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3 years ago

Find the height of a trapezoid if b1= 2x + 1 and b2 = x+4 and the area = 3x2 + 5x Show all your work for full credit.

1 answer:

5 0

A = 1/2 h (b1+b2)
so
h = 2A / (b1+b2)
h = [2(3x^2 + 5x)] / (2x + 1 + x + 4)
h = (6x^2 + 10x)/(3x +5)
h = 2x(3x + 5)/(3x +5)
h = 2x

answer: height of a trapezoid = 2x

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Can anyone help me with the last question plzzz!!!

valina [46]

For a. the answer is 80 people
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8 0

3 years ago

What is the next number in the sequence? 1, 4, 13, 40, 121,...

Nataliya [291]

The pattern here is the number times 3 then plus 1

We can check this by plugging it in.

1×3=3
3+1=4
4 is the next number in our sequence so the pattern works.

We can continue to check this with the rest of our sequence.

4×3=12
12+1=13
13 is the next number in our sequence so the pattern works.

13×3=39
39+1=40
40 is the next number in our sequence so the pattern works.

40×3=120
120+1=121
121 is the next number in our sequence so the pattern works.

We can find the next numbed in the sequence by continuing the patter
121×3=363
363+1=364

So the next number in the sequence is 364

8 0

3 years ago

Listed below are prices in dollars for one night at different hotels in a certain region. Find the range, variance, and standar

Vanyuwa [196]

Answer:

Range = $115

Variance = $1915.2857

Standard deviation = $43.764

Step-by-step explanation:

Given the data:

234 160 119 131 218 207 146 141

Arranging in ascending order :

119, 131, 141, 146, 160, 207, 218, 234

The range = maximum - minimum

The range = 234 - 119 = 115

The variance :

Σ(x - mean)²/n-1

The mean = Σx / n

The mean = 1356 / 8 = 169.5

Variance :

Σ(x - mean)² = (119-169.5)² + (131-169.5)² + (141-169.5)² + (146-169.5)² + (160-169.5)² + (207-169.5)² + (218-169.5)² + (234-169.5)² = 13407

n - 1 = 8 - 1 = 7

Variance = 13407 / 7 = 1915.2857

Standard deviation = √variance

Standard deviation = √1915.2857

Standard deviation = $43.764

8 0

2 years ago

6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface

Pachacha [2.7K]

Answer:

6) About 19,244.75 square centimeters.

7) About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

$\displaystyle \text{SA}=2\pi r^2+ 2\pi rh$

Where r is the radius and h is the height.

Therefore, the surface area of a single cylinder will be:

$\displasytyle \text{SA}=2(3.142)(1.75)^2+2(3.142)(1.75)(7) = 96.22375\text{ cm}^2$

Then the total surface area for 200 cylinders will be:

$\displaystyle \text{SA}_{\text{total}}=200(96.22375)=19244.75\text{ cm}^2$

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

$\displaystyle V=\pi r^2h$

Since r = 1.2 and h = 6.4:

$\displaystyle V=(3.142)(1.2)^2(6.4)=28.956672\text{ m}^3$

Each container has a base radius of 8.2 cm and a height of 28 cm.

So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

$\displaystyle V=(3.142)(0.082)^2(0.28)=0.005915506\text{ m}^3$

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

$\displaystyle C=\frac{28.956672}{0.005915506}=4895.045466\approx 4895$

Thus, approximately 4895 containers can be filled.

5 0

2 years ago

Read 2 more answers

The height (h) of a fireball launched from a Roman candle with an initial velocity of 64 feet per second is given by the equatio

Zigmanuir [339]

Answer: C or 2 seconds.

Step-by-step explanation:

To find the vertex in a standard form equation: (-b/2a,f(-b/2a))

plug it in: -64/2*-32 = 2

3 0

3 years ago