The triangle has a value of x=22°.
What is a triangle?The three vertices of a triangle make it a three-sided polygon. The angles of the triangle are formed by the three sides' end-to-end connections at a point. 180 degrees is the sum of the triangle's three angles.
Having three sides, a triangle is a form. Each kind of triangle has a unique name. The size of the angles and side lengths determine what kind of triangle it is (corners). Triangles can be classified as equilateral, isosceles, or scalene depending on how long their sides are.
The sum of all the angles in a triangle must be °
120° + (x+16)° + x° = 180°
2x + 136° = 180°
2x = 180° - 136°
2x° = 44°
x = 22°
The triangle has a value of x=22°.
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if the slope of a line is 4/3. I would count
Answer:
1.3
Step-by-step explanation:
Just put it in the caculator
Answer:
Up 4 and right 3
Step-by-step explanation:
Rise over run. Rise is either up(positive) or down(negative). Run is either left(negative) or right(positive).
Find the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0)
The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.
To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.
The slope of a line can be found using the formula:
slope = (change in y) / (change in x)
For the line containing (1,2) and (5,3), the slope is:
slope1 = (3 - 2) / (5 - 1) = 1 / 4
To find the slope of the line containing (x,4) and (3,0), we use the same formula:
slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)
Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.
So, we can set up the equation:
-1 / (1/4) = -4 / (3 - x)
Simplifying this equation:
-4 = -4 / (3 - x)
To remove the fraction, we can multiply both sides by (3 - x):
-4(3 - x) = -4
Expanding and simplifying:
-12 + 4x = -4
Adding 12 to both sides:
4x = 8
Dividing both sides by 4:
x = 2
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On 1 April mazibane has R540, 00 in his credit card account. He buys a lounge suit for R8300, 00 on credit. There is no interest on the debit amount for the first month. Thereafter the interest is 16% per year calculated daily but compounded monthly. On 1 June Mazibane pays R5000 into the account.
How much must Mazibane pay into the account on 30 June to have no debt in the account
According to the information, we can infer that Mazibane must pay R3640 into the account on 30 June to have no debt.
How to calculate the amount Mazubane must pay on 30 June?To calculate the amount Mazibane must pay on 30 June to have no debt in the account, we need to consider the initial debt, the interest, and the previous payment.
Initial Debt:
On 1 April, Mazibane had a credit card debt of R8300.Interest Calculation:
The interest on the debt is 16% per year, calculated daily but compounded monthly. From 1 April to 1 June, a period of two months, there is no interest charged on the debt.Previous Payment:
On 1 June, Mazibane paid R5000 into the account.To determine the remaining debt on 1 June, we subtract the payment from the initial debt:
Remaining debt on 1 June = R8300 - R5000 = R3300.From 1 June to 30 June, a period of one month, interest is charged on the remaining debt.
To calculate the interest for one month, we use the formula:
Interest = Principal x (1 + (rate/100))^(time/12) - Principal,where the principal is the remaining debt, the rate is the monthly interest rate (16%/12), and the time is the number of months (1).
Interest for one month = R3300 x (1 + (16/100)/12)^(1/12) - R3300.To find the total debt on 30 June, we add the remaining debt on 1 June and the interest for one month:
Total debt on 30 June = R3300 + Interest for one month.To have no debt on 30 June, Mazibane must pay the total debt amount:
Mazibane must pay R3300 + Interest for one month on 30 June.Calculating the interest and summing up the values, we find that Mazibane must pay approximately R3640 into the account on 30 June to have no debt.
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If a figure is a rectangle, it is a parallelogram.
P: a figure is a rectangle
Q: a figure is a parallelogram
which represents the inverse of this statement is the inverse true or false 
The inverse statement is false.
The inverse of the statement "If a figure is a rectangle, it is a parallelogram" would be:If a figure is not a rectangle, then it is not a parallelogram.To determine if the inverse is true or false, we need to evaluate its validity. In this case, the inverse statement is false. Just because a figure is not a rectangle does not mean it cannot be a parallelogram. There are other types of parallelograms, such as squares and rhombuses, that are not rectangles. Therefore, the inverse statement is false.For such more questions on inverse
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One brand of cola co fizz is sold in packs of 4*500ml for 2.50 another brand colo is sold in packs of 10 330mlfo $2 which brand is more expensive
Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.
To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.
For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.
For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.
Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.
Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.
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You and a friend went to the movies. You decide to get some snacks. You got 2 boxes of candy that cost $3.49 for each box. You also purchased a soda for $4.82. Your friend wants to share and split the cost ($5.50) of a large popcorn. How much did you spend on your snacks all together?
Answer:
$14.55
Step-by-step explanation:
that is the total cost of the snax
The cost of 7 potted plants and 2 bags of compost is £41. The cost of 3 potted plants and 4 bags of compost is £27. Emily wants to buy 4 potted plants and 5 bags of compost. How much will this cost Emily?
The cost of 4 potted plants and 5 bags of compost will be $35.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the cost of 7 potted plants and 2 bags of compost is £41. The cost of 3 potted plants and 4 bags of compost is £27. Emily wants to buy 4 potted plants and 5 bags of compost.
From the equation get the unit cost for potted plants and bags of compost.
7p + 2c = 41
3p + 4c = 27
Solve the equations by elimination method,
14p + 4c = 82
-3p - 4c = -27
____________
11 p = 55
p = 5
The value of c will be,
3p + 4c = 27
3 x (5) + 4c = 27
15 + 4c = 27
4c = 27 - 15
4c = 12
c = 3
The cost of 4 potted plants and 5 bags of compost is,
Cost = 4p + 5c
Cost =(4 x 5 ) + ( 5 x 3 )
Cost = 20 + 15
Cost = $35
Therefore, the cost of 4 potted plants and 5 bags of compost will be $35.
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can someone please help me ??! and show my steps i’m so lost and need this done. :( it’s geometry
Answer:
8.38 m^3
Step-by-step explanation:
The volumes are in proportion to the cubes of their radii.
Compare volumes in the form big cone / small cone.
\(\frac{131}{V_\text{small}}=\frac{5^3}{2^3}\\\frac{131}{V_\text{small}}=\frac{125}{8}\)
"Cross multiply."
\(125V_\text{small}=8\cdot131\\125V_\text{small}=1048\\V_\text{small}=\frac{1048}{125}\approx 8.34\text{ cm}^3\)
A group of four components is known to contain two defectives. An inspector tests the components one at a time until the two defectives are located. Once she locates the two defectives, she stops testing, but the second defective is tested to ensure accuracy. Let Y denote the number of the test on which the second defective is found. Find the probability distribution for Y. (Enter your probabilities as fractions.)
Answer:
Step-by-step explanation:
Let D stand for a defective unit,
G for a good unit.
Y can only be 2, 3, or 4.
P(Y=2):
\(=\frac{2}{4} \times\frac{1}{3} =\frac{1}{6}\)
Need to have D, D. There are 2 Ds of 4 total to start, then presuming the first was a D, there is 1 D of 3 total for the second choice.
P(Y=3):
Need to have D,G,D or G,D,D
\(=\frac{2}{4} \times\frac{2}{3} \times \frac{1}{2} +\frac{2}{4}\times \frac{2}{3}\times \frac{1}{2} \\\\=\frac{1}{6}+\frac{1}{6}\\\\=\frac{1}{3}\)
\(P(Y=4) = 1 - (P(Y=2) + P(Y=3) \\\\= 1 - \frac{1}{6} - \frac{1}{3} \\\\= \frac{1}{2}\)
So:
P(Y=2) = 1/6
P(Y=3) = 1/3
P(Y=4) = 1/2
P(Y=n) = 0 for all other values of n
100 Points! Geometry question. Identify the similar triangles. Then find each measure. Photo attached. Please show as much work as possible. Thank you!
The similar triangles for this problem are given as follows:
RST and VUT.
Then the measure VT is given as follows:
VT = 5.4 units.
What are similar triangles?Similar triangles are triangles that share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.Hence the similar triangles for this problem are given as follows:
RST and VUT.
The proportional relationship for the side lengths is given as follows:
6/14 = (x + 2)/(4x - 1).
Applying cross multiplication, the value of x is obtained as follows:
14(x + 2) = 6(4x - 1)
14x + 28 = 24x - 6
10x = 3.4
x = 3.4.
Then the length VT is given as follows:
VT = 3.4 + 2
VT = 5.4 units.
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-x + 4y = -4
y = 1/2x -2
Step-by-step explanation:
-x + 4y = -4
y = 1/2x -2
-x + 4(1/2x - 2) = -4
-x + 2x - 2 = 4
x = 4 + 2
x = 6
y = 1/2x - 2
y = 1/2 x 6 - 2
y = 3 - 2
y = 1
(x, y) = (6, 1)
Each question is worth 10 pts, I will do brainliest for the person who does both and follow pls help.
1. One scoop of ice cream weighs about
2 ounces. Last Thursday the ice-cream parlor used 18 pounds of ice cream. About how many scoops of ice cream were served last Thursday?
2. Doris's bill at the ice-cream parlor comes to $2.54. She realizes that she doesn't have any dollar bills, so she is paying with coins. She has 24 coins including quarters, dimes, nickels, and pennies. She has the same number of nickels as quarters and twice as many dimes as quarters. If she has 5 nickels, how many quarters, dimes, and pennies does she have?
1. About 144 scoops of ice cream were served last Thursday.
2.Doris has 5 quarters, 10 dimes, and 5 nickels, and 4 pennies.
According to given information1. There are 16 ounces in a pound, so 18 pounds of ice cream weigh:
18 pounds * 16 ounces/pound = 288 ounces
Since one scoop of ice cream weighs 2 ounces, the number of scoops served is:
288 ounces / 2 ounces/scoop = 144 scoops
Therefore, about 144 scoops of ice cream were served last Thursday.
2. Let's use "q", "d", "n", and "p" to represent the number of quarters, dimes, nickels, and pennies that Doris has, respectively.
From the problem statement, we know that:
n = q (the number of nickels equals the number of quarters)
d = 2q (the number of dimes is twice the number of quarters)
n = 5 (she has 5 nickels)
We can use this information to write an equation for the total value of Doris's coins:
0.25q + 0.10d + 0.05n + 0.01p = 2.54
Substituting the values for n and d in terms of q, we get:
0.25q + 0.10(2q) + 0.05(5) + 0.01p = 2.54
Simplifying and solving for q, we get:
0.45q + 0.05 + 0.01p = 2.54
0.45q + 0.01p = 2.49
45q + p = 249
Since Doris has a total of 24 coins, we can write another equation:
q + d + n + p = 24
Substituting the values for n and d in terms of q, we get:
q + 2q + q + p = 24
4q + p = 24
We now have two equations with two unknowns:
45q + p = 249
4q + p = 24
Subtracting the second equation from the first, we get:
41q = 225
Solving for q, we get:
q = 225/41 ≈ 5.49
Since q must be a whole number, the closest integer value is 5. Substituting this value back into the equations for n and d, we get:
n = q = 5
d = 2q = 10
Finally, we can use the equation for the total number of coins to find the value of p:
q + d + n + p = 24
5 + 10 + 5 + p = 24
p = 4
Therefore, Doris has 5 quarters, 10 dimes, and 5 nickels, and 4 pennies.
What is the history of quarters ?Quarters are a type of coin used in the United States currency system. A quarter is worth 25 cents or 1/4 of a dollar. It has a diameter of 0.955 inches (24.26 mm) and a thickness of 0.069 inches (1.75 mm). The front side of the coin features a portrait of George Washington, the first president of the United States, and the back side features an eagle. Quarters are commonly used in daily transactions to make small purchases or provide change.
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PLEASE HELP ME
The function f(x) = -2(4)^x+1 +140
represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
PLEASE SEE PHOTO FOR FUNCTION
The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).
The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.
To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.
For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.
Therefore, the practical domain of the situation is x ≥ 0.
For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.
Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.
Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).
To summarize:
- The practical domain of the situation is x ≥ 0.
- The practical range of the situation is [140, ∞).
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this is one of my homework questions and if possible please help, I do some of it to a certain point but then get stuck. if im correct, the right choice is sin with a degree but I need some guidance. Thank you!
Given the expression:
\(2\sin 67.5\degree\cos 67.5\degree\)The angle of the sine and the cosine is the same angle = 67.5°
The given expression is the same as the rule of the sine of the double angle
Where:
\(2\sin \theta\cos \theta=\sin (2\theta)\)so, we will use the sine double-angle to solve the question
So, the answer will be:
\(\sin (2\cdot67.5\degree)=\sin 135\degree\)So, the answer will be option B) sin 135°
What are the roots of the polynomial function? F(x) = x3 + 3x2 - 9x + 5
There are 24 students in a class and a decrease of 15%. How many students would you have?
Answer:
20
Step-by-step explanation:
85% of 24 is 20
What is the base of the expression 11 12?
Answer: 11
Step-by-step explanation:
Evaluate the expression
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Answer:
11
Step-by-step explanation:
Substituting the values of x, y, and z into the expression, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.
Answer:
11
Step-by-step explanation:
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Substituting the given values of x, y, and z, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.
BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).
simplify (1+tan^2x)/(tan^2x)
[?]^2x
Answer:
1+tan2x=sec2x.
Explanation: Change to sines and cosines then simplify.
Find the slant height of the pyramid.
7 mm
6 mm
8 mm
5 mm
Answer:
5 mm
Step-by-step explanation:
Given:
A rectangular pyramid
h (height) = 4 mm
l (side length) = 6 mm
Find: s (slant height) - ?
There is a right triangle in the middle
The bottom leg is 3 mm, because it's half the side length of the square
According to that, we can find x by using the Pythagorean theorem:
\( {x}^{2} = {3}^{2} + {4}^{2} = 9 + 16 = 25\)
\(x > 0\)
\(x = \sqrt{25} = 5\)
The number of bacteria in a certain population increases according to a continuous exponential growth rate parameter of 5.4% per hour. How many hours does it take for the size of the sample to double? Round your answer to the nearest hundredth.
We can express the groth of the bacterias by the following expression:
\(g(t)=A\times(1.054)^t\)Where A is the initial amount of bacteria, we want to know how many hours we need to double the initial amount. So we want to solve:
\(2\times A=A\times(1.054)^t\)Lets use natural logaritm to help to solve the question:
\(2\times A=A\times(1.054)^t\rightarrow2=(1.054)^t\rightarrow\ln 2=\ln (1.054)^t\rightarrow\ln 2=t\times\ln 1.054\rightarrow t=\frac{\ln 2}{\ln 1.054}\cong13.179594\)So, we need 13.18 hours to double our initial amount.
Round the number 246.13687 to the nearest thousandth
Answer:
246.137
Step-by-step explanation:
246.13687 ≈ 246.137 (rounded to the nearest thousandth)
A company has two manufacturing plants with daily production levels of 5x+11 items and 2x-3 items, respectively. The first plant produces how many more items daily than the second plant?
help me please
The first plant prοduces 3x + 14 more items daily than the second plant.
What are equations?An equation is a mathematical statement that says two expressions are equal. Equations are used to represent relationships between quantities and to solve problems involving unknown values.
To find the daily production difference between the two plants, we need to subtract the daily production of the second plant from the daily production of the first plant:
(5x + 11) - (2x - 3)
Simplifying this expression, we get:
5x + 11 - 2x + 3
Combining like terms, we get:
3x + 14
Therefore, the first plant produces 3x + 14 more items daily than the second plant.
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If a perpetuity pays a cash flow (C) every time period, forever, how come it is not worth an
infinite amount of money right now? Explain.
On thurday, lisa had 5$ in her bank account. she went to target to purchase stickers for her class. each pack of stickers cost 2$
write an inequality that represents s, the number of stickers purchased that resulted in her account ending in -10.
The area of a rectangle is 3x2 - 12x square yards. If the width is 3x yards, what is the length of the rectangle?
Answer:
x - 4 yards.
Step-by-step explanation:
Given:
Area of rectangle = 3x^2 - 12x square yards
Width = 3x yards
To find:
Length of rectangle
Solution:
The area of a rectangle is equal to the product of its length and width.
Area of rectangle = Length * Width
Substituting the given values, we get:
3x^2 - 12x = Length * 3x
Length =( 3x^2 - 12x )3x
Length = x-4
Therefore, the length of the rectangle is x - 4 yards.
Answer: The length of the rectangle is x - 4 yards.
Step-by-step explanation:
We can create an equation to solve this word problem, where the variable L = length.
3x × L = \(3x^2 - 12x\)
We need to solve for the variable L, to find the length of the rectangle.
First lets factor the right side of the equation to make it easier to divide with.
3x × L = \(3x^2 - 12x\)
We can factor out 3x from the right side of the equation.
3x × L = 3x(x - 4)
Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.
3x × L = 3x(x - 4)
/3x /3x
L = x - 4
The length of the rectangle is x - 4 yards.
NEED HELP PLEASE
Complete the table to find the pattern in the number of combinations.
Row 0 0C0 = 1
Row 1 1C0 = 1 1C1 = 1
Row 2 2C0 = 1 2C1 = ? 2C2 = 1
Row 3 3C0 = 1 3C1 =? 3C2 = ? 3C3 = 1
Row 4 4C0 = 1 4C1 = ? 4C2 = ? 4C3 =? 4C4 = 1
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The formula for nCk is ...
nCk = n!/(k!(n -k)!)
It always works out that nC0 = 1 and nC1 = n, and the sequence of numbers across a row of the diagram is symmetrical about the center.
This means you only need to calculate one value to finish filling your diagram.
4C2 = 4!/(2!(2!)) = (4·3)/(2·1) = 6
You will find the pattern to be ...
each element in the diagram is the sum of the two above it.
Suppose that X stands for a temperature in degrees Celsium, Y the same temperature in degrees Fahrenheit. So: Y = (9/5)*X + 32
Let E(X)=10 and Var(X)=2, Find E(Y) and Var(Y).
The value of E(Y) and Var(Y) are 50 and 178/5 respectively
Temperatures measurementGiven the formula for temperature conversion expressed as:
Y = (9/5)*X + 32
where:
X stands for a temperature in degrees Celsius,
Y the same temperature in degrees
If E(X) = 10, then;
Y = (9/5) * 10 + 32
Y = (9*2) + 32
Y = 18 + 32
Y = 50
Hence E(Y) = 50
If Var(X) = 2
Y = (9/5) * 2 + 32
Y = 18/5 + 32
Y = 178/5
Hence Var(Y) = 50
The value of E(Y) and Var(Y) are 50 and 178/5 respectively
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how many minutes are there in 12.5 hours
Answer:
750 minutes
Step-by-step explanation:
there are 750 minutes in 12,5 hours hope that helps
Answer:
Everyone else is correct it's 750 minutes
i need help asap
than you!
The highest height for the daily rainfall were for 5 and 6 inches
How to Interpret Dot Plots?Dot plots are used to present data in the form of points or small circles. It is similar to a simplified histogram or bar graph in that the height of the bar made up of points represents the numerical value of each variable. Dot plots are used to represent small amounts of data.
From the given dot plot, we see the number of times for each height of rainfall.
Thus, we see that the highest number of times of rainfall height was from that of 5 and 6 inches.
Thus, we conclude those were the highest heights for the daily rainfall.
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