Answer:
a little late
205 1/5 is your answer
Step-by-step explanation:
break down the 3-D figure
Find area of triangle A=1/2bh
=1/2(8 inch)(6 9/10inch)
=1/2(8 inch)(69/10 inch)
=138/5 square inch
then multiply two because you have 2 triangles
=138/5 (2)
= 276/5 square inch
= 55 1/5 sq.in
Find area of rectangle
A = lw
=6 1/4 in (8 in)
= 25/4 (8 in.)
= 50 sq. in.
then multiply by 3 because of the three rectangles
= 50 sq. inch (3)
= 150 sq. in.
Add all together
55 1/5 sq. inch + 150 sq. inch = 205 1/5 sq. inch
Answer:
12 only.
Step-by-step explanation:
When the question is asking for f(0), it is asking for the value of <em>y </em>when x = 0.
We see that there is only 1 intersection at x = 0, and the y value would equal 12.
Therefore, our answer is 12 only.
Answer:
Option c
Step-by-step explanation:
if x = 12
12^2 = 144
144/18 = 8
28 + 8 = 36
To solve this problem, we must remember that division is the inverse operation of multiplication. This means to undo any multiplication problem, we can divide.
Because 8 * -2 = -16, if we divide the product by the two factors, we can reveal this unique relationship, as shown below:
-16/-2 = 8
-16/8 = -2
Therefore, the two division problems above are your answer.
Hope this helps!
Answer:
X = 0, π/2 in the interval [0, 2pi).
Step-by-step explanation:
Use the auxiliary angle method:
R sin(x + a) = Rsin x cos a + Rcos x sin a = 1
sin x + cos x = 1
Comparing coefficients:
R cos a = 1 and R sin a = 1, so
tan a = R sin a / R cos a = 1
So a = π/4 radians.
Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2
Therefore R = √2.
So √2 sin (x +π/4 = 1
sin x + π/4 = 1/√2
x + π/4 = π/4
x = 0 radians
Also
x = 0 + π/2 = π/2.