Can a right triangle be formed using these squares?
25, 144, 169

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

The two smaller squares have a sum of 169 which is the value of the larger square.

a^2 + b^2 = c^2

25 + 144 = 169

It can be done. Notice the figure below shows you how to arrange the squares to give the answer of a^2 + b^2 = c^2

Answer 2

Answer:

Yes, if we take the square roots of 25, 144 and 169 (5, 12, 13)

Not by using those measures as is (sides of a triangle with 25, 144 and 169).

Explanation:

A right triangle is a triangle with an angle of 90 degrees, and the side facing that angle of 90 degrees is called an hypotenuse.

The hypotenuse measurement squared is equal to the squared measurements of the other two sides:

c² = a² + b²

And those squares do verify the equation:

169 = 144 + 25

So, that's a rectangle (right) triangle, with sides measuring 5, 12 and 13.

Hope this helps :)


Related Questions

Which is the solution to the inequality 2 3/5 < b -8/15

A. b < 2 1/15

B. b > 2 1/15

C. b < 3 2/15

D. b > 3 2/15

Answers

Answer:

D. b > 3 2/15

Step-by-step explanation:

Below are two solutions for finding BC. Which is incorrect? Explain the error
A. B.
DE = 0.5 BC BC = 0.5 DE
47 = 0.5 BC BC = 0.5 (47)
94 = BC BC = 23
Will mark BRAINLIEST !!!!!!!

Answers

Step-by-step explanation:

yfsycdhfvjcdkjfulggktndrkjdhhdymvsj

HEREEE lol!!<3! Xbnxxjzn

Answers

Answer:

hope it helps

Step-by-step explanation:

.............

WILL GIVE BRAINLIEST help me with this question pls:)

Answers

Answer:

45.5

Step-by-step explanation:

4x-2=180

4x=182

x=45.5

Answer:

45.5

Step-by-step explanation:

BASKETBALL The standard width of a high school basketball court is 50 feet. If 1 meter = 3.3 feet, what is the width of the basketball court in meters? Round to the nearest tenth, if necessary. 0.066 meters Check Answer Done and RC 2021 McGraw-Hill Education. All Rights Reserved. Privacy and Cookies | Terms of Use | Minimum Requirements | Platform Status​

Answers

Answer:

15.2 meters

Step-by-step explanation:

50 ÷ 3.3 = 15.15

1 meter= 3.3 feet, so when BASKETBALL The standard width of a high school basketball court is 50 feet. then width is 15.15 meters of the basketball court in meters.

What is 1 meter in feets?

1 meter= 3.3 feet

Given width of high school basketball is 50 feet and1 meter = 3.3 feet.,

We need to find the value of 1 feet.

1 feet= 1meter/3.3

1 feet=0.3030

Now to calculate 50 feet , we need to multiply 50 with 1 feet.

50*0.3030=15.15Meters

Therefore 15.15 meters is the width of the basketball court in meters.

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Question Help

Marsha deposited $5,500 into a savings account 2 years ago. The simple interest rate is 4%. How

much money did Marsha earn in interest?

Substitute the values into the equation.

Answers

The earned $440 in interest depositing $5500 for 2 years at 4% rate of interest.

What is simple interest?

We know simple interest (SI) is given by SI = (p×r×t)/100, where

p = principle, r = rate in percentage, and t = time in years.

Simple interest is often a predetermined percentage of the principle amount borrowed or lent paid or received over a specific time period.

Given, Marsha deposited $5,500 into a savings account 2 years ago at 4% simple interest.

So, p = 5500, r = 4 and t = 2.

Therefore,

SI = (5500×4×2)/100.

SI = 440.

So, Marsha earned $440 in interest.

learn more about simple interests here :

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Write an equation that represents the line.
Use exact number ?

Answers

Answer:

what have we nothing to go buy

Answer:

y=(-4/3)x+2

Step-by-step explanation:

we have two points (3,-2) and (0,2)  given from the statement

the equation of the lines is:

y=mx+b

m=slope

m=(y2-y1)/(x2-x1)

m=(2-(-2))/(0-3)

so we have the slope is

m=4/-3  =-4/3  =-1.3333

we need to find "b"

using the point (0,2)

we have :

2=m*0+b

2=b

finally, we have  

the answer is y=(-4/3)x+2

the number 18 is which percent of 15?
A 80%
B 83%
C 117%
D 120% ​

Answers

Answer: D 120%

Step-by-step explanation:

the product of y and 38,, divided by 2

Answers

Answer:

I say that its 19 i think

Step-by-step explanation:

Answer:

(y×38)÷2

Step-by-step explanation:

I don't k if this is the answer you're looking for, but hope this helps!

WILL GIVE BRAINLIEST TO YOU!!! I have two equations, Equation A and Equation B. When I try to solve the system, I get no solution. What can you tell me about the graphs of Equation A and Equation B?

I have two more equations, Equation C and Equation D. When I solve this system, I get infinitely many solutions. What can you tell me about the graphs of Equation C and Equation D?

Answers

For the 1st one, the equations never intersect. There is only 1 case where the lines never intersect and that is when they are parallel. So the 1st one is that they are parallel. A and B are parallel when graphed.

For the 2nd one, the lines are always intersecting. This means that C and D are the same line when graphed.

Answer:

see explanation

Step-by-step explanation:

The solution of equations given graphically is at the point of intersection of the 2 lines.

No solution indicates that there is no point of intersection, thus the graph of A and B are parallel lines which never intersect.

B

Infinitely many solutions indicates that the graph of C and D lie on the same line.

when you flip a biased coin the probability of getting a tail is 0.2. How many times would you expect to get tails if you flip the coin 180 times?​

Answers

Answer:

Step-by-step explanation:

T : H

2 : 10 = 12 [ 180/12 = 15]

30: 150

30/ 150 x 100 =  20 Percent chance of Tails

Victoria is remodeling her house and she decides to paint a wall. She was able to cover 478.3 inches with the paint that she had. She figures out that this is only 92% of the total wall. How much space, in inches, does she have to paint total, including what she has already painted?

Answers

92% of the total space = 478.3 inches, let S represent the total space...
S x .92 = 478.3
divide both sides of the equation by .92 to solve for S...
S = 519.89

I need help with this question..

Answers

Answer:

you have to right how aed and acd are simaler

Step-by-step explanation:

you should draw the triangle and define the AED and ACD and compare and contrast.

What is the GCF Of 292 and 219

Answers

73 is the GCF or HCF of 292 and 219, hope thsi helps

what is the y intercept of x+ 7y = 35

Answers

Answer:

5

Step-by-step explanation:

get the equation into slope intercept form, y = mx +b

where b is the y-intercept

subtract x from both sides

7y = -x + 35

divide 7 from both sides

y = -1/7 x + 5

thus b = 5

Answer:
5

Explanation:
A linear equation is typically organized in the form y=mx+b. In this equation, b represents the y-intercept. Our goal is to rearrange the given equation into this form to identify b.

x+7y=35
Subtract both sides by x
x+7y-x=-x+35
7y=-x+35
Divide both sides by 7
7y/7=-1/7x+35/7
y=-1/7x+5

Now, we can tell clearly that the y-intercept of the equation is 5.

I hope this helps!

Find the sum of the first 8 terms of the series 3 + 6 + 9 + …, given that a8 = 24.

Answers

Step-by-step explanation:

You want to use the sum of an arithmetic sequence formula.

(a1 + an) × n/2

a1 is the first term and an is the last term. n is the number of terms.

In this case: (3+24) × 8/2 = 27×8/2 = 27×4 = 108

The sum of the first 8 terms of the series 3 + 6 + 9 + ... is 108.

To find the sum of the first 8 terms of the series, we need to find the common difference (d) and then use the formula for the sum of an arithmetic series.

Given that [tex]\(a_8 = 24\)[/tex], we can see that the 8th term is 24.

The formula for the nth term of an arithmetic series is [tex]\(a_n = a_1 + (n-1) \cdot d\)[/tex], where [tex]\(a_n\)[/tex] is the nth term, [tex]\(a_1\)[/tex] is the first term, and d is the common difference.

Substitute n=8 and [tex]\(a_n=24\)[/tex] into the formula:

[tex]\(24 = 3 + (8-1) \cdot d\)[/tex]

Simplify the equation:

[tex]\(24 = 3 + 7 \cdot d\)[/tex]

Now, solve for d:

[tex]\(7d = 24 - 3\)\\\\\(7d = 21\)\\\\\(d = \frac{21}{7} = 3\)[/tex]

Now that we have the common difference d = 3, we can use the formula for the sum of an arithmetic series:

[tex]\(S_n = \frac{n}{2} \cdot (a_1 + a_n)\)[/tex]

Substitute [tex]\(n=8\)[/tex], [tex]\(a_1=3\)[/tex], and [tex]\(a_n=24\)[/tex] into the formula:

[tex]\(S_8 = \frac{8}{2} \cdot (3 + 24)\)\\\\\(S_8 = 4 \cdot 27\)\\\\\(S_8 = 108\)[/tex]

So, the sum of the first 8 terms of the series is 108.

To know more about series, refer here:

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What is the slope of any line parallel to the y-axis in the
(x, y) coordinate plane?
F. -1
G. O
H. 1
J. Undefined
K. Cannot be determined from the given information

Answers

Answer:

A line parallel to the y-axis in the (x, y) coordinate plane is undefined.

Hence, option J is correct.

Step-by-step explanation:

We know that the slope of a vertical line on a coordinate plane is undefined.

We also know that a line parallel to the y-axis is basically a vertical line.

Therefore, a line parallel to the y-axis in the (x, y) coordinate plane is undefined.

Hence, option J is correct.

EXAMPLE

For example, considering the two points of a line

(x₁, y₁) = (1, 3)

(x₂, y₂) = (1, 5)

Determining the slope between (1, 3) and (1, 5)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

              =  [5 - 3] / [1 - 1]

               = 2/0

               = ∞ or undefined

Thus, the slope of the line = m = undefined

Thus, the equation of a line parallel to y-axis passing through the points (1, 3) and (1, 5) will be:

x = 1

Please also check the attached graph.

What shod be in the box 3/10 × (box)=1​

Answers

Answer:

0.333333333

Step-by-step explanation:

0.333333333×0.3=1

3/10=0.3

Can someone plz help me asap ​

Answers

Answer:

y = 12x - 9

Step-by-step explanation:

Given

- 1/3y + 4x = 3

Multiply all terms by -3

y - 12x = -9

Add 12x to both sides

y = 12x - 9

what's the answer to -2/-5x=10

Answers

Step-by-step explanation:

[tex] \frac{( - 2)}{( - 5x)} = 10 \\ \\ \frac{2}{5x} = 10 \\ \\ 2 = 10 \times 5x \\ 2 = 50x \\ \\ x = \frac{2}{50} \\ \\ x = \frac{1}{25} [/tex]

( -5x÷(-5)=10÷(-5)

x=-2

. Laura and Alicia both exercise 5 days a week. Laura exercises for 30 minutes each day. Alicia exercises for 45 minutes each day. How much longer does Alicia exercise than Laura each week?. Laura and Alicia both exercise 5 days a week. Laura exercises for 30 minutes each day. Alicia exercises for 45 minutes each day. How much longer does Alicia exercise than Laura each week?

Answers

Answer: 1 hour 15 minutes

Step-by-step explanation:

From the question, we are informed that Laura and Alicia both exercise 5 days a week and that Laura exercises for 30 minutes each day. For the 5 days, she'll exercise for:

= 5 × 30 minutes

= 150 minutes

= 2 hours 30 minutes

Alicia exercises for 45 minutes each day. Fir the 5 days, she'll exercise for:

= 5 × 45 minutes

= 225 minutes

= 3 hours 45 minutes

We then calculate the difference in their exercise per week which will be:

= 3 hours 45 minutes - 2 hours 30 minutes

= 1 hour 15 minutes

If you have 1000 dollars Canadian how many do you have American? Explain

Answers

Answer:

787.27 USD

Step-by-step explanation:

Write a linear equation in point slope form when given the point (2,3) and a slope of 2/3.



Please help

Answers

Answer:

76

Step-by-step explanation:

hey bestie

You want to buy a large toilet paper company, but you need to take out a loan to cover the cost. If you borrow $12,000 at a 3.5% interest rate, how much interest will you owe in 5 years?

Answers

Answer: You will owe $1,098.06 in intrest.

Can someone please help me with this? Thank you!

Answers

Answer:

it's too blury i can't see

Step-by-step explanation:

1. Prakrit bought a pack of paper for $5.69
and printer toner for $9.76. He paid with
a $20 bill. What was his change?

Answers

Answer:

$4.55

Step-by-step explanation:

20-5.69-9.76=$4.55

What is 3/4 of 40?
This is 5th grade level it’s for my sister and I don’t really remember this.

Answers

Answer:

30

Step-by-step explanation:

there's a few different ways of solving this:

1)

3/4 = 0.75

0.75 * 40

30

2)

divide 40 by 4 and then multiply by 3

40/4

10

10 * 3

30

3)

[tex]\frac{3}{4} *\frac{40}{1}[/tex]

the 4 and 40 cancel out

[tex]\frac{3}{1}* \frac{10}{1}[/tex]

3 * 10 = 30

[tex]\frac{30}{1}[/tex] = 30

Solve.
7 pounds x 16 ounces =
pounds plz hero

Answers

The answer is 7 pounds because 16 ounces is equal to 1 pound so 7 pounds times 1 pound would equal 7 pounds.

Find the sum of −(23)x−8 and 35x−4 .

Answers

Step-by-step explanation:

֊23x-8+35x-4=12x-12

hshsusbsusbwhw

Answer:

-1/15x-12

This is right, I even double checked it! ; )

Hope this helped!

Thanks!

Plz give me brainliest!

ace autos sells cars and pay sue each month

Answers

Sue's total pay of year will have three parts
1) Fixed Salary for 12 months
one month salary = £1410
so 12 month salary = £1410 x 12 = £16920
2) 26% of total profit
Total cost to the company- £473,500
Total income for the company - £549,000
Profit = Total income for the company - Total cost to the company
= £549,000 - £473,500 = £75500
Sues income from profit = 26% of £75500 = (26 × 75500)/100 = £19630
3) Bonus if Sue sells at least 16 cars
Given number of months when sue solds atleast 16 cars = 4
So bonus income = 4 × 390 = £1560
Adding the three above parts
Sue's total pay for the year = £16920 + £19630 + £1560 = £38110
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