We know that
The volume of a circular truncated cone=(1/3)*pi*[r1²+r1*r2+r2²]*h
where
r1=7/2-----> 3.5 in
r2=10/2----> 5 in
h=12 in
volume of a circular truncated cone=(1/3)*pi*[3.5²+3.5*5+5²]*12
volume=688 in³
the answer is
688 in³
Answer:
ΔVZX and ΔWXZ are not congruent by SAS by the given information.
No, there is not enough information given.
The additional information for triangle to be congruent by SAS is given below.
Step-by-step explanation:
GIVEN:
1. VX = WZ = 40 cm and
2.m∠ZVX = m∠XWZ = 22°
3. VZ = WX ......{this additional information is required for triangles is to be congruent by SAS test}
Proof:
In Δ VZX and Δ WXZ
VZ ≅ WX …………..{additional information}
∠ ZVX ≅ ∠ XWZ ……….{measure of each angle is 22° given}
VX ≅ WZ ………….{length of each side is 40 cm given}
Δ ABC ≅ Δ PQR ….{By Side-Angle-Side test}
For SAS test, two sides of the corresponding triangles should be congruent and the angle between the two side. Then the triangles are said to be congruent by side angle side test.
Answer: 
Step-by-step explanation:
Based on the description given in the exercise, you can draw the horizontal lines "e" and "f" cut by the vertical lines "a" and "b".
By definition, when a horizontal line and a vertical line intersect each other, the angle formed by this intersection measures 90 degrees.
A "Right angle" is defined as an angle that measures 90 degrees.
Therefore, if a vertical line intersects a horizontal line, you can say that they are perpendicular.
You can observe in the image attached that the vertical lines "a" and "b" cut the horizontal lines "e" and "f". Therefore, since
and
, all the angles formed by this intersections measure 90 degrees.
Therefore, you can conclude that:

F(x) = 1.8x - 10.....g(x) = -4
f(x) = g(x)
1.8x - 10 = -4
1.8x = -4 + 10
1.8x = 6
x = 6 / 1.8
x = 3.33 or 3 1/3
Answer:
x = -13
Step-by-step explanation:
Let the number be x. ATQ,

The above equation shows Three-fourths of the difference of a number and 7 is negative fifteen. We need to find the number.
cross multiplying both sides,

So, the number is -13.