(x-5)(x+3)=0
x^2+3x-5x-15=0
(x^2+3x) (-5x-15)
x(x+3) -5(x+3)
x-5=0 x+3=0
x=5 OR -3
Surface area = base area + side area
= pi * 7^2 + pi * 7 * 27 = 238pi = 747.7 cm^2
The volume of the original prism is calculated by multiplying the area of the base by the height,
volume = (8 cm²)(6 cm) = 48 cm³
By the word dilated we mean to say that the dimensions of the new prism is 5/4 times that of the original solid. If we let x be the volume of the new solid,
x / 48 cm³ = (5/4)³
The value of x from the equation above is equal to 93.75 cm³.
Answer:
x=24
Step-by-step explanation:
First: Multiply -6 to both sides
Next: You get 3x=72
Then: Divide 72 by 3
Last:....
ANSWER: x=24
Answer:
<u>a = 13</u>
Step-by-step explanation:
We should know that: The sum of the interior angles of the triangle = 180°
Given the measure of the angles: (6a - 2) , (5a - 13) and (5a - 13)
So,
(6a - 2) + (5a - 13) + (5a - 13) = 180°
16 a - 28= 180 ⇒ Add 28 to both sides
16 a = 180 + 28 = 208 ⇒ Divide both sides by 16
a = 208/16 = 13
