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stiv31 [10]
2 years ago
8

Can someone answer this question please

Mathematics
1 answer:
Sliva [168]2 years ago
5 0

The value of x in the right angled triangle is 24 degrees.

<h3>Description of a right-angled triangle </h3>

A right angled triangle is a type of triangle that has 3 sides. One of its angles is equal to 90 degrees and the sum of angles is 180 degrees.

<h3>Determining the value of the third angle </h3>

180 - 32 - 90 = 58 degrees

<h3>Determining the value of x </h3>

The angle on a straight line is equal to 180. Thus; 180 = (5x + 2 + 58)

= 180 =  5x + 60

180 - 60 = 5x

120 = 5x

x = 24 degrees

To learn more about a triangle, please check: brainly.com/question/9329354

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Select the correct answer. Which number has a terminating decimal expansion? A. 2/7 B.√12 C. 5/8 D. 2/11
quester [9]

Answer:

Option C is correct option.

Step-by-step explanation:

We need to determine which number has a terminating decimal expansion.

<em>Terminating decimal </em>

<em>A decimal number that contains a finite number of digits after the decimal point is called terminating decimal . </em>

<em>for example 0.123 is terminating decimal as it has finite number of digits after decimal point.</em>

Now, we will look at each option to find the terminating decimal

A. 2/7

Converting in decimal form: 0.28571....

As it doesn't contain finite numbers after decimal point, so 2/7 is not terminating decimal.

B.√12

Converting in decimal form: 3.46410....

As it doesn't contain finite numbers after decimal point, so √12 is not terminating decimal.

C. 5/8

Converting in decimal form: 0.625

As it contain finite numbers after decimal point, so 5/8 is terminating decimal.

D. 2/11

Converting in decimal form: 0.18181....

As it doesn't contain finite numbers after decimal point, so 2/11 is not terminating decimal.

Therefore, Option C is correct option.

4 0
2 years ago
Write the equation that is the translation of y=|x| right 7 units and down 9 units.
DedPeter [7]

Answer:

y=|x-7|-9.

Step-by-step explanation:

The given function is  y=|x|.

When this function is translated to the right 7 units and down 9 units, then the equation becomes

y=|x-7|-9.

Always remember that; y=|x-c|-k is a transformation that translates the graph of y=|x| c units to the right and k units down.

The correct choice is the first option.

8 0
3 years ago
Evaluate the expression: 2 1/4 - 3/6
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Answer:

Answer will 19/4 hope it helps

6 0
3 years ago
Read 2 more answers
alex wong basketball after making a half court shot. the display box for his new basketball is in the shape of a cube. alex meas
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408.454 cubic inches of air is surrounding the ball in the box

Step-by-step explanation:

When a sphere is inscribed in a cube and touching all of its faces, then

  • The diameter of the sphere = the side of the cube
  • The empty volume of the cube is the difference between the volume of the cube and the volume of the sphere

∵ The basketball is shaped a sphere

∵ The box is shaped a cube

∵ The ball touching every wall of the box

∴ The diameter of the ball = the side of the box

∵ The length of one side of the cube = 9.5 inches

∴ The diameter of the ball = 9.5 inches

∵ The diameter of the ball = 2 r, where r is the radius of the ball

∴ 9.5 = 2 r

- Divide both sides by 2

∴ r = 4.75 inches

∵ The volume of the air that surrounded the ball in the box =

   volume of the box - volume of the ball

∵ Volume box (cube) = s³

∵ s = 9.5 inches

∴ Volume of the box = (9.5)³

∴ Volume of the box = 857.375 inches³

∵ Volume the ball (sphere) =  \frac{4}{3} π r³

∵ r = 4.75

∴ Volume the ball = \frac{4}{3} (π)(4.75)³

∴ Volume the ball = 448.921 inches³

Substitute the values of the volumes of the box and the ball in the rule above

∴ The volume of the air = 857.375 - 448.921

∴ The volume of the air = 408.454 inches³

408.454 cubic inches of air is surrounding the ball in the box

Learn more:

You can learn more about volume of solids in brainly.com/question/12497249

#LearnwithBrainly

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3 years ago
Solve using subsistution<br> -x + 2y = 6
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X=2 y=2..............



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