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3 years ago

Find the length of a right triangle if a=6 and b=8

Mathematics

1 answer:

gulaghasi [49]3 years ago

5 0

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

6^2 + 8^2 = c^2

36 + 64 = 100

Square root of 100 is 10

a=6 b=8 c=10

I'm so sorry if I got this wrong.

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Ruben bought 6 new books for his collection. This increased his collection by 12%. How many books did he have before his purchas

Norma-Jean [14]

Answer: The required number of books that Ruben had before purchases is 50.

Step-by-step explanation: Given that Ruben bought 6 new books for his collection that increased his collection by 12%.

We are to find the number of books that Ruben had before purchases.

Let x denotes the number of books that Ruben had before purchases.

Then, according to the given information, we have

$x+6=x+12\%\times x\\\\\\\Rightarrow 6=\dfrac{12}{100}x\\\\\\\Rightarrow 6=\dfrac{3x}{25}\\\\\\\Rightarrow 3x=150\\\\\Rightarrow x=\dfrac{150}{3}\\\\\Rightarrow x=50.$

Thus, the required number of books that Ruben had before purchases is 50.

4 0

3 years ago

What fraction is the other race?

dolphi86 [110]

Answer:

Solve for x

Step-by-step explanation:

$\frac{1}{4} + \frac{1}{12} + \frac{2}{9} + x=1$

7 0

3 years ago

Read 2 more answers

What is the slope of the line?

butalik [34]

let us assume that make inclination θ

with positive direction of x-axis then slope(m) of the line is given by

m=tanθ.

Hope it helps ☺☺

Mark as brainleist plz .

8 0

2 years ago

Read 2 more answers

The magnitudes of the moon and sirius are -12.5 and -1.44, respectively. approximately how many times is the moon brighter than

Lelu [443]

Solution:

we are given that

The magnitudes of the moon and Sirius are -12.5 and -1.44 respectively.

we have been asked to find approximately how many times is the moon brighter than Sirius?

The word magnitude is used by the scientist to describe the brightness of moon/star/object etc.

So we can find the brightness by dividing the given values. so we get

$\frac{-12.5}{-1.44} =8.6805$

Hence we can say

The moon is 8.68 times brighter than Sirius.

3 0

3 years ago

Use a system of equations to solve this problem.

Grace [21]

X = amount of seeds.

y = amount of dried fruits.

we know the snack mix contains both, and we know is 10oz, thus x + y = 10, whatever ounces "x" and "y" are.

how much is it for "x" ounces if each one costs $1.5? well is just 1.5*x or 1.5x.

how much is it for "y" ounces if each one costs $2.5? well is just 2.5*x or 2.5x.

the mix contains 10 ounces, each of which costs $2.2 each, how much will it be then for 10 oz? well, is just 10 * 2.2, or $22.

since the whole 10 oz snack mix costs 22 bucks, then 1.5x + 2.5y = 22.

$\bf \begin{cases}
x+y=10\implies \boxed{y}=10-x\\
1.5x+2.5y=22\\
-------------\\
1.5x+2.5\left( \boxed{10-x} \right)=22
\end{cases}
\\\\\\
1.5x+25-2.5x=22\implies -x+25=22\implies 3=x$

how many ounces of dried fruit is there anyway? well, y = 10 - x.

4 0

3 years ago