Answer:
The measure of arc SQ is 95° ⇒ (1)
Step-by-step explanation:
- The measure of any circle is 360°
- The measure of the subtended arc to an inscribed angle is twice the measure of this angle
In the given circle
∵ S lies on the circumference of the circle
∴ ∠QSR is an inscribed angle
∵ ∠QSR is subtended by arc QR
→ By using the 2nd rule above
∴ m arc QR = 2 × m∠QSR
∵ m∠QSR = 95°
∴ m arc QR = 2 × 95
∴ m arc QR = 190°
→ By using the 1st rule above
∵ m of the circle = m arc QR + m arc SQ + m arc SR
∵ m arc SR = 75° and m arc QR = 190°
→ Substitute them in the equation above
∴ 360 = 190 + m arc SQ + 75
→ Add the like term in the right side
∴ 360 = 265 + m arc QS
→ Subtract 265 from both sides
∵ 360 - 265 = 265 - 265 + m arc SQ
∴ 95° = m arc SQ
∴ The measure of arc SQ is 95°
The formula to calculate the lateral area of a cone is given by
where
LA=10.5pi in2
r=2.1 in
l=? slant height
substitute given values
<h2>The answer is 5 inches</h2>
Answer:
30 feet
Step-by-step explanation:
Let x be the length of the ladder. Then, x cos(60) = 15
If we divide both sides by cos(60), then x = 30 feet.
Answer:
10.5
Step-by-step explanation:
Answer:
Improve your growth attitude, be more proactive, learn to understand yourself, be persistent despite hurdles, learn to accept your limits, learn how to make successful decisions, practice thankfulness, and stay open-minded to new opportunities are some of the ways that SMART goals can assist you.
Step-by-step explanation:
I've done this before :)
