The triangle has a right angle at the middle letter. In AABC, Ĉ = 40°, BC = 4 cm. Find AB.

Mathematics

1 answer:

Ilia_Sergeevich [38]2 years ago

5 0

Tan 40 degree= opposite (ab)/adjacent (4)
.839=ab/4
Ab=3.36cm

You might be interested in

Given points A(-3, 2), B(7, 8), and C(10,3) of parallelogram ABCD, find the coordinates of D that complete the parallelogram cor

dlinn [17]

I believe it is(0,-3)

6 0

3 years ago

Calculating cos-1 ( help is gladly appreciated :) )

Alekssandra [29.7K]

Answer:

$\frac{3\pi}{4}$

(Assuming you want your answer in radians)

If you want the answer in degrees just multiply your answer in radians by $\frac{180^\circ}{\pi}$ giving you:

$\frac{3\pi}{4} \cdot \frac{180^\circ}{\pi}=\frac{3(180)}{4}=135^{\circ}$ .

We can do this since $\pi \text{ rad }=180^\circ$ (half the circumference of the unit circle is equivalent to 180 degree rotation).

Step-by-step explanation:

$\cos^{-1}(x)$ is going to output an angle measurement in $[0,\pi]$ .

So we are looking to solve the following equation in that interval:

$\cos(x)=-\frac{\sqrt{2}}{2}$ .

This happens in the second quadrant on the given interval.

The solution to the equation is $\frac{3\pi}{4}$ .

So we are saying that $\cos(\frac{3\pi}{4})=\frac{-\sqrt{2}}{2}$ implies $\cos^{-1}(\frac{-\sqrt{2}}{2})=\frac{3\pi}{4}$ since $\frac{3\pi}{4} \in [0,\pi]$ .

Answer is $\frac{3\pi}{4}$ .

4 0

3 years ago

I need to increase my sales by 35% this month I’m currently at 45 sales how many sales do I need to meet my goal ?

telo118 [61]

Assume that 100% = 45 sales and 35% = X sales amount

You can create a ratio to help you solve for x

45 = 100%
x = 35 %

Which is equal to this fraction: (45/x) = (100/35)

Solving for X by cross multiplying and dividing by 100:
[(45)(35)] / 100 = X = 15.75 = 16 sales (rounded up)

You would need at least 16 sales to increase sales total by 35%

8 0

3 years ago

Read 2 more answers

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. q2+11q

Sedbober [7]

Answer:

$(q+\frac{11}{2})^2-\frac{121}{4}$

Step-by-step explanation:

We have been given an expression $q^2+11q$ . We are asked to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.