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2 years ago

Find the missing lengths of the sides.

Mathematics

1 answer:

Irina18 [472]2 years ago

3 0

Answer:

The choice third ; a=9 , c= 18

Step-by-step explanation:

$\sin(60) = \frac{9 \sqrt{3} }{c} \\ \\ c = 18$

$\tan(30) = \frac{a}{9 \sqrt{3} } \\ \\ a = 9$

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What is 1,000,000,000,000 as a power of 10?

alexandr1967 [171]

Answer:

1,000,000,000 as a power of 10, is: 10^12

Step-by-step Solution:

We can expand 1,000,000,000, and write this number as a multiplication sentence using only the number 10. By doing this, we can count the number of tens needed to be multiplied to get to his answer:

1,000,000,000 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

Since 10 is multiplied by itself 12 times, we can therefore say that 10^12 is equal to 1,000,000,000

7 0

2 years ago

Read 2 more answers

4) What is the unit rate? Explain what the unit rate means in this context.

hram777 [196]

Answer:

Unit rate in most contexts is how much a item cost if it is sold as a single serving(unit)

If you are trying to have a problem solved or it doesnt invovle price, please include the problem as well

8 0

3 years ago

Two fractions negative whose product is 5/8

Andreyy89

You could do -1/-2 times -5/-4 which would be 5/8

8 0

3 years ago

W 3: <img src="https://tex.z-dn.net/?f=2x%28x%20-%203%29%20%3D%200%20" id="TexFormula1" title="2x(x - 3) = 0 " alt="2x(x -

katrin [286]

Answer:

x = 3, x = 0

Step-by-step explanation:

To solve these factored equations, just divide each part by zero and solve.

2x(x-3) = 0 → (x-3) = 0, and 2x = 0.

(x-3) = 0 → x - 3 + 3 = 0 + 3 → x = 3.

2x = 0 → 2x/2 = 0/2 → x = 0.

5 0

3 years ago

Find all points on the circle (x^2) + (y^2) = 676 where the slope is 5/12

borishaifa [10]

Implicit defferentation

remember that dy/dx y= dy/dx

so
take derivitive of both sides
$2x+2y \space\ \frac{dy}{dx}=0$
solve for $\frac{dy}{dx}$
minus 2x both sides
$2y \space\ \frac{dy}{dx}=-2x$
divide both sides by 2y
$\frac{dy}{dx}=\frac{-2x}{2y}$
$\frac{dy}{dx}=\frac{-x}{y}$

when is the slope equal to $\frac{5}{12}$
solve for $\frac{dy}{dx}=\frac{5}{12}$
$\frac{dy}{dx}=\frac{5}{12}$
$\frac{5}{12}=\frac{-x}{y}$
$5y=-12x$
$y=\frac{-12}{5}x$
find where the circle and this line intersects

substitute $\frac{-12}{5}x$ for y
$x^2+(\frac{-12}{5}x)^2=676$
$x^2+\frac{144}{25}x^2=676$
$\frac{25}{25}x^2+\frac{144}{25}x^2=676$
$\frac{169}{25}x^2=676$
times both sides by $\frac{25}{169}$
$x^2=100$
sqrt both sides, take positive and negative roots
x=+/-10

sub back

$y=\frac{-12}{5}x$
$y=(\frac{-12}{5})(10) \space\ or \space\ (\frac{-12}{5})(-10)$
$y=\frac{-120}{5} \space\ or \space\ \frac{120}{5}$
$y=-24 \space\ or \space\ 24$

the points are (10,-24) and (-10,24)

8 0

3 years ago