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sergiy2304 [10]

3 years ago

6

Bill ate 1 fourth of trail mix on his first break during a hiking trip.On his second break,he ate 1 sixth pound .How many pounds

of trail mix did he eat during both breaks

1 answer:

OLga [1]3 years ago

4 0

Bill ate 1/4 of a pound and then 1/6 of a pound.
All together, we can find out how much he ate if we add the fractions. But first, we have to expand them to a common denominator. We can see that a number that is both divisible by 6 and 4 is 12, so we expand until both of their denominators are 12.

1/4 * 3/3 = 3/12
1/6 * 2/2 = 2/12

Now add them, and you get 5/12. In total, Bill ate 5/12 of a pound of trail mix.

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How do you square a variable

77julia77 [94]

To square means to multiply something by itself. A variable is a letter such as x. So a squared variable=x×x=x^2.
I hope that helped.

8 0

3 years ago

There is a spinner with 9 equal areas, numbered 1 through 9. If the spinner is spun one time, what is the probability that the r

tangare [24]

Answer:

If we think of the numbers 1 through nine, only 1 of those numbers is a multiple of 2 AND 3 and that number is 6.

So, basically, the question is asking what is the probability that "6" will appear. That is a one out of 9 probability or 1/9 or 11.11%

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

2x-1 less than -1 or -4x less than -12

Bond [772]

The solution to these equations is either x < 0 or x > 3.

In order to find them, we need to solve each equation separately. Let's start with the first one.

2x - 1 < -1 -----> Add 1 to both sides

2x < 0 -----> Now divide each side by 2.

x < 0

Now let's look at the second one.

-4x < -12 ----> Divide both sides by -4

x > 3 (Notice that the sign changes direction because we divided by a negative)

When you have an "or" statement, you'll wind up with two answers, so we use both of these.

6 0

3 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

3 years ago

25 Points!!! Help plzz!! Will give Brainliest!!!

Lady_Fox [76]

Answer:

Option C : ASA

Step-by-step explanation:

Side WS Lies between ∠W and ∠S

Side NT lies between ∠N and ∠T

Hence the theorem which supports the congruency of the two triangles

is ASA

Angle - Side - Angle

3 0

2 years ago