The wheel will travel 131.8cm in 3 rotations.
The radius of the wheel, r = 7cm
Number of rotations, n= 3
distance covered in 1 rotation= circumference of circle=2πr
distance covered in 3 rotation= 2πr x 3
where π=3.14(fixed)
=2 x 3.14 x 7 x 3
Distance=131.88cm
Therefore, the distance covered in 3 rotations is 131.88cm
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Answer:
132cm
Step-by-step explanation:
use formula 22/7 *diameter which is 7*2 getting the answer as 44.For three rotations multiply the answer by three
On Friday, Tyler came up with the expression t= -0.5(1-2h) to represent the temperature change. His math teacher came up with the expression t= 4(2h+2) - 7h - 8.5 for the same day. Are these expressions equivalent or not?
Answer:
no
Step-by-step explanation:
What is the surface area of the square pyramid?
Answer:
16m^2
Step-by-step explanation:
SA = 2bs + b^2
= 2(2m)(3m) + (2m)^2
= 16m^2
Express each number as a product of two numbers 1/5
The fraction expression as a product expression is 1/2 * 2/5
How to express the mathematical expression as a product expressionFrom the question, we have the following parameters that can be used in our computation:
A mathematical expression
The mathematical expression is given as
1/5
In this case, the expression is a fraction
Using the above as a guide, we have the following:
Fraction = 1/5
Multiply the fraction by 1
So, we have the following representation
Fraction = 1/5 * 1
Express 1 as 2/2
This gives
Fraction = 1/5 * 2/2
Swap the factors of the expression
This gives
Fraction = 1/2 * 2/5
Hence, the product expression is 1/2 * 2/5
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hey! please help i’ll give brainliest
Answer:
all of these option 4 is correct
Answer:
The answer is the ( are )
Step-by-step explanation:
PLEASE HELP!!
Which parent function is represented by the table?
A. f(x) = 2x
B. f(x) = 1x1
c. f(x) = x
D. f(x) = x2
Option C is correct, the parent function represented by the table is f(x) = x.
What is a function?A relation is a function if it has only One y-value for each x-value.
Looking at the table, we can see that when x is negative, the values of y are negative and increase as x approaches zero.
When x is positive, the values of y are positive and increase as x increases.
Moreover, the values of y increase faster than x.
This behavior is typical of the parent function f(x) = x.
Hence, the parent function represented by the table is f(x) = x.
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What should be added to the product of X and 2 to get x * 1 point?
To get x * 1 point, the product of X and 2 should have x added to it.
let us assume unknown value = y
2x+y=x
y=x-2x
y=-x
so if we add "-x" in the product of x and 2 we get x
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
These expressions are represented with the help of unknown variables, constants and coefficients. The combination of these three (as terms) is said to be an expression. It is to be noted that, unlike the algebraic equation, an algebraic expression has no sides or equal to sign.
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Given that one standard deviation below the mean is 24 and one standard deviation above the mean is 31, what is the mean l?
A)55
B)34
C)27.5
D)28
Answer:
C. 27.5
Step-by-step explanation:
since 24 and 31 are one standard deviation below or above the mean, we could subtract the two values and divide them by two to help find the mean.
we would first subtract the two values
31-24 = 7we would then divide that number by 2 since we are finding the average between the two numbers
7/2 = 3.5using the 3.5, you add it to the lower value (24) and subtract it from the higher value (31)
24+3.5 = 27.531-3.5 = 27.5since both calculated numbers were equal, we know that we calculated the mean correctly.
Estimate 16.82-8.264 by first rounding each number to the nearest tenth.
pls help i need the right answer!
what is the common difference for this arithmetic sequence? -6, -2, 2, 6, 10, …
Answer:
The common difference is 4.
Step-by-step explanation:
What is the greatest two-digit multiple of 13
Answer:
Step-by-step explanation:
91
As you can see 91 is the largest 2 digit multiple of 13 as the next multiple is 104 which is a 3 digit number.
A tower that is 103 feet tall casts a shadow 117 feet long. Find the angle of elevation of the sun to the
nearest degree
Answer:
[tex]\theta=61.68^{\circ}[/tex]
Step-by-step explanation:
Given that,
The height of a tower, h = 103 feet
The height of its shadow, H = 117 feet
The height of tower is perpendicular and the height of shadow is hypotenuse of a right angled triangle. We can use trigonometry such that,
[tex]\sin\theta=\dfrac{h}{H}\\\\\theta=\sin^{-1}(\dfrac{103}{117})\\\\\theta=61.68^{\circ}[/tex]
So, the angle of elevation of the sun is equal to [tex]61.68^{\circ}[/tex].
Petey’s Shirt Company can make 240 T-shirts in a day. After buying new machines, the company is able to make 456 T-shirts in a day. By what percent did the production increase?
A.9%
B.47%
C.53%
D.90%
Answer:
90%
Step-by-step explanation:
You convert 456/240 into a percentage and get 190%, then taking out the extra 100%
Answer:
Step-by-step explanation: The answer is 47% because if you divide 240 and 456 you get 98 and if you minus 98 by 51 you get 47.
You have a 5 inch by 7 inch picture that you framed. When you hung the picture, you found that the entire area is 69.56 inches squared. What is the width of the frame?
The width of the frame is 2.4 inches
How to determine the width of the frame?
Let w represent the width of the frame
Then the area of the frame is:
(w + 5)(w + 7) = 69.56
Rewrite it in Standard form of a quadratic equation:
w² + 12w + 35 = 69.56
w² + 12w - 34.56 = 0
Use Quadratic Formula to solve for w:
w = (-b±√(b²-4ac))/(2a)
w = (-12±√(12²-4×1×(- 34.56)))/(2×1)
w = (-12±√(144+138.24))/(2)
w = (-12±16.8)/2
w = -6 ± 8.4
w = -6 + 8.4 or -6-8.4
w = 2.4 or w = -14.4
Since the width cannot be negative.
Thus, w = 2.4 inches
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You have $5$ red shirts, $5$ green shirts, $6$ pairs of pants, $8$ green hats and $8$ red hats, all of which are distinct. How many outfits can you make consisting of one shirt, one pair of pants, and one hat without having the same color of shirts and hats
Total = 240+240 = 480 potential combinations with a red shirt, green pants, and a green hat, or a green shirt, red pants, and a red hat, respectively.
How many outfit combinations can be put together from 6 shirts?The total number of possible outcomes for all four of these scenarios is 208, which is equivalent to 64 + 64 plus 16 plus 64. Consequently, we have a total of 120 different costumes to choose from (8 + 5 + 3). 8 × 5 × 3 = 120 . Given that you have 4 options for shirts, 3 options for shorts, and 2 options for shoes, the formula should be formatted as 4 × 3 ×2. You now have 24 wardrobe choices.
A "set" is made up of one top and one bottom. Since every bottom can be worn with every top, multiplying the tops by the bottoms gives us the total number of possible outfit combinations. Since dresses often aren't worn with tops or bottoms, they are introduced after the multiplication has occurred.
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⚠️ Help I don’t understand this one and it’s my last one !! ⚠️
Answer:
x=4
Step-by-step explanation:
no because x=4 and you can't have multiple answerd
. Marissa is painting one of her bedroom walls. She marks off of the wall. Then she divides the marked section into 3 equal parts and paints one part blue. What fraction of the whole wall is blue?
Answer: Marissa divided the marked section of the wall into 3 equal parts. If she painted one of these parts blue, then the part that she painted blue is 1 out of the 3 equal parts. So, the fraction of the wall that is blue is 1/3.
Another way of understanding this is that if the wall is divided into 3 equal parts and Marissa painted 1 part, then the fraction of the wall that is painted is 1/3.
So the fraction of the whole wall that is blue is 1/3.
Step-by-step explanation:
find the measure of angle 1
For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.
Use the image below for Part A, Part B, and Part C.
Two triangles: GHI and JKL
Both have one similar angle but different side lengths
Part A: Sharon says the triangles above are similar using the AA Postulate. Is she correct?
Part B: Explain the answer from Part A.
Part C: If HI=7, find KL. Show your work.
Please Help!
The triangle given is similar to using SAS. Sharon is wrong and the value of KL is 14.
What are the triangle similarity criteria?there are three types of triangle similarity criteria known. those are
AA: Two pairs of corresponding angles are equal.SSS: Three pairs of corresponding sides are proportional.SAS.: Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.Given, two Triangle ΔGHI and ΔKLJ. Also, we can see in the figure That ratio of there two known sides is equal and they both have a similar angle.
the ratio of two sides of given triangles
4/8 and 5/10
hence, the ratio of both the side is equal that is 1/2
from the SAS theorem:
Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.
thus, given triangles are similar.
Since the Ratio of all three sides would be equal.
hence, HI / KL = 1/2
the third side of the triangle JKL, KL is 14.
Therefore, The given triangle is comparable to using SAS. Sharon is mistaken; The value of KL is 14.
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Image Attached, Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic. Will give Brainliest
Answer:
169
Step-by-step explanation:
You should know that the middle number with the x is double the original number not in expanded form. You should also know that in the expanded form, the last number is the square of the original number. So square(26/2) = 169.
Answer:
r^2 + 26r = (r + 13)^2 - 169
Step-by-step explanation:
r^2 + 26r + (26/2)^2 - (26/2)^2, or
r^2 + 26r + 13^2 - 13^2, or
(r^2 + 26r + 169) - 169
So r^2 + 26r = (r + 13)^2 - 169
Note: the coefficient of r is 26. We take half of that, obtaining 13, and then square the result: 13.
write an equivalent expression for 3m + 9m
Answer:
3(m+3m)
Step-by-step explanation:
If 120% of a number is 24, what is the number?
If 120% of a number is 24, then the number is 5.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We need to find the number whose 120% of a number is 24.
Let the number be considered as x
120% is converted to decimal by dividing 120 with 100
120/100=1.2
Now multiply 1.2 by x which is equal to 24
1.2x=24
Divide both sides by 1.2
x=0.05
Now multiply it with 100 as it is a hundredth part
0.05×100=5
Hence, If 120% of a number is 24, then the number is 5.
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solve for x
find AC
this is the last question I'm posting
Answer:
x = 15, AC = 25
Step-by-step explanation:
Given a tangent and a secant from a external point to a circle, then
The product of the external part and the whole of the secant is equal to the square of the tangent.
(9)
12(12 + x) = 18² = 324 ( divide both sides by 12 )
12 + x = 27 ( subtract 12 from both sides )
x = 15
(10)
9(9 + 3x + 1) = 15²
9(3x + 10) = 225 ( divide both sides by 9 )
3x + 10 = 25 ( subtract 10 from both sides )
3x = 15 ( divide both sides by 3 )
x = 5
Then
AC = 3x + 10 = 3(5) + 10 = 15 + 10 = 25
Base your answers to the following questions on the food web below and on your knowledge of biology. Which organisms are carnivores? A. grass and trees B. mouse, rabbit, and cricket C. deer and mountain lion D. frog, snake, and hawk
Answer:
D
Step-by-step explanation:
solve: Tan20. Tan 40. Tan 80
plaease help me.....
Answer: you need more information to solve
Step-by-step explanation:
mZAOB = 6x- 12°
mZBOC = 3x+ 30°
Find mZAOB:
Answer:
6x+3x×12-30
9x×do 30-12
then multiple it and there is the ans
The difference between the two groups compared will have more significance as the p-value becomes __________. The difference between the two groups compared will have more significance as the t-value becomes __________.
The significance of the difference between the two groups under comparison will increase as the p-value decreases. The significance of the difference between the two groups under comparison will increase as the t-value rises.
If there is a significant difference between two groups, what does that mean?A difference that is "statistically significant" does not necessarily have to be "large, important, or significant in terms of the utility of the finding"; it simply means that there is statistical evidence that there is a difference.
When the p-value exceeds the significance level, what does that mean?In general, when the null hypothesis H0 is true, our sample results could have happened by random chance alone when the p-value is "high" (i.e. greater than or equal to the significance level).
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Steve ran a 12-mile race at an average speed of 8miles per hour. If Adam ran the same race at an average speed of 6 miles per hour, how many minutes longer did Adam take to complete the race than did Steve?
Shade the points in the plane whose x-coordinates are greater than their y-coordinates. Write the inequality that describes these points.
The inequality that describes these points is y ≤ -1/2(x) -3. The graph is given the attachment.
How to graph an inequality?To graph a linear inequality in two variables (say, x and y), start with y on one side. Consider the related equation obtained by changing the inequality sign to an equality sign. This equation's graph is a straight line.
If the inequality is strict (< or >), draw a dashed line. If the inequality is not strict (≤ or ≥), draw a solid line.
Finally, choose one point that is not on either line ((0,0) is usually the easiest) and determine whether these coordinates satisfy the inequality or not. If they do, shade the half-plane containing that point. If they don't, shade the other half-plane.
Graph each of the system's inequalities in a similar way.
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Is this table linear, exponential, or other type of a function?
someone please help asap. i will give you brainliest
Answer:
It is exponential
Step-by-step explanation:
?
The diameter of a circle is two times its radius. Which equation shows
another way to represent the area of a circle?
πd2
A=
2
O πd2
A=
4
Ο Α = 2πd?
O A=47d2
Answer:
[tex]A=\pi \frac{d^2}{4}[/tex]
Step-by-step explanation:
The typical equation for the area of a circle is [tex]A=\pi r^2[/tex]. Since the answer choices are in terms of d, the diameter of the circle, you will need to find r in terms of d.
To find r in terms of d, you know that the diameter of a circle is two times its radius. As an equation, this is
[tex]d=2r[/tex], or solving for r,
[tex]r = \frac{d}{2}[/tex].
Now that you have an equation for r in terms of d, you can substitute r with [tex]\frac{d}{2}[/tex] from the original equation.
[tex]A=\pi r^2[/tex]
[tex]A=\pi (\frac{d}{2})^2[/tex]
[tex]A=\pi \frac{d^2}{4}[/tex]