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2 years ago

Consider the figure. Determine the value of x.

Mathematics

1 answer:

JulsSmile [24]2 years ago

8 0

Answer:

x is 3.

Step-by-step explanation:

Vertically opp angle are equal.

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Derek is playing a prank on Grace and hid her pencil inside a tissue box that has a width of 4 inches, a length of 8 inches, and

ohaa [14]

Answer:

9.8 Inch

Step-by-step explanation:

The distance from the upper left corner to the bottom right corner of the box is the longest diagonal of the box.

For a rectangular prism:

Length of the Longest diagonal $=\sqrt{ l^2+h^2+w^2}$

Therefore:

Length of the pencil $=\sqrt{ 8^2+4^2+4^2}$

$=\sqrt{96}\\=9.8$ inch(correct to the nearest tenth of an inch)$

8 0

3 years ago

Read 2 more answers

There are 25 servings in a 12.5 ounce bottle of olive oil. How many ounces are in a serving?

Pani-rosa [81]

If you divide 12.5 by 25 you should get 0.5

correct answer should be 0.5

4 0

3 years ago

Consider the equation and its solution.

madreJ [45]

30 Me mark as brainlist

6 0

2 years ago

A box has a volume of 308 cm cubed. Its height is 4 cm greater than its length. Its length is 3 cm greater than its width. What

kifflom [539]

Answer:

4 cm.

Step-by-step explanation:

Given:

A box has a volume of 308 cm cubed.

Its height is 4 cm greater than its length.

Its length is 3 cm greater than its width.

Question asked:

What is the width of the box?

Solution:

Let width = $x\ cm$

Length = $x+3\ cm$

Height = $x+3+4=x+7\ cm$

As we know:

$Volume\ of\ box=length\times width\times height$

$308=(x+3)\times x\times(x+7)\\ \\ 308=(x^{2} +3x)(x+7)\\ \\ 308=x^{2} (x+7)+ 3x(x+7)\\ \\ 308=x^{3} +7x^{2} +3x^{2} +21x\\ \\ 308=x^{3} +10x^{2} +21x\\ \\ Subtract\ 308\ from\ both\ sides\\ \\ x^{3} +10x^{2} +21x-308=0\\ \\ factor\ left\ side\ of\ equation\\ \\ (x-4)(x^{2} +14x+77)=0\\ \\ Set\ factors\ equal\ to\ 0.\\ \\ x-4=0 \ or\ x^{2} +14x+77=0\\ \\ \\$

As width can never be in negative, $x= 4\ cm$

By substituting the value:-

Width = $x\ cm$ = 4 cm

Thus, width of the box is 4 cm.

4 0

2 years ago

Jordan invests £16200 into his bank account

atroni [7]

Answer:

18225

Use the formula: .

A = final amount

P = initial amount invested

r = annual interest rate

t = time (in years)

Insert all values in appropriate places.

Simplify.

A=16200(1+(0.025)(6))

6 0

2 years ago

Consider the figure. Determine the value of x.​

Consider the figure. Determine the value of x.