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Aleks [24]
3 years ago
5

HELP PLEASE!

Mathematics
2 answers:
Strike441 [17]3 years ago
6 0
It would be 3.87,to the nearest hundred cause the real length is √15
Alex Ar [27]3 years ago
5 0
For this problem, we can use the pythagorean theorem. The formula for that is:

a²+b²=c²      where a and b are side lengths and c is the hypotenuse

Plug in the data that we know

7²+b²=8²
49+b²=64
subtract 49 from both sides
b²=15
b=√15
b=3.8729
round to the nearest hundredth
b=3.88 units

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Directions : Factor each of the following Differences of two squares and write your answer together with solution​
N76 [4]

\huge \boxed{\mathfrak{Question} \downarrow}

Factor each of the following differences of two squares and write your answer together with solution.

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

<h3><u>1. x² - 36</u></h3>

\sf \: x ^ { 2 } - 36

Rewrite \sf\:x^{2}-36 as x^{2}-6^{2}. The difference of squares can be factored using the rule:\sf\: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\boxed{ \boxed{ \bf\left(x-6\right)\left(x+6\right) }}

__________________

<h3><u>2. 49 - x²</u></h3>

\sf \: 49 - x ^ { 2 }

Rewrite 49-x² as 7²-x². The difference of squares can be factored using the rule: \sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\sf \: \left(7-x\right)\left(7+x\right)

Reorder the terms.

\boxed{ \boxed{ \bf\left(-x+7\right)\left(x+7\right) }}

__________________

<h3><u>3. 81 - c²</u></h3>

\sf \: 81 - c ^ { 2 }

Rewrite 81-c²as 9²-c². The difference of squares can be factored using the rule: \sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\sf\left(9-c\right)\left(9+c\right)

Reorder the terms.

\boxed{ \boxed{ \bf\left(-c+9\right)\left(c+9\right) }}

__________________

<h3><u>4</u><u>.</u><u> </u><u>m²</u><u>n</u><u>²</u><u> </u><u>-</u><u> </u><u>1</u></h3>

\sf \: m ^ { 2 } n ^ { 2 } - 1

Rewrite m²n² - 1 as \sf\left(mn\right)^{2}-1^{2}. The difference of squares can be factored using the rule: \sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\boxed{ \boxed{ \bf\left(mn-1\right)\left(mn+1\right) }}

4 0
3 years ago
Read 2 more answers
A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round you
marta [7]

Volume of cone formula: V = PI x r^2 x h/3

Volume of sphere formula: 4/3 x PI x r^3

Cone: 3.14 x 9^2 x 9/3 = 763.02 cubic inches

1/2 sphere: 1/2 x 4/3 x 3.14 x 9^3 = 1526.04 cubic inches.

Total volume : 1526.04 + 763.02 = 2289.1 cubic inches

4 0
3 years ago
Read 2 more answers
Lucy went to the pet store to buy 17 fish for her aquarium. She bought Fancy Goldfish for $13.49 each and Plecos for $3.25 each.
tatuchka [14]

Step-by-step explanation:

let gold fish= X

let Plecos fish= Y

X +Y = 17................(I)

13.49X + 3.25Y =198.61........(II)

solve simuteniously to get

X = 14

Y = 3.....therefore

she bought 14 gold fish and 3 plecos fish

8 0
3 years ago
Whats the difference of squares
stepan [7]
An example of the difference of squares would be: a^2-b^2 = (a+b)(a-b)
6 0
3 years ago
Please help me with this question. i would really appreciate it!
NemiM [27]

Answer:

it should be c or d

Step-by-step explanation:

5 0
3 years ago
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