Use the law of cosines.
a2+b2−2abcosC=c2
Find the measure of angle C. It is the opposite side of c.
c2−a2−b2−2ab=cosC
cosC=13.62−22.52−182−2(22.5)(18)≈0.797
C=cos−10.797=0.649 rad=37.19∘
angle B:
a2+c2−2accosB=b2
cosB=b2−a2−c2−2ac
B=cos−1b2−a2−c2−2ac=cos−1182−22.52−13.62−2(22.5)(13.6)≈0.927 rad=53.13∘
angle A:
b2+c2−2bccosA=a2
A=89.68∘
Answer:
x = 25
∠CAB = 50°
∠CBA = 50°
Step-by-step explanation:
sum of angles of triangle = 180
2x + 2x + 80° = 180°
4x = 180 - 80
4x = 100
x = 25
∠CAB = 2x = 2 × 25 = 50°
∠CBA = 2x = 2 × 25 = 50°
Answer:
B
Step-by-step explanation:
In fact if we substitute x with 5 we have:
g(x) = (5-5)^2
g(x) = 0
this value is correct based on the graph
Answer:
376.8
Step-by-step explanation:
60*2*3.14
Answer:
A) 32.474 + 16.577
= 49.051
C) 19.213 + 4.578
= 23.791
Step-by-step explanation:
Place value may be defined as the positional system of a notation where the position of any number with reference to the decimal point determines the value of that number.
A) 32.474 + 16.577
= 49.051
B) 23.452 + 31.561
= 55.013
C) 19.213 + 4.578
= 23.791
D) 8.128 + 9.192
= 17.32
We have to find the expression which contains 1 in the thousandths place in the sum.
We know after the decimal point, the place value are designated as tenths, hundredths, thousandths, and so on.
Therefore, A). 49.051 and C). 23.791 has a place value of 1 in its thousandths place.