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ZanzabumX [31]
3 years ago
13

Can the ratio 75 to 90 be simplified? If so, what is the simplified ratio?

Mathematics
1 answer:
Alina [70]3 years ago
6 0
75:90
15:18
5:6 is the simplified of 75:90
  
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Which statements about finding the area of the equilateral triangle are true? Check all that apply.
lara31 [8.8K]

Answer:

The correct options are 1, 2 and 4.

Step-by-step explanation:

The given triangle is an equilateral triangle. All the sides of an equilateral triangle are same. All interior angles are equal with measure 60 degree.

The distance from the center of an equilateral triangle to the midpoint of a side is known as apothem. In the given figure letter a represents the apothem.

Point D is the midpoint of BC,

b=\frac{BC}{2}=\frac{8.7}{2}=4.35

Use Pythagorean theorem in triangle COD. So, option 1 is correct.

OC^2=OD^2+DC^2

5^2=a^2+(4.35)^2

25=a^2+18.9225

a=\pm 2.46526

a\approx\pm 2.5

The distance can not be negative, so the length of the apothem is approximately 2.5 cm. Option 4 is correct.

The line OC bisects the angle C.

tan(30^{\circ})=\frac{a}{b}

\frac{1}{\sqrt{3}=\frac{a}{4.35}

a\approx\pm 2.5

Therefore option 2 is correct.

The perimeter of an equality triangle is

P=3a=3(8.7)=26.1

Option 3 is incorrect.

A=\frac{\sqrt{3}}{4}a^2=\frac{\sqrt{3}}{4}(8.7)^2=32.77

Option 5 is incorrect.

Therefore options 1, 2 and 4 are correct.

3 0
3 years ago
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The height of a model rocket, H(t), is a function of the time since it was<br> launched, t.
laiz [17]
I believe its either A or C
7 0
3 years ago
If the outliers are not included, what is the mean of the data set?
luda_lava [24]
The mean of the numbers is c. 67
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3 years ago
Assuming that a soap bubble is a perfect sphere, what is the diameter of a bubble containing 1,000 cm3 of air? Round to the near
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Answer:

17.85 cm

Step-by-step explanation:

1) Area of a sphere formula: A=4\pi r^{2}

2) Plug in A: 1000 = 4\pi r^{2}

3) Simplify: 1000 = 12.56r^{2}

4) Divide Each Side By 12.56: 79.61783439 = r^{2}

5) Take the Square Root of 79.61783439 to Solve for r: 8.922882628 = r

6) Double r to get the diameter: 8.922882628*2= 17.84576486

7) Round to the Nearest Tenth: 17.85 cm

8 0
3 years ago
It takes you 1 minute 40 seconds to walk 550 feet. What is your average speed?
erica [24]

Answer:

5.5 feet per second or 330 feet per minute

Step-by-step explanation:

550/100 seconds = 5.5 feet per second  

5.5 x 60 = 330 feet per minute

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