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: True
Step-by-step explanation: The left side 3.6 is greater than the right side 1, which means that the given statement is always true.
I hope this helps you out!
Answer:
An optical prism is a transparent optical element with flat, polished surfaces that refract light. ... A dispersive prism can be used to break white light up into its constituent spectral colors (the colors of the rainbow).
Step-by-step explanation:
The surface area would be 26.5487 m².
The surface area of a cylinder is equal to the area of the circles at both ends, added to the area of the rectangular portion in the middle. The rectangle in the middle has a width equal to the circumference of the circle and a length equal to the height of the cylinder.
The circumference of a circle is given by C = πd, and the area of the circles is given by A=πr².
Since the height is in meters, we will convert it to cm. 3.5 m = 350 cm.
The diameter is 190 cm, so the radius is 190/2 = 95 cm.
This gives us:
SA = 3.14(190)(350)+2(3.14)(95)²
= 208810 + 56677 = 265487 cm² = 26.5487 m²
Good morning,
Answer:
<h2>5+(-4) > -4 + (-7)</h2>
Step-by-step explanation:
5+(-4) = 5 - 4 = 1
-4 + (-7) = -(4+7) = -11
since 1 > -11 then 5+(-4) > -4 + (-7)
:)
