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suter [353]
3 years ago
9

Students at Westbrook middle school hold green team meetings to plan ways to help protect the environment. This week there are 1

44 members at the meeting which is 90% of the total group?
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
8 0

Answer:

160 members.

Step-by-step explanation:

Please consider the complete question.

Students at Westbrook Middle School hold green team meetings to plan ways to help  protect the environment. This week there are 144 members at the meeting, which is 90%  of the total group.  What is the total number of green team members?

Let x represent total number of green team members.

90% of total number of green team members would be \frac{90}{100}x=0.90x.

Now we will equate 90% of total number of green team members with 144 and solve for x as:

0.90x=144

\frac{0.90x}{0.90}=\frac{144}{0.90}

x=160

Therefore, the total number of green team members is 160.

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Neko [114]

Answer:

A)   A[p(t)] = 36πt²

B)   7234.56 square units

Step-by-step explanation:

               

<u>Given functions</u>:

\begin{cases}p(t)=6t \\ A(p)=\pi p^2 \end{cases}

<u>Part A</u>

To find the area of the circle of spilled paint as a function of time, substitute the function p(t) into the given function A(p):

\begin{aligned}A(p) & = \pi p^2\\\\ \implies A[p(t)] & = \pi [p(t)]^2\\& = \pi (6t)^2\\& = \pi 6^2 t^2\\& = 36\pi t^2\end{aligned}

<u>Part B</u>

Given

  • t = 8 minutes
  • π = 3.14

Substitute the given values into the equation for A[p(t)} found in part A:

\begin{aligned}A[p(8)] & = 36\pi t^2\\& = 36 \cdot 3.14 \cdot 8^2\\& = 36 \cdot 3.14 \cdot 64\\& = 113.04 \cdot 64\\& = 7234.56\:\: \sf square\:units\end{aligned}

Therefore, the area of spilled paint after 8 minutes if 7234.56 square units.

4 0
2 years ago
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Answer:

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Step-by-step explanation:

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= 408 days

5 0
3 years ago
Can someone help me with this diagram problem?
mart [117]

Answer: the diagonal is 10 units

Step-by-step explanation:

The rectangle has 2 parallel and equal sides. Each of the 4 angles in a rectangle is 90°. Therefore, the diagonal of the rectangle divides it into 2 equal right angle triangles and the diagonal represents the hypotenuse of both right triangles.

To determine the length of the diagonal of the rectangle, d, , we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore

d² = 5² + (5√3)²

d² = 25 + 25×3 = 100

d = √100

d = 10 units

6 0
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scZoUnD [109]
The answer is B, I attached a picture of the steps.

7 0
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Galina-37 [17]

Answer:

D) All real numbers greater than or equal to -1

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