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8_murik_8 [283]
2 years ago
5

Find the area of the rhombus . Each indicated distance is half the length of its respective diagonal.

Mathematics
1 answer:
lukranit [14]2 years ago
7 0

Given:

The length of diagonals of a rhombus are 12 ft and 5 ft.

To find:

The area of the rhombus

Solution:

Area of a rhombus is:

Area=\dfrac{d_1d_2}{2}

Where, d_1,d_2 are two diagonals of the rhombus.

It is given that the length of diagonals of the rhombus are 12 ft and 5 ft.

Putting d_1=12,d_2=5, we get

Area=\dfrac{12\times 5}{2}

Area=\dfrac{60}{2}

Area=30

Therefore, the area of the rhombus is 30 square ft.

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Determine whether each scale factor produces an expansion or a contraction under a dilation of the original image
blondinia [14]

Answer:

see the explanation

Step-by-step explanation:

we know that

If the absolute value of the scale factor is less than 1, then the dilation produces a contraction of the original image

If the absolute value of the scale factor is greater than 1, then the dilation produces an expansion of the original image

so

<u><em>Verify each value</em></u>

1) -4

\left|-4\right|=4

4> 1

therefore

The dilation produces an expansion of the original image

2) 0.25

\left|0.25\right|=0.25

0.25 < 1

therefore

The dilation produces a contraction of the original image

3) -2/3

\left|-2/3\right|=2/3

2/3 < 1

therefore

The dilation produces a contraction of the original image

4) 2.3

\left|2.3\right|=2.3

2.3 > 1

therefore

The dilation produces an expansion of the original image

4 0
2 years ago
City x has a population of 3x10 to the fifth power. City y has a population of 6x10 to the sixth power. Which statement correctl
SVEN [57.7K]

Answer:

c

Step-by-step explanation:

because it is 3x10 to the 5th power there woould be 5 zeros

5 0
3 years ago
17.A company produces three sizes of a dog
Aleksandr [31]

Answer:

10s+40m+61l=net profit

Step-by-step explanation:

subtract the value you pay from the value you charge

7 0
2 years ago
Maddie's monthly take home pay is $3,500. She is making monthly payments of $250 for a student loan and $218 for a credit card.
iren2701 [21]

Answer:

C. $482

Step-by-step explanation:

4 0
3 years ago
From the top of the Eiffel Tower, a jogger is spotted heading toward the tower. When at position A, the angle of depression of t
8090 [49]

325 meters if using full height of 324 meters for tower 
277 meters if using observation platform height of 276 meters.  
When the depression is 37 degrees, you can create a right triangle with the angles 90, 37, and 53 degrees. The distance from a point directly underneath the observer will be:
 h/tan(37)
 where
 h = height of the observer.
 
 And when the depression is 72 degrees, the distance will be:
 h/tan(72) 
 So the distance between the two points will be the absolute value of:
 h/tan(72) - h/tan(37)
 =(tan(37)h)/tan(37)tan(72) - tan(72)h/(tan(37)tan(72))
 =(tan(37)h - tan(72)h) /(tan(37)tan(72))
 =h(0.75355405 - 3.077683537)/(0.75355405 * 3.077683537)
 =h(0.75355405 - 3.077683537)/(0.75355405 * 3.077683537)
 =h(-2.324129487/2.319200894)
 =h*-1.002125125
 
 And since we're looking for absolute value
 =h*1.002125125
 
 As for the value of "h" to use, that's unspecified in the problem. If you take h
to be the height of the Eiffel Tower, then it's 324 meters. If you take h to be
the highest observation platform on the Eiffel Tower, then it's 276 meters. In
any case, simply multiply h by the value calculated above:
 =h*1.002125125
 =324*1.002125125
 = 324.6885406 m
 
 =h*1.002125125
 =276*1.002125125
 =276.5865346

6 0
3 years ago
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