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3 years ago

In ΔABC, the measure of ∠C=90°, the measure of ∠A=78°, and BC = 6.6 feet. Find the length of CA to the nearest tenth of a foot.

Mathematics

1 answer:

Vanyuwa [196]3 years ago

3 0

Answer:

1.4 feet

Step-by-step explanation:

I got it right on delta

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A student solves the following equation and

Phoenix [80]

Answer:

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

Step-by-step explanation:

Considering the expression

$\frac{3}{a+2}-6\cdot \frac{a}{-4+a^2}=\frac{1}{a-2}$

$\frac{3}{a+2}-\frac{6a}{-4+a^2}=\frac{1}{a-2}$

$\mathrm{Find\:Least\:Common\:Multiplier\:of\:}a+2,\:-4+a^2,\:a-2:\quad \left(a+2\right)\left(a-2\right)$

$\mathrm{Multiply\:by\:LCM=}\left(a+2\right)\left(a-2\right)$

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right)-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right)=\frac{1}{a-2}\left(a+2\right)\left(a-2\right)$

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right):\quad 3\left(a-2\right)$

$-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right):\quad -6a$

$\frac{1}{a-2}\left(a+2\right)\left(a-2\right):\quad a+2$

so equation becomes

$3\left(a-2\right)-6a=a+2$

$-3a-6=a+2$

$-3a-6+6=a+2+6$

$-4a=8$

$\mathrm{Divide\:both\:sides\:by\:}-4$

$\frac{-4a}{-4}=\frac{8}{-4}$

$a=-2$

$\mathrm{Verify\:Solutions}$

$\mathrm{Take\:the\:denominator\left(s\right)\:of\:}\frac{3}{a+2}-6\frac{a}{-4+a^2}-\frac{1}{a-2}\mathrm{\:and\:compare\:to\:zero}$

$\mathrm{Solve\:}\:a+2=0:\quad a=-2$

$\mathrm{Solve\:}\:-4+a^2=0:\quad a=2,\:a=-2$

$\mathrm{Solve\:}\:a-2=0:\quad a=2$

So the following points are undefined

$a=-2,\:a=2$

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

4 0

3 years ago

16055 divided by 16?

AveGali [126]

Answer:

1003.4375

Step-by-step explanation:

16055/16 is 1003.4375

8 0

3 years ago

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Victor is making lemonade. His first recipe calls for 2 cups of water and the juice from 12 lemons. His second recipe says he wi

Sphinxa [80]

Answer:

B. recipe 1

Step-by-step explanation:

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3 years ago

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What is the product

Talja [164]

Answer:

6 12 2

0 0 0

0 6 2

Step-by-step explanation:

multiply each single number in each row with the number in the same row but across the multiplication symbol.

3 x 2 = 6

6 x 2 = 12

etc

6 0

4 years ago

a circle has a center at (3,5) the point (3,8) is on the circle what is the circumference of the circle to the nearest tenth of

kogti [31]

You need to use the distance formula to find the radius of the circle.

$d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2} \\ \\ d = \sqrt{(3-3)^2 + (8-5)^2} \\ \\ d = \sqrt{0^2+3^2} \\ \\ d = \sqrt{9} = 3$

The radius is 3.

The circumference is $2 \pi r$

$= 6\pi \\ \\ =18.8$

3 0

3 years ago