Find the exact length of the third leg

Find The Exact Length Of The Third Leg

Answers

Answer 1
6^2+x^2=8^2 so 64-36=28. So that’s the answer
Answer 2
First of all, we are going to use Pythagorean theorem ( a^2+ b^2=c^2 ) to find x, the third leg. We know a=6 and c=8, we are looking for b, so we plug in the numbers. 6^2+ b^2=8^2. We simplify and get 36+ b^2= 64. Afterwards, we subtract 36 from both sides to isolate b^2. We get that b^2= 28. We then square root both sides (√b and √28), to isolate b, and we get that b= 5.291502622129181. Rounding to the nearest hundredths the answer is 5.29.

Related Questions

PLEASEE HELP!!!!30 POINTS


Charles plots the point with the polar coordinates (−5,−3π/4). How does he plot this point?

Charles first determines which line the angle of rotation places the point on. This line tells Charles that the point must lie in _____ a if r is positive or ____ if r is negative.

The radius of 5 tells Charles that the point lies on the fifth circle of the polar plane. The value of r is negative. Therefore, the point will lie _____ the angle of rotation.

Answers

Answer:

This line tells Charles that the point must lie in Quadrant 3 if r is positive or Quadrant 1 if r is negative.

The value of r is negative. Therefore, the point will lie in the opposite quadrant as the angle of rotation.

Step-by-step explanation:

With polar coordinates the first value represents the distance from the origin and the second value represents the rotation from 0. In this case the distance from the origin value is negative, which means it will be in the opposite quadrant to the angle of rotation.

(-5, −3π/4) results in the same point as (5, π/4)

A rotation of −3π/4 results in the same rotation as 5π/4

The rotation results in Quadrant 3 but because the distance value is negative the final resulting point is in Quadrant 1.

Translate the sentence and solve: "4 is 2 less than double a number".
x = -2
x= 2
х=-3
x= 3

Answers

Answer: x = 3

Step-by-step explanation:

you would double each number meamong multiply by 2 until you get the opposite of 4 being 2 less of a number so 6.

3 x 2 = 6

and 2 less than 6 is 4 so theres your answer :)

Let ​ f(x)=x2+6x+11 ​. What is the minimum value of the function? Enter your answer in the box. ​

Answers

Answer:

(

3

,

2

)

Step-by-step explanation:

Answer:

the answer is 2

Step-by-step explanation:

took the test

Please help me with my math question
I will give brainliest!!!!!

Answers

Answer:

approx. 13.33%

Step-by-step explanation:

12 divided by 90 is 13.33333333333333 that goes on forever so just cap it at 13.33  

please mark brainliest :)

Answer:

13%

Step-by-step explanation:

see how may time 12 can convert

Write 2x(3x) + 2x(5) in factored form.

Choose 1 answer:
A. 2x(3x + 5)
B. (2x)(3x)(5)
C. 6x^2+ 10x

Answers

Answer: a

Step-by-step explanation:

The expression 2x(3x) + 2x(5) is factored into 2x(3x + 5). Hence, the correct option is A.

The expression 2x(3x) + 2x(5) can be written in factored form by taking out the common factor, which is 2x. The factored form is 2x multiplied by the sum of 3x and 5, which is represented as 2x(3x + 5). This matches with option A of the choices provided.

Which expression has the largest coefficient. Will mark brainliest. Plz include explanation.

Answers

Answer:

Expression 3

Step-by-step explanation:

State that a coefficient is a multiplicative factor, is a number in front of a variable, in some term of a polynomial.

The coefficients of the expression 3, for example, are 3, 7 and 24.

Expression 3 has the largest coefficient which is 24.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expressions are

Expression 1:

x+12y²+13y+30

Expression 2:

2x+14y²+11y+13

Expression 3:

3x+7y⁴+24y+12

Expression 4:

4x+13y⁵+12y+11

In the first expression the coefficients are 1,12,13.

Coefficients in 2 nd expression are 2,14,11

Coefficients in 3 rd expression are 3,7,24.

Coefficients in 4 th expression are 4, 13, 12.

By observing all the expressions we find that 24 is the largest coefficient.

24 is the coefficient of third expression.

Hence, Expression 3 has the largest coefficient which is 24.

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Using n as the variable for the problem, solve for n.
Hosting a party for 24 people, you plan to serve pizza for dinner. Each pizza
has 8 slices. How many pizzas must you buy so each guest gets at least 2
slices?
A. n> 6
B. n<_5
C. n>_5
D. N>_6

Answers

Answer:

b

Step-by-step explanation:

thats the answer ^^^

Answer: n=6

Step-by-step explanation:

(24 divided by 8)x2

Need help... just part b

Answers

Answer:

I remember isosceles from the I sounding like eye and we have 2 eyes.

An isosceles triangle has two sides that are the same. We know the sides are the same because of the picture and if we subtract the angles 80 + 50 = 130 180-130=50 so that means that both A and C are 50 degrees so the triangle is isosceles.

My grammar isn't the best so you can make some edits but overall basically there are two sides that are the same.

Step-by-step explanation:

Estimate the length. Then use cubes to measure

Answers

Answer:

10 cubes

Step-by-step explanation:

Write the general solution to y = arcsin 0

Answers

Answer:

y=+/- π k

Step-by-step explanation:

The general solution of the given function is [tex]y=0[/tex]

Inverse trigonometric function:

Inverse trigonometric functions are simply defined as the inverse functions of the basic trigonometric functions which are sine, cosine, tangent, cotangent, secant, and cosecant functions.

Given function is,

                        [tex]y=sin^{-1}(0) \\\\y=0[/tex]

The general solution of the given function is [tex]y=0[/tex]

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A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as x + 2x + 6 < 50, where x represents the smaller number. From the set {13, 14, 15, 16, 17}, the values of x for which the inequality holds true are .

Answers

Answer:

First, you have to simplify the inequality and solve for x.

x + 2x + 6 < 50

3x + 6 < 50

3x < 44

x < 14 2/3

 

So, you now have another set of numbers, {13, 14, 15, 16, 17}, and you know x must be smaller than 14 2/3. The only two numbers in that set that works are 13 and 14, making A: {13, 14} the correct answer. 

The only choice that fits is A.

Please help for 19 points if good enough

Answers

Answer:

X and triangle

A polygon is anything with straight lines and no holes

Step-by-step explanation:

Answer:

the x and triangle are polygons.

Find the distance between points A(5, 4) and B(2, 0)

Answers

Answer:

The distance between point A and point B is 5 units

Which equation is represented by the graph below?
y= e^x +5
y= e^x +5
y= In x+4
y= ln x+5

Answers

Answer:

C) y= In x+4

Step-by-step explanation:

Took the test and got it right. Hope it helps

Answer: B

Step-by-step explanation:

on edg

Explain when the median of a data set is a better
measure of center than the mean.

Answers

Answer:

SAMPLE ANSWER

Step-by-step explanation:

When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.

The median is a better measure of center than the mean in situations where the data is skewed or contains extreme outliers.

What is a median?

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

The median and mean are both measures of central tendency used to describe the center of a data set.

The mean is the sum of all the values in a data set divided by the total number of values, while the median is the middle value when the data set is ordered from least to greatest.

The median is a better measure of center than the mean in situations where the data is skewed or contains extreme outliers.

For example, in a data set where one or a few very large or very small values are present, the mean will be influenced by these values, and will not be representative of the central tendency of the data set as a whole.

In such cases, the median is a more appropriate measure of the center as it is not influenced by outliers and better represents the "typical" value in the data set.

Thus,

When a data set is skewed or contains outliers, the median is a better measure of the center than the mean.

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please help. find the missing side​

Answers

Answer:

x = 10

Step-by-step explanation:

This is because the formula of the area of a triangle is b x h divided by 2.

Since 8 is the base, you have to find what to multiply it by to get 80 (since 80 divided by 2 is the answer, 40).

80 divided by 8 is 10, therefore the base, or x, is 10.

You can put it in the formula to double check and it will equal 40.

An investing group has $50,000 to invest. They put the money in an account that has an annual interest rate of 6%, compounded monthly. How much money will the group have at the end of 10 years?

Answers

The investing group will have $90970 at the end of 10 years.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

We can use the formula for compound interest to solve this problem:

[tex]A = P(1 + r/n)^(^n^t^)[/tex]

where A is the total amount,

P is the principal

r is the annual interest rate,

n is the number of times the interest is compounded per year, and

t is the number of years.

P = $50,000, r = 0.06, n = 12 and t = 10.

Substituting these values into the formula, we get:

A = 50000(1 + 0.06/12)¹²⁰

A = 50000(1.005)¹²⁰

A=$90970

Therefore, the investing group will have $90970 at the end of 10 years.

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Write the first six terms of the sequence.

ao = -5, An = 3an-1 + 12

Answers

Answer:

The first six terms of the sequence are -3, 3, 21, 74, 234 and 714

Step-by-step explanation:

Given the initial value a0 = -5 and the general form of the sequence given as An = 3an-1 + 12

To get the first six terms of the sequence, we will substitute for n=1 up to n= 6 in the general equation.

when n=1

A1 = 3a(1-1)+12

A1 = 3a0+12

A1 = 3(-5)+12

A1 = -15+12

A1 = -3

when n=2;

[tex]A2 = 3a(2-1)+12\\A2 = 3a1+12\\A2 = 3(-3)+12\\A2= -9+12\\A2= 3\\\\A3= 3a(3-1)+12\\A3= 3a2+12\\A3 = 3(3)+12\\A3= 9+12\\A3= 21\\\\A4= 3a(4-1)+12\\A4 = 3a3+12\\A4= 3(21)+12\\A4= 63+12\\A4 = 74\\\\A5= 3a(5-1)+12\\A5 = 3a4+12\\A5= 3(74)+12\\A5= 222+12\\A5 = 234\\\\\\A6= 3a(6-1)+12\\A6 = 3a5+12\\A6= 3(234)+12\\A6= 702+12\\A6 = 714\\[/tex]

The first six terms of the sequence are -3, 3, 21, 74, 234 and 714

PLEASE HELP I NEED ANSWER!!

Answers

Answer:

49 pie or 153.9

Step-by-step explanation:

A=pie r^2

A=pie×49

A=49 pie

Using the quadratic formula to solve 2x2 = 4x – 7, what are the values of x?

Answers

You have to make sure you follow this step by step

Step-by-step explanation:

Step 1:  Subtract 4x from both sides

[tex]2x^2 - 4x = 4x - 4x - 7[/tex]

[tex]2x^2 - 4x = -7[/tex]

Step 2:  Add 7 to both sides

[tex]2x^2 - 4x + 7 = -7 + 7[/tex]

[tex]2x^2 - 4x + 7 = 0[/tex]

Step 3:  Use the Quadratic Formula

[tex]x = \frac{ -b \pm \sqrt{b^2 -4ac} }{2a}[/tex]

[tex]x = \frac{ -(-4) \pm \sqrt{(-4)^2 - 4(2)(7)} }{ 2(2 )}[/tex]

[tex]x = \frac{ 4 \pm \sqrt{-40} }{4}[/tex]

[tex]x = \frac{4 \pm2i \sqrt{10} }{4}[/tex]

[tex]x = \frac{2 \pm i\sqrt{10}}{2}[/tex]

Answer:  [tex]x = \frac{2 \pm i\sqrt{10}}{2}[/tex]

If the endpoints AB of have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of ? AB

Answers

Answer:

(4,3)

Step-by-step explanation:

The coordinate of midpoint of two end points (x1,y1) and (x2, y2) is given by

[tex]( \frac{x1 + x2}{2} \: \: \: \: \: \frac{y1 + y2}{2} )[/tex]

Here, x1=9 y1=8

x2=-1 and y2=-2

So the midpoint of AB is

[tex]( \frac{9 + ( - 1)}{2} \: \: \frac{8 + ( - 2)}{2} \: )[/tex]

[tex] (\frac{9 - 1}{2} \: \: \frac{8 - 2}{2} \: \: ) \\ ( \frac{8}{2} \: \: \frac{6}{2} \: )[/tex]

(4,3)

Answer and Step-by-step explanation:

GIVING AWAY BRAINLIEST
In a rectangle ABCD the diagonals intersect each other at point O, E is a midpoint of the side AB , and m∠BAC = 50°. Find the measure of angle EOD.

Answers

Answer:

130°

Step-by-step explanation:

In the picture attached, the rectangle can be seen.

We know that m∠BAC = 50°, then m∠ADB is also 50°. m∠AOE must be 180° - 90° - 50° =  40°, and m∠OAD = 90° - 50° = 40°, then m∠DOA = 180° - 40° - 50° = 90°. Finally m∠EOD = m∠DOA + m∠AOE =  90° + 40° =  130°

Answer:

140 degrees

Step-by-step explanation:

Please help! Will mark Brainliets (when it will let me, but answer has to be right!) (I have 3-4 other questions that need to be answered, if possible please answer them) Stay Safe!

Answers

Answer:

It is A

Step-by-step explanation: It's the same as finding the area of a cube but you have to divide by 2

Answer:

300

Step-by-step explanation:

To find the volume of a prism (it doesn't matter if it is rectangular or triangular) we multiply the area of the base, called the base area B, by the height h. 6x10=60 which is the base times the height 5 and you get 300.

Hope this helps!

If one factor of 21xy
3
2.2 2.
15x y is 3xy-, what is the other factor?

Answers

Answer:

if u answer my last question i will answer yours

Step-by-step explanation:

Solve equation. Justify your answer by checking your solution. -5(3m+10)+4m=126 someone please help I'm taking the unit 2b test I'm in 8th grade pass help !!

Answers

Answer: M = -16 hope this helps!!!!

Step-by-step explanation:

Which statements about this figure are true? Select all
that apply
It is a triangular pyramid.
It is a rectangular pyramid.
It is a triangular prism.
It has 5 vertices.
It has 5 edges
It has 5 faces

Answers

Answer:

b , d, f

Step-by-step explanation:

on edge

The statements that are true about the considered figure (given below) are given by: Option C: It is a triangular prism, Option F: It has 5 faces

What is a triangular pyramid?

Take a traingle. This is a base. Now take 3 triangles such that each of them are connected to one-one side of the first traingle and when they're taken together, they form a closed object, called as a triangular pyramid

What is a rectangular pyramid?

Take a rectangle. This is the base. Now take 4 triangles such that each of them are connected to one-one side of the base rectangle and when they're taken together, they form a closed object. That shape is called rectangular pyramid.

What is a triangular prism?

Connect three rectangles edge to edge. Now close their triangular mouths from both ends. That shape is called a triangular prism.

What are vertices, faces and edges?

Faces are planar mathematical objects. Like a triangle, a rectangle etc. Edges are those line segments, which are on the edge of the faces (of some object considered).

Vertices are points of intersections of different edges.

The missing figure is attached below.

It consists of 3 rectangles joined edge to edge, and have two triangular ends in the shape they form, thus, making a triangular prism.

There are 6 vertices of a triangular prism, here for this figure, they're named as A,B,C,D,E,FThere are 9 edges of that object AB, AC, AE, BF, BC, CD, ED, FD, EFThere are 5 faces (2 triangles and 3 rectangles). ABC, DEF, ACDE, BFEA, BCFD

Thus, the statements that are true about the considered figure (given below) are given by: Option C: It is a triangular prism, Option F: It has 5 faces

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Solve each of the quadratic equations.
0 = 5.
3x = 0.522
o x = -6 or x = 0
0 x= -4 or x = 3
o x= -2 or x = 1.5
O x = 0 or x = 6
DONEC
DON

Answers

Answer:

1.

3x = 0.5x2

x = -6 or x = 0

x = -4 or x = 3

x = -2 or x = 1.5

x = 0 or x = 6

2.

0 = 5x2 - 2x + 6

D. & C.

solve the following system x=3 y=3x-1

Answers

Answer:

x = 3

y = 8

Step-by-step explanation:

Since it gives you x, you need to plug in the number given for it into the equation:

y = 3x - 1

y = 3(3) - 1

y = 9 - 1

y = 8

So now you have, x = 3 and y = 8

Which of the following is(are) the solution(s) to 4 |x+3|>8

Answers

Answer:

x>-1              or        x<-5

Step-by-step explanation:

4 |x+3|>8

Divide each side by 4

4/4 |x+3|>8/4

|x+3|>2

Absolute value inequalities have 2 solutions, one positive and one negative

Remember to flip the inequality when finding the negative solution

x+3 >2      or       x+3 <-2

Subtract 3 from each side

x+3-3>2-3    or     x+3-3 <-2-3

x>-1              or        x<-5

Which function is graphed below?

Answers

Answer:

f(x)=cos(x)

The amplitude is equal to 1. The period is 2π.

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