What is the length, in feet, of the hypotenuse of a right triangle with legs that are 6 feet long and 7 feet long, respectively?


13
square root of 13


85
square root of 85

13
13

21
21,

42

What Is The Length, In Feet, Of The Hypotenuse Of A Right Triangle With Legs That Are 6 Feet Long And

Answers

Answer 1
Pythagorean Theorem:
6^2 +7^2 =hypotenuse^2
Hypotenuse = sqrt of 6^2 + 7^2
Hypotenuse = sqrt of (36 + 49) = sqrt of 85

So the hypotenuse is square root of 85 (the second option)

I hope this helps :) sry for not using proper symbols I was kinda in a rush

Related Questions

What is the equation of the line that passes through the point (1,5) and it parallel to the line 2x + y = 10?

Answers

Make the equation into slope intercept form: y = mx + b
2x + y = 10
Subtract 2x
y = -2x + 10
Parallel means same slope
Y = -2x + b
Plug in the point (1,5)
5 = -2(1) + b, b = 7
Solution: y = -2x + 7

Answer:

To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

and solve for

y

.

x-intercept(s):

(

5

,

0

)

y-intercept(s):

(

0

,

10

)

Step-by-step explanation:

hope it helps make brainlliest ty

Explain how you know that √10 is between 3 and 4? what would your estimate of √10 be??

Dont try and say the answer in a mf file i have to download lol

Answers

Answer:

Step-by-step explanation:

Welllllll.....

If you take the square root of 9, it's 3

if you take the square root if 16, it's 4

I would guess it to be about 3.2

Answer:

Step-by-step explanation:

Lily ,  we know that [tex]3^{2}[/tex] =9  and [tex]4^{2}[/tex] = 16  so we know that  [tex]x^{2}[/tex] = 10  , where 10 is an answer to x squared,  then X lies between 3 and 4   ,  see?  

A triangle has sides with lengths of 9 feet, 14 feet, and 15 feet. Is it a right triangle?

Answers

Answer:

No its not, because if you use the pythagorean theorem formula 9 and 14 will not equal 15. So it wouldn't make it a right triangle.

Help
Construct a problem that is written in exponent form then explain the steps to converting a problem from exponent to radical form.

Answers

Step-by-step explanation:

Radicals and fractional exponents are alternate ways of expressing the same thing. ... These examples help us model a relationship between radicals and rational ... Problem. Write as an expression with a rational exponent. The radical form can be ... Change the expression with the rational exponent back to radical form.  

Find the missing side.
Need help please.
Need to show how to get the answer.

Answers

Answer:

8

Step-by-step explanation:

Prove algebraically that the square of any number is always 1 more than a multiple of 8

Answers

Answer:

This is interesting but I don't think it's provable (unless it's just the square of odd numbers).

3² = 9, which is 1 more than a multiple of 8  (8)

4² = 16, which is not 1 more than a multiple of 8  (8)

5² = 25, which is 1 more than a multiple of 8  (24)

6² = 36, which is not 1 more than a multiple of 8  (32)

7² = 49, which is 1 more than a multiple of 8  (48)

8² = 64, which is not 1 more than a multiple of 8  (64)

9² = 81, which is 1 more than a multiple of 8  (80)

10² = 100, which is not 1 more than a multiple of 8  (96)

find z. explain please

Answers

Answer:

13

Step-by-step explanation:

You need to use pythagorean theorem (a^2 + b^2 = c^2). In this case 5 is a, 12 is b, and z is c. 5^2 + 12^2 = z^2, this ends up as 169 = z^2. Now you find the square root of 169 which is 13.

Step-by-step explanation:

Maybe it is root 5²time 12²=60

BRAINILIEST PLEASE

image below plz help god bless you

Answers

Answer:

The answer will be D!

Step-by-step explanation:

First, let's find the value of X:

2x + 4x + 3x = 81

9x = 81

x = 9

Then, multiply it by the biggest side which is 4:

9 x 4 = 36

I think it’s d sorry if I’m wrong

Question 3
The population of a sample of bacteria triples every minute. If the initial population of the sample is 2 bacteria, Nicholas believes
the equation p-2(3)' can be used to find the total population after t minutes,
=
Is Nicholas correct? If not, why not?
a.No, Nicholas switched the initial population and the rate. The equation should be P - 3(2)'
b.No, Nicholas should have wrrtten a linear equation. The equation should be P - 2+ 31
c.Yes, Nicholas is correct.

Answers

Answer:

C. Yes nicholas is right.

The right rectangular prisms are similar. The bigger prism has a length of 2.2, width of .8, and height of 3.2. The smaller prism has a length of 1.1, width of .4, and height of 1.6.


Which statements are correct? Check all that apply.


- The angles in the smaller prism measure 90 degrees.


- The perimeter of the rectangular bases changes by a factor of 2.


- The surface area changes by a factor of 8.


- The larger prism has twice the volume of the smaller prism.


- The area of the rectangular bases changes by a factor of 4.

Answers

Answer:

The angles in the smaller prism measure 90 degrees.

The perimeter of the rectangular bases changes by a factor of 2.

The area of the rectangular bases changes by a factor of 4.

Step-by-step explanation:

Two polygons are said to be similar if they have the same shape and angles. Also, the ratio of their corresponding sides are to be in the same proportion.

A) Since the two prism are similar, therefore they are to have the same angle measure. The bigger prism has angles with measure of 90°, hence the angles in the smaller prism will also measure 90.

 

B) Perimeter of bigger prism base = 2(2.2 + 0.8) = 6

Perimeter of smaller prism base = 2(1.1 + 0.4) = 3

Hence, The perimeter of the rectangular bases changes by a factor of 2 (6 / 3).

 

C) Surface area of bigger prism = 2(2.2*0.8 + 3.2*0.8 + 3.2*2.2) = 22.72

Surface area of smaller prism = 2(1.1*0.4 + 1.6*0.4 + 1.6*1.1) = 5.68

22.72 / 5.68 ≠ 8, hence the surface area does not change by a factor of 8

Option C is wrong

D) Volume of bigger prism = 3.2 * 2.2 * 0.8 = 5.632

Volume of smaller prism = 0.4 * 1.6 * 1.1 = 0.704

The volume of larger prism is not twice of the smaller prism (5.732 / 0.704 ≠ 2)

 

E) Area of bigger prism base = 2.2*0.8 = 1.76

Area of smaller prism base = 2.2*0.8 = 0.44

Since 1.76 / 0.44 = 4; The area of the rectangular bases changes by a factor of 4

Use the long division method to find the result when 6x^3 + 25x^2+ 18x + 14 is
divided by 2x + 7.

Answers

Answer: 3x^2+2x+2


Explanation: it’s correct

Hey can you help me fast!!!

Answers

The expression would be 3/4 divided by 1/2

3 divided by ?/9 = 5 2/5

show your work

Answers

Answer:

5

Step-by-step explanation:

3/(x/9)=5 2/5

5 2/5=27/5

(3/1)(9/x)=27/5

27/x=27/5

x=5

Write an expression that is equivalent to 4 times x times x times x

Answers

Answer:

4x³

Step-by-step explanation:

4 * x * x * x

4 * x² * x

4 * x³

4x³

Simply multiply, that's all that's needed.

On Monday Alex earned £120
On Tuesday she earned £100
Alex earned the same amount of money on Wednesday, on Thursday and on Friday
She earned a total of £550 for these five days,

How much did Alex eam on Wednesday?

Answers

550-(120+100)=330
330/3=110

£110
£110 should be the answer :)


Using the expression 4y + 18, identify the following:
1. variable
2) coefficient
3) constant

Answers

Answer:

The variable is y

The coefficient is 4

The constant is 18

Answer:

1. y

2. 4

3. 18

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

Find the area of the SHADED region.
Round to the nearest TENTH if necessary.

Answers

Answer:

The area of the SHADED region is 21 cm.²

Step-by-step explanation:

The area of the SHADED region is the difference between the area of the entire figure and the area of the UNSHADED region

The shape of the UNSHADED region is a rectangle

The area of a rectangle, A = The length × The width

∴ The area of the UNSHADED region, A = 1 cm × 4 cm = 4 cm²

The area enclosed by the entire figure is in the shape of a square

The area of a square s similar to the area of the rectangle, but because a square has equal side length, the area of a square, A = Side length × Side length

Therefore, the area enclosed by the entire figure = 5 cm × 5 cm = 25 cm²

The area of the SHADED region = The area enclosed by the entire figure - The area of the UNSHADED rectangular figure inside

That is the area of the SHADED region = 25 cm² - 4 cm² = 21 cm².

Keisha wants to buy her a new pair of jeans that
cost $34.99. She can receive 15% off. How much
is the discount she receives?
ROUND YOUR ANSWER TO THE NEAREST HUNDREDTH

Answers

Answer:

15% off of $34.99 equals $29.74

Step-by-step explanation:

the discount she receives should be

$34.99-$29.74= $5.25

A jar contains 25 gray, 7 pink, and 22 orange marbles. A marble is drawn at random.
P(not gray).

Answers

Answer:

25 grays, 7 pink, 22 orange

total marbles- 54

marbles that are not grey- 29

P(not grey): 29/54

Does anybody know how to find the distance between 2 things using the pythagorean theorem?​

Answers

Answer:

Yes

Step-by-step explanation:

The two objects are plotted at different points in graph and one gets the difference of points y coordinates (change in y) and change in x too.

Then one can look for distance as hypotenous and change in y as height and change in x as the base of our imaginery triangle.

Therefore, from Pythagoras Theoreom:

hyptenous² = height² + base²

Distance² = change in y² + change in x²

Distance = √change in y² + change in x²

How many minutes per question does she have

Answers

Answer:

she has 2.5 minutes per question

90 ÷ 36 = 2.5

Step-by-step explanation:

Answer:

The answer is 2.5 minutes per second

Step-by-step explanation:

you divide 90 to 36 and it will give you 2.5

Please help ????? Just the bottom question

Answers

Answer:

144

Step-by-step explanation:

We can see that every 2 boxes has 24 peaches in it. That means that every single box would have 12 in it. Then it is just simple multiplication from there. 12 * 12 = 144.

Hope that this helps!

arper went into a movie theater and bought 10 bags of popcorn and 6 drinks, costing a total of $79. Damian went into the same movie theater and bought 3 bags of popcorn and 5 drinks, costing a total of $36.50. Write a system of equations that could be used to determine the price of each bag of popcorn and the price of each drink. Define the variables that you use to write the system.

Answers

Answer:
The price of a drink = $4
The price of a bag of popcorn = $5.5

Step-by-step explanation:

Let p represent popcorn and d represent drink
Harper bought 10 bags of popcorn and 6 drinks and paid $79 ➡ 10p + 6d = $79
Damian bought 3 bags of popcorn and 5 drinks and paid $36.50 ➡ 3p + 5d = $36.50
Now multiply first equation by -3 and second equation by 10
-3 × (10p + 6d) = $79 ➡ -30p - 18d = -$237
10 × (3p + 5d) = $36.50 ➡ 30p + 50d = $365
Now add the new equationd
30p + 50d -30p - 18d = $365 - $237 (-30p will eliminate 30p)
32d = $128 divide both sides of the equation by 32
32 ÷ 32d = 32 ÷ $128 ➡ d = 4
If d = 4 that means a drink costs $4 we can use this information to find the price of a bag of popcorn
3p + 5d = $36.50 (replace d with 4)
3p + 4×5 = $36.50
3p + 20 = $36.50
3p = $36.50 - 20
3p = 16.50 divide both sides by 3
p = $5.5

Answer:

popcorn is 5.5 and drink is 4

Step-by-step explanation:

It just is my g

3. Marissa owes her parents
money for her car. She paid
them $163 for 24 months
until she finished paying her
debt. Which integer
represents how much
money she owed her
| parents?

Answers

She owed $3,912.

Explanation: 163 * 24 = 3,912

How do you write an equation of a line given (1, 2) and (3, 4) in a slope -intercept form

Answers

Answer:

y = x + 1

Step-by-step explanation:

find slope first:

(4-2) / (3-1) = 2/2 or 1

now find the y-intercept, or 'b' by using one of the two given points and the slope

2 = 1(1) + b

2 = 1 + b

1 = b

equation in slope-intercept form:

y = 1x + 1  or  y = x + 1

Help? 2/7 done! We got this! I tried myself and I got a decimal ‍♀️

Answers

x + 2x + x + 10 = 90
4x = 80
x = 20

In the figure the triangle is right triangle at *Y* and *N* is the foot of the perpendicular from *Y* to XZ. Given that XY=6 cm and XZ=10 cm. What is the length of XN

Answers

Answer:

3.6cm

Step-by-step explanation:

YZ = 10² - 6² = 8

sinX = 8/10 = 53.13º

cos 53.13º = XN/6

XN = 3.6cm

Answer:

[tex] \underline{ \underline{ \red{ \large {\tt{✧ G \: I \: V \: E \: N}}} }}: [/tex]

XY = 6 cm , XZ = 10 cm

[tex] \underline{ \underline{ \purple{ \large{ \tt{✧ T \: O \: \: F\: I\: N\: D}}}}} : [/tex]

Length of XN

[tex] \underline{ \underline{ \pink{\large {\tt{✧ S \: O \: L \: U\: T\: I \: O\: N}}}} }: [/tex]

Let the length of XN be ' x ' & that of NZ be ' 10 - x '

In rt. XYZ :

Hypotenuse (h ) = 10 , Perpendicular ( p ) = YZ & Base ( b ) = 6

Using Pythagoras theorem:

[tex] \large{ \sf{p = \sqrt{ {h}^{2} - {b}^{2} } }}[/tex]

Plug the values & then simplify!

⇢ [tex] \large{ \sf{YZ = \sqrt{( {10)}^{2} - {(6)}^{2} } }}[/tex]

⇢ [tex] \large{ \sf{YZ = \sqrt{100 - 36}}}[/tex]

⇢ [tex] \large{ \sf{YZ = \sqrt{64}}} [/tex]

⇢ [tex] \large{ \sf{YZ = 8} \: cm} \: [/tex]

In rt. YNZ ,

Hypotenuse = 8 cm , Perpendicular = YN , base = 10 - x

Using Pythagoras theorem :

⇾ [tex] \large{ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = {8}^{2} - {(10 - x)}}}^{2} [/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - \{ {(10)}^{2} - 2 \times 10 \times x + {(x)}^{2} \} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - \{100 - 20x + {x}^{2} \}}} [/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - 100 + 20x - {x}^{2} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 20x - {x}^{2} - 36}} \longrightarrow \: eq (i)[/tex]

In rt. XYN ,

Hypotenuse = 6 , Perpendicular = YN , base = x

Using Pythagoras theorem :

[tex] \large{ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = {(6)}^{2} - {(x)}}}^{2} [/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 36 - {x}^{2} \longrightarrow \: eq(ii) }}[/tex]

Now , From Equation ( i ) & Equation ( ii )

⤑ [tex] \large{ \sf{20x - {x}^{2} - 36 = 36 - {x}^{2} }}[/tex]

⤑ [tex] \large{ \sf{20x - \cancel{ {x}^{2} } - 36 = 36 - \cancel{ {x}^{2} }}}[/tex]

⤑ [tex] \large{ \sf{20x = 36 + 36}}[/tex]

⤑ [tex] \large{ \sf{20x = 72}}[/tex]

⤑ [tex] \large{ \sf{x = 3.6}}[/tex] cm

Hence, The length of XN is [tex] \large{ \boxed{\red{ \bold{ \tt{3.6 \: cm}}}}}[/tex]

[ Correct me if I am wrong ]

♨ Hope I helped! ♡

♪ Have a wonderful day / night ! ☃

☥ [tex] \underbrace{ \overbrace{{ \mathfrak{Carry \: On \: Learning}}}}[/tex] ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Many credit card companies charge a compound interest rate of 1.8% per month on a credit card balance. Nelson owes $950

Answers

Answer:

950, 1121.00, 1322.78, 1,560.88, 1,841.84

Step-by-step explanation:

Calculation to determine the sequences that describes his increasing monthly balance

Based on the information given in order for us to determine the sequence we have to multiply the amount owes by the interest rate and then add back the answer you got to the previous amount you multiplied the interest rate to.

First sequence will be the amount he owes on a credit which is $950

Second sequence

950 * .018 = 171.00

950 + 171.00 = 1121.00

Third sequence

1121.00 * .018 = 201.78

1121.00 + 201.78 = 1322.78

Fourth sequence

1322.78*0.18=238.10

1322.78+238.10=1,560.88

Last sequence

1,560.88*0.18=280.96

1,560.88+280.96=1,841.84

Therefore the sequences that describes his increasing monthly balance are:

950, 1121.00, 1322.78, 1,560.88, 1,841.84

(45 points)


(1) It takes 4 eggs for 5 waffles. How many more waffles can 6 eggs make?

(2) A 1-lb. mix will make 32 biscuits. How many ounces of mix are needed for 24 biscuits?

I NEED THIS ASAP!

Answers

Answer:

1). 6 eggs = 7.5 waffles 2). 8 ounces for 24 biscuits

Step-by-step explanation:

helppppppppppppppppppppppp

Answers

Answer:

b.........................

Answer:

D.

Step-by-step explanation:

bahahahhaa

Hey karlieeeeeeeeeeeeee XD

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