Is this a right triangle?

Is This A Right Triangle?

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:
Use the Pythagorean theorem (a^2 + b^2 = c^2) to find out if the hypotenuse (20 cm) squared is equal to the sum of the other two sides when squared. This will determine if it is truly a right triangle.

[tex]12^{2} +16^{2} =20^{2}[/tex]
[tex]144 + 256 = 400[/tex]
[tex]400 = 400[/tex]

The triangle is indeed a right triangle.


Related Questions

I am 1,000 times as big as a gram what am i

Answers

Answer:

One Kilogram

Step-by-step explanation:

1kg = 1000g

Answer:

Kilogram

Step-by-step explanation:

There are 7 red counters in a bag.
The rest of the counters in the bag are blue,
There are more blue counters than red counters in the bag.
Two counters are to be taken at random from the bag.
The probability that there will be one counter of each colour is
7/15.
Work out the total number of counters in the bag before any counters are taken from the bag.

Answers

Let x be the number of counters in the bag.

Pr(red counter) is drawn first = 7/x

Pr(blue counter) is drawn first = (x-7)/x

Pr(counters will be same) = 8/15

solution:

with replacement:

P^req= 7/7+x × x/7+x= 7/15

so, the total number of counters in the bag before any counters are taken from the bag are 7/15.

Find the lateral area and surface area of a cone with an altitude of 5 feet and a slant height of 9 and 1/2 feet. Round to the nearest tenth, if necessary.

Answers

Check the picture below.

we know the LA is 9 and 1/2 or namely 19/2 and the height is 5, so

[tex]\stackrel{slant~height}{\cfrac{19}{2}}~~ = ~~\stackrel{slant~height}{\sqrt{r^2+h^2}}\implies \left( \cfrac{19}{2} \right)^2~~ = ~~r^2+5^2\implies \cfrac{361}{4}~~ = ~~r^2+25 \\\\\\ \cfrac{361}{4} - 25~~ = ~~r^2\implies \cfrac{261}{4}=r^2\implies \sqrt{\cfrac{261}{4}}=r\implies \boxed{\cfrac{3\sqrt{29}}{2}=r} \\\\[-0.35em] ~\dotfill\\\\ LA=\pi r\stackrel{slant~height}{\sqrt{r^2+h^2}}\implies LA=\pi \left( \cfrac{3\sqrt{29}}{2} \right)\cfrac{19}{2}\implies \boxed{LA=\cfrac{57\pi \sqrt{29}}{4}}[/tex]

[tex]~\dotfill\\\\ SA=\pi r\sqrt{r^2+h^2}~~ + ~~\pi r^2\implies SA=LA~~ + ~~\pi r^2 \\\\\\ SA=\cfrac{57\pi \sqrt{29}}{4}~~ + ~~\cfrac{3\pi \sqrt{29}}{2}\implies \boxed{SA=\cfrac{63\pi \sqrt{29}}{4}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill LA\approx 241.1\qquad SA\approx 266.5~\hfill[/tex]

Convert 3 kilometres into metres

Answers

Answer:

3000m

Step-by-step explanation:

First, note that km is the same as kilometers and m is the same as meters. Thus, when you are asking to convert 3 km to m, you are asking to convert 3 kilometers to meters.

A kilometer is larger than a meter. Simply put, km is larger than m. In fact, a kilometer is "10 to the power of 3" larger than a meter.

Since a kilometer is 10^3 larger than a meter, it means that the conversion factor for km to m is 10^3. Therefore, you can multiply 3 km by 10^3 to get 3 km converted to m.

Here is the answer with the math showing you how to convert 3 km to m by multiplying 3 by the conversion factor of 10^3.

3 x 10^3

= 3000

3 km

= 3000 m

Answer:

3000 m

Step-by-step explanation:

Unit conversion :

1000 m = 1 km

Solving :

Let the missing value be 'x' mThen, according to this ratio :x/3 = 1000/1x = 1000 * 3x = 3000 m

I need help with this

Answers

Answer:

Class 1.

Step-by-step explanation:

Class 1 has the greater interquartile range.

Answer:

Class #2

Step-by-step explanation:

IQR of Class #1:

85 - 72 = 13

IQR of Class #2:

90 - 70 = 20

Class #2 has a greater IQR!

Hope this helps!

The first equation in the system models the height in feet, h, of a falling baseball as a function of time, t. the second equation models the height in feet, h, of the glove of a player leaping up to catch the ball as a function of time, t. which statement describes the situation modeled by this system? startlayout enlarged left-brace 1st row h = 35 minus 16 t squared 2nd row h = 6 18 t 16 t squared endlayout the height of the baseball is 18 feet at the moment the player begins to leap. the height of the baseball is 16 feet at the moment the player begins to leap. the height of the baseball is 35 feet at the moment the player begins to leap. the height of the baseball is 6 feet at the moment the player begins to leap.

Answers

The height of the baseball is 6 feet at the moment the player begins to leap. Then the correct option is D.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The first equation in the system models the height in feet, h, of a falling baseball as a function of time, t. the second equation models the height in feet, h, of the glove of a player leaping up to catch the ball as a function of time, t.

h(t) = 35 - 16t²

h(t) = 6 + 18t + 16t²

At t = 0, Then we have

h(0) = 35 - 16(0)²

h(0) = 35

And

h(0) = 6 + 18(0) + 16(0)²

h(0) = 6

The height of the baseball is 6 feet at the moment the player begins to leap.

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

option 2 or B

Step-by-step explanation:

Ashley needs new batteries for the flashlights at her house. Each flashlight takes 4
batteries. Write an equation to show how the number of batteries needed, b, depends on the number of flashlights, f.

Answers

Answer: b = 4f

Step-by-step explanation:

     Since every flashlight needs 4 batteries, every flashlight added (f) will be 4 more batteries needed total (b). With this information in mind, we can write the equation:

             b = 4f

Answer:

b = 4f

Step-by-step explanation:

4 batteries per flashlight

Please help I will give brainliest.

Answers

Answer:

See below

Step-by-step explanation:

x =  silk  yards

y =  cotton yards

y = 4.25 - x    sub this in to the second equation

 16.90 x  + 4 ( 4.25 - x ) = 36.35

    x =  1.50   yards of silk

    y = 4.25 - 1.50 = 2.75 yards of cotton

15 days ago, the share of the Valmont family business was worth $156. Over the next 5 days, the stock value increased by $3 per day. Then its value went down by $5 a day for 10 days.

What is the value of the stock today?

Using Order of Operation
please answer i need it today :'(​

Answers

Answer:

compute the company's price-to-earnings (P/E) ratio.

Step-by-step explanation:

When companies issue additional shares, it increases the number of common stock being traded in the stock market. For existing investors,

+
Sasha earns $10,50 per hour at
her job. She deposits everything she earns into
her savings account. She currently has $150 in
his savings account. Jack earns $9.00 per hour
at his job. He deposits everything he earns into
his savings account. He currently has
$300 in his savings account.
What month will both Sasha and Jack have the
same amount of money in their account?

Plssssss helpp me

Answers

To start off you will need to set an equation that Will representate a change of both Sasha and Jack. Since we have the constants for both Sasha and Jack you will set up an equation that adds onto their balance. let X represent the rate of change which is hours.

Sasha = $10.50x + 150
Jack = $9.00x + 300

Now that you know these equations you must have them equal to each other to find what value of X how many hours they will be equal. We cannot find out the months that Sasha and Jack will have the same amount of money on the account because there is no information regarding the hours they work per month. However by setting both of the equations equal to each other you can find the number of hours it will take for them to have the same amount of money in their accounts.

The sum of two consecutive odd numbers is 28. Find their product​

Answers

We will see that the first odd number is 13 and the second odd number is 15, the product is:

P = 13*15 = 195

How to find the two consecutive odd numbers?

Let's say that the first number is x, the next odd number will be x + 2.

The sum of these two odd numbers must be 2, then we need to solve the linear equation:

x + (x + 2) = 28

We can solve that for x:

2x + 2 = 28

2x = 28 - 2 = 26

x = 26/2 = 13

Then the first number is x = 13 and the second number is  x + 2 = 13 + 2 = 15.

The product of these two numbers is:

13*15 = 195

IF you want to learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

GIVING BRAINLIEST+20 POINTS TO BEST ANSWER FOR THESE 2 QUESTIONS!


1.Which story represents the equation six sevenths times one fourth?

1. Victoria drinks six sevenths of a cup of milk. She drinks one fourth of a cup more of milk. How much milk did she drink in all?

2. Mike walked one fourth mile and then he took the bus for six sevenths mile to school. How many miles did he travel in total?

3.Victoria has six sevenths of a pizza. She ate one fourth of it for dinner. How much pizza did Victoria eat for dinner?

4.Mike has six sevenths of a pie. He gives one fourth to his brother. How much pie does he have left

Answers

Answer:

3.

Step-by-step explanation:

Hey there!

This scenario shows that Victoria ate 6/7 of a pizza and ate 1/4 of that pizza the same day for dinner showing that she at one fourth of the six-sevenths pieces

Answer:

It is the third one.

Step-by-step explanation:

Let's take a look at each story. We need to find out which story is [tex]\frac{6}{7}[/tex]×[tex]\frac{1}{4}[/tex].

1. Victoria drinks six-sevenths of a cup of milk. She drinks one-fourth of a cup more of milk. How much milk did she drink in all?

This story is adding the fractions together since it wants to know how much did she drink in ALL. So this is not it.

(Here are some keywords to tell you if you need to add, altogether, all, in all, together, total, total number, add, increase, increased by, more than.)

2. Mike walked one-fourth mile and then he took the bus for six-sevenths mile to school. How many miles did he travel in total?

Once again this story is adding. It uses the word total. So this is not it.

3.Victoria has six-sevenths of a pizza. She ate one-fourth of it for dinner. How much pizza did Victoria eat for dinner?

This is correct since it wants to know how much she ate for dinner. She ate [tex]\frac{1}{4}[/tex] of [tex]\frac{6}{7}[/tex] of the pizza.

4.Mike has six-sevenths of a pie. He gives one-fourth to his brother. How much pie does he have left

This story is subtracting. So it is not it. (Subtracting words, minus, greater than, take away, fewer than, less than, subtract, decreased by.)

I can buy a box of cereal for $3.50 that comes with 35 half-cup servings.

Answers

Please I think the question is not complete

Please answer number 14. It would mean so much to me.

Answers

Answer:

100.1 ft

Step-by-step explanation:

You have dimensions of the original and scaled figures.

The missing dimension can be found using proportions as below

52.8 in ⇒ 57.2 ft (width)92.4 in ⇒ x ft (height)52.8/57.2 = 92.4/xx = 92.4*57.2/52.8x = 100.1 ft

3
(08.01)
Line M is represented by the following equation: x - y = 8
Which equation completes the system that is satisfied by the solution (18, 10)? (4
points)
1) 2x - y = 26
2) x + y = 18
3) 2x - 2y = 36
04) x - y = -28

Answers

Answer:

1) 2x - y = 26.

Step-by-step explanation:

Solution =  (18, 10)

2x - y = 26 fits the bill

as   2(18) - 10

= 36 - 10

= 26.

Solve the following inequality for s. Write your answer in simplest form.
-10 + 5(78 + 8) < - 4s +3 - 8

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: - 10 + 5(78 + 8) < - 4s + 3 - 8[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 10 + 5(86) < - 4s - 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 10 +430 < - 4s - 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: 420 + 5 < - 4s [/tex]

[tex]\qquad \sf  \dashrightarrow \: 42 5 < - 4s [/tex]

[tex]\qquad \sf  \dashrightarrow \: 42 5 \div 4 < - s [/tex]

[tex]\qquad \sf  \dashrightarrow \: 106.25 < - s [/tex]

Inequalities change when it is multiplied by -ve number

[tex]\qquad \sf  \dashrightarrow \: - 106.25 > s [/tex]

What is the difference between the mean and median of the set {3,8,10,15}?

Answers

Answer:

the difference is 0

Step-by-step explanation:

[tex]\large \text Mean =\frac{3+8+10+15}{4} = 9[/tex]

[tex]\large \text{Median} =\frac{8+10}{2} =9[/tex]

the difference = 9 - 9 = 0

does anybody know the answer to this question?

Answers

Answer: 56 yd

Step-by-step explanation: if you continue the 8 yd line across, it would show that the missing side is 4yd less than the 13 yd side, meaning the missing side is 9 yd long. So after adding 7 + 13+ 15+ 4 + 8 + 9= 56 yd

Write an expression equivalent to the expressions 12x+16y using the gcf

pls help

Answers

Answer:4(3x+4y)

Step-by-step explanation: the gcf of 12x+16y is 4. we factor out 4 by dividing both terms by 4.

Answer:

[tex]4(3x+4y)[/tex]

Step-by-step explanation:

Hey there!

This would be the correct answer because the GCF of 12 and 16 is 4.

Now that we know that it is 4 we can divide the eqiasion by 4 and  then you get

[tex]4(3x+4y)[/tex]

If you need to ckeck if this answer is corret then you will need to use the distributive property to distribute 4 to 3y and 4y.

The equasion would then look like this

[tex](4(3x)) (4(4y))[/tex]

Next you would need to solve the equasion to get the origional equasion

[tex]12x+16y[/tex]

Find the surface area of the composite figure.

Answers

The Surface area of the figure is 520 square centimeters

How to calculate the surface area of a figure

The figure is made up of rectangular prisms

The formula for calculating the surface area of rectangular prism is expressed as:

SA = 2(lw + wh + lh)

l is the lengthw is the widthh is the height

Surface area of the figure = 2(2(8) + 2(14) + 8(14)) +  2(6(8) + 6(4) + 8(4))

Surface area of the figure = 2(16+28+112) + 2(48 + 24+32)

Surface area of the figure = 312 + 208

Surface area of the figure = 520 square centimeters

Hence the Surface area of the figure is 520 square centimeters

Learn more on surface area of composite figure here: https://brainly.com/question/26736468

What is the slope of the line that passes through (9,3) and (2,1)

Answers

Answer:

2/7

Step-by-step explanation:

[tex]slope = \frac{1 - 3}{2 - 9} \\ = \frac{ - 2}{ - 7} \\ = \frac{2}{7} [/tex]

A gas tank holds exactly 14 gallons of gas. if the tank is 2/3 empty, how many gallons remain in the tank? (help!)

Answers

Answer:

4 and 2/3 is the answer

Step-by-step explanation:

14/3= 4 and 2/3

if the diameter of the clock face is 10.5 inches, what is the radius?​

Answers

Answer:

The radius is 5.25

Step-by-step explanation:

The radius is always exactly 1/2 of the diameter!

Hope this helps! <3

Past experience shows that Mr.Reisman will have 3 left-handed students in ever class of 25 math students. If Mr.Reisman teaches 125 students in one day, what is the most likely total number of left-handed students in his classes?

Answers

Answer:

15 students

Step-by-step explanation:

125/25=5

5x3=15

Use the defined sets to answer the questions. assuming 0 is an even integer, which set is the complement to set b? which set is an empty set? which set would contain the subset e = {1, 3, 5, 7}?

Answers

The universal set contains all possible elements in the set

The complement of set B is the set D.The empty set is the set CThe set D contains the subset E = {1, 3, 5, 7}

The complement of set B

The sets are given as:

A = {x | x ∈ U and x > 3} B = {x | x ∈ U and x is an even integer} C = {x | x ∈ U and 2x is an odd integer} D = {x | x ∈ U and x is an odd integer}

Where the universal set is:

U = {all integers}

The set B is the set of all even integers.

So, its complement would be the set of all odd integers i.e. set D

Hence, the complement of set B is the set D.

The empty set

From the set definition, we have:

C = {x | x ∈ U and 2x is an odd integer}

This means that the set C contains elements 2x, where 2x is an odd number.

The element x is an integer, and twice an integer (i.e. 2x) is an even number.

This means that 2x cannot be an odd number;

Hence, the empty set is the set C;

The set that contains the subset E = {1, 3, 5, 7}

The subset E = {1, 3, 5, 7} contains odd integers.

From the set definition, set D represents the set of odd integers

Hence, the set D contains the subset E = {1, 3, 5, 7}

Read more about sets at:

https://brainly.com/question/10057967

Answer:

D,C,D

Step-by-step explanation:

On edge 2023

Please help guys love you

Answers

Answer:

1. SSS

2. SAS

3. ASA

4. ASA

Step-by-step explanation:

1. All three sides are equal.

2. Two sides are equal and the angle between the two sides is equal.

3. Two angles are the same and a corresponding angle is the same.

4. Two angles are the same and a corresponding angle is the same.

The heights of a species of plant are approximately Normally distributed, have a mean of 9.31 cm, and have a standard deviation of 0.55 cm. If 20 of the plants are randomly selected, what is the probability that the mean plant height is less than 9.5 cm?

0.0612
0.6351
0.9388
approximately 1

Answers

Using the normal distribution and the central limit theorem, it is found that the probability that the mean plant height is less than 9.5 cm is of 0.9388.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 9.31, \sigma = 0.55[/tex].

For samples of n = 20, the standard error is given by:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]s = \frac{0.55}{\sqrt{20}}[/tex]

s = 0.123.

The probability that the mean plant height is less than 9.5 cm is the p-value of Z when X = 9.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{9.5 - 9.31}{0.123}[/tex]

Z = 1.54.

Z = 1.54 has a p-value of 0.9388.

Hence the probability that the mean plant height is less than 9.5 cm is of 0.9388.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

In the equation y=2(3)^x what does the 2 represent? What does the 3 represent?

Answers

Answer:

This is an exponential function equation.

Therefore,

The 2 represents: Original amount (Y-intercept)

The 3 represents: Growth factor or (1+r)

35 Points Mark Brainliest Help​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's write the equation of line in slope point form ~

[tex]\qquad \sf  \dashrightarrow \:y - y1 = m(x - x1)[/tex]

[tex]\qquad \sf  \dashrightarrow \:y -2 = 3(x -1)[/tex]

[tex]\qquad \sf  \dashrightarrow \:y -2 = 3x - 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 3x -1[/tex]

Now, let's use this equation of line to plot two points ~

when x = 0, y = (3 × 0) - 1 = - 1

when x = -1, y = (3 × -1) -1 = -4

Now, plot these points on graph ~

(0 , -1) and (-1, -4)

Maya's math teacher said that each question answered correctly on a test would be worth 5 points. Answer the questions below regarding the relationship between the number of questions correct and the score on the test.

Answers

Where is the questions?
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