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2 years ago

6

The width of a plastic storage bin is 4ft longer than the height. The length is 6ft longer than the height. The volume is 96 cub

ic feet. Using the formula V=lwh, find the height of the bin.

1 answer:

Talja [164]2 years ago

5 0

Answer:

the length is 4 ft longer than the height

Step-by-step explanation:

You might be interested in

Jackson used the process of completing the square to solve the equation 2x2−12x=−6.

Nikolay [14]

Answer:

$x=3-\sqrt{6},x=3+\sqrt{6}$

Step-by-step explanation:

we are given equation as

$2x^2-12x=-6$

Since, we have to solve it by using complete square

so, firstly we will complete square

and then we can solve for x

step-1:

Factor 2 from both sides

$2(x^2-6x)=-3\times 2$

step-2:

Simplify it

$x^2-6x=-3$

step-3:

Add both sides 3^2

$x^2-6x+3^2=-3+3^2$

now, we can complete square

$(x-3)^2=6$

step-4:

Take sqrt both sides

$(x-3)=-\sqrt{6},(x-3)=\sqrt{6}$

step-5:

Add both sides by 3

we get

$x=3-\sqrt{6},x=3+\sqrt{6}$

3 0

2 years ago

Please help me out? thank you!!!

NeX [460]

Step-by-step explanation:

What you need to do is convert the quarts into gallons and then you need to subtract the number by 2 and you have your answer. Sorry I cannot give you the answer! I'm kinda in a rush but I wanted to help you out.

8 0

2 years ago

Read 2 more answers

59:26 What is the length of the hypotenuse, x, if (20, 21, x) is a Pythagorean triple? 22 29 41 42

Vikki [24]

If the legs are length a and b and hyptonuse is c then
a²+b²=c²

so
if the legs are 20 and 21 and the hypotnuse is x then
20²+21²=x²
400+441=x²
841=x²
29=x

4 0

3 years ago

Read 2 more answers

Can somebody help me with these to questions how do you find the area of the circle

Grace [21]

13)

Circumference (C) = 2π·r

11π = 2π·r

11/2 = r

******************************

Area (A) = π·r²

= π·(11/2)²

= 121π/4

≈ 94.985 in²

14)

diameter = 2r

42 = 2r

21 = r

*******************

Area (A) = π·r²

= π·(21)²

= 441π

≈ 1384.74 in²

***************************

$280/1384.74 in²

x = $0.20

Answer: about 20 cents per square inch

6 0

2 years ago

Aryana wants to invest $43,000. She has two options. Option A gives her 6% compounded quarterly. Option B gives her 6% simple in

solmaris [256]

Answer:

Option A earns higher interest($84115.58)

the difference in interest between the two option is $197.9

Step-by-step explanation:

In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns

Given data

Principal P= $43,000

Rate r= 6%= 0.06

time t= 3years

n= 4 (applicable for compound interest compounded quarterly)

solving for option A gives her 6% compounded quarterly

the compound interest formula is

$A= P(1+\frac{r}{n} )^n^t\\A= 43000(1+\frac{0.06}{4} )^{4} ^*^3$

$A=43000(1+0.015)^{12} \\A=43000(1.015)^{12} \\A=43000*1.1956\\A= 51411.58$

Interest is $A-P= 51411.58-43000= 8411.58$ =$8411.58

solving for option B which gives her 6% simple interest annually

the simple interest formula is

$A=P(1+r)^{t} \\A=43000(1+0.06)^3\\A=43000(1.06)^3\\A=43000*1.191\\A= 51213.68$

Interest is $A-P=51213.68-43000= 8213.68$ = $8213.68

calculating the diference in interest between the two options we have

$8411.58-8213.68= 197.9$ = $197.9

Option A earns higher interest

8 0

3 years ago