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katen-ka-za [31]
3 years ago
13

Billboard on the highway has a perimeter of 118 feet find the length of the billboard at the height is 19 feet

Mathematics
1 answer:
salantis [7]3 years ago
5 0

Answer:

the length is 40 ft

Step-by-step explanation:

perimeter is length+length+height+height.

If the height is 19 ft then the first equation would be 118-(19+19)=80

Then you would do 80/2= 40

The length is 40 ft.

You might be interested in
The ratio of cars to trucks is 9:4. The ratio of trucks to SUV's is 12:21. There are 54 cars.
Elenna [48]

Answer:

Number of trucks = 24

Number of SUVs = 24

Step-by-step explanation:

A)

The ratio of cars to trucks is 9:4

The total ratio of cars to trucks is

9+4 = 13

Let x = sum of cars and trucks.

There are 54 cars. Therefore,

x = 54 + t trucks

Number of cars = ratio of cars/ total ratio × sum of cars and trucks. This means,

54 = 9/13 × x

9x / 13 = 54

9x = 13 × 54

9x = 702

x = 702 / 9 = 78

x = 54 + t trucks = number of trucks = 78 = 54 + t trucks

t trucks = 78 - 54 = 24

Number of trucks = 24

B)

The ratio of trucks to SUVs is 12:21

The total ratio of cars to trucks is

12 + 21 = 33

Let y = sum of trucks and SUVs

There are 24 trucks. Therefore,

x = 24 + s SUVs

Number of trucks = ratio of trucks / total ratio × sum of trucks and SUVs. This means,

24 = 12 / 33 × y

12y / 33 = 24

12y = 24 × 33

12y = 792

y = 792 / 12 = 66

y = 24 + s SUVs

66 = 24 + s SUVs

s SUVs = 66 - 24 = 42

Number of SUVs = 24

7 0
3 years ago
The volume of a landfill doubles every three years. Write an exponential function to represent this.
stellarik [79]
The equation would be: V = A2^(Y/3)

The basic form of an exponential equation is y = ab^x.

The a is the starting amount. In this problem, we don't know that, so we just leave it as a.

The b is the rate. In this case, we are doubling the volume so we times it by 2.

The x is the amount of years. Since it is every 3 years, we can divide the x by 3.
7 0
3 years ago
What is the quotient of 30 and 3? A 33 B 27 C 90 D 10
Komok [63]
I am just guessing but you might try A
7 0
3 years ago
Find the slope of the line that passes through (87, 91) and (88, -4).
Elanso [62]
<h2>Answer:    slope = - 95</h2><h2> </h2>

Step-by-step explanation:    

      The question gives us two points, (87, 91) and (88, -4), from which we can find the slope and later the equation of the line.

<u> </u>

<u>Finding the Slope</u>  

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                        =  (91 - (- 4)) ÷ (87 - 88)    

                                        =  - 95

<em><u /></em>

<em><u /></em>

<em><u>Checking my answer:</u></em>

<em>Finding the Equation</em>  

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                                ⇒  y - (-4) =  - 95 (x - 88)

                                       y + 4 =  - 95 (x - 88)

<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>

5 0
2 years ago
A region R in the xy-plane is given. Find equations for a transformation T that maps a rectangular region S in the uv-plane onto
muminat

Answer:

x = u\cos(v) , y = u \sin(v)

Step-by-step explanation:

For that transformation you just have to use polar coordinates, notice that when you use polar coordinates the radius is constant when the angles varies and the angle is constant when the radius varies. Therefore your transformation would be just

x = u\cos(v) , y = u \sin(v).

7 0
3 years ago
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