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2 years ago

Use the the triangle.

Mathematics

1 answer:

KATRIN_1 [288]2 years ago

7 0

For a 45 45 90 triangle if the legs are x length then the hyptonuse is x√2

a.
7=x
so hyptonuse=7√2 in

b.
sin(45°)=(√2)/2

c.
not sure what you need SAS for
but, area=1/2 times base times height
base=height=7
area=1/2 times 7 times 7=24.5 square inches

d. not sure, same as above?

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12.4. Measure of Dispersion 2076 Q.No. 15 Find the standard deviation of: 4, 6, 8, 10, 12.

Alenkinab [10]

Answer:

Standard deviation of given data = 3.16227

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 5

Given data 4, 6,8,10,12

$Mean = \frac{4+6+8+10+12}{5} = 8$

Mean of the sample x⁻ = 8

Standard deviation of the sample

$S.D = \sqrt{\frac{Sum(x-x^{-} )^{2} }{n-1}}$

Step(ii):-

Given data

x : 4 6 8 10 12

x-x⁻ : 4 - 8 6-8 8-8 10-8 12-8

(x-x⁻) : -4 -2 0 2 4

(x-x⁻)² : 16 4 0 4 16

$S.D = \sqrt{\frac{Sum(x-x^{-} )^{2} }{n-1}}$

$S.D = \sqrt{\frac{16+4+0+4+16}{4}}$

S.D = √10 = 3.16227

Final answer:-

The standard deviation = 3.16227

8 0

2 years ago

Convert 22.625 into a fraction

VladimirAG [237]

Answer:

22 5/8

Step-by-step explanation:

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2 years ago

What are 3 like terms for -19m

Lyrx [107]

Answer:

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Step-by-step explanation:

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2 years ago

8 7 / 8 + 9 13 / 16 what is this in a mixed number.

FinnZ [79.3K]

Answer:

18 and 11/16

Step-by-step explanation:

I converted the two numbers into improper fractions which leaves me with

71/8+157/16

I thenn made sure I had common denominators, which means I need to multiply the first number by 2/2 and I'm left with:

142/16+157/16

I can now add the 2 numbers together and I get:

299/16

now we just need to convert the number into a mixed number by dividing, and I am left with:

18 and 11/16

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2 years ago

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olga nikolaevna [1]

Answer:

Choice A

Step-by-step explanation:

y-intercept = -3

double-checked on calculator

8 0

2 years ago