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3 years ago

3 times the measure of an angle is 14 less than the measure of its complement. What is the measure of the angle?

1 answer:

7 0

Let the measure of the angle be x and from that the measure of its complement is 90 - x. The equation that best represent the given condition above is,
3x = (90 - x) - 14
The value of x from the equation above is 19. Thus, the answer is letter A.

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5 0 = - in = in quadrant II Given cos = Find sin 3

____ [38]

Answer:

sinΘ = $\frac{2}{3}$

Step-by-step explanation:

using the identity

sin²x + cos²x = 1 ( subtract cos²x from both sides )

sin²x = 1 - cos²x ( take square root of both sides )

sinx = ± $\sqrt{1-cos^2x}$

given

cosΘ = - $\frac{\sqrt{5} }{3}$ , then

sinΘ = ± $\sqrt{1-(-\frac{\sqrt{5} }{3})^2 }$

= ± $\sqrt{1-\frac{5}{9} }$

= ± $\sqrt{\frac{4}{9} }$

= ± $\frac{2}{3}$

since Θ is in quadrant II where sinΘ > 0 , then

sinΘ = $\frac{2}{3}$

7 0

2 years ago

A student has taken 5 quizzes. She would like to have at least 90% average. What must her fifth score be to achieve her goal?

Brut [27]

Answer:

she needs 96 in the fifth quiz

7 0

2 years ago

Julie and Brian are financing $245,000 to purchase a house. they obtained a 30/5 balloon mortgage at 5.25%. What will their ball

balandron [24]

This question had the following choices:
A) $223,884.91
B) $226,753.98
C) $229,679.66
D) $234,068.73

I used the Online Balloon Payment Loan Calculator and got this amount $226,753.92. This is nearest to Choice B.

For manual computation, use this formula in the 2nd attachment.

6 0

3 years ago

What is the area of this figure?

Alexxandr [17]

Answer:

The area of the figure is equal to $35\ cm^{2}$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of the figure is equal to the area of a square plus the area of a triangle

Find the area of the square

The area of square is equal to

$A=b^{2} =5^{2}=25\ cm^{2}$

Find the area of the triangle

The area of the triangle is equal to

$A=(1/2)bh=(1/2)(5)(4)=10\ cm^{2}$

therefore

The area of the figure is equal to

$25\ cm^{2}+10\ cm^{2}=35\ cm^{2}$

5 0

2 years ago

In an election, Mr. Jones received 70% of the 1,500 votes cast. How many votes did Mr. Jones receive?

Len [333]

Given situation: Mr. jones received 70% of the 1500 vote casts in an election Question and solution => How many votes did Mr Jones received: => 1 500 is the total number of voters and 70% of it voted Mr. Jones. SO let’s start solving to get the number of voters who voted him. => 70% = 70 / 100 = .70 => 1 500 * .70 => 1 050 , the number of voters who voted him in an election.

3 0

3 years ago

Read 2 more answers