Answer:
1. y = -11/4; (-2, -11/4)
2. y = -1; (0, -1)
3. y = -1/8; (1, -1/8)
4. y = 0; (8/7, 0)
5. y = 3/4; (2, 3/4)
Step-by-step explanation:
Answer:
628.32 in.²
Step-by-step explanation:
Height: 15 in.
Diameter: 10 in.
Radius: 5 in.
A = 2πrh + 2πr²
2 · π · 5 · 15 + 2 · π · 5²
≈ 628.32
Answer:
The answer would be the last one
1/8+1/3. The denominator is changed to 24. 1/8 will turn to 3/24 and 1/3 will turn to 8/24. 3/24+8/24= 11/24.
Answer:
- A -- base 3, height 4
- B -- base 4, height 4
- C -- base 3, height 3
- D -- base 3, height 5
Step-by-step explanation:
A sort of straightforward way to approach this is to define base and height variables for each of the figures: ba, ha, bb, hb, bc, hc, bd, hd. Then the statements can be used to make equations in these variables.
0. hc = bc . . . . figure C is a square
1. ba = bd
2. ba = bb -1
3. hc = ba
4. hb = ha = bb
5. hc·bc = 9
6. (1/2)ha·ba +(1/2)hb·bb +hc·bc+hd·bd = 38
__
Using equations 0 and 5, we find ...
hc² = 9 ⇒ hc = 3
From equation 3, ...
ba = 3
From equation 2, ...
3 = bb -1 ⇒ bb = 4
From equation 1, ...
bd = 3
From equation 4, ...
ha = hb = 4
Filling in the values we know in equation 6, we get ...
(1/2)(4)(3) +(1/2)(4)(4) +9 +hd(3) = 38
23 +3hd = 38
hd = 15/3 = 5
The dimensions are:
- A -- base 3, height 4
- B -- base 4, height 4
- C -- base 3, height 3
- D -- base 3, height 5