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nevsk [136]
3 years ago
8

A hot air balloon went from an elevation of 6,039 feet to an elevation of 3,288 feet in 42 minutes. What was its rate of descent

?
Mathematics
1 answer:
Vikki [24]3 years ago
8 0

Answer:

65.5 feet per second

Step-by-step explanation:

In order to calculate the rate of descent we first need to find the difference in heigh that the hot air balloon descended. We do this by subtracting the initial height from the end height like so...

6,039 - 3,288 = 2,751 ft

Now that we have the difference in height we need to divide this by 42 since that is the amount of time it took for this descent to occur.

2,751 ft / 42s = 65.5 ft/s

Finally we can see that the rate of descent was 65.5 feet per second

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zhannawk [14.2K]

Answer:

1. A = 40 units²

2. A = 72 units²

3. B) 45

Step-by-step explanation:

1.  This shape comprises 4 congruent triangles with base of 5 units and height of 5 units.

Area of a triangle = 1/2 x base x height

Therefore, area of polygon = 4(1/2 x 5 x 4)

                                             = 40 units²

2.  This shape comprises two pairs of congruent triangles.

Area of a triangle = 1/2 x base x height

Therefore, area of polygon = 2(1/2 x 2 x 6) + 2(1/2 x 10 x 6)

                                             = 72 units²

3.  Count the number of shaded squares:

9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 units²

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2 years ago
Mrs. Garcia’s students were asked to find 220% of 75. Each of the students had a different method.
ludmilkaskok [199]

Answer:

Colton.

Step-by-step explanation:

Amy: 220% is basically \frac{220}{100} which in decimal form, is 2.20.

Braden: 100% + 100% + 20% = 220%, so it is accurate.

Colton: 100%  + 10% + 10% = 120%, not 220%.

Dainielle: 100% of 75 is 75. Dividing the 100% of 75 by 5 makes a 20%. Adding 100% of 75 twice makes 200%. 200% + 20% = 220%, so it is accurate.

4 0
3 years ago
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Can someone help me with this problem?
Veseljchak [2.6K]

Answer:

yes

Step-by-step explanation:

4:8 and 3:6 when simplified gives the same result which is 1:2

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2 years ago
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Let ∠X and ∠Y be complementary. If sin(X) =
Lena [83]
<h3>Answer:</h3>

sin(Y) = 4/5

<h3>Step-by-step explanation:</h3>

The sine of one of a pair of complementary angles is equal to the cosine of the other. Given that ∠X and ∠Y are complementary, sin(Y) = cos(X) = 4/5.

_____

You can figure this from SOH CAH TOA, the mnemonic that reminds you of the definitions of the trig functions. The adjacent leg for one of the acute angles in the right triangle is the opposite leg for the other angle.

... Sin = Opposite/Hypotenuse

... Cos = Adjacent/Hypotenuse

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3 years ago
Slove the inequality 5(x + 1) &lt;25<br> x &lt; 4<br> x &gt; -4<br> x &gt; 4<br> Pls help meee
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5x+5<25

Subtract 5 from both sides.

5x<20

Divide both sides by five.

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3 years ago
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