The value of y varies directly with x, and y = 48 when x = 16. Find y when x = 176.

2 answers:

7 0

I do these a little different then most......if it varies directly u can make a proportion

16/48 = 176 / y
cross multiply
(16)(y) = (48)(176)
16y = 8448
y = 8448/16
y = 528 <==

and notice that 16/48 and 176/528 both equal 0.3333 because proportions are nothing but equivalent fractions

emmainna [20.7K]3 years ago

5 0

Try to find what y is when x is equal to one.

48/16= 3

So, when x is 1, y is 3.

(1,3)

All you need to do is multiply 176 by 3 for the correct value of y.

176*3= 528

When x= 176, y= 528. (176,528)

I hope this helps!
~cupcake

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At 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at

ioda

Answer:

203 feet.

Step-by-step explanation:

Please find the attachment.

Let h represent the height of the building.

We have been given that at 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at an angle about 35 degrees above the horizontal.

We know that tangent relates opposite side of a right triangle to its adjacent side.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

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

$\text{tan}(35^{\circ})=\frac{h}{290}$

$290*\text{tan}(35^{\circ})=\frac{h}{290}*290$

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$h=290*0.70020753821$

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$h\approx 203$

Therefore, the building is approximately 203 feet high.

3 0

3 years ago

What is the slope of the line through (-2,3) and (1,1)?

son4ous [18]

The slope of the line is -2/3.

This is found by using the equation y2 - y1/x2 - x1. Filling in for each factor, you would have 1-3/1+2 (since subtracting a negative makes it positive). This will give you a final answer of -2/3.

Here is a graph of the full equation of the line.

I hope this helps!