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2 years ago

Solve for x in the parallelogram. The solution is x= units.

Mathematics

1 answer:

natka813 [3]2 years ago

5 0

$\textit{area of a parallelogram}\\\\ A=bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=13\\ A=104\\ h=x \end{cases}\implies 104=(13)(x)\implies \cfrac{104}{13}=x\implies 8=x$

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The area of a rectangular wall of a barn is 96 square feet. Its length is 10 feet longer than the width. Find the length and wid

Bad White [126]

(x)(10+x)=96
$10x + {x}^{2} = 96$
${x}^{2} + 10x - 96 = 0$
(x-6)(x+16)=0

x=6,-16

negative can't be an answer this the answer is 6+10= 16 ft

4 0

3 years ago

Find the distance between the two numbers on a number line. Write your answer as a mixed number.

solong [7]

Answer:

We conclude that the distance between the two numbers on a number line will be: 322

Step-by-step explanation:

Given the numbers

-212

-534

There can be a lot of ways to determine the distance between the two numbers on a number line like counting every number between them.

But, we can use a more efficient method in terms of determining the distance by taking the absolute value of the difference between those numbers.

Distance between the numbers:

$\left|-212-\left(-534\right)\right|$

Apply rule: -(-a) = a

$=\left|-212+534\right|$

$=\left|322\right|$

Apply absolute rule: $\left|a\right|=a,\:a\ge 0$

$=322$

Therefore, we conclude that the distance between the two numbers on a number line will be: 322

4 0

2 years ago

Type the correct answer in each box. Use numerals instead of words. Consider this quadratic equation. x2 + 2x + 7 = 21 The numbe

Zolol [24]

Answer:

(a) 1

(b) 1

Step-by-step explanation:

The given quadratic equation is

Subtract 27 from both sides.

Taking out common factor.

Divide both sides by 4.

If an expression is , then we need to add , to make it perfect square.

Here, b=2, so

Add 1 on both sides.

Taking square root on both sides.

Subtract 1 from both sides.

and

Only one solution is positive.

Greatest solution is 3.031, therefore the approximate value of this solution is 3.03.

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3 years ago

Read 2 more answers

Last year, Scout Troop # 85 sold 540 boxes of cookies. This year, they sold 783 boxes. What was the percent increase in the numb

lesantik [10]

Difference/original
783 - 540 = 243
243/540 = 0.45
0.45 * 100 = 45
45% = increased percentage

4 0

2 years ago

1. Five more than a number is eight.

kolezko [41]

Answer

<u>3</u>, the number is 3

Step-by-step explanation:

work backwards, do 8-5 to get three. you can check to see if you're right by adding 5 to 3, which gives you 8.

4 0

2 years ago