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3 years ago

A. Identify the parts of this Expression 4y+ 5x - 22 + 6.

Mathematics

1 answer:

xenn [34]3 years ago

5 0

Answer:

Constant= -22, 6

Variables=x,y

Coefficient= 4,5

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A water tank has 800 liters of water and is going to be drained at a rate of 15 liters per minute.

Verdich [7]

I think that’d be 53.3 till the water’s fully out.

8 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

Sides are added to a convex polygon so that the sum of its interior angle measures is increased by 540°. How many sides are adde

Aleksandr [31]

Answer:

Step-by-step explanation:

Angle sum property formula

(n-2)180 (where n is the number of sides)

=>(n-2)180=540

=>n-2=540/180

=>n-2=3

=>n=3+2

=>n=5

6 0

3 years ago

Read 2 more answers

What is the length of side BC of the triangle? Enter your answer in the box.

kondor19780726 [428]

The triangle is an equiangular triangle so that means it must be an equilateral triangle.

3x - 3 = x + 8

2x = 11

x = 5.5

BC = 3(5.5) - 3

BC = 13.5

7 0

4 years ago

Read 2 more answers

If Mags (m) is 34 years old, how old is Vector (V) m=v+2 A. V=64 B. V=68 C. V=36 D. V=32

IceJOKER [234]

Answer:

Step-by-step explanation:

Mags is 34. If Vector's age+2 is equal to Mags' age, and she is 34, just subtract 2 from 34, which equals 32.

8 0

3 years ago