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2 years ago

Which graph represents the solution set of the system of inequalities?

Mathematics

1 answer:

lbvjy [14]2 years ago

5 0

<span>{yâ‰¥12x+1y>âˆ’xâˆ’2 is misunderstanding
Pls correct it</span>

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Wally wants to determine the height of a statue that casts a 164-inch shadow by comparing it to his own height and shadow length

nataly862011 [7]

We have been given that Wally wants to determine the height of a statue that casts a 164-inch shadow by comparing it to his own height and shadow length. Wally is 68 inches tall, casts a shadow that is 41 inches in length.

We will use proportions to solve for the height of the statue because proportions state that ratio between two proportional quantities is same.

$\frac{\text{Height of statue}}{\text{Shadow of statue}}=\frac{\text{Height of Wally}}{\text{Shadow of Wally}}$

Upon substituting our given values in above equation, we will get:

$\frac{\text{Height of statue}}{\text{164 cm}}=\frac{\text{68 inch}}{\text{41 inch}}$

$\frac{\text{Height of statue}}{\text{164 cm}}\times \text{164 cm}=\frac{\text{68 inch}}{\text{41 inch}}\times \text{164 cm}$

$\text{Height of statue}=\frac{\text{68 inch}}{1}\times 4$

$\text{Height of statue}=272\text{ inches}$

Therefore, the height of the statue is 272 inches.

5 0

2 years ago

One number is 8 more than another number, and their sum is 16. What are the 2 numbers?

gayaneshka [121]

Answer:

x = 12

y = 4

Step-by-step explanation:

x + y = 16

x - y = 8

y + 8 = x

Replace x with y + 8 in the new equation

8 + 2y = 16 ----> we can minus 8 on both sides

2y = 8 -----> divide both sides by 2

y = 4

Now for the x value

x + 4 = 16 ----> minus 4 on both sides

x = 12

5 0

2 years ago

Read 2 more answers

If sec theta = - √30 / 3, find cos theta.<br> if sin(-theta) = -0.97, find cos (π/2 - theta).

Cloud [144]

Step-by-step explanation:

$\cos \theta = \frac{1}{ \sec\theta } = - \frac{3}{ \sqrt{30} } = - \frac{3 \sqrt{30} }{30} = - \frac{ \sqrt{30} }{10}$

$\cos( \frac{\pi}{2} - \theta )= \cos \frac{\pi}{2} \cos \theta + \sin \frac{\pi}{2} \sin \theta$

Note that

$\sin( - \theta) = - \sin \theta$

$\cos \frac{\pi}{2} = 0 \: \: \: \: \: \sin \frac{\pi}{2} = 1$

Therefore,

$\cos( \frac{\pi}{2} - \theta ) = 0.97$

5 0

3 years ago

Another easy question need fast please

Tresset [83]

Answer:

30.25

Step-by-step explanation:

All angles of a line must add up to 180. Since we already know that one angle is 90 degrees, we know that the other angles should add up to 90 degrees in order for all of the angles to add up to 180 degrees:

(3x-7)+(x+8)=90

4x+1=90

4x=89

x=22.25

22.25+8= 30.25

3 0

2 years ago

Naddik [55]

Answer:

what a confusing question?

Step-by-step explanation:

im guessing 3 feet

8 0

2 years ago