Mark ordered 6 boxes of baseballs that each contained 12 baseballs. Then he bought 7 more baseballs. Finally, he returned 3 baseballs because the seams were split. How would you calculate the total number of baseballs Mark has now?

Answers

Answer 1

Answer:

Answer: 76 baseballs

Step-by-step explanation:

(boxes of baseballs) 12x6= 72. 72+7=79. 79-3=76. So 76 baseballs. Hope this helps :) Easy Math

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Solve the triangle.

B = 72°, b = 12, c = 8

Answers

Answer:

Part 1) $C=39.3\°$

Part 2) $A=68.7\°$

Part 3) $a=11.8\ units$

Step-by-step explanation:

we know that

Applying the law of sines

$(a)/(sin(A))=(b)/(sin(B)) =(c)/(sin(C))$

In this problem we have

$B=72\°$

$b=12\ units$

$c=8\ units$

Step 1

Find the measure angle C

$(b)/(sin(B)) =(c)/(sin(C))$

substitute the values and solve for C

$(12)/(sin(72\°)) =(8)/(sin(C))\n \nsin(C)=sin(72\°)*(8/12)\n \nsin(C)= 0.6340\n \nC=39.3\°$

Step 2

Find the measure of angle A

we know that

The sum of the internal angles of the triangle must be equal to $180$ degrees

$m<A+m<B+m<C=180\°$

we have

$m<B=72\°$

$m<C=39.3\°$

$m<A+72\°+39.3\°=180\°$

$m<A=180\°-72\°-39.3\°=68.7\°$

Step 3

Find the measure of side a

Applying the law of cosines

$a^(2)=b^(2)+c^(2)-2(b)(c)cos(A)$

substitute

$a^(2)=12^(2)+8^(2)-2(12)(8)cos(68.7\°)$

$a^(2)=208-(192)cos(68.7\°)$

$a^(2)=138.26$

$a=11.8\ units$

The answer is 12^2=x^2+8^2-16x(cos(72°)
x^2-4.9443x=80
(x-2.4721)^2=86.1115
x-2.4721=±9.2796
x=11.7517

B=72°, b=12, c=8, a=11.8
C=arcsin(8/12*sin(72°))=39.3°
A=68.7°

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Answers

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Answers

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