A 37-ft ladder leans against a building so that the angle between the ground and the ladder is 73°. How high does the ladder reach up the side of the building?

Answer:

x = whole-valued numbers without fractions or decimal.

Step-by-step explanation:

An integer in mathematics refers to a whole number that can either be a positive or negative number but without any fractional part. Integers are numbers such as -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 etc.

Hence, when we say "x" is an integer, it simply means that the value of x should be a whole number that can either be a positive or negative number but without any fractional or decimal value or part.

In Mathematics, when solving for an unspecified or unknown integer we can use a lowercase alphabet "x" to denote the integer.

For instance;

2x + 5 = 11

2x = 11 - 5

2x = 6

Dividing both sides by 2, we have;

x = 3.

Answer:

29x-4

Step-by-step explanation:

Answer:

9 is a coefficient

Step-by-step explanation:

9x-11.9

A coefficient is the number in front of the variable

9 is a coefficient and -11.9 is a constant

Answer:

2,698 mi

Step-by-step explanation:

3.8 hr × 1/2 = 1.9 hr

680 mi/hr × 1.9 hr = 1,292 mi

740 mi/hr × 1.9 hr = 1,406 mi

1,292 mi + 1,406 mi = 2,698 mi

Answer:

-f(x)=23+3x

-The cost of buying 10 CDs will be $38.

Step-by-step explanation:

From the information given, the cost function for purchasing 5 or more CDs has to indicate that you would pay 23 plus the result of multiplying 3 for the number of CDs over 5:

f(x)=23+3x, where:

x represents the number of CDs over 5

Using this function you can determine the cost of buying 10 CDs:

x would be equal to 5 that is the number of CDs over 5 when you buy 10 CDs:

10-5= 5

Now, you can replace the value of x:

f(x)=23+(3*5)

f(x)=23+15=38

According to this, the cost of buying 10 CDs will be $38.

Answer:

The absolute values of Q and R are the same

Step-by-step explanation:

Hope this helps! I had the same question lol

The absolute values of Q and R are the same option (B) is correct after applying the arithmetic operation.

The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.

It is given that:

A number line is shown in the picture.

From the number line:

= 4/2=2

The absolute values of Q and R are the same.

Thus, the absolute values of Q and R are the same option (B) is correct after applying the arithmetic operation.

Use the number line to determine which of the following statements is true. Each tick is 1 unit.

The quotient of P and S is positive.

The product of R and S is negative.

The absolute values of Q and R are the same.

Q and S are opposite numbers.

Learn more about the arithmetic operations here,

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Answer:

$6.06

Step-by-step explanation:

Edward: 36.00*0.87=31.32

Chad 36.00*0.71=25.25

31.32-25.25=6.06

$6.06

Hope this helps :-)

Answer:

C. 8 units to the right and 5 units down

Step-by-step explanation:

Because if we move the trapezoidal to the right 8 times, then 5 units down. It becomes the image need it needs to be.

I hope this helps! I'm sorry if it's wrong.

Answer:

x=18

Step-by-step explanation:

10x-4+x-14=180

11x-18=180

11x=180+18

11x=198

x=[tex]\frac{198}{11}[/tex]

x=18

Answer:

x = 18

Step-by-step explanation:

(10x -4) + (x-14) = 180 (for linear pair)

<=> 10x + x - 4 - 14 = 180

<=> 11x - 18 = 180

<=> 11x = 180+18 = 18 . 10 + 18 = 18 . 11

<=> x = 18

Answer:

[tex]x=-4<x<2[/tex]

Step-by-step explanation:

[tex]-1<x+3<5[/tex]

This inequality consists of 3 parts.

To solve this inequality, you will have to add -3 in each part of the inequality.

[tex]1+-3<x+3+-3<5+-3[/tex]

The answer to this is:

[tex]-4<x<2[/tex]

So that means x is equal to

[tex]x=-4<x<2[/tex]

Hope this helps!

Answer:

10, 12, 14, 15, 16,18,20

Step-by-step explanation:

A composite number is a positive integer. which is not prime (i.e., which has factors other than 1 and itself)

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The composite numbers greater than 10 but less than 20 will be 10, 12, 14, 15, and 16,18,20.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that, composite numbers must be greater than 10 but less than 20

An integer that is positive and not prime is a composite number. The first few composite numbers are 4, 6, 8, 9, 10, 12, 14, and 15 commonly abbreviated as "composites"

In all areas of mathematics, including shape, measurement, quantifying quantities of objects, and computation, composite numbers are applied.

To put it simply, odd composite numbers are all odd numbers that are not prime numbers. For illustration, use 9, 15, 21, etc.

Thus, the composite numbers greater than 10 but less than 20 will be 10, 12, 14, 15, and 16,18,20.

Learn more about the number here:

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Answer:

8

Step-by-step explanation:

Gradient = Slope

In y = mx + b

m is the gradient of the straight line

[tex]gradient = 8[/tex]

Answer:

Jan has 28 dimes.

Step-by-step explanation:

It would take 24 quarters or 60 dimes or 120 nickels to make $6.

So, I simply divided 24 by 3, which is 8 (but I did 7).

7 quarters is 1.75, and 28 dimes make 2.80, and 29 nickels make 1.45

1.75 + 2.80 + 1.45 = $6

Answer:

Sally would need two kinematic equations and know the values of gravitational acceleration to obtained the time taken by the arrow to reach maximum height.

Step-by-step explanation:

Sally shot her bow and gravity influences entirely on the motion of the bow, since distances are to small with respect to the radius of the Earth, gravitational acceleration can be considered constant. When arrow reaches maximum arrow, final velocity is zero. In consequence, the position of the arrow can be expressed in terms of the following kinematic equations:

[tex]y - y_{o} = v_{o}\cdot t +\frac{1}{2} \cdot g\cdot t^{2}[/tex]

[tex]0 = v_{o}+g\cdot t[/tex]

Where:

[tex]y_{o}[/tex], [tex]y[/tex] - Initial and final height of the arrow, measured in feet.

[tex]v_{o}[/tex] - Initial velocity, measured in feet per second.

[tex]g[/tex] - Gravitational acceleration, measured in feet per square second.

[tex]t[/tex] - Time, measured in seconds.

In consequence, Sally would need two kinematic equations and know the values of gravitational acceleration to obtained the time taken by the arrow to reach maximum height.

Step-by-step explanation:

divide 32 by 1.83 to get the answer

the answer is 17.4863387978

round it off

the final answer should be:

17.5 cents

The price per ounce is approximately 5.72 cents per ounce.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

A 32-ounce soft drink costs $1.83.

So,

32 ounce ⇒  $1.83

Divide by 32 into both sides

1 ounce ⇒ 1.83/32

1 ounce ⇒ $0.0571875 = 5.72 cents.

Hence"The price per ounce is approximately 5.72 cents per ounce".

For more information about ratio and proportion,

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Answer:

U 0,-2    S -2,-1   T -3 -5  will be the new points

Step-by-step explanation:

Answer:

Add a positive integer by moving to the right on the number line.

Subtract an integer by adding its opposite.

Step-by-step explanation:

Step-by-step explanation:

1, Add a positive integer by moving to the right on the number line.

2, Add a negative integer by moving to the left on the number line.

3, Subtract an integer by adding its opposite.

All we need to do is substitute and solve:

f(-5) = 5(-5) + 40

f(-5) = -25 + 40

f(-5) = 15

Best of Luck!

Answer:

270 + 63 = 333

Step-by-step explanation:

If you did it in your head, it would look like this:

9(30) + 9(7)

270 + 63 = 333

Answer:

x = 1

Step-by-step explanation:

1. Add 3x to both sides of the problem

2. Add 7 to both sides

3. Divide both sides by 7

To make sure our answer is correct we can plug in 1 to x in the problem

Answer:           x= 7

Step-by-step explanation:

4x-7= -3x      First add -3x on both sides

+3x      +3x

7x  -7 = 0

     +7     +7               add 7 to both sides

7x      = 7  

x = 1               divide both sides by 7

Answer: C

Step-by-step explanation:

this is only the answer if the x is squared

plug 5 in for x

(5)^2-3(5)

25-15= 10

Answer:

Equation 2 is correct

Step-by-step explanation:

Equation 1 is 2, not 1.5

Answer: C and D

Step-by-step explanation:

The value of c in the first one is less then the value of the second one. Also equation 1 equals -11 and equation 2 equals 1 so that’s why it’s c and d.

Answer:

The answer is y = 15 (I'm pretty sure)

Step-by-step explanation:

Simplifying

5y = 75

Move all terms containing y to the left, all other terms to the right.

Divide each side by '5'.

y = 15

Simplify

y = 15

Answer:

y≥15

Step-by-step explanation:

5 times 15 = 75 so, y= y≥15

Answer:

no. |-6| is +

Step-by-step explanation:

whenever a number has the symbol in the box, it makes it positive no matter what. -|6| = -6 while |-6| = +6

Answer:

|-6| has more value than -|6|

Step-by-step explanation:

|-6| = -|6| are not equal

|-6| = 6 absolute value of a number is positive no matter what is the sign

-|6| = -6 because the minus is out the absolute sign

Answer:

8 hats

Step-by-step explanation:

1. .50 x 24.98

2. 12.49 x 8

3. solve 12.49 x 8

4. Equals 99.92

Hope this helps you an stay safe:)

Answer:

EF = [tex]\sqrt{34}[/tex] ≈ 5.83

Step-by-step explanation:

Calculate EF using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = E(1, 3) and (x₂, y₂ ) = F(- 2, 8)

EF = [tex]\sqrt{(-2-1)^2+(8-3)^2}[/tex]

    = [tex]\sqrt{(-3)^2+5^2}[/tex]

    = [tex]\sqrt{9+25}[/tex]

    = [tex]\sqrt{34}[/tex] ≈ 5.83 ( to 2 dec. places )

Answer:

The positive and negative square roots of 36 are 6 and −6 .

root of -36=-6

root of 36=6

plZz mark brainliest

Answer:

0 2.4608

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

hope this helps

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