Answer:
153.94 cm2
Step-by-step explanation:
Circle area = π * r² = π * 49 [cm²] ≈ 153.94 [cm²]
π ≈ 3.14159265 ≈ 3.14
d = r * 2 = 7 [cm] * 2 = 14 [cm]
MARK AS BRAINLIEST PLS I TOOK 3 HOURS THINKING ABOUT THIS
Pls can someone answer how to round 5pi to the nearest 10th I’ll give you brain points or whatever
Answer:
Step-by-step explanation:
5\(\pi\)=15.70...
To round a number to the nearest tenth , look at the next place value to the right (the hundredths)which is 0 in this question.
Thus, it will become 15.7
The circumference of the circle is 5π mm or 15.7 mm if the diameter of the nickel (circle) is 5 millimeters.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
It is given that:
The diameter of the nickel (circle) is 5 millimeters
D = 5 millimeters
The circumference of the circle = πD
Plug D = 5 millimeters in the above formula:
The circumference of the circle = 5π mm
As we know,
π = 3.141 ≈ 3.14 (Rounded to the nearest the Hundredths Place)
The circumference of the circle = 5π = 15.70796 mm
The circumference of the circle = 15.70796 = 15.7 mm
(Rounded to the nearest Tenths Place)
Thus, the circumference of the circle is 5π mm or 15.7 mm if the diameter of the nickel (circle) is 5 millimeters.
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help solve the problem .
HELPPPPPPPP ASAP !!!!!!!!!!!!!!!
Answer
(4x-5) = -20 (2x+8) = 2
Step-by-step explanation:
2 x − 8 = 2 2x-8=2 2x−8=2. Add 8 to both sides. Simplify 2 + 8 2+8 2+8 to 10. Divide both sides by 2. If its wrong then I’m very sorry but I’m sure this is correct.
Will someone be able to help me with this math problem, the picture is down below. Please help
The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;
Side A'B' will be parallel to side AB
Side A'C' will be parallel to side AC
Side BC will lie on the same line as side BC
What is a dilation transformation?A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.
The possible options, from a similar question on the internet are;
Be parallel to
Be perpendicular to
Lie on the same line as
The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;
PB' = 3 × PB
PA' = 3 × PA
PC' = 3 × PC
Therefore; The side B'C' will be on the same line as the side BC
The Thales theorem, also known as the triangle proportionality theorem indicates that;
The side A'C' will be parallel to the side AC
The side A'B', will be parallel to the side AB
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Tickets to a movie cost five dollars for adults and three dollars for students a group of friends purchase 18 tickets for $82 how many adult tickets did they buy
Answer: They purchased 14 adult tickets and 4 kids' tickets.
Step-by-step explanation:
14 x 5 = 70
3x4=12
and then add 70 plus 12 to get 82 dollars
Tom has 2 feet of wire. He uses of the wire to hang a picture. How much wire did he use to hang the picture?
A. 2 4/7 feet
B. 1 9/10
C. 1 7/10
D. 1 1/2
Answer:
D. 1 1/2 feet
Step-by-step explanation:
Multiply the numbers to find the length of wire used.
2 1/2 × 3/5 = 5/2 × 3/5 = 3/2 = 1 1/2 feetCorrect choice is D
7 divided by 7 to the power of 4
Answer: 1
Step-by-step explanation:
7/7
1
1*1*1*1
1
Answer: 1
Step-by-step explanation:
There are two ways to find the answer to this question.
The first way is to divide then raise to the power.
Given:
\(\displaystyle (\frac{7}{7} )^4\)
Divide:
\(\displaystyle (1)^4\)
Raise to the power of 4:
1 * 1 * 1 = 1
The second way is to raise both the numerator and denominator by the power, then divide.
Given:
\(\displaystyle (\frac{7}{7} )^4\)
Distribute the fourth power:
\(\displaystyle (\frac{2,401}{2,401} )\)
Divide:
1
Factorise fully
15x-10
Answer:
15
x
+
10
y
Factor
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15
x
.
5
(
3
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)
+
10
y
Factor
5
out of
10
y
.
5
(
3
x
)
+
5
(
2
y
)
Factor
5
out of
5
(
3
x
)
+
5
(
2
y
)
.
5
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3
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+
2
y
)
Step-by-step explanation:
Alexander is drawing a map of the Federal Triangle in Washington, D.C. The actual Federal Triangle has a base of 300030003000 feet and height of 120012001200 feet. Alexander needs his drawing to fit on his paper, so he decides to make the base of his triangle 101010 inches.
1. What scale is Alexander using?
2. What is the height of Alexander's triangle in inches?
Alexander is utilizing a scale of 1 inch : 300 feet for his map.
The Alexander's triangle has a height of 4 inches in inches.
How to determine the map's scaleWhen comparing the initial dimensions as used by alexander, the scale of the map may be determined.
The scale is 1 inch: 300 feet since he used 10 inches to symbolize 3000 feet, this is gotten by diving both sides by 10
Using the scale factor 1 inch: 300 feet, the height of 1200 feet would be.
300 feet per inch, then ? inch is 1200 feet
? * 300 = 1200 * 1
? = 1200 / 300
? = 4 inches
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A communication tower (the side CB) is located at the top (the point C) of a steep hill. The angle of inclination of the hill is 58 degrees. A guy wire is to be attached to the top (the point B) of the tower and to the ground (the point A), 104 m downhill from the base of the tower (the side AC). The angle ∠BAC
is 12 degrees.
Find the length of cable (the side AB) required for the guy wire. Your answer is _____m
Using the sine ratio with the angle of depression, the length of the wire is 122.63m
Angle of DepressionThe angle of depression is formed when the observer is higher than the object he/she is looking at. When an observer looks at an object that is situated at a distance lower than the observer, an angle is formed below the horizontal line drawn with the level of the eye of the observer and line joining object with the observer’s eye. Whereas the angle of elevation is the angle formed if a person stands on the ground and looks on the object kept above the ground at a height above the height of the person. This is the basic difference between the two angles. Both the angles are calculated by using the concept of trigonometry.
Using trigonometric ratio;
angle = 58 degreesOpposite = AB = 104mHypothenuse = AC = ?Using the sine angle ratio;
sin θ = opposite / hypothenuse
sin 58 = 104 / AC
AC = 104 / sin 58
AC = 122.63m
The length of the wire is 122.63m
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The probability that a passenger is chosen for customs inspection is 10 %. Emma and Michael go through customs. What is the probability that neither of them is chosen for inspection? The probability of one passenger being chosen is independent of that of other passengers.
a) 81 %
b) 90 %
c) 99 %
d) other
The probability that neither of them is chosen for inspection is given as follows:
a) 81 %
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The parameter values for this problem are given as follows:
n = 2, p = 0.1.
The probability of neither is P(X = 0), hence:
P(X = 0) = (1 - 0.1)² = 0.81.
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Can someone help me please it's only 2 questions!!!!!
Problem 1
Answer: -4 + 7Reason: We start at 0 and move 4 units left. This is represented by 0+(-4) or 0-4. That simplifies to -4. Then add on 7 to move 7 units to the right to arrive at 3 as the final destination.
=============================================
Problem 2
Answer: 8 + 3Reason: We start at 0 and move 8 units to the right. That is represented by +8 or simply 8. Then the +3 will move us 3 more units to the right to get to 11 on the number line. This is one visual way to see why 8+3 = 11.
Edwin graphs the relationship of the gallons of milk he buys in terms of dollars.
Sam buys milk from a different shop. He writes an equation for the amount he spends on milk, p = 3.4g, where p is the cost and g is the gallons of milk bought. Who buys milk at a lower rate, and what is the price?
A.
Sam buys milk at a lower rate, $3.50 per gallon.
B.
Edwin buys milk at a lower rate, $3.50 per gallon.
C.
Sam buys milk at a lower rate, $3.40 per gallon.
D.
Edwin buys milk at a lower rate, $3.40 per gallon.
An equation is formed of two equal expressions. The correct option is C.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation of the graph that Edwin graphs can be written as,
slope, m = (7-0)/(2-0) = 3.5
c = 0
The equation of the graph that Edwin graphs is p=3.5g.
The equation for the amount Sam spends on milk is given as p=3.4g.
Comparing the two equations the cost of milk per gallon for Edwin is $3.50, while the cost of milk per gallon for Sam is $3.40.
Hence, the correct option is C.
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PLEASE HELP ME I NEED HELP ON THIS
Answer:
If im right the correct answers should be A, B and F
Omaya picked as amount of apples, took a break, and then picked v more. Write the expression that models the total number of apples Omaya picked
The formula that describes how many apples Omaya picked in total is Y=x + v.
What does a linear equation mean in mathematics?
A linear equation is one that only has a constant and a first-order (linear) component, like y=mx+b, where m is the slope and b is the y-intercept.
Occasionally, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
The term "linear equation" refers to equations with power 1 variables. Where ax+b = 0 is one example with only one variable, where a and b are real numbers and x is the variable.
Let Total number of apples= Y
so,
Y=x + v
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Line M has the equation 3x+2y=7 Select the gradient of line M
Answer:
\(\huge\boxed{\sf m = -\frac{3}{2} }\)
Step-by-step explanation:
Given equation:
3x + 2y = 7
Solve for y
3x + 2y = 7
Subtract 3x to both sides
2y = -3x + 7
Divide both sides by 2
\(\displaystyle y = \frac{-3x+7}{2}\)
We can also write it as:
\(\displaystyle y = -\frac{3}{2} x + \frac{7}{2}\)
Comparing it to the standard form of slope-intercept equation:
y = mx + b (Where m is gradient and b is y-intercept)
So, we get:
\(\displaystyle m = -\frac{3}{2}\)
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807Can you find the surface area and volume pls? ITS WORTH 50 points
Answer:
Solution given:
r=4in
h=4in
surface area=2πr(r+h)=2π*4(4+4)=64π or201.06ft²
Volume=πr²h=π*4²*4=64π or 201.06ft³
PLEASE HELP!! THIS DUE IN 10 MINUTES
Answer:
C
Step-by-step explanation:
Area of a parallelogram:
BH x 1/2
In this case 7 and 6 are your base and the height is your half.
Answer:
I believe the answer is A: A = 6 * 7
Step-by-step explanation:
Ok, I may be wrong, but this is how I see the answer:
The formula for how to find the area of a parallelogram is A = b * h.
Base = 6 m
Height = 7 m
A = 6 * 7
help with this??? i beg of you☹️☹️
Answer:
The answer is 3 cm.
Step-by-step explanation:
To find the width of the cereal box, we must first take the volume and divide it by the length and then divide that by the height.
For this equation, we would do the following:
3456 ÷ 36 = 96 cm²
Now that we have divided volume by length, let's divide by height next:
96 ÷ 32 = 3 cm
Now we know the height of the box. To check if this is correct, lets multiply the length, height, and width and see if we get the volume that we started with.
3 × 32 × 36 = 3456 cm³
Since we got the original volume that we started with, we know that the width is 3 cm which is your answer.
mega mart sells a large 5kg cake for $2500 while a 2kg chocolate cake cost $1200 what is the cheapest price sam would payfor 10kg of cake for the party
The cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.
To find the cheapest price Sam would pay for 10kg of cake for the party, we need to compare the prices of the available cakes and determine the most cost-effective option.
At Mega Mart, a 5kg cake costs $2500.
Therefore, the price per kilogram for this cake is:
Price per kilogram at Mega Mart = $2500 / 5kg = $500/kg.
At the same time, a 2kg chocolate cake costs $1200.
So, the price per kilogram for this cake is:
Price per kilogram for the chocolate cake = $1200 / 2kg = $600/kg.
Now, let's calculate the total price for 10kg of cake from each option:
Total price at Mega Mart for 10kg = $500/kg \(\times\) 10kg = $5000.
Total price for 10kg of chocolate cake = $600/kg \(\times\) 10kg = $6000.
Comparing the two options, we see that the Mega Mart cake is the more cost-effective choice.
Sam would pay a total of $5000 for 10kg of cake from Mega Mart, whereas the chocolate cake would cost $6000 for the same quantity.
Therefore, the cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.
In summary, Sam would pay the cheapest price of $5000 to purchase 10kg of cake for the party from Mega Mart.
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Find the volume of the
triangular prism.
8 ft
6 ft
The volume of the triangular prism is ft³.
15 ft.
The volume of the triangular prism will be 400 cubic feet.
Given that:
Width, W = 15 feet
Height, h = 8 feet
Base length, b = 6²/₃ feet
Volume is a measurement of three-dimensional space that is utilized. The concept of length is linked to the notion of capacity.
The volume of the triangular prism is calculated as,
V = 1/2 · b · h · W
V = 0.5 · 6²/₃ · 8 · 15
V = 400 cubic feet
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How do you do this i cant remember i fell asleep in class
The cost of each sandwich, given the number that was sold and the profit made was $15.
How to find the cost ?Let S be the price of a sandwich and A be the price of a salad.
From the lunch sale, we know:
14 S + 14 A = $280
From the evening sale, we know:
42S + 154 A = $ 1400
Simplify the first equation by dividing through by 14:
S + A = $20
Solving this equation for S gives:
S = $20 - A
Substitute this equation into the second equation:
42 ( $20 - A ) + 154 A = $1400
$ 840 - 42 A + 154 A = $1400
112A = $560
A = $5
Substitute A = $5 into the first equation:
S + $5 = $20
S = $15
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a student spends 18 out of 35 of his pocket money on transport and fruit what is the fraction left?
To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.
The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.
Therefore, the fraction of pocket money left can be written as 17/35.
The sum of Molly and Bobby’s ages is 14. If Molly is 5 years older than twice Bobby’s age, how old is each child?
Answer:
Molly is 11 and Bobby is 3.
Step-by-step explanation:
Let Molly's age be m and Bobby's age be b.
\(m+b=14\)
Subtract b from both sides:
\(m=14-b\) (Equation 1)
\(m=5+2b\) (Equation 2)
\(14-b=5+2b\) (Both equations are equal to each other as they are equal to m)
Subtract 14 from both sides:
\(14-b-14=5+2b-14\)
\(-b=2b-9\)
Subtract 2b from both sides:
\(-3b=-9\)
Divide both sides by -3:
\(\frac{-3b}{-3}=\frac{-9}{-3}\)
\(b=3\)
Since \(m+b=14\), \(m=11\).
A farmer earns $___ for each orange she sells. She had to pay $___ for fertilizer. Part A: Rewrite the description by filling in the blanks with values of your choice to show the amount of money the farmer could earn selling any number of oranges, n. Make sure the values you choose make sense for this situation. (6 points) Part B: Write an algebraic expression from your written description used in Part A. Let n stand for the number of oranges. (6 points)
Explain your answer to the question in the picture with steps please, thank you.
Part (a)
Answer: Constant of proportionality = 5/8
Reason:
The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.
The direct proportion line must pass through the origin. In other words, the y intercept must be zero.
=====================================
Part (b)
Answer: Not Proportional
Reason:
The y intercept isn't zero.
Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.
Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $6. If you roll a 2, 3, 4 or 5, you win $2. Otherwise, you pay $7.
Answer:
what do you want to ask dear?
Step-by-step explanation:
ab-c/d has a value of 24. write the values if :-
1- a, b, c, d are all positive.
2- a, b, c, d are all negative.
3- a, b, c, d are mixed of negative and positive.
WRITE ANSWERS FOR 1, 2 AND 3
The values of ab, b - c, and c/d are 6, -1, and 4 respectively when a = 2, b = 3, c = 4 and d = 1.Using BODMAS rule, we can simplify the given expression.ab - c/d = 24
Given ab-c/d has a value of 24.Now, we have to find the value ofab, b - c, and c/d.Multiplying d on both sides, we getd(ab - c/d) = 24dab - c = 24d...(1)Now, we can find the value of ab, b - c, and c/d by substituting different values of a, b, c and d.Value of ab when a = 2, b = 3, c = 4 and d = 1ab = a * b = 2 * 3 = 6.
Value of b - c when a = 2, b = 3, c = 4 and d = 1b - c = 3 - 4 = -1Value of c/d when a = 2, b = 3, c = 4 and d = 1c/d = 4/1 = 4Putting these values in equation (1), we get6d - 4 = 24dSimplifying, we get-18d = -4d = 2/9
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the length of a rectangle is equal to the 4 in more than the width if the perimeter of a rectangle is 46 in what is the length
NEED ANSWER ASAP
Determine the value of x.
Question 8 options:
A)
2.2
B)
4.4
C)
2
D)
8.8
Answer:
The answer is: B) 4.4
Step-by-step explanation: