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3 years ago

Find x. Round your answer to the nearest tenth of a degree.

Mathematics

1 answer:

viktelen [127]3 years ago

3 0

Answer: x=52.6°

Step-by-step explanation:

To find the value of x, we have to use our SOHCAHTOA. We can eliminate sine and cosine because both uses hypotenuse, which is not labelled. Therefore, we use tangent.

$tan(x)=\frac{17}{13}$

To find x, we want to use inverse tangent.

$x=tan^{-1}(\frac{17}{13} )$ [plug into calculator]

$x=52.6$

Now, we know that x=52.6°.

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1. A quadrilateral has vertices A(0,0), B(8,0),C(7,5), and

babunello [35]

The formula for the distance between two points is

$d(A,B) = \sqrt{(A_x-B_x)^2+(A_y-B_y)^2}$

Note that, if two points have one coordinate in common, this formula simplifies to

$d(A,B) = |A_x-B_x|,\quad d(A,B)=|A_y-B_y|$

(the first if they share the y coordinate, the second if they share the x coordinate).

So, these are the lengths of the sides:

$d(A,B)=|8-0|=8$

(because they share the y coordinate)

$d(B,C) = \sqrt{(8-7)^2+(0-5)^2}=\sqrt{1+25}=\sqrt{26}$

(standard formula)

$d(C,D)=|7-3|=4$

(because they share the y coordinate)

$d(A,D) = \sqrt{(0-3)^2+(0-5)^2}=\sqrt{9+25}=\sqrt{34}$

5 0

3 years ago

PLEASE HELP WILL MARK U BRAINLIEST

larisa86 [58]

Answer: x=27

Step-by-step explanation:

3 0

3 years ago

a tank is 4÷5 full of water. after drawing off 190 litees of water,it is just 1÷6 full. what is the capacity of the tank

soldier1979 [14.2K]

Hey there! I'm happy to help!

Let's have the capacity be c. The tank is currently at 4/5c. We subtract 190 and then we are at 1/6c. Let's set this up as an equation and solve it.

4/5c-190=1/6c

We want to get the c all by itself to see the capacity of the tank. Let's get all of the c values on the left side of the equation and the numbers on the right by using inverse operations.

4/5c-190=1/6c

Add 190 to both sides.

4/5c=1/6+190

Subtract 1/6 from both sides.

19/30c=190

Divide both sides by 19/30.

c=300

So, the capacity of the tank is 300 liters of water.

Have a wonderful day and keep on learning! :D

8 0

3 years ago

Solve the equation by completing the square. X^2+10x+24=0

goldfiish [28.3K]

Answer:

x = -4

x = -6

Step-by-step explanation:

X^2+10x+24=0

(b/2)^2 = (10/2)^2 = 25

X^2+10x+25=-24+25

(x+5)^2 = 1

(x+5) = ± 1

x = +1 -5 = -4

x = -1 -5 = -6

3 0

3 years ago

a teapot is 1/3 full of tea, when all of the tea is poured into an empty container, the container is 2/3 full. what fraction of

777dan777 [17]

1t/3=2c/3

2c/3=t/3 multiply both sides by 3

2c=t divide both sides by 2

c=t/2

So it takes 1/2 of a full teapot to fill one full container.

3 0

3 years ago