All categories

3 years ago

I NEED HELP ASAP this question is worth 10 points

Mathematics

1 answer:

Margarita [4]3 years ago

7 0

Answer:

X 5 10 15 20 15

Y 25 50 75 100 125

Y = 5X

k = 5

option C

You might be interested in

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

Help Urgent factoring quadratic expressions

Natalija [7]

Answer:The four main types of factoring are the Greatest common factor (GCF), the Grouping method, the difference in two squares, and the sum or difference in cubes.

Step-by-step explanation:

Factoring is a financial transaction and a type of debtor finance in which a business sells its accounts receivable (i.e., invoices) to a third party (called a factor) at a discount. A business will sometimes factor its receivable assets to meet its present and immediate cash needs.

7 0

3 years ago

The region bounded by y=5/x, y=0, x=1, and x=3 is rotated about the x-axis. find the volume of the resulting solid.

brilliants [131]

Volume of Revolution = $\pi \int\limits^b_a {y^{2}} \, dx$
Volume of Revolution = $\pi \int\limits^3_1 { (\frac{5}{x})^{2}} \, dx$
= $\pi \int\limits^3_1 ({\frac{25}{x^{2}}) \, dx$
= $25\pi \int\limits^3_1 ({\frac{1}{x^{2}}) \, dx$
= $25\pi \int\limits^3_1 ({x^{-2}}) \, dx$
= $25\pi \ ^{3} [-x^{-1}] _{1} 
$
$= 25\pi\ ((-1/3) - (-1/1)) \\
= 25\pi\ (2/3) \\
= 50/3 \pi\ units^{3}$

6 0

4 years ago

Linda is making a line plot of the data below.

Phantasy [73]

Answer:

Least: 10.5

Greatest: 14.125

Hope that helps!

Step-by-step explanation:

8 0

4 years ago

PLEASE I NEED HELP ASAP !!

balandron [24]

Answer:

one solution.............

4 0

3 years ago

Read 2 more answers