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3 years ago

If the diameter of the circle below is 16 in., what is the area of the circle?

Mathematics

2 answers:

mote1985 [20]3 years ago

8 0

Answer:

64π inches² (approximately 201.06 inches²)

Step-by-step explanation:

$A=\pi r^2$ where $r$ is the radius

To find the radius, divide the diameter by 2

16 ÷ 2 = 8 inches

Plug in 8 as the radius

$A=\pi (8)^2\\A=64\pi$

$A=201.06$ (approximately)

Therefore, the area of the circle is 64π inches², or approximately 201.06 inches².

I hope this helps!

amm18123 years ago

7 0

Answer:

201 inch²

Step-by-step explanation:

d=2r ⇔ 16=2r ⇔ r=8

A= Pi× r² ≈ 3.14 × 8² ≈ 201 inch²

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How do I solve 5x+1=7x+19

notsponge [240]

Answer:

x=-9

Step-by-step explanation:

5x+1=7x+19

1 = 7x-5x +19

1-19 = 2x

-18/2 = x

x = -9

Hope this helps!

Please mark brainliest if you think I helped! Would really appreciate!

5 0

3 years ago

Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 36 miles at a speed of 6 mph, while

kykrilka [37]

Answer:

Niles and Bob were traveling for 6 hours.

Step-by-step explanation:

The speed or rate at which an object is moving can be computed using the formula:

$s=\frac{d}{t}$

Here:

s = speed

d = distance traveled

t = time taken

It is provided that Niles and Bob sailed at the same time for the same length of time.

Speed of Niles sailboat is, s₁ = 6 mph.

Distance traveled by Niles' sailboat is, d₁ = 36 miles.

Speed of Bob's sailboat is, s₂ = 16 mph.

Distance traveled by Bob's sailboat is, d₂ = 96 miles.

It took both Niles and Bob the same time to travel the respective distance.

Compute the time it took Niles to travel 36 miles at 6 mph speed as follows:

$t_{1}=\frac{d_{1}}{s_{1}}$

$=\frac{36}{6}\\=6$

It took Niles 6 hours to travel 36 miles at 6 mph speed.

Compute the time it took Bob to travel 96 miles at 16 mph speed as follows:

$t_{2}=\frac{d_{2}}{s_{2}}$

$=\frac{96}{16}\\=6$

It took Bob 6 hours to travel 96 miles at 16 mph speed.

Thus, Niles and Bob were traveling for 6 hours.

7 0

3 years ago

The cost of a t-shirt is 8.50. David has $50 with him. How many t-shirt can he buy?

anzhelika [568]

50÷8.5 = 5.88 but since we can’t have .88 of a person the answer would be five T-shirts

3 0

2 years ago

Find the approximate area between the curve f(x) = -4x² + 32x and on the x-axis on the interval [0,8] using 4 rectangles. Use th

Doss [256]

Split up the interval [0, 8] into 4 equally spaced subintervals:

[0, 2], [2, 4], [4, 6], [6, 8]

Take the right endpoints, which form the arithmetic sequence

$r_i=2+\dfrac{8-0}4(i-1)=2i$

where 1 ≤ i ≤ 4.

Find the values of the function at these endpoints:

$f(r_i)=-4{r_i}^2+32r_i=-16i^2+64i$

The area is given approximately by the Riemann sum,

$\displaystyle\int_0^8f(x)\,\mathrm dx\approx\sum_{i=1}^4f(r_i)\Delta x_i$

where $\Delta x_i=\frac{8-0}4=2$ ; so the area is approximately

$\displaystyle2\sum_{i=1}^4(-16i^2+64i)=-32\sum_{i=1}^4i^2+128\sum_{i=1}^4i=-32\cdot\frac{4\cdot5\cdot9}6+128\cdot\frac{4\cdot5}2=\boxed{320}$

where we use the formulas,

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$

6 0

3 years ago

Peter says, "If you subtract 13 from my number and multiply the difference by -3, the result is

Art [367]

Answer:

Peter's number is 36.

Step-by-step explanation:

If you subtratct 13 from 36, you get 23.

If you multiply that times -3, you get -69.

(The way I got 23 was by dividing -69 and -3)

I hope this helped you even though it's late.

6 0

3 years ago