The black trapezoid is a dilation of the green trapezoid. What is the scale factor of the dilation?

A) 1/5
B) 1/3
C) 3
D) 5

Option (A) 1 foot by 2 feet and option (C)  2 feet by 1 foot satisfy the perimeter given. Thus options A and C are correct.

"A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles".

For the above situation,

The length of the rectangle be 'l'

The breadth of the rectangle be 'b'

Perimeter of the rectangle, P = 2(l+b)

Option A : 1 foot by 2 feet

Here, l = 1 feet and b = 2 feet

⇒ [tex]P=2(l+b)[/tex]

⇒ [tex]P=2(1+2)\\[/tex]

⇒ [tex]P=6[/tex]

This perimeter is equal to the perimeter of the rectangle. Thus option A is correct.

Option B : 1 foot by 5 feet

Here, l = 1 and b = 5 feet

⇒ [tex]P=2(1+5)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option B is not correct.

Option C :  2 feet by 1 foot

Here, l = 2 and b = 1 feet

⇒ [tex]P=2(2+1)[/tex]

⇒ [tex]P=6[/tex]

This perimeter is equal to the perimeter of the rectangle. Thus option C is correct.

Option D : 2 feet by 4 foot

Here, l = 2 and b = 4 feet

⇒ [tex]P=2(2+4)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option D is not correct.

Option E :  3 feet by 3 feet

Here, l = 3 and b = 3 feet

⇒ [tex]P=2(3+3)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option E is not correct.

Option F : 4 feet by 2 feet

Here, l = 4 and b = 2 feet

⇒ [tex]P=2(4+2)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option F is not correct.

Option G : 5 feet by 1 foot

Here, l = 5 and b = 1 feet

⇒ [tex]P=2(5+1)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option G is not correct.

Hence we can conclude that option (A) 1 foot by 2 feet and option (C)  2 feet by 1 foot satisfies the perimeter given. Thus options A and C are correct.

Learn more about the rectangle here

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Answer:

49 - 9π

Step-by-step explanation:

Area of white portion = area of triangle - area of circle

To find the area of the triangle:

The area of a triangle can be calculated using this formula

[tex]A=\frac{bh}{2}[/tex] where b = base length and h = height

The height given is 7m and the base length given is 14m

That being said we plug in the given values into the formula

[tex]\frac{14*7}{2} \\14*7=98\\\frac{98}{2} =49[/tex]

Hence, the area of the triangle is 49 sq meters.

To find the area of circle

( note that the area is in terms of pi; shown by the answer choices. )

Formula for area of a circle = [tex]A=\pi r^2[/tex]

We are given the diameter  ( 6m )

However, we need the radius

To convert diameter to radius we divide by 2

6/2 = 3 so the radius = 3m

Now we plug in 3 into the formula

[tex]A=\pi 3^2\\3^2=9\\A=9\pi[/tex]

Remember we do not apply pi because the answer should be in terms of pi.

Now we subtract the two

Area of white portion = 49 - 9π

Hence, the answer is A

Answer:

49 - 9π

Step-by-step explanation:

Hope this helps

Answer:

X=4, y=5

Step-by-step explanation:

5x + 4y =40 equation 1

6x + 4y =44 equation 2

-1(5x + 4y)=-1(40) multiply equation 1 by -1 so equation will eliminate y

-5x - 4y=-40 modif equation 1

6x + 4y= 44  equation 2

         x=4.     Add above 2 equations

solve for y:

5x + 4y =40

5(4)+4y=40

20+4y =40

4y=20

y=5

check solution ;

6x+4y=44

6(4) + 4(5)=44

24 + 20=44

44=44

The image of the hexagon is missing, so i have attached it.

Answer:

∠1 = 36°

Step-by-step explanation:

From the image attached, we can see that the polygon is regular and has 10 sides.

Formula for an interior angle of a regular polygon is;

θ = 180(n - 2)/n

Where n is the number of sides of the polygon.

Thus;

θ = 180(10 - 2)/10

θ = 144°

Now, ∠1 forms a straight line with one of the interior angles of the polygon.

Thus, θ + ∠1 will be equal to 180° because sum of angle on a straight line is 180°

Thus;

144° + ∠1 = 180°

∠1 = 180° - 144°

∠1 = 36°

I think the right question, should be like this,

= 2x² + 13x + 9/x + 7

So, the quotient is 2x - 1 and the remainder is 16, you can find answer there in attachment.

---------------------------------------

P.S- Sorry for messing writing.

Answer: Most views  mayber black panther

Step-by-step explanation:

Answer:

the z-score is within 3

Step-by-step explanation:

first you got to take the standard deviation and add it to the mean since 375 is greater than 250. so the equastion would be

250+50=300+50=350+50=40

so the z-score for the value of 375 is within 3      

Answer: 2

Step-by-step explanation:

z=\frac{x-\mu}{\sigma}

z=

σ

x−μ

​

z-score formula

z=\frac{300-250}{25}

z=

25

300−250

​

Plug in values

z=\frac{50}{25}

z=

25

50

​

Subtract

z=2

z=2

Divide

\text{They scored 2 standard deviations above the mean.}

They scored 2 standard deviations above the mean.

Answer:

11502

Step-by-step explanation:

Given:

Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4).

To find:

The y-coordinate of the midpoint of line segment YZ.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

The endpoints of the line segment YZ are Y(-3,-6) and Z(7,4). So, the midpoint of YZ is:

[tex]Midpoint=\left(\dfrac{-3+7}{2},\dfrac{-6+4}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{4}{2},\dfrac{-2}{2}\right)[/tex]

[tex]Midpoint=\left(2,-1\right)[/tex]

Therefore, the y-coordinate of the midpoint of line segment YZ is -1.

Answer:

The measure of the angle is 120 degrees

Step-by-step explanation:

Here, we want to find the measure of the angle

Mathematically, the sum of angles at a point ( the center of the circle in this case) is equal to 360 degrees

We have the measures 150 degrees and 90 degrees; by adding this two and subtracting from 360, we will have the measure of the the marked angle

Thus, we have this as;

360 - (150 + 90)

= 360-240

= 120

Answer:

  -63a+14a+56-3a

= -52a+56

Here we need to use algebraic properties to simplify an expression, we will get:

[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a = -52\cdot a + 56[/tex]

The mathematical property we need to use is the distributive property.

[tex]A\cdot (B + C) = A\cdot B + A \cdot C[/tex]

So we start with the expression:

[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a[/tex]

First, we use the distributive property in the first term so we get:

[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a \\\\= 7\cdot (-9)\cdot a + 7\cdot 2 \cdot a + 7 \cdot8 - 3\cdot a\\\\= -63 \cdot a + 14\cdot a + 56 - 3\cdot a[/tex]

Now we use the distributive property in the other way, we take "a" as a common factor:

[tex]-63 \cdot a + 14\cdot a + 56 - 3\cdot a\\\\= (-63 + 14 - 3)\cdot a + 56\\\\= -52\cdot a + 56[/tex]

Here we got the simplified expression.

If you want to learn more, you can read:

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Answer:

are not  

Step-by-step explanation:

it is clear I can explain in the comment section ... because I don not want you to lose time

ahaha good one

Step-by-step explanation:

...........

Answer: Experiment with 100 players sprinting

Step-by-step explanation:

When it comes to experiments using samples to find out the effect of a variable on an entire population by finding out the representative effect on the sample, the larger the size of the sample, the better.

A larger sample comes closer to being the actual size of the population so when this larger sample is experimented upon, the results it gives will be closer to the results that would be gotten if we experimented on the entire population. The 100 player sprinting experiment would therefore come closer to matching its theoretical probability.

Answer:

a) 0.3.

b) 1.117287138  to  9 dec. places.

d)3.

Step-by-step explanation:

a and d: the powers 1/3 and 0.333... is  the cube root.

c: 0.5 = the square root.

b is found using a calculator

Answer:

Hello I am here to help!!

Step-by-step explanation:

The answer is 47

It's written as 47! <3

Answer:I also think answer is 3

Step-by-step explanation:

Answer:

327

Step-by-step explanation:

552-225

Answer:

If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.

Step-by-step explanation:

Answer:

Down below is the answer.

Step-by-step explanation:

So, lets remember that the pythagreon theorm is only useable in right traingles.

The formula for the pythagreons theorm is A^2+B^2=C^2

So basically, if this is not a right triangle, the two sides(4ft^2 and 3ft^2) will be equivelent to 5ft^2.

Lets solve the pythagroens theorm and plug in our values:

4^2+3^2=5^2

Now lets use the square roots:

16+9=25

COmbine the two numbers:

25=25

This is correct!

So yes, this is a right triangle.

HOpe this helps! :)

Answer:

88

Step-by-step explanation:

43 + 49= 92.

Then 180 - 92= 88

C= 88

Answer:

3670

Step-by-step explanation:

In 1000, there are 3 zeroes

So when multiplying by 3.67(or 3.670), you just move the decimal 3 places to the right

3.670 =36.70 = 367.0 = 3670.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

.....Your answer is D

...

.

Step-by-step explanation:

It is Graph B. We can do this by checking the points. The equation given is d = 5t^2, where d technically is the y-coordinate and t is the x-coordinate. On Graph B, two obvious points are (1, 5) and (2, 20). We can check these points to see if they fit the equation.

(1,5): d = 5t^2

5 = 5(1)^2

5 = 5*1

5 = 5, so this point is correct.

(2, 20): = d = 5t^2

20 = 5(2)^2

20 = 5*4

20 = 20, so this point is correct.

We know that Graph A is incorrect because it doesn't follow the equation. The line goes through (1, 5), which we already know is correct, (2, 10), (3, 15), and (4, 20). We already figured out that (2, 20) is correct so (2,10) can't be correct. (3, 15) and (4, 20) are also incorrect but in this case, we only need to find one incorrect coordinate to validate our answer. Thus, as Graph A is wrong, Graph B is right.

Answer:

92.736

Step-by-step explanation:

A = L* W

A = 4.8 * 19.32

A = 92.736

Answer:

60.57

Step-by-step explanation:

The angle L can be found using the inverse sine function.

L=arcsin(opp/hyp )

L=arcsin(2.7/3.1)

L =60.57129282

Answer:

b² =  13.2

Step-by-step explanation:

5.8²+b²=14.4²

33.64+b²=207.36

-33.64       -33.65

b²= √173.71

b² = 13.1799089526

b² =  13.2