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cluponka [151]
3 years ago
15

8x^2y^3+6x^2y Please factorize

Mathematics
1 answer:
stepladder [879]3 years ago
5 0

Answer:

8x^2y^3+6x^2y

8x²y³+6x²y

2x²y(4y²+3)

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Geometry<br> Solve for x. Round to the nearest tenth of a degree, if necessary.
zvonat [6]

Answer:

  13. x = 52.8°

  14. 663.65 ft

  15. 30.7 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between sides of a right triangle and trig functions of the acute angles.

__

<h3>13.</h3>

The sides adjacent and opposite the angle are marked. The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(x°) = 2.5/1.9

The angle is found using the inverse tangent function:

  x° = arctan(2.5/1.9) ≈ 52.8°

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<h3>14.</h3>

Again, the tangent relation comes into play. The given values are the side opposite and the angle, and we are asked for the side adjacent.

  Tan = Opposite/Adjacent

  tan(11°) = (129 ft)/(distance to shore)

  distance to shore = (129 ft)/tan(11°)

  distance to shore ≈ 663.65 ft

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<h3>15.</h3>

In this scenario, the given angle is opposite the given side of the triangle. The measure of the hypotenuse is needed.

  Sin = Opposite/Hypotenuse

  sin(71°) = (29 ft)/(ladder length) . . . . substitute given information

  ladder length = (29 ft)/sin(71°) . . . . . . solve for ladder length

  ladder length ≈ 30.7 ft

3 0
2 years ago
The two dot plots represent a sample of the number of
zheka24 [161]

The answer is:

Both have the same number of data points

Both means are between 3 and 4

Westwood has less variability than Middleton

8 0
3 years ago
Read 2 more answers
Sandy is working with a carpenter to frame a house. They are using 8 foot long boards but each board must be cut to be 7 feet, 1
quester [9]
The answer is 5/4 in

The initial length:
1 ft = 12 in
8 ft = 8 * 12 in
      = 96 in

The final length:
7 ft 10 3/4 in = 7 ft + 10 in + 3/4 in
                     = 7 * 12 in + 10 in + 3/4 in
                     = 84 in + 10 in + 3/4 in
                     = 94 in + 3/4 in

The cut if the initial length - final length:
96 in - 94 in - 3/4 in = 2 in - 3/4 in = 8/4 in - 3/4 in = 5/4 in
7 0
3 years ago
An astronaut was exploring the moon of a distant planet, and found some glowing goo at the bottom of a very deep crater. She bro
Soloha48 [4]

Answer:

after 1 hr = 20 after 2 hrs =<em> </em> 40 after 3 hrs = 80 160 n 3 hrs

8 0
3 years ago
A box of cereal contains 18 cups. Ben eats 2 1/4 cups every serving. How many servings can he eat?
g100num [7]
Ben can have 8 servings total!

Hope this helps! :)
4 0
3 years ago
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