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amm1812
2 years ago
10

In the triangle below,

Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
6 0

Answer:

sine 70 = opposite / hypotenuse

sine 70 = 12 / x

x = 12 / sine 70

x = 12 / 0.93969

x = 12.7701688855 cm

x = 12.8 cm (rounded to nearest tenth.

Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B400%20%5Ctimes%20400%20-%2024%20%5Ctimes%20400%20-%20360%20%5Ctimes%20400%20-%202
max2010maxim [7]

Answer:

\sqrt{400 \times 400 - 24 \times 400 - 360 \times 400 - 200} \\  \\  = \sqrt{160000 - 9600 - 144000 - 200} \\  \\  = \sqrt{160000 - 9600 - 144000 - 200} \\  \\ = \sqrt{160000 - 153,800} \\  \\  = \sqrt{6200} \\  \\  = 78.74 \\  \\

7 0
3 years ago
Marco went bowling and spent a total of $21. This included the shoe rental of $7. He bowled 4 games. How much did each game cost
Bas_tet [7]
The costs of each game was A. $3.50
$21 - $7\4 = $3.50

4 0
3 years ago
Read 2 more answers
ben is filling up his cylinder shaped pool up to 80% of its capacity . If his is 6 feet deep and has a diameter of 18 feet, how
Nady [450]

Answer:

You will put 1220.83ft³ of water in the pool

Step-by-step explanation:

First of all we have to calculate the volume of the pool and then calculate 80% of that volume

radius = half of diameter

d = 18ft

r = 18ft / 2 = 9ft

To calculate the volume of a cylinder we have to use the following formula:

v = volume

h = height = 6ft

π = 3.14

r = radius = 9ft

v = (π * r²) * h

we replace with the known values

v = (3.14 * (9ft)²) * 6ft

v = (3.14 * 81ft²) * 6ft

v = 254.34ft² * 6ft

v = 1526.04ft³

The volume of the cylinder is 1526.04ft³

If it is filled to 80% then we have to multiply the volume by 80/100

1526.04ft³  * 80/100 = 1220.83ft³

You will put 1220.83ft³ of water in the pool

8 0
3 years ago
find the value of y so that the line passing through the points (2,5) and (7,y) that has a slope of 2/3
k0ka [10]

Answer:

25/3 is the value for y.

Step-by-step explanation:

The explanation is in the image attached to my answer. If you have any questions then feel free to leave a comment!

8 0
3 years ago
Item 1<br> Find the dimensions of the square.<br><br> Area = 441 cm²
mafiozo [28]

Answer:

21 cm by 21 cm

Step-by-step explanation:

The formula for the area of a square is A = x^2, where x is the length of any one side of the square.  Here,

441 cm² = x²

This actually has two roots:  {√441, -√441), but since x must be positive here, to be a dimension of the square, we choose +√441, or +21.

The dimensions of the square are 21 cm by 21 cm.

3 0
3 years ago
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