The pyramid given above has four faces. Each of which are in triangular shape. The area of the triangle is calculated through the equation,
A = bh / 2
where A is area, b is base and h is the height.
Substituting the known values,
A = (4 inch)(9 inch) / 2 = 18 in²
Multiplying this area by 4 will give us an answer of 72 in².
Then, we also calculate for the area of the square base.
A = s²
where s is the measure of each side of the square.
A = (4 in)² = 16 in²
Finally, we add up the calculated areas.
surface area = 72 in² + 16 in²
<em>surface area = 88 in²</em>
Hence, the surface area of the figure is equal to 88 in².
The answer to this is 65.
Remember that the angles opposite of each other equal to 180. So a+c=180 and b+d=180.
First, we solve for x. Since we know that b and d equal to 180, we subtract 148 from 180.
180-148=32. x=32.
Then we plug that in the expression for angle a.
2x+1 becomes 2(32)+1
2*32=64
64+1=65.
a=65
Answer:
57°
Step-by-step explanation:
∠LOM and ∠MON are complementary angles, so they add up to 90.
This means that:
3x-15 + 5x-23 = 90 =>
8x - 38 = 90 =>
x = 128/8 = 16
So m∠MON = 5*16 - 23 = 57°
Answer:
y=3/2x+-1
Step-by-step explanation:
the formula is y=mx+b
y is the total
m is the slope
x is what you're multiplying the slope by
b is the y intercept