3x-15+2x-2
=5x-17
use the distribution property
Answer:
the original volume is lesser than the new volume by 242.47 in³
Step-by-step explanation:
Volume of a cone is;
V = ⅓πr²h
Where;
r is radius
h is height
For the original chamber;
r = 5.7/2 = 2.85 inches
h = 12 inches
Volume of this original chamber is;
V_orig = ⅓ × π × 2.85² × 12
V_orig = 102.02 in³
In the new design, the chamber is scaled by a factor of 1.5.
Thus;
r_new = 2.85 × 1.5 = 4.275 inches
h_new = 12 × 1.5 = 18 inches
V_new = ⅓ × π × 4.275² × 18
V_new = 344.49 inch³
V_new - V_orig = 344.49 - 102.02 =
Thus, the original volume is lesser than the new volume by 242.47 in³
Answer:
16
Step-by-step explanation:
1 gallon is equal to 8 pints.
2 gallons is equal to 16 pints.
A.) Number of 3/4 cup servings in 5 1/2 cups = 5 1/2 / 3/4 = 11/2 / 3/4 = 11/2 x 4/3 = 44/6 = 7 1/3
Therefore, Zoey did not make enough 3/4 cup serving to go round everybody.
b.) For, every one to have a serving, we have 5 1/2 cups which we want to go round ten people, so each person should get 5 1/2 / 10 = 11/2 / 10 = 11/2 x 1/10 = 11/20.
So the serving should be 11/20 cup for every one to get serving.
c.) If she uses the 3/4 cup serving, then she will need 3/4 x 10 = 30/4 = 7 1/2 cups altogether.
Therefore, she will need to make extra 7 1/2 - 5 1/2 = 2 cups of trail mix.
Answer:
QR=8
QU=76
Measure of arc ST=114°
Measure of arc QR=114°
Measure of arc XT=57°
Step-by-step explanation:
Given
YU=YV
ST=16
mQS=34
mRT=98
Using Pythagoras theorem,
QR=8
QU=76
QR=ST
So they both span the same arc.
Let the arc=x
360 - QS - RT = QR + ST
Recall QR=ST
360 - 34 - 98 = x + x
228 = 2x
X=228/2
X=114°
Therefore, measure of arc ST and arc QR=114° each
Measure of the span of arc XT = (1/2) of (arc ST)
= (1/2)(114°)
= 57°
