Answer:
366.6 mm²
Step-by-step explanation:
Step 1: find XY using the Law of sines.
Thus,
m < W = 180 - (70+43) (sum of angles in a triangle)
W = 180 - 113 = 67°
WY = 24 mm
X = 43°
XY = ?
Cross multiply:
Divide both sides by 0.68 to solve for XY
XY ≈ 32.5 mm
Step 2: find the area using the formula, ½*XY*WY*sin(Y).
Area = ½*32.5*24*sin(70)
Area = ½*32.5*24*0.94
= 32.5*12*0.94
Area = 366.6 mm² (nearest tenth)
Use the Pythagorean theorem:
<span>C = √[a^2 + b^2] </span>
<span>C = √[(20^2 + 15^2] </span>
<span>C =√[400 + 225] </span>
<span>C = √(625) </span>
<span>C = 25 inches </span>
Answer: 3.25 inches <span>✔️</span>
You have posted 2 separate questions here. Please, next time, separate them with a blank line:
<span>A circle has an area of 81 3.14 units . what is the diameter in terms of 3.14?
I'd prefer you write this as
"</span><span>A circle has an area of 81 pi units . what is the diameter in terms of pi?
Area of a circle = A = pi*r^2. Note that r= diameter / 2. Here, the area is 81 pi square units, or 9^2 * pi square units, which means that the radius is 9 units. The diameter is then 2(9 units) = 18 units.
Your second question, separated from the first, is:
"</span><span>a circle has an area of 81 Pi square units what is the diameter of the circle?"
</span><span>
Use the following formula or formulas: d = 2*r; A = pi*r^2; A = pi*(d/2)^2. Find r first, and then find d.
</span>
Answer:
AngleWUT =38°, option 2
Step-by-step explanation:
We have three rays passing through U. A ray is set extend in one direction with one fixed point.
We have UW ray bisecting VUT.As the ray bisects the angle between VUW and WUT would be same .
Given angles are (4x+6)° and (6x-10)°.
As these angles are equal
AngleWUT = (6x – 10)°
and x is 8 so on substituting AngleWUT =38°.