Answer:
(1) 12 boxes (2) 1173 points
Step-by-step explanation:
(1) Jamie needs to fit all if his toys in the boxes, so you would need to do 103 times 9, making it 11.4. So, you'd need twelve boxes to fit all of he toys into boxes.
(2) The contestant earned 69 points, and each of those points are worth 17 points, meaning you have to do 17 times 69, which is 1173
.
Answer:
-24
Step-by-step explanation:
we know that
step 1
applying the law of sines
find the angle B
a/sin A=b/sin B-----> solve for sin B
sin B=(b/a)*sin A-----> sin B=(29/26)*sin 58-----> sin B=0.9459
B=arc sin(0.9459)------> B=71.07------> B=71.1°
step 2
Find the angle C
we know that
A+B+C=180°-------------> C=180-(58+71.1)-----> C=50.9°
Step 3
Find the measure of side c
applying the law of sines
a/sin A=c/sin C------> solve for c
c=a*(sin C/sin A)-----> c=26*(sin 50.9/sin 58)-----> c=23.79-----> c=23.8
the first solution is
A=58° B=71.1° C=50.9°
a=26 b=29 c=23.8
step 4
second solution
Find the new angle B
B=180°-71.1°-------> B=108.9°
Step 5
Find the new angle C
we know that
A+B+C=180°-------------> C=180-(58+108.9)-----> C=13.1°
Step 6
Find the new measure of side c
applying the law of sines
a/sin A=c/sin C------> solve for c
c=a*(sin C/sin A)-----> c=26*(sin 13.1/sin 58)-----> c=6.95-----> c=7
the second solution is
A=58° B=108.9° C=13.1°
a=26 b=29 c=7
the answer is
the problem has 2 solutions
