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2 years ago

12

Grogg says that if you square a number then square eoot it, he will always end up with the same number he started with. Is this

correct? Why or Why not?

1 answer:

bekas [8.4K]2 years ago

3 0

Answer:

Yes

Step-by-step explanation:

Given a number, a

Square of number = a²

Square root of number = √a² = a

Assume a = 4

The square of 4 = 4² = 16

The square root of 16 = √16 = 4

Hence, Grogg is correct

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Given triangle DEF where ∠D = (7b +1)∘, ∠E = (2b + 1)∘, and ∠F = ( b + 8)∘. What is the measure of ∠E?

____ [38]

<h3>Answer: 35 (choice C)</h3>

=============================================

Explanation:

For any triangle, the three interior angles always add to 180.

D+E+F = 180

(7b+1) + (2b+1) + (b+8) = 180

(7b+2b+b) + (1+1+8) = 180

10b+10 = 180

10b = 180-10

10b = 170

b = 170/10

b = 17

Use this value of b to find the three angle measures

D = 7b+1 = 7*17+1 = 119+1 = 120
E = 2b+1 = 2*17+1 = 34+1 = 35 degrees
F = b+8 = 17+8 = 25

As a check,

D+E+F = 120+35+25 = 120+60 = 180

which helps confirm the correct answers.

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2 years ago

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Nata [24]

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2 years ago

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How Many Pumpkins Did Kate Sell This Weekend

gtnhenbr [62]

Answer:

60 pumpkins

Step-by-step explanation:

Saturday, she sold 6*7 pumpkins. That's 42 pumpkins.

Sunday, she sold 6*3 pumpkins. That's 18 pumpkins.

42+18=60

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3 years ago

Suppose 15% of x equals 20% of y. What percentage of x is y ?

WINSTONCH [101]

Answer:

x = $133\frac{1}{3}$ of y

Step-by-step explanation:

Given:

15% of x equals 20% of y

So,

0.15x = 0.20y

so

x = 0.20 y / 0.15

x = 1.3333y

x = $133\frac{1}{3}$ of y

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2 years ago

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the density of a certain material is such that weighs 6900 grams for every 4.5 quarts of volume express this density in pounds p

dlinn [17]

Answer:

$d=101.4\ \text{pounds}/\text{feet}^3$

Step-by-step explanation:

Given that,

Mass of material, m = 6900 grams

Volume of the material, V = 4.5 quarts

We need to find the density in pounds per cubic foot

We know that,

1 pound = 453.59 grams

⇒ 6900 grams = 15.21 pounds

Also, 1 cubic foot = 29.92 quarts

4.5 quart = 0.15 feet³

Density = mass/volume

Or

$d=\dfrac{15.21\ \text{pounds}}{0.15\ \text{feet}^3}\\\\d=101.4\ \text{pounds}/\text{feet}^3$

Hence, the density of the material is $101.4\ \text{pounds}/\text{feet}^3$

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3 years ago