All categories

3 years ago

In the right triangle shown, <B=60° and AB=18. How long is AC?

Mathematics

1 answer:

Naily [24]3 years ago

6 0

Answer:

18√3

Step-by-step explanation:

tan Ф = opposite/adjacent

tanФ = AB/AC

tan 60 = AC/AB

Tan 60 =√3 AB=18

√3=AC/18

AC=18√3

You might be interested in

Find the volume of a cylinder with diameter 8 inches and height 9 1/2 inches

marta [7]

Answer:

$V=152\pi in^{2}$ in terms or pi

$V=477.52in^{2}$ simplified

Step-by-step explanation:

To solve this, we are using the Cylinder's volume formula:

$V=\pi r^{2} h$

where

$V$ is the volume of the cylinder

$r$ is the radius of the cylinder

Remember that radius is half the diameter, so we can divide the diameter of our cylinder by 2 to find its radius: $r=\frac{d}{2} =\frac{8in}{2} =4in$ . Now, 9 1/2 inches is 9 and a half inches, so $h=9.5in$ .

Replacing values:

$V=\pi (4in)^{2} (9.5in)$

$V=\pi (16in^{2})(9.5in)$

$V=152\pi in^{2}$

$V=477.52in^{2}$

We can conclude that the volume of our cylinder is $V=152\pi in^{2}$ in terms of pi, or $V=477.52in^{2}$ simplified.

4 0

3 years ago

Read 2 more answers

Complete each statement in the steps to solve x2 – 4x + 3 = 0 using the process of completing the square.

My name is Ann [436]

(x - 3)(x - 1)

x = 3
or
x = 1

8 0

3 years ago

Two angles are supplementary. One angle is 5degrees° more than six times the other. Find the measure of each angle.

kolbaska11 [484]

Well do you know what a supplementary angles is ?
it is two angles that add up to 180 degrees

6 0

3 years ago

Help pleasee! will mark brainliest (IF CORRECT)

Deffense [45]

Answer:

3. a. The constant rate of change is -1. The graph shows the hawk diving 10 feet closer to its prey every second.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the

d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

$Trees = 24$

$Yield = 104$

$x \to additional\ trees$

So, we have:

$Trees = 24 + x$

$Yield = 104 - 2x$

Required

The additional trees to be planted for maximum yield

The function is:

$f(x) = Trees * Yield$

$f(x) = (24 + x) * (104 - 2x)$

Open bracket

$f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x$

$f(x) = 2796 + 104x - 48x - 2x^2$

$f(x) = 2796 + 56x - 2x^2$

Rewrite as:

$f(x) = - 2x^2 + 56x + 2796$

Differentiate

$f'(x) = -4x + 56$

Equate $f'(x) = -4x + 56$ to 0 and solve for x to get the maximum of x

$-4x + 56 = 0$

$-4x =- 56$

Divide by -4

$x =14$

The farmer should plant 14 additional trees, for maximum yield.

5 0

3 years ago

In the right triangle shown, <B=60° and AB=18. How long is AC?​

In the right triangle shown, <B=60° and AB=18. How long is AC?