Solve for the unknown side of each right triangle

Solve For The Unknown Side Of Each Right Triangle

Answers

Answer 1

Answer:

x = 4.4 cm

Step-by-step explanation:

Since this is a right triangle, the Pythagorean Theorem applies:  a^2 + b^2 = c^2, where a and b are leg lengths and c is the length of the hypotenuse.

Thus, (5.3 m)^2 + x^2 = (6.9 m)^2, or, solving for x^2:

x^2 = (6.9 m)^2 - (5.3 m)^2, or

x^2 = 47.61 - 28.09 = 19.52

Then the length, x, of the unknown side is x = +√19.52 m, or

x = 4.4 cm


Related Questions

Fibd the distance and midpoint between each pair of points. C(-2,2) d(5,-3)

Answers

Answer:

D=[tex]\sqrt{10}[/tex] or about 3.2  M=(1.5,-0.5)

Step-by-step explanation:

D=[tex]\sqrt{(x2+x1)^2 +(y2-y1)^2}[/tex]   M=[tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]

Lets find the distance first:

D=[tex]\sqrt{(5+-2)^2 + (-3+2)^2}[/tex]

D=[tex]\sqrt{(3)^2+(-1)^2}[/tex]

D=[tex]\sqrt{9+1}[/tex]

D=[tex]\sqrt{10}[/tex]

D is about = 3.2

Lets find the midpoint now:

M= [tex](\frac{-2+5}{2} , \frac{2+-3}{2} )[/tex]

M=[tex](\frac{3}{2} ,\frac{-1}{2} )[/tex]

M= (1.5,-0.5)

simplify the expression.

20a^4 × (1/2 a^3 )^2

Answers

Answer:

5a^10

Step-by-step explanation:

Find the perimeter.Simplify your answer.

Answers

Answer:

20c+14

Step-by-step explanation:

To find the perimeter we have to add up all the sides

4c+6c+7+4c+6c+7

Combine light terms

20c+14

Answer:

Well your not given C so we just leave that be and we can just add up all 4 sides since perimeter means outside length total. Now when added up,

6c+7+6c+7+4c+4c= 20c+14

20c+14 is the perimeter

Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...

Answers

-146 is the 32nd term in the sequence

Answer:

-146

Step-by-step explanation:

so it seems that the sequence is moving down by 5, so therefore the sequnce would be as follows

9, 4, -1, -6, -11, -16, -21, -26, -31, -36, -41, -46, -51, -56, -61, -66, -71, -76, -81, -86, -91, -96, -101, -106, -111, -116, -121, -126, -131, -136, -141, -146

the 32nd term would be -146



. Find the range of the function y
1/4x +1 if the domain is {-8, -4, 0}.


Answers

The range of a function is the possible output values the function can have.

The range of the function is all real values except 0

The function is given as:

[tex]\mathbf{y = \frac{1}{4x + 1}}[/tex]

When the denominator of the function is 0, the function would not have a real value.

This means that:

[tex]\mathbf{y \ne 0}[/tex]

i.e. the value of y cannot be 0.

Hence, the range of the function is all real values except 0

Read more about domain and range at:

https://brainly.com/question/21853810

Events A and B are disjoint. Find P(AorB) when P(A) = 0.55 and P(B) = 0.2

P (A or B)=

Answers

Answer:

0.75 = P(A or B)

Step-by-step explanation:

Since the events are disjoint, we can find the probability of one or the other occurring merely by adding P(A) and P(B):  0.55 + 0.2 = 0.75 = P(A or B)

Plz help .!$&&&&&&&&&

Answers

The thing dosnet show

Evaluate the expression for x = 5:

2•(x-2)^2+5​​

Answers

Answer:

2•(x-2)^2+5​​       3x + 3 = x + 13, 3x = x + 10, 2x = 10, and x = 5.

I hope that this helps :P (and thx for the ez pointsss)

write each power as a product of the same factor. Then find the value. 4^4

Answers

Answer:

256

Step-by-step explanation:

4^4 means 4raise to power 4. so, it's typically 4x4x4x4 which is 256

Given the Points (0,4) and (3,2) answer the following:
a. what is the equation of the line that goes through these points in
Slope-Intercept Form.
b. What is the x-intercept?
c. What is the y-intercept?

Answers

Answer:

a. y = -2/3(x) + 4

B. 2

C. 4

Step-by-step explanation:

The gradient, m = (2-4)/(3-0) = -2/3

A. To find the equation of the line we use:

y - y1 = m(x - x1).

We can pick any of the above points, if any of them is picked you will be getting the same answers regardless.

We will pic points (0, 4)

Substitute it in the equation.

=> y - 4 = (-2/3) (x - 1)

cross multiple or multiple through by 3. (same thing basically) and evaluate y and x.

=> y = (-2/3)x +4..

(ps: this x is a variable)

B. To find the x-intercept of an equation y = 0, substitute and evaluate for x form the equation of the line

C. To find the y-intercept in an equation x = 0, substitute and evaluate for y from the equation of the line

onique bought 2 hot dogs and 1 large soda. She spent $7. Scott
bought 4 hot dogs and 1 large soda. He spent a total of $12.
What is the cost of one hot dog and one large soda?

Answers

Hot dogs are $2.50 and drinks are $2.00

1 year = 12 months
3/4 year =

Answers

Answer:

3/4 year = 9

Step-by-step explanation:

To find 3/4 of a year you first need to find 1/4 of a year so you do 12/4 and get 3. Now we know that 1/4 of a year is 3 months so you just multiply that by 3 to get 9. So 3/4 of a  year is 9 months.

I hope this helps!

Your answer to 3/4 of a year is 9 months

Select the correct answer.
If you roll a fair die twice, what is the probability of getting an even number at least once?

A.
0.75

B.
0.36

C.
0.5

D.
0.25

Answers

D because the original probability is 0.50 however rolling the die again would split the chances to 0.25

Answer:

A

Step-by-step explanation:

Got this right on edmentum

The area in square feet of a rectangular field is x^2-80x+1500. the width, in feet, is x-30. what is the length in feet.

Answers

Answer:

Step-by-step explanation:

Area = x² - 80x + 1500

        = x²  -30x - 50x + 1500

       = x(x - 30) - 50(x - 30)

        = (x -30) (x - 50)

Length =(x -50) ft

Complete the description of the piecewise function graphed below.

Answers

Step-by-step explanation:

not everything is visible, and the points' coordinates have to optically estimated (particularly for the leftmost point).

I assume, we have the following points :

(-6, 1.5) (-3, 3)

(-3, 2) (1, 2)

(1, 1) (6, -9)

all 3 segments are lines with the basic function definition

y = ax + b

a is the slope of the line function and is always the factor of x.

it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.

b is the y-intercept (the y value when x = 0).

the first segment goes from (-6, 1.5) to (-3, 3).

x changes by +3 units (from -6 to -3).

y changes by +1.5 or 3/2 units (from 1.5 to 3).

the slope of the line is 3/2 / 3 = 3/(2×3) = 1/2

giving us the first part

y = (1/2)x + b

b we get by using the coordinates of one point (e.g. -3, 3) as x and y values and solve for b :

3 = (1/2)×-3 + b

3 = -3/2 + b

6/2 + 3/2 = b

9/2 = b

the full equation is

y = (1/2)x + 9/2 = (x + 9)/2

the second segment is a flat, horizontal line and is simply

y = 2

the third segment goes from (1, 1) to (6, -9) :

x changes by +5 units (from 1 to 6).

y changes by -10 units (from 1 to -9).

the slope of the line is -10/5 = -2

giving us the first part

y = -2x + b

b we get by using the coordinates of one point (e.g. 1, 1) as x and y values and solve for b :

1 = -2×1 + b

1 = -2 + b

3 = b

the full equation is

y = -2x + 3

The answer is in the pic below!

5. The lengths of the sides of a triangle are x, 2x + 1 and 5x + 4 inches. If the perimeter is 53
inches, what is the value of x?
Equation: Xt2x+/+5x+4-53
Solution:

Answers

Answer:

x = 6

Step-by-step explanation:

The perimeter is the sum of the 3 sides

Sum the 3 sides and equate to 53

x + 2x + 1 + 5x + 4 = 53 , simplify left side

8x + 5 = 53 ( subtract 5 from both sides )

8x = 48 ( divide both sides by 8 )

x = 6

2. A trader received a commission of 25 percent on the sales he made in a month. His commission was CH¢ 180.00. find his total sales for a month. ​

Answers

Answer:

CH¢ 720.00

Step-by-step explanation:

25% commission equals 180.00

Total sales amount is x:

x*25/100 = 1800.25x = 180x = 180/0.25x = 720

2x2-2x3-2x4-2x5-2x6-2x7

Answers

Answer:

-46

Step-by-step explanation:

first multiply

add

and last subtract

2x2-2x3-2x4-2x5-2x6-2x7=-46

which one is it please do this quick!

Answers

Answer:

B

Step-by-step explanation:

The answer is B because Figure JKML is a result of PQRS by a scale factor of 3

You can verify this because the distance from J to K is 6 and the distance from P to Q is 2, from 2 to get to 6 you need to multiply 2 by 3 meaning JKML would be the dilation of figure PQRS by a scale factor of 3

How do I graph y=-2x+7?

Answers

Answer:

Step-by-step explanation:

1) What is the measure of A) 350
B) 60°
C)110°
D) 120

2) Given that A)35
B)60
C)65
D)120

Answers

Answer: I believe that answer is D.

Step-by-step explanation:

-The angle below it is also 120 degrees.

-It definitely can’t be 35 or 60 degrees because the angle is bigger than a right angle.

Right angle-is 90 degrees exactly

Hope this helps!

What is the value of x?
A) 3
B) 6
C) 8
D) 1

Answers

It is c because it is I just did if give me Brainly

Answer:

I'm amusing its the answer is C

ONLY BOTS WITH LINKS KEEP ANSWERING MY QUESTION PLEASE SOMEONE HELP ME WITH THIS

Answers

Answer:

the figure A was rotated 145° over the origin(0,0), and flipped over the x-axis, and for last it was moved 4 to the right and 1 down (x+4,y-1)

A food truck sells tacos, burritos, and drinks.
Let event A = A customer buys a taco.
Let event B = A customer buys a drink.
What does PA or B) = 0.55 mean in terms of this problem?
A. The probability that a customer buys both a taco and a drink is
55%.
B. Buying a taco and buying a drink are mutually exclusive events.
C. The probability that a customer buys neither a taco nor a drink is
55%.
O D. The probability that a customer buys a taco, a drink, or both is
55%.

Answers

Answer:

D. The probability that a customer buys a taco, a drink, or both is

55%.

1.8 0.087 − 0.947 + 2.2 0.044

Answers

Answer:

2

Step-by-step explanation:

im smart

What is the equation of a line with a y-intercept at (0, 2) and a slope of 3? a. y = 2 x + 3 c. y = 3 x + 2 b. y = 3 x minus 2 d. y = negative 2 x + 3

Answers

Answer:

C) y = 3x + 2

Step-by-step explanation:

Given the slope of the line, m = 3, and the coordinates of the y-intercept, (0, 2).

We can substitute these values into the following slope-intercept form, y = mx + b, where:

m = slope

b = the y-coordinate of the y-intercept.

Therefore, the correct answer is option C, where it shows the equation of the line in slope-intercept form is: y = 3x + 2.

What is the Factor of 3/9+8/9

Answers

Step-by-step explanation:

the lcm is 9 so....

3/9+8/9

multiply both sides by their lcm which is 9...

so....

9 (3/9)+9 (8/9)

3+8=11

What is the value of y? y = 40 y = 80 y = 100 y = 120.

Answers

Answer:

I think it is 80. But I am also not sure because this question is not briefly described.

Answer:

80

Step-by-step explanation:

got it right on edge

Write the equation of a horizontal line going through the point (8, -1)

Answers

Answer:

y =-1

Step-by-step explanation:

An easy way to answer any type of these questions is looking at the part where it said "Write the equation of a horizontal line", if this is the case you have to look at the 2nd point given to you which is -1 and simply make y = to that. Having y = -1 covers every possible x value which is why it is valid.

FOR 3 graders learn and pay attention in class its important Ask me any multiplacation equation or time tables

Answers

Answer:

c

Step-by-step explanation:

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