Stefan's family raises honey bees and sells the honey at the farmers' market. To get ready for market day, Stefan fills 24 equal sized jars with honey. He brings a total of 16 cups of honey to sell at the farmers' market.

Solving a cubic equation, it is found that the dimensions of the container are of 1 inch, 9 inches and 5 inches.

The volume of the cubic container is given by the following equation:

[tex]V(h) = 2h^3 - 9h^2 + 4h[/tex]

Since it holds 45 cubic inches of merchandise, we have that [tex]V(h) = 45[/tex], then:

[tex]V(h) = 2h^3 - 9h^2 + 4h[/tex]

[tex]45 = 2h^3 - 9h^2 + 4h[/tex]

[tex]2h^3 - 9h^2 + 4h - 45 = 0[/tex]

Using a cubic equation calculator, the real solution is [tex]h = 5[/tex], thus, the dimensions are:

[tex]h = 5[/tex]

[tex]h - 4 = 5 - 4 = 1[/tex]

[tex]2h - 1 = 2(5) - 1 = 10 - 1 = 9[/tex]

The dimensions of the container are of 1 inch, 9 inches and 5 inches.

A similar problem is given at https://brainly.com/question/16606259

Step-by-step explanation:

y=8tan60=8√3

x=8/cos60 = 8 × 2 =16

Answer:

Add/multiply the exponents first.

Step-by-step explanation:

Step-by-step explanation:

Answer in the picture above

And at the side 2 laws are mentioned

Answer:

33

Step-by-step explanation:

12

Answer:

IH, GH, IG

Step-by-step explanation:

We will use this key rule: The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

The angle G is 59 degrees, H is 61 degrees and I is 60 degrees.

The smallest angle is 59 degrees, so the shortest side is the one opposite to that angle, which is side IH.

The largest angle is 61 degrees, so the longest side is the side opposite to that angle, which is side IG.

The side in-between these two is side GH, which is opposite to the 60 degree angle.

Answer:

False (no solution)

Step-by-step explanation:

What is the solution to the equation 3 − 5 + 10 = 36?

3 − 5 + 10 = 36

8 = 36

it's false

Answer:

Charlie drove 203 miles

Step-by-step explanation:

205.74-16.95=188.79

188.79/.93=203

Have a happy day <3 Miss Hawaii

Answer:

hope it helps

Step-by-step explanation:

4. 1/3

5. 1/3

6. 3/4

7. 1/4

8. 1/2

9. 3/7

10. 2/7

11. 3/5

12. 2/3

Answer:

The answer is 20

Answer:

19⋅2(3 third power)/5 ​=30 5/2 ​=30.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

According to the given relationship, we have:

Use the ordered pairs to find same ratio and compare:

Answer:

there's no questions haha, ty sa points

Answer:can you plz give us the question

Step-by-step explanation:

plz mark brainliest i need 5 of them

-2

The difference between 16 and 7 is 9 and the difference between-11 and -20 is 9 as well meaning that the numbers go down in 9

therefore 7-9 is -2

Hope this helped you- have a good day bro cya)

The Answer:  

Simplified 7 1/3

Improper 22/3

Answer:

[tex]5 \frac{1}{2} \div \frac{3}{4} = \frac{22}{3} [/tex]

Step-by-step explanation:

[tex]5 \frac{1}{2} \div \frac{3}{4} \\ \\ \\ \frac{11}{2} \div \frac{3}{4} \\ \\ \frac{11}{2} \times \frac{4}{3} \\ \\ \frac{11}{1} \times \frac{2}{3} \\ \\ \\ \frac{11 \times 2}{1 \times 3} = \frac{22}{3} [/tex]

I hope I helped you^_^

Answer:

4(2+g)

Step-by-step explanation:

8+4g

Rewriting

4*2 + 4*g

Factor out the 4

4(2+g)

Answer:

?

Step-by-step explanation:

There is missing information. Ask this question again but with a picture showing how much the 3 employees worked/how much they each get per hour and I'll be glad to help.

Answer:

200- 10 = 190

so, 190 kids came back..

Step-by-step explanation:

brainliest plz

Answer: 190

Step-by-step explanation:

200-10=190 right? brainiest please

Answer:

29/35 cm for each of the 5 sides

Step-by-step explanation:

The perimeter is the length of all the sides added together.  A pentagon has 5 sides.  So you'd need to divide 4 1/7 by 5.

It might be easier to divide 4 by 5 and then divide 1/7 by 5 then add the two numbers together.

4/5 = 0.80 or 8/10

1/7 divided by 5  is written as (1/7) / (5/1)

When you divide a fraction by a fraction, you flip the fraction in the denominator over and multiply the new fractions.

So (1/7) / (5/1)  turns into   1/7  x  1/5 = 1 / 35

Adding 8/10 + 1/35, you first need to find the common denominator which would be 70.

8/10 would turn into 56/70

1/35 would turn into 2/70

Add them together now and you get 58 / 70.  This can be reduced down to

29 / 35.

Before doing the question let's recall that their are two types of shapes mostly , irregular and regular . Regular shapes have all their sides equal while irregular doesn't have. And here The given shape is pentagon so it will have 5 sides . Also , it's perimeter is given i.e sum of it's all sides , If we assume it's one side to be s then perimeter will be (s+s+s+s+s) more conveniently 5s . Now , heading to our question ,

[tex]{:\implies \quad \sf 5s=4\dfrac{1}{7}}[/tex]

[tex]{:\implies \quad \sf 5s=\dfrac{4\times 7+1}{7}}[/tex]

[tex]{:\implies \quad \sf 5s=\dfrac{28+1}{7}}[/tex]

[tex]{:\implies \quad \sf 5s=\dfrac{29}{7}}[/tex]

[tex]{:\implies \quad \sf s=\dfrac{29}{7\times 5}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Each\:\: Side=\dfrac{29}{35}\:\: cm}}}[/tex]

Answer:

point-slope form: y - 0 = ½(x - 3)    

Step-by-step explanation:

Given the slope, m = ½, and the x-intercept, (3, 0):

We can substitute these values into the point-slope form:

y - y1 = m(x - x1)

y - 0 = ½(x - 3) ←  This is the point-slope form.

If ever you need to transform the point-slope form into its slope-intercept form, y = mx + b:

Distribute ½ into the parenthesis:

y - 0 = ½(x - 3)

y = ½x - 3/2  (this is the slope-intercept form).

Answer:

5 equation matches the table

Answer:

D)  

Step-by-step explanation:

y = 12x.

A) x=8, so that y = 12(8) = 96.  It's on the line

B) x = 10, so that y = 12(10) = 120.  It's on the line

C) x = 15, so that y = 15(12) = 180.  It's on the line

D) x = 18, so that y = 18(12) = 216, not equal to 206.  So, the point is not on the line.

Answer:

c is the answer

Step-by-step explanation:

Answer:

B. $4,000.

Step-by-step explanation:

Well, 5 is like the point where it is, and 2 is the constant of proportionality.

Answer:

0.4

Step-by-step explanation:

2= slope *5 ,slope = 0.4