A triangle has sides 12cm, 9cm and 15cm. Is the triangle right-angled? Justify your answer

Answers

Answer 1

Answer:

yes

Step-by-step explanation:

Yes this triangle is right angled and can be justified using the Pythagorean theorem. The theorem states that: [tex]a^{2} +b^{2} = c^{2}[/tex]. Substitute using the given values:

(9^2)+(12^2)=15^2

81 + 144 = 255

255 = 255.

It satisfies the theorem therefore it is a right angle triangle.


Related Questions

Find the value of x.
65°
127°
35°
to

Answers

x Seems To Be An Obtuse Angle So The Answer Should Be 127°
looking at this picture i’d say 127°


Asha is tiling the lobby of the school with one-foot square tiles. She has 6 bags
of tiles with 50 tiles in each. The lobby is a 30-foot by 8-foot rectangle. How
many tiles will Asha have left over after she tiles the lobby?

Answers

Answer:

60 tiles left over

Step-by-step explanation:

the lobby needs 30 x 8 = 240 tiles.

she has 6 x 50 = 300 tiles

300 - 240 = 60 left over

If (×+1 ) and(×+2) are factors of the expressionx^4+ax^2+b , find the value of and b, with these value of and factorize completely.​

Answers

Answer:

Step-by-step explanation:

(x⁴+ax²+b) ÷ (x+1) = x³-x²+(a+1)x-(a+1) remainder b+(a+1)

Since x+1 is a factor, b+(a+1) = 0.

(x³-x²+(a+1)x-(a+1)) ÷ (x+2) = x²-3x+(a+7) remainder -3a-15

Since x+2 is a factor, -3a-15 = 0

a = -5

b = 4

x⁴+ax²+b = x⁴ - 5x² + 4 = (x²-4)(x²-1) = (x+2)(x-2)(x+1)(x-1)

An artist can paint
23,760 square feet in
12 hour. How many
square feet can they
paint in 2 hours?


also i need to justify my answer so give me the steps and what to rught

Answers

Answer:

23,760/12=1980

1980x2=3960

20 10
40
30.
15
40
70
25
20
30
100
40
50​

Answers

60? I don’t know what this mean

In a certain tropical forest, litter (mainly dead vegetation such as leaves and vines) forms on the ground at the rate of 10 grams per square centimeter per year. At the same time, however, the litter is decomposing at the rate of 80% per year. Let f(t) be the amount of litter (in grams per square centimeter) present at time t. Find a differential equation satisfied by f(t).

Answers

Answer:

df(t)/dt = 10 - 0.8f(t)

Step-by-step explanation:

The net rate of change, df(t)/dt = rate in - rate out

The rate in = rate litter forms on ground = 10 g/cm²/yr

Since f(t) is the amount of litter present at time, t, in g/cm² the rate out = rate of decomposition = the percentage rate × f(t) = 80% per year × f(t) = 0.8f(t) g/cm²/yr

Since df(t)/dt = rate in - rate out

df(t)/dt = 10 - 0.8f(t)

So the desired differential equation is

df(t)/dt = 10 - 0.8f(t)

Please help if not that’s fine no nonsense

Answers

Answer:

B) 54 and 54

Step-by-step explanation:

72 + x + x = 180

2x + 72 = 180

2x = 180 - 72

2x = 108

x = 54

what is the name of this figure plz help

Answers

its a triangle no? just  3D

The answer is Triangular prism

Write a ratio for the perimeter to the Area
Length=3 cm
Height= 10 cm

Answers

Answer:

3:10

Step-by-step explanation:

The answer will end up being 3:10

sum of the age of son and his father is60 and the six year ago the age of father is five time the son what is the age son ?​

Answers

Step-by-step explanation:

...hope it help u.... ..

13. Find the measure of arc JK.
J
I
K
70°
L

Answers

B14 B14 hhggffffggy B14 B14 B14 hhggffffggy B14 B14 B14 hhggffffggy B14
Half of a circle arc is 180 because 360/2=180 so

180-70=110

9. Zuleyka compró una bicicleta por $149. Pagó un pronto de $50. Si pagó $9
semanalmente, ¿cuántas semanas le tomó a Zuleyka pagar la cantidad completa de la
bicicleta? *
(1 Point)
OA.
5
B В
9
C
11
D
16

Answers

Answer:

h s m s dhoni bold sin men farhan akhtar ne

Please help me with this :)

Answers

[tex]hope \: it \: helps[/tex]

2.75 round to the nearest hundreth

Answers

Answer:

Its already rounded. Rounded to tenths place would be 2.8

Step-by-step explanation:

5 or higher makes you round up. if its a 4 or lower it would stay the same.

Find each missing measure.

Answers

Answer:

∠x = 32°

∠y = 58°

∠z = 32°

Step-by-step explanation:

∠x = 180° - 148° = 32°  

∠z = 32° because it is vertical to ∠X (32°)

∠y = 90° - 32° = 58°

Explain why this equals that please!

Answers

Answer:

[tex]\frac{5^3s^3t^6}{s^4 x 50t}[/tex]

After that, all terms reduce as follows: the [tex]5^{2}[/tex] with the 25 in 50, the s at the numerator with the s in the denominator, and a t from the denominator with one unit from the exponent of t in the numerator.

If Sheyenne walked 8 miles in 2 hours what was her speed?

Answers

Answer:

4 miles per hour

Step-by-step explanation:

Answer:

4mph

Step-by-step explanation:

8 divided by 2 and boom the answer.Hope this helps.

At the end of the first day three of the cricketers scored these runs 28, 61 and 39
The man adds them together and the total score is 128
But his friend checks his calculation by using approximation
Show how the friend used approximation to check the calculation

Answers

Answer:

His friend took one from 61 and added it to 39. That made it easy to mentally add 40 and 60 to get 100. Then he mentally added 28 to 100 to get 128.

evaluuate 9-b when b=8

Answers

Answer:

[tex]\huge\boxed{\sf 1}[/tex]

Step-by-step explanation:

Given the expression:

= 9 - b

Given that b = 8

= 9 - 8

= 1

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Okay so we are asked to solve 9 - b, and we are told that b=8

Therefore this is just a matter of substitution:

9 - b

Substitute 8 for b:

9 - 8

Now just finish solving:

1

Therefore, the answer is 1

Hope this helped :)

There were 58 birds in a tree.B of the Birds flew away.Choose the expression that shows how many birds are in the pond now.
A. B + 58
B. 58 - b
C. b - 58
D. 58 + b

Answers

Answer:

B. 58 - b

Step-by-step explanation:

58 goes in the front, since that is how many birds were there at the start. If B birds flew away, then some are leaving which means the equation would be subtracting by B.

B.58 - b there were 58 birds out of them b birds fllew away so its 58- B im 100% sure

The attendance at a baseball game was 400 people. Adult seats sold for $15 and children seats sold for $10. Total ticket sales were $4560. How many of each type of ticket were sold?

Answers

Answer:

112 adult and 288 children

Step-by-step explanation:

x= adult seats

y= children seats

15x + 10y = 4560

x + y = 400 --> y=400-x

so plug 400-x for y in the other equation

15x + 10(400-x)= 4560

now solve this equation

15x + 10(400-x)= 4560 --> 15x + 4000-10x= 4560 --> 15x -10x = 560 --> 5x=560 --> x = 560/5 --> x= 112

now plug in 112 for this equation (x+y=400) --> 112+y=400 --> y= 288

What is 1,650,000,000 in scientific notation?

Answers

Answer:

[tex]1.65*10^{2}[/tex]

Step-by-step explanation:

WILL GIVE BRAINLIEST

Answers

b! you can even look up pythagorean triples to check :)
The correct answer would be B. (3, 4, 5)

A researcher wants to know if there is a relationship between the number of shopping centers in a state and the retail sales (in billions $) of that state. A random sample of 8 states is listed below. After determining, via a scatter-plot, that the data followed a linear pattern, the regression line was found. Using the given data and the given regression output answer the following questions.
State Num Sales
1 630 15.5
2 370 7.5
3 616 13.9
4 700 18.7
5 430 8.2
6 558 13.2
7 1200 23.0
8 2976 87.3
1. What is the equation of the regression line?
2. Interpret the slope in the context of the problem.
3. Find the coefficient of determination.
4. Interpret the meaning of R2 in the context of the problem.
5. State the hypotheses to test for the significance of the regression equation.
6. Is there a significant relationship between dependent and independent variables at alpha=0.05? Why?
7. Use a 95% prediction interval to predict the sales for a state with 100 shopping centers
Paste the table with the results of regression analysis.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Num shopping centers (X) :

630

370

616

700

430

558

1200

2976

Sales (Y) :

15.5

7.5

13.9

18.7

8.2

13.2

23.0

87.3

The regression equation obtained using the online regression calculator is :

y = 0.03025X - 4.87014

2.) The slope value, for every unit change in number of shopping centers, the number of sales increases by 0.03025

3.)

The Coefficient of determination (R²) as obtained by the R² value calculator is : 0.9823

4.)

About 98%  of variation in number of sales is explained by the regression line

5.)

Correlation Coefficient = 0.9911

H0 : p ≥ 0.99

H1 : p < 0.99

Question 6 (5 points)
Which of the following statements is true for 6.24?
O A) It's irrational because 6.24 =
68/33
OB) It's irrational because 6.24 =
= 60/25.
OC) It's rational because 6.24 = 68/33.
OD) It's rational because 6.24 =
66/25.

Answers

Answer:

C

Step-by-step explanation:

it's rational because 6.24 can be 68/33

sorry if I'm wrong!!

the answer is c because 6.24= 68/33

Mrs. Garcia’s students were asked to find 220% of 75. Each of the students had a different method.

Amy: “I multiplied 2.20 by 75 to find my answer.”

Braden: “I created a table with columns for 100%, 100%, 20%, and 220%. Then I filled in the table and added the values.”

Colton: “I created a table with columns for 100%, 10%, 10%, and 220%. Then I filled in the table and added the values.”

Danielle: “I divided 75 by 5 to find 20%. Then I added 75 twice to what I found to get my final answer.”

If all of the students completed their steps accurately, which student got the answer wrong?
Amy
Braden
Colton
Danielle

Answers

ok for the people who dont wanna do the link thing the answer is C : colton

HOPE THIS HELPS :))))) xx

Answer:

c, colton is wrong

Step-by-step explanation:

i got it right on edge 2020

The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long. Any washers that do not meet this requirement must be discarded. What percentage of washers will the factory have to discard

Answers

Answer:

32%

Step-by-step explanation:

Let x be the mean of the values and σ their standard deviation.

Since the minimum value of the diameter of the washers is 1.53 mm, then

x - σ = 1.53 mm  (1)

Also, the maximum value of the diameter of the washers is 1.65 mm, then

x + σ = 1.65 mm  (2)

Adding (1) and (2), we have

x - σ = 1.53 mm

+

x + σ = 1.65 mm  

2x = 3.18

x = 3.18/2

x = 1.59 mm

Subtracting (1) and (2), we have

x - σ = 1.53 mm

-

x + σ = 1.65 mm  

-2σ = -0.12

σ = -0.12/-2

σ = 0.06 mm

Since the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range. The other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%

This question is based on the percentage. Thus, 32%  of washers will the factory have to discard.

Given:

The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long.

We need to determined the percentage of washers will the factory have to discard.

According to question,

Let x be the mean and σ be their standard deviation.

The minimum value of the diameter of the washers is 1.53 mm.

Then,

x - σ = 1.53 mm  (1)

Also, the maximum value of the diameter of the washers is 1.65 mm, then

x + σ = 1.65 mm  (2)

Adding (1) and (2), we have

   x - σ = 1.53 mm  

+  x + σ = 1.65 mm  

⇒ 2x = 3.18

We get,

x = 1.59 mm

Subtracting (1) and (2), we have

 x - σ = 1.53 mm

- x + σ = 1.65 mm  

⇒ -2σ = -0.12

We get,

σ = 0.06 mm

Therefore, the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range.

And the other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%.

Thus, 32%  of washers will the factory have to discard.

For more details, prefer this link:

https://brainly.com/question/13703753

Question 1 Arecipe for a chicken and rice dinner calls for 3 cups of rice for every 2 pounds of chicken. Select the true statement at There are 3 cups of rice for every 5 pounds of chicken. C B The ratio of pounds of chicken to cups of rice is 2 to 3. С The ratio of cups of rice to pounds of chicken is 2:1. D The ratio of pounds of chicken to cups of rice is 3.2. nate Education, Inc.​

Answers

Answer:

The ratio of pounds of chicken to cups of rice is 2 to 3.

Step-by-step explanation:

3 rice: 2 chicken

3:2 ratio

can be written either number first

Which intervals are most appropriate for a histogram
displaying the mileage ratings?
The list shows the mileage rating (in mpg) for some 2019
vehicles with all-wheel or four-wheel drive.
11, 13, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 18,
18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21,
21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 24, 24,
24, 24, 24, 24, 25, 25, 25, 26, 26, 26, 27, 27, 27, 28, 29,
30, 31, 32, 33, 34
O 0-15, 15-30, 30-45
O 0–20, 20-40, 40-60
O 10-15, 15-20, 20-25, 25-30, 30-35
O 0-5,5–10, 10-15, 15-20, 25-25, 25-30

Answers

Answer:

C. 10–15, 15–20, 20–25, 25–30, 30–35

Step-by-step explanation:

Need help on this question

Answers

Answer:

Step-by-step explanation:

arc between cars = 360°/25 = 14.4°

θ = 14.4° × π/180 ≅ 0.2512 radian

r = 150/2 = 75 ft

s = rθ = 75×0.2512 = 18.84 ft

area of circle = πr² = 75²π ≅ 17,662.5 ft²

area of sector = 17,662.5/25 = 706.5 ft²

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