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shusha [124]
3 years ago
10

Solve for X. Show all work

Mathematics
1 answer:
natta225 [31]3 years ago
8 0

Answer:

About 11.77 centimeters

Step-by-step explanation:

By law of sines:

\dfrac{50}{\sin 62}=\dfrac{x}{\sin 12} \\\\\\x=\dfrac{50}{\sin 62}\cdot \sin 12\approx 11.77cm

Hope this helps!

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Classify the following triangle. Check all that apply. A. Scalene B. Right C. Acute D. Equilateral E. Obtuse F. Isosceles ​
Sati [7]

Answer:

E and F

Step-by-step explanation:

The triangle given has two equal sides, and an obtuse angle that is more than 90° that measures 120°. The other two angles are of equal measure since their opposite sides are of the same length. Thus, this implies that it is an isosceles triangle because it has two equal base angles and two equal sides. It also implies that it is an obtuse triangle since one of it's angles is more than 90°.

3 0
3 years ago
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A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water 3/4 quart of grape juice. Q1: How much sparkling wa
kogti [31]

Answer:

1) 18 Quart of Sparkling water need to mix with 9 quart grape juice

2) 15/2  Quart of grape juice required for 15/4 quarts of sparkling water.

3) Quantity of grape juice  and  sparkling water in 100 quart of punch are 33 1/3 quart  and 66 2/3 quart respectively.

Step-by-step explanation:

1 1/2 quarts = 1 + (1/2) = 3/2 quarts

1)  water required for 3/4 quart of grape juice =  3/2 quarts

so water required for 1 quart of grape juice = (3/2) ÷ (3/4) = (3/2)× (4/3) = 2 quarts

so water required for 9 quart of grape juice = 9 * 2 = 18 quart

18 Quart of Sparkling water need to mix with 9 quart grape juice

2) From solution of 1 ,

   For 18 quart of Sparkling water , grape juice require = 9 quart

   So for 1 quart of Sparkling water , grape juice require = 9÷18 = 1/2 Quart

   so for 15/4 quart of Sparkling water ,  grape juice require = 1/2 × 15/4 =

15/2  Quart of grape juice required for 15/4 quarts of sparkling water.

3)

in 1 we calculated that 18 Quart of Sparkling water need to mix with 9 quart grape juice that is 2 quart of Sparkling water need to mix with 1 quart of grape juice.

In other words 1 quart of grape juice + 2 quart of sparkling water is 3 quart of punch.

Quantity of Grape juice in 3 quart of punch = 1 quart

so quantity of grape juice in 1 quart of punch = 1/3 quart

And quantity of grape juice in 100 quart of punch = 100×(1/3) = 100/3 =

33 1/3

Quantity of sparkling water in 3 quart of punch = 2 quart

so quantity of sparkling water  in 1 quart of punch = 2/3 quart

And quantity of sparkling water  in 100 quart of punch = 100 ×2/3 quart = 66 2/3


 


     


3 0
3 years ago
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GrogVix [38]

Answer:

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7 0
3 years ago
Factor. 4x2−49y2 Enter your answer in the box.
Makovka662 [10]
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4 0
3 years ago
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An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 280 engines
DENIUS [597]

Answer:

The value of the test statistic is t = -2.09

Step-by-step explanation:

The null hypothesis is:

H_{0} = 6.6

The alternate hypotesis is:

H_{1} \neq 6.6

Our test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation(square roof of the variance) and n is the size of the sample.

In this problem, we have that:

X = 6.5, \mu = 6.6, \sigma = \sqrt{0.64} = 0.8, n = 280

So

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{6.5 - 6.6}{\frac{0.8}{\sqrt{280}}}

t = -2.09

The value of the test statistic is t = -2.09

4 0
3 years ago
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