Which number sentence could be used to solve this problem?

A ball of yarn was cut up into 45 strips that each measure 6 inches long. How much yarn was in the ball to begin with?

45 + 6 = y

45 – 6 = y

45 ÷ 6 = y

45 × 6 = y

The last one which would be 45 x 6 = y

Step-by-step explanation:

If the ball of yarn was cut up into 45 stripes that each measure 6 inches long then you would have to multiply 45 x 6 which equals 270 inches so there was 270 stripes in the ball of yarn to begin with

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.