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3 years ago

The two triangles are similar. What is the scale factor from the smaller

Mathematics

1 answer:

Anit [1.1K]3 years ago

4 0

Answer:

The scale factor for the triangles (larger/smaller) = 6/2 = 3.

The area of the larger triangle equals the area of the smaller triangle times the square of the scale factor (32 = 9):

Area of Larger Triangle = Area of Smaller triangle * Scale Factor 2 = (3 cm2)*9 = 27 cm2.

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Simplify\:\sqrt[3]{27x^{15}}y^{24}

Free_Kalibri [48]

Answer:

$3x^{5}y^{24}$

Step-by-step explanation:

$\sqrt[3]{27x^{15}}y^{24} =$

$= \sqrt[3]{3^3x^{15}}y^{24}$

$= (3^3x^{15})^{\frac{1}{3}}y^{24}$

$= (3^3)^{\frac{1}{3}}(x^{15})^{\frac{1}{3}}y^{24}$

$= 3^{3 \times \frac{1}{3}}x^{15 \times \frac{1}{3}}y^{24}$

$= 3^1x^{5}y^{24}$

$= 3x^{5}y^{24}$

4 0

4 years ago

Write the next 4 terms in each pattern. Write each pattern rule. a) 12, 36, 84, 180, 372... Pattern Rule: b) 8, 12, 24, 60, 168.

tekilochka [14]

For a) the pattern rule goes 12+(12x2)=36 36+(12x4)=84

So the pattern rule is double the number and then times it by twelve to get to the next answer

5 0

4 years ago

An equation was created for the line of best fit from actual enrollment data. It was used to predict the dance studio enrollment

stealth61 [152]

Answer: First option is correct.

Step-by-step explanation:

Enrollment month Actual Predicted Residual

January 500 8 4

February 400 15 -1

March 550 15 -1

April 13 12 -1

May 16 17 -1

June 14 15 -1

Since we know that

Residual value = Actual value - Predicted value

Sum of residuals is given by

$4-1-1+1-1-1=1$

since we can see that sum of residual is more than 0.

So, it can't be a good fit .

Hence, No, the equation is not a good fit because the sum of the residuals is a large number.

Therefore, First option is correct.

6 0

3 years ago

Given the following formula, solve for a.

Elena L [17]

Answer:

A. a = 2s - b -c

Step-by-step explanation:

Rearrange the equation in a way that you have only a on one side. When solving equations you can add, subtract, multiply or divide by the same number/variable/expression on the both sides.

$s = \frac{a + b + c}{2}$

Multiply by 2 to get rid of the fraction.

$s \cdot 2 = \frac{a + b + c}{2} \cdot 2$

On the right side the 2 cancels out:

$s \cdot 2 = a + b + c$

On the right side next to a are still b and c. But we want a alone. Subtract b.

$s \cdot 2 - b = a + b + c - b$

b - b on right side gives 0.

$s \cdot 2 - b = a + c + 0$

The step above is usually skipped, because number + 0 = number.

$s \cdot 2 - b = a + c$

Next to a there is still c. Subtract c.

$s \cdot 2 - b - c = a + c - c$

c - c on the left is 0.

$s \cdot 2 - b - c = a$

So our answer is:

$s \cdot 2 - b - c = a$

It can be rewritten to (change sides):

$a = s \cdot 2 - b - c$

And s · 2 can be rewritten to 2s:

$a = 2s - b - c$

5 0

2 years ago

15 out of 50 students have pets at home. What percent of the students have pets at home?

Vitek1552 [10]

Answer:

7.5

Step-by-step explanation:

divide 15 and 50

8 0

3 years ago