A right triangle has hypotenuse with length 8 inches. If one leg is 5 inches long, how long is the other leg?

Answers

Answer 1

Using Pythagoras theorem,

[tex]\sf a^2 + b^2 = c^2[/tex]

Where [tex]\sf a[/tex] and [tex]\sf b[/tex] are the two legs of the triangle, and [tex]\sf c[/tex] is the Hypotenuse.

Putting the given values:

[tex]\sf 5^2 + b^2 = 8^2 \\ \longrightarrow \sf b^2 = 64 - 25 \\ \longrightarrow \sf b^2 = 39 \\ \longrightarrow \sf b = \sqrt{39}\:\:inches[/tex]

Hence, the length of the other leg is,

[tex]\leadsto \underline{\boxed{\mathfrak{\pink{\sqrt{39}\:\:inches}}}}[/tex]


Related Questions

What angle would it be?

Answers

Answer:

Corresponding Angles

Step-by-step explanation:

The table represents a linear function.
What is the slope of the function?
-10
-5
5
10

Answers

using two points to find the slope use
y2-y1/x2-x1
i chose points (0,4) and (2,14)
14-4/2-0
10/2
5
The slope is 5

Please help me, answer in this format

6 - 4x = 6x - 8x + 2
6 - 4x = ___ + 2
6 = ___ + 2
___ = ___
___ = x

Answers

Answer:

6 − 4  x = 6 x − 8 x − 2  Since  x

is on the right side of the equation, switch the sides so it is on the left side of the equation.

6 x − 8 x − 2 = 6− 4 x  Subtract  8 x  from  6 x . − 2 x − 2 = 6 − 4 x

Move all terms containing  x

to the left side of the equation.

Tap for fewer steps...

Add  4 x

to both sides of the equation.

− 2 x − 2  +  4  x =  6  Add  − 2 x  and  4 x . 2 x − 2 = 6

Move all terms not containing  

x  to the right side of the equation.

Tap for fewer steps...

Add  2

to both sides of the equation.

2 x = 6 +  2  Add  6  and  2 . 2 x = 8

Divide each term by  

2  and simplify.

Tap for fewer steps...

Divide each term in  

2 x = 8  by  2 .  2 x 2 =  8  2  Cancel the common factor of  

2  .  Tap for more steps...

x = 8  2  Divide  8  by  2 .

x = 4

What is an algebraic expression for the word phrase?
the difference of a number r and 3

Answers

Answer:

r - 3

Step-by-step explanation:

The word "difference" means that it's a subtraction problem

so the difference between r and 3 is r - 3

Rituparna Banerjee
Samantha used the school computer 20 hours last month. Her brother Jacob used the school computer for 60 hours. What is the ratio of
the hours Samantha used the computer to the hours Jacob used the computer?
O A 3 to 1
OB. 1 to 3
O C. 1 to 4
O D. 3 to 2
O

Answers

Answer:

20:60 simplified

Step-by-step explanation:

so the question wants u to set up the ratio, Samantha's computer time to jacobs computer time, so 20:60 basically. now the choices they give u looks all simplified so we have to simplifi 20:60 witch is B)1 to 3. always remember when u r simplifing u have to divide the ratio by the same number.

plz plz pls help pls

Answers

Answer:

The second choice.

Step-by-step explanation:

Answer:

52 + 4 = 4 + 52

Step-by-step explanation:

Hope that will help you

I need help with this and explain how to do it please!!
6x - 4z

Answers

Answer:

you should know you dont need help so do it by yourself. if you want the awnser you should know or you just dont pay attention in class.1234567890 is your awnser

solve by substitution
y = -21 – 4x
8x + 8y = -24

Answers

Answer:
x=-6
y=3

Explanation:
y=-4x-21
8x+8y=-24

y=-4x-21
8x+8(-4x-21)=-24

y=-4x-21
-24x-168=-24

y=-4x-21
x=-6

y=-4(-6)-21
x=-6

y=3
x=-6

(-6,3) this is in point form in case you need it

A wildlife biologist examines frogs for a genetic trait that is linked to sensitivity to an industrial toxin in the environment. Suppose exposure to the toxin tends to increase the prevalence of the genetic trait in the population of frogs. Previous research has established that this trait is usually found in about 2/10 of all frogs in a `clean' environment. Suppose a location is suspected of contamination. A sample of 10 frogs are collected, then examined for the genetic trait. We are asked to interpret the data collected and determine whether there is evidence suggesting contamination. What is the fewest number of frogs in the sample with the trait (number of successes) for which we can conclude the area is contaminated?

Answers

Answer:

3

Step-by-step explanation:

Usually, when there is contamination the smallest amount can have huge ramifications in the data collected. In this scenario, if in a "clean" environment the trait is found in 2/10 frogs then anything above this number should be considered contaminated. This is because data above this ratio would be considered uncommon or rare and this unique occurrence can be most likely tied to the only new factor which would be the contamination. Therefore the minimum number of frogs with this trait in the sample would be 3.

what is the value of 2 power 1​

Answers

Answer:

2

Step-by-step explanation:

[tex]2^1=2[/tex]

Any number to the power of 1 equals the number itself

Answer:

2

Step-by-step explanation:

2 ^1 is the same as saying multiplying 2 one time. 1x2 =2. Another example would be 2^2. You would multiply 2 by 2 twice, so two 2s.

How many squares are in the 11 squares

Answers

Answer:

11 Squares are there in 11 squares

Answer:

11

Step-by-step explanation:

because take your question and realize you put, "How many squares are in the 11 squares?"

(Sry if wrong or information misunderstood!)

4 lb 4 oz – 2 lb 7 oz
A. 1 lb 13 oz
B. 2 lb 13 oz
C. 2 lb 3 oz

Answers

Answer:

a 1lb 13 oz

Step-by-step explanation:

1 lb= 16 oz. convert to oz. 68oz - 39oz = 29 oz. vconvert back to lbs.= 1 lb 13 oz.

Please answer with an explanation if you can. If you can’t it’s fine.

Answers

C because it’s an isosceles triangle which mean two angles are congruent. H and I are identical

How do I rewrite this number in scientific notation 54.8×103

Answers

Answer:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

5.6444 × 10 [tex]x^{3}[/tex]

Step-by-step explanation:

there is your answer i hope this helps you out bud

Answer:  

= 5.48 × 104

(scientific notation)

= 5.48e4

(scientific e notation)

= 54.8 × 103

(engineering notation)

(thousand; prefix kilo- (k))

Is (4, 3) a solution to x + y = 7

Answers

Answer:

Yes

Step-by-step explanation:

(x, y)

(4, 3)

x = 4

y = 3

Therefore

4 + 3 = 7

(WILL GIVE BRAINLIEST ASAP) A service that repairs televisions sells maintenance agreements for $10 a year. The average cost for repairing a
television is $34 and 5 in every 100 people who purchase maintenance agreements have televisions that require repair.
Find the service's expected profit per maintenance agreement.
$8.30
$8.64
$9.95
$9.66

Answers

8.64 hope this helped

Juan is creating a rectangular garden in his backyard. The length of the garden is 20 feet. The perimeter of the garden must be at least 70 feet and no more than 86 feet. Use a compound inequality to find the range of values for the width w of the garden.

Answers

Answer: 15-20 range.



Explanation
Well the length must be timed two so that makes it 40. But the length is the bigger side so the width number must be smaller then 20. And the width, it must be timed two, and make a number larger than 70 when added up. So the answer is the range between 15-20

URGENT
What is the equation of the line that passes through the point ( -2, 7) and has a slope of zero?

Answers

Answer:

y=7

Step-by-step explanation:

When ever the slope is 0, the line is completely flat. This means that the equation has the same y for every point.

The y on the point given is 7, therefore the answer is y=7.

I think #1 is wrong but i can't figure it out​

Answers

Answer:

the mistake is x and y x is 6 and y is 4 so it would be 5x6 and 4^2 divide by 2

Step-by-step explanation:

the right one is 5x-y^2 divide 2

                           5x6-4^2 divide 2

                            5x6-16 divide 2

                             30-8

                                 22

Help!! I’ll mark you brainly

Answers

Answer:

Two points that satisfy include (-2,5) (0,0) (2,-5) (I know this is more than 2, but in case the (0,0) origin isn't allowed.

Step-by-step explanation:

This is 5x+2y=0

Screenie is the 5x+2y=0 btw

Hope this helps!

20 POINTS !!!!
The roots of the equation x^2+bx+c=0 are −4 and 2. Find b.

Answers

first, love the killua profile picture ! i love hunterxhunter i am currently on season 5, episode 44 or 45 aka 119 or 120 but anyways,

answer:

b = 2

step-by-step explanation:

because its roots are -4 and 2,

and a = 1 [The coefficient of [tex]x^2[/tex]] we know that [tex]x^2 + bx + c = (x - (-4)) (x-2)=(x+4)(x-2) = 0.[/tex]

using the distributive property we get,

[tex]x^2 + 2x - 8 = 0.[/tex]

by equating coefficients (common strategy for partial fractions and undetermined coefficient method of solving ODE), we get b = 2 and c = -8 ( solved c just for fun guess :) ) .

hope this helps :)  

-audrey <3

Mariel paid: $15, $13, $35, and $18. Which
number shows the change in the balance
her account?
A -$81
C $71
B -$71
D $81

Answers

Answer:

check it

Step-by-step explanation:

“Lucynell don’t even know what a hotel is,” the old woman muttered. “Listen here, Mr. Shiftlet,” she said, sliding forward in her chair, “you’d be getting a permanent house and a deep well and the most innocent girl in the world. You don’t need no money. Lemme tell you something: there ain’t any place in the world for a poor disabled friendless drifting man.”

The ugly words settled in Mr. Shiftlet’s head like a group of buzzards in the top of a tree.

—“The Life You Save May Be Your Own,”

Flannery O’Connor

Which two things are being compared in the last sentence?

solve the proportion just type in the answer do not include the variables 14/8 equals x over 20​

Answers

The answer. . . . . . x=35
To solve this ratio let us use cross multiplication :-

[tex] \frac{14}{8} = \frac{x}{20} [/tex]

[tex]14 \times 20 = 8 \times x[/tex]

[tex]280 = 8x[/tex]

[tex]8x = 280[/tex]

[tex]x = \frac{280}{8} [/tex]

[tex]x = 35[/tex]

Using this let us find the proportional fractions :-

[tex] \frac{14}{8} = \frac{x}{2 0 } [/tex]

[tex] \frac{14}{8} = \frac{35}{20} [/tex]

[tex]∴the \: proportional \: fractions \:are :[/tex]

[tex] \frac{14}{8} :: \frac{35}{20} [/tex]

Solve for x: 13x + 12] = 18
O = x
X = 2, X = -10
O x = 2, x = -2
O x = 10, x = -10
X = -2, x = 10

Answers

Answer = x= 0

Step-by-step explanation:

Planet Earth has a mass of 5.9726 × 10 24 kilograms. And although 70% of the Earth's surface is made of water, the water's mass is only 5 × 10 -4 percent of the Earth's total mass. Use scientific notation to estimate the mass of the planet's water. In your final answer, include all of your estimates and calculations.

Answers

Given parameters:

Mass of the earth = 5.9726 x 10²⁴kg

Mass of  percent water on earth  = 5 x 10⁻⁴% of the total mass of the earth

Unknown:

Mass of water on earth = ?

Solution

This is pretty straight forward;

     Mass of water on earth  = mass percent of water x mass of earth

Input the parameters and solve;

    Mass of water on earth  = [tex]\frac{5 x 10^{-4} }{100}[/tex]  x 5.9726 x 10²⁴

                                           = 5  x 10⁻⁴ x 10⁻² x 5.9726 x 10²⁴

                                           = 5 x 5.9726 x 10⁻⁴⁺⁽⁻²⁾ ⁺²⁴

                                           = 29.863 x 10¹⁸kg

                    or 2.9863 x 10¹⁹kg

Mass of water on earth is 2.9863 x 10¹⁹kg

455 What is the minimum number of square marbles required to tile a floor of length 6 meter 24
cm. and width 4 meter 16 cm?
A. 6
B. 12
C. 14
D. 8​

Answers

Answer:

6

Step-by-step explanation:

Length of a floor, l = 6 m 24 cm = 624 cm

Breadth of a floor, b = 4 m 16 cm = 416 cm

We need to find the minimum number of square marbles required to tile the floor.

Taking factors of 624 and 416 by prime factorization :

624 = 2 x 2 x 2 x 2 x 3 x 13

416 = 2 x 2 x 2 x 2 x 2 x 13

Their HCF = 208

No of tiles length wise = 624/208 = 3

No of tiles width wise = 416/208 = 2

The minumum no of tiles needed = 3 × 2 = 6

Hence, 6 square tiles are required to tile a floor.

what is the oppisite of -4

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

4 is the oppisite of -4 is 4, you know that because it is in the exact oppisite side in the numberline.

I need help with 35-38 please!!!

Answers

Answer:

-3

Step-by-step explanation:

On a​ map, 1 inch equals 5 miles. Two cities are 10 inches apart on the map. What is the actual distance between the​ cities?

Answers

Answer:

50 i think. Just count by 5 to 10

Is PQRST a scaled copy of ABCDE

Answers

Answer: no

Step-by-step explanation:

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