Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one angle of 90°. The length of the longest side of the triangle is not known. How many different triangles can be drawn with these dimensions? Explain your reasoning.

Answers

Answer 1

Step-by-step explanation:

Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one angle of 90.

If one of the angle is 90 degrees, it would mean that he has drawn a right angle triangle.

Hypotenuse is the longest side of the triangle. We can find it using Pythagoras theorem as follows:

[tex]h=\sqrt{5^{2}+12^{2}}\\\\=13[/tex]

The longest side is 13 cm.

If we keep the longest side the same and if two sides i.e. 5 cm and 12 cm are replaced, a new triangle can form.


Related Questions

The length of a room is 4 feet less than twice its width. The perimeter of the room is 58 feet. What is the length of the room?

Answers

Answer:

Length = 18

Step-by-step explanation:

Length= 2w - 4

Perimeter= 58

Perimeter= 2L + 2w

58 = 2(2w-4) + 2w

58 = 4w -8 + 2w

58 = 6w - 8

66 = 6w

11 = w

Plug in width to find the variable L

58 = 2L + 2(11)

58 = 2L + 22

36 = 2L

18 = L

How does the graph of f(x) = |x| compare with the graph of g(x) = −2|x|? Select all that apply.

A. The graph of g is a vertical compression of the graph of f.
B. The graph of g is a vertical stretch of the graph of f.
C. The graph of g is a reflection over the x-axis of the graph of f.

Answers

Answer:A

Step-by-step explanation:

Using translation concepts, it is found that the corrects options are:

B. The graph of g is a vertical stretch of the graph of f.

C. The graph of g is a reflection over the x-axis of the graph of f.

What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the functions are:

[tex]f(x) = |x|[/tex]

[tex]g(x) = -2|x|[/tex]

g is the function of f multiplicated by -2, hence:

It is a vertical stretch, as it is multiplied by a value with absolute value greater than 1.It is multiplicated by a negative value, hence it is reflected over the x-axis.Hence, options b and c are correct.

You can learn more about translation concepts at https://brainly.com/question/13671886

Type the correct answer in each box. Use numerals Instead of words. If necessary, use / for the fraction bar(s).
Complete the inverse function for the function glven below.

Answers

Answer:

0.5x + 2

Step-by-step explanation:

You switch x and y and then solve for x to find the inverse.

Use your trendline to find the temperature of your Spaghettios after 40 minutes. Is this an example of interpolation or extrapolation?

NEED HELP ASAP WITH SHOWN WORK!!!!!!!!!!!!

Answers

Answer:

in 40 minutes, 15 degrees Farenheit  will be e

Step-by-step explanation:

Which values from this set {−30, −20, −10, 0, 10, 20} satisfy this inequality?

−1/5x+3 ≤ 7
please solve asap im so confused

Answers

Answer:

Step-by-step explanation:

-1/5 x+3 ≤7

-1/5 x≤7-3

-1/5 x≤4

x≥-20

{-20,-10,0,10,20}

I need help. Please answer if u do know

Answers

Answer:

i think is (-3,2) because it look like in negative and posted

tom swims at a rate of 50 meters in 40 seconds at this rate how many meters can he swim in 1 minute

Answers

Answer:

75

Step-by-step explanation:

I need help please thank you

Answers

Answer:

its b i think

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

They can't add 5 into it because they are not like terms if it was 5h instead then yes you could but it is just 5.

3/8 divided by 2/3.

Answers

Answer:

Fraction: 9/16

Decimal: 0.563

Write an equation of the line that passes through (4,-2) and is parallel to y=1/2x -7

Answers

Answer:

5 x - 6 y - 8 = 0.

Step-by-step explanation:

pleaseeee helpppppp !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

6.85565

Step-by-step explanation:

what is -4 (-6x + 3) = 12

Answers

Answer: x = 1

Step-by-step explanation:

Simplifying

-4(-6x + 3) = 12

Reorder the terms:

-4(3 + -6x) = 12

(3 * -4 + -6x * -4) = 12

(-12 + 24x) = 12

Solving

-12 + 24x = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '12' to each side of the equation.

-12 + 12 + 24x = 12 + 12

Combine like terms: -12 + 12 = 0

0 + 24x = 12 + 12

24x = 12 + 12

Combine like terms: 12 + 12 = 24

24x = 24

Divide each side by '24'.

x = 1

Simplifying

x = 1

Answer:

Step-by-step explanation: heyy... the pic attached below shows all the steps with a brief explanation. I hope it helps u !!!

Pleeeeeaaaasee help

The difference of a number and 8 is 46 less the number. Find the number​

Answers

Answer:

54

Step-by-step explanation:

what u gotta do is add 46 with 8 and you can check my answer with 54-46=8

difference means you subtract

sum means you add

product means you multiply

and quotiant means you divide

The required number is 27.

Given that,
To determine the number the difference of a number and 8 is 46 less than the number

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the number be x
The difference between a number and 8 is 46 less than the number
8 - x = x - 46
2x = 54
x = 27

Thus, the required number is 27.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

What is the slope of the line?​

Answers

Answer:

- 7/4

Step-by-step explanation:

1) (y2 - y1)/(x2 - x1)

2) pick two points, mine were (1,-3) and (-3,4)

3) Substitute the values (4+3)/(-3-1)

4) Solve and no matter what points you’ll get -7/4

Please help ASAP !!
Please help ASAP !!
Please help ASAP !!

Answers

just multiply!!!!!!!!!!!!!

Answer:

7/50

Step-by-step explanation:

That is the simpliest fraction. Hope dis helps

ok how is every ones day ok what is 12345 times 23456=

Answers

The answer is 289,564,320. Have a nice day and Happy Holidays

Write the verbal phrase as a algebraic expression
three times the sum of a number and 1

Answers

3 (n + 1) (expression)

3n + 3 (expression simplified)

The price of a leather coat is $150.00 plus 8% sales tax. What is the sales tax on the leather coat?

Answers

Answer:

$12

Step-by-step explanation:

To find this, you just need to find 8 percent of 150. You can do this by multiplying 150 by .08, or multiplying 150 by 8/100.

Factor the polynomial f (x) = x3 – 19x + 30 if x – 3 is a factor.

Answers

Answer:

Step-by-step explanation

By Using Synthetic Division Method:

3                   1    0    -19    30

                          3      9    -30

                    1     3    -10    0

factorise: (x^2+3x-10)(x-3)

                =(x+5)(x-2)(x-3)

Answer:

ITs B on edge

Step-by-step explanation:

cause i said so cuzzzz

simplify
plz explain

Answers

Answer: [tex]\sqrt{7}[/tex] divided by 2

Step-by-step explanation:

[tex]\sqrt{4}[/tex] becomes 2 .2 [tex]\sqrt{28}[/tex] becomes 2 x 2[tex]\sqrt{7}[/tex], which would equal 4 [tex]\sqrt{7}[/tex]. Then I think you simplify the 2 and four ( 2/4 ), making the equation 1/2 x [tex]\sqrt{7}[/tex]. 1 x [tex]\sqrt{7}[/tex] would equal [tex]\sqrt{7}[/tex]. So I think the answer would be [tex]\sqrt{7}[/tex] divided by 2.

The price of a ticket, in dollars, on the local commuter train can be determined from the expression 2.75 + 0.50(s), where s is the number of stops for which the passenger will be on the train. Use this expression to find the price of a ticket to ride the train for 13 stops.

Answers

Answer:

$9.25

Step-by-step explanation:

2.75+ .5(13)

.50 (13)= 6.5

6.5 +2.75= 9.25

A shop is offering a 15% reduction on the price of a computer .The original price of the computer was $670.what is its reduced price?​

Answers

Answer:

$569.50

Step-by-step explanation:

15% deduction from the initial price(100%) will have us remaining with 85%

100% = 670

85% = 85% x 670

                100%

= $569.50

Pl help me I will give Brainly

Answers

Answer:

Both gyms charge the same after 2 months and LA fitness has a greater initial fee.

I need the answer for this equation

Answers

Answer:

c

Step-by-step explanation:

Answer:

It’s... d or c

Step-by-step explanation:

I think

(0,0)
M is the midpoint of CD. If the midpoint M
is (-3, 5) and C is (2,3), then what are the
coordinates of D?
O
(-1/2,4)
(-8,7)
o
(-4,1)

Answers

Answer:

The answer is (3-,5) watch is C cause if you do that but in math form it's the same

Which equation best represents the relationship between x and y in the graph?
y
A. O y = 4x - 1
B.Oy = 12-1
C.
y = 4x + 1
DO g =
1x +1

Answers

u3uwi2i2i3ij3j3ui

Step-by-step explanation:

ii3jj3i3i3i3i3i3ii3u3ieu so

What is the percent of change from 5,000 to 9,000?

Answers

Answer:

40%

Step-by-step explanation:

10000 = 5000 = 50% + 9000 = 40%

Drag and drop the numbers into the boxes to create an expression that is equivalent to the given expression
213 +35

Answers

Answer:

7 and 21

Step-by-step explanation:

Which of the following conditions is necessary to prove that a quadrilateral is a parallelogram?
A. the diagonals bisect each other
B. The diagonals are congruent
C. The diagonals are perpendicular
D. The diagonals intersect on the perpendicular bisector of the two sides?

Answers

C.the diagonals are perpendicular i think :D

nelson middle school raised $19950 on ticket sales for its carnival fundraiser last year at $15 per ticket. if the school sells the same number of tickets this year but charges $20 per ticket how much money will the school make? can you explain i dont want tue anwer​

Answers

19950/15=1330
1330*20=26600
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