The measure οf angle x is 110°, while the measure of angle y is 70°.
What is arc?A circle's arc is referred tο as a pοrtiοn οr sectiοn οf its circumference. A chοrd οf a circle is a straight line that might be created by jοining the arc's twο ends.
Tο sοlve fοr x, we use the fοrmula `angle = 1/2(arc1+arc2)`. Here's hοw we can use this fοrmula:
Step 1: Identify the angles and arcs in the prοblem.
Step 2: Plug in the values in the fοrmula and sοlve fοr x.
Frοm the given figure, we can see that the twο arcs (arc1 and arc2) have measures 140° and 80°, respectively. We need tο find the angle x.
Step 3: Plug in the values in the fοrmula and sοlve fοr x.
The fοrmula `angle = 1/2(arc1+arc2)` relates the angle (in degrees) between twο radii οf a circle tο the arcs cut οff by these radii. Using this fοrmula, we have: angle = 1/2(arc1 + arc2)angle = 1/2(140° + 80°)angle = 1/2(220°)angle = 110°
Thus, the measure οf angle x is 110°.
Using vertical opposite property:
x + x + y + y = 360
110+ 110+ 2y = 360
110+ 110+ 2y = 360
2y = 360 - 220
2y = 140
y = 140/2
y = 70°
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At a market, a pear cost bc and an apple cost 5 ¢ less than a pear. Mrs Ravi bought 5 pears and an apple. (a) (b) Find the total amount in cents Mrs Ravi paid in terms of b. If each pear cost 60 c, how much did Mrs Ravi pay? Leave your answer in cents.
Answer:
$355
Step-by-step explanation:
if each pear is 60c and apples are 5c less...
60×5=300
300+55=355
because 60-5=55
Which of the ratios below is equivalent to 1:8? Select all that apply.
A) 16:2
B) 3:24
C) 4:12
D) 5:40
E) 7:56
Answer:
B) 3:24
D) 5:40
E) 7:56
Step-by-step explanation:
3x8= 24
3:24= 1:8
5x8= 40
5:40= 1:8
7x8= 56
7:56= 1:8
which number describes the average amount of error in the regression line's predicted rotten tomato ratings?
The average amount of error in the regression line's predicted rotten tomato ratings is typically represented by the root mean squared error (RMSE).
The average amount of error in the regression line's predicted rotten tomato ratings is typically described by the root mean squared error (RMSE). RMSE is a common metric used to evaluate the accuracy of a regression model's predictions. It represents the square root of the average squared differences between the predicted values and the actual values.
By calculating the RMSE for the regression line's predicted rotten tomato ratings, you can determine the average amount of error in those predictions.
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Dracula is broke. He had to borrow $5 from you. Now you are broke. You have to borrow $5 from your brother franjenstein. Now Frankenstein is broke. He has to borrow $2 from Dracula. How can everybody be paid back in just one payment i
Answer:
Have Dracula pay you $5
Step-by-step explanation:
This whole thing happened because Dracula was broke. If $5 is given to Dracula, he can give you back $5 so you can return 5$ to Frankenstein. Then Frankenstein can give $2 back to Dracula.
. What is the value of x in the figure? * 1 point Captionless Image A. 180 B. 90 C. 40 D. 8
Help I’m bad at math and need to get my grade up
Lesson 7: Exit Ticket
Footprints in the Sand
A scale model of an Egyptian pyramid has a square base of 4 feet on each side and a height of
3 feet. The model is packed for shipping in a rectangular box in which the pyramid fits tightly.
a. What is the minimum volume of the box?
b. What is the volume of the empty space that needs to be filled with packing peanuts to protect
the model?
The minimum volume of the box is 48 feet³.
The volume of the empty space that needs to be filled with packing peanuts to protect the model is 32 feet³.
What is Volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume.
Given:
Pyramid base= 4 cm, height= 4 cm
So, Volume of pyramid
= a²h/3
= 16 x 3 /3
= 16 feet³
and, Volume of Cuboidal box
= lbh
= 4 x 4 x 3
= 16 x 3
= 48 feet³
So, Volume of empty space in box
= 48- 16
= 32 feet³
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please help I will give you any award
Answer:
218.57
Step-by-step explanation:
Since it is an isoceles triangle, the sides are 32, 32, and 14.
Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2, we can calculate the area.
(A+B+C)/2 = (32+32+14)/2=39.
A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.
Hope this helps have a great day :)
Check the picture below.
so let's find the height "h" of the triangle with base of 14.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)
362.4 x 16 - 2t + 83t x (2 - 10t)
Using PEDMAS to simplify the expression, the result is -830t² + 164t + 5798.4
Simplification of ExpressionsTo solve this problem, we have to simplify the expression. This is a process of breaking it down from a complex form to the least possible form. In doing this, we often apply mathematical operations such as multiplication, addition, subtraction etc.
In the expression 362.4 * 16 - 2t + 83t * (2 - 10t)
Let's apply PEDMAS here
362.4 * 16 = 5798.4
83t (2 - 10t) = 166t - 830t²
We can bring them together now;
5798.4 - 2t + 166t - 830t²
Collecting like terms
-830t² + 164t + 5798.4
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On babylonian tablet ybc 4652, a problem is given that translates to this equation: x x plus startfraction x over 7 endfraction plus startfraction 1 over 11 endfraction left-parenthesis x plus startfraction x over 7 endfraction right-parenthesis equals 60.(x ) = 60 what is the solution to the equation? x = 48.125 x = 52.5 x = 60.125 x = 77
The correct option is (A). The solution of the equation is x=48.125.
Given an equation \(x+\frac{x}{7}+\frac{1}{11}\left(x+\frac{x}{7}\right)=60\).
A statement that uses the equal sign to show that two expressions have the same value is called an equation. The equation is represented as ax+by=c.
Firstly, we will apply the distributive property to the given equation a×(b+c)=ab+ac, we get
\(x+\frac{x}{7}+\frac{x}{11}+\frac{x}{77}=60\)
Now, we will simplify the right-hand side equation by taking LCM, we get
\(\begin{aligned}\frac{77x+11x+7x+x}{77}&=60\\ \frac{96x}{77}&=60\end\)
Further, we will multiply both sides with 77, we get
77×(96x/77)=77×60
96x=4620
Then, we will divide both sides with 96, we get
96x/96=4620/96
x=48.125
Hence, the solution of the given equation \(x+\frac{x}{7}+\frac{x}{11}+\frac{x}{77}=60\) is x=48.125.
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Answer:
The correct option is (A). The solution of the equation is x=48.125.
Given an equation .
A statement that uses the equal sign to show that two expressions have the same value is called an equation. The equation is represented as ax+by=c.
Firstly, we will apply the distributive property to the given equation a×(b+c)=ab+ac, we get
Now, we will simplify the right-hand side equation by taking LCM, we get
Further, we will multiply both sides with 77, we get
77×(96x/77)=77×60
96x=4620
Then, we will divide both sides with 96, we get
96x/96=4620/96
x=48.125
Hence, the solution of the given equation is x=48.125.
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Step-by-step explanation:
abc is a right triangle with ab=ac. bisector of <a meets bc at d. prove that bc = 2ad.
Answer:
Let ac=ab=5
With this, bc= 5√2
Step-by-step explanation:
So to find ad, Let ad be x
5√2=(2)(x)
(5√2/2)= x
This proves that bc=2ad
Graph f(x) = log base 3 x-1
Hello there. To solve this question, we have to remember how to graph a function.
First, remember that the logarithm in any base is an injective function (one-to-one).
We have to find its key-features before graphing it.
These key-features includes: x-intercept, y-intercept (if it exists), its vertical asymptote.
Okay. To find the x-intercept, set the function equal to zero:
\(f(x)=\log_3(x)-1=0\)Adding 1 on both sides, we get
\(\log_3(x)=1\)Apply the property:
\(\log_a(b)=c\Rightarrow b=a^c\)Hence we have
\(x=3^1=3\)So the x-intercept happens at x = 3.
To determine whether or not it has an y-intercept, we check if the limit as x goes to zero from both sides exists and are equal:
\(\begin{gathered} \lim_{x\to0^+}\log_3(x)-1=-\infty \\ \\ \lim_{x\to0^-}\log_3(x)=-\infty \end{gathered}\)In this case, this means we cannot evaluate this function at x = 0, so it doesn't have y-intercept(s).
Next, to determine its vertical asymptote, we check the value of x for which the argument goes to zero, that is
\(x=0\)Therefore it has a vertical asymptote at x = 0.
The graph is then given by:
This is a sketch of the graph of the function.
The final answer to this question is contained in the last option.
Range of 63, 42, 28, 45, 36, 48, 32, 40, 57, 49
PLEASE HELP. NO LINKS. (LINKS WILL BE REPORTED.) NEED REAL EXPLANATION ALONG WITH THE CORRECT ANSWER CHOICE OR CHOICES.
Answer:
False true true true
Step-by-step explanation:
So sorry for the rough sketch but that is how it will reflect
HELP PLZZ!!!! (pic attached)
cual se sipone que hay que responder?
The mean temperature of 10 cups of coffee is 89.6°C. The mean temperature of a different collection of 20 cups of coffee is 92.1 °C. What is the mean temperature of all 30 cups of coffee?
Answer:
91.3 degrees celsius
Step-by-step explanation:
Here, we want to calculate the mean temperature of the 30 cups
From what we have here, if we multiplied the mean by the count of cups, we have the total
That means, we have the total temperature of all as;
(10 * 89.6) + (20 * 92.1) = 2,738
So to get the temperature of the thirty, we divide this by 30 as follows;
2,738/30 = 91.3
can you tell me what 6+3.9 is
Answer:
9.9
Step-by-step explanation:
Explain how to plot y=-x+3 on a graph
1. Identify the linear equation. y = mx + b
2. Take (b) and plot it on the y axis. Since b is a positive 3, that means you plot a positive 3 on the y axis. This will be the number that your line crosses the y axis on.
3. Take (mx) and plot it in correlation to (b). mx = -x also known as -1. So, from +3 on the y axis, move once to the left and once down. Your coordinate should land on (2, 1).
From here on out, keep moving -1 on the y axis and +1 on the x axis. The ongoing coordinates should look something like (1, 2)(0, 3)(-1, 4) and so on.
Solve each system using Cremer’s rule and please describe how you got the answer
9. The solution is (x, y) = (4/3, -5/3).
10. The solution is (x, y) = (1, 2).
The coefficient matrix is:
| -1 5 |
| 1 -2 |
The determinant of the coefficient matrix is:
|-1 5 | |-2 5 |
| 1 -2 | = (-1)(-2) - (5)(1) = 3
The matrix formed by replacing the first column of the coefficient matrix with the constants on the right side of the equation is:
| 2 5 |
|-2 -2 |
The determinant of this matrix is:
| 2 5 | | -2 5 |
|-2 -2 | = (2)(-2) - (5)(-2) = -4 + 10 = 6
|-1 2 |
| 1 -2 |
The determinant of this matrix is:
|-1 2 | | 1 2 |
| 1 -2 | = (-1)(-2) - (2)(1) = 2
Using Cramer's rule:
x = |2 5| / 3 = 4/3
|-2 -2|
y = |-1 2| / 3 = -5/3
|1 -2|
10.The coefficient matrix is:
| -5 -5 |
| -2 -4 |
The determinant of the coefficient matrix is:
|-5 -5 | |-2 -5 |
|-2 -4 | = (-5)(-4) - (-5)(-2) = -10
The matrix formed by replacing the first column of the coefficient matrix with the constants on the right side of the equation is:
| 25 -5 |
| 16 -4 |
The determinant of this matrix is:
| 25 -5 | | 16 -5 |
| 16 -4 | = (25)(-4) - (-5)(16) = -100 + 80 = -20
|-5 25 |
|-4 16 |
The determinant of this matrix is:
|-5 25 | |-4 25 |
|-4 16 | = (-5)(16) - (25)(-4) = -80 -(-100) = 20
Using Cramer's rule:
x = |-5 -5| / -10 = 1
|-2 -4|
y = |-5 25| / -10 = 2
|-4 16|
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The average August temperatures (y) and geographic latitudes (x) of 12 cities in the United States were studied. The regression equation for these data is Temperature 90.4 -1.23*(latitude) What is the slope of the line? Interpret the slope The latitude changes by 90.4 for every change of temperature The temperature changes by 1.23 for every change of one latitude A one degree increase of temperature is a 1.23 drop in latitude O To get 90.4 more degrees of temperature you must climb one degree of latitude If you climb 90.4 degrees of latitude you will get an increase of one degree in temperature O An increase of one latitude is a 1.23 drop in temperature Estimate the mean August temperature for a city with latitude of 22. Use 2 decimal places San Francisco has a latitude of 39. What would you predict for the mean August temperature of San Francisco? Use 2 decimal places Given that the mean August temperature in San Francisco is actually 69 calculate the residual (prediction error) for San Francisco It should be observed minus predicted. If you do it wrong your answer have the positive and negative switched Use 2 decimal places The latitude at the equator is 0. Estimate the average August temperature at the equator. Use 1 decimal place
In the given regression equation, the slope of the line is - 1.23.
Regression equation:
in statistics, regression equation means the mathematical expression of the relationship between a dependent variable and one or more independent variables that results from conducting a regression analysis.
Given,
The average August temperatures (y) and geographic latitudes (x) of 12 cities in the United States were studied. The regression equation for these data is Temperature 90.4 -1.23*(latitude)
Here we need to the slope of the line.
While we looking into the given regression equation,
Temperature = 90.4 - 1.23x(latitude)
While we compare this one with the general slope of the line equation,
y = mx + c
where m refers the slope of the line.
Then we get the value of slope as -1.23.
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What are the domain, range, and asymptote of h(x) = (1.4)x + 5?domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5domain: {x | x > 5}; range: {y | y is a real number}; asymptote: y = 5domain: {x | x > –5}; range: {y | y is a real number}; asymptote: y = –5domain: {x | x is a real number}; range: {y | y > –5}; asymptote: y = –5
Answer:
A.Domain:{x\x is a real number }
Range:{y\y>5}
Asymptote :y=5
Step-by-step explanation:
We are given that a function
We have to find the domain, range and asymptote of h(x).
It is exponential function therefore, it is defined for all values of x.
Hence, domain of h(x)={x| x is a real number}
Substitute x=0 then we get
(a^0=1)
Hence, range of h(x)={y|y>5}
For exponential function,
Horizontal asymptote: when
Apply limit
Hence, the horizontal asymptote y=5.
This graph suggests that the greater the rainfall in June through August, the fewer acres are burned by wildfires. Which factor in the graph supports this idea?
The factor in the graph that supports the idea that the greater the rainfall in June through August, the fewer acres are burned by wildfires is the negative correlation between rainfall and acres burned.
The graph shows a negative correlation between the amount of rainfall in June through August and the number of acres burned by wildfires. As the amount of rainfall increases, the number of acres burned decreases. This suggests that wetter weather can help reduce the risk of wildfires.
The graph provides a visual representation of the relationship between rainfall and wildfires. It shows that there is a clear negative correlation between the two variables. This means that as one variable increases, the other decreases. In this case, the variable of interest is the number of acres burned by wildfires. The graph shows that when there is less rainfall in June through August, more acres are burned by wildfires. Conversely, when there is more rainfall during these months, fewer acres are burned. This makes sense because rainfall can help reduce the risk of wildfires by making vegetation less dry and therefore less susceptible to catching fire. Additionally, wetter weather can help firefighters contain and extinguish fires more quickly and effectively.
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. A rectangular tank is 32 cm wide and 45 cm long. It
contains three identical plastic water plants and is
filled with water to a height of 10 cm. When Amy
pulls all three plastic water plants out of the tank,
the height of the water drops to 8 cm. Find the
volume of one plastic water plant.
PLEASE HELP!! WILL GIVE BRAINLIEST
Answer: 960^3 cm or 960 cubic centimeters
Step-by-step explanation:
Cubic because measuring 3 dimensions.
32x45 = area of given face
32x45= 1440
height of water = 10 cm
so,
area of given face x 10 =
32x45x10 or lxwxh (Volume)
so
1440x10= 14,400
1440x8= 11,520
so 14,400 - 11,520 = 2880
V of three plants = 2880
so, 2880/3 = volume of one plant
2880/3=960
V of singe plant = 960 units ^ 3
The difference in volumes represents the total volume of three plants, so answer should be divided by 3.
Hope This Helped!
Answer: one plastic water plant volume = 960 cm³
Step-by-step explanation:
Total volume = Water Volume + 3 plants volume
Total Volume = 32 cm x 45 cm x 10 cm = 14 400 cm³
Water volume = 32 cm x 45 cm x 8 cm = 11 520 cm³
3 Plants volume = 14,400 cm³ - 11,520 cm³ = 2880 cm³
1 Plant volume = 2,880 cm³ : 3 = 960 cm³
What does the point (6,2) represent?
2. A botanist grew a variety of hibiscus with spots on the petals. Below is a list of the number of
spots on a random sample of flowers,
7, 11, 3, 11, 7, 9, 5, 5, 7, 5,5
Assuming that the sample was representative of all of the flowers, what was the mode of the
number of spots on a flower?
O A. 9
OB. 5
O C. 7
O D. 6.82
Answer:
5
Step-by-step explanation:
The mode is the number that appears the most in a set.
5 appears 4 times
7 appears 3 times
11 appears 2 times
9 and 3 appear 1 time
5 is the mode as it appears the most amount of times.
Please give brainliest if I helped!
Market and More is having a cereal sale. Every box of cereal is 5050 off the regular price.
Jane has $10 and she wants to buy 4 boxes of the same cereal. Solve the inequality below to determine the regular price of cereal that she can afford. 4(r - 0.6) ≤ 10, where r = regular price. Show your work.
Answer:
10 >= 4(r-.60)
Step-by-step explanation:
Let r be the regular price of a box of cereal
The sale price is .60 off
New price is r-.60
She wants to buy 4 boxes, so multiply the new price by 4
4(r-.60)
She only has 10 dollars so the price must be less than or equal to 10 dollars
10 >= 4(r-.60)
If micheal invests $2000 in the bank at a rate of 5.5% for 6 years how much interest will he make?
help me plz
Answer: 14,533.79 don´t take my word for it
Step-by-step explanation:
Future Value of Annuity Due
P = 2,000
r = 5.5% (0.055)
n = 6
1.055 * (2,000 * [(1 + 0.055)^6 - 1)/(0.055)])
= 14,533.79
4x what = 364
please put the calculation
Answer:
91
Step-by-step explanation:
4 x 91 = 364
To work this out, we must do the inverse operation. The inverse (opposite) of x (times or multiply) is ÷ (divide).
So, we do 364 ÷ 4 = 91
Hope this helps!
- profparis
Katie and Jill currently share a dresser, and each would like to have one of her
own. As a valued member at the local furniture store, you receive an additional
discount off each purchase. Calculate the amount of discount off each item. (2
points)
17% off a $35 dresser
12% off a $32 dresser
20% off a $55 bookshelf
12% off a $22 mirror
Answer: A
explain: because 17 = 35
This agency preserves and promotes public confidence in the U.S. Financial system by insuring deposits in banks and thrift institutions for at least $250,000.