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jekas [21]
3 years ago
14

Please help!! What is x?

Mathematics
1 answer:
vivado [14]3 years ago
7 0

Answer:

12

Step-by-step explanation:

1) to calculate the length of RT (in ΔRST):

SR/sin60°=12√3 / (√3/2)=12.

2) in ΔQRT RT=RQ=x (the m∠T=m∠Q !), then x=12.

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an automobile tank is 1/6 full of gas. when eight litres are added to the tank, it is 1/4 full of gas. how many litres does it h
Vikki [24]

Answer:

1/9

Step-by-step explanation:

4 0
4 years ago
You can model an arch at your school using the equation y=−0.9(x+3)(x−3), where x and y are measured in feet. The x-axis represe
Slav-nsk [51]

Answer:

6 ft

Step-by-step explanation:

As we know that, the arch meet the ground are the value of x when y = 0

y=−0.9(x+3)(x−3)

<=> 0 = −0.9(x+3)(x−3)

<=> x=3 or x=-3  

So we have 2 coordinates: (3, 0) and (-3,0) and the distance between them is:

3 -(-3) = 6

=> The width of the arch at ground level is 6 ft

7 0
3 years ago
Scott was considering the equation 5 - x = 12. He said, "That seems
den301095 [7]

Answer:

-7

Step-by-step explanation:

5 - x = 12  \\ 5 - 12 = x \\   - 7 = x

it is possible because x is just a letter representing the unknown nos

7 0
3 years ago
What is the value of y? NU=9, NM= 3, MT= 6, TN= y
nevsk [136]

Answer:

6\sqrt{3}

Step-by-step explanation:

We have to use Pythagoras' identity twice to find y

The square on the hypotenuse is equal to the sum of the squares on the other two sides.

In right triangle MUT to find TU

TU² + 3² = 6², that is

TU² + 9 = 36 ( subtract 9 from both sides )

TU = 27 ( take the square root of both sides )

TU = \sqrt{27} = \sqrt{9(3)} = 3\sqrt{3}

In right triangle NUT to find y

y² = 9² + (3\sqrt{3} )² = 81 + 27 = 108 ( take the square root of both sides )

y = \sqrt{108} = \sqrt{36(3)} = 6\sqrt{3}

3 0
3 years ago
Find the lateral surface area of the cylinder. use 3.14 for π, and round your answer to the nearest hundredth. refer to your sta
Mariana [72]

The lateral surface area of the given cylinder of radius 10cm and height of 5cm is 314cm sq.

<h3>What is the lateral surface area of the cylinder?</h3>

For a right circular cylinder of radius r and height h, the lateral surface area is the product of diameter to the height and pie.

The lateral surface area of the cylinder = 2πrh

Let assume Radius, r = 10

Height, h = 5.

The lateral surface area of the cylinder = 2πrh

       = 2 × 3.14 × 10 × 5

       =  314cm sq.

Read more about cylinders;

brainly.com/question/9554871

4 0
3 years ago
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