Given right triangle ABC with altitude BD drawn to hypotenuse ACAC. If AD=4AD=4 and DC=9 ,DC=9, what is the length of BD?
(Note: the figure is not drawn to scale.) Please help ASAP will award 100 points

Answer:

the first part is $2700

the second part is $8100

the third part is $16200

Step-by-step explanation:

Call the first part a (a>= 0)

=> the second part 3a

=> the third part 2.3a = 6a

Because the total of three parts is 27000 so we have:

a + 3a + 10a = 27000

<=> 10a = 27000

<=> a = 2700 (satisfied)

so

the first part is: a = $2700

the second part is: 3a = 3 . 2700 = $8100

the third part is: 6a = 6 . 2700 = $16200

p/s: actually there are some word I don't know how to express them in English. So please notice to correct them

Answer:

(-1;4).

Step-by-step explanation:

[tex]\left \{ {{4x+3y=8} \atop {4x-3y=-16}} \right. \ + \ = > \ \left \{ {{8x=-8} \atop {4x+3y=8}} \right. \ = > \ \left \{ {{x=-1} \atop {4x+3y=8}} \right. \ = > \ \left \{ {{y=4} \atop {x=-1}} \right.[/tex]

Answer:

The equivalent expression is  

✔ 3y + 2

.

The value of both expressions when y = 5 is  

✔ 17

.

The expressions are  

✔ equivalent

.

Step-by-step explanation:

Answer:

The equivalent expression is  

✔ 3y + 2

.

The value of both expressions when y = 5 is  

✔ 17

.

The expressions are  

✔ equivalent

.

Step-by-step explanation:

Answer:

7/49 = 1/7

Step-by-step explanation:

sueuhsjadsi

Answer:

49.3

Step-by-step explanation:

3.40 x 2.90 x 5.00 = 49.3 :)))

Answer:

22.4

Step-by-step explanation:

Answer:

$22.40

Step-by-step explanation:

To find the amount of sales tax you have to multiply the price by the decimal form of the percent of sales tax.

In this situation, you would multiply 320 by .07.

(320)(.07) = 22.40

Therefore, the amount of sales tax is $22.40.

I hope this helps!!

- Kay :)

Answer:

D

Step-by-step explanation:

D

Answer: D

Step-by-step explanation: i just took the test

The two real numbers with a sum of 2 and a product of −24 is -4 and 6.

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.

Let x represent one number and y represent the other number. The sum of the two real numbers is two. Hence:

x + y = 2  

y = 2 - x    (1)

The product is -24, hence:

xy = -24

x(2 - x) = -24

2x - x² = - 24

x² - 2x - 24 = 0

x² - 6x + 4x - 24 = 0

x(x - 6) + 4(x - 6) = 0

(x + 4)(x - 6) = 0

x = -4 and x = 6

The two real numbers with a sum of 2 and a product of −24 is -4 and 6.

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Answer:

Help: If 30 miles takes up 1 gallon what’s 30x15?

Step-by-step explanation:

Answer:

7868

Step-by-step explanation:

⇒ This can be written algebraically (with a variable x) as:

562 ÷ x = 14

⇒ Convert the division as a fraction:

[tex]\frac{562}{x}[/tex] = 14

⇒ Multiply both sides by 562 to get rid of the fraction and to isolate the variable x:

562 · [tex]\frac{562}{x}[/tex] = 14 · 562

⇒ Simplify:

x = 7868

Answer: 7868

Hope this helps! :)

a. Mean of data set = 29

b. Median of data set = 29

c. Mode of data set= 25, 26, 30

d. Midrange of data set = 32.5

What is mode of data set?

Mode of a data set is the value that appears the most often in a data set.

Given that;

Super Bowl ages listed below,

41, 24, 30, 31, 32, 29, 25, 26, 26, 25, 30,

Now, Calculate mean of the data as,

Mean = 41 + 24 + 30 + 31 + 32 + 29 + 25 + 26 + 26 + 25 + 30 / 11

         = 319 / 11

         = 29

And, Calculate Median of data as;

Firstly arranged in ascending order,

24, 25, 25, 26, 26, 29, 30, 30, 31, 32, 41

Since, There are 11 numbers (odd).

Hence, Median = 29

And, Calculate Mode of data set as;

Since, Mode of a data set is the value that appears the most often in a data set.

So, Mode = 25, 26, 30

Since, Midrange of data set is exactly halfway between the minimum and maximum numbers in a set of data.

So, Midrange = 41 + 24 / 2

                    = 65/2

                    = 32.5

Thus, Mean of data set = 29

Median of data set = 29

Mode of data set= 25, 26, 30

Midrange of data set = 32.5

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The complete question is this;

Super Bowl Ages Listed below are the ages of the same 11 players used in the preceding exercise. How are the resulting statistics fundamentally different from those found in the preceding exercise?

41 24 30 31 32 29 25 26 26 25 30

Calculate the value of;

A. Mean

B. Median

C. Mode

D. Midrange

Answer: AC=53.3

Step-by-step explanation:

So we got the genious's theory that we all love/hate with

a^2 + b^2 = c^2

Now the longest side which in our case is also side (AC) is always gonna be C. So remember the longest side is always C. Since they give us the other 2 sides, we know those sides are (A) and (B) in the theorem.

So lets substitute.

34^2 + 41^2 = C^2

Simplify and It Equates to:

1156 + 1681 = c^2

2837 = c^2

Now Square Both Sides to cancel out that pesky ^2 on the (C) variable.

And you get 53.26 which rounds to 53.3 on your test. Good Luck!

Answer:

-1492

Step-by-step explanation:

1) based on the given conditions, formulate:

50-1542

2) calculate:

50-1542= -1492

Spinning a blue is unlikely

Spinning a red or yellow is likely

Spinning another colour is impossible

Spinning red is neither likely nor unlikely

Fundamentally crucial is the contrast between probability and likelihood: While likelihood is attached to hypotheses, probability is attached to potential outcomes. This first column's goal is to clarify this distinction.

The set of potential outcomes is complete and mutually exclusive. Let's say we ask a participant to forecast the results of ten coin flips. There are only 11 potential outcomes (0 to 10 correct predictions). One and only one of the potential outcomes will ever be the actual outcome. Therefore, the probability associated with the potential outcomes must add up to 1.

Contrary to outcomes, hypotheses are neither exhaustive nor mutually exclusive.

Learn more about probability

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Answer:

slope is -1/4

y intercept is 11/2

Step-by-step explanation:

the slope is (3-5)/(10-2) = -2/8 = -1/4 (using the slope formula)

the y intercept we can set up an equation, y= mx + b

we already know m, which is -1/4 (the slope), and to find b, we could just plug in one of the points to get

5 = (-1/4)*2+b

solve the equation

b = 11/2

Answer:

no it is. not

Step-by-step explanation:

but some consider it an identity but it's not

Answer:

[tex]\frac{x }{x^{2}-9 } +\frac{9}{x}=\frac{x^{2} }{x(x^{2}-9) }+\frac{9(x^{2}-9) }{x(x^{2} -9)}\\\\=\frac{10x^{2} -81}{x(x-3)(x+3)}[/tex]

Step-by-step explanation:

Answer:

the answer would be 10 animals in each row without mixing up the animals

Step-by-step explanation:

Answer:

C; It would become wider due to using the z-distribution

Step-by-step explanation:

Mathematically, we go on to look at the formula for confidence interval calculations here

The formula involves multiplying z by the s

which is the z-value and the standard deviation

Increasing the standard deviation value means we are increasing the product of multiplying z and s

This means that we are getting a larger value for the multiplication

Thus, we now have a wider confidence interval value as a result of a larger product

So this means that the CI would become wider due to the usage of the z-distribution

Answer:

the interest rate is 3/5

Step-by-step explanation:

i=prt

2700= 5000•r•9

2700= 45000r

2700/45000= 45000r/45000

2700/45000= r

*reduce the fraction to simplest form*

r= 3/5

Answer:

C

Step-by-step explanation:

the guy above sucks

None. Wanda’s work is correct.

Wanda converted the percent to a decimal incorrectly. It should be 0.073.

Wanda converted the percent to a decimal incorrectly. It should be 0.73.

Wanda has the wrong label. It should be hours, not dollars.

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

Answer:

its 108

Step-by-step explanation:

27x4=108

Answer:

  326 ft²

Step-by-step explanation:

You want to know the area of the library, which is a composite shape.

The area of a composite shape is found by dividing it into shapes whose areas are easy to find. The area of the shape will be a combination of the areas of the simpler shapes.

The formula for the area of a rectangle is ...

  A = LW

Extending the middle horizontal line will divide the figure into two rectangles whose dimensions are given on the figure.

The upper rectangle is 30 ft wide and 5 ft high, so its area is ...

  A = (30 ft)(5 ft) = 150 ft²

The lower rectangle is 22 ft wide and 8 ft high, so its area is ...

  A = (22 ft)(8 ft) = 176 ft²

The area of the library will be the sum of these two rectangular areas:

  library area = 150 ft² +176 ft² = 326 ft²

The library area is 326 square feet.

__

Alternate solution

The area could be considered to be a rectangle that is 30 ft wide by 5+8=13 ft high, with a rectangle 30-22=8 ft wide and 8 ft high removed from the lower left corner. The difference in area between the overall rectangle and the removed rectangle is ...

  (30 ft)(13 ft) -(8 ft)(8 ft) = 390 ft² -64 ft² = 326 ft²

The method shown above does not require calculating missing dimensions, so is more straightforward.