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2 years ago

Please help this is the last problem I need

Mathematics

1 answer:

tangare [24]2 years ago

8 0

Answer:

$sin 54 = \frac{x}{14}$

Step-by-step explanation:

$sine = \frac{opposite}{hypotenuse}$

Side z is the adjacent, since it is next to the angle you are solving for.

Side x is the opposite, since it is opposite the angle you are solving for.

The side measuring 14 is the hypotenuse, since it is across from the right angle.

$sin 54 = \frac{x}{14}$

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You invest $500 in an account that has a annual interest rate of 5%, compounded quarterly for four years. What is the equivalent

posledela

Answer:

1.25% and 16 times

Step-by-step explanation:

Since the interest is compounded quarterly it will be compounded 4 times a year. So 4 x 4 is 16, so it will be compounded 16 times.

Then you have to divide the 5% by four to get how much will be compounded each quarter. So, (0.05 / 4) = 0.0125, which is 1.25%.

3 0

3 years ago

Find the value of x.

slavikrds [6]

Answer:

$x=11$

Step-by-step explanation:

we know that

The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.

In this problem

$(x+5)=\frac{1}{2}(3x-1)$

solve for x

Multiply by 2 both sides

$2x+10=3x-1$

subtract 2x both sides

$10=3x-1-2x$

$10=x-1$

Adds 1 both sides

$x=11$

3 0

2 years ago

An angle measured 10 degrees less than the measure of its complementary angle. Find the measure of both angles

Mazyrski [523]

Answer:

The measure of the angles are 40 degrees and 50 degrees

Step-by-step explanation:

Let

x ----> the measure of one angle in degrees

y ----> the measure of the complementary angle in degrees

we know that

If two angles are complementary, then their sum is equal to 90 degrees

$x+y=90$ ----> equation A

we have that

$x=y-10$ ----> equation B

Substitute equation B in equation A and solve for y

$(y-10)+y=90\\2y-10=90\\2y=100\\y=50$

Find the value of x

$x=50-10=40$

therefore

The measure of the angles are 40 degrees and 50 degrees

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3 years ago

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What is the "in" for in your equation? Repost.

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2 years ago

What is the absolute value of -5

vladimir2022 [97]

The absolute value of 2 + 7 is 5.

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3 years ago

Read 2 more answers