20 points.

Find the area of a right triangle whose hypotenuse is 20 units long and the altitude drawn from the Right angle divides the hypotenuse into 5 units and 15 units.

Answers

Answer 1

Step-by-step explanation:

the height of the triangle = √(5×15)= √75

=5√3 units

the base of triangle= 20 units

so, the area = ½×20×5√3= 50√3 units

or 86.60 units


Related Questions

What is the area of this figure?
33 mi
7 mi
16 mi
20 mi
13 mi
17 mi
square miles

Answers

Your answer is 452 square miles

(answer quickly please)
Last year, Charmaine opened an investment account with $6200. At the end of the year, the amount in the account had decreased by 6.5%. How much is this
decrease in dollars? How much money was in her account at the end of last year?

Answers

Answer:

Decreased value- 2,170  

Absolute difference- 4,030

Step-by-step explanation:

PLEASE someone help me with this

Answers

Answer:

I CAN ACTUALLY HELP FOR ONCE!!!! [tex]30m^{3}[/tex]

Step-by-step explanation:

Answer:

30m^3

Step-by-step explanation:

Please help.
Determine which lines are parallel and which are perpendicular. Explain your reasoning.

Answers

Answer:

Parallel: a and b, p and q, p and r, q and r

PErpendicular: p&a, p&b, q&a, q&b, r&a, r&b

Step-by-step explanation:

Parallel lines have the same slope so both of the lines would be going in the same direction and will never cross each other.

Perpendicular lines cross at a 90 degree angle.

Technically you do not know if q&a and q&b are perpendicular because you do not know if there is a 90 degree angle

Answer:

Parallel lines are equally spaced out in the same direction so it would be p,q, and r, Purpendicular Lines intersect at a 90 degee angle so it would be q and a, q and b, r and b, and r, and so on

Step-by-step explanation:

Find the value of x in the isosceles triangle shown below

Answers

Answer:

The answer is 12

Hope it helps

Answer:

x = 12

Step-by-step explanation:

Since the 2 legs and base angles are congruent the triangle is isosceles.

The line from the vertex to the base is a perpendicular bisector dividing the triangle into  2 right triangles.

Using Pythagoras' identity in either of the 2 right triangles with legs 3 and [tex]\frac{1}{2}[/tex] x , hypotenuse [tex]\sqrt{45}[/tex] , then

([tex]\frac{1}{2}[/tex] x )² + 3² = ([tex]\sqrt{45}[/tex] )²

[tex]\frac{1}{4}[/tex] x² + 9 = 45 ( subtract 9 from both sides ²)

[tex]\frac{1}{4}[/tex] x² = 36 ( multiply both sides by 4 to clear the fraction )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12

PLEASE ANSWERRRRRRRRRRRRRRRRRRRRRRRRRRR

Answers

Answer:

215 cm^2

Step-by-step explanation:

Area for triangles: 1/2(b)(h)

Area for parallelograms: (b)(h)

18 - 6 - 5 = 7

20 - 10 = 10

1/2(7)(10)

1/2(70)

35

18(10)

180

180 + 35 = 215

Thank you for the Points but please stop taking answers from people who need help... Its not very kind

Which of these expression is equivalent to 10% . 10%?
A. 100'
B. 103
C. 10,000,000
D. 2010
E. 107

what expression is equivalent to

Answers

It is letter C 10000000

Find the are of this compound shape below *

Answers

Answer:

52 cm²

Step-by-step explanation:

First, we find the area of the bottom rectangle. We see it's 4 high and 10 wide, so 4x10 is 40. Then, we see that the small figure in the top right has a height of 4 and width of 3, so 4x3 = 12, add those and you get 52.

What is the area of the rectangle

Answers

Answer:

B) [tex]\frac{15}{4}[/tex]

Step-by-step explanation:

Area of a rectangle formula:

A = bh

Given:

b = [tex]2\frac{1}{2}[/tex]

h = [tex]1\frac{1}{2}[/tex]

Work:

A = bh

A = [tex](2\frac{1}{2} )(1\frac{1}{2} )[/tex]

A = [tex]\frac{15}{4}[/tex]

I need help with this work !!!

Answers

Answer:

16. B

17. C

18. D

19. B

20. D

I really need helppppp

Answers

Answer:

The correct answer is C.

Step-by-step explanation:

In the equation of a circle, if the variable [tex]x[/tex] and [tex]y[/tex] are added or subtracted by any number before being squared, the entire circle with be translated in the opposite amount that was added or subtracted to the circle. For example, [tex](x-8)^2 + (y-8)^2[/tex] shifts the center 8 to the right and up of the origin, [tex](x+1)^2+(y+4)^2[/tex] shifts the center 1 to the left and 4 down of the origin. Since the circle represented in the graph is centered directly on the origin, that means the equation will have [tex]x^2+y^2[/tex], which helps you eliminate choices A and C. For the equation of a circle, the radius is the value of the constant on the right side of the equal sign taken to its square root. Since the radius of this circle is 8, that means the constant at the right side of the circle would be 64 or [tex]8^2[/tex], so the correct answer would be choice C: [tex]x^2+y^2=8^2[/tex].

25 minutes before 9 at night is written as _:__p.m.​

Answers

The answer is 8:35 pm

the probability of an event happening is 5/9 what are the odds in favor of the event happening

Answers

Answer:

5/9

Step-by-step explanation:

it's literally telling you the answer and asking you

If they want the odds in favor then it's the odds of the event happening

Michael’s favorite cereal is Cinnamon Toast Crunch. His mom buys him a big box for a special treat, and he wants to figure out exactly how much cereal is in the box. The box has a volume of 384 cubic inches. The height is 12 inches and the length is 8 inches. What is the width?​

Answers

Answer:

he made a good choice, the width is: 4 inches

Step-by-step explanation:

12 x 8 x _4_ = 384

pls help me with this thnx

Answers

Answer:

Shop B has a better value for their baked beans.

Step-by-step explanation:

Shop A:

5 kg = 5.65

1 kg = 5.65 / 5

= 1.13 pence

Shop B:

2 kg = 2.02

1 kg = 2.02 / 2

= 1.01 pence

Find the median of the data in the box plot below. Cookies A horizontal boxplot titled Number of cookies eaten by each contestant, is plotted along a horizontal axis marked from 2 to 30, in increments of 1. A left whisker extends from 5 to 6. The box extends from 6 to 22 and is divided into 2 parts by a vertical line segment at 8. The right whisker extends from 22 to 25. All values estimated.

Answers

Diagrammatic representation of the summarized box plot is attached below :

Answer:

Range = 20

Median = 8

Step-by-step explanation:

The median value of a box plot is obtained at the point where a vertical line divides the box into two parts. In the boxplot Given the median of the representation is 8. This is the point where the vertical line divides the box.

The range of the distribution is the difference between the maximum and minimum value :

Minimum (starting point of whisker) = 5

Maximum (end point of whisker) = 25

Range = 25 - 5 = 20

how do you find the height of a triangle (to calculate area)?

Answers

Answer:

The height of the triangle could be found by the Pythagoras theorem, where the result is, with the data of the exercise:

Height of the triangle = 10.392

And the area of the triangle is:

Area of the triangle = 31.176 units^2

Step-by-step explanation:

When you have two measurements of a triangle, as the case in the picture, you can find the third with the Pythagoras theorem, which is:

(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2

As you can see in the picture, the measurement of the hypotenuse is 12, and the opposite leg could be 6, for this reason, we're gonna clear the adjacent leg of the formula above:

(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2(adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2

Now, we can replace the values in the formula obtained:

(adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2(adjacent leg)^2 = 12^2 - 6^2(adjacent leg)^2 = 144 - 36(adjacent leg)^2 = 108

Now, as we just need the adjacent leg, we take the square root of both sides:

adjacent leg = [tex]\sqrt{108}[/tex]adjacent leg = 10.392 approximately.

Now, with these data, we can find the area of the triangle with the next formula:

Area of a triangle = (base * height) / 2And we replace the measurements:Area of a triangle = (6 * 10.392) / 2Area of a triangle = 31.176

As the image does not contain units, it would be simply this number, however, you should know that the area units are usually given squared, for example: in^2 or ft^2.

Convert 81° to radians.

Answers

Answer: 9π/20 radians  

How to: Convert from degrees to radians using the ratio π/180 .

Have a great day !

Dawn is going scuba diving. Which situation would be modeled by a positive number?
on the dive boat deck
at the water line
underwater near a reef
on the ocean floor

Answers

Answer:

Step-by-step explanation:

on the dive boat deck :)

on the dive boat deck

juan bicycles due north at 20mph eric starting at the same point at the same time bicycles due east at 15mph how.

far apart are they after 2 hours?

A. 10 miles
B. 35 miles
C. 50 miles
D. 70 miles

Answers

I’m not good at math but I think u have to divide or multiply 20 and 15

so i have a pic i need 1a plz i am giving a bunch of my points plz give it real asap

Answers

Answer:

.

Step-by-step explanation:

Answer:

What???? (confusion)


What is the center and radius of the following
circle:
(x +4)2 + (-2) = 4?

Answers

Answer:

x = -1

Step-by-step explanation:

Answer:

That is not a circle; it has no y term

My guess:

center = (h, k) = (-4, 2)

r = √4 = 2

Step-by-step explanation:

If I had to guess what you intended:

(x  + 4)² + (y - 2)² = 4

The standard equation for a circle is

(x - h)² + (y - k)² = r²

(h, k) is the center and r is the radius

center = (h, k) = (-4, 2)

r = √4 = 2

Plz dont skip and answer. Will give branliest. No links please

Answers

Answer:

181 mi^2

Step-by-step explanation:

Dimensions of large rectangle, on the left, are 6 mi by 8 m; area is 48 m^2;

Dimensions of small rectangle, in the middle of the diagram, are 4 mi by 5 mi, or 20 mi^2; area is 20 mi^2.

Dimensions of circle:  r = 12 mi; area of quarter circle is (1/4)(3.14)(12 mi)^2, or 113 mi^2.

Total area is 113 mi^2 + 20 mi^2 + 48 mi^2, or 181 mi^2

Answer:

Step-by-step explanation:

So first off. lets take chunks of this shape. We have a 6x8 rectangle, a 4x5 rectangle, and a 1/4 circle with a radius of 12.

The area of a rectnagle is just length x width.

So lets plug in our values for our two ractnagles, and see what we get:

6*8

=

48

So our first rectangle has a area of 48

Next we have:

4*5

=

20

So our second rectangle has an area of 20.

Add these otgether you get 68.

Finally we have our 1/4 circle. To solve this, find the area of the full circle and divide by 4.

We already know the radius, which is 12, and the formula for area of a circle is:

a=πr^2

Plug in 12:

a=π12^2

=

a=π144

dividing by four for the 1/4circle:

a=π36

So this means your answer is either:

68 +36π

Or:

181.097(solving pi*36)

Either of these work, if the problem allows pi, then use the first one, If not, use the bottom one.

Hope this helps!

Simplify
2 xm x 2n x 8m

Answers

Answer:

This simplified would be 32xm

Hope this helps!

Mark me brainliest if I'm right :)

Answer:

The answer is 32x^3m^2n

Explanation: have a good day!

The quality control manager of at Long John Silver's restaurant wants to analyze the length of time that a car spends at the drive-thru window waiting for an order. It is determined that the mean time spent at the window is 59.3 seconds with a standard deviation of 13.1 seconds. The distribution of time at the window is skewed right. The quality control manager wishes to use a new delivery system designed to get cars through the drive-thru system faster. A random sample of 40 cars results in a sample mean time spent at the window of 56.8 seconds. What is the probability of obtaining a sample mean of 56.8 seconds or less, assuming that the population mean is 59.3 seconds

Answers

Answer:

0.11314

Step-by-step explanation:

The Long John Silver's restaurant parameters are;

The mean time spent at the window, μ = 59.3

The standard deviation, σ = 13.1

The time distribution is skewed right

The number of cars in the sample, n = 40 cars

The mean time spent at the window with the delivery system, [tex]\overline x[/tex] = 56.8 seconds

The Z-value for a mean time of 56.8 seconds is given as follows;

[tex]Z=\dfrac{\bar{x}-\mu }{\dfrac{\sigma }{\sqrt{n}}}[/tex]

Therefore, we get;

[tex]Z=\dfrac{56.8-59.3 }{\dfrac{13.1 }{\sqrt{40}}} \approx -1.20697620617[/tex]

Therefore, the z-value ≈ -1.21

From the normal probability table, we have;

P([tex]\overline X[/tex] ≤ 56.8) = P(Z < -1.21) = 0.11314

The probability of obtaining a sample mean of 56.8 second or less, assuming that the population mean is 59.3 seconds P([tex]\overline X[/tex] ≤ 56.8) = 0.11314.

Timed Test

Which type of discontinuity occurs at x = 5?

Answers

Answer:

D

Step-by-step explanation:

Based off of previous responses and my incorrect answer, I am going to say the answer is D.

Answer: d

Step-by-step explanation: edge

The verticles of a polygon p(0,4), q(5,4), r(5.-3) and s(0,-3). What are the perimeters of the polygon

Answers

Answer:

Following are the responses to the given question:

Perimeter of polygon:

[tex]PQ = 5\\\\RS = 5\\\\PR = QS=\sqrt{74} = 8.60\\\\QR = 7[/tex]

Step-by-step explanation:

In this question we calculate the perimeter of a polygon which can be defined as follows:

Using formula:

[tex]d = \sqrt{(x _2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

When vertices are:

[tex]P ( 0 , 4) \\\\Q(5 , 4)[/tex]

[tex]x_1 = 0\\\\y_1 = 4\\\\x_2 = 5\\\\y_2 = 4\\\\PQ = \sqrt{( 5 - 0)^2 + ( 4 - 4)^2}\\\\= \sqrt{5^2 + 0^2}\\\\= \sqrt{25}\\\\= 5[/tex]

[tex]R( 5 , -3) and S ( 0 , -3)x_1 = 5y_1 = -3x_2 = 0\\y_2 = -3\\RS = \sqrt{ ( 0 - 5)^2 + ( -3 - (-3))^2}\\= \sqrt{( -5)^2 + ( -3 + 3)^2}\\= \sqrt{ 25 + 0}\\= \sqrt{25}\\= 5\\P( 0 , 4)\ and\ R (5 , -3)\\x_1 = 0\\y_1 = 4\\x_2 = 5\\y_2 = -3\\PR = \sqrt{( 5 - 0)^2 + ( -3 - 4)^2}\\= \sqrt{5^2 + (-7)^2}\\= \sqrt{ 25 + 49}\\= \sqrt{74}\\= 8.60\\[/tex]

[tex]Q ( 5 , 4) \ and \ S(0 ,-3)\\x_1 = 5\\y_1 = 4\\x_2 = 0\\y_2 = -3\\QS =\sqrt{ ( 0 - 5)^2 + ( -3 - 4)^2}\\= \sqrt{-5^2 + -7^2}\\= \sqrt{25 + 49}\\= \sqrt{74}\\= 8.60[/tex]

[tex]Q( 5,4\ and\ R(5 , -3)\\x_1 = 5\\y_1 = 4\\x_2 = 5\\y_2 = -3\\QR = \sqrt{(5 - 5)^2 + ( -3 - 4)^2}\\= \sqrt{0^2 + (-7)^2}\\= \sqrt{0 + 49}\\= \sqrt{49}\\= 7\\[/tex]

Savannah gave the cashier $20 to pay for 3 pairs of socks. The cashier gave her $5.03 in change. Each pair of socks cost the same amount. What is the cost in dollars and cents for each pair of socks? Once you solve the problem, circle/highlight your answer.

Answers

Answer: $4.99

Step-by-step explanation:

The amount that Savannah paid for the 3 pairs of socks will be gotten by subtracting $5.03 from $20 which will be:

= $20 - $5.03

= $14.97

Since each paid of socks cost thesame amount, the cost of each pair of socks will be:

= $14.97/3

= $4.99

Each pair of socks cost $4.99

QUICK WILL MAKE BRAINLIEST!!
FILL IN THE BLANK (HURRY NEED TURNED IN BY 9:06 ITS 9:04)
Million dollar ________?

Answers

Answer:

What does it mean but just Million dollar?

Step-by-step explanation:

can sb pls answer this for me im having a really hard time

Answers

The answer to A) is .0062 cents per inch
Other Questions
Jihad in a sentence Please help I need help After Via learns about the new Miranda, she... A. tries to turn Ella's against Miranda B. does all things C. writes a letter explaining how much she misses the old Miranda D. declines to get a ride home from her and takes the subwayPlease help Why cant you just use all of the details in your research report as details for your oral report?Some of the details are more convincing in writing than in a speech.Its not fair to use information that you already researched for a different assignment.You may not have time to include them all and go into enough detail about each one. I-READY QUESTION NO LINKS OR NO WRONG ANSWERS CAN anyone help me in this questions? I will mark brainliest The sea, on average, has a molarity of 0.599 M NaCl. How many grams of NaCl is this for every 1 liter?Pls answer Please help!! I need this asap! thank you so much!! HELP MEEE!! T^T BRAINLIEST TO WHOEVER CAN HELP ME~ 3. What was the Mitsubishi Zero?4. What time did the attack at Pearl Harbor start?How many Shattle shins did the lananese sink at Pearl Harbor? Write down the integer values that satisfy the inequality -5 Standing on the surface of the earth you have a weight of 100 N. If you were to travel until you were 2earth radii above the surface of the earth your weight would be?b.) 11 Nc.) 25Nd.) 50 Ne.) about 100Na.) 0N What fraction is greater than 3/5 Magnesium metal reacts with oxygen according to the equation: Mg(s) + O2(g) 2MgO2(s)Which of the following would increase the rate of the reaction?grinding the magnesium metal into a fine powderpacking the magnesium tightly at the bottom of the containerforming the magnesium metal into the shape of a sphereforming the magnesium metal into single, large cube While diving in cancun Mexico where the seawater has a density of 1,015 kg/m3 Nana observed that her pressure meter device reading was 3.75 atm. The reading at sea level is standard 1.0 atm. At what depth is she diving when the meter read 3.75 atm g Consider this microscopic image of bacteria.Rod-shaped bacteria is shown.Based on its shape, what is most likely the form of this bacteria?coccusstaphusbacillusspirill According to data from the United States Elections Project, only 38 percent of eligible voters voted in the 2014 elections. For random samples of size 40, which of the following best describes the sampling distribution of p, the sample proportion of people who voted in the 2014 elections?A. The sampling distribution is approximately normal, with mean 0.36 and standard deviation 0.076. B. The sampling distribution is approximately normal, with mean 0.36 and standard deviation 0.006. C. The sampling distribution is skewed to the right, with mean 0.64 and standard deviation 0.006. D. The sampling distribution is approximately normal, with mean 0.64 and standard deviation 0.076. E. The sampling distribution is skewed to the left, with mean 0.36 and standard deviation 0.076. What is the greatest common factor (GCF) of the polynomialbelow.12x3 + 4x2 8x Find the volume of this triangular prism.25 cm10 cm10 cm Which analysis of President Roosevelt's views is BEST supported by the text? A He was persuaded that Germany would not be content just to conquer Europe. B He believed the greatest threat to United States security came from within. C He feared the Nazis were right in saying they could beat any power in the world. D He was convinced that negotiations with Germany were likely to break down. When is it important to assess your knowledge of an issue? Check all that apply. 0.0/1.0 point (graded) When is it important to assess your knowledge of an issue? Check all that apply. A. When you are a student in a beginning level class B. When you are an expert on that topic C. When you have done previous research on the topic unanswered Find the perimeter and area of the polygon shown below.A. P= 80 feet, A = 368 square feetB. P = 80 feet, A = 360 square feetC. P= 95 feet, A = 420 square feetD. P = 60 feet, A = 368 square feet