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2 years ago

If a 32 ft. tall tree casts an 8 ft. shadow , how long of a shadow dc 6 ft. tall man have?

Mathematics

2 answers:

REY [17]2 years ago

7 0

Answer:

1.5ft

Step-by-step explanation:

32/8=4

32/4=8

6/4=1.5

lara [203]2 years ago

3 0

Answer:

answer is easy but question is only difficult

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Stella owns 120,000 acres of land. She plans to divide 30% of the land to be farm land. How much land does she have that is NOT

valentina_108 [34]

Answer:

40,000

Step-by-step explanation:120,000 divided by 30% is 40,00 because 120,000 divide by 30 is 40,000

8 0

3 years ago

Read 2 more answers

What is the value of t?

solmaris [256]

Answer:

A) t = -3

Step-by-step explanation:

We have the expression $\frac{(t-12)}{2}=\frac{3t}{2}-3$ and we have to find the value of t.

First we are going to reorder the expression:

$\frac{(t-12)}{2}=\frac{3t}{2}-3\\\\3=\frac{3t}{2}-\frac{(t-12)}{2}\\\\3=\frac{3t-t-(-12)}{2}\\\\3=\frac{2t+12}{2}$

Now we have to multiply each side by 2,

$3=\frac{2t+12}{2}\\\\3.2=\frac{2t+12}{2}.2\\\\6=2t+12$

Subtract (-12) in both sides,

$6=2t+12\\6-12=2t+12-12\\-6=2t$

Divide both sides in 2,

$-6=2t\\\frac{-6}{2} =\frac{2t}{2} \\-3=t$

The answer is option A) t = -3.

6 0

3 years ago

An article bought for rupees 350 is sold at a profit of 20% find its selling price

Mice21 [21]

Answer:

420

Step-by-step explanation:

20 percent of 350 is 70, so adding that on will give us the price it is sold at for profit of 70 (20%).

3 0

2 years ago

Read 2 more answers

A store buys a remote control robot for $60. They mark it up by 30%. What will be the selling price

exis [7]

The answer would be 78 because 10% of 60 is 6. 6 x 3 = 18 60+18=78

7 0

1 year ago

Solving Rational Functions Hello I'm posting again because I really need help on this any help is appreciated!!

Greeley [361]

Answer:

x = √17 and x = -√17

Step-by-step explanation:

We have the equation:

$\frac{3}{x + 4} - \frac{1}{x + 3} = \frac{x + 9}{(x^2 + 7x + 12)}$

To solve this we need to remove the denominators.

Then we can first multiply both sides by (x + 4) to get:

$\frac{3*(x + 4)}{x + 4} - \frac{(x + 4)}{x + 3} = \frac{(x + 9)*(x + 4)}{(x^2 + 7x + 12)}$

$3 - \frac{(x + 4)}{x + 3} = \frac{(x + 9)*(x + 4)}{(x^2 + 7x + 12)}$

Now we can multiply both sides by (x + 3)

$3*(x + 3) - \frac{(x + 4)*(x+3)}{x + 3} = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

$3*(x + 3) - (x + 4) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

$(2*x + 5) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

Now we can multiply both sides by (x^2 + 7*x + 12)

$(2*x + 5)*(x^2 + 7x + 12) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}*(x^2 + 7x + 12)$

$(2*x + 5)*(x^2 + 7x + 12) = (x + 9)*(x + 4)*(x+3)$

Now we need to solve this:

we will get

$2*x^3 + 19*x^2 + 59*x + 60 = (x^2 + 13*x + 3)*(x + 3)$

$2*x^3 + 19*x^2 + 59*x + 60 = x^3 + 16*x^2 + 42*x + 9$

Then we get:

$2*x^3 + 19*x^2 + 59*x + 60 - ( x^3 + 16*x^2 + 42*x + 9) = 0$

$x^3 + 3x^2 + 17*x + 51 = 0$

So now we only need to solve this.

We can see that the constant is 51.

Then one root will be a factor of 51.

The factors of -51 are:

-3 and -17

Let's try -3

p( -3) = (-3)^3 + 3*(-3)^2 + +17*(-3) + 51 = 0

Then x = -3 is one solution of the equation.

But if we look at the original equation, x = -3 will lead to a zero in one denominator, then this solution can be ignored.

This means that we can take a factor (x + 3) out, so we can rewrite our equation as:

$x^3 + 3x^2 + 17*x + 51 = (x + 3)*(x^2 + 17) = 0$

The other two solutions are when the other term is equal to zero.

Then the other two solutions are given by:

x = ±√17

And neither of these have problems in the denominators, so we can conclude that the solutions are:

x = √17 and x = -√17

6 0

2 years ago