Shown below is a jar which is in the shape of a right circular cylinder. What is the length of the longest stick that could fit in this jar (without bending or breaking the stick and with no part sticking out)?

Answer:

21.91 meters

Step-by-step explanation:

Since they already give you the hypotenuse, you will find the other missing side using this formula:

A= [tex]\sqrt{c^2 - b^2}[/tex]

So c² = 1,156

and b² = 676

1156 - 676 = 480

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The square root of 480 is around 21.91

Let's double check, to double check, pretend that you don't know the hypotenuse, but you know the a and b sides.

So: 480.05 + 676 = 1,156.05

[tex]\sqrt{1156.05}[/tex] ≈ 34

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Have a good day :)

Answer:

Step-by-step explanation:

Look at the picture.

Vertical angles, corresponding angles, alternate exterior angles are congruent.

Supplementary angles add up to 180°.

Answer:

C. 22

Step-by-step explanation:

C = circumference

n (pi) = 22/7

r = 3 1 /2

Plug in the numbers for each variable.

C = 2x (22/7) x (3 1/2)

Change the mixed number inIto an improper fraction by multiplying 3 x 2 and adding the 1 which gives us 7 over 2 because 2 is our denominator  so, 3 1/2 = 7/2. It also helps to have 1 as the denominator for 2.

C = (2/1) x (22/7) x (7/2)

Lastly, just multiply the numerators across which give us 308 then multiply the denominators across which gives us 14, so then we divide 308 by 14 and get 22.

Answer:

9. y=(x+1)^2+4

10. y=(x-1)^2+4

7. (6,1)

8. (5,-2)

Answer:logan

Step-by-step explanation:

I did it on a test and got it right.

Answer:

958.99

Step-by-step explanation:

Since the nine is bigger than four, you'd make the eight a nine.

For further help I suggest this website:

https://www.varsitytutors.com/hotmath/hotmath_help/topics/rounding-decimals

Answer:

20 Queens

Step-by-step explanation:

4:5

8:10

12:15

16:20

or

4:5 = 1:1.25

1.25 x 5 = 20

I hope this helps! ^_^

Complete question :

Alicia records the total number of points scored in two games by 10 players on her basketball team.

28, 13, 4, 8, 15, 10, 22, 7, 11, 15

Which box plot represents the data

Answer:

The most appropriate boxplot is the third option.

Step-by-step explanation:

Given the data:

28, 13, 4, 8, 15, 10, 22, 7, 11, 15

Ordering the data:

Ordered data : 4,7,8,10,11,13,15,15,22,28

Minimum value = 4

Maximum = 28

Using a boxplot maker :

Median = 12

First quartile: 8

Third quartile: 15

Answer:

im pretty sure its a

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

This is a right triangle, which fits the Pythagorean Theorem, a^2 +b^2 = c^2. The variables a, b, and c all are sides of the triangle, while a and b are the two legs and c is the hypothenuse.

In this problem, we see that 6 and x are the legs and 10 is the hypothenuse.    We put 6 as "a" and x as "b" (but it doesn't matter which is a and b) and 10 is c. Therefore, we have the equation:

6^2 + x^2 = 10^2

which further simplifies to:

36 + x^2 = 100

x^2 = 64

and so x would equal 8 (or -8, but it is impossible to have a side length of -8).

Therefore, the missing side is 8.  

Answer:

The missing side is x=8

Step-by-step explanation:

The missing side equation is a²+b²=c²

So we plug in 6²+b²=10²

This gives us 8²

Answer:

300 girls, 200 boys

Step-by-step explanation:

To find boys: 500 x 0.4 = 200

To find girls: 500 x 0.6 = 300

60% girls

Answer:

50 cm²

Step-by-step explanation:

5 · 6 = 30 cm²

14 - 6 = 8

8 · 5 = 40 cm²

40 cm² ÷ 2 = 20 cm²

30 cm² + 20 cm²

50 cm²

Answer:

10 % of 60$ => 10/100 × 60$ => 6$

6$ for 7 cds => 42 $

Answer:

32

Step-by-step explanation:

[tex]\frac{8^{3}}{4^{2}} = \frac{512}{16} = 32[/tex]

Answer:

32.

Step-by-step explanation:

[tex]8^3/4^2[/tex]

First, simplify the exponents by converting the exponents into numbers.

[tex]8^3=512[/tex]

[tex]4^2=16[/tex]

Lastly, divide as normal.

[tex]512/16=32[/tex]

Therefore, 8³ ÷ 4² = 32.

Answer:

8/300= hsjjsksksksbsjsishshvsjsksossbsbakaoans sbsjsjsjsbs sbsksis

Answer:

[tex]m<U = 103[/tex]

Step-by-step explanation:

The given trapezoid is an isosceles trapezoid, meaning that the two legs of the trapezoid (sides that intersect the parallel lines) are congruent. One of the proprieties of an isosceles trapezoid is that the opposite angles are supplementary, meaning that the sum of the opposite angles is 180. One can apply this theorem here by stating the following,

[tex]m<S + m<U = 180[/tex]

Substitute,

[tex]77+m<U = 180[/tex]

Inverse operations,

[tex]77+m<U = 180[/tex]

[tex]-77[/tex]

[tex]m<U = 103[/tex]

Answer:

[tex] m\angle U = 103\degree[/tex]

Step-by-step explanation:

[tex] m\angle T + m\angle S = 180\degree [/tex] (interior angles on the same side of transversal)

[tex] m\angle T + 77\degree = 180\degree [/tex]

[tex] m\angle T = 180\degree- 77\degree[/tex]

[tex] m\angle T = 103\degree[/tex]

[tex] m\angle U =m\angle T [/tex]

(base angles of an isosceles trapezoid)

[tex] m\angle U = 103\degree[/tex]

A unit rate is a special type of ratio (also called a single-unit rate). It will compare 1 unit of some quantity to a different number of units of a different quantity. Unit rates are often used in real life situations, like when you need to convert between measurement systems.

Answer:

What does that mean

Step-by-step explanation:

Answer:

Free enterprise, also known as free market or capitalism, is an economic system driven by supply and demand. Private businesses and consumers control the marketplace with little to no interference from the government. In this type of system, the government does not have a central plan for the nation's economy.

Step-by-step explanation:

Answer:

A = 6

Step-by-step explanation:

just multiply the width by the length

Answer:

What it is is basically when you take the area of every side of a three dimensional shape and then add it all together.

don't know if this is what you were looking for but I hope this helps.

Answer:

Polynomial

[tex]x^4 +3x^3 -5x^2 -7x +20\\\\x^3 -2x^2 +x -12\\\\x^2 + 3x^5 -6x +12x^3[/tex]

not a polynomial

[tex]4\sqrt[3]{x} -\sqrt{x} -20\\\\x^{-3}-x}^{-2}-6x^{-1}+8\\\\\frac{5}{x^3} -\frac{1}{x^2} +\frac{8}{x} -40\\\\[/tex]

Answer:

½

Step-by-step explanation:

since they're 4 of them and she has 1 chance of being 1st or 2nd...it would be 2 out of 4 and when simplified it is ½

Answer:

Step-by-step explanation:

No attempt is made to influence anything - just ask questions and record the responses. By definition, An observational study measures the characteristics of a population by studying individuals in a sample, but does not attempt to manipulate or influence the variables of interest.

Answer:

55

Step-by-step explanation:

if it cost 2,145 for the whole thing and 39 for each person 2,145 divide by 39= 55

Question: Mai had $14.50. She spent $4.35 at the snack bar and $5.25 at the arcade. What is the exact amount of money Mai has left?

Answer: $4.90

Steps: Step 1: Find operation: The operation in this problem is subtraction because words such as "spent" means that she used money, meaning we subtract.

Step 2: Figure out order of numbers: Now that we know that the operation is subtraction, we need to know what numbers to subtract. The problem says that Mai had $14.50, which means that this is the total amount of money she had when she started. Spent means that Mai used money, so this means that we subtract like this: $14.50-$4.35-$5.25.

Step 3: Subtract: Now that we know what operation to use, and what order to use the numbers, we can finish the problem:

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Question: Kristina rides her bicycle 384.25 miles over 29 weeks to and from her job. How many miles does she ride each week to and from her job if she rides the same amount each week?

Answer: 13.25

Steps: 1: Find operation: To solve this question, we need to find the operation. Words such as "same amount each week" mean that this is division.

Step 2: Figure out order of numbers: Now, we need to figure out what to divide by. We divide 384.25 by 29 because it say that she rides 384.25 miles over 29 weeks.

Step 3: Divide: Now, we will solve the equation: 384.25 divided by 29 is 13.25, so the answer is 13.25.

Hope this helps you!

P.s. Sorry I could not show how to divide 384.25 by 29.

Step-by-step explanation:

6x + 15

3 (2x + 5)

0r

(3 × 2x) + (3 × 5)

Answer:

Mila= 420 Nadia= 60

Step-by-step explanation:

Let's call Mila 7x. And x to Nadia. The two of them had a total of 480s.

Then we say 7x + x. Their total is 8x. So 480 = 8x. We divide both sides by 8. Here x = 60. Since Mila is 7x, we find Mila as 7.60 = 420, and since Nadia as x, we find Nadia as 1.60 = 60.

If there is any place you don't understand, you can ask.

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