Answer:
m∠B = 95°
Scalene
Step-by-step explanation:
by definition, internal angles in a triangle must add up to 180°
in this case,
∠A + ∠B + ∠C = 180°
we are given ∠C = 55° and ∠A = 30°
30° + ∠B + 55° = 180°
∠B = 180 - 55 - 30 = 95° (Answer)
We can see that all 3 angles of the triangle are different. And hence we can conclude that all 3 sides of the triangle are different length (i.e it is not equilateral or isosceles). Hence it is a scalene triangle.
Answer:
Saved Money = 189.47
Step-by-step explanation:
find the sum percent of how much he spent:
30% + 40%+ 25% = 95%
Given That:
95% = 3600
So, he saved only 5%
5% = 3600/19 = 189 pounds
Hope this helps
Answer:
180.6 cubic inches. (Nearest tenth is the same as 1 decimal place)
Step-by-step explanation:
The volume of a cylinder formula is:
V
=
π
r
2
h
The diameter is
10
inches, well half of the diameter is
5
inches which is the radius. Radius is half of the diameter.
If you want the diameter back, just double it.
5
+
5
=
10
.
So we can now plug the numbers into the formula.
V
=
π
(
5
2
)
(
2.3
)
V
=
π
(
25
)
(
2.3
)
(5 Squared =25)
V
=
57.5
π
But if you didn't want it in terms of
π
, so you multiply:
57.5
×
3.14
=180.55
but rounding that to the nearest tenth is the same as rounding to
1 decimal place so you get
180.6 cubic inches.
It the wiper blade (and arm) made a full rotation, 2 circles would be formed.
One small circle with radius
b, and a larger circle with radius
a+b.
The areas of these 2 circles are respectively:

and

120° is 1/3 of a complete angle 360° which form a circle, so the areas formed by the arm of length b, and the arm + the wiper blade (a+b) are:

and

in squared respectively.
the actual wiped area is

(in squared)
Area of the window is 54*24= 1296 (in squared)
thus, the ratio of the wiped area to the whole area of the window is 351.7/1296=0.271
Converted to percentages, this is 27.1%
Answer: 27.1%
I suspect 4/2 should actually be 4/3, since 4/2 = 2, while 4/3 would make V the volume of a sphere with radius r. But I'll stick with what's given:





In Mathematica, you can check this result via
D[4/2*Pi*r^3, r]