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4 years ago

What Is The Length Of Side BD?

Mathematics

1 answer:

emmainna [20.7K]4 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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PLEASE HELP ME ASAP!!!!

antoniya [11.8K]

Answer:

Step-by-step explanation:

sorry if not helpful

6 0

3 years ago

You put $500 in a savings account. The account earns $15.75 simple interest in 6 months. What is the annual interest rate?

Anettt [7]

Answer:

6.3%

Step-by-step explanation:

We're gonna use the simple interest formula: A = P(1 + rt)

A = Final amount (500 + 15.75 = 515.75)

P = Starting amount (500)

r = rate (?)

t = number of years (.5 since it's been half a year)

515.75 = 500(1 + 0.5r)

Disitribute the 500 to the equation inside the parenthesis

515.75 = 500 + 250r

Subtract 500 from both sides

515.75 = 500 + 250r

- 500 - 500

15.75 = 250r

Divide both sides by 250

15.75/250 = 250r/250

r = 0.063

8 0

3 years ago

A researcher reports the following confidence interval for a comparison of the difference between two groups: 95% CI −12.0 [−30.

Lapatulllka [165]

Answer:

Decision: Support the null hypothesis.

Sample mean: -12

Step-by-step explanation:

Hello!

When deciding with a Confidence interval you have to keep in mind that the following conditions are met:

The hypothesis and the interval are made for the same parameter.
The hypothesis should be two-tailed.
The interval and the test have to have complementary confidence and signification levels. This means that if the interval is made with 1 - α= 0.95 the hypothesis test should be made with α= 0.05.

H₀: μ₁ - μ₂= 0

H₁: μ₁ - μ₂≠ 0

α: 0.05

If the interval contains the cero, it means that there is no difference between the means, so you support the null hypothesis.

If the interval doesn't contain the cero, there is a difference between the two means, so you reject the null hypothesis.

The intervals to estimate the population mean have the following structure:

Estimator ± Margin of error

This means that the sample mean (point estimate of the population mean) is in the middle of the calculated interval. To know it's the value you have to do a simple calculation:

sample mean: $\frac{Upper bound + Lower bound}{2}$