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borishaifa [10]
3 years ago
11

Need help ASAP !!! And show work please

Mathematics
1 answer:
sammy [17]3 years ago
6 0

Answer:

\sqrt{40} or 6.32

Step-by-step explanation:

We can find the distance between two points by using this formula

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

where the x and y values are derived from the given points

The points given are ( -2 , 5 ) and ( 4 , 3 )

So we plug in the x and y values of those coordinates into the distance formula

\sqrt{(4-(-2)^2+(3-5)^2} \\4-(-2)=6\\3-5=-2\\d=\sqrt{6^2+-2^2} \\6^2=36\\-2^2=4\\36+4=40\\d=\sqrt{40}

or 6.32

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GREYUIT [131]

Question 7: Option 1:  x = 33.5°

Question 8: Option 3: x = 14.0°

Step-by-step explanation:

<u>Question 7:</u>

In the given figure, the value of perpendicular and hypotenuse is given, so we have to use any trigonometric ratio to find the value of angle as the given triangle is a right-angled triangle

So,

Perpendicular = P = 32

Hypotenuse = H = 58

So,

sin\ x = \frac{P}{H}\\sin\ x = \frac{32}{58}\\sin\ x = 0.5517\\x = sin^{-1} ( 0.5517)\\x =33.48

Rounding off to nearest tenth

x = 33.5°

<u>Question 8:</u>

In the given figure, the value of Base and Perpendicular is given, we will use tangent trigonometric ratio to find the value of x

So,

Perpendicular = P = 5

Base = B = 20

So,

tan\ x = \frac{P}{B}\\tan\ x = \frac{5}{20}\\tan\ x = 0.25\\x = tan^{-1} (0.25)\\x = 14.036

Rounding off to nearest tenth

x = 14.0°

Keywords: Right-angled triangle, trigonometric ratios

Learn more about trigonometric ratios at:

  • brainly.com/question/909731
  • brainly.com/question/902892

#LearnwithBrainly

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3 years ago
Solve the following system of equations.
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Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 20. Find the prob
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Answer:

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Step-by-step explanation:

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So, let's use the formula of z-score

z=\frac{x-mean}{SD}

For this problem,

x= 136

Plug in this value into the formula

z-score=\frac{136-100}{20}

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Now, use z-score table to find the probability

Find the corresponding value for the row 1.8 and the column 0.00, we do get 0.9641

So, Randomly selected adult has an IQ less than 136 is 0.9641

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3 years ago
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Naily [24]

Answer:

Hey there!

You're answer is 1/20.

Step-by-step explanation:

If Mrs. Williams has 1/4 gallon of juice, 1/4 divided by 5 = 1/20.

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