Given 45-45-90 triangle with hypotenuse of 3cm solve for the other sides.

Answers

Answer 1

Answer:

[tex]\sqrt{\frac{9}{2} }[/tex]

Step-by-step explanation:

Given dimensions:

   The right angle system is a 45 - 45 - 90

    Hypotenuse  = 3cm

Unknown:

Adjacent and opposite sides = ?

Solution:

In this triangle, the adjacent and opposite sides are equal to one another. So,

 Let adjacent  = y

        opposite  = y

For right angle triangles as this, using the Pythagoras theorem,

           hypotenuse²  = adjacent² + opposite²

 Insert the parameters and solve;

                    3² = y² + y²

                    2y²  = 9

                       y² = [tex]\frac{9}{2}[/tex]

                       y = [tex]\sqrt{\frac{9}{2} }[/tex]


Related Questions

Some equations have the form y=kxy=kx, where kk is a number.

Which equation CANNOT be written in the form y=kxy=kx?​

Answers

Answer:

[tex]x = 4y[/tex]

Step-by-step explanation:

Given

[tex]y = kx[/tex]

See attachment for options.

Required

Determine which of the options answers the question

Analyzing the option one after the other:

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

Multiply through by y

[tex]y * \frac{x}{y} = 4 * y[/tex]

[tex]x = 4y[/tex]

Divide through by 4

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

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

This can be rewritten as

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

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

By comparison with [tex]y = kx[/tex]

we have:

[tex]y = y[/tex]

[tex]x = x[/tex]

[tex]k = \frac{1}{4}[/tex]

Hence: this answers the question.

Melissa collects data on her college graduating class. She finds out that of her classmates,40%are brunettes ,30%have blue eyes and 5% are brunettes that have blue eyes. What is the probability that one of melissa's classmates will be a brunette or have blue eyes?

Answers

20% is the answer cuz yes

write each number in standard form and word form
11. 654 thousand, 321
12. five six point nine nine ​

Answers

11. 654,321

12. 56.99

Answer:

11. Standard form: 654,321

12. Standard form: 56.99

Word Form:

11. Six hundred fifty four thousand, three hundred twenty one

12. Fifty six point ninety nine

I hope this helps!

Order from least to greatest

Answers

Answer:

|-3|, |-3.52|, |8|, |-11|

Step-by-step explanation:

Hope this helps my guy

Answer:

Well, this is fairly simple.

Step-by-step explanation:

Those |  | on either side of all the numbers are absolute value lines.

Those things are everyone's best friend. They turn every number positive, and essentially make your day better.

So, using that knowledge, I can look at your numbers and tell you with confidence that the correct order is |-3|, |-3.52|, |8|, |-11|.

If I'm wrong, go ahead, shoot me. Sounds lovely.

Find the midpoint of the line with endpoints G(-4,4) and H(6,4)

Answers

Answer:

(1,4)

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

A car company can make 200 cars per day. How many weeks will it take to
make 5,600 cars?

Answers

Answer:

4 weeks

Step-by-step explanation:

5,600/200 = 28

28/7 = 4

Answer:

4 weeks

Step-by-step explanation:

200x7=1400

5600/1400=4

3(4x - 2) > 7x + 19

Answers

Answer:

12x-6>7x=19

Step-by-step explanation:

please help me quickly the question is on the image

Answers

I’m not 100% sure but I think it’s y=5x+20

Find the area of the shape

Answers

Answer: 117(measuring unit)squared
Explanation: Length times width (9 times 13)

What supplies electricity in a circuit
A.the source
B.the conductor
C.the insulater
D.the wires

Answers

Answer:

B.the conductor

Step-by-step explanation:

A student is working two jobs over the summer to pay for a new car. The student gets paid $25 for each lawn that
is mowed ( 2 )and $15 for each pool that is cleaned (y). The student wants to earn $750 to pay for a down payment
on a car.


•What is the y-intercept

Answers

Answer:

y=50

Step-by-step explanation:

25(0)+15y=750

0+15y=750

15y=750

y=50

Rona filled out this information on her monthly statement. Find Rona's revised statement balance. Does her account reconcile?

Checking Account Summary

Ending Balance

$ 72571

Deposits

+ $610.00

Checks Outstanding - $ 471.19

Revised Statement Balance

Check Register Balance $ 864.52

Answers

Answer:

Revised statement balance=$ 864.52

Yes Rona's is account reconcile

Step-by-step explanation:

Calculation to Find Rona's revised statement balance

Using this formula

Revised statement balance=Ending balance+Deposits-Checks Outstanding

Let plug in the formula

Revised statement balance=$ 725.71+$610.00-$ 471.19

Revised statement balance=$ 864.52

Based on the above calculation the Revised statement balance of the amount of $ 864.52 is equal to the balance from checkbook which simply means that Rona's ACCOUNT is RECONCILE

Bicycle rentals cost $5.00 per hour for an adult and $2.50 per hour for a child.
A family with one adult and 2 kids decide to rent bicycles.
Which equation represents the relationship between the cost in dollars
for the family, c, and the time they rent the bicycles in hours, t?
A) c = 5.00t + 2.50
B) c = 7.50t
C) c = 5.00 + 2.50t
Dc = 10.00t

Answers

Answer:

B

Step-by-step explanation:

Have a good day!

If you want to graph the relationship to compare the unit prices, what should the x- axis and the y-axis represent

Answers

Answer:

it represents the following

read in my explanation

Step-by-step explanation:

A bar chart is a graph with rectangular bars. The graph usually compares different categories. Although the graphs can be plotted vertically (bars standing up) or horizontally (bars laying flat from left to right), the most usual type of bar graph is vertical.

The horizontal (x) axis represents the categories; The vertical (y) axis represents a value for those categories. In the graph below, the values are percentages.

Answer:

The unit price in this situation is the approximate cost per pound of clementines. So, the x-axis should represent the number of pounds. The y-axis should represent the cost.

Step-by-step explanation:

Plato correct answer word for word

could some one please help I'm not that good with math​

Answers

Answer:

D and E

Step-by-step explanation:

It is acute because all angles are under 90 degrees. This means that it cannot be F, obtuse. It cannot be A because A scalene triangle is a triangle in which all three sides have different lengths. It cannot be B either because it has 3 sides of equal angles. It cannot be right because non of the angles are 90 degrees. It is equilateral.

Hope this helps.

5.2sin20xsin?o=....​

Answers

Answer:

the answer is 0

Step-by-step explanation:

I hope this answer is correct

The answer is 0!
Hope this helps segsy pig

What are the values of x and y if this equation is true?

22(x + yi) + (28 + 4i) 72 – 62i

Answers

Answer:

x = 2

y = -3

Step-by-step explanation:

The given equation is,

22(x + yi) + (28 + 4i) = 72 - 62i

By solving this equation further,

22x + 22yi + 28 + 4i = 72 - 62i

(22x + 28) + (22y + 4)i = 72 - 62i

Now both the sides of the equation is in the form of complex number,

By comparing real and imaginary parts given on both the sides,

22x + 28 = 72

22x = 72 - 28

22x = 44

x = 2

22y + 4 = -62

22y = -62 - 4

22y = -66

y = -3

Therefore, x = 2 and y = -3 are the values for which the given equation is true.

Which of the following is the factor of 5x - 35?
A. 5(x - 7 ) B. 5(x + 7)
C. 7(x - 5) D. 7(x + 5)​

Answers

Answer:

a

Step-by-step explanation:

The answer above is correct

You take a cab to a restaurant. The final bill of $31.72 included an 18% tip for the driver. What was the original bill?

Answers

18% of 31.72=5.7096, 31.72-5.7096=26.0104, so $26.01 is the original bill’s cost.

Question 13
Find the value of x.

Answers

We need some more numbers to answer this.

Find the slope of the line from the graph.

Answers

Answer:will hope it help to find the answer with an unqualified

Step-by-step explanation:

The slope is +3 because the points are every 3 and it is positive because it is going up to the right

3
Rewrite the equation y= 3/7x + 4 in standard form.

Answers

Answer:

I think it is 3x-7y=-28

3y-7x-4. Multiply 3 on both sides to get it out of the division of 7x. Subtract 7x to move it to the other side, making 3y-7x=4

Please help!
What is the inverse of f(x)=x2 - 11 if the domain is x > 0

Answers

Inverse means to reflect the graph on the plane of y=x
Thus simply switch x with y and isolate y,
x = y2 - 11
y2 = x + 11
y = root (x + 11)

The inverse of f(x) is:

y = root (x + 11)
range is y is greater than 0

If you were to buy 3 1/8 pounds of ham from the deli counter, the digital scale would show

Answers

Answer:

3.125 pounds

Step-by-step explanation:

Digital scale would show weights in decimal form

3 1/8 = 3.125 pounds

Darryl earns $10 per hour tutoring students. if Darryl tutored for 25 hours this month, how much money did he earn this month​

Answers

Answer:

danny makes 250 per month

Step-by-step explanation:

Answer:

Darryl earned $250.00 in a month.

Step-by-step explanation:

The price of stock market in at 9 AM was 13.17 then the price has been increasing at a rate of 0.11 each hour at noon the price of stuff he was 13.67 it begins to decrease at the rate of 0.12 each hour if the two rates continue and how many hours were the prices of the two stocks with the same

Answers

Answer:

2.26 hours

Step-by-step explanation:

Given that:

Stock 1:

Initial price = 13.17

Rate of increase = $0.11 per hour

13.17 + 0.11h - - - (1)

Stock 2 :

Initial price = 13.69

Rate of decrease = 0.12 per hour

13.69 - 0.12h - - (2)

13.17 + 0.11h = 13.69 - 0.12h

0.11h + 0.12h = 13.69 - 13.17

0.23h = 0.52

h = 0.52 / 0.13

h = 2.26 hours

Which of the following best describes the English expression fourteen less
than the quantity of a number plus one?
A. (1 - x) +14
O B. 4 - 1
O C. (x + 1) - 14
D. (x - 1) +14

Answers

Answer:

c

Step-by-step explanation:

Algebra I need help!

Answers

Answer:

≤ ≥ > < is all of them

I need help please 20 points

Answers

Answer:

5^9

Step-by-step explanation:

subtract them. base (5) stays the same

What is the slope of the line that passes through the points (8,7) and (4, 5)? Write
your answer in simplest form.

Answers

Answer: 1/2

Step-by-step explanation: got it right

The slope of the line that passes through the points (8,7) and (4, 5) is 1/2.

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

The given coordinate points are (8, 7) and (4, 5).

Substitute (x₁, y₁)= (8, 7) and (x₂, y₂)= (4, 5) in slope formula, we get

Slope = (5-7)/(4-8

= -2/(-4)

= 1/2

Therefore, the slope of the line that passes through the points (8,7) and (4, 5) is 1/2.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ6

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