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3 years ago

Distribute property to simplify 4(3x+2)

Mathematics

1 answer:

Julli [10]3 years ago

8 0

Here is the equation:

$4(3x+2)$

Since 4 is next to the parentheses, you have to multiply everything in the parentheses by 4.

First multiply 3x by 4:

$3x \times 4 = 12x$

Now multiply 2 by 4:

$4 \times 2 = 8$

Now add them together:

$12x+8 = 12x +8$

Your answer is <u>12x + 8</u>

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If the hemisphers has a radius of 3 feet, how many cubic feet of water can the water tank hold?

Eduardwww [97]

Answer:

$volume \ of \ hemisphere = \frac{2}{3} \pi r^3 = \frac{2}{3}\pi \cdot (3)^3 = \frac{2}{3} \pi 27 = 2\pi \cdot9 = 18\pi cubicfeet$

8 0

3 years ago

What is the area of a regular polygon with 100 sides and a perimeter of 100 units?

PolarNik [594]

Now, if the regular polygon has 100 sides, and the perimeter is 100 units, that simply means that each side is 1 unit, foot, meter, else.

so, we know each side is 1 unit long, and we know there are 100 sides,

$\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{4}ns^2cot\left( \frac{180}{n} \right)\quad 
\begin{cases}
n=\textit{number of sides}\\
s=\textit{length of a side}\\
\frac{180}{n}=central~angle\\
\qquad~~ in~degrees\\
----------\\
n=100\\
s=1
\end{cases}
\\\\\\
A=\cfrac{1}{4}\cdot 100\cdot 1^2\cdot cot\left( \frac{180}{100} \right)\implies A=25cot\left(\frac{9}{5}^o \right)
\\\\\\
A\approx 795.51289884$

3 0

3 years ago

I have a geometry test I’m gonna fail. If you know any of these answers please put the number of the question,than the answer. I

blsea [12.9K]

Answer:

Step-by-step explanation:

20) Angles 1 and 2 are supplementary angles( sum of angle 1 and angle 2 is 180 degrees)

21) Angles 1 and 2 are supplementary angles( sum of angle 1 and angle 2 is 180 degrees)

22) Angle TUW + Angle WUV =Angle TUV

Therefore

(7x-9) + (5x - 11) = (9x+1)

7x-9 + 5x - 11 = 9x+1

7x +5x-9x =1 + 11 + 9

3x = 21

x = 21/3= 7

23) GEF - 13 = 5DEG

and DEF = 149 degrees

GEF = 5DEG + 13

Sum of angles (GEF + DEG)=DEF

Therefore,

DEG + 5DEG - 13 = 149

6DEG = 149 + 13 = 162

DEG = 162/6 = 27

GEF = 5DEG = 27 × 5 =135

24) 7x - 1 + 6x -1 = 180(sum of angles in a straight line)

13x-2 = 180

13x = 180+2 = 182

x = 182/13 = 14

25) 5x + 4 + 8x - 7 = 180( sum of supplementary angles is 180)

13x = 180+7-4= 183

x = 183/13 = 14.08

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2 years ago

Please help last question

Helga [31]

Find the total of male students:

4 + 6 + 2 + 2 = 14 total males.

There are 2 male juniors.

The probability of a male being a junior is 2/14 = 1/7 = 0.143 = 14.3 = 14%

6 0

3 years ago

Read 2 more answers

Please help me answer the question in the picture

coldgirl [10]

Answer:

D. y-5 = 3(x+1)

Step-by-step explanation:

Slope of the perpendicular line is 3.

Slope intercept form is,

y-5 = 3 (x-(-1))

y-5 = 3(x+1)

4 0

3 years ago