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AfilCa [17]
3 years ago
9

What is the minimum number of degrees that an equilateral triangle can be rotated before it carries onto itself?

Mathematics
2 answers:
mash [69]3 years ago
7 0
Since the triangle has equal sides it will carry onto it self at 120, since it can rotate 360 grades only and it has 3 sides so it will rotate in one third of 360 so 120

i hope i helped you
kondaur [170]3 years ago
4 0

Answer:

Minimum umber of degrees that an equilateral triangle can be rotated before it carries onto itself = 120°

Step-by-step explanation:

Refer the figure given below.

We need to find angle ADC to get the same equilateral triangle after rotation.

∠ADC = 180 - ( ∠DAC + ∠DCA) = 180 - ∠DAC - ∠DCA

∠DAC = ∠DCA = 0.5 x 60 = 30°

Substituting

 ∠ADC = 180 - 30- 30 = 180 - 60 = 120°

Minimum umber of degrees that an equilateral triangle can be rotated before it carries onto itself = 120°

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Suppose $1750 is put into an account that pays an annual rate of 4.5%
Yanka [14]

Answer:

The amount in the account after six years is $2,288.98

Step-by-step explanation:

In this question, we are asked to calculate the amount that will be in an account that has a principal that is compounded quarterly.

To calculate this amount, we use the formula below

A = P(1+r/n)^nt

Where P is the amount deposited which is $1,750

r is the rate which is 4.5% = 4.5/100 = 0.045

t is the number of years which is 6 years

n is the number of times per year, the interest is compounded which is 4(quarterly means every 3 months)

we plug these values into the equation

A = 1750( 1 + 0.045/4)^(4 * 6)

A = 1750( 1 + 0.01125)^24

A = 1750( 1.01125)^24

A = 2,288.98

The amount in the account after 6 years is $2,288.98

6 0
3 years ago
What is 96 divided by 1.5
Mamont248 [21]
64

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3 0
3 years ago
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In 1970, the average length of a major league baseball game was 150 minutes compared to 180 minutes in 2018. Calculate the absol
Pavlova-9 [17]

Answer:

  • 30 min
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Step-by-step explanation:

The absolute change in game length is ...

  (180 min) -(150 min) = 30 min . . . . change in game length

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The relative change is expressed as a fraction of the original game length:

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6 0
3 years ago
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Tema [17]

Answer:

B) ∠z = 40°

Step-by-step explanation:

<u>All three angles of a triangle add up to 180°</u>. In this image, you can see that the angle ∠ACD is 130°. Because ∠ACB and ∠ACD are supplementary angles it means that their angles equal 180° when added together.

If ∠ADC = 130° then:

180° - 130° = 50°

Since we now know that ∠ACB is 50°, we can subtract our two angles from 180° to get the measurement for angle z.

180° - 50° - 90° =

180° - 140° = 40°

~Hope this helps!~

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3 years ago
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Eduardwww [97]
Sandra did not get enough points.

They needed 15, but got 22 and a -8 as well.
So 22-8 = 14

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4 0
3 years ago
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