Solve the math problem

How many feet long is the shadow of a 15-foot flagpole if a 5-foot woman standing at the base of the flagpole has a shadow that

Vikentia [17]

The height of flagpole is 12.5 feet.

Step-by-step explanation:

Given,

Height of woman = 5 foot

Shadow of woman = 6 feet

Ratio of height to shadow = 5:6

Shadow of flagpole = 15 foot

Height of flagpole = x

Ratio of height to shadow = x:15

Using proportion;

Ratio of height to shadow :: Ratio of height to shadow

$5:6::x:15\\$

Product of mean = Product of extreme

$6*x=15*5\\6x=75$

Dividing both sides by 6

$\frac{6x}{6}=\frac{75}{6}\\x=12.5$

The height of flagpole is 12.5 feet.

Keywords: ratio, proportion

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8 0

3 years ago

The total cost (in dollars) of producing x food processors is C(x) = 2500 + 50x -0.28.

Darya [45]

Answer:

The exact cost of producing the 21st food processor is $38.52.

The marginal cost to approximate the cost of producing the 21st food processor is $38.24

Step-by-step explanation:

Consider the provided function.

$C(x) = 2500 + 50x -0.28x^2$

(A) Find the exact cost of producing the 21st food processor

The exact cost producing 21st food processor is C(21)-C(20)

Substitute x=21 in above function.

$C(x) = 2500 + 50(21) -0.28(21)^2$

$C(x) = 2500 +1050 -123.48$

$C(x) = 3426.52$

Substitute x=20 in above function.

$C(x) = 2500 + 50(20) -0.28(20)^2$

$C(x) = 2500 +1000-112$

$C(x) = 3388$

The exact cost producing is:

$C(21)-C(20)=3426.52-3388=38.52$

Hence, the exact cost of producing the 21st food processor is $38.52.

Part (B) Use the marginal cost to approximate the cost of producing the 21st food processor,

To find the marginal cost first differentiate the function with respect to x.

$C(x) = 2500 + 50x -0.28x^2$

$C'(x) =50-0.56x$

Now substitute x=21 in above function.

$C'(x) =50-0.56(21)$

$C'(x) =50-11.76$

$C'(x) =38.24$

The marginal cost to approximate the cost of producing the 21st food processor is $38.24

5 0

3 years ago

Which point is at 44.197 on the number line?

LenaWriter [7]

Answer:

C

Step-by-step explanation:

because C

4 0

3 years ago

Please help me, i only have 30 mins.

Aleks04 [339]

Answer:

Width is 24, length is 40

Step-by-step explanation:

64 can be split into 8 groups of 8, and the 8 groups can be split into 3 and 5. Then, take 3 x 8 for the width and 5 x 8 for the length, and you have the answer! I wish to you best of luck!

4 0

2 years ago

P105a06.sas are the same statistics in the report and data? what do the first 5 rows in the data represent?

ehidna [41]

Since P105a06.sas are the same statistics in the given report and data for this lab, we can infer and logically deduce that the first 5 rows in the data means the statistics are different.

SAS is an abbreviation for Statistical Analysis System and it can be defined as a statistical software suite which was developed at North Carolina State University by SAS Institute for the following field of study:

Business intelligence

Criminal investigation

Data management

Multivariate analysis

Advanced analytics

Predictive analytics

Since it has been stated that P105a06.sas are the same statistics in the given report and data for this lab, we can infer and logically deduce that the first 5 rows in the data means the statistics are different.

Read more on Statistical Analysis here: brainly.com/question/24439065

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7 0

1 year ago