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3 years ago

A tree is 14 feet tall. it casts a shadow 20 feet long. if nearby building casts a shadow 15 feet long, how tall is the building

Mathematics

2 answers:

pentagon [3]3 years ago

7 0

My guess is that the building is 10 feet tall

yawa3891 [41]3 years ago

7 0

Answer:

tjent

Step-by-step explanation:

to be able 56

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Pls help (kinda easy)

3241004551 [841]

Answer:

$f(x)=(2x+1)(2x-1)$ .

Step-by-step explanation:

We want to convert the function into the form that let's us easily find the x-intercept, and it would be for the form $(ax+b)(cx+d)$ because then we can find the x-intercept in the following manner:

$(ax+b)(cx+d)=0$

$x=-b/a$

$x=-d/c$

We factor our function $f(x)=4x^2-1$ and get

$\boxed{f(x)=(2x+1)(2x-1)}$

Now this form let's us easily find the x-intercepts:

$x=-1/2$

$x=1/2$

and so we pick the second choice: f(x)=(2x+1)(2x-1).

5 0

3 years ago

Read 2 more answers

Please Help ASAP! Will name Brainliest! Question: Minimize the objective function P = 5x + 8y for the given constraints. x ≥ 0 y

maksim [4K]

Answer:

Option D.

Step-by-step explanation:

Minimize the objective function P = 5x + 8y for the given constraints.

$x\geq 0,y\geq 0$

$2x+3y\geq 15$

$3x+2y\geq 15$

The related equations of above inequalities are

$2x+3y=15$

$3x+2y=15$

For $2x+3y=15$ ,

x y

0 5

7.5 0

Plot (0,5) and (7.5,0) and join them by straight line.

For $3x+2y=15$ ,

x y

0 7.5

5 0

Plot (0,7.5) and (5,0) and join them by straight line.

Check the inequalities for (0,0).

$2(0)+3(0)\geq 15\Rightarrow 0\geq 15$ False

$3(0)+2(0)\geq 15\Rightarrow 0\geq 15$ False

It means both lines are solid lines and shaded region for each lies opposite side of (0,0).

From the below graph it is clear that the vertices of feasible region are (0,7.5), (3,3), (7.5,0).

Point P = 5x + 8y

(0,7.5) P=5(0)+8(7.5)=60

(3,3) P=5(3)+8(3)=15+24=39

(7.5,0) P=5(7.5)+8(0)=37.5 (Minimum)

So, minimum value is 37.5.

Therefore, the correct option is D.

3 0

3 years ago

Solve the following equation by factoring 2x^2-5x-12=0

Korolek [52]

Answer: x = 4 and x = -3/2

Procedure:

1) Given: 2x^2 - 5x - 12 = 0

2) Multiply both sides by : 2(2x^2) - 2(5x) - 2(12) = 0

3) Rearrange: (2x)^2 -5(2x) - 24 = 0

4) Notice that the common factor is (2x)

5) Set the parenthesis with the common factor inside:

(2x ) (2x ) =0

6) The first sign is the same sign of the second term of the trinomial, which is negative, the second sign is the product of the signs of the second and the third terms of the polynomial, which is (-)*(-) = + (positive)

(2x - )(2x + ) = 0

7) find two numbers that sum up - 5x and its product is -24.

- 8 + 3 = - 5
(-8)(+3) = -24

=> the numbers in the factors are -8 and +3

(2x - 8) (2x + 3) = 0

That is the factored equation. Now you can solve

8) a) 2x - 8 = 0 => 2x = 8 => x = 8/2 => x = 4

b) 2x + 3 = 0 => 2x = - 3 => x = - 3/2

Answer: the two solutions are x = 4 and x = -3/2

8 0

3 years ago

8 ÷ (-2) = <br><br>-2 × (-3) =

Vinvika [58]

Top answer is -4 because when you divide by a negative your answer will come out negative and bottom answer is 6 because when you multiply two negatives it turns into a positive

3 0

3 years ago

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Which problem can be solved by division of decimals?

evablogger [386]

Answer:

What is Jeremy’s average if he received a total of 323.7 points on 7 tests?

Step-by-step explanation:

You have to divide 323.7 points by 7 tests so it is the only division problem out of all the problems.

8 0

2 years ago

Read 2 more answers