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Helen [10]
2 years ago
6

A hot-air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the b

alloon is 20 feet. The balloon continues to rise at the same rate. Which table shows the relationship between the time in seconds, x, and the height of the balloon in feet, y?
Mathematics
1 answer:
mr_godi [17]2 years ago
3 0

The constant rate = 20 ft / 5 seconds = 4 feet per second

Find the chart that shows an increase of 4 feet for every second the balloon travels.

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(25 points to correct answer)
Kobotan [32]

Answer:

The area of a sector GHJ is 36.3\ cm^{2}

Step-by-step explanation:

step 1

we know that

The area of a circle is equal to

A=\pi r^{2}

we have

r=8\ cm

substitute

A=\pi (8)^{2}

A=64\pi\ cm^{2}

step 2

Remember that the area of a complete circle subtends a central angle of 360 degrees

so

by proportion find the area of a sector by a central angle of 65 degrees

\frac{64\pi}{360}=\frac{x}{65}\\ \\x=64\pi (65)/360

Use \pi =3.14

x=64(3.14)(65)/360=36.3\ cm^{2}

6 0
3 years ago
A line passes through the points (4, 9) and (12, 20). What is the slope of the line?
Mashutka [201]

Answer:

\frac{11}{8}

Step-by-step explanation:

→ State the gradient formula

( y₂ - y₁ ) ÷ ( x₂ - x₁ )

→ Find x₁ , x₂ , y₁ and y₂

x₁ = 4 , x₂ = 12 , y₁ = 9 and y₂ = 20

→ Substitute in the values

\frac{20-9}{12-4}

→ Simplify

\frac{11}{8}

4 0
3 years ago
Find the discriminant and the number of real roots for x^2+2x+8=0
forsale [732]

Answer:

Discriminant: -28

Number of real roots: 2

8 0
3 years ago
I need to know 6 50/6 converted to fraction and simpilied
FromTheMoon [43]

6\frac{50}{6} =6\frac{25}{3}=14\frac{1}{3}  =\frac{43}{3}

Hope this helped

7 0
3 years ago
Edward is driving a car on the highway. He drives for 28.5 miles in 3/8 of an hour. At this rate, how much distance can he cover
kari74 [83]

Answer:

76 Miles.

Step-by-step explanation:

28.5/3=9.5

9.5(8)=76

5 0
3 years ago
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