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2 years ago

Solve for x 90°, 45°, and x°

Mathematics

1 answer:

statuscvo [17]2 years ago

8 0

Answer:

x= 45

Step-by-step explanation:

In this diagram, there is an angle that is split into 2 angles.

The angle is a 90 degree angle. We know this because of the little square in the corner that denotes a right angle.

Therefore, the 2 angles inside of the right angle must add to 90 degrees. The 2 angles that make up the right angle are x and 45.

x+45=90

We want to find x. We need to get x by itself. 45 is being added on to x. The inverse of addition is subtraction. Subtract 45 from both sides.

x+45-45=90-45

x= 90-45

x=45

The measure of angle x is 45 degrees.

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What is the area of a circle that has a circumference of 42 inches? A. 140.4 in2 B. 126.60 in2 C. 132.62 in2 D. 21.04 in2

tankabanditka [31]

Circumference = 2 $\pi$ r
   42 = 2 $\pi$ r
42/(2 $\pi$ ) = r
21/ $\pi$ = r

Area = $\pi$ r²
   = $\pi$ (21/ $\pi$ )²
   = 21²/ $\pi$
   = 140.37
   ≈ 140.4

Answer: A

7 0

3 years ago

What is the algebraic expression that describes the monthly pay? Let x be the hours of training.

Radda [10]

For every 10 hours of training, monthly pay increases by 100
that means that for every 1 hour, monthly pay increases by 10
so the answer must be in the form 10x + something
let's take the 1st row in the table:
10 hours of training = 1300 monthly pay
10x+ something = 1300
10*10 + something=1300
something = 1200
therefore, monthly pay = A. 10x+1200

4 0

3 years ago

Read 2 more answers

A circle is centered at the point (5,-4) & passes through the point (-3,2).

maxonik [38]

Equation of the circle:

$(x-5)^2+(y+4)^2=100$

Step-by-step explanation:

The equation of a circle is given by

$(x-x_0)^2+(y-y_0)^2=r^2$

where

$(x_0,y_0)$ are the coordinates of the center of the circle

r is the radius of the circle

For the circle in this problem, we know that:

(5,4) are the coordinates of the center

We also know that the circle passes through the point (-3,2), therefore we can calculate the radius as the distance between the point on the circle and the center of the circle:

$r=\sqrt{(-3-(5))^2+(2-(-4))^2}=\sqrt{(-8)^2+(6)^2}=\sqrt{64+36}=10$

Therefore, the equation of the circle is:

$(x-5)^2+(y-(-4))^2=10^2\\(x-5)^2+(y+4)^2=100$

Learn more about circles:

brainly.com/question/4713715

brainly.com/question/3456442

brainly.com/question/3333996

#LearnwithBrainly

5 0

2 years ago

Y is directly proportional to x, and y=56 when x=7. find the value of y when x=4.

podryga [215]

Y=kx
when y=56, x=7
56=7k
k=8
when x=4
y=8(4)
y=32
value of y=32

6 0

3 years ago

A recent survey by the cancer society has shown that the probability that someone is a smoker is P(S)=0.29. They have also deter

GuDViN [60]

Answer:

The correct answer option is P (S∩LC) = 0.16.

Step-by-step explanation:

It is known that the probability if someone is a smoker is P(S)=0.29 and the probability that someone has lung cancer, given that they are also smoker is P(LC|S)=0.552.

So using the above information, we are to find the probability hat a random person is a smoker and has lung cancer P(S∩LC).

P (LC|S) = P (S∩LC) / P (S)

Substituting the given values to get:

0.552 = P(S∩LC) / 0.29

P (S∩LC) = 0.552 × 0.29 = 0.16

5 0

3 years ago