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3 years ago

Pls help!! Find the volume of the flower vase. Round to the nearest tenth.

Mathematics

1 answer:

Contact [7]3 years ago

3 0

Answer:

Volume = 1596.2 cubic cm

Step-by-step explanation:

Volume = volume of box - volume of cylinder

Volume = (LxWxH) - 1/3 (pi * r^2 *h)

Volume = (10 x 12 x 20) -1/3 (3.14 x 8^2 x 12)

Volume = 2400 - 803.8

Volume = 1596.2 cm^3

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A grocery store manager uses 1/2 crate of apples for every 3/4 crate if oranges in a fruit display. How many crates of oranges w

ludmilkaskok [199]

Answer:

15/4

Step-by-step explanation:

This is a proportion question

It says 1/2 crates of apple are used for every 3/4 crates of oranges

For 5/2 crates of apple, x crates of oranges will be needed.

To get x, we simply multiply 1/2 by x and equate it to 3/4 multiplied by 5/2

This means: 0.5x = 0.75 × 2.5

x = ( 0.75 × 2.5 ) ÷ 0.5 = 3.75

Hence for 5/2 crates for apple, she will need 15/4 crates of oranges.

8 0

3 years ago

. Anne is pushing a wheelbarrow filled with mulch to place in her garden. She is pushing the wheelbarrow with a force of 70 N at

Kruka [31]

<u>Answer:</u>

When Anne pushes the wheelbarrow 25 meters the work done is 1120 joules

<u>Solution:</u>

We know $\text { Work }(\mathrm{W})=\text { Force }(\mathrm{F})\times\text { Distance (D) }$

Anne is pushing the wheelbarrow with a force of 70 N at an angle of $50^{\circ}$ with the horizontal

So the force of Anne will be $F=70 \cos 50^{\circ}=(70 \times 0.64)=44.8 \mathrm{N}$

She pushes the wheelbarrow 25 meter, So D = 25 meters

So, the $work,F\times D=(44.8 \times 25)=1120 \text { Joules }$

Anne has done total 1120 joules work.

4 0

3 years ago

How many terms are there in a geometric series if the first term is 4, the common ration is 3 and the sum of the series is 160

Marina CMI [18]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
S_n=160
\end{cases}$

$\bf 160=4\left( \cfrac{1-3^n}{1-3} \right)\implies 160=4\left( \cfrac{1-3^n}{-2} \right)\implies 160=-2(1-3^n)
\\\\\\
160=2(3^n-1)\implies \cfrac{160}{2}=3^n-1\implies 80=3^n-1
\\\\\\
81=3^n~~
\begin{cases}
81=3\cdot 3\cdot 3\cdot 3\\
\qquad 3^4
\end{cases}\implies 3^4=3^n\implies 4=n$

3 0

3 years ago

If Rich decides to make no payments during the 4.5 years, the interest will be capitalized at the end of that period. a. what wi

Setler79 [48]

Answer:

a. $9,425.10

b. $3,707.60

Step-by-step explanation:

5 0

3 years ago

Red bricks and grey bricks were used to build a decorative wall. The number of red bricks divided by number of grey bricks was 5

azamat

Red bricks : Grey bricks
5 : 2

Total parts = 5 + 2 = 7

7 parts = 224
-----------------------
Find 1 part:
-----------------------
1 part = 234 ÷ 7
1 part = 32

-----------------------
Find 5 parts:
-----------------------
5 parts = 32 x 5
5 parts = 160

----------------------------------------------
Answer: 160 Red bricks
----------------------------------------------

5 0

3 years ago