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2 years ago

I’m new to this app so I don’t know how to give more points but I would appreciate it if you could help

Mathematics

1 answer:

faust18 [17]2 years ago

8 0

Hi! The answer would be all real numbers!

Hope this helps! :)

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David's bedroom door is 8 feet tall and 4 feet wide. A new door would cost $8.00 per square foot. How much would a new bedroom d

Verdich [7]

Answer:

$ 256

Step-by-step explanation:

square footage of door = 8 x 4 = 32 ft^2

32 ft^2 * 8 dollar /ft^2 = $ 256

6 0

1 year ago

Claire Judice

Julli [10]

Answer:

The values of 'x' are -1.2, 0, 0, $-4i$ or $4i$ .

Step-by-step explanation:

Given:

The equation to solve is given as:

$5x^5+6x^4+80x^3+96x^2=0$

Factoring $x^2$ from all the terms, we get:

$x^2(5x^3+6x^2+80x+96)=0$

Now, rearranging the terms, we get:

$x^2(5x^3+80x+6x^2+96)=0$

Now, factoring $5x$ from the first two terms and 6 from the last two terms, we get:

$x^2(5x(x^2+16)+6(x^2+16))=0\\x^2(x^2+16)(5x+6)=0$

Now, equating each factor to 0 and solving for 'x', we get:

$x^2=0\\x=0\ and\ 0\\\\5x+6=0\\x=\frac{-6}{5}=1.2\\\\x^2+16=0\\x^2=-16\\x=\sqrt{-16}=\pm 4i$

There are 3 real values and 2 imaginary values. The value of 'x' as 0 is repeated twice.

Therefore, the values of 'x' are -1.2, 0, 0, $-4i$ or $4i$ .

4 0

3 years ago

The rectangle has an area of x square plus 15 square meters and a width of X plus 3

hammer [34]

Answer:

x + 5

Step-by-step explanation:

4 0

3 years ago

What is the length of the rectangular prism if it has a width of 13 meters, a helght of 17 meters, and a volume of 2,873

pentagon [3]

Answer:

The length is 13m.

Step-by-step explanation:

$v = lwh \\ \\ 2873 = l(13)(17) \\ 2873 = 221l \\ l = 2873 \div 221 \\ l = 13$

6 0

2 years ago

The hypotenuse of a 30o-60o-90o triangle measures 4 square 3 inches. What is the length of the shorter leg?

Fofino [41]

Answer:

The shorter leg is $2\sqrt{3}$ inches

Explanation:

The 30°-60°-90° is a special type of right-angled triangles

It has the following special side length:

The length of the side opposite to the 30° is $\frac{1}{2}$ the length of the hypotenuse

The length of the side opposite to the 60° is $\frac{\sqrt{3} }{2}$ of the hypotenuse

Now, we know that the lengths of the sides in a triangle are proportional to the angles

This means that the shortest side will be the one opposite to the smallest angles

In our case, the shortest side will be the one opposite to the 30° angle

We are given that the hypotenuse of the triangle is $4\sqrt{3}$ in

From the above:

Shorter leg = leg opposite to 30° = $\frac{1}{2} * hypotenuse = \frac{1}{2} * 4\sqrt{3} = 2\sqrt{2}$ inches

Hope this helps :)

5 0

2 years ago