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Mathematics

1 answer:

Nataliya [291]2 years ago

4 0

Answer:
6
Step-by-step explanation:
as Follows in the attachment, please mark me as a brainliest

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What's 5 - the square root of x + 10 = the square root of 7 - x

Tcecarenko [31]

$\bf 5-\sqrt{x+10}=\sqrt{7-x}\impliedby \textit{squaring both sides}
\\\\\\
(5-\sqrt{x+10})^2=(\sqrt{7-x})^2
\\\\\\
(5^2)-10\sqrt{x+10}+(x+10)=7-x
\\\\\\
35-10\sqrt{x+10}+x=7-x\implies 28-10\sqrt{x+10}+2x=0
\\\\\\
2x+28=10\sqrt{x+10}\implies x+14=5\sqrt{x+10}\impliedby 
\begin{array}{llll}
squaring\ both\\
sides\ again
\end{array}
\\\\\\
$

$\bf (x^2)+28x+(14^2)=5^2(x+10)\implies x^2+28x+196=25x+250
\\\\\\
\begin{array}{lcclll}
x^2&+3x&-54&=0\\
&\uparrow &\uparrow \\
&-6+9&-6\cdot 9
\end{array} \implies (x+9)(x-6)=0\implies 
\begin{cases}
x+9=0\\
\boxed{x=-9}\\
-----\\
x-6=0\\
\boxed{x=6}
\end{cases}$

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3 years ago

The pattern for the kite calls for 169 square inches of fabric. What is the

lys-0071 [83]

Answer:

13 inches.

Step-by-step explanation:

Square root 169 and you will get the answer 13. Hope this helped.

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3 years ago

What is 3/1,000 as a decimal

Katen [24]

Answer: 3/1000 as a decimal is 0.003.

Explanation;

3/10 = 0.3

0.3/10 = 0.03

0.03/10 = 0.003

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2 years ago

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Janice examines the given triangle and estimates that

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Answer:

Janice examines the given triangle and estimates that the longest side has a length of 25 units―if it is a right triangle. How does her estimate compare to the actual length? It is under by approximately 0.6 units.

Step-by-step explanation:

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3 years ago

80% of 60 is 1/5 of what number?

Oksi-84 [34.3K]

Well, if 80% of 60 is 48, and 48x5 is 240, 80% of 60 is 240.

Answer: 240

Hope this helps! Xo

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4 years ago