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2 years ago

Find the length of AB if AC=18 and BC=7

Mathematics

1 answer:

kotegsom [21]2 years ago

3 0

Answer:

Step-by-step explanation:

Step 1:

AC + BC = AB Equation

Step 2:

18 + 7 = AB Substitute

Answer:

25 Add

Hope This Helps :)

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Which fraction is equivalent to 2/6?

Dominik [7]

1/3 is equivalent to 2/6
If you know (2) goes into both, 2 and 6, you can divide 2 into the top and bottom number and get 1/3

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2 years ago

Troy’s gross pay is $4,276.88. His deductions total $1,320.69. What percent of his gross pay is take-home pay? A) 30% B) 31% C)

Mama L [17]

According to my calculations, if they are correct, the answer is A.30%

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2 years ago

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What is the true solution to the equation below?

Marina CMI [18]

Answer:

The solution is:

$x=4$

Step-by-step explanation:

Considering the expression

$lne^{lnx}+lne^{lnx}^{^2}=2ln8$

$\ln \left(e^{\ln \left(x\right)}\right)+\ln \left(e^{\ln \left(x\right)\cdot \:2}\right)=2\ln \left(8\right)$

$\mathrm{Apply\:log\:rule}:\quad \:log_a\left(a^b\right)=b$

$\ln \left(e^{\ln \left(x\right)}\right)=\ln \left(x\right),\:\space\ln \left(e^{\ln \left(x\right)2}\right)=\ln \left(x\right)2$

$\ln \left(x\right)+\ln \left(x\right)\cdot \:2=2\ln \left(8\right)$

$\mathrm{Add\:similar\:elements:}\:\ln \left(x\right)+2\ln \left(x\right)=3\ln \left(x\right)$

$3\ln \left(x\right)=2\ln \left(8\right)$

$\mathrm{Divide\:both\:sides\:by\:}3$

$\frac{3\ln \left(x\right)}{3}=\frac{2\ln \left(8\right)}{3}$

$\ln \left(x\right)=\frac{2\ln \left(8\right)}{3}.....A$

Solving the right side of the equation A.

$\frac{2\ln \left(8\right)}{3}$

$\ln \left(8\right):\quad 3\ln \left(2\right)$

Because

$\ln \left(8\right)$

$\mathrm{Rewrite\:}8\mathrm{\:in\:power-base\:form:}\quad 8=2^3$

⇒ $\ln \left(2^3\right)$

$\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)$

$\ln \left(2^3\right)=3\ln \left(2\right)$

$\frac{2\ln \left(8\right)}{3}=\frac{2\cdot \:3\ln \left(2\right)}{3}$

$\mathrm{Multiply\:the\:numbers:}\:2\cdot \:3=6$

$=\frac{6\ln \left(2\right)}{3}$

$\mathrm{Divide\:the\:numbers:}\:\frac{6}{3}=2$

$=2\ln \left(2\right)$

So, equation A becomes

$\ln \left(x\right)=2\ln \left(2\right)$

$\mathrm{Apply\:log\:rule}:\quad \:a\log _c\left(b\right)=\log _c\left(b^a\right)$

$=\ln \left(2^2\right)$

$=\ln \left(4\right)$

$\ln \left(x\right)=\ln \left(4\right)$

$\mathrm{Apply\:log\:rule:\:\:If}\:\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right)\:\mathrm{then}\:f\left(x\right)=g\left(x\right)$

$x=4$

Therefore, the solution is

$x=4$

6 0

2 years ago

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I NEED HELP ASAP PLEASE!! ;)

Zigmanuir [339]

Answer:

7 inches

Step-by-step explanation:

First you have to find the average height of each class.

4th Grade:

56, 47, 54, 51, 53, 58, 48, 54, 46, 53

Then you have add it all up and divide it by how many students there are.

56 + 47 + 54 + 51 + 53 + 58 + 48 + 54 + 46 + 53 = 520

520 ➗10= 52

Same process for the 7th Grade.

You end up getting 52 and 59. You then Subtract it to get the answer to the question.

52 - 59= 7 inches

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2 years ago

A sailboat travels a distance of 2 1/2 miles in 1/6 of an hour. Which complex fraction represents the unit rate in miles per hou

Vsevolod [243]

1/6 of an hour= 10 because 60mins=1hour & 60/6=10 so the sailboat travels 2 1/2 miles in 10 mins. So the complex fraction would be 2 &1/2 over 10. Hope it helps!

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2 years ago

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