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3 years ago

What is the length of x

Mathematics

1 answer:

Nat2105 [25]3 years ago

5 0

Answer:

10 is your answer

Step-by-step explanation:

Note that the side given to us has a measurement of 5 for one of the legs of the isosceles.

This means that the 1 side on the 30-60-90 triangle has a measurement of 5.

Now, note the measurements of the triangle sides for a 30-60-90 triangle. They measure at: 1 , √3 , 2.

the side 1 is given to us, at 5. You are solving for the hypothenuse (2). Multiply 2 to the side 1

5 * 2 = 10

10 is your answer

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a right trangle has one angle that measures 70 what is the measure of the other acute angle in the triangle

inna [77]

Answer:

Step-by-step explanation:

We know that the interior angle measures of a triangle are 180, and we are told that this is a right triangle.

Since we know the measure of two angles, we just have to do basic math:

180=90+70+x

solve for x (which equals 20) to get the measure of your acute angle

3 0

3 years ago

What is the answer to this question?

AfilCa [17]

The answer should be B.

4 0

3 years ago

This is due tomorrow and i have answers but i think ive done it wrong! please help

Eva8 [605]

Answer: i) 1 - 9x² - 12x

ii) 17 - 3x²

iii) - 20 + 10x² - x⁴

Step-by-step explanation:

g(x) = 3x + 2 h(x) = 5 - x²

i) h(g(x))

h(3x + 2) = 5 - (3x + 2)²

= 5 - (9x² + 12x + 4)

= 5 - 9x² - 12x - 4

= 1 - 9x² - 12x

ii) g(h(x))

g(5 - x²) = 3(5 - x²) + 2

= 15 - 3x² + 2

= 17 - 3x²

iii) h(h(x))

h(5 - x²) = 5 - (5 - x²)²

= 5 - (25 - 10x² + x⁴)

= 5 - 25 + 10x² - x⁴

= -20 + 10x² - x⁴

4 0

3 years ago

At the Foremost State Bank the average savings account balance in 2012 was $1900. A random sample of 45 savings account balanes

lakkis [162]

Answer:

The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step-by-step explanation:

Step(i):-

Mean of the Population = 1900

Given random sample size 'n' = 45

Mean of the sample x⁻ = 1000

Standard deviation of the sample = 225

Null Hypothesis:-

There is no difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012.

Alternative Hypothesis :-

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step(ii):-

Test statistic

$t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$t = \frac{1000-1900 }{\frac{225}{\sqrt{45} } }$

t = -900 /33.54 = -26.517

|t| = |-26.517|=26.517

Degrees of freedom

γ = n-1 = 45-1 =44

t₍₀.₀₁ , ₄₄₎ = 2.326

The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

4 0

3 years ago

Which equation represents the number of hours he runs each week?

liubo4ka [24]

G is incorrect the correct answer is j for many reasons

5 0

3 years ago