Answer:
<B = 47°
<C = 28°
b = AC = 28.0
Step-by-step explanation:
Given:
∆ABC
AB = c = 18
BC = a = 37
<A = 105°
Required:
Length of AC = b
measure of angle B and angle C
SOLUTION:
==>Use the sine rule, sin A/a = sinC/c to find the angle of C:
SinA = sin(105) = 0.9659
a = 37
sinC = ?
c = 18
0.9659/37 = sinC/18
Cross multiply
0.9659*18 = 37*sinC
17.3862 = 37*sinC
Divide both sides by 37
17.3862/37 = sinC
0.4699 = sinC
sinC = 0.4699
C = Sin-¹(0.4699)
C = 28.0° (nearest tenth)
==>Find angle B using sum of angles in a triangle:
Angle B = 180 - (105+28)
Angle B = 180 - 133
Angle B = 47°
==>Find length of b using sine rule, b/sinB = c/sinC:
SinC = sin(28) = 0.4695
SinB = sin(47) = 0.7314
c = 18
b = ?
b/0.7314 = 18/0.4695
Cross multiply
b*0.4695 = 18*0.7314
b*0.4695 = 13.1652
Divide both sides by 0.4695
b = 13.1652/0.4695
b = 28.0 (nearest tenth)
Answer:
Step-by-step explanation:
Firat triangle has a=4cm and b=a and P1=a*b/2=4*4/2=8cm^2
First parallelogram has h=4cm (from first triangle) and a=5.7cm
P2=a*h=22.8cm^2
Big triangle has h=4 and a=5.7+4=9.7
P3=a*h/2=9.7*4/2=19.4
And 4th triangle has the same are lik the first one, P4=8.
P=8+22.8+19.4+8=58.2cm^2
Hence the correct answer is C) -23
Further explanation:
We have to put the values of m and n into both expression first separately and then multiply the answers.
Given expressions are:

The values are:

Putting the values in expression 1:

Putting the values of m and n in second expression

Multiplying both expressions:

Hence the correct answer is C) -23
Keywords: Polynomials, Putting values in expressions
Learn more about polynomials at:
#LearnwithBrainly
Answer:
The cost of bicycle is Rs1000
Step-by-step explanation:
Let x be the cost of bicycle
Total profit gained by the shopkeeper by selling at labelled price = 20%
Suppose he sell the bicycles at at 5% discount
Which means that the total profit he learn after discount will be:
20% -5% = 15%
The shopkeeper earns a profit of 15% if he sells at discount.
Profit gained by shopkeeper is:
15% of x = 15/100 · x
15% of x = 0.15x
Thus the profit gained will be 0.15x. As profit gained is equal to 150, we can say that
0.15x = 150
x = 1000
The cost of bicycle is Rs1000
Answer:
<em>Rachel will earn $85 in 10 hours.</em>
Step-by-step explanation:
Rachel earned $34 in 4 hours at her job today.
Suppose, she will earn
dollar in 10 hours tomorrow.
So, <u>according to ratio of 'dollar' and 'hours'</u>, the equation will be.....

After cross multiplying, we will get.....

Thus, Rachel will earn $85 in 10 hours.