Answer:
X=6
Step-by-step explanation:
We need to remember the theorem that Tangent always makes a right angle at the point of contact with the circle.
Given details-
PQ=9= circle radius
QR=12
As given in the question
PQ is the radius
PQ=PY (since both are the radius to the circle)
⇒If the line QR = tangent than ∠ PQR must be 90°
Hence Δ PQR is a right-angled triangle with hypotenuse PR
PQ²+QR²=PR² (Pythagoras theorem)
∴Substituting the value of PQ, QR
⇒We get (9)² +(12)² = PR²
PR²= 225
⇒PR=15
As clear in figure PR= PY+YR
∴15=9+x
⇒ YR(x)= 6cm
Answer:
4
Step-by-step explanation:
For m = 12
m - 8 = 12 - 8 = 4
9514 1404 393
Answer:
- 5 containers
- 1/3 pound left over
Step-by-step explanation:
The amount Victoria needs is ...
(1/3 lb/burger) × 14 burgers = (1/3)(14) lb = 4 2/3 lb
The next higher multiple of 1 lb is 5 lb.
Victoria needs to buy 5 containers of tofu. There will be 1/3 lb left over.
We have the following equation:
V = kr ^ (2) h
For cylinder A we have:
251.2 = k * ((4) ^ (2)) * (5)
Let's clear k:
k = 251.2 / (((4) ^ (2)) * (5))
k = 3.14
For cylinder B we have:
V = 3.14 * ((3) ^ (2)) * (9)
V = 254.34 in ^ 3
Answer:
the volume of cylinder B is:
V = 254.34 in ^ 3
Answer:
x= -11
Step-by-step explanation:
-2x-6+5x=-39
3x-6=-39
3x=-39+6
3x=-33
x= -11
