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3 years ago

9

A carpenter has a board of 18.5 feet long and needs to cut as many 1.75 feet long pieces as possible how many pieces can the car

penter cut explain how you found the answer

1 answer:

Lostsunrise [7]3 years ago

6 0

Answer:

Step-by-step explanation:

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A silo is not the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cu

Gnom [1K]

Answer:

$7803.72

Step-by-step explanation:

We have been given that a silo is in the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cubic meter. We are asked to find the total cost to fill the silo with soybeans.

First of all, we will find the volume of silo using volume of cone formula.

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

r = radius

h = Height

We know that radius is half the diameter, so radius of silo would be $r=\frac{3}{2}=1.5$ .

$\text{Volume of cone}=\frac{1}{3}\pi (1.5\text{ m})^2 (8)\text{ m}$

$\text{Volume of cone}=\frac{1}{3}\pi\times 2.25\text{ m}^2 (8)\text{ m}$

$\text{Volume of cone}=\pi\times 0.75\text{ m}^2 (8)\text{ m}$

$\text{Volume of cone}=\pi\times 6\text{ m}^3$

$\text{Volume of cone}=18.8495559\text{ m}^3$

Now we will multiply total volume by $414 to find total cost.\

$\text{Total cost of soybeans}=\$414 \times 18.8495559$

$\text{Total cost of soybeans}=\$7803.7161426$

$\text{Total cost of soybeans}\approx \$7803.72$

Therefore, it will cost $7803.72 to fill the silo with soybeans.

5 0

2 years ago

in germany, VAT is at 19% Jeremy buys a calculator in germny for €58.31 This price includes VAT Find the amount of VAT paid by

Len [333]

We can use this equation to solve this problem:

<span>t=p+<span>(p⋅r)</span></span>

Where:

t is the total price paid: 58.31 for this problem

p is the price before taxes: What we are solving for in this problem.

r is the tax or VAT rate: 19% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 19% can be written as <span>19100</span> or 0.19.

Substituting and solving for p gives:

<span>58.31=p+<span>(p⋅0.19)</span></span>

<span>58.31=1p+0.19p</span>

<span>58.31=<span>(1+0.19)</span>p</span>

<span>58.31=1.19p</span>

<span><span>58.311.19</span>=<span><span>1.19p</span>1.19</span></span>

<span>49=<span><span>1.19p</span>1.19</span></span>

<span>49=p</span>

<span>p=49</span>

Now, we can find how much the VAT was by taking 19% of 49:

<span>19%×49=0.19×49=9.31</span>

Another was to solve this is to subtract the price without the tax or VAT from the total price giving:

<span>58.31−49=<span>9.31</span></span>

4 0

3 years ago

Read 2 more answers

In his freshman year, Mario earned a C in algebra, a B in English, an A in science, and a C- in geography. As a sophomore, he ea

Leya [2.2K]

from what I know

A=4

B=3

C=2

and a plus adds 0.33 and a minus minuses 0.33

question wants us to find yearly average or average per 1 year

since these grades span over 2 years, we must divide the total average by 2

averagefresh=sum of fresh grades/4 grades per year

averagesoph=sum of soph grades/4 grades per year

yearlyaverage=(averagefresh+averagesoph)/2

freshman:

(C)+(B)+(A)+(C-)=2+3+4+(2-0.33)=10.67

sophomore:

(B+)+(A-)+(C+)+(B-)=(3+0.33)+(4-0.33)+(2+0.33)+(3-0.33)=12

averagefresh=10.67/4=2.6675

averagesoph=12/4=3

yearlyaverage=(2.6675+3)/2=2.83375

so it's about a $B^{-}$ average

7 0

3 years ago

Diane is 23 years older than her daughter Amy and 6 years Diane will be twice as old as Amy how old are they now

Dmitry_Shevchenko [17]

The age difference between Diane and Amy remains the same. 6 year later, the age difference is still 23 years old.

6 years later,
Amy is 23 years old
Diane is 46 years old

Now,
Amy, 17 years old
Diane, 40 years old.

6 0

3 years ago

Lynn is trying to determine how far away Student B is from the balloon. He decides to use the

kaheart [24]

Answer:

See Explanation

Step-by-step explanation:

<em>The question is incomplete as the image that illustrates the scenario is not given.</em>

<em>However, I can deduce that the question is about a right-angled triangle.</em>

<em>So, I will give a general explanation on how to find each of the side of the triangle, given a side and an angle.</em>

<em />

<u>For triangle A (solve for b)</u>

Using cosine formula.

$\cos \theta = \frac{Adjacent}{Hypotenuse}$

$\cos 60= \frac{5}{b}$

Make b the subject

$b= \frac{5}{\cos 60}$

<u>For triangle B (solve for b)</u>

Using cosine formula.

$\sin \theta = \frac{Opposite}{Hypotenuse}$

$\sin 60= \frac{b}{5}$

Make b the subject

$b = 5\sin 60$

<u>For triangle C (solve for b)</u>

Using cosine formula.

$\tan \theta = \frac{Opposite}{Adjacent}$

$\tan 60= \frac{b}{5}$

Make b the subject

$b = 5\tan 60$

3 0

2 years ago

Read 2 more answers