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Scrat [10]
2 years ago
11

Can someone help i don't understand this

Mathematics
1 answer:
Fantom [35]2 years ago
8 0
A) h = 2sqrt2 because for a 45-45-90 triangle both legs have the same measurement and to find the hypotenuse, you would multiply the leg by square root of 2.

b) d = sqrt3 because in order to find the short leg for a 30-60-90 triangle, you would need to divide your long leg by a square root of 3 (if you have the hypotenuse and wanted to find the short leg, divide the hypotenuse by 2).
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Which is the same as dividing a number by 1000
xz_007 [3.2K]

Answer:

multiplying by 0.001

Step-by-step explanation:

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2 years ago
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Find the value of x. <br> m27 = 2x + 18 and 2B
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<h2>45</h2><h2>___________________________________</h2>

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Solve the system of linear equations by substituting. Check your solution
Ghella [55]
QUESTION 4

The given system of linear equations are,

y = 5x - 7...(1)

and

- 3x - 2y = - 12...(2)

We put equation (1) into equation (2) to obtain,

- 3x - 2(5x - 7) = - 12

We expand to get,

- 3x - 10x + 14 = - 12

Group like terms to get,

- 3x - 10x = - 12 - 14

Simplify to get,

- 13x = - 26

Divide both sides by -13 to get,

x = 2

Put the value of x into equation (1) to get,

y = 5(2) - 7

y = 10 - 7 = 3

The solution is

x = 2 \: \: and \: \: = 3

QUESTION 5

The given system of linear equations are

-4x+y=6....(1)
and

-5x-y=21...(2)

We make y the subject in equation (1) to get,

y = 4x + 6....(3)

Put equation (3) into equation (2) to get,

- 5x - (4x + 6) = 21

We expand to get,

- 5x - 4x - 6 =21

We group like terms to get,

- 5x - 4x = 21 + 6

This implies that,

- 9x = 27

We divide both sides by -9 to get,

x = - 3

Put the value of x in to equation 3 to get,

y = 4( - 3) + 6

y = - 12 + 6 = - 6

Therefore the solution is

x = - 3 \: and \: y = - 6

QUESTION 6

The given equations are,

-7x-2y=-13...(1)

and

x-2y=-13...(2)

Make x the subject in equation (2) to get,

x = 2y - 13...(3)

Put equation (3) into equation (1) to get,
- 7(2y - 13) - 2y = - 13

We expand to get,

- 14y + 91 - 2y = - 13

We group like terms to obtain,

- 14y - 2y = - 13 - 91

.Simplify to get,

- 16y = - 104

Divide through by -16 to get,

y = \frac{13}{2}

Put the value of y into equation (3) to get,

x = 2( \frac{13}{2} ) - 13

x = 13 - 13 = 0

Therefore

x = 0 \: and \: y = \frac{13}{2}
8 0
2 years ago
Ellen thinks that if a line has no slope, then it never touches the y-axis. Which line proves that her statement is incorrect?
Fiesta28 [93]
Y=1






Y=1 because then it is saying that the line is touching the y axes at 1
5 0
3 years ago
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Based on the sample of n = 25 healthy-weight students, can you conclude that healthy-weight students eat significantly fewer fat
Elis [28]

Answer:

z = -1.645

Step-by-step explanation:

b) n =25, M = 4.01 , \mu = 4.22 , \sigma = 0.60 , \alpha= 0.05

The hypothesis are given by,

H0 : \mu\geq 4.22 v/s H1 : \mu < 4.22

The test statistic is given by,

Check attachment for the formula that should br here.

z = \frac{4.01- 4.22 }{0.60 /\sqrt{25}}

= -1.75

The critical value of z = -1.645

The calculated value z > The critical value of z

Hence we reject null hypothesis.

The healthy-weight students eat significantly fewer fatty, sugary snacks than the overall population.

8 0
2 years ago
Read 2 more answers
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