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3 years ago

an angle measures 27.4 more than the measure of its complementary angle what is the measure of each angle

Mathematics

1 answer:

Arisa [49]3 years ago

3 0

Hello!

To solve, we can set up an algebraic expression.

Complementary angles add up to 90°, and in this instance, one angle is 27.4° more than the other. Therefore:

∠1 = x

∠2 = x + 27.4°

∠1 + ∠2 = 90°

x + (x + 27.4°) = 90°

Combine like terms:

2x + 27.4° = 90°

Subtract 27.4 from both sides:

2x = 62.6°

Divide both sides by 2:

x = 31.3°

Therefore, one of the angles is 31.3°. Solve for the measure of the other angle:

(31.3°) + 27.4° = 58.7°

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5 0

3 years ago

Find the value of x.

Irina-Kira [14]

The 2 angles are complementary angles and need to equal 90 degrees.

Making an equation we have:

4x-10 + x = 90 degrees

Add like tems:
4x +x = 5x

Now we have:
5x-10 = 90

Add 10 to both sides:

5x = 100

Divide both sides by 5:

x = 100/5

X = 20

5 0

3 years ago

Read 2 more answers

A clock was reading the time accurately on Friday at noon. On Monday at 6pm the clock was running late by 468 seconds. On averag

Setler [38]

The clock was skipping 3 seconds every 30 minutes from Friday noon to Monday 6 pm.

The clock was still accurate by Friday noon. The clock was late by 468 seconds by Monday, 6 pm.

To solve the problem, we must:

Know how many 30-minutes have passed during the time period.

1 day = 24 hours

1 hour = 60 minutes = 2 × (30 minutes)

1 day = 24 hours × 2 × (30 minutes)

1 day = 48 × (30 minutes)

Thus, there are 48, 30-minutes in a day. On Friday, however, we start counting at noon, which is half of the day. Moreover, on Monday, the mark is only up to 6 pm, which is three-fourths of the day.

Friday = 48 × $\frac{1}{2}$ = 24

Saturday = 48

Sunday = 48

Monday = 48 × $\frac{3}{4}$ = 36

TOTAL = 24 + 48 + 48 + 36 = 156

Therefore, the total number of 30-minutes that have passed is 156. There were 156, 30-minutes that passed during the time period.

Divide the number of total seconds late by the number of 30-minutes passed.

That is, the number of total seconds late= 468 seconds ÷ 156

= 3 seconds

Therefore, the clock was skipping 3 seconds every 30 minutes from Friday noon to Monday 6 pm.

To learn more about clock problems visit:

brainly.com/question/27122093.

#SPJ1

3 0

2 years ago

Suppose that you buy a two-year 8% bond at its face value.

Juliette [100K]

Answer:

Real Rate of Return = 4.9% and Nominal rate = 0.08 or 8%

Real Rate of Return = 2.9% and Nominal rate = 0.081 or 8.1%

real rate = 5 % and Nominal rate = 0.0815 or 8.15%

real rate = 3% and Nominal rate = 0.0815 or 8.15%

Step-by-step explanation:

given data

time period = 2 year

Coupon rate = 8% = 0.08

Inflation rate 1st year = 3% = 0.03

Inflation rate 2nd year = 5% = 0.05

solution

we get here Real Rate of Return that is express as

Real Rate of Return = (Coupon Rate - Inflation rate) ÷ (1+Inflation rate) .........1

so that here 1st year Real return will be

Real Rate of Return = (0.08 - 0.03) ÷ (1+0.03)

solve it we get

Real Rate of Return = 4.9%

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate) ............2

(1 + nominal rate) = (1 + 0.049) × (1 + 0.03)

Nominal rate = 0.08 or 8%

and

for 2nd year Real return will be

Real Rate of Return = (0.08 - 0.05) ÷ (1+0.05)

solve it

Real Rate of Return = 2.9%

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate) ............3

(1 + nominal rate) = (1 + 0.029) × (1 + 0.05)

Nominal rate = 0.081 or 8.1%

and

now for the bond Treasury Inflation-Protected Securities, we get real and nominal return that is

for 1st year

Real rate = Coupon rate - Inflation ...............4

Real rate = 0.08 - 0.03

real rate = 0.05

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate) ................5

(1 + nominal rate) = (1 + 0.05) × (1 + 0.03)

Nominal rate = 0.0815 or 8.15%

and for 2nd years it will be

Real rate = Coupon rate - Inflation ....................6

Real rate = 0.08 - 0.05

real rate = 0.03

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate) ...................7

(1 + nominal rate) = (1 + 0.03) × (1 + 0.05)

Nominal rate = 0.0815 or 8.15%

4 0

3 years ago

Either my brain is straight up goneskiis or I need assistance.

olga nikolaevna [1]

The answer is C. 89 in^2

This is found by (1/2( $\pi r^{2}$ ))+70

r in this equation stands for radius which is half the diameter. Sice the diameter equals 7, the radius equals 3.5

You have to solve this by putting it into a calculator since you can't really solve for an equation with pi in it otherwise.

Hope this helps!

4 0

3 years ago