Answer
24 quarts of green paint should be mixed with 4 cups of black paint.
That is (96 cups)
Step by step explanation
Jasper Green mix 4 quarts of green paint with 2/3 cups of black paint.
Let's convert 4 quarts into cups.
1 quart = 4 cups
4 quarts = 16 cups
Here mix 16 cups of green paint with 2/3 cups of black paint.
Let's use the proportion
Green paint Black paint
16 2/3
x 4
16/x =2/3 divided by 4
Cross multiplying, we get
16*4 = 2/3 x
64 = 2/3 x
x = 64/(2/3)
x = 64 * 3/2
x = 192/2
x = 96 cups
96 cups of green paint should be mixed with 4 cups of black paint.
We can covert 96 cups into quarts by dividing by 4
96/4 = 24 quarts
24 quarts of green paint should be mixed with 4 cups of black paint.
Thank you.
Answer:
The answer is either (3) or (4) because drawing a line of best fit and finding its gradient is going to give you a negative answer
£110 as 45mins times 4 radiators divided by 60 mins =3 hours
3 hours + 1 hour = 4 hours
4 hours times £20= £80
£80+£30=£110
Answer:
Area of trapezium = 4.4132 R²
Step-by-step explanation:
Given, MNPK is a trapezoid
MN = PK and ∠NMK = 65°
OT = R.
⇒ ∠PKM = 65° and also ∠MNP = ∠KPN = x (say).
Now, sum of interior angles in a quadrilateral of 4 sides = 360°.
⇒ x + x + 65° + 65° = 360°
⇒ x = 115°.
Here, NS is a tangent to the circle and ∠NSO = 90°
consider triangle NOS;
line joining O and N bisects the angle ∠MNP
⇒ ∠ONS = 
= 57.5°
Now, tan(57.5°) = 
⇒ 1.5697 = 
⇒ SN = 0.637 R
⇒ NP = 2×SN = 2× 0.637 R = 1.274 R
Now, draw a line parallel to ST from N to line MK
let the intersection point be Q.
⇒ NQ = 2R
Consider triangle NQM,
tan(∠NMQ) = 
⇒ tan65° =
⇒ QM = 
QM = 0.9326 R .
⇒ MT = MQ + QT
= 0.9326 R + 0.637 R (as QT = SN)
⇒ MT = 1.5696 R
⇒ MK = 2×MT = 2×1.5696 R = 3.1392 R
Now, area of trapezium is (sum of parallel sides/ 2)×(distance between them).
⇒ A = (
) × (ST)
= (
) × 2 R
= 4.4132 R²
⇒ Area of trapezium = 4.4132 R²
