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harkovskaia [24]
3 years ago
7

What Is The Length Of Side BD?

Mathematics
1 answer:
emmainna [20.7K]3 years ago
8 0
This is a rectangle, meaning that all angles are right angles and all sides opposite to one another have equal length.

Since the length of CD is 24, the length of AB must also be 24.
Angle B is a right angle because this is a rectangle.

See anything? I'll you a hint. We have a right triangle with only one missing value.

What do we use to solve for missing lengths in a right triangle? The Pythagorean theorem, of course!

a^2+b^2=c^2

The length of c (the hypotenuse) is 26.
The length of a (one leg) is 24.
The length of b is unknown and we want to find it.

24^2+b^2=26^2

576+b^2=676

Subtract 576 by both sides.

b^2=100

Take square root of both sides.

b=10

The length of the missing leg is 10, meaning that the length of BD is 10.

This is what you should be needing. Enjoy!
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F(x) = -4x2 + 5x<br> Find f (6)
mina [271]
You would plug in 6 where the x is so it would be -4 times 2 plus 5(6)
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3 years ago
For c = d(3.14), what is c when d = 100 show work
Katyanochek1 [597]

Answer:314

Step-by-step explanation: 3.14 x 100 = 314

Move the decimal two times to the right because there is two zeros

5 0
3 years ago
You have a bag of marbles. 4 are blue, 3 are red, 2 are green, 2 are yellow are 4 are purple. What is the probability that you p
valkas [14]

Answer:

2/35

Step-by-step explanation:

There are 15 marbles in total.

\frac{4\\}{15} ×\frac{3}{14}

The answer would be \frac{2}{35}.

6 0
3 years ago
Read 2 more answers
Question 1(Multiple Choice Worth 3 points)
frez [133]

Answer: D) 99 Points

Step-by-step explanation: Theresa earned scores of 88 points, 84 points, 88 points, and 91 points on four tests

Therefore the totals points are 351

351 is her total score for 4 tests, if she gets an average score of 90 on her fifth test then all we have to do is:

5 x 90 = 450 (The 5 being her fifth test)

450-351 = 99

Option D

3 0
3 years ago
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 144 millimeters,
valentinak56 [21]

Answer:

The probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample  means will be approximately normally distributed.

Then, the mean of the distribution of sample mean is given by,

\mu_{\bar x}=\mu

And the standard deviation of the distribution of sample mean  is given by,

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

The information provided is:

<em>μ</em> = 144 mm

<em>σ</em> = 7 mm

<em>n</em> = 50.

Since <em>n</em> = 50 > 30, the Central limit theorem can be applied to approximate the sampling distribution of sample mean.

\bar X\sim N(\mu_{\bar x}=144, \sigma_{\bar x}^{2}=0.98)

Compute the probability that the sample mean would differ from the population mean by more than 2.6 mm as follows:

P(\bar X-\mu_{\bar x}>2.6)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}} >\frac{2.6}{\sqrt{0.98}})

                           =P(Z>2.63)\\=1-P(Z

*Use a <em>z</em>-table for the probability.

Thus, the probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.

8 0
3 years ago
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