All categories

3 years ago

The area of a rectangular deck is 680 square feet. The deck's width is 17 feet. What is its perimeter?

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

6 0

680/17=40. Therefore the height of the rectangle is 40 and the width is 17. so 40+40+17+17= c) 114 feet

You might be interested in

Please show me the steps on how to do this.

velikii [3]

You can consider the tree perpendicular to its shadow, therefore you get a triangle rectangle of which you know the two legs and you need to find the angle between the shadow and the hypothenuse, opposite to the tree.

In this case, the angle α can be easily found with trigonometry:
tan α = (opposite side / adjacent side)

Therefore:
α = tan⁻¹ (tree / shadow) = tan⁻¹ (10 / 14) = 35°

NOTE:
tan⁻¹ is sometimes found written as arctan.

8 0

3 years ago

Please answer correctly !!!!!!! Will mark Brianliest !!!!!!!!!!!

icang [17]

Answer:

$x=-2\\x=2$

(You only need to give one solution)

Step-by-step explanation:

We have the following equation

$(x^2+1)^2-5x^2-5=0$

First, we need to foil out the parenthesis

$x^4+2x^2+1-5x^2-5=0$

Now we can combine the like terms

$x^4-3x^2-4=0$

Now, we need to factor this equation.

To factor this, we need to find a set of numbers that add together to get -3 and multiply to give us -4.

The pair of numbers that would do this would be 1 and -4.

This means that our factored form would be

$(x^2-4)(x^2+1)=0$

As the first binomial is a difference of squares, it can be factored futher into

$(x^2+1)(x+2)(x-2)=0$

Now, we can get our solutions.

The first binomial will produce two complex (Not real) solutions.

$x+2=0\\\\x=-2$

$x-2=0\\\\x=2$

So our solutions to this equation are

$x=-2\\x=2$

3 0

3 years ago

X to 2nd power equals 9/256

Flauer [41]

There are two solutions.. x=16 or x=−16.

5 0

4 years ago

The area of a blackboard is 1 1 third square yards. A poster’s area is 8 over 9 square yards. What is the unit rate of the black

12345 [234]

Step-by-step explanation:

(1 ⅓ yd²) / (8/9 yd²)

(4/3 yd²) / (8/9 yd²)

(4/3) × (9/8)

3/2

1.5 / 1

7 0

4 years ago

-2(5x + 4) = -3(3x + 2) - 3

Elina [12.6K]

Answer: x= -2

Step-by-step explanation: Remove parentheses. Move terms. Collect the like terms. Calculate the sum. Change the signs on both sides of the equation and you should get x= -2.

4 0

3 years ago