Will give brainliest. How long is this side?

Mathematics

2 answers:

Maurinko [17]2 years ago

7 0

Your answer is 35 :)

Have a great day!!

If I'm correct give me 5 stars and brainliest.

Olegator [25]2 years ago

5 0

35 is the answer.

Have questions? let me know (:

Good Luck!

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What is the value of the product of -20/48 times 6 in simplified form

KATRIN_1 [288]

-20/48 x 6 = $\frac{-20}{48}$ x $\frac{6}{1}$

I would cancel out the 6 in the numerator and the 48 in the denominator
Now I have <u /> $\frac{-20}{8}$ or <u /> $\frac{-5}{2}$ reduced.

-5 ÷ 2 = -2 1/2 and that is the answer in simplest form

8 0

3 years ago

Two forces with magnitudes of 150 and 75 pounds act on an object at angles of 30° and 150°, respectively. Find the direction and

Anastaziya [24]

The problem is modelled in the first picture shown below

To work out the resultant vector, we modelled the vectors 150N and 75N as triangle AOB is shown in the second picture with AB as the resultant vector.

We use the cosine rule to work out the length AB
$AB^{2}= 75^{2}+ 150^{2}-(2*75*150*cos(60))$
$AB^{2} =28125-11250$
$AB^{2}=16875$
$AB= \sqrt{16875} =130$ (nearest whole number)

The third picture shows the full diagram of the vectors

To work out the direction of the resultant vector, we use the sin rule to find the size of angle A and angle B

Angle A
$\frac{130}{sin(60)}= \frac{75}{sin(A)}$
$130sin(A)=75sin(60)$
$sin(A)= \frac{75sin(60)}{130}$
$sin(A)=0.4996300406$
$A= sin^{-1}(0.4996300406)$
$A=30$ (rounded to nearest whole number)

Angle B
$B=180-60-30=90$

Direction is 60° toward negative x-axis

Answer: Magnitude 130N and direction 60° toward negative x-axis