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4 years ago

I need help please and thank you

Mathematics

1 answer:

vivado [14]4 years ago

8 0

Step-by-step explanation:

diameter i.e. d = 12ft

radius i.e r= 6ft

Area of the circle is given by,

$\pi {r}^{2} = 3.14 \times {(6)}^{2}$

$= 3.14 \times 36 = 113.04 \: \: {ft}^{2}$

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Can someone please help with these 2 questions? It would mean the world to me. I have attached the image for the questions.

sweet [91]

Answer:

2 $\frac{1}{20}$

Step-by-step explanation:

for question a)

It would be easier if you converted these to improper fractions (currently it is in the form of a proper fraction)

to convert to improper fraction, you would multiply the denominator (bottom no. of fraction) by the whole number , then add that with the numerator (top no. of fraction) and put the whole thing over the denominator.

E.g.

7 $\frac{1}{4}$ = 7x4 + 1 = 29

Thus, improper fraction would be $\frac{29}{4}$

do same thing for other one

thus , $\frac{26}{5}$

now,

$\frac{29}{4}$ - $\frac{26}{5}$

however, you can't do this as the denominators are not the same, so multiply them by a number which would give the a common denominator (20 would be the best option for common denominator)

$\frac{145}{20} -\frac{104}{20}$ = $\frac{41}{20}$

convert back to mixed number

2 $\frac{1}{20}$

5 0

3 years ago

Read 2 more answers

40% of a number is 44. Find the number

Marta_Voda [28]

Answer:

110

Step-by-step explanation:

40% is the same as 40/100, which is equal to 0.4. Therefore, you can write the following equation:

0.4x=44

Divide both sides by 0.4 to isolate x:

x=44/0.4=110

Hope this helps!

4 0

3 years ago

BRAINLIEST to wherever gets this correct

schepotkina [342]

Answer:

$300\pi$ cubic feet

Step-by-step explanation:

Let r be the radius of cone and h be the height of cone.

Radius of cylinder=r

Height of cylinder=h

Volume of cone= $100\pi ft^3$

We have to find the volume of cylinder.

We know that

Volume of cone= $\frac{1}{3}\pi r^2 h$

$100\pi=\frac{1}{3}\pi r^2 h$

$r^2 h=300$

Volume of cylinder= $\pi r^2 h$

Using the formula

Volume of cylinder= $\pi (300)=300\pi ft^3$

Hence, the volume of cylinder= $300\pi$ cubic feet

4 0

3 years ago

Which expression is equivalent to 8a+3b+4a-9b??<br> Please help!

Juli2301 [7.4K]

Answer:

12a - 6b

Step-by-step explanation:

Given

8a + 3b + 4a - 9b ← collect like terms

= (8a + 4b) + (3b - 9b)

= 12a + (- 6b)

= 12a - 6b

5 0

3 years ago

Please help me with precalculus??<br>linear and angular speed

Anit [1.1K]

13)

there are 2π radians in 1 revolution, and there are 60 seconds in 1 minute, so keeping that in mind, then,

$\bf \cfrac{4\underline{\pi} }{5~\underline{s}}\cdot \cfrac{rev}{2\underline{\pi} }\cdot \cfrac{60~\underline{s}}{min}\implies \cfrac{4\cdot 60~rev}{5\cdot 2~min}\implies \cfrac{240~rev}{10~min}\implies 24\frac{rev}{min}$

14)

$\bf \textit{linear velocity}\\\\
v=rw\quad 
\begin{cases}
r=radius\\
w=angular~speed\\
----------\\
v=32\frac{m}{sec}\\
w=100\frac{rev}{min}
\end{cases}\\\\
-------------------------------\\\\
\textit{let's convert \underline{w} to }\frac{radians}{sec}$

$\bf \cfrac{100~\underline{rev}}{\underline{min}}\cdot \cfrac{2\pi }{\underline{rev}}\cdot \cfrac{\underline{min}}{60~sec}\implies \cfrac{100\cdot 2\pi }{60~sec}\implies \cfrac{10\pi }{3~sec}\implies \cfrac{10\pi }{3}\frac{radians}{sec}\\\\
-------------------------------\\\\
v=rw\implies \cfrac{v}{w}=r\implies \cfrac{\frac{30~m}{sec}}{\frac{10\pi }{3~sec}}\implies r=\cfrac{30~m}{\underline{sec}}\cdot \cfrac{3~\underline{sec}}{10\pi }
\\\\\\
r=\cfrac{90}{10\pi }m$

15)

what is the radians per seconds "w" in revolutions per minute? just another conversion like in 13)

$\bf \cfrac{\underline{\pi} }{3~\underline{sec}}\cdot \cfrac{rev}{2\underline{\pi }}\cdot \cfrac{60~\underline{sec}}{min}\implies \cfrac{60 ~rev}{3\cdot 2 ~min}\implies \cfrac{60 ~rev}{6 ~min}\implies 10\frac{rev}{min}$

4 0

4 years ago