Answer:
Step-by-step explanation:
(a) radius is the bottom leg of the right triangle formed by the slopped edge and the vertical line from the tip to the center of the base. So that's easy enough with the pythagorean theorem.
15^2 + b^2 = 34^2
b = sqrt(1156 - 225)
b = 30.512
(b) The surface area can be looked at as the surface area of the circular base + the surface area of the actual cone.
area of a circle is pi*r^2 and the surface area of the cone, excluding the base, is pi*r*s, where s is the slant height. If you want to know where that one comes from it kinda takes some calculus to understand but I can link a video to explain it.
pi*r^2 + pi*r*s
pi(r^2+rs) I factored out pi to make things a little easier.
pi(931+30.512*34)
1968.408pi Feel free to multiply out pi.
(c) Volume for a cone (or any kind of pyramid) is area of the base times the height all divided by 3.
so since we know the area of the base we can just plug in.
(pi*r^2*h)/3
(pi*931*15)/3
4655pi
Answer:
Step-by-step explanation:
X = -4 – -2 = -2
Y = 4 – 10 = -6
Equation of the line:
y = 3x + 16
When x=0, y = 16
When y=0, x = -5.3333333333333
Let's solve your system by substitution.
y
=
3
x
+
5
;
y
=
x
+
19
Step: Solve
y
=
3
x
+
5
for y:
y
=
3
x
+
5
Step: Substitute
3
x
+
5
for
y
in
y
=
x
+
19
:
y
=
x
+
19
3
x
+
5
=
x
+
19
3
x
+
5
+
−
x
=
x
+
19
+
−
x
(Add -x to both sides)
2
x
+
5
=
19
2
x
+
5
+
−
5
=
19
+
−
5
(Add -5 to both sides)
2
x
=
14
2
x
2
=
14
2
(Divide both sides by 2)
x
=
7
Step: Substitute
7
for
x
in
y
=
3
x
+
5
:
y
=
3
x
+
5
y
=
(
3
)
(
7
)
+
5
y
=
26
(Simplify both sides of the equation)
Answer:
x
=
7
and
y
=
26
Answer:
1/4 or 25%
Step-by-step explanation:
Let's see, we want to know probability of an event in which we roll two even numbers.
"We know that probability is defined as number of desired outcomes divided by all possible outcomes"
e - even number
o - odd number
our desired outcome: (e, e) total of 1
all possible outcomes: (e, e), (e, o), (o, e), (o,o) total of 4
that gives us 1/4
Hello! what I like to do is multiply by 10s and subtract the difference, so one thing you could do is 10x256-(3x256)! your final answer will be 1792, hope this helped! ;)
