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zzz [600]
3 years ago
14

Find the missing length of the triangles.

Mathematics
2 answers:
slega [8]3 years ago
5 0

They are both right triangles so we can use the Pythagorean

theorem to solve.

6. B = sqrt(15^2-9^2)

B = 12 mm

7. B = sqrt(26^2-10^2)

B = 24 Cm

fiasKO [112]3 years ago
3 0

Answer:

6) b = 12mm

7) b = 24cm

Step-by-step explanation:

6) To find b, you will subtract the square root of the square of 9mm from the square of 15mm

i.e. b = \sqrt{(15mm)^{2} - (9mm)^{2}  }

b = \sqrt{225mm^{2} - 81mm^{2}  }

b = \sqrt{144mm^{2} }

b = 12mm

7) To find b, you subtract the square root of the square of 10cm from the square of 26cm

i.e. b = \sqrt{(26cm)^{2} - (10cm)^{2} }

b = \sqrt{676cm^{2} - 100cm^{2}  }

b = \sqrt{576cm^{2} }

b = 24cm

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Does increase in sample size increases degrees of freedom for t-tests.
Elena-2011 [213]
Basically degrees of freedom are related to sample size (n-1). If the df increases, it also stands that the sample size is increasing; the graph of the t-distribution will have skinnier tails, pushing the critical value towards the mean.
3 0
3 years ago
Solve each quadratic equation. Show your work 15. x2 + 3x = 10
OLEGan [10]
X² + 3x = 10

Convert to standard form.
x² + 3x - 10 = 0

factor x² = x * x
factor -10 = 5 * -2

(x + 5) (x - 2) = 0
x(x -2) + 5(x-2) = 0
x² - 2x + 5x - 10 = 0
x² + 3x - 10 = 0

x + 5 = 0               x² + 3x = 10
x = -5               -5² + 3(-5) = 10
                              25 - 15 = 10
                                     10 = 10

x - 2 = 0            x² + 3x = 10
x = 2               2² + 3(2) = 10
                             4 + 6 = 10
                                 10 = 10
4 0
3 years ago
Read 2 more answers
Which team has the best winning percentage?
pentagon [3]

Answer: A)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Can someone help please
finlep [7]

Answer:

x=7 y=3

Step-by-step explanation:

-x+6y=11

2x-3y=5

-2x+12y=22

2x-3y=5

Add both equations

-2x+2x-3y+12=22+5

9y=27

y=3

plug y back in

-x+18=11

-x=-7

x=7

3 0
2 years ago
Jada solved the equation Negative StartFraction 4 over 9 EndFraction = StartFraction x over 108 EndFraction for x using the step
GalinKa [24]

Answer:

Jada should have multiplied both sides of the equation by 108.

Step-by-step explanation:

The question is incomplete. Find the complete question in the comment section.

Given the equation -4/9 = x/108, in order to determine Jada's error, we need to solve in our own way as shown:

Step 1: Multiply both sides of the equation by -9/4 as shown:

-4/9 × -9/4 = x/108 × -9/4

-36/-36 = -9x/432

1 = -9x/432

1 = -x/48

Cross multiplying

48 = -x

x = -48

It can also be solved like this:

Given -4/9 = x/108

Multiply both sides by 108 to have:

-4/9 * 108 = x/108 * 108

-4/9 * 108 = 108x/108

-432/9 = x

x = -48

Jada should have simply follow the second calculation by multiplying both sides of the equation by 108 as shown.

7 0
3 years ago
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