The volume<span> of a triangular </span>prism<span> can be found by multiplying the base times the height. I would be glad to answer the question if you gave me some reference numbers to plug into the formula to get the volume for you.</span>
3 2/3 - 1/2
= 11/3 - 1/2
= 22/6 - 3/6
= 19/6
= 3.1666666667
We have that
<span>Circle 1: center (8, 5) and radius 6
</span><span>Circle 2: center (−2, 1) and radius 2
we know that
the equation of a circle is
(x-h)</span>²+(y-k)²=r²
for the circle 1---------> (x-8)²+(y-5)²=36
for the circle 2---------> (x+2)²+(y-1)²=4
using a graph tool
see the attached figure
Part A)<span>What transformations can be applied to Circle 1 to prove that the circles are similar?
we know that
r1/r2---------> 6/2------> 3
</span><span>
to prove that the circle 1 and circle 2 are similar, the radius of circle 1 </span>must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down
<span>
the answer part A) is
</span>
the radius of circle 1 must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down
Part B) <span>What scale factor does the dilation from Circle 1 to Circle 2 have?
the answer Part B) is
the scale factor is (3/1)</span>
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where
m = slope
c = intercept
The equation of the given line is
y = 47x - 3
Comparing with the slope intercept equation, m = 47
If two lines are parallel, it means that they have equal slope. This means that the slope of the line passing through (14, 4) is 47
We would determine the intercept, c by substituting m= 47, x = 14 and y = 4 into y = mx + c. It becomes
4 = 47× 14 + c
4 = 658 + c
c = 4 - 658 = - 654
The equation becomes
y = 47x - 654
Answer:
option A
Step-by-step explanation:
given,
10% A grades 80% B grades 10% C grades
This year, managers with scores less than 35 received C's and those with scores above 425 received A's.
The mean has to be middle of two corresponding cutoff value

μ = 230
Cutoff Off C grade corresponds with the area of 0.10 is table A.
corresponding z- score according to Table A
Z = -1.28
now, standard deviation



σ = 152.3
Correct answer is option A