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SOVA2 [1]
2 years ago
11

A hot air balloon is at 14 feet above sea level, if you remove 7 sandbags, where

Mathematics
2 answers:
aleksley [76]2 years ago
7 0

Answer:

21 feet above sea level.

Step-by-step explanation:

If you remove weight, a hot balloon goes up. 14+7(feet) = 21 feet above sea level.

musickatia [10]2 years ago
5 0

Answer:

21ft

Step-by-step explanation:

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Is A ABC similar to DEF? Why or why not?
vova2212 [387]

Answer:

Option(D)

Step-by-step explanation:

Given are the two triangles, that are ABC and DEF, in which AB=8ft, DE=6ft, AC=10ft and DF=7.5ft.

For the two triangles to be similar, it must satisfy the similarity condition that is:

Both the triangles must have congruent angles and the sides should be proportional. Since, two sides of the given triangles are not proportional.Moreover, ∠A=25° and ∠D=24° which are not equal and ∠C=60° and ∠F=61° which are also not equal.

Therefore, Not all the angles are congruent, thus the triangles cannot be similar.

6 0
3 years ago
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Megan’s TV had a base price of $189 and the sales tax was 6.88%. Over the next four years, the TV consumed an average of $0.06 o
Leni [432]

Answer:

Step-by-step explanation:

price of tv and sales tax = 1.0688×$189 = $202.0032 ≅ $202.00

4 years = 3×365 days + 366 days = 1461 days

cost of electricity = 1461 days × $0.06/day = $87.66

lifetime cost = purchase price + electricity + repairs

= $202.00 + $87.66 + 2·$29

= $347.66

8 0
2 years ago
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The deck of a bridge is suspended 275 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of
Ivenika [448]

Answer:

Our equation for the height is:

y(t) = 275 - 16*t^2.

a) To find the average velocity between two times, t1 and t2, (where t2 > t1) the equation is:

AV = \frac{y(t2) - y(t1)}{t2 - t1}

Then:

i) t1 = 4s, t2 = 4s + 0.1s = 4.1s

The average velocity is:

AV = \frac{(275 - 16*4.1^2) - (275 - 16*4^2)}{4.1 - 4} = \frac{16(4^2 - 4.1^2)}{0.1} = -129.6

And the units will be ft/s, so the average speed is:

-129.6 ft/s

The minus sign is because te pebble is falling down.

ii)  t1 = 4s, t2 = 4s + 0.05s = 4.05s

The average velocity is:

AV = \frac{(275 - 16*4.05^2) - (275 - 16*4^2)}{4.05 - 4} = \frac{16(4^2 - 4.05^2)}{0.05} = -128.8

So the average speed is -128.9 ft/s

iii)  t1 = 4s, t2 = 4s + 0.01s = 4.01s

The average speed is:

AV = \frac{(275 - 16*4.01^2) - (275 - 16*4^2)}{4.01 - 4} = \frac{16(4^2 - 4.01^2)}{0.01} = -128.16

The average speed is -128.16 ft/s.

b) The instantaneous velocity of the pebble after 4 seconds can be obtained by looking at the velocity equation, that is the derivative of the height equation.

v(t) = dy(t)/dt.

v(t) = -2*16*t + 0

Then the velocity at t = 4s is:

v(4s) = -32*4 = -128

The instantaneous velocity at t = 4s is -128 ft/s.

3 0
3 years ago
4x and 16y are like terms.<br> O A. True<br> O B. False
Gekata [30.6K]
B. False

X and Y are two different variables.
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3 years ago
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What is the slope of a line parallel to the line whose equation is 3x + 3y = 72. Fully
CaHeK987 [17]

Answer:

The slope of the equation is -1, so the slope for the parallel line will also be -1.

Step-by-step explanation:

6 0
3 years ago
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