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frez [133]
3 years ago
7

Félix can carve 3 pumpkins in 20min.His brother can carve 2pumpkins in 30mins.How many pumpkins will the two boys carve in 2 hou

rs
Mathematics
2 answers:
maxonik [38]3 years ago
5 0
Mmmm let me think about it
Lelechka [254]3 years ago
4 0
Felix- 3 in 20 min, 9 in one hour, 18 in two hours.
his brother- 2 in 30 min, 4 in one hour, 8 in two hours.
18+8=26
answer=26
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A clock tower has a circular clock face with a circumference of 48π feet. What is the radius of the clock face ?
KatRina [158]

Answer:

r = 24 ft

Step-by-step explanation:

Circumference is given by

C = 2 * pi *r

We know that C  = 48 pi

48 pi = 2 * pi * r

Divide each side by pi

48 pi /pi= 2 * pi * r/pi

48 = 2 r

Divide each side by 2

48/2 = 2r/2

24 = r

7 0
3 years ago
A large cylindrical cooler is 2 (1 )/2 feet high and has a diameter of 1 1/2 feet. It is filled 3/4 high with water for athletes
Ivahew [28]
So.. if hmm check the picture below, the radius is half that diameter

thus \bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad 
\begin{cases}
h=height\\
r=radius=\frac{diameter}{2}\\
----------\\
h=2\frac{1}{2}\to \cfrac{5}{2}\\
diameter=1\frac{1}{2}\to \cfrac{3}{2}\\
r=\cfrac{\frac{3}{2}}{2}\to \cfrac{3}{4}
\end{cases}\implies V=\pi \left( \cfrac{3}{4} \right)^2\cfrac{5}{2}
\\\\\\
V=\pi \cdot \cfrac{9}{16}\cdot \cfrac{5}{2}\impliedby \textit{how much is }\frac{3}{4}\textit{ of that?}
\\\\\\
\cfrac{3}{4}\left( \pi \cdot \cfrac{9}{16}\cdot \cfrac{5}{2} \right)

simplify that away

now.. that's how much is in the cooler in cubic feet though, not in gallons

notice, our units were in feet, thus our volume is also in feet, just cubics

so. to know how many gallons, simply divide that by 231

\bf \cfrac{\frac{3}{4}\left( \pi \cdot \frac{9}{16}\cdot \frac{5}{2} \right)}{231}\quad gallons

4 0
4 years ago
Samantha wants to buy a dress that costs $20. The sales tax is 6%.<br> How much is the sales tax?
Andrei [34K]

Answer:

1.2

Step-by-step explanation:

multitply 20 times  0.06

7 0
3 years ago
Can someone help me please
egoroff_w [7]

Answer:

its just a black screen

Step-by-step explanation:

6 0
3 years ago
Find a unit vector in the direction of the vector left bracket Start 3 By 1 Matrix 1st Row 1st Column negative 8 2nd Row 1st Col
MrRissso [65]

Answer:

\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]

Step-by-step explanation:

We are required to find a unit vector in the direction of:

\left[\begin{array}{c}-8\\7\\2\end{array}\right]

Unit Vector, \hat{a}=\dfrac{\overrightarrow{a}}{|\overrightarrow{a}|}

The Modulus of \overrightarrow{a} =\sqrt{(-8)^2+7^2+(-2)^2}=\sqrt{117}

Therefore, the unit vector of the matrix is given as:

\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]

5 0
4 years ago
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