What is the answer for 10-6(5-2y)

Mathematics

2 answers:

grin007 [14]3 years ago

8 0

Answer:

-20 + 12y

Step-by-step explanation:

Equation: 10 - 6(5 - 2y)

Step 1:

10 - 30 + 12y Multiply (5 - 2y) by -6 (distributive property)

Step 2:

-20 + 12y Subtract 10 by 30 (10 - 30 = -20)

dangina [55]3 years ago

7 0

Answer:

$12y-20$

Step-by-step explanation:

First, we need to distribute.

$= 10+(-6)(5)+(-6)(-2y)= 10+-30+12y$

Now, we need to combine these terms.

$=10+-30+12y=(12y)+(10+-30)=12y+-20$

The answer is

$12y-20$

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$\huge\boxed{\sf Volume = 384 \ cm^3}$

Step-by-step explanation:

Slant Height = 10 cm

Base Edge = 12 cm

<u>Finding the Height using Pythagorean Theorem:</u>

$\sf c^2 = a^2 + b^2 \\\\Where \ c = 10\ cm , b = 6\ cm [Half of 12] \ and \ a \ is \ height\\\\10^2 = a^2 + 6^2\\\\100=a^2 +36\\\\100-36 = a^2\\\\64 = a^2\\\\Taking \ sqrt \ on \ both \ sides\\\\Height= 8 \ cm$

$\rule[225]{225}{2}$

<u>Now, Finding the volume:</u>

$\sf Volume = a^2 \frac{h}{3}\\\\ Where \ a \ is base \ edge \ and \ h \ is \ height\\\\Volume = (12)^2 \frac{8}{3} \\\\Volume = 144 \frac{8}{3} \\\\Volume = 48*8\\\\\bold{Volume = 384 \ c m^3}$