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4 years ago

How many times does 4 go into 74

Mathematics

2 answers:

Bogdan [553]4 years ago

7 0

74/4 = 18.5

4 goes into 74 18.5 times

18.5 is your answer

hope this helps

kolbaska11 [484]4 years ago

7 0

divide 74 by 4

74 / 4 = 18.5

4 goes into 74 18 times with a remainder of 2

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They collected 351 books this year

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Multiply 2x7/3 what is the answer<br>

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14/3

Step-by-step explanation:

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3 years ago

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A family goes out to eat. The meal costs $44. The sales tax rate is 9%. They leave a 20% tip. How much did they spend?

REY [17]

Answer:

$56.76

Step-by-step explanation:

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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

you earn 10 points for every coin you collect in a video game. then you find a star that triples your score. write and simplify

Tomtit [17]

Answer:

The required expression for total number of points you earn is $P=10c+3p$ .

Step-by-step explanation:

Consider the provided information.

Let c represents the coin and p represents the points before getting star.

You earn 10 points for every coin you collect in a video game.

$p=10c$ ......(1)

You find a star that triples your score.

$star=3p$

Now the total number of points you earn is(P):

$P=10c+3p$

Substitute the value of p from equation 1.

$P=10c+3(10c)$

$P=40c$

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4 years ago