A 13.5 m fire truck ladder is leaning against a wall.
Find the distance the ladder goes up the wall if it
makes an angle of 43.8° with the ground.

Answer:

r < -18

Step-by-step explanation:

-5r+2r is greater than 54 can be written symbolically as:

-5r+2r > 54

Combining the r terms, we get:

-3r > 54

Solving this result for r requires reversing the direction of the inequality sign:

r < -54/3, or r < -18

Answer:

r < -18

Step-by-step explanation:

[tex]-5r+2r > 54\\\\\rightarrow \text{Greater Than - } >\\\\\\\text{Combine the Like Terms}\\\\-5 + 2 = -3\\\\\text{So:}\\\\-5r+2r=-3r\\\\\\-3r>54\\\\\text{Divide by -3: }\\\\\frac{-3r>54}{-3}\\\\\boxed{r<-18}\\\\[/tex]

We switch the inequality sign if we multiply or divide both sides of the inequality by a negative number.

Hope this helps.

Answer:

7.7 yards & 14.04 gallons

Step-by-step explanation:

so theres 1.1 yards per meter which can be written out as

1.1 yds/1 meter

multiply that by 7 meters would get you 7.7 yards

same with the punch:

0.26 gallons/ 1 liter times 54 liters = 14.04 gallons

Answer:

7/6 cups

Step-by-step explanation:

Mug is 2/7 full

Amount of water in the mug = 1/3 cup

Assume the full capacity of the mug = m

Then the current capacity of water in mug = (2/7) of m = (2/7)m

Current capacity of water in mug is equivalent to 1/3 cup of water

Hence,

(2/7)m = 1/3

2m/7 = 1/3

Cross multiply

(2m * 3) = 7 * 1

6m = 7

m = 7/6

m = 1 1/6 cups

Answer:

4(x+8)=40

4x+ 32= 40

4x=40-32

4x=8

x=8/4

x=2/1

Answer:

0,2,4,8

Step-by-step explanation:

:)

To find the slope-intercept form

 --> we need to find the slope

 --> we need to find the y-intercept

         The point at which the x-coordinate equals zero

Let's find the slope

 --> let's pick any two pair of points

       (0, -3) & (6, 0)

           (x1, y1) ==> (0, -3)

           (x2, y2) ==> (6, 0)

 --> our slope formula is:

           [tex]\text{Slope}=\dfrac{0--3}{6-0}=\dfrac{3}{6}=\dfrac{1}{2}[/tex]

Let's find our y-intercept

 --> based on the definition, '-3' is our y-intercept

Let's plug in our slope & y-intercept in the slope-intercept form:

  [tex]y=\dfrac{1}{2}x-3[/tex]  <== Answer

Answer:

31.6

Step-by-step explanation:

Answer:

-5 3,

-5 6

Step-by-step explanation:

assignment on ed

Answer:

m=1 (slope)

Step-by-step explanation:

m= change in y / change in x

m= (y2 - y1) / (x2 - x1)

m= (2-(-1))/ (8-(5))

simplify

m= 3/3 = 1

Answer:

506

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

if it was 10 it would be 2, but it isnt. and it cant be a number with a decimal cause i would be surprised if a math problem has it where you cut people in half or portions

Step-by-step explanation:

Unit rate means divide so divide the oz by the cost. Which one is the better cost

Answer:

d= -16t^2 + 12

Step-by-step explanation:

2.1    Factoring    d + 16t2 - 12

Answer:

t=3/8+-(sqr)9-4d/8

Step-by-step explanation:

Answer:

1. A figure getting smaller

2. figure getting larger

Answer:

Right triangle

Step-by-step explanation:

Answer:

1. 16.86 or 16[tex]\frac{6}{7}[/tex] miles per gallon.

2. 2.46 tanks of gas

Step-by-step explanation:

1. 354 ÷ 21= 16.86

x 3

Step-by-step explanation:

When the equation of any line reads "y = a number",

its graph will always be a horizontal line, meaning zero slope.

So the equation y = -10 has a slope of 0 which

means its a flat or horizontal line.

Answer:

x - 5

Reason

8 - 5 = 3

3 - 5 = -2

-2 - 5 = -7

Answer:

45

Step-by-step explanation:

Answer:

100;105;110;115;120;125;130;135;140;145;150;155;160....

Step-by-step explanation:

Answer:

100, 105, 110, 115, 120, 125, 130 135 140 145 150 155 160 165 170 175 180 185 190 195 200

Step-by-step explanation:

Answer:

It can hold up to [tex]1.256ft^3[/tex] of waste

Step-by-step explanation:

Given

[tex]D = 1.5ft[/tex] -- Diameter

[tex]h = 1.6ft[/tex] -- height

Required

Determine the amount of waste it can hold

This simply means that we calculate the volume of the cylindrical container.

And this is calculated using:

[tex]Volume = \pi r^2h[/tex]

Where

[tex]\pi = 3.14[/tex]

and

[tex]r = \frac{D}{2}[/tex]

[tex]r = \frac{1.5}{2}[/tex]

[tex]r = 0.75[/tex]

So, we have:

[tex]Volume = 3.14 * 0.5^2 * 1.6[/tex]

[tex]Volume = 1.256ft^3[/tex]

Hence, it can hold up to [tex]1.256ft^3[/tex] of waste

The amount of waste a cylinder can hold nearest to the whole number is 3 cubic feet.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet.

The amount of waste a cylinder can hold will be given by the volume of the cylinder.

The volume of the cylinder will be

[tex]\rm Volume = \dfrac{\pi}{4} d^2 h[/tex]

We have

d = 1.5 ft

h = 1.6 ft

Then

[tex]\rm Volume = \dfrac{\pi}{4} * 1.5^2 * 1.6\\\\\rm Volume = \dfrac{\pi}{4} *2.25 * 1.6\\\\\rm Volume = 2.82 \approx 3 \ ft^3[/tex]

More about the cylinder link is given below.

https://brainly.com/question/3692256

Step-by-step explanation:

<1+<2=180

<2+<3=10

<1+<2=<2+<3=180

<2

<2

Answer:

Maybe 10 Is the answer

Answer:

the answer is 10

Step-by-step explanation:

Answer:5, 6, 7, 8, or 9.

Step-by-step explanation:

Answer:

Calculate the monthly and total repayment cost of your personal loan using the ... 1 year, 2 years, 3 years, 4 years, 5 years, 6 years, 7 years, 8 years, 9 years ... annual interest rates (APRs), you can see how your monthly loan repayments ... We compare loans that can be paid back over terms of between one and 25 years.

Answer:

9x+32

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Step-by-step explanation: