One leg of a 45°-45°-90° triangle measures 6 inches. What is the length of the hypotenuse?

Answers

Answer 1
This is a right triangle (hence the 90° angle), so you'd find the legs (both are the same length of a right triangle) by using Pythagoras Theorem (a2 + b2 = c2) Since you have the hypotenuse (6"), just go backwards. 62 = 36 = a2 + b2. Like I said before the legs are the same length so you can rewrite it as 36 = 2x2, where x = either a or b. Then just solve for x.
Answer 2

Answer:

[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

In a 45-45-90 triangle, the legs are x, and the hypotenuse is [tex]x\sqrt{2}[/tex]

Since x, in this case, is 6, the hypotenuse is [tex]6\sqrt{2}[/tex]

Hope this helps!


Related Questions

Find the lateral surface area of the triangular prism. A) 84 in2 B) 90 in2 C) 96 in2 D) 104 in2.

Answers

The lateral surface area of the provided triangular prism is 96 square inches. Option C is the correct option.

What is surface area?

Surface area of any solid or the 3 dimensional body is the area of each faces by which the solid body is enclosed.

The lateral surface area of the triangular prism can be calculated with the following formula.

[tex]A_{LS}=h(a+b+c)[/tex]

Here, (a,b,c) are the bases of the rectangular faces and (h) is the common height.

The image of the triangular prism is attached below. In the given triangular prism, the common height is 8 in and bases of the rectangular faces are 5 in, 4 in and 3 in long.

To find the lateral surface area of the given triangular prism, put the values in the above formula.

[tex]A_{LS}=8(5+4+3)\\A_{LS}=8(12)\\A_{LS}=96\rm\; in^2[/tex]

Thus, the lateral surface area of the provided triangular prism is 96 square inches. Option C is the correct option.

Learn more about the surface area here:

https://brainly.com/question/20771646

1.2.2 If aunt Abby needs 625ml of flour, determine how many wedding cakes she can bake with a 2 kg flour.​

Answers

3 cakes. I'm not sure i understand the question

Each year the Student Council conducts a food drive. At the end of the drive, the members report on the items collected.

A. Describe two different ways that the students can sort the items that were collected.
B.Write two expressions to represent the number and type of items collected.
C. Share your expression with classmates. How are the expressions similar? How are they different? Why are they different?

Enter your answer.

Answers

Answer:

A)  Canned and Packet

    Grain, Meat and Vegetables

B)  Let C = canned goods, let P = packet goods

     20C + 7P

     Let G = grain, let M = meat, let V = vegetables

     7G + 3M + 17V

C)  The number of grain and packet goods are the same in each expression, as this food group has been packaged in the same way.

The other variables in both expression are different.  The meat and vegetable food groups have been separated in the second expression, whereas they are part of the same group in the first expression.

Multiply. Write your answer in simplest form. 4 1/6 x6
NEED ANSER A SAP 20 POINTS

Answers

Answer:

41

Step-by-step explanation:

41/6*6

41*6=246

246/6=41

Answer:

[tex]4 \frac{1}{6} \times 6 \\ \\ \frac{25}{6} \times 6 = 25[/tex]

What is 1/4 divided by -1/2?

Answers

Answer:

1/2

Step-by-step explanation:

KEEP 1/4 CHANGE the sign to multiplication FLIP 1/2 to 2/1

new equation: 1/4 x 2/1

now we can solve

we do: 1 x 2= 2

so 2 is our nominator

then we do: 4 x 1= 4

so 4 is our denominator

combine the nominator and denominator and we get

1/2 which in decimal form is 0.5

Which number is an irrational number?

A. 100 squared

B. 1/8

C. -2.2675

D. 3/16

Answers

Answer

the answer is D square root of 16 expression 3

pls pls pls pls help me ( show your work ). ​

Answers

Answer:

14:250 15:2800

Step-by-step explanation:

14: 32%=80 dividing both sides by 8 we get 4% = 10. multiply both sides by 25 and we get 100%=250

15: same strategy, 2%=56 so 1%=28. multiply by 100 to get 100%=2800

What is 5.8×10^6 seconds in minutes?

Answers

Answer:

9.66 x 10⁴ minutes

Step-by-step explanation:

To convert seconds into minutes, simply divide by 60.

=> 5.8 x 10⁶ / 60

=> 580 x 10⁴ / 60

=> 29 x 10⁴ / 3

=> 9.66 x 10⁴ minutes

Answer:

9.6×10^4

Step-by-step explanation:

1 min=60sec

5.8*10^6 / 60= 9.6×10^4

Evaluate the following expression, when n=-3 and r=-8
−5 + 3(−2r + 4n)
Pease answer ASAP

Answers

Answer:

-8

Step-by-step explanation:

Given that,

n = -3

r = -8

Now we have to find the value of the given expression.

For that, you have to replace n and r with ( -3 ) and  ( -8 ) respectively.

Let us solve now.

−5 + 3 ( −2r + 4n )

-5 + 3 ( -2 × -8 + 4 × -3 )

-2 ( 16 - 12 )

-2 × 4

-8

Let me know if you've any other questions. :-)

- Hi1315

One weekend Ella sells a total of 52 prints for a total of $2,975.Small prints cost $50 and large prints cost $75. How many of each size print did Ella sell?

Answers

Answer:

ella sold 37 small prints and 15 large prints.

Step-by-step explanation:

37×50=1850

15×75=1125

1850+1125=2975

6) Write a function that can be used to represent
the total cost of apples purchased if one pound

Answers

Answer:453.59237

Step-by-step explanation: we know that each apple weighs 120 grams so we can add them up to get 453.59237 it would take about 3 apples to get 453.59237 so 453.59237 is our awnser

A square has a side length of n + 6. A rectangle has length n + 15 and width of
n - 3.

Find the perimeter of each figure. Are the perimeters the same? Explain
your reasoning.

Answers

Answer:

I'm pretty sure you have to add everything

help me with this composite figure

Answers

Answer: 142 sq. ft

Step-by-step explanation: decompose the figure into two figures. Then, find the length and the width of each figure and find their separate areas. Lastly, add the two areas together to get the total area.

Alex’s SUV gets an average of only 15 miles per gallon. Gas costs $2.19 per gallon. Write a rule that gives the cost of a trip C when you know the number of miles d that Alex travels.

Answers

Answer:

(d miles)/(15 miles/gallon)*($2.19/gallon)

Step-by-step explanation:

Fuel efficiency = 15 miles/gallon.

Gas is $2.19/gallon.

Total cost is y.

miles is d

The equation that provides the total fuel for a trip in Alex's SUV would be:

Fuel for d miles (gallons) = (d miles)/(15 miles/gallon)

This is the total fuel required for a trip of d miles.  Multiply this times the cost per gallon to find the total ciost of the trip:

(d miles)/(15 miles/gallon)*($2.19/gallon) = Total cost for a trip of d miles.

I am writing an essay. I want to write about Italian Greyhounds, but don't have one. Does anybody here have one who can tell me some stories?

Answers

answer:

reddit has a lot of stories on various topics i recommend checking out
the app or website. i have an american pitbull terrier, so i have stories about them not greyhounds. although, you can also search ‘raising a Italian-greyhound blog post’ so that you can have access to multiple stories from different perspectives that way.

best of luck!

A ball bounces half as far as it did on the preced-
ing bounce and traveled a total distance of 12 feet
on two bounces. How far did it go on the first
bounce?

Answers

Answer:

Think proportion and ratio.

The ball bounced twice and travelled 12ft.

The first bounce is twice the distance of the second bounce so the second bounce must be equal to two of the first.

2:1 of a total 12.

You now have three parts 12/3 =4

The first bounce is 2 times this amount which is 8 ft the second bounce was 4 ft as it was only one part.

How many times larger is 90,000 than 900

Answers

Answer:

100 times larger

Step-by-step explanation:

All you do is 90,000 divided by 900

90000/900 is 100

What are the zeros of this function?
A. x = 0 and x = -6
B. X = 2 and x = -6
C. X = 0 and x = 5
D. x = 0 and x = -5

Answers

Answer:

c

Step-by-step explanation:

the parabola crosses the x axis at (0,0) and (4,0)

Solve the equation to find the measures of the unknown angle

Answers

Answer:

41 degrees

Step-by-step explanation:

A supplementary angle pair is 180 degrees.

139+x=180

180-139=41

x=41

Round 6,824 to the nearest ten.

Answers

Answer:

It would be 6.8

Answer:

6,820

Step-by-step explanation:

round from the tens place digit.

If a rounded number has a ones place digit of less than 5, round to 0. If a rounded number has a ones place digit of 5, round to the next ten.If a rounded number has a ones place digit of more than 5,          

        round to the next ten.

16. Find mZW.
X
15
W
Y
25°
22
Z

Answers

Answer:

a 14 can be close so that we can get are our answer

Answer:48.7

Step-by-step explanation: its right

A jar contains 125 marbles. Given 2% of the marbles are green, 54% of the marbles are blue, and the rest are red, how many red marbles are in the jar?

Answers

there are 55 red marbles in the jar

Answer:

There are 55 red marbles in the jar.

Step-by-step explanation:

Green marbles = 125 x 2/100 = 2.5

Blue marbles = 125 x 54/100 = 67.5

Red marbles = 125 - 67.5 - 2.5 = 55

simply 3/2 of (1/3+4/7) × 7

Answers

Answer:

19/2

Step-by-step explanation:

PEMDAS

do (1/3+4/7) first

19/21

19/21 x 7 = 19/3

3/2 of 19/3 = 19/2

During lunch, 80 students were asked about their favorite type of food Twenty -four of them said Italian. If there are a total of 480 students in the cafeteria, about how many might say Italian is their favorite food?

Answers

Answer:

144 students

Step-by-step explanation:

24 × 6 = 144

hope it helps

Question 1
What value of “n” makes the equation true?
Provide evidence.


-n + 8 = 12

Answers

Answer:  " n = - 4 " .
__________

Step-by-step explanation:

Given:
 -n + 8  = 12 ;  solve for "n" ;

Subtract "8" from each side of the equation:

-n + 8 - 8 = 12 - 8 ;

to get:
 -n = 4 ;

Which is the same as:
 -1n = 4 ;

Divide each side of the equation by "-1" ; to isolate "n" on one side of the equation; and to solve for "n" :

  -1n / -1 = 4 / -1 ;

 to get:
    " n = - 4 " ;  which is our answer.
_______________

Now, let's check our answer:
_______________
by plugging in our value obtained for "n" ; which is " - 4 " ;
_______________
-(-4)  +  8  12 ?? ;
_______________

From the "left-hand sign" of the equation:
_______________
 " - (-4) = ⁺ 4 " ;  
_______________
Note:  The opposite of negative value; or the negative of a negative value; is equal to that very positive value.
_______________
" 4  +  8    12 ? ;

" 12    12 ? ;   Yes!

_______________
The correct answer is:  " n = - 4 " .
_______________

Hope this helps!  Best wishes!
_______________

A sandwich shop has 60 stores and 80% of the stores are in California. The rest of the stores are in Nevada.
How many stores are in California and how many are in Nevada?

Answers

60% of 30 = 0.6 x 30 = 18
Cali=18 stores

30 - 18 = 12
Nevada=12 stores

if a submarine is 3750 feet below sea level what is the integer

Answers

Answer:

-3750

Step-by-step explanation:

+3750

The opposite of + is -

So it would be -3750

Paisley and her dad are digging a pond in their yard. They know the diameter will be 50 yards. What will the area of the pond be?


pls help i need soon will give brain liest if right

Answers

Answer:

See step-by-step, as it depends which value of pi you use.

Step-by-step explanation:

Equations

Diameter = [tex]2r[/tex]Area of a circle = [tex]\pi r^2[/tex] (where r is the radius)

Assuming the pond is circular...

Diameter of pond = 50 yd ⇒ r = 50 ÷ 2 = 25 yd

Substitute r = 25 into the equation for the area of a circle:

[tex]\implies A= \pi \times25^2=625\pi[/tex] yd²

Using [tex]\pi =3.14[/tex], area = 1962.5 yd²

Using [tex]\pi=\dfrac{22}{7}[/tex], area = 1964.3 yd² (nearest tenth)

Using [tex]\pi[/tex], area = 1963.5 yd² (nearest tenth)

What are the values of the three trigonometric ratios for angle L, in simplest form?.

Answers

The value of the three trigonometric ratios for angle L are 4/5, 3/5, and  4/3.

What are the trigonometric ratios?

The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

Given

The opposite side of the triangle is 20, the adjacent side is 15, and the hypotenuse is 25.

The three trigonometric ratios are given by;

[tex]\rm Sin \theta=\dfrac{Opposite}{Hypotenuse}\\\\Sin\theta=\dfrac{20}{25}\\\\Sin\theta=\dfrac{4}{5}\\\\\rm Cos\theta=\dfrac{Adjacent}{Hypotenuse}\\\\ \rm \rm Cos\theta=\dfrac{15}{25}}\\\\ \rm Cos \theta =\dfrac{3}{5}\\\\\rm Tan\theta =\dfrac{Opposite }{Adjacent}\\\\\rm Tan \theta =\dfrac{20}{15}\\\\Tan \theta=\dfrac{4}{3}[/tex]

Hence, the value of the three trigonometric ratios for angle L are 4/5, 3/5, and  4/3.

To know more about trigonometric ratios click the link given below.

https://brainly.com/question/8308608

This scale drawing shows a reduction in a figure.

What is the value of x?

Enter your answer as a decimal in the box.

x =
Two trapzoids of different sizes. The first trapezoid has a side labeled 8 and the smaller base labeled 3. The second trapezoid has the corresponding side labeled 6 and the corresponding base labeled x.

Answers

Answer:

2.25

Step-by-step explanation:

took the quiz, got it wrong, saw the right answer ;)

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