Answer:
0.25.
Step-by-step explanation:
sin 30 = 0.5
So it is 2 * (0.5)^3
= 2 * 0.125
= 0.25.
Answer:
The measure of angle BAC is 20°
Step-by-step explanation:
step 1
Find the measure of arc BC
we have that
m∠BOC=arc BC ------> by central angle
we have
m∠BOC=40°
therefore
arc BC=40°
step 2
Find the measure of angle BAC
we know that
The inscribed angle is half that of the arc it comprises
so
m∠BAC=(1/2)[arc BC]
we have
arc BC=40°
substitute
m∠BAC=(1/2)[40°]
=20°
Answer:
a. 1.29
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
swap y and x in the function. that is

we get x=4y+5
<em>S</em><em>o</em><em>l</em><em>v</em><em>e </em><em>for </em><em>y</em>
(x-5)/4=y

Answer:
18.7
Step-by-step explanation:
The Law of Cosines is
, where c is the unknown side length of a triangle, a and b are the remaining two side lengths, and C is the angle opposite to side c. To answer this question just plug in the known values:

Simplify:



m≈18.665...
When rounded to the nearest tenth, m=18.7