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zmey [24]
3 years ago
10

A rectangular book measures 18 x 9. What is the length of its diagonal? Round your answer to the nearest tenth

Mathematics
1 answer:
avanturin [10]3 years ago
6 0

Answer:

20.1246118 or 20.12

Step-by-step explanation:

First draw the box with the diagonal, as you can see it is split into 2 equal right triangles. Now use the pythagorean theorem (a^2+b^2=c^2) to find the length of the diagonal

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Will mark brainlest how to multipy it​
Lesechka [4]

Answer:

\displaystyle x   = 2 \sqrt{3}

Step-by-step explanation:

we would like to solve the following equation:

\displaystyle  \sqrt{3}  =  \frac{6}{x}

in order to do so do cross multiplication:

\displaystyle x \sqrt{3}  =  6

divide both sides by √3:

\displaystyle x   =   \frac{6}{ \sqrt{3}}

since we ended up with a square root on the denominator so we can consider rationalising the denominator to do so multiply both numerator and denominator by √3 which yields:

\displaystyle x   =   \frac{6}{ \sqrt{3}}  \times  \frac{ \sqrt{3} }{ \sqrt{ 3} }

simplify multiplication:

\displaystyle x   =   \frac{6 \sqrt{3} }{ 3}

reduce fraction:

\displaystyle x   = 2 \sqrt{3}

and we are done!

6 0
3 years ago
the moon is 240,000 miles away from earth what is this distance written as as a whole number by a power of 10
Brut [27]
24,000^10

Hope this helps!
6 0
3 years ago
The value of y varies directly as x and y is 9 when x is -3 what constant of variation k?
Lady bird [3.3K]
Y/x=k

when y=9, then x= -3
        9/-3=-3
⇒ k= -3
7 0
3 years ago
Jane will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $55 and costs an add
pishuonlain [190]
She will need to drive 110 miles to be the same
4 0
3 years ago
How would I solve <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20x-%5Cfrac%7B5%7D%7B3%7D%20%3D-%5Cfrac%7B1%7D%7B2%7D%
sdas [7]
Multiply both sides of the equation by 12. Move the variables to the left-hand side and change its sign. Move the constant to the left-hand side and change its sign. Collect like terms. Add the numbers. Divide both sides of the equation by 12.

1/2 x - 5= - 1/2 x + 19/4
6x -20= - 6x + 57
6x + 6x= 57 + 20
12x= 57 + 20
12x= 77
ANSWER
x = 77/12
Alternative Form .
x = 6 5/12, x= 6.416
7 0
3 years ago
Read 2 more answers
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