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3 years ago

10

An office building casts a 90 foot shadow. At the same time of day, a 5 foot woman standing near the building casts an 8 foot sh

adow. What is the approximate height of the building to the nearest foot?

1 answer:

professor190 [17]3 years ago

6 0

The answer is 56.25ft

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Find each one of the indicated angle measures. <br> Justify your responses.

AysviL [449]

Be more specific please

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3 years ago

Melissa wants to purchase a digital camera.The listed price of the camera is $195.99.The camera is no sale for 10% off and Melis

lianna [129]

Answer:

The 10% off sale will save Melissa <u>$10.49</u>.

Step-by-step explanation:

Given:

The listed price of the camera is $195.99.

The camera is no sale for 10% off and Melissa has a coupon for 5% off the sales tax is 7%.

Now, to find the money Melissa will save of the 10% off sale.

So, to get the price of camera of the 5% off sale:

$(195.99-5\%\ of\ 195.99)$

$=(195.99-\frac{5}{100}\times 195.99)$

$=(195.99-9.80)$

$=186.19$

Now, adding the sales tax:

$186.19+7\%\ of\ 186.19$

$=186.19+\frac{7}{100} \times 186.19$

$=186.19+13.03$

$=199.22$

Thus, the price is $199.22.

Now, to get the price of 10% off sale:

$195.99-10\%\ of\ 195.99$

$=195.99-\frac{10}{100} \times 195.99$

$=176.39$

So, adding sales tax:

$176.39+7\%\ of\ 176.39$

$=176.39+\frac{7}{100} \times 176.39$

$=188.73$

Hence, the price is $188.73.

Now, to get the money 10% off sale will save Melissa:

$199.22-188.73$

$=10.49$

Therefore, the 10% off sale will save Melissa $10.49.

7 0

3 years ago

Factor by grouping. 9c^3-12c^2+18c-24

xeze [42]

Answer:

$9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]$

Step-by-step explanation:

Given

$9c^3 - 12c^2 - 18c - 24$

Required

Factor

Group into 2

$[9c^3 - 12c^2] - [18c + 24]$

Factorize each group

$3c^2[3c - 4] - 6[3c - 4]$

Factor out 3c - 4

$[3c^2 - 6][3c - 4]$

Hence:

$9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]$

8 0

2 years ago

Find the measure of angle x in the figure below:

patriot [66]

100 degrees - all angle measurements in a triangle will add up to 180 degrees (45+55 = 100, 180-100 = 80)

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3 years ago

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Solve the equation. z/32 + 5/8 =13/16<br><br> True Or false, And why?

Oxana [17]

The equation is false because the real answer is z5/4. The variable doesn't just disappear.

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3 years ago

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