If √5 is ≈ 2.236, find DE to nearest tenth. (AD=4, DB=5, ΔACB is right with CD perpendicular to hypotenuse AB, AE bisects angle CAD)

Answers

Answer 1

Answer:
Use mathway .com it shows to how to do your work and also gives you the answer

Related Questions

A root of x2 – 5x – 1 = 0 is
Find the distance between the points (5, 7) and (1, 10).
SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST!!!Subtract 3a^2 + 5ab - 4b^2 from 8a^2 - 6ab + 4b^2. The answer should be a polynomial in standard form.
Caculate the average rate of movement of the volcanic ash for the first 15 hours
The function for the cost of materials to make a shirt is f(x) = five sixths x + 5, where x is the number of shirts. The function for the selling price of those shirts is g(f(x)), where g(x) = 5x + 6. Find the selling price of 18 shirts. (A. 106; B. 120; C. 185; D. 196)

Which of the following sequences of numbers are arithmetic sequences?

Answers

Answer:

C), D) and E)

Step-by-step explanation:

First let's see what an arithmetic sequence is.

A arithmetic sequence is series of numbers where the difference between the successive terms must be a constant.

For example,

2, 4, 6, 8, 10.....

If you find the difference between the successive terms, it will be the same constant.

4 -2 = 2

6 -4 = 2

8 -6 = 2

This is called arithmetic sequence.

A and B are not the arithmetic sequence. The different is not the same constant.

C) 345, 346, 347, 348, 349....

Difference = 1 between the two successive terms.

So it is an arithmetic sequence.

D) 54, 71, 88, 105, 122...

Difference = 71 - 54 = 17

88 - 71 = 17

So it is an arithmetic sequence.

E) -3, -10, -17, -24, -31...

Difference = -10 -(-3) = -10 + 3 = -7

Difference of -10 and -17 is -17 -(-10) = -17 +10 = -7

So it is an arithmetic sequence.

Answer: C), D) and E)

Hello,

A:no
B:no
C,D,E :yes

All you have to do : is the difference of next term and the term must be constant.

Does anyone know how to finish it or did I do it right?? I’m confused if I have to cancel out the 6x and leave the 3 over x or leave it as it is.

Answers

Answer:

$\frac{2x - 1}{2 {x}^(2) }$

Step-by-step explanation:

From your last step, divide by 3 throughout.

You cannot divide by 6x throughout because 3 cannot be divided by 6x.

Another way to do it is:

$\frac{6x - 3}{6 {x}^(2) } \n = \frac{6x}{6 {x}^(2) } - \frac{3}{6 {x}^(2) } \n = (1)/(x) - \frac{1}{2 {x}^(2) }$

However, if the question requires you to leave your answer in a single fraction in its simplest form, only the first answer is accepted.

A small auditorium has 10 rows of seats. There are 12 seats in the row and 16 seats in the second row the number of seats in a row continues to increase by 4 with each additional row. What is the total number of seats in the auditorium?

Answers

This problem can be solved through simple arithmetic progression

Let

a1 = the first term of the sequence

a(n) = the nth term of the sequence

n = number of terms

d = common difference

Sn = sum of all terms

given

a1 = 12

a2 = 16

n = 10

d = 16 -12 = 4

@n = 10

a(n) = a1 + (n-1)d

a(10) = 12 + (9)4

a(10) = 48 seats

Sn = (n/2) * (a1 + a(10))

Sn = 5* (12 + 48)

Sn = 300 seats

Therefore the total number of seats is 300.

Four less than the product of twice a number and eight

Answers

8+2*a-4 is the right equation
hope that helped :)

So it would be 2 times 8 which equals 16. Then subtract 4 from 16 and get the answer 12.
Hope this helps!

The body temperatures of adults are normally distributed with a mean of 98.6° F and a standard deviation of 0.60° F. If 25 adults are randomly selected, find the probability that their mean body temperature is less than 99° F?

Answers

Answer: 0.9996

Step-by-step explanation:

Given : The body temperatures of adults are normally distributed with a mean of 98.6° F and a standard deviation of 0.60° F.

Sample size : n=25

Let x be the random variable that represents the body temperatures of adults.

z-score : $z=(x-\mu)/((\sigma)/(√(n)))$

For x= 99° F

$z=(99-98.6)/((0.60)/(√(25)))\approx3.33$

Now, the probability that their mean body temperature is less than 99° F will be :-

$P(X<99)=P(z<3.33)=0.9995658\approx0.9996$

Hence, the probability that their mean body temperature is less than 99° F = 0.9996

Final answer:

To find the probability that the mean body temperature of 25 randomly selected adults is less than 99°F, we can use the Central Limit Theorem and calculate the Z-score. The mean body temperature of adults is 98.6°F with a standard deviation of 0.60°F. The sample size is 25.

Explanation:

To find the probability that the mean body temperature of 25 randomly selected adults is less than 99°F, we can use the Central Limit Theorem. According to the Central Limit Theorem, the sampling distribution of the sample mean follows a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

In this case, the mean body temperature of adults is 98.6°F with a standard deviation of 0.60°F. The sample size is 25. So, the mean of the sampling distribution would still be 98.6°F, but the standard deviation would be 0.60°F divided by the square root of 25, which is 0.12°F.

Now, we can use the Z-score formula to find the probability that the mean body temperature is less than 99°F. The Z-score is calculated by subtracting the population mean from the desired value (99) and dividing it by the standard deviation of the sampling distribution (0.12). We can then use a Z-table or calculator to find the probability associated with the Z-score.

Learn more about Probability here:

brainly.com/question/32117953

#SPJ3

Megan has 25 phone numbers stored in her cell phone. Abby has some phone numbers stored in her cell phone. Together they have a total of 61 phone numbers stored. If n = the number of phone numbers Abby has stored in her cell phone, write a mathematical sentence to express the information above.

Answers

The mathematical sentence should be: 25+n=61

25+N=61.
N= 36
So there is 36 numbers in Abby's cell phone.

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