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My name is Ann [436]
3 years ago
13

Your family wants to purchase a new laptop with

Mathematics
1 answer:
zloy xaker [14]3 years ago
8 0

Answer:

The laptop will not fit in the case.

Step-by-step explanation:

We need to find the width of the laptop to know if it fits in the case. We have:

<u>For the laptop</u>:

h: is the height of the laptop = 10 inch

d: is the widescreen of the laptop (diagonal) = 17 inch

w: is the width of the laptop =?

<u>For the laptop case</u>:

H: is the height of the laptop case = 10.5 inch

W: is the width of the laptop case = 13 inch

So, the width of the laptop can be found by using Pitagoras:

d^{2} = w^{2} + h^{2}

w = \sqrt{(17 inch)^{2} - (10 inch)^{2}} = 13.7 inch

Hence, the laptop is 13.7 inches wide.                              

Therefore, since the laptop is wider than the case, the laptop will not fit in the case.

 

I hope it helps you!

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A^2(64a^2-3)/3=27-4a^2/4
frutty [35]
The answer is a = 3/4 = 0.75

First get rid of the paranthesis,
{a}^{2} (64 {a}^{2}  - 3) = 64 {a}^{4} -  3 {a}^{2}
Then set the denominators equal:
\frac{ 256 {a}^{4}  - 12 {a}^{2}}{12}  =  \frac{81 - 12 {a}^{2} }{12}
Then remove the denominators and solve:
256 {a}^{4}  - 12 {a}^{2}  = 81 - 12 {a}^{2}
Eliminate -12a^2 by adding 12a^2 to both sides:
256 {a}^{4}  = 81
Take the fourth root of them or take the square root twice:
\sqrt[4]{256 {a}^{4} }  =  \sqrt[4]{81}   \\  4a = 3
Divide both sides by 4:
a =  \frac{3}{4}  = 0.75
7 0
3 years ago
If the area of a triangle is 140 inches and the height is 20 inches how wide is the house ?
m_a_m_a [10]

Answer:

Step-by-step explanation:

Area is half base × height

If area = 140 and height = 20 inches

base =140 ÷ 20 = 7 × 2 = 14 inches

3 0
4 years ago
plzzz finish 4, 5, 6, 9, 10, 11, 12, 14, and 15 you dont have to answer all but atleast anwer like 2 or 3 \( i scratched out the
nika2105 [10]

Answer:

4. -4

5. -2

6. -3

Step-by-step explanation:

4. -12 = 5r + 8

Subtract 8 from both sides;

-20 = 5r

Divide both sides by 5;

-4 = r OR r = -4

5. -6p - 3 = 9

Add 3 to both sides;

-6p = 12

Divide both sides by -6

p = -2

6. -14 = 4x - 2

Add 2 to both sides;

-12 = 4x

Divide both sides by 4;

-3 = x OR x = -3

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3 years ago
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Arte-miy333 [17]

Answer: 18450

Step-by-step explanation:

7 0
3 years ago
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enyata [817]

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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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