2 A cafe sells cakes and scones.

For the data set shown in the scatterplot, what is the BEST approximation of the y-intercept for the line of best fit? A) 0 B) 5

Angelina_Jolie [31]

Answer:

C) 125

Step-by-step explanation:

If you add a line of best fit, its extension is likely to intersect the y-axis between 200 and 100 but closer to 100.

The best estimate is choice C) 125

4 0

2 years ago

What is the value of x when f(x)=8? A. 1 B. 3 C. 0 D. 2

Natasha_Volkova [10]

Answer: 1

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

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

a recipe requires 2.5 teaspoons of sugar to make a candy bar. which equation shows the number of teaspoons of sugar, y, needed t

padilas [110]

If you would like to know the equation that shows the number of teaspoons of sugar needed to make x candy bars, you can calculate this using the following steps:

2.5 teaspoons of sugar ... 1 candy bar
y teaspoons of sugar = ? ... x candy bars = ?

2.5 * x = 1 * y
2.5 * x = y
y = 2.5 * x

The correct result would be y = 2.5 * x.

5 0

3 years ago

Please help. Round 7,165.482 to the nearest hundredth.

FrozenT [24]

I believe the answer is C.

7 0

3 years ago

Read 2 more answers