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german
3 years ago
5

The two trapezoids shown below are similar . What is the length of x?

Mathematics
2 answers:
dangina [55]3 years ago
7 0
The length of x is 3. Since the two trapezoids are similar. In the second trapezoid the top is half of 10. so it would be logical for x to be 3
serious [3.7K]3 years ago
6 0
The length of x is 3
mark me brainliest if the answer is correct, thank you in advance :)
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Let u =<-4,-3> . Find the unit vector in the direction of u, and write your answer in component form.​
vova2212 [387]
Can someone answer this for me too
4 0
3 years ago
---- PLEASE HELP <3 .. with steps :( <3
Zielflug [23.3K]

1) 6, 18, 54

2) 5/3, 14/9, 41/27

3) 1.5, 2.5, 2.5

Step-by-step explanation:

1)

The function that we have in this problem is

g(x)=3x

We want to find the first 3 iterations.

The initial value is:

x = 2

To find the value of the 1st iteration, we just substitute this value into the expression of the function, and we get:

g_1(x)=3x=3\cdot 2 = 6

The to find the value of the 2nd iteration, we just substitute this value into the expression of the function, and we get:

g_2(x)=3\cdot g_1(x)=3\cdot 6 = 18

Finally, the 3rd iteraction is given by:

g_3(x)=3g_2(x)=3\cdot 18=54

2)

Here in this problem the function that we have to use is

g(x)=\frac{1}{3}x+1

The initial value is

x=2

So the first iteration is given by

g_1(x)=\frac{1}{3}\cdot 2 + 1 = \frac{5}{3}

To find the 2nd iteration, we substitute this value into g(x) again:

g_2(x)=\frac{1}{3}g_1+1=\frac{1}{3}\cdot \frac{5}{3}+1=\frac{5}{9}+1=\frac{14}{9}

Finally, to find the 3rd iteration, we substitute this value into g(x) again:

g_3(x)=\frac{1}{3}\cdot \frac{14}{9}+1=\frac{14}{27}+1=\frac{41}{27}

3)

The function in this problem is

g(x)=-|x-2|+3

The initial value is

x = 0.5

So, the first iteration is:

g_1(x)=-1|0.5-2|+3=-1|-1.5|+3=-1\cdot 1.5 +3=-1.5+3=1.5

The second iteration is given by

g_2(x)=-|g_1-2|+3=-|1.5-2|+3=--0.5+3=2.5

Finally, the 3rd iteration is

g_3(x)=-|g_2-2|+3=-|2.5-2|+3=-0.5+3=2.5

5 0
3 years ago
The labor force participation rate is the number of people in the labor force divided by the number of people in the country who
zepelin [54]

Answer:

The expected participation rate is 0.637.

The standard error is 0.04397

Step-by-step explanation:

For each working age people asked, there are only two possible outcomes. Either they are in the labor force, or they are not. This means that we can solve this problem using binomial distribution probability concepts.

Binomial probability:

Expected value for the participation rate: The expected value is the probability of a success. In this problem, a success is a working age people being in the labor force. 63.7% of them are. So \pi = 0.637. This means that the expected participation rate is 0.637.

Standard error for the participation rate:

The standard error is given by the following formula:

\sigma = \sqrt{\frac{\pi(1-\pi)}{n}}.

In this problem, 120 people are asked, so \pi = 120

s = \sqrt{n\pi(1-\pi)} = \sqrt{\frac{0.637*(1-0.637)}{120}} = 0.04397.

So the standard error is 0.04397

8 0
3 years ago
Read 2 more answers
How do I solve 2q+10=7q
Lostsunrise [7]
10 is the stubstitution for 5 q, since 2 plus 5 equals 7. What is 10 divided by 5?
4 0
3 years ago
The longest side in a right triangle is 24 cm, and the second longest side is 20 cm. Find the length of the shortest side
harkovskaia [24]

Answer:

13.3 cm

Step-by-step explanation:

Apply the Pythagorean Theorem:

hyp² = (2nd longest side)² + (shortest side)².  Here the numbers are:

(24 cm)² = (20 cm)² + (shortest side)², or

576 - 400 = 176 = hyp²

Taking the square root of both sides, we get (shortest side) = 13.3 cm

5 0
3 years ago
Read 2 more answers
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