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kozerog [31]
3 years ago
10

Use similar triangles to solve the problem. A flagpole casts a shadow of 35 ft, Nearby, a 9-ft tree casts a shadow of 7 ft. What

is the height of the flag pole (in feet)?
Mathematics
1 answer:
grin007 [14]3 years ago
5 0

27.22ft

.,..................

9 x

__ = ___

7 35

9*35= 315

315/7= 27.22ft

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How can you find 5% of any number using mental math?
Kryger [21]

Answer:

Step-by-step explanation:

I'm not sure my way is going to be any quicker or better. Let's take an example.

Suppose you start with 456

Put a decimal at the end of the 6.   You get 456.

Shift the decimal to the left one place           45.6

Divide by 2

22.8 (done mentally)

Note: dividing by 2 is easier than dividing by 5. Or multiplying by 5 for that matter.

Check the result.

456 * 5/100 =2280 / 100.

Shift a decimal 2 places to the left.

22.80 which agrees with your result.

8 0
4 years ago
Read 2 more answers
Please solve both of these questions
Alex

Answer:

jane will arrive at 3:41

Mira will arrive at 3:50

so the the difference in time is 9 minutes

—————-

The shaded area = Circle area - square area

circle area = 314

square area = 100

the the shaded area = 214

7 0
3 years ago
A company is producing two types of ski goggles. Thirty percent of the production is of type A, and the rest is of type B. Five
exis [7]

Answer:

\dfrac{14}{29}

Step-by-step explanation:

Let <em>P(A) </em>be the probability that goggle of type A is manufactured

<em>P(B) </em>be the probability that goggle of type B is manufactured

<em>P(E)</em> be the probability that a goggle is returned within 10 days of its purchase.

According to the question,

<em>P(A)</em> = 30%

<em>P(B)</em> = 70%

<em>P(E/A)</em> is the probability that a goggle is returned within 10 days of its purchase given that it was of type A.

P(E/B) is the probability that a goggle is returned within 10 days of its purchase given that it was of type B.

P(A \cap E) will be the probability that a goggle is of type A and is returned within 10 days of its purchase.

P(B \cap E) will be the probability that a goggle is of type B and is returned within 10 days of its purchase.

P(E \cap A) = P(A) \times P(E/A)

P(E \cap A) = \dfrac{30}{100} \times \dfrac{5}{100}\\\Rightarrow P(E \cap A) = 1.5 \%

P(E \cap B) = P(B) \times P(E/B)

P(E \cap B) = \dfrac{70}{100} \times \dfrac{2}{100}\\\Rightarrow P(E \cap B) = 1.4 \%

P(E) = 1.5 \% + 1.4 \% \\P(E) = 2.9\%

If a goggle is returned within 10 days of its purchase, probability that it was of type B:

P(B/E) = \dfrac{P(E \cap B)}{P(E)}

\Rightarrow \dfrac{1.4 \%}{2.9\%}\\\Rightarrow \dfrac{14}{29}

So, the required probability is \dfrac{14}{29}.

7 0
4 years ago
3. Maxine has assets worth $145,000 and liabilities totaling $75,000. What is Maxine's net worth?
BabaBlast [244]
Answer: C.) $70,000

Explanation:
Assets - Liabilities = Net worth
$145,000 - $75,000 = $70,000
5 0
3 years ago
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Given the following number as an approximate measurement, 49.5 feet. What is the range of values for the actual value?
Elodia [21]

Answer:

range is 2

Step-by-step explanation:

4 0
3 years ago
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