Answer:

Explanation:
Volume = 1/3(area of base) times height. 1/3(PI X R(squared)) X height. 1/3 x 3.14 x 25 x 6 = 157
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Answer:
see below
Step-by-step explanation:
dilation with a scale factor of 1/3 means the distances to the center shrink by 1/3
so for center (4,-2)
distance of (7,4) is 3 n 6 to center
1/3 of distance = 1 n 2
so (7,4) become (4+1, -2+2) = (5, 0) after the dilation
similarly u can find the other 2 pts
distance of (-2,4) is -6 n 6 to center
1/3 of distance = -2 n 2
so (-2,4) become (4-2, -2+2) = (2, 0) after the dilation
distance of (1, 10) is -3 n 12 to center
1/3 of distance = -1 n 4
so (1,10) become (4-1, -2+4) = (3, 2) after the dilation
plot the new triangle using the 3 pts
Answer:
y=2, the equation of a line which is perpendicular to the line 3x+5=0
A(-5/3,2) the foot of the perpendicular from B to the line
Step-by-step explanation:
d1 : 3x+5=0, so 3x=-5, x=-5/3
y=2, the equation of a line which is perpendicular to the line 3x+5=0
A(-5/3,2) the foot of the perpendicular from B to the line
Answer:
D
Step-by-step explanation:
0=3x-7
0=3x+7
7=3x/3
7/3=x
Answer:
A) mPQ = 71º
B) mSR = 161º
C) mQRT = 199ª
D) mPSR = 270º
E) mPS = 109º
Step-by-step explanation:
We know that mST is 19º and QR is also 19º because they're opposite angles. We also know that angle PUR is 90º.
If we subtract 19º from 90º we get 71º for mPQ.
We also know that TR is a 180º angle. Using this if we take 19º from 180º we're left with 161º for mSR.
Using the 180º from angle TR, as well as the 19º from mQR we know that mQRT has to be 199º.
A circle is 360º and a right angle is 90º. That means that mPSR is 270º.
Knowing that TR is 180º and that PR is 90º, PTº must be supplementary making it also 90º. Adding the 19º from ST to the 90º from TP we know that PS is 109º