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3 years ago

A 6ft tall person casts a shadow that is 10 ft long. A nearby statue casts a 16 ft shadow. How tall is the statue?

Mathematics

1 answer:

den301095 [7]3 years ago

8 0

12 because if the 6ft person shadow is 10 . 6+?=10 and do the math 4 so now 16-4=12 there u go

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Which system of equations has no sulotion?

alex41 [277]

Answer:

Here is the answer ...... Check out it

Step-by-step explanation:

An inconsistent system of equations is a system of equations with no solution. We can determine if our system is inconsistent in three ways: graphing, algebra, and logic. Graphs of an inconsistent system will have no points of intersection.

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5 0

3 years ago

A parallelogram has an area of x^2 + 9x - 36. A. What are expressions for the length and width of the parallelogram?B. If x is a

katrin2010 [14]

Step-by-step explanation:

$Area \: of \: parallelogram \\ = {x}^{2} + 9x - 36 \\ = {x}^{2} + 12x - 3x - 36 \\ = x(x + 12) - 3(x + 12) \\ = (x + 12)(x - 3) \\ \implies \\ length = (x + 12) \: units \\ width = (x - 3) \: units \\$

For this parallelogram to exist least value of x should be 4.

Because if x = 3

(x - 3)= 3 - 3 =0

Thus width of parallelogram would become zero as a result area of parallelogram would become zero i. e. Parallelogram won't exist.

8 0

3 years ago

Principal: $1000, annual interest rate: 4.8%, time: 2 yr

Anna11 [10]

Answer: $1096

Step-by-step explanation:

$1000+$1000(0.048)(2)

5 0

4 years ago

Cole noticed that if he takes the opposite of his age and adds 40 he gets the number 28. how old is Cole?

AnnyKZ [126]

-x+40=28
-x=-12 (subtract 40 from both sides)

Divide by -1(in both sides)because you cant have a negative age.
COLE is 12

To check plug in the values.

5 0

3 years ago

On a measure of artistic abilities the mean for college students in New Zealand is 150 and a standard deviation is 25 give the Z

Digiron [165]

The method for computing a z-score is $\bold{z = \frac{(x-\mu)}{\sigma}}$ , where x is the crude score, $\bold{\mu}$ is the mean population, and $\bold{\sigma}$ seems to be the standard population difference.

The Z value of x is a number $\bold{\frac{(x - \text{mean(series))}}{\text{SD(series)}}}$ are defined where SD is the standard deviation.
Here, we consider series as scores of students of colleges in New Zealand for their artistic abilities.

$\bold{\bar{x}=150}\\\\ \bold{\sigma=25}$

following are the calculation of the Z scores:

$\to \ (a)\ 100:\ \text{Z score}=\frac{(100-150)}{25}= \frac{(-50)}{25} = -2\\\\\to \ (b)\ 120:\ \text{Z score}=\frac{(120-150)}{25}= \frac{(-30)}{25} = -1.2\\\\\to \ (c)\ 140:\ \text{Z score}=\frac{(140-150)}{25}= \frac{(-10)}{25} = -0.4\\\\\to \ (a)\ 160:\ \text{Z score}=\frac{(160-150)}{25}= \frac{(10)}{25} = 0.4\\\\$

Using formula:

$\to \text{Raw score = Mean(series) +Z score} \times \text{SD(series)}$

Calculating the Raw scores:

$\text{(e) -1: Raw score= 150 +(-1)} \times 25 = 125 \\\\\text{(f) -0.8: Raw score= 150 +(-0.8)} \times 25 = 130\\\\\text{(e) -0.2: Raw score= 150 +(-0.2)} \times 25 = 145\\\\\text{(e) 1.38: Raw score= 150 +(1.38)} \times 25 = 184.5\\\\$

Learn more:

brainly.com/question/12865701

3 0

3 years ago