A damsel is in distress and is being
held captive in a tower. Her knight in
shining armor is on the ground below
with a ladder. When the knight stands
15 feet from the base of the tower and
looks up at his precious damsel, the
angle of elevation to her window is 60
degrees. How long does the ladder
have to be?

Answer: A

Step-by-step explanation: since there’s 110 candies divide it between the 3 friends plus ruby and her brother. So divide 110 by 5 and it will be your final answer

Answer:

A. 22

Step-by-step explanation:

First, you don't want to fall into the trap. The question says Ruby, her brother, AND 3 friends. That means you have to add everyone. 3(friends)+2(Ruby and her brother)=5 people. Then you have to divide. 110/5=22.

So, A.22 candies each.

Answer:

False

Step-by-step explanation:

If we remove the last 0 in 5.020, then we have 5.02, which is not equal to 5.20.

Answer: false

Step-by-step explanation:

5.020 less than 5.20

Answer:

Step-by-step explanation:

14 by 21. 14 shorter length

Answer:

-4

Step-by-step explanation:

Hey there! I'm happy to help!

How many times does 2 minutes go into 6 minutes?

6/2=3

So, the dog rolls over 25 times 3 times!

25(3)=75

Therefore, the dog can roll over 75 times in 6 minutes.

Have a wonderful day! :D

Answer:

The inverse of the function is;

x = (y + 2)/3

Step-by-step explanation:

Here in this question, we shall be calculating the inverse of a function.

The function is;

y = 3x - 2

Firstly, let w = x;

y = 3w -2

y + 2 = 3w

w = (y + 2)/3

Now replace w by x

x = (y + 2)/3

This is the inverse of the function

Answer:

3/2 and 4

Step-by-step explanation:

Answer:

3/2 and 4 are the answers. Hope this helps!

Answer:

product

Step-by-step explanation:

the answer is called a product

Answer:

10x + 30 = 600

Step-by-step explanation:

Johnny gets $10 per week, which is $10x for x number of weeks.

He already has $30, so his money becomes 10x + 30.

His goal is to have $600, so our equation becomes 10x + 30 = 600

Answer:

A, the other person was correct

Step-by-step explanation:

The polynomial functions is graphed below is f(x) = (x+ 4)(x- 2)².

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

There are three components that make up a function: a set of inputs, a set of outputs, and a rule that links the elements of the input set to the elements of the output set so that each input is paired with exactly one output.

We have a graph for polynomial function.

We know that the function of graph have solution where the graph touches or passes the x axis.

Here from the graph at x = -4 and at x= 2 the touches and moves upward.

So, the factors of polynomial are (x+ 4) and (x- 2).

Thus, the polynomial function is f(x) = (x+ 4)(x- 2)².

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The slope of the line x = 5 is undefined.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided about this line, a linear equation that models it is given by;

y = mx + b

x = 5

This ultimately implies that, this line is a vertical line and as such, it has no slope or an undefined slope. Therefore, the x-intercept is 5 and the slope is undefined.

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Answer:

Irrational

[tex]\sqrt{3}[/tex] = approx. 1.7

Step-by-step explanation:

The square root of 3 is irrational, because 3 is not a perfect square.

For example, 4 is a perfect square, so the square root (2) will be rational.

The square root of 3 is 1.73205080757,

and we can round this to 1.7 for the tenths place

Answer:

Amount of money she gets per day -> $1.50

Amount of money she gets after x days -> [tex]1.5x[/tex]

Total amount of money = 3 + 1.5x

Total amount of money = y

[tex]1.5x+3=y[/tex]

Answer:

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes

Given line:

Perpendicular line is:

So the line is:

Answer:

3.915

Step-by-step explanation:

Use a calculator.

8.7 × 0.45 = 3.915

Answer: 23 cupcakes

Step-by-step explanation:

Answer:

23 were taken

Step-by-step explanation:

30-7=23

Answer:

2x+5

Step-by-step explanation:

2 times a number plus 5

Answer:

7 teams of 4 but there would be an extra person

Step-by-step explanation:

.253 as a fraction would be

253/100

Answer:

Positive Integer factors of 630 = 2, 3, 6, 18, 5, 90, 7, 630 divided by 2, 3, 3, 5, 7, gives no remainder. They are integers and prime numbers of 630, they are also called composite number.

Answer:

16

Step-by-step explanation:

16/8=8

Half of 16 is 8.

8 is 8 less than 16.

Hope this helps.

Answer:

The required number is 12

the answer is -1000 as -10 cube is -1000

The value of product of (-10)(-10)(-10) is -1000.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operations are called arithmetic operators.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts right-hand operand from left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

To determine the product of (-10)(-10)(-10)

⇒ (-10)(-10)(-10)

Multiplying the last two terms and (-) signs cancel out each other,

⇒ (-10)(100)

Multiplying the two terms,

⇒ -1000

Hence, the value of product of (-10)(-10)(-10) is -1000.

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the answer is G

Step-by-step explanation:

G is the answer

Step-by-step explanation:

I guess it's G because g might make make an exponents

Answer:

x = 0

Step-by-step explanation:

|6x| - 8 = -8

Add 8 to each side

|6x| - 8+8 = -8+8

|6x| = 0

Removing the absolute value

6x = 0

Divide by 6

6x/6 = 0/6

x = 0

Answer:

16

Step-by-step explanation:

por que si por 25 son 4 en 75 son 12

Answer:

D

Step-by-step explanation:

The volume for a rectangular prism is given by the formula:

[tex]V=lwh[/tex]

The length is 2h, the width is 9-h, and the height is h. So:

[tex]V=2h(h)(9-h)[/tex]

Multiply the first two terms:

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

Distribute:

[tex]V=18h^2-2h^3[/tex]

Our answer is D.

I hope this helps!

Answer:

212 bp^3 (base pairs cubed) - 121 bp^3 (base pairs cubed) + 222 bp^3 (base pairs cubed) = 313 bp^3 (base pairs cubed

Step-by-step explanation:

Answer:

It will take Billy 36 minutes to walk 9km.

Answer:

[tex]\boxed{\tt 36 \ minutes}[/tex]

Step-by-step explanation:

Let's make a proportion using the following setup:

[tex]\frac{minutes}{kilometers} =\frac{minutes}{kilometers} \\[/tex]

We know it takes Billy 6 minutes to walk 1.5 kilometers.

[tex]\frac{6\ minutes}{1.5\ kilometers} =\frac{minutes}{kilometers}[/tex]

We don't know how long it takes him to walk 9 kilometers, so we can say it takes him x minutes to walk 9 kilometers.

[tex]\frac{6\ minutes}{1.5\ kilometers} =\frac{x\ minutes}{9\ kilometers}[/tex]

[tex]\frac{6}{1.5} =\frac{x}{9}[/tex]

Now, solve for x. To do this, isolate x on one side of the proportion. x is being divided by 9. The inverse of division is multiplication. Multiply both sides of the proportion by 9.

[tex]9*\frac{6}{1.5} =\frac{x}{9}*9[/tex]

[tex]9*\frac{6}{1.5} =x[/tex]

[tex]9*4=x[/tex]

[tex]36=x[/tex]

x= 36 minutes

It will take Billy 36 minutes to walk 9 kilometers.