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3 years ago

Find the area of this trapezoid. Be sure to include the correct unit in your answer.

Mathematics

2 answers:

dolphi86 [110]3 years ago

7 0

9 yd because a trapezoid

fenix001 [56]3 years ago

6 0

answer:

8417yd

Step-by-step explanation:

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Using the data from the theoretical probability table, what is the probability of the spinner landing only once on yellow in two

Scrat [10]

The probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.

<h3>What is probability?</h3>

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As, the probability of an event can not be more than the number 1.

Thus, the probability of failure of a event is equal to the difference of the 1 to the success of the event. As,

The data in the theoretical probability table for the fair spinner having 4 different color is listed below.

Yellow Frequency

0 9

1 6

2 1

For the 4 different color (red, green, blue, yellow) and rotating the spinner two times, there is total 16 outcomes as,

{RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY}

Total number of Y appear probability at one time in the table is 6. Thus the probability of the fair spinner landing only once on yellow in two spins is,

$P=\dfrac{6}{16}\\P=0.375$

Hence, the probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.

Learn more about the probability here;

brainly.com/question/24756209

3 0

2 years ago

Which of the following integrals will find the volume of the solid that is formed when the region bounded by the graphs of y=e^x

dimulka [17.4K]

The fourth option is correct.

See the attached image. The red cylinder represents a washer formed by the described revolution. Its volume is

$\pi((\text{outer radius})^2-(\text{inner radius})^2)(\text{height})$

so when we integrate, we take

$\displaystyle\pi\int_0^1((e^x+2)^2-3^2)\,\mathrm dx$

7 0

3 years ago

What is the length of CD ? In this diagram ABC EDC ?<br> Please help !!!!

n200080 [17]

Answer:
CD = x = 4 units

Explanation:
We are given that the two triangles are similar. This means that we can set the similarity proportionality as follows:
$\frac{BC}{CD} = \frac{CA}{CE} = \frac{AB}{ED}$

W e have:
BC = 20 - x
AC = 20
CD = x
CE = 5

Substitute in the above proportionality and solve for x as follows:
$\frac{20-x}{x} = \frac{20}{5} = 4$

4x = 20 - x
5x = 20
x = 4

Based on he above:
CD = 4 units
BC = 20 - x = 20 - 4 = 16 units

Hope this helps :)

5 0

3 years ago

Read 2 more answers

A birthday celebration meal is $ 46.80

kolezko [41]

10% of 46.80 =4.68
46.80 + 4.68 = 51.48

Hope this helps :D

3 0

2 years ago

What is the factored form of 5x2 − 18x − 8? (5x + 4)(x + 2) (5x + 2)(x − 4) (5x + 1)(x + 8) (5x + 1)(x − 8)

olya-2409 [2.1K]

Hello! So, this question is in the form of ax² - bx - c. First thingd first, let's multiply a and c together. c = -8 and a = 5. -8 * 5 is -40. Now, let's find two factors that have a product of 40, but a sum of 18. If you list the factors, you see that 2 and 20 have a product of 40, but 2 - 20 is -18. The factors we will use are -2 and 20.

How to factor it:

For this question, you can use something called a box method and factor it by finding a factor of each column and row. Just make 4 boxes and put 5x² on the top left and -40 on the bottom left box. Put 2x on the top right box and -20x on the bottom left box. Now, factor out for each row and column. The factors should be 5x + 2 for the top part and x - 4 for the side. It should look like (5x + 2)(x - 4). Let's check it. Solve it by using the FOIL method and you get 5x² - 20x + 2x - 8. Combine like terms and you get 5x² - 18x - 8. There. The answer is B: (5x + 2)(x - 4)

Note: The box method may be challenging at first, but it can be really helpful on problems like these.

6 0

3 years ago

Read 2 more answers