Answer:
0.108
Step-by-step explanation:
0.66 × 0.33 × 0.5 = 0.108.
Formula: L × W × H × 1/6.
L = 4
W = 2
H = 3
4×2×3.
We then have you multiply that by 1/6.
4×1/6 = 0.66.
2×1/6 = 0.33
3×1/6 = 0.5
0.66 × 0.33 × 0.5 = 0.108.
Now, onto the correct answers.
7) (4×1/6cm) × (2×1/6cm) × (3×1/6cm)
7 is correct, because the answer is diving each number by 1/6, and multiplying them with each other.
1) 1/216 × 24
1 is correct, because the answer when the question is evaluated is around 0.108. 1/216 × 24 = 0.11111111111. It is very close to the answer. This, indeed is correct.
Answer:
72°
Step-by-step explanation:
From the information given:
A town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue.
We are also told that there is a Trapezoid EFGH with EH as the Pine avenue and EF as the Elm street.
However, side FG and EH are parallel.
∠G = 108°
From the property of parallel lines :
since FG || EH
Then ∠G = ∠H = 108° (i.e corresponding angle will also be equal)
The required angle between Elm Street and Pine Avenue would be interior angles + 180° given that alternate angles are also equal.
The required angle between Elm Street and Pine Avenue = 180° - 108°
The required angle between Elm Street and Pine Avenue = 72°
X sqrd-4x+y sqrd-10= -29
y sqrd-10y = -29-X sqrd + 4X
y(y-10) = -29-X sqrd +4X
y = - 29 -X sqrd +4X ÷( y- 10)
B. 75
First you find the area of the triangle:
(base x height)/2
(3 x 5)/2
15/2
7.5
Then you multiply by the length of the prism (10):
7.5 x 10 = 75
Answer:
<u>Final Answer: Statements 1, 2 and 4 are correct.</u>
Step-by-step explanation:
Finding value of y:
2y + 3 = 15 => 2y = 12 => y = 6;
Finding value of x:
6x + 5 = 77 => 6x = 72 => x = 12;
Statement Number 1:
y² > 2x ? => 6² > 2 * 12 ? => 36 > 24 ?
Yes, 36 is bigger than 24, therefore statement one is correct.
Statement 2:
x = 2y ? => 12 = 2 * 6? => 12 = 12?
Yes, 12 is equal to 12. Statement 2 is correct.
Statement 3:
x + 2 = y + 10 ? => 12 + 2 = 6 + 10? => 14 = 16?
No, 14 is not equal to 16. Statement 3 is incorrect.
Statement 4:
y + 4 > x - 4 ? => 6 + 4 > 12 - 4 ? => 10 > 8 ?
Yes, 10 is bigger than 8. Statement 4 is correct.
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<u>Final Answer: Statements 1, 2 and 4 are correct.</u>
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