Answer:
∠x = 80°
∠y = 140°
∠z = 20°
Step-by-step explanation:
- the sum of the interior angles of a triangle is 180°
- the measure of third angle = the sum of the interior angles - the sum of two angles
x = 180 - (60 + 40) = 80
∠x = 80°
- the measure of 40 and ∠y are on the straight line and they are both equal 180°
then to find the value of y = 180 - 40
y = 180 - 40 = 140
∠y = 140°
z = 180 - (140 + 20) = 20
∠z = 20°
6.2*10^-5 is the notation
Answer:
Step-by-step explanation:
In the question it is given that the volume of a sphere is 4,500π cubic yards. And we have to find the radius.
We know that,
- 4/3πr³ = Volume of a sphere
Now, Substituting the values in the fomulae :
⇒ 4/3πr³ = 4500π
Cancelling π from both sides :
⇒ 4/3r³ = 4500
⇒ 4r³ = 4500 × 3
⇒ 4r³ = 13500
⇒ r³ = 13500/4
⇒ r³ = 3375
Taking cube root on both sides we get :
⇒ r = 15
Therefore,
- <u>The radius of the sphere is 15 yards</u>
Answer:
(-4,0) and (4,0)
Step-by-step explanation:
The x-intercepts occur for values of x where f(x) = 0.
f(x) = 0 when the nominator (
) = 0.
is a difference of squares,
so you can factor it as (x + 4)(x – 4)
When x = –4 or x = 4, the nominator is 0, and f(x) = 0
