determine whether a triangle with given side lengths will be a right triangle?
19.5,12,13
20.8,15,17
21.2,4,7
22.7,24,25
23.3,9,10
24.12,13,25

Answers

Answer 1

Answer:

Step-by-step explanation:

Apply the Pythagorean Theorrem.  Find the sum of the squares of the two shortest sides and determine whether this sum equals the square of the longest side:

#19:  5^2 + 12^2 = ? = 13^2

 25  +  144  = ? = 169    This is true, so you do have a right triange in #19.

#21:  2^2 + 4^2 = ? = 7^2, or 4 + 16 = ? = 49     This is false.  Not a right

                                                                            triangle.

Apply this same approach (Pythagorean Theorem) to the remaining problems.


Related Questions

Kallisto built a rectangular sign that measured 2 and 3/4. The width is 1 and 1/4 shorter than the length. To find the area, multiply the length and width. What is the area in square feet write an equation to solve it

Answers

Answer:

l = 1 5/16

w = 1/16

A = 21/16 x 1/16 = 21/256

Step-by-step explanation:

Perimeter = 11/4

l = length

w = l - 5/4

2l + 2(l - 5/4) = 11/4

2l + 2l - -5/2 = 1/4

multiply each side by 4

8l + 8l - 10 = 11

16l = 21

l = 21/16 or 1 5/16

width = 21/16 - 20/16 = 1/16

Pete bought a house in 2009 for $200,000.
The value of his house increased by 10%
annually.

Answers

Answer:

Value of house in 2021 = $627,680 (Approx.)

Step-by-step explanation:

Given:

Value of house in 2009 = $200,000

Rate increased per year = 10% annually

Find;

Value of house in 2021

Computation:

Number of year = 2021-2009 = 12 year

Value of house in 2021 = Value of house in 2009[1+Rate increased per year]ⁿ

Value of house in 2021 = 200,000[1+10%]¹²

Value of house in 2021 = 200,000[1+0.1]¹²

Value of house in 2021 = 200,000[1.1]¹²

Value of house in 2021 = 200,000[3.1384]

Value of house in 2021 = $627,680 (Approx.)

Find the area of rectangles with the following dimensions.

a. 2 ¼ yd × ¼ yd =
b. 2 ½ ft × 1 ¼ ft = _____

Answers

Answer:

I think this is the answer I hope I have helped you

Step-by-step explanation:

a

b

The distance from the
Earth to the Moon is
238.900 miles. Earth's
diameter is 7,917 miles.
How many Earths
would fit
between Earth
and The Moon?

Answers

Answer:

30.1756...

Hope that this helps!

which lengths could represent the side lengths of a right triangle

Answers

The answer would be A.
In order to solve this you have to do Pythagorean theorem which is a(squared) + b (squared) = c (squared)

There is a population of 10,000 bacteria in a colony. If the number of bacteria doubles every 14 hours, what will the population be 28 hours from now?

Answers

Answer:

for the first 14 hours it doubles to 20,000, then once it reaches 28 hours it'll be 40,000. its an exponential growth

The population growth of bacteria after 28 hours will be equal to 40,000.

What is an arithmetic operation?

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the set of information in the question,

Total population of Bacteria = 10,000

Rate of growth of bacteria = Twice in 14 hours

Rate of growth in 28 hours = 4 times the total population.

Then the total bacteria (B) in the colony after 28 hours,

B = 4 × 10,000

B = 40,000

To know more about arithmetic operations:

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PLEASE HELP ILL GIVE BRAINLIEST, DIFFICULT ALGEBRA

Answers

The answer is in the photo if you get it wrong sorry

Grace has $500 in her bank
account. Every week she
withdraws $35. How
many
weeks
can she withdraw the money if
she wants to keep her account
above $250?

Answers

She can withdraw $35 for 7 weeks and still maintain a balance of $250 or greater

The volume of a certain cube can be found using the expression 53.
What is 53 written as a product of the same factor?


???? pls help my math test

Answers

Answer:

5×5×5

Step-by-step explanation:

hey it's your answer

have a great day dear

Answer:

5³ = 5*5*5

Step-by-step explanation:

Volume of a cube:

V = a³, a- side of the cube

If you have an expression 5³, it means 5 is multiplied by itself 3 times:

5³ = 5*5*5 = 125

Which of the following is a hard skill that a marketing manager might use on
a regular basis?
A. Using coding skills to create websites for clients
B. Using spreadsheets to plan budgets
C. Using listening skills to understand employee concerns
D. Using leadership skills to motivate a project team
SUBMIT

Answers

Answer: B. Using spreadsheets to plan budgets

Step-by-step explanation: yes

A cylinder has a diameter of 14 cm and a volume of 112 pi.

What is the height in, centimeters, of the cylinder?



(PS I am literally giving 15 points for the correct answer!!!)

HELP! :(

Answers

Height of cylinder is 2.285 centimeters

Diameter = 14 cm
Radius = 7 cm (14/2)
Volume = 112 pi

Volume of cylinder = pi(radius)^2 h
112pi = pi(7)^2 h
Divide both sides
112 = 49 h
h = 112/49
h = 2.285 centimeters

PLEASE HELP, IT WOULD BE GREAT IF SOMEONE COULD ANSWER QUICKLY AND CORRECTLY!!!!


DONT LINK ANY FILES!!!


Which expression represents the perimeter of the figure below?

Answers

Answer:

5x+2y+z

Step-by-step explanation:

just count all of the variables

Answer:

C

Step-by-step explanation:

22. Isosceles triangle EFG is shown below inscribed in circle 0. If the measure of ZGEF is 34°, determine the measure of EHG. WILL GIVE BRAINLIEST​

Answers

This would be your answer

suppose g(x)=f(x+1)+5.which statement best compares the graph of g(x) with the graph of f(x)

Answers

Answer:

g(x) : horizontal transformation to the left 1 unit and vertical transformation UP 5 units to f(x)

Step-by-step explanation:

g(x) : horizontal transformation to the left 1 unit and vertical transformation UP 5 units to f(x)

(Find the value of): (125)-2/3​

Answers

The answer is 124.333333333

Each graph below shows a relationship between x and y. For each graph, determine whether x and y are proportional. If x and y are proportional, fill in the blank with a number.

Answers

Please take a better picture to see the graph clearly /)

A triangle has an angle that measures 50 degrees. the other two angles are in a ratio of 3:10. What are the measures of those two angles

Answers

Answer:

100 degrees, 30 degrees

Step-by-step explanation:

Write an expression for the measures of the other two angles:

one angle = 3x

other angle = 10x

These are in the ratio 3:10, but you don't know the value of x YET!

Fact: all 3 angles sum to 180 degrees.

50 + 3x + 10x = 180

50 + 13x = 180

13x = 130

x = 10

Now plug this value into the two expressions for the angle measures.

one angle = 3(10) = 30 degrees

other angle = 10(10) = 100 degrees

Jason represented the values of his 35 baseball cards in a histogram and in a stern-and-leaf plot. Which of these best describes the graph and characteristic that allow Jason to find the median value of his 35 baseball cards?​

Answers

are there any choices?

Step-by-step explanation:

Suppose that when your friend was born, your friends parents deposited $2000 in an account paying 5.9% interest. What will the account balance be after 15 years?

Answers

Answer:

FV= $4,725.74

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $2,000

Number of periods (n)= 15 years

Interest rate (i)= 5.9% = 0.059

To calculate the Future Value, we need to use the following formula:

FV= PV*(1 + i)^n

FV= 2,000*(1.059^15)

FV= $4,725.74

Use algebra to show that the recurring decimal 0.2813 =
557
198

Answers

Step-by-step explanation:

tell me the answer when u get too!!

btw its 557/1980

The proof is shown in the solution.

What are recurring decimals?

A repeating decimal or recurring decimal is a decimal representation of a number whose digits are periodic, and the infinitely repeated portion is not zero.

Given that, show that the recurring decimal 0.2813 = 557 / 198

Let 0.2813 be x

0.2813 = x......(i)

2813.2813 = 10000x......(ii)

Subtracting eq(i) from eq(ii)

2813 = 999x

x = 2813 / 999

x = 557 / 198

Hence, proved

For more references on recurring decimal, click;

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8. Stan made 4 goals out of 6 attempts in soccer today. What fraction
of attempts did Stan make? Please help

Answers

Answer:

[tex]\frac{4}{6}[/tex]

Step-by-step explanation:

help needed! no links please, they're annoying.

Answers

The area of a rectangle is length*width.

The length of this 3x and the width is 2x-3. This means that, to find the area, you need to multiply 3x and 2x-3.

Start by writing out this equation:
A=l*w

Then, plug in your given values:
A= 3x*2x-3 (you can also write it as A= 3*x*2*x-3)

Then, following the order of operations, you start by multiplying. This makes your equation become A = 6x^2 -3. (^2 means squared). It turns into this because 3 * 2 is 6 and x * x is x^2 and you still haven’t used the 3 yet.

After this, there is nothing more that you can do to simplify the equation. Therefore, the area is 6x^2 - 3.

I hope this helped!

what is the value of X

Answers

Answer:

B) 24

Step-by-step explanation:

A right triangle is 90°

90-42=48

48/2=24

Answer:

24°

Step-by-step explanation:

We know that it's a right angle. First, subtract 42 from 90 (90° is a right angle)

90 - 42 = 48

Now, since there's a 2x on the other side, we need to divide 48 by 2 to get the value of x:

48 ÷ 2 = 24

Therefore, x = 24°

An actor, Bob, wants to gain weight to look the part for his role as an overweight truck driver in an upcoming movie. He decides to add servings of banana splits (S) and bacon rolls (B) to his diet. Each serving of S is 1,000 calories and each serving of B is 500 calories. Bob has a history of health problems and his doctor has recommended that he needs to control his cholesterol and sugar levels in his food intake. Each serving of S contains 1 unit of cholesterol and 3 units of sugar. Each serving of B contains 4 units of cholesterol and 1 units of sugar. His doctor recommends that his cholesterol be no larger than 10 units and his sugar levels should be at least 2 units and no larger than 9 units. What should be the objective function (C) to select the optimal choice of Sand B in order for Bob to ingest as many calories as possible? A. C = 105 + 5B B. C = 1000S + 500B C. C = S+BD. None of the above

Answers

Answer:

[tex]C = 1000S + 500B[/tex]

Step-by-step explanation:

Given

[tex]S = Banana\ Splits[/tex]

[tex]B=Bacon\ Rolls[/tex]

Reading through the question, we have:

Number of calories per serving:

[tex]S \to 1000[/tex]

[tex]B \to 500[/tex]

Let

[tex]x = Cholesterol[/tex]

[tex]y =Sugar[/tex]

So, we have:

Each serving of S

[tex]x \to 1S[/tex]

[tex]y \to 3S[/tex]

Each serving of B

[tex]x \to 4B[/tex]

[tex]y \to 1B[/tex]

Recommendation

[tex]x \to \le 10[/tex] - i.e. not more than 10 units of cholesterol

[tex]y \to \ge 2 \& \le 9[/tex] i.e. At least 2units but not more than 9 units of sugar

So, the constraints are:

[tex]S + 4B \le 10[/tex]

[tex]3S + B \ge 2[/tex]

[tex]3S + B \le 9[/tex]

Recall that the calories per serving is:

[tex]S \to 1000[/tex]

[tex]B \to 500[/tex]

Hence, the objective function is:

[tex]C = 1000S + 500B[/tex]

A polr has a shadow that is 15 feet long.Mary is 4 feet tall and her shadows is 10 feet tall how tall is the pile

Answers

Answer:

The pole is 6 feet tall.

Step-by-step explanation:

The height makes the perpendicular and the shadow makes the base of the triangle in the given question

                                Pole                       Mary

Height                         x                            4

Shadows                    15                           10

If the height is taken along y- axis and shadow is taken along x axis

Then

tan alpha = Perpendicular/ base

for Mary    Tan alpha = 4/10

For the pole = tan alpha = x/15

Comparing      x/15= 4/10

x= 4*15/10= 60/10= 6

The pole is 6 feet tall.


Find the value of x

Answers

Answer:

3

Step-by-step explanation:

bigger triangle is the special 5 12 13

so the hypotenuse is 13

the smallest side is 5

and the medium side is 12

sincd the sides of the smaller triangle are 4 and 5

x must be 3 because of 3 4 5 triangles

What is the value of the y-coordinate of point A

Answers

Answer:

there's no pic

Step-by-step explanation:

can you re attach it plz I might be able to help

Twenty-four pairs of adult brothers and sisters were sampled at random from a population. The difference in heights,
recorded in inches (brother's height minus sister's height), was calculated for each pair. The 95% confidence interval
for the mean difference in heights for all brother-and-sister pairs in this population was (-0.76, 4.34). What was the
sample mean difference from these 24 pairs of siblings?
O-076 inches
O O inches
O 179 inches
O 4.34 inches

Answers

Answer:

C) 1.79

Step-by-step explanation:

Just got it right on edge 2022

Batteries cost $3.65 / pack. How many packs did Mark buy if he spent $36.50?

Answers

Answer: 10 packs

Step-by-step explanation:

36.50/3.65=10

Probability of getting 2 hears and 1 diamond in the first draw of 52 cards

Answers

Answer: 26/52

Step-by-step explanation:

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