Sin = opposite/hypotenuse, so one side is 7 and the other is 8.
sqrt(64-49)=sqrt(15) which is the third side, and tangeant = opposite/adjacent, which is 7/sqrt(15). Cotangeant is 1/tangeant, so it would be sqrt(15)/7
We know that
<span>on an analog clock
60 minutes is equal to a circumference of 360</span>°
so
360/60-----> 6°
that means
1 minute is equal to --------> 6°
16 minutes----------> X
x=16*6-----> 96°
the length of a circumference=2*pi*r
for r=8 in
the length of a circumference=2*pi*8-----> 50.24 in
if 360° (full circle) has a length of----------------> 50.24 in
96°---------------------------> x
x=96*50.24/360------> x=13.40 in
the answer is
13.40 in
180/4 = 45
45 x 3 = 135
answer: <span>The measure of the larger angle is 135 (last choice)</span>
The age of Blain is 23 years old
<h3><u>Solution:</u></h3>
Let the age of Blain be "a" and age of Jillian be "b"
Given that Blain is two years older than three times Jillians age
So we can frame a equation as:
age of blain = 2 + 3(age of Jillian)
a = 2 + 3b ----- eqn 1
Also given that Jillian is also 16 years younger than Blain
Age of Jillain = Age of Blain - 16
b = a - 16 ---- eqn 2
Substitute eqn 2 in eqn 1
a = 2 + 3(a - 16)
a = 2 + 3a - 48
a - 3a = -46
-2a = -46
a = 23
Thus the age of Blain is 23 years old
Answer:
40 students picked bananas
Step-by-step explanation:
3/4 picked apples
1 - 3/4 = 1/4 picked bananas
3/4x = 120
Multiply both sides of the equation by 4/3
4/3 * (3/4x) = 120/1 * (4/3)
x = 480/3
x = 160
Total of 160 students
/ \
120 = apples 160 - 120 = 40 = bananas
40 students picked bananas
Hope this helps :)