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2 years ago

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Mathematics

1 answer:

Sergio [31]2 years ago

6 0

Answer:

(m−5)(2m−2)

=(m+−5)(2m+−2)

=(m)(2m)+(m)(−2)+(−5)(2m)+(−5)(−2)

=2m2−2m−10m+10

=2m2−12m+10

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The angle of the elevation from the top of a 95 Todd building into a hot air balloon in the sky and 76° if the horizontal distan

AnnZ [28]

Answer:

The height of the hot air balloon is 1514.54 feet approximately.

Step-by-step explanation:

Consider the provided information.

The angle of elevation from the top of a 95-foot tall building to a hot air balloon in the sky is 76. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon

The figure is shown below:

Let the height of the balloon is AD, the height of the building is BC.

Draw a line BE parallel to CD.

Therefore, AD=x+95, BC=95 and BE=CD=354 ft

Now in triangle $ABE$ .

$\tan\theta=\dfrac{\text{Opp}}{\text{Adj}}$

$\tan76^{\circ}=\dfrac{AE}{BE}$

$AE\approx 4.01\times 354$

$AE\approx 1419.54$

The height air balloon is 1419.54+95 =1514.54 ft

Hence, the height of the hot air balloon is 1514.54 feet approximately.

7 0

2 years ago

Write an algebraic expression to represent the area of the shaded region.

tamaranim1 [39]

Answer:

4y^{2}+3y

Step-by-step explanation:

First you need to distribute the values.

(4y+3)(2y) Using the "Rainbow Method" to multiply the polynomials

You Should get

8y^{2}+6y

Since this is the area of the rectangle and we need to find the area of the shaded region you need to dived 8y^{2}+6y in half because the shaded region is half of the rectangle.

8y^{2}+6y/2

Doing this you will get

4y^{2}+3y

7 0

3 years ago

Which expression is equivalent to the expression below. 3x+5(x-2).

worty [1.4K]

It would be B) 8x-10. You distribute the 5 to the (x-2) to get 5x-10 and then simplify the expression.

4 0

2 years ago

Read 2 more answers

If 1/10m = 1/11m + 1/1100, what is the value of m?

valentinak56 [21]

$\frac{1}{10m} = \frac{1}{11m} + \frac{1}{1100} 
$
$\frac{1}{10m} = \frac{1*1100 + 1*11m}{11m*1100}$
$\frac{1}{10m} = \frac{1100 + 11m}{12100m}$
$1*12100m = 10m(1100 + 11m)$
$12100m = 11000m + 110 m^{2}$
$12100m-11000m = 110 m^{2}$
$1100m = 110 m^{2}$
m=10

3 0

3 years ago

Read 2 more answers

A bird is flying at a constant rate.

Mila [183]

Answer:

the answer is The bird started at a height of 15 meters and is ascending at 8 meters per minute.

Step-by-step explanation:

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2 years ago

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