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3 years ago

A 6 foot tall person casts a shadow 8ft long at the same time a building can cast a shadow 48 feet long how tall is the building

Mathematics

1 answer:

aliina [53]3 years ago

5 0

Answer:

36 feet

Step-by-step explanation:

We can use the tall person's shadow as a ratio to help us witht his problem.

The ratio would be 6:8

Once we know how tall the shadow cast is, we can divide that by 8 to be within the same ratio.

48 / 8 = 6

Then once we do that we multiply that by 6

6 x 6 = 36

And there we go, that's the answer.

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10^8/10^4 Simplify the expression. Write your answer as a power.

Andru [333]

<h3>Answer: 10^4</h3>

This is an exponential expression with 10 as the base and 4 as the exponent.

=============================================

Explanation:

We're dividing 10^8 over 10^4. When dividing like this, we subtract the exponents (numerator minus denominator). The bases must be the same value and they stay at the same value for the final answer as well.

The new exponent is 8-4 = 4 which is how we arrive at the answer 10^4.

Side note: 10^4 = 10,000 = ten thousand

7 0

3 years ago

Give the following equations determine if the lines are parallel perpendicular or neither

GaryK [48]

In order to determine whether the equations are parallel, perpendicular, or neither, let's simply each equation into a slope-intercept form or basically, solve for y.

Let's start with the first equation.

$\frac{6x-5y}{2}=x+1$

Cross multiply both sides of the equation.

$6x-5y=2(x+1)$ $6x-5y=2x+2$

Subtract 6x on both sides of the equation.

$6x-5y-6x=2x+2-6x$ $-5y=-4x+2$

Divide both sides of the equation by -5.

$-\frac{5y}{-5}=\frac{-4x}{-5}+\frac{2}{-5}$ $y=\frac{4}{5}x-\frac{2}{5}$

Therefore, the slope of the first equation is 4/5.

Let's now simplify the second equation.

$-4y-x=4x+5$

Add x on both sides of the equation.

$-4y-x+x=4x+5+x$ $-4y=5x+5$

Divide both sides of the equation by -4.

$\frac{-4y}{-4}=\frac{5x}{-4}+\frac{5}{-4}$ $y=-\frac{5}{4}x-\frac{5}{4}$

Therefore, the slope of the second equation is -5/4.

Since the slope of each equation is the negative reciprocal of each other, then the graph of the two equations is perpendicular to each other.

5 0

1 year ago

Y= -0.25x + 4.7 Y=4.9x - 1.64

Andreas93 [3]

Answer:

The answer would be (1.23, 4.39)

Step-by-step explanation:

Because they are both equal to y, we can set the equations equal to each other and then solve.

4.9x - 1.64 = -0.25x + 4.7

5.15x - 1.64 = 4.7

5.15x = 6.34

x = 1.23

Now that we have the value for x, we can plug into either equation and find y.

y = -0.25x + 4.7

y = -0.25(1.23) + 4.7

y = -.31 + 4.7

y = 4.39

3 0

3 years ago

Evan's mother used 1/3 pound of beef, 1/2 pound of shrimp, and 3 pounds of pasta to make dinner for 4 people. Use this informati

Damm [24]

B is the correct answer!

4 0

3 years ago

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drek231 [11]

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3 0

1 year ago