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2 years ago

An angle measures 18.6° less than the measure of its complementary angle. What is the measure of each angle?

Mathematics

1 answer:

weeeeeb [17]2 years ago

6 0

Answer:

X = 35.7 Y=54.3

Step-by-step explanation:

Let the 2 angles be called X and Y were X is the smaller angle

we know that both angles are complementary therefore
X+Y=90

X = Y - 18.6 ( Given )

Y - 18.6 + Y = 90 ( substitution)

2Y = 90 + 18.6

Y = 108.6/2

Y=54.3

X= Y-18.6= 54.3-18.6 = 35.7

Check : X + Y = 35.7+54.3=90

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Order these numbers from least to greatest: 1.05, 0.95, 0.75, 1.01

Andru [333]

Answer:

0.75 0.95 1.01 1.05

Step-by-step explanation:

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3 years ago

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Rewrite factors into a quadratic form. (m + 2)(m – 5)

bonufazy [111]

Answer:

m² - 3m - 10

Steps:

(m + 2)(m – 5) = m² - 5m + 2m - 10

(m + 2)(m – 5) = m² - 3m - 10

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3 years ago

The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT) for the school's in-state an

DedPeter [7]

Answer:

Step-by-step explanation:

The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

Where

x1 = sample mean score of in-state applicants

x2 = sample mean score of out -of-state applicants

s1 = sample standard deviation for in-state applicants

s2 = sample standard deviation for out-of-state applicants

n1 = number of in-state applicants

n1 = number of out-of-state applicants

For a 90% confidence interval, we would determine the z score from the t distribution table because the number of samples are small

Degree of freedom =

(n1 - 1) + (n2 - 1) = (17 - 1) + (10 - 1) = 25

z = 1.708

x1 - x2 = 1046 - 1118 = - 72

Margin of error = z√(s1²/n1 + s2²/n2) = 1.708√(37²/17 + 50²/10) = 31.052239

Confidence interval is - 72 ± 31.052239

7 0

3 years ago

The list price of a sofa is $2,525. The chain discount is 30/20. What is the final net price?

Sladkaya [172]

Answer:

1,414

Step-by-step explanation:

2,525 * ( 1 - 30% ) * ( 1 - 20%) = 2,525 *0.7*0.8 = 1,767.5 * 0.8 = 1,414

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3 years ago

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State the intervals for which the given quadratic is positive and when it is negative.

goblinko [34]

Answer:

Positive at (-9, 2)
Negative at ( -oo, -9) or (2, + oo)

Step-by-step explanation:

Given function

y= -2x^2 - 14x + 36

Getting zero's

-2x^2 - 14x + 36 = 0
x^2 + 7x - 18 = 0

x = ( -7 ± √(49 +72))/2 = ( -7 ± 11)/2
x = - 9 and x = 2

As the x^2 has negative coefficient, the function is positive between -9 and 2

- 9 < x < 2 or
(-9, 2)

And it is negative at:

x < -9 and
x > 2
or
( -oo, -9) or (2, + oo)

3 0

4 years ago