Sam put a 12-inch ruler into a cup. If 3 inches of the ruler were sticking out of the top of the cup, how deep was the cup?

Complete Question:

Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong, and show Jocelyn the correct solution.

We need to check if 27² + 45² = 36² is a true statement. The left side of the equation is equal to 2,754. The right side of the equation is equal to 1,296. That means 272 + 452 = 362 is not true, and the triangle shown is not a right triangle

Answer/Step-by-step explanation:

Jocelyn used a wrong equation and statement.

Here's what she should have stated and done.

Using the converse of Pythagorean Theorem, which says that a triangle with sides a, b, and c is a right triangle if it satisfy the statement: a² + b² = c².

Where, c is the hypotenuse which is the longest leg. While a and b are the side lengths of the other two legs.

Therefore, in this case,

c = 45

b = 27

a = 36

Thus, what we need to check to be true would be:

36² + 27² = 45² (this is where Jocelyn made a mistake. Jocelyn wrote 27² + 45² = 36² rather)

Let's check if it's true.

2,025 = 2,025 (this is true)

Therefore, the triangle is a right triangle.

Answer:

That would be 84.

Step-by-step explanation:

Here it is

Answer:

x = 9

Step-by-step explanation:

diagonals bisect each other so we can set up these equations:

x+8 = 2y+5

2x = 3y

in the top equation we can solve for 'x': x = 2y-3

in the second equation we can solve for 'x': x = 3y/2

2y-3 = 3y/2

multiply each side by 2 to eliminate fractions:

4y - 6 = 3y

4y = 3y + 6

y = 6

2x = 3(6)

2x = 18

x = 9

AnswerThe first one the rabbit population would go down because the abundance on lynx

the sencond one would be the lynx population would increase because of the abundance of food

Step-by-step explanation:

I hope this helped :)

Answer:

6%

Step-by-step explanation:

[tex]\frac{6}{100}[/tex]

For fractions with 100 as the denominator, it will always have the numerator as its percent value. This is because percentages are essentially comparing a number to 100, which is what [tex]\frac{6}{100}[/tex] is doing. Therefore, [tex]\frac{6}{100}[/tex] as a percentage would be 6%.

I hope this helps!

Answer:

um, your showing us an answer

Step-by-step explanation:

basically, they're saying that

w = 9. So 9-9=0

Step-by-step explanation:

50

Answer:

I'm pretty sure the answer is 64

Step-by-step explanation:

I'm assuming the triangles are transformations of each other, and looking at the side lengths, angles S and P should be congruent, which means they're both 70. Same thing for angles U and R, which are both 46.

46+70=116.

The unknown angles are Q and T, which are congruent. The angles in triangles always add up to 180 degrees, so this means that 180-116=64. Both angles T and Q are 64 degrees.

Q=64

Answer: 2.456 x 10^11

Step-by-step explanation:

You move the decimal to the left until there’s no more zeroes

Answer:

there :D

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

2.456 ×  10  to the power of 11

Answer:

0.875

Step-by-step explanation:

you just divide 7 by 8, and you would get 0.875

7/8=0.875

Answer:

[tex] x = - \frac{1}{4} [/tex]

Step-by-step explanation:

[tex]{9}^{2x + 1} = {81}^{3x + 1} \\ \\{3}^{2(2x + 1)} = {3}^{4(3x + 1)} \\ \\ {3}^{4x + 2} = {3}^{12x + 4} \\ bases \: are \: equal \: so \: exponents \: \\ will \: also \: be \: equal\\ \\ 4x + 2 = 12x + 4 \\ \\ 2 - 4 = 12x - 4x \\ \\ - 2 = 8x \\ \\ x = - \frac{2}{8}\\ \\ x = - \frac{1}{4} [/tex]

Answer: 1.9%

Step-by-step explanation:

The percent error formula is [tex]\frac{accepted-experimental}{accepted}[/tex] so input our values also keep in mind when we do percent error we use absolute error which means no negative percentages so 470-479/470= -9/470 or 9/470

as a decimal 9/470 is 0.019 or 1.9% so the answer is 1.9%

Answer: It does not matter whether you multiply the radicands or simplify each radical first. You multiply radical expressions that contain variables in the same manner. As long as the roots of the radical expressions are the same, you can use the Product Raised to a Power Rule to multiply and simplify.

Step-by-step explanation:

Answer:

Availability

Step-by-step explanation:

-10m - 6m -8 -6m = −22m −8

The statement which is true among the answer choices is; Only 140 is an outlier.

An outlier by definition is a data point that differs significantly from other observations which may be due to an error and hence, may cause difficulty in statistical evaluation.

On this note, it follows that only 140 is an outlier among the answer choices.

Read more on outliers;

https://brainly.com/question/3631910

#SPJ1

It's D. There are no outliers

Answer:

$630

Step-by-step explanation:

cost of each litter of petrol 378/9=42

cost of 15 liters of petrol 42x15=630

15 litters of petrol cost $630

Answer: $630

Step-by-step explanation:

[tex]9l[/tex] = $[tex]378[/tex]

[tex]\frac{378}{9}[/tex] to find [tex]xl[/tex] = $42

Answer:

Tn = 1 + 2n

Step-by-step explanation:

Given the arithmetic sequence

3 , 5 , 7 ...

The nth term of an AP is expressed as;

Tn = a + (n-1)d

a is the first term = 3

d is the common difference = 5-3 = 7-5 = 2

n is the number of terms

Substitute

Tn = 3 + (n-1)(2)

Tn = 3 + 2n-2

Tn = 1 + 2n

Hence the nth term rule for the number of matchsticks in pattern n is 1 + 2n

Answer:

8.3

Step-by-step explanation:

40-4=36

3x3=9

36-9=25

25/3 = 8.3

x=7

Step-by-step explanation:

Answer:

The input is always represented on the x-axis.

The definition of a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

We cannot have multiple of the same inputs or x-values for a relation to be a function.

Answer:

2 t-shirts, 3 cd's, 5 books.

Step-by-step explanation: Johnson wants to spend $105 in total, get 10 items total, and get at least 1 t-shirt, 1 cd, and 1 book. If he did not want to buy 10 items then he could buy 21 books, 10 cd's and 1 book, or 4 t-shirts and 1 book. But because of all the conditions Johnson should buy 2 t-shirts ($50), 3 cd's ($30), and 5 books ($25). $105 total, and as much of each item as possible.

Answer:

Step-by-step explanation:

V=side ³=8=2³

side=2 in

Answer:

2 in

Step-by-step explanation:

X^3= 8

X = 2

Step-by-step explanation:

yea the answer us 8dj but u jejrjfjfjdjdjjfjfjcj

Answer:

C. Four times eight to the fifth.

Step-by-step explanation:

A. is four times TIMES 5 (Incorrect, NOT the answer)

B. Is 4 to the eight TIMES 5 (Incorrect, NOT the answer!)

C. Is 4 times eight to the fifth (CORRECT, is the answer.)

D. Is 4 to the eight TIMES 5 again! (Incorrect, NOT the answer!)

     I Hope This Helped! :)

Answer:(0, -28) and (4,0)

Step-by-step explanation:

[tex]7(0)-y =28\\-y=28\\y=-28\\(0, -28)[/tex]

[tex]7x-0= 28\\x=4\\(4,0)[/tex]