Find the length of the third side. If necessary, write in simplest radical form.

Find The Length Of The Third Side. If Necessary, Write In Simplest Radical Form.

Answers

Answer 1

Answer:

third side = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x , then

x² + 4² = (2[tex]\sqrt{13}[/tex] )²

x² + 16 = 52 ( subtract 16 from both sides )

x² = 36 ( take square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6


Related Questions

What does this sentence mean? Or write the formula

Find all sets of 2 consecutive positive integers with a sum that is at least 8 and less than or equal to 24.

Answers

Answer:

An odd integer is denoted by 2n+1 where n is an integer.

First odd integer = 2n+1

Next odd integer = 2n+3

8 ≦ (2n+1)+(2n+3) < 24

8 ≦ 2n+1+2n+3 < 24

8 ≦ 4n+4 < 24

Divide through by 4

2 ≦ n+1 < 6

Subtract 1 for all three sides:

1 ≦ n < 5

n ∈ {1,2,3,4}  

Answer:  {2n+1, 2n+3}  {1,3}, {3,5}, {5,7

Step-by-step explanation:

the sum of the three consecutive integers is -105 what are the three numbers?

Answers

Answer: -34, -35, -36

Explanation: To find the sum of the three consecutive integers which add up to -105, let us find the sum of three consecutive integers which add up to 105. The only possible solution is 34, 35, and 36. Now we can just make this negative for -105. To double check, put this into a calc: -34 + -35 + -36

Would appreciate brainly <3

Let first number=x, second number=x+1, third number=x+2
Equating the sum of three number to -105 and finding x, the three integers are -36,-35 and -34

5

7

2

8

1) what is the area (square units)

Answers

area: 560

Explanation: multiply everything together

What is an equation of the line perpendicular to y=1/5x+2
That contains (15, -4)?

PLS HELP

Answers

Answer:

y+4=-5(x-15)

Step-by-step explanation:

Use point-slope form:

y-y1=m(x-x1)

m is the slope

x1 is the x coordinate of the point that the line contains

y1 is the y coordinate of the same point

We are already given the coordinates of the point (15, -4), so we just need m, the slope.

We are given that equation of the line is perpendicular to line y=1/5x+2. Perpendicular lines have slopes that are negative reciprocals of one another. The slope of y=1/5x+2 is 1/5, so all we need to do it get the negative reciprocal of 1/5.

The negative reciprocal of 1/5 would be -5. (switch the numerator and denominator and slap on a negative)

Now we know

m is -5

x1 is 15

y1 is -4,

so plug those into point-slope form: y-y1=m(x-x1)

y-(-4)=-5(x-15)

y+4=-5(x-15) is the answer

Solve the literal equation for x.

k= nx - 3x

Answers

answer:X=k/n-3

explain:move all terms to the left side and set equal to zero. then set each factor equ to zero!

I hope this helps

k=x(n-3)
k/(n-3)=x
there ya gooooo

Guided Practice

Type your answer and then click or tap Done.

What is the vertex of the parabola with the equation y=15x^2+2x−8?

Answers

Answer:

(Fill in the blank text field 1

-5

, Fill in the blank text field 2

-13

)

Step-by-step explanation:

(Fill in the blank text field 1

-5

, Fill in the blank text field 2

-13

)

Done

The vertex of the parabola is (−5, −13).

Rewrite in vertex form and use this form to find the vertex  

(

h

,

k

)

.

(

1

/15

,

121

/15

)

Find the vertex form.

y

=

15

(

x

+

1

/15

)

2

121

/15

The farmer bought 2.5 sacks of fertilizer for $2.20 per sack and 4.5 sacks of essential soil for $1.80 for each sack from the supplier. If he gave a $15 bill to the supplier, how much would his change be?

Answers

Answer:

$0.50 or 50 cents

Step-by-step explanation:

If he bought 2 and a half sacks of fertilizer for $2.20 that means u multiply 2.20 2 and a half times so first lets divide 2.20 by 2 to find the solution of the "0.5" which is 1.10

2.20 times 2 equals 4.40 then we add the 1.10 so 4.40 plus 1.10 is $5.50.

For the 4.5 sacks of 1.80 we will do the same technique half o 1.80 is 90 cents so 0.90 and 4.5 times 1.80 is $8.10 we then add the 90 cents making it $9.

We then add the 2 totals of $9 and $5.50 which equals $14.50, the change would be 50 cents which in decimal form would be $0.50

Lucy has ridden 45 miles of a bike course. The course is 60 miles long. What percentage of the course has Lucy ridden so far?

Answers

Answer:

a

Step-by-step explanation:

Whoever answers first gets brainliest, 5 stars, and a thanks! Pls help asap!

Answers

Answer:

a. In the first step: Nick is supposed to subtract 1 1/2 instead of adding it

b. He should subtract 1 1/2 instead

c. 3 3/22

Step-by-step explanation:

Work for c.

4 7/11 - 1 1/2

4 14/22 - 1 11/22

3 3/22

-Chetan K

Answer:

3 3/22

Step-by-step explanation:

a) he subtracted 5 from a mixed fraction without converting it first

and for 1 1/2 - sign should be there

b) first convert mixed fraction and add the terms in the parentheses

c) 9 7/11 - (5 + 1 1/2)

= (9*11 + 7) / 11  - ( 5 + (1*2 + 1)/2 )

= 106/11  - (5 + 3/2)

= 106/11 - (5*2 + 3)/2

= 106/11 - 13/2

= lcm of 2 and 11 is 22

= (106*2 - 13*11) / 22

= (212 - 143) / 22

= 69/22

= 66 + 3 / 22

= 3 3/22

Please help fast i will mark you if you get it right

Answers

Answer:

6/1 * 2/3= 4

5/6 - 3/4= 1/12

3/5 / 1/3= 9/5

Step-by-step explanation:

Jada measured the height of a plant in a science experiment and finds that, to the nearest 1/4 of an inch, it is 4 3/4 inches.

What is the largest the actual height of the plant could be?
4 7/10
inches

Answers

Answer:

Step-by-step explanation:

Given that the height(h) of the plant to the nearest 1/4 of an inch is 3/4 inches = 0.75 inches.

It is obvious that the height will lie within the range

2.5/4<h<3.5/4

which corresponds to the range

5/8<h<7/8 OR 0.625<h<0.875

Thus,

a. The largest actual height could be 0.875 inches, while

b. The smallest actual height could be 0.625 inches

c. The percentage error is given by the formula:

[(approx.-exact)/exact]*100%

If we take the lowest value, for instance, as the exact, i.e. 0.625 inches,

then % error = [(0.75-0.625)/0.75]*100% = 16.7%

Obviously, the same value is expected if we take the upper limit of 0.875, i.e. % error = [(0.75-0.875)/0.75]*100% = -16.7%, only that the absolute value will be taken.

Add and write in standard form: (-3x^4 + 6x^3 - 43) + (8x^5 - x^2 + 12x + 10)

A.) 8x^5 - 3x^4 + 6x^3 - x^2 + 12x - 33
B.) x^5 - 5x^3 + 12 - 33
C.) -33 + 12x - x^2 + 6x^3 - 3x^4 + 8x^5
D.) -13x^14

Answers

Answer:

A.) 8x^5 - 3x^4 + 6x^3 - x^2 + 12x - 33

Answer: A

Step-by-step explanation:

Because the only thing that can be combined is - 43 and 10, you just need to combine that and write everything else out.

- 43 + 10 = - 33

Now just write everything out...

8x^5 - 3x^4 + 6x^3 - x^2 + 12x - 33

Which is A

y/−7 = 1 /4 what does y =

Answers

Answer:

y = - [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

[tex]\frac{y}{-7}[/tex] = [tex]\frac{1}{4}[/tex] ( cross- multiply )

4y = - 7 ( divide both sides by 4 )

y = - [tex]\frac{7}{4}[/tex]

My friends the answer is -7/4 Explanation:y/(-7) = 1/4 // - 1/4    y/(-7)-(1/4) = 0 y/(-7)-1/4 = 0 -1/7*y-1/4 = 0 // + 1/4 -1/7*y = 1/4 // : -1/7 y = 1/4/(-1/7) y = -7/4

Stella is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1.75 per mile driven.

Answers

Answer:

and wht is the question?

Kk but how far did she go Bc that would be the way to get to the question

Please help me I need help with solving this equation worth 30 points

Answers

Answer:

1. -20

2. 27

3. 36

4. -200

Find the coordinates of a point that divides the directed line segment PQ in the ratio 5:3.

Question 7 options:


A)


(4, 1)


B)


(4, 5)


C)


(2, 2)


D)


(–6, 6)

Answers

Answer:

B ......................

PLS HELP WILL MARK BRAINLIEST!

Answers

Answer:

10 adults

Step-by-step explanation:

Convert 50 kg into pounds:

50*2.2 = 110 lbs

Number of adults the elevator can take:

1200 / 110 = 10 (rounded down)

Answer:

The Elevator can hold 10 adults

Step-by-step explanation:

Step 1- Convert kg to lbs to get 110lbs

Step 2- Divide 1200 (the elevators max compacity) by 110 to get 10

Step 3- The elevator can hold 10 adults

-Rocketgamer360

Shiva drank 2 3 liter of water Monday before going jogging. She drank 3 7 liter of water after her jog. How much water did Shiva drink altogether?

Answers

Answer:

2/3 = 16/243/8 = 9/2416/24 + 9/24 = 25/2425/24 = 1 and 1/24

Step-by-step explanation:

I NEED TO FINISH THESE BY NEXT WEEK

Answers

Answer:

Multiply both sides by 6:  4x - 42 = 5

Step-by-step explanation:

(2/3)x - 7 = (5/6)

Multiply both sides by 6:  

6*(2/3)x - 6*7 = 6*(5/6)

(12/3)x - 42 = 5

4x - 42 = 5

Put the following decimals in order from
least to greatest
{0.067, 0.06, 0.007, 0.09, 0.0076)

Answers

It’s not true even tho u think it’s true but it’s not

Carlos bought 17 boxes of cereal. This is 20% of the total boxes at the store. In order to find the total number of boxes at the store, what do you need to find?


A) the part

B) the whole

C) the percent

D) benchmark percent

Answers

Answer:

The whole

Step-by-step explanation:

If the part is 20% then you already have a part of a whole, now you need to find the entire thing

pls help!! need it to study fr the exam tmrw​

Answers

Answer:

[tex] \frac{88}{4} \\ 22 \\ here \: u \: go[/tex]

Answer:

22 cm

Step-by-step explanation:

The angle subtended at the centre by the arc is 90°

This represents [tex]\frac{90}{360}[/tex] = [tex]\frac{1}{4}[/tex] of the circle

The arc length will be quarter of the circumference, that is

arc = [tex]\frac{1}{4}[/tex] × 88 = 22 cm

Find the roots of the equation: 6y^2 + 24 = 0

Answers

Answer:

y = ±2i

Step-by-step explanation:

6y^2 + 24 = 0

Divide both sides by 6

y^2 + 4 = 0

Subtract 4 from both sides

y^2 = -4

Take the square root of both sides

y = ±√-4

y = ±2√-1

y = ±2i

Answer:

Step-by-step explanation:

6y^2+24=0

/6

y^2+4=0

y^2=-4

y=±[tex]\sqrt{-4}[/tex]

y=±[tex]\sqrt{4}[/tex] i

The swim coach is planning to attend the district swim meet next week. She must decide who will swim the different events. Find the combined time of her star swimmers as well as the difference of their times for the 25-Meter Freestyle.

The combined Time is ------ seconds

The difference of Times is ------- second

Answers

Answer:

the combined time 55.316

diffrence of times 0.856

Step-by-step explanation:

its 6th grader math

Answer:

55,316 0.856

Step-by-step explanation:

7≥ 3x + 4 is it 4, 1, 2 or -1

Answers

Answer:

x≤1

Step-by-step explanation:

7≥3x+4

Intercambie los lados para que todos los términos de las variables estén en el lado izquierdo. Esto cambia la dirección de la señal.

3x+4≤7

Resta 4 en los dos lados.

3x≤7−4

Resta 4 de 7 para obtener 3.

3x≤3

Divide los dos lados por 3. Dado que 3 es >0, la dirección de desigualdad sigue siendo la misma.

x≤  

3

3

 

Divide 3 entre 3 para obtener 1.

x≤1

parallel perpendicular or neither

Answers

It should be perpendicular

67 is 0.12% of what number?

Answers

we have 67/x . 100% = 0.12 %

so x = 67.100%/0.12% = 55833,(3) ≈ 56

ok done . Thank to me :>

Help please Ill give brainlest!

Answers

Answer:

1. A.

2. C.

Step-by-step explanation:

1. these angles are corresponding because if the line passes through parallel lines 1-6, 2-5,3-7,4-8 will all be corresponding angles

2.

Since 2 and 5 are corresponding angles they will have the same degree measures

If Nicole is tardy to class again, she will get detention. If Nicole gets detention, her mother will take her phone. What’s the conclusion?

Answers

Answer:

She needs to get to class on time

Step-by-step explanation:

If shes tardy shes going to get detention which will lead to her phone getting took.

Everyone loved Caroline's cookies so much that they ate them all! She wants to make some more to eat at
home, but would only like to make 1 dozen cookies. How much of each ingredient will she need? Rewrite
the recipe so that it will only make 1 dozen cookies.

Answers

Which one is the original sentence?
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