The measure of Arc Q P is 96°. We also know that ∠QTP is central angle, then the measure of arc QP is 96°.
Step-by-step explanation:
<u>Step 1</u>
If QS is a circle diameter,
then m∠QTS=180°.
Let x be the measure of angle RTQ: ∠RTQ =x.
so, let ∠RTQ = x
<u />
<u>Step 2</u>
According to the question,
∠RTQ = ∠RTS - 12°
⇒ ∠RTS = x + 12°
∴ ∠QTS = ∠RTQ + ∠RTS
= x + x + 12° = 2x + 12° = 180°
⇒ 2x = 168°
⇒ x = 84°
⇒ ∠RTQ = 84°
<u></u>
<u>Step 3</u>
Now,
∵∠QTP and ∠RTS are vertical angles
∴ ∠QTP = 84° + 12° = 96°
As ∠QTP is the central angle, hence the measure of arc QP is 96°
<u></u>
<u>Step 4</u>
The Measure of arc QP = 96°
Answer:
1. 9/25 units^2
2. s = 1/4 unit
3. = 8/27 units^3
4. s = 3/4 unit
Step-by-step explanation:
1. The area of a square is A=s^2
A = (3/5)^2
= (3/5) *(3/5)
= 9/25 units^2
2. The area of a square is A=s^2
1/16 = s^2
Take the square root of each side
sqrt(1/16) = sqrt(s^2)
1/4 = s
s = 1/4 unit
3. The volume of a cube is V = s^3
V = (2/3)^3
= (2/3) (2/3) (2/3)
= 8/27 units^3
4.The volume of a cube is V = s^3
27/64 = s^3
Take the cube root of each side
(27/64)^(1/3) = (s^3)^(1/3)
3/4 = s
s = 3/4 unit
Answer:
A) 1178
Step-by-step explanation:
height is 15
radius is 5
diameter is 10
π * 5^2 * 15= 1178
Answer:
scale factor is 169
Step-by-step explanation:
answer is the square root of a tringle times 10 divided by 0 and that equals to 0 then you subtract 10 and that equals to negative 10 then you add 40 then equals to 30 so your answer is 30
Step-by-step explanation: