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3 years ago

How to simplify expressions

1 answer:

Volgvan3 years ago

8 0

You gather the like terms together.
if you have -3y +2x +6w -4 + 3y -5x +2w

you put the like terms together
so for the term y:

you have -3y +3y = 0

for x:

2x - 5x = -2x

for w:

6w + 2w = +8w

and you also had -4. if you put them together you get

0 -2x +8w -4
which is

-2x +8w -4

hope this helps

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5 5/6 divided by 3 1/6

Elenna [48]

Answer:14-1/3 if that makes sense to you

Step-by-step explanation:

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2 years ago

Help! This is due today!

bulgar [2K]

Answer:

27π

Step-by-step explanation:

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= 36π

36/4

= 9

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2 years ago

Determine the number of possible solutions for a triangle with B=37 degrees, a=32, b=27

vladimir1956 [14]

Answer:

Two possible solutions

Step-by-step explanation:

we know that

Applying the law of sines

$\frac{a}{sin(A)}=\frac{b}{Sin(B)}=\frac{c}{Sin(C)}$

we have

$a=32\ units$

$b=27\ units$

$B=37\°$

step 1

Find the measure of angle A

$\frac{a}{sin(A)}=\frac{b}{Sin(B)}$

substitute the values

$\frac{32}{sin(A)}=\frac{27}{Sin(37\°)}$

$sin(A)=(32)Sin(37\°)/27=0.71326$

$A=arcsin(0.71326)=45.5\°$

The measure of angle A could have two measures

the first measure-------> $A=45.5\°$

the second measure -----> $A=180\°-45.5\°=134.5\°$

step 2

Find the first measure of angle C

Remember that the sum of the internal angles of a triangle must be equal to $180\°$

$A+B+C=180\°$

substitute the values

$A=45.5\°$

$B=37\°$

$45.5\°+37\°+C=180\°$

$C=180\°-(45.5\°+37\°)=97.5\°$

step 3

Find the first length of side c

$\frac{a}{sin(A)}=\frac{c}{Sin(C)}$

substitute the values

$\frac{32}{sin(37\°)}=\frac{c}{Sin(97.5\°)}$

$c=Sin(97.5\°)\frac{32}{sin(37\°)}=52.7\ units$

therefore

the measures for the first solution of the triangle are

$A=45.5\°$ , $a=32\ units$

$B=37\°$ , $b=27\ units$

$C=97.5\°$ , $b=52.7\ units$

step 4

Find the second measure of angle C with the second measure of angle A

Remember that the sum of the internal angles of a triangle must be equal to $180\°$

$A+B+C=180\°$

substitute the values

$A=134.5\°$

$B=37\°$

$134.5\°+37\°+C=180\°$

$C=180\°-(134.5\°+37\°)=8.5\°$

step 5

Find the second length of side c

$\frac{a}{sin(A)}=\frac{c}{Sin(C)}$

substitute the values

$\frac{32}{sin(37\°)}=\frac{c}{Sin(8.5\°)}$

$c=Sin(8.5\°)\frac{32}{sin(37\°)}=7.9\ units$

therefore

the measures for the second solution of the triangle are

$A=45.5\°$ , $a=32\ units$

$B=37\°$ , $b=27\ units$

$C=8.5\°$ , $b=7.9\ units$

6 0

2 years ago

Roughly estimate the volume of a tennis ball in cubic cm by using 6 cm for diameter and 3 for pi. round the answer to the neares

galben [10]

The volume of ball is 113.04 cubic centimeter

Solution:

Given that we have to find the volume of tennis ball

Since the ball is of sphere shape, we can use the sphere formula

The volume of sphere is given by formula:

$V = \frac{4}{3} \times \pi \times r^3$

Where, "V" is the volume and "r" is the radius

Given that,

Diameter = 6 cm

Therefore,

$Radius = \frac{diameter}{2}\\\\Radius = \frac{6}{2}=3$

Substituting in formula, we get

$V = \frac{4}{3} \times 3.14 \times 3^3\\\\V = 4 \times 3.14 \times 3^2\\\\V = 12.56 \times 9\\\\V = 113.04$

Thus volume of ball is 113.04 cubic centimeter

3 0

3 years ago

If two angels are supplementary and one of them is 30 degrees what is the measurement for the second angle

drek231 [11]

Two angles are supplementary if they add up to 180°.

?+ 30°= 180°
⇒ ?= 180° -30°
⇒ ?= 150°

The measurement of the second angle is 150°.

6 0

3 years ago