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3 years ago

Please help!! Help would be very much appreciated

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

5 0

Area of a circle = (pi)(radius squared)

Find the area of the larger circle, then find the area of the smaller circle and then subtract the difference.

Larger Circle:
A=(3.142)(5cm)2
A=(3.142)(25)
A=78.55

Smaller Circle:
A=(3.142)(2)2
A=(3.142)(4)
A=12.57

Subtract difference between the 2:

78.55-12.57= 65.98 cm is the area of the shaded portion

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When 36 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

Sloan [31]

Answer:

n = -4

Step-by-step explanation:

If we subtract 36 from the square of that number, X^2 - 36 ...

The result is equal to 5 times the number, 5X

Therefore,

X^2 - 36 = 5X

You've probably seen this solved by putting the equation in the form:

aX^2 - bX - c = 0

Doing that here, we subtract 5X from both sides to make the right side of the equation equal to zero.

X^2 - 5X - 36 = 0

Now we need to factor this.

(X _ _ )(X _ _ ) = 0 (where _ denotes an operator or term that we need.)

Looking at the operators, we see that the operands are different, so

(X - _ )(X + _ ) = 0 (we have operator, need term.)

Now we need to find two factors of 36 whose difference is 5. So let's try a few:

36 = 6 X 6 Nope

36 = 12 X 3 Nope

36 = 9 X 4 Yup!

Since the middle term is negative, we know the placement of the 9 and 4.

(X-9)(X+4)= 0

Therefore, X-9=0 or X+4=0

X-9=0 => X=9

X+4=0 => X=-4

Going back to the original problem, it says "Find the negative solution."

Therefore, X=-4.

Let's check:

(-4)^2-36 = 5*(-4)

16-36 = -20

-20=-20 Check!

3 0

4 years ago

The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol

Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is $\frac{7}{10}$

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is $\frac{343}{1,000}$

Part c) The volume of the smaller pyramid is $4,116\ m^{3}$

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid

$z=\frac{x}{y}$

substitute the values

$z=\frac{21}{30}$

Simplify

$z=\frac{7}{10}$ -----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

substitute

$\frac{7}{10}^{3}=\frac{x}{y}$

Rewrite

$\frac{x}{y}=\frac{343}{1,000}$ -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

$y=12,000\ m^{3}$

substitute the values and solve for x

$(\frac{7}{10})^{3}=\frac{x}{12,000}$

$x=\frac{343}{1,000}(12,000)=4,116\ m^{3}$

8 0

3 years ago

kylee has a coin and a number cube. she flips the coin once and rolls the number cube once. what is the probability that the coi

IceJOKER [234]

Answer:

flip the coin again

Step-by-step explanation:

cuz yes pp poopie

7 0

3 years ago

Alexis has the following grades in his math class: Homework grades: 80, 100, 90, Quiz grades: 84, 90, 72, Test grades: 64, 72. I

vitfil [10]

Answer:

Step-by-step explanation:

Average is the sum of all the numbers divided by the number of numbers.

We will take average of Quizzes, Homeworks, and Tests. And multiply that by respective weights and find the weighted average of the 90%.

Quiz Avg:

(84+90+72)/3 = 82

Homework Avg:

(80 + 100 + 90)/3 = 90

Test Avg:

(64+72)/2 = 68

Now, weighted avg = $\frac{90(0.1)+82(0.2)+68(0.6)}{0.9}=73.55$

Rounding it off, we get "74", the correct answer.

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4 years ago

QUESTION 19 PLEASE HELP ME ASAP

BARSIC [14]

Answer:

changes over time

Step-by-step explanation: its going up not staying at one spot

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3 years ago