Answer:
Here is your ans.
Step-by-step explanation:
I have few time Because I am too late to school.. So I had solved only up to q.no 5. . Hope you understand it. If you Like then Plz give a five star rating to my ans. And One thing sorry for rough handwriting and mistake
Okay, so, Colby made 9 batches, right? And each batch contained 1/4 quart of grape juice. To find how much grape juice he used for the 9 batches, you have to multiply 1/4 and 9.
1/4*9 = 9/4.
Simplified: 9/4 turns into 2 1/4.
Colby used 2 1/4 quarts of grape juice.
Option C:
x = 6 units
Solution:
QR = 7 units, RS = 5 units, UT = 4 units and ST = x
<em>If two secants intersect outside a circle, the product of the secant segment and its external segment s equal to the product of the other secant segment and its external segment.</em>
⇒ SR × SQ = ST × SU
⇒ 5 × (5 + 7) = x × (x + 4)
⇒ 5 × 12 = x² + 4x
⇒ 60 = x² + 4x
Subtract 60 from both sides.
⇒ 0 = x² + 4x - 60
Switch the sides.
⇒ x² + 4x - 60 = 0
Factor this expression, we get
(x - 6)(x + 10) = 0
x - 6 = 0, x + 10 = 0
x = 6, x = -10
Length cannot be in negative measures.
x = 6 units
Option C is the correct answer.
Answer:
89.0°
Step-by-step explanation:
The segment from the centre of the circle to the chord is a perpendicular bisector, hence
third side of right triangle = 12.7 ÷ 2 = 6.35
The angle subtended at the centre by arc CD is twice the angle subtended by the right triangle at the centre
The triangle from the centre to C is congruent to the triangle from the centre to D
Calculate the angle (Θ ) in the right triangle using the sine ratio
sinΘ = 
= 
Θ = 
( ) ≈ 44.5°
Hence
measure of CD = 2 × Θ = 2 × 44.5 = 89.0°
72 pints equals 9 gallons
~8 pints=1 gallon~
-Hope this helped :)
