Answer:
8835.73ft^3
Step-by-step explanation:
First:
Find area of the base circle.
Diameter is 15, so radius is 7.5
Area of the base circle is 56.25pi (use formula: A=pi(r)^2 ) (also ill convert pi into decimals only later)
next find the volume of the cylinder
height is 40 so volume = 56.25pi*40 = 2250pi
next find the volume of the dome at the top.
you know the radius is 7.5
Use volume of sphere formula below :
4
/3πr^3
=1767.15
alright now add the two bolded values
1767.15+2250pi
= 8835.73
hope this helps
Answer:
Step-by-step explanation:
Given
Solving (a): NK
MK is a diagonal and NK is half of the diagonal. So:
Solving (b): JL
JL is a diagonal, and it is twice of NL.
Solving (c): KL
To solve for KL, we consider triangle KNL where:
and
Solving (d - h):
To do this, we consider triangle JKN
-- diagonals bisect one another at right angle
Alternate interior angles are equal. So:
Similarly:
So:
Yes, we apply the distributive property to simplify this expression.
3*5 = 15
6*3 = 18
15 + 18 is the final answer.
ΔHGE and ΔFGE are congruent by the Angle-Side-Angle Congruence Theorem (ASA).
<em><u>Recall:</u></em>
- A segment that divides an angle into equal parts is known as an angle bisector.
- Two triangles are congruent by the ASA Congruence Theorem if they share a common side and have two pairs of congruent angles.
In the diagram given, Angle bisector, GE, divides ∠HEF into congruent angles, ∠HEG ≅ ∠GEF.
Also divides ∠FGH into congruent angles, ∠HGE ≅ ∠FGE.
Both triangles also share a common side, GE
<em>This implies that: ΔHGE and ΔFGE have:</em>
two pairs of congruent angles - ∠HEG ≅ ∠GEF and ∠HGE ≅ ∠FGE
a shared side - GE
Therefore, ΔHGE and ΔFGE are congruent by the Angle-Side-Angle Congruence Theorem (ASA).
Learn more about ASA Congruence Theorem on:
brainly.com/question/82493
Answer:
f(7) = 6
Step-by-step explanation:
f(7) is the y coordinate of the point on the given graph of y = f(x), whose x coordinate is 7.
From the graph of y = f(x), we see that f(7) = 6.
