Answer:
9d+3
Step-by-step explanation:
Distribute the Negative Sign:
=6d+5+−1(2−3d)
=6d+5+(−1)(2)+−1(−3d)
=6d+5+−2+3d
Combine Like Terms:
=6d+5+−2+3d
=(6d+3d)+(5+−2)
=9d+3
<span>The answer is simple: between 5 and 6. The way you find this is you take the nearest perfect square less than 35 and greater than 35. The nearest perfect square less than 35 is 25 and the nearest perfect square greater than 35 is 36. The square roots of both are respectively 5 and 6. Therefore, the square root of 35 must lie between 5 and 6.
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Answer:
A. The volume of the prism = 204.7 cm³
Step-by-step explanation:
The difficult part is finding the hight x in the triangle with sides 6 6 and 7.
The half of the base of this triangle = 3,5
So we have the right sided triangle with a hypothenusa of 6, one right side of 3,5 and one right side which is x (and is unknown).
Use Pythagoras to find the value of x.
x² + (3,5)² = 6²
x² = 6² - (3,5)²
x² = 36 - 12,25
x² = 23.75
x = +- SQRT(23.75)
{Only the positive part has a meaning.}
x = 4.873
So now it is easy.
The area of the triangle = 3.5 * x
with x = 4.873
The area of the triangle = 3.5 * 4.873
The area of the triangle = 17.06 cm²
The volume of the prism = 12 * the area of the triangle
The volume of the prism = 12 * 17.06
The volume of the prism = 204.67
rounded on 1 decimal.
The volume of the prism = 204.7 cm³
Twice x = 2x so the entire statement is
2x = 5
Answer:
7
Step-by-step explanation:
okay