All categories

3 years ago

BAC ~ DEC what is the value of x?

Mathematics

1 answer:

Anna007 [38]3 years ago

5 0

Answer: x = 37.8

Step-by-step explanation: We start with triangle ABC with two sides given as 15 and 18. We shall make angle C the reference angle and thereby calculate the third side, line BC.

Since we have the opposite side as 15, and the adjacent side (which lies between the reference angle and the right angle) as 18, we can use the tangent of the angle C

Tan C = Opp/Adj

Tan C = 15/18

Tan C = 0.8333

From our table of values/use of the calculator

Tan C = 39.8

Angle C in triangle ACB = Angle C in triangle ECD (Opposite angles are equal).

That takes us to triangle ECD, since the reference angle is known (39.8) and the opposite side is also given (31.5), we can now calculate the adjacent which is side x.

Tan C = Opp/Adj

Tan 39.8 = 31.5/x

when you cross multiply, x moves to the left hand side, while Tan 39.8 moves to the right hand side

x = 31.5/Tan 39.8

x = 31.5/0.8333

You might be interested in

A person breathes 2.5 x 10^-4 in about cubic meters of air per second. How long does it take to breathe in 2.5 cubic meters of a

Ipatiy [6.2K]

Answer:

10⁴ seconds

Step-by-step explanation:

Given that,

A person breathes $2.5\times 10^{-4}$ in about cubic meters of air per second.

We need to find time taken to breathe 2.5 cubic meters of air.

In 1 sec = $2.5\times 10^{-4}$ m³ of air breathe

Let in x seconds, 2.5 m³ of air taken by the person.

$x=\dfrac{2.5}{2.5\times 10^{-4}}\\\\x=10^4\ s$

Hence, in 10⁴ seconds 2.5 m³ of air is taken by the person.

5 0

3 years ago

In a random sample of 200 cars of a particular model,

Aleks04 [339]

By using proportions, We expect 150 defects out of the 10,000 cars if the 3 defects out of the 200 cars sampled is representative of all 10,000 cars.

Option A is correct.

First, let's set up the proportions.

A proportion is an equation in which two ratios are set equal to each other.

We have 3/200 cars with defects and we want to know X for X/10000.

So 3/200 = X/10000

Now solve for X.

3/200 = X/10000

X = $\frac{3}{200} \times 10000$

X = 150

So the answer is: We expect 150 defects out of the 10,000 cars if the 3 defects out of the 200 cars sampled is representative of all 10,000 cars.

Option A is correct.

Find out more information about proportions here

brainly.com/question/11609816

#SPJ4

8 0

2 years ago

A kite has a height of 36 inches and a width of 30 inches. Explain how to use the area formula for a triangle to find the area o

mote1985 [20]

Height of the kite is = 36 inches.

Width of the kite is = 30 inches

One of the ways to find the area is to draw a vertical line to break the kite into two equal triangles. Mark the base as 36 inches and height as 15 inches .

Now we will use the formula $area=\frac{1}{2}*base*height$ to find the area of each triangle. Then we will add both the areas to find the area of the kite.