Answer:
A
Step-by-step explanation:
The volume of a pyramid is one third the height times the area of the base.
V = ⅓ h A
The base is a square, so the area is the width times length.
V = ⅓ h wl
Problem is, we don't know the height, only the slant length. But we can use this to find the height.
If we cut a cross section down the middle of the pyramid, we get an isosceles triangle. The base of the triangle is 24, and the legs are 37.
If we cut this triangle in half, we get two right triangles. Each right triangle has a base of 12 and a hypotenuse of 37.
Now we can use Pythagorean theorem to find the height of the triangle, which is also the height of the pyramid.
c² = a² + b²
37² = 12² + h²
h = 35
Now we can find the volume. h = 35, w = 24, and l = 24:
V = ⅓ h wl
V = ⅓ (35) (24) (24)
V = 6720
So the volume is 6720 ft³, or answer A.
Slope intercept form is y=mx+b
y= m or 2 because that is your slope but now all you need to is find your begin or find the point (3,7) on the graph.
Answer:
x = 5
Step-by-step explanation:
14x + 22x = 180
36x = 180
x = 5
Answer:
7. 5 
pizza
8. B
9. 11 
inches
10. -12
11. 
12. 4
Step-by-step explanation:
7. 3 
+ 2 
make them mixed fractions: 
+ 
get a common denominator by multiplying by 4: 
+
add the numerators: 
simplify the fraction by dividing 45 by 8: 5
8. 3 x 6 = 18
5 x 6 = 30
7 x 6 = 42
9 x 6 = 54
therefore, y = 6x
9. 5:7 is similar to 8:L
divide 8 by 5: 1 
multiply 7 by 1 : 11
L = 11 inches
10. 5 - 2x = 29
subtract 5 from each side: -2x = 24
divide each side by -2: x = -12
11. fruit = 15%
15% = 15/100
simplify by dividing by 5:
12. the y-intercept is where the line crosses the y-axis (the vertical one). the line crosses the y-axis at 4.
When you divide something by 10, yo move the decimal place one place to the left so exg
20.0/10=2.0
so divide by 1000 means move the decimal place 3 places to the left so if you had 20,000.0/1000=20.0 so
6.82/1000=0.00682
