Answer:
Combine like terms - 3+x=4
Given - 3 +4x -3x =4
Subtraction Property of Equality- x=1
Answer:
75
Step-by-step explanation:
100-25=75
<span>The problem is to calculate the angles of the triangle. However, it is not clear which angle you have to calculate, so we are going to calculate all of them
</span>
we know that
Applying the law of cosines
c²=a²+b²-2*a*b*cos C------> cos C=[a²+b²-c²]/[2*a*b]
a=12.5
b=15
c=11
so
cos C=[a²+b²-c²]/[2*a*b]---> cos C=[12.5²+15²-11²]/[2*12.5*15]
cos C=0.694------------> C=arc cos (0.694)-----> C=46.05°-----> C=46.1°
applying the law of sines calculate angle B
15 sin B=11/sin 46.1-----> 15*sin 46.1=11*sin B----> sin B=15*sin 46.1/11
sin B=15*sin 46.1/11-----> sin B=0.9826----> B=arc sin (0.9826)
B=79.3°
calculate angle A
A+B+C=180------> A=180-B-C-----> A=180-79.3-46.1----> A=54.6°
the angles of the triangle are
A=54.6°
B=79.3°
C=46.1°
Answer:
Total cost of topps card = $104.5
Step-by-step explanation:
Given:
Cost of each topps card = $5.50
Cost of each fleer card = $3.90
Total number of cards = 46
Total cost = $209.80
Find:
Total cost of topps card
Computation:
Assume;
Number of topps card = T
Number of fleer card = F
So,
T + F = 46.......eq1
and
Total cost of topps card = 5.50T
Total cost of fleer card = 3.90F
So,
5.50T + 3.90F = 209.80.....eq2
eq1 x 3.90
3.90T + 3.90F = 179.4.......eq3
eq2 - eq3
1.6T = 30.4
T = 19
Number of topps card = 19
Total cost of topps card = 5.50(19)
Total cost of topps card = $104.5
Number four is 60%
Don’t mind this