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vagabundo [1.1K]

3 years ago

11

Amelia is looking at the top of a lighthouse. She knows she is 32 feet from the base of the lighthouse. If she is 62 inches tall

and the angle of elevation is 37°, how tall is the lighthouse? Round to the nearest tenth of a foot.

1 answer:

podryga [215]3 years ago

5 0

Answer:

28.3 feet

Step-by-step explanation:

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What fraction of a ton is equivalent to 1,000 pounds

Alexus [3.1K]

1/2 ton would be the correct answer since a single ton is 2,000 lbs

7 0

3 years ago

A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will

Karo-lina-s [1.5K]

Answer:

16 units.

Step-by-step explanation:

Just to make things easy, let's name the points A(3,9) B(5,9) C(3, 3) and D(5, 3).

Because this question wants perimeter, we'll just use the distance formula twice, then l*2 + w*2 = p.

Distance formula is sqrt((x1 - x2)^2 + (y1 - y2)^2) = d.

sqrt((5 - 3)^2 + (9 - 9)^2) = 2

sqrt((5 - 5)^2 + (9 - 3)^2) = 6.

The distance of points A and B is 2 units, and B to D is 6 units, multiply both by 2, (2*2=4, 6*2=12) and add the values to find 16 units.

Hope this helps, and if this is for OW, I feel your pain.

5 0

4 years ago

Find the volume of cylinder<br> Diameter of base is 11 cm<br> Height of cylinder is 16cm

just olya [345]

Answer:

1520.5 cm³

Step-by-step explanation:

Volume formula for cylinder: V = πr²×h

Radius = 11 ÷ 2

= 5.5cm

Volume = π × 5.5² × 16

=1520.5cm³

3 0

3 years ago

Creating an Exponential Model

belka [17]

Answer:

P = $300

r = 0.15

n = 12

$544.61 (to the nearest cent)

$P(1+r)^t$

$524.70 (to the nearest cent)

Step-by-step explanation:

P = principal amount = $300

r = annual interest rate in decimal form = 15% = 15/100 = 0.15

n = number of times interest is compounded per unit t = 12

<u>How much she'll owe in 4 years</u>

P = 300

r = 0.15

n = 12

t = 4

$P(1+\frac{r}{n})^{nt}=300(1+\frac{0.15}{12})^{12 \times 4}$

= $544.61 (to the nearest cent)

<u>Yearly compounding interest rate</u>

$P(1+r)^t$

<u>How much she'll owe in 4 years at yearly compounding interest</u>

$P(1+r)^t=300(1+0.15)^4$

= $524.70 (to the nearest cent)

7 0

3 years ago

What is the inverse function for h(x) = <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B7%7D%20-1" id="TexFormula1" title="\sqrt

Blizzard [7]

Step-by-step explanation:

$y = \sqrt{x + 7} - 1$

Replace x and y.

$x = \sqrt{y + 7} - 1$

Solve for y.

$x + 1 = \sqrt{y + 7}$

Square both sides.

$(x + 1) {}^{2} = y + 7$

$(x + 1) {}^{2} - 7 = y$

This is the inverse function or you can also say

${x}^{2} + 2x - 6 = y$

5 0

2 years ago