Ask question

Ask question

All categories

pishuonlain [190]

4 years ago

12

Thanh and her crew are building a stage in the shape of a trapezoid for an upcoming festival. The lengths of the parallel sides

of the trapezoid are 14 ft and 24 ft. The height of the trapezoid is 12 ft. What is the area of the stage?

1 answer:

Xelga [282]4 years ago

8 0

Answer: The answer would be 228. (:

You might be interested in

Guysss plsss HEELPPP ME ILL MARK BRAINLIEST PLLLSSSSSS HELP

Vitek1552 [10]

Answer:

$y=-2\,(x-6)^2+246$

with the video game cost of x = $6

This agrees with the last option in the list of possible answers

Step-by-step explanation:

Recall that the maximum of a parabola resides at its vertex. So let's find the x and y position of that vertex, by using first the fact that the x value of the vertex of a parabola of general form:

$y=ax^2+bx+c$

is given by:

$x_{vertex}=\frac{-b}{2\,a}$

In our case, the quadratic expression that generates the parabola is:

$y=-2x^2+24x+174$

then the x-position of its vertex is:

$x_{vertex}=\frac{-b}{2\,a}\\x_{vertex}=\frac{-24}{2\,(-2)}\\x_{vertex}=\frac{-24}{-4)}\\x_{vertex}=6$

This is the price of the video game that produces the maximum profit (x = $6). Now let's find the y-position of the vertex using the actual equation for this value of x:

$y=-2x^2+24x+174\\y_{vertex}=-2\,(6)^2+24\,(6)+174\\y_{vertex}=-72+144+174\\y_{vertex}=246$

This value is the highest weekly profit (y = $246).

Now, recall that we can write the equation of the parabola in what is called "vertex form" using the actual values of the vertex position $(x_{vertex},y_{vertex})$ :

$y-y_{vertex}=a\,(x-x_{vertex})^2\\y-246=-2\,(x-6)^2\\y=-2\,(x-6)^2+246$

Therefore the answer is:

$y=-2\,(x-6)^2+246$

with the video game cost of x = $6

6 0

3 years ago

A car travels at 55 mi/h and gets 11km/l of gasoline. How many gallons of gasoline are needed for a 3.0-h trip?

ella [17]

Answer:

6.377 gallons of gasoline are needed for the 3h trip.

Step-by-step explanation:

This problem can be solved by consecutive direct rule of three's.

A rule of three is called direct when the relationship between both measures is direct. It means that as the value one of measures increases, so will the alue of the other measure.

The first step is to know how much the car traveled.

The trip was 3-h long, and the car traveled at 55 mi and hour. So:

1 hour - 55mi

3 hour - x mi

x = 55*3

x = 165 miles

The car traveled 165 miles.

Then we need to know how many kilometers the car traveled.

Each mile has 1.61km, so:

1 mile - 1.61km

165 miles - x km

x = 165*1.61

x = 265.5 km

The car traveled 265.5 km

Now we need to know how many liters the car used

For each liter used, the car can travel 11 km, so:

1L - 11km

xL - 265.5 km

11x = 265.5

$x = \frac{265.5}{11}$

x = 24.14L

The car used 24.14L

The final step is converting from L to gallons.

Each liter has 0.264 gallons, so:

1L - 0.264 gallons

24.14L - x gallons

x = 0.264*24.14

x = 6.377 gallons

6.377 gallons of gasoline are needed for the 3h trip.

7 0

4 years ago

10. Translate the triangle 4 units right

kozerog [31]

Answer:

J(4,0)

K(4,-2)

L(0,-2)

Step-by-step explanation:

4 units right means x+4. now find the coordinates and add 4 to each coordinate's x.

3 units down means y-3. now find the coordinates and take 3 from each coordinate's y.

if it is unclear or you need more explanation, ask freely.

6 0

3 years ago

The probability that he lives with his parents given that he is still a teenager (18 or 19) is:

mote1985 [20]

Not Likely(BTW It’s a guess)

5 0

3 years ago

What is the area of the triangle shown below?

Yuliya22 [10]

Answer:

given,

base= 10

height= 8

now, area of triangle =

$\frac{1}{2} \times b \times h$

or, area =

$\frac{1}{2} \times 10 \times 8$

therefore the area of a triangle is 40 sq units.

<em>hope</em><em> </em><em>its</em><em> </em><em>helpful</em><em>.</em><em>.</em>

5 0

3 years ago

Read 2 more answers