Answer:
283.3%
Step-by-step explanation:
6.8 divided by 2.4 = 2.83333333333
2.8333 x 100 = 283.33
= 283.3%
The veretx is normally the minimum value
hack:
for f(x)=ax²+bx+c
the x value of the vertex is -b/2a
so
f(x)=1x²-16x+71
x value is -(-16)/(2*1)=16/2=8
find f(8) to find y value of vertex
f(8)=8²-16(8)+71
f(8)=64-128+71
f(8)=7
the vertex is (8,7)
the minimum value is 7
A )
3 j + 5 p = 7.60
j + 2 p = 2.90
B )
j = 2.90 - 2 p
3 ( 2.90 - 2 p ) + 5 p = 7.60
8.70 - 6 p + 5 p = 7.60
p = $1.10
j = 2.90 - 2.20
j<span> = $0.70</span>
C )
The bill for 1 glass of orange juice and 1 pancake special would be:
0.70 + 1.10 = $1.80
Answer:
SA = 1244.64 square centimeters
Step-by-step explanation:
From the attached figure
The formula of the surface area of the prism is SA = 2B + PH, where
- B is the area of its base
- P is the perimeter of its base
- H is the distance between its bases
The base of the prism is a regular hexagon with side 8 cm
If you join each vertex of the hexagon with its center you will form 6 congruent triangles with base 8 cm and height 6.93 cm
The area of the hexagon = 6 × area of a triangle
∵ The base of the triangle = 8 cm
∵ Its height = 6.93 cm
- The formula of the area of a triangle is A =
× base × height
∴ Area of the triangle =
× 8 × 6.93 = 27.72 cm²
- Lets find the area of the hexagon
∴ The area of the hexagon = 6 × 27 .72 = 166.32 cm²
∴ B = 166.32 cm²
The formula of the perimeter of the regular hexagon is P = 6 × s, where s is the length of its side
∵ The side of the hexagon is 8 cm
∴ P = 6 × 8
∴ P = 48 cm
∵ The distance between the two bases is 19 cm
∴ H = 19 cm
Substitute the values of B, P and H in the formula of the surface area above
∵ SA = 2(166.32) + (48)(19)
∴ SA = 332.64 + 912
∴ SA = 1244.64 square centimeters
Answer:
75
Step-by-step explanation:
That means she type 450/6 minutes. Take 450 and divide it by 6.
450/6 = 75