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guapka [62]
2 years ago
11

A traffic helicopter descends 153 meters to be 445 meters above the ground, as illustrated in the

Mathematics
1 answer:
sertanlavr [38]2 years ago
6 0

Answer:

598 meters

Step-by-step explanation:

In the problem, the word 'decend' means to decrease in elevation.

<u>Our equation:</u>

<u>? - 153 = 445</u>

<u>Add</u><u> </u><u>153</u><u> </u><u>to</u><u> </u><u>both</u><u> </u><u>sides</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>equation</u><u>:</u>

?= 598

598 meters represents the original height of the helicopter.

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Amy gets a new kennel for her dog. A sketch of the kennel is shown here. If the roof is in the shape of a triangular prism (bott
SpyIntel [72]

Answer:

<em>Surface area of the roof of the kennel, including the bottom face is 58.96 ft^2</em>

<em></em>

Step-by-step explanation:

The image is attached below

For the triangular sides of the roof, area is

A = \frac{1}{2}bh

where b is the base = 4 ft

h is the vertical height = 2.24 ft

A =  \frac{1}{2}*4*2.24 = 4.48 ft^2

for the two faces we have 2 x 4.48 ft^2 = <em>8.96 ft^2</em>

For the rectangular sections of the roof, area is

A = lh

where l is the length of the rectangle = 5 ft

h is the height of the rectangle = 3 ft

A = 5 x 3 = 15 ft^2

For the two rectangular faces, we have 2 x 15 ft^2 = <em>30 ft^2</em>

<em></em>

For the bottom face, area is

A = lw

where l is the length of the house = 5 ft

w is the width of the house = 4 ft

A = 5 x 4 = <em>20 ft^2</em>

<em></em>

Surface area of the roof of the dog kennel is

<em>8.96 ft^2 + 30 ft^2 + 20 ft^2 = 58.96 ft^2</em>

4 0
2 years ago
Estimate the volume of the prism 6.8 ft 0.0 ft 0.6 ft
Degger [83]

Answer: If rounded it would be 13 (together not rounded).... If not its would be 12(not rounded)

Step-by-step explanation:     6.8 is about to 7,.... and 0.0 is just 0..... and 0.6 is close to 0.5 all together would be 13 but if we round it would be 12

6 0
3 years ago
What is an equation of the line that is perpendicular to y=−23x+5 and passes through the point (2, 11) ?
hichkok12 [17]

Answer:

The equation would be y = 1/23x - 251/23

Step-by-step explanation:

To start, you need to locate the slope of the first equation. Since the slope is the coefficient of x, we know it to be -23. Now, the perpendicular slope is the opposite and reciprocal of that, which makes the new slope 1/23.

Now that we have this, we can use the point and the slope in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 11 = 1/23(x - 2)

y - 11 = 1/23x - 2/23

y = 1/23x - 251/23

5 0
3 years ago
Read 2 more answers
Please answer! Thanks
GenaCL600 [577]
1) y = 1x + 95.50
x = number of bandanas

2) y = (1 • 50) + 95.50
$145.50 for 50 bandannas

3) 116.50 = 1x + 95.50
get x by itself

116.50 = 1x+ 95.50
-95.50 -95.50

21 = 1x
divide by 1
21 = x
you get 21 bandannas when you pay $116.50
7 0
2 years ago
Read 2 more answers
Explain why 3(5x) does not equal to (3 times 5)(3times x)
Anit [1.1K]

Answer:

Because 3(5x) is the same as 3 *5 * x

Step-by-step explanation:

When a number is next to another in parantheses, it signifies multiplication. In this case, we already have 5 and x grouped together by a multiplication sign, so the entire thing is 5 * x. The statement below is key

Distribution in multiplication is only possible if a variable is grouped to another real number by a plus or minus sign.

So in this case, we have 3 * 5 * x, which is 15x. However, if we had 3(5 + x), we would have 15 (3 * 5) + 3x (3 * x).

Hopefully that makes sense!

7 0
3 years ago
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