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3 years ago

The radius of a sphere-shaped balloon increases at a rate of 2 centimeters (cm) per second. If the surface area of

Mathematics

1 answer:

djverab [1.8K]3 years ago

5 0

Answer:

7 seconds

Step-by-step explanation:

The radius of a sphere-shaped balloon increases at a rate of 2 centimeters (cm) per second.

surface area of the completely inflated balloon is 784 cm²

SA=4r²

784= 4r²

784/4= r²

196 = r²

14cm = r

Yhe radius of the complete inflated balloon is 14cm

If the ball inflate at the rate of 2 cm per seconds

Then it took 14/2 = 7 seconds to inflate fully

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3 years ago

Y=2/3(x-5)^2

Anvisha [2.4K]

Answer:

see below

Step-by-step explanation:

The graph opens upward if the sign of the squared term is positive. If that sign is negative, the graph opens downward. The first three equations open upward; the last opens downward.

The line of symmetry is the value of x that makes the squared term zero. Here, that is x=5 for all equations.

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3 years ago

At noon Joyce drove to the lake at 30 miles per hour. but she made the long walk back home at 4 miles per hour. How long did she

mars1129 [50]

Answer:

60 miles

Step-by-step explanation:

let d = distance to the lake

Using: time = distance ÷ speed

Create expressions for the time it takes for each journey:

Drive: $t_1=\dfrac{d}{30}$

Walk: $t_2=\dfrac{d}{4}$

If total time = 17 hours

$\implies t_1+t_2=17$

$\implies \dfrac{d}{30}+\dfrac{d}{4}=17$

$\implies \dfrac{17d}{60}=17$

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$\implies d=\dfrac{1020}{17}$

$\implies d=60$

Therefore she walked 60 miles

3 0

2 years ago

Read 2 more answers

What is the area of the sector a.) 10π cm^2b.) 16π cm^2c.) 40π cm^2d.) 64π cm^2

Natalija [7]

Answer:

C. 40π cm²

Explanation:

• The central angle of the sector = 225 degrees

• The radius of the sector = 8cm

For a sector of radius r and central angle θ, we calculate the area using the formula below:

$\text{Area}=\frac{\theta}{360\degree}\times\pi r^2$

Substituting the given values, we have:

$\begin{gathered} \text{Area}=\frac{225}{360}\times\pi\times8^2 \\ =\frac{5}{8}\times64\times\pi \\ =5\times8\times\pi \\ =40\pi cm^2 \end{gathered}$

The area of the sector is 40π cm².

3 0

1 year ago