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lorasvet [3.4K]

3 years ago

7

Find the distance d. Round your answer to the nearest tenth. Show the steps to solve.

1 answer:

Marina86 [1]3 years ago

7 0

Answer: $\sqrt{29}$

Step-by-step explanation: d is length of a hypotenuse in triangle. Use Pytago theorem d = $\sqrt{2^{2}+5^{2} } =\sqrt{29}$

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Subtract fractions with different denominators

Tems11 [23]

Answer:

$\frac{10}{15}-\frac{2}{5}=\frac{4}{15}$

Step-by-step explanation:

We know that

A fraction consists of two integers—one on the top, and one on the bottom.
The top one is numerator, the bottom one is denominator, and
These two numbers are separated by a line.

Let us consider two different fractions with different denominators

$\frac{10}{15}$

$\frac{2}{5}$

Lets subtract the two fractions

$\frac{10}{15}-\frac{2}{5}\:\:\:\:$

$\mathrm{Cancel\:}\frac{10}{15}:\quad \frac{2}{3}$

$=\frac{2}{3}-\frac{2}{5}$

$\mathrm{Least\:Common\:Multiplier\:of\:}3,\:5:\quad 15$

$\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}$

$\mathrm{For}\:\frac{2}{3}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:5$

$\frac{2}{3}=\frac{2\cdot \:5}{3\cdot \:5}=\frac{10}{15}$

$\mathrm{For}\:\frac{2}{5}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:3$

$\frac{2}{5}=\frac{2\cdot \:3}{5\cdot \:3}=\frac{6}{15}$

so

$=\frac{10}{15}-\frac{6}{15}$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

$=\frac{10-6}{15}$

$\mathrm{Subtract\:the\:numbers:}\:10-6=4$

$=\frac{4}{15}$

Therefore,

$\frac{10}{15}-\frac{2}{5}=\frac{4}{15}$

5 0

2 years ago

I really need help here !!:c

shepuryov [24]

Answer: $5.6^{3}+0.6^{2}+2.^{1}+4.6^{0}$

which will be 1096 in base 10

Step-by-step explanation:

$5024_{six}$ in expanded form to base 10 will be :

$5.6^{3}+0.6^{2}+2.^{1}+4.6^{0}$

which will be

$5(216)+0(36)+2(6)+4(1)$

⇒1080+0+12+4

= 1096

7 0

3 years ago

Help Please ASAP!<br> what is 7⋅8÷4⋅37⋅8÷4⋅3

Black_prince [1.1K]

7x8÷4x37x8÷4x3 = 3108/1 = 3108

7 0

2 years ago

Which expression shows how to find 5/6 divided 2/3?

Yuliya22 [10]

1 1/4

Step-by-step explanation:

Use this to get answer for Fractions Cacluatorsoup. com

5 0

3 years ago

Read 2 more answers

What is the solution for 15= -x +10

Alja [10]

Answer:

-5

Step-by-step explanation:

15=-x+10

x-10=-15

x=-15+10

x=-5

6 0

3 years ago

Read 2 more answers