Answer:
f(7) = 22 or x =2
Step-by-step explanation:
- f(x) = 3x + 1
- f(7) = 3(7) + 1
- f(7) = 21 + 1
- f(7) = 22
<u>Or if the equation meant it like this:</u>
- f(x) = 3x + 1
- 7 = 3x + 1
- 6 = 3x
- 2 = x
1. Area of triangle
1/2(10)(12)=60
There are two triangles, so multiply by 2
=120
2. Find area of the rectangles
This is an isosceles triangle, so the two rectangles are congruent
(2)(13)(3)=78
3. Find area of bottom rectangle
10(3)= 30
4. Add everything up
120+ 78 + 30= 228
Therefore the surface area of this prism is 228
I hope i helped :)
very simple, we use the formula sin(a+b)=sinacosb +
sinbcosa and sin(20)=2sinacosa
5pi = 2pi/3+3pi/3,
First, we use sin(a+b)=sinacosb + sinbcosa
sin(5pi/3)=sin(2pi/3+3pi/3)=
sin(2pi/3+pi)=
sin(2pi/3)cos(pi) +sin(pi)cos(2pi/3)
but we know that sin(pi)=
0, and cos (pi) = -1, so sin(5pi/3)=
- sin(2pi/3)
now, use sin(2a)=2sinacosa,
sin(5pi/3)= - sin(2pi/3)= -2sin(pi/3)cos(pi/3)
sin<span>(5pi/3)=
-2sin(pi/3)cos(pi/3)</span>
<span>sin(pi/3)= 0.86,
cos(pi/3)=0.5, finally we have </span>sin<span>(5pi/3)= -0.86 x 0.5= -0.43</span>
Answer:
Step-by-step explanation:
GIVEN: kayden paddled a canoe to an island. the island is 
miles from the shore. his trip to the island took two hours while paddling against the current. he paddles 
mph with no current.
TO FIND: what was the speed of the current.
SOLUTION:
distance of island from the shore 
miles
total time taken by Kayden 
hours
speed of Kayden in still water 
Let the speed of current be 
Speed of Kayden against current 
As,
Hence speed of current is
Answer:
62 miles per hour speed if you drove 325 miles in 5 1/4 hours
Step-by-step explanation:
Using formula:
As per the statement:
if you drove 325 miles in 5 1/4 hours
⇒
miles
and
Time = 
hours
Then by above formula we have;
miles per hour
Therefore, 61.90 ≈ 62 miles per hour speed if you drove 325 miles in 5 1/4 hours
