In XYZ right angled at Y. find the length of the hypotenuse if the length of the other two sides is 1.6 cm and 6.3 cm.

Answers

Answer 1

9514 1404 393

Answer:

  6.5 cm

Step-by-step explanation:

The Pythagorean theorem applies. You want c for a=1.6, b=6.3.

  c² = a² +b²

  c² = 1.6² +6.3² = 2.56 +36.69 = 42.25

  c = √42.25 = 6.5

The length of the hypotenuse is 6.5 cm.


Related Questions

What is the value of "2 + 3x" if x = ½? *

Answers

Answer:

3.5 or 3 1/2

Step-by-step explanation:

2 + (3*1/2) = 3.5, which is equal to 3 1/2.

Answer:

Mixed fraction: 3  1/2

Improper fraction: 7/2

Step-by-step explanation:

2+3/2

1  1/2+2= 3  1/2

A fitness club charges its members a one-time fee of $40 and a monthly rate of $25. Let m represent the number of months. Write an expression for the total amount paid after m months. Then find how much a customer will have paid after 5 months. 6.EE 2, 6.EE 2a, 6.EE.6 Expression: Cost:​

Answers

Answer:

40 + 25m

40 + 25(5) = $165 after 5 months

Step-by-step explanation:

40 + 25m

40 + 25(5) = $165

what is the solution of this proportion 4/9 = 6/d

Answers

Answer:

d = 2/27

Remember that when a variable is times with a number you divide the number on both sides.

When a variable is divided by a number, you multiply the number on both sides.

Hope this helps you and thank you !!

Margarita's gross paycheck last week was $204.75 from working 21 hours. What is her hourly pay rate?​

Answers

Answer:

$9.75

Step-by-step explanation:

This problem requires division. All factors are already provided in the problem, so all you have to do to solve this is divide 204.75/21, and get your answer! Hope this helps :)

$204.75 divided 21hours=$9.75/hr

Which statements for 63.372 are true? Check all that are true. The digit 2 is in the thousandths place. The digit 7 is in the hundredths place. The digit 7 is in the thousandths place. The digit 3 is in the tenths place. The digit 2 is in the tenths place. please help with this question

Answers

Answer:

sorry

Step-by-step explanation:

sana i review mo beh ng maayos..hehe wag puro tanong cge keep safe..

Two drawings are given below. Drawing 2 is a scale drawing and Drawings 1 is an original drawing.



The length of the bottom side of Drawing 2 is ______ cm. please help

Answers

Answer: 7.95

Explanation:

Find scale factor:

Scale factor = small length/larger length

Scale factor = 5.3/13

Find the bottom side of drawing 2:

19.5 x 5.3/13 = 7.95

what is the leading coefficient for the polynomial -3x^2-5x-4

Answers

The leading coefficient is -3
The leading coefficient is -3. This is because leading coefficient is always the constant in front of the x value with the highest square root.

HELP PLS DUE TOMORROW WILL GIVE BRAINLIEST

what information is necessary to prove the triangles congruent by SSS, and what information is necessary to prove the triangles congruent by HL? show work pls​

Answers

Answer:

SSS: LM = AB and MN = AC

HL: AC = MN

Step-by-step explanation:

✔️Information that is necessary to prove that both triangles are congruent by SSS are:

LM = AB

MN = AC

This will is because all three corresponding sides must be congruent to each other to satisfy the SSS Congruence criterion.

✔️Information necessary to prove that the triangles are congruent by HL:

We already know that one of the corresponding legs are congruent to each either. The additional information necessary to satisfy the HL Congruence criterion is to know the hypotenuse length of each which must be congruent to each other. This, information necessary would be:

AC = MN

Leonard has an enclosed glass cabinet to display his collectibles. It is a rectangular prism with glass on all sides, except for the base. The cabine is 5 ft. tall, 1 ft. wide, and 2 ft. long. How many square feet o glass is this display case made​

Answers

Answer:

2 feet

Step-by-step explanation:

for every 5 green apples there are 2 red apples what is the raito

Answers

Answer:

5:2

Step-by-step explanation:

5:2 and then 5/2 is 2.5

Determine if a triangle can have the given side lengths. If yes, which type of triangle is formed by the side lengths. Choose the correct answer for both rows of the table. HELP GODDD PLZ PLZ PLZ HELP

Answers

Answer:

B and H.

Step-by-step explanation:

By the triangle inequality, any two sides of a triangle must be greater than the remaining side.

Triangle 1)

The side lengths are 9, 40, and 41.

We only need to check the two smaller sides. 9 + 40 = 49 which is indeed greater than 41. Therefore, this is indeed a triangle.

Remember that if:

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

We have a right triangle.

[tex]c^2>a^2+b^2[/tex]

We have an obtuse triangle.

And if:

[tex]c^2<a^2+b^2[/tex]

We have an acute triangle.

In all of these, c is the longest side.

Therefore, we will substitute 41 for c and 9 and 40 for the others:

[tex]41^2\text{ }?\text{ }40^2+9^2[/tex]

Evaluate:

[tex]1681=1681[/tex]

Since the two values are equivalent, the first triangle is a right triangle.

Triangle 2)

Again, adding up the two smaller sides gives that 8 + 10 = 18.

However, 18 is less than 21, so it does not satisfy the triangle inequality.

Therefore, the given side lengths cannot form a triangle.

1. Which is greater 0.045 or 0.405?

Answers

Answer:

.038++++9675756-:-

Step-by-step explanation:

5582989(888888

The number 0.405 is greater than the number 0.045.

What is Decimal number?

A decimal number is a number that consists of a whole and a fractional part.

Given that;

The numbers are,

⇒ 0.045 and 0.405

Now,

In the numbers,

⇒ 0.045 and 0.405

The place value 4 in the number 0.045 = 4/100

And, The place value 4 in the number 0.450 = 4/10

Thus, The number 0.405 is greater than the number 0.045.

Learn more about the decimal number visit:

https://brainly.com/question/24342270

#SPJ2

round $74.91 to the nearest dollar​

Answers

Answer:$75

Step-by-step explanation:

Brhe

What is the equation of a line that contains the point (3, 5) and hasba slope of 3 in slope-intercept form?

Answers

Answer:

y= 3x - 5

Step-by-step explanation:

y= mx+b is slope-intercept form,

m= slope (3)

b= y-intercept (5)

Therefore, y = 3x - 5 is your form.

If you wanted to calculate it, you'd input the x value of 3, like y = 3^3 - 5 to find your slope intercept.

You have a job that pays $20.00 for each day you show up, plus $11.00 per hour. Which expression shows the amount you make in one day if you work for (h) hours?

Answers

Answer:

Step-by-step explanation:

20.00+ 11.00=31.00

31x24=744

ps u did not put how manny hours so my answer cant be correct

Estimate the area of a rectangle with length 5/8 foot and a width of 4/9 foot.

Answers

Hello there!

Area = Length * Width

Area = [tex]\frac{5}{8} * \frac{4}{9}[/tex]

Area = [tex]\frac{5}{18}[/tex]

Thanks!

~Garebear

What is the volume of this figure need help asap!!!

Answers

Answer:

312

Step-by-step explanation:

We can calculate by dividing it into 2 parts. The first part has length of 6, width of 4 and height of 2, so volume of this part is 48. Similarly, we can calculate that the volume of the second part is 264. Hence, the total volume is 312.

Answer:

Volume of the figure= 312 yd²

Step-by-step explanation:

Okay let's split this figure up into two different rectangles. Let's draw the line at the part of the rectangle that is nearest us (looking at the picture). The little part where it says 6 yd. and 4 yd.

We know volume is V= lwh

Start with the main rectangle (bigger one)

I see l=12, w=11, and h=2

So V(of main rectangle)=12x11x2

V(of main rectangle)=264

We have to go do the smaller rectangle now

I see l=4, w=6, but I know the h=2 because the height is the same as the main triangle.

So V(of smaller rectangle)=6x4x2

V(of smaller rectangle)=48

Now knowing the volume of the main and smaller rectangle, we have to add them to find the volume of the figure.

V(of smaller rectangle) + V(of main rectangle)

264 + 48

Volume of the figure= 312 yd²

CAN SOMEONE PLEASE HELP ME?

Solve the equation: (5x+1/2)^2=9/16

Answers

Answer:

x=-7/160

Step-by-step explanation:

If two triangles are similar what is true regrading the sides of the two triangles

Answers

Answer:

A triangle has 3 sides so if it has to  add up all the sides it will be 6 and if u r mine-sing it will be 3 so i think the answer is 3

Step-by-step explanation:

and that is my answer to the problem se ya

Super easy. I just dont feel like adding it up.

What is the total monthly income for a person who works 12 hours a week, earning a net pay of $9 per hour. And they also receive $15 each week from their parents.

What is his total income for the month?

Answers

Answer:

Step-by-step explanation:

lets assume that the month has 4 weeks

12h/week with 9 dollars/hour

week=12*9=108

108+15=123

123*4 weeks=492 dollars month total income

Answer:

492

Step-by-step explanation:

9*12=108. I used January for this. there 4 weeks in it. so !08*4+15*4=492

b. Name all three angles
listed in the figure below:
C. Solve for X

Answers

the angles are wer . rek . wek

Select the correct answer.
Identify the axis of symmetry of the function graphed below.

A. X=1
B. X=3
C. X=5
D. X=4

Answers

it’s b
x=3
found by the vertex

Answer:

B. ( X = 3 )

Step-by-step explanation:

it's correct edmentum/plato

3x+2x-13=47 solve for x
please show all the steps

Answers

X=21
See photo I provided below
3x+2x-13=47
5x-13=47
Add 13 from both side
47+13=60
5x=60
Divide 5x both Side to get x=12

Jill and a friend are going hiking. They bring with them a container that holds 1/2 of a gallon of water. If they share the water equally what fraction of a gallon will each friend get?

Answers

Answer:

¼

Step-by-step explanation:

Solution,

Total quantity=½ gallon

Each friends quantity=½/2

=¼ gallon

Juanita has 16 model cars and 48 model trains. What is the ratio of the wmber of trains to the member of cars?
O 13
O 14
O 3:1

Answers

Answer:

1:3

Step-by-step explanation:

but thats not and answer

A pair of fair dice is cast. Let Edenote the event that the number landing uppermost on the first die is a 1 and let Fdenote the event that the sum of the numbers falling uppermost is 5. Determine whether Eand Fare independent events.Show your calculationsby describing the sample space, theeventsE and F, and combinations of these events as needed.

Answers

Answer:

They are not independent

Step-by-step explanation:

Given

E = Occurrence of 1 on first die

F = Sum of the uppermost occurrence in both die is 5

Required

Are E and F independent

First, we need to list the sample space of a roll of a die

[tex]Event\ 1 = \{1,2,3,4,5,6\}[/tex]

Next, we list out the sample space of F

[tex]Event\ 2 = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,\[/tex]

[tex]6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}[/tex]

In (1): the sample space of E is:

[tex]E = \{1\}[/tex]

So:

[tex]P(E) = \frac{n(E)}{n(Event\ 1)}[/tex]

[tex]P(E) = \frac{1}{6}[/tex]

In (2): the sample space of F is:

[tex]F = \{5,5,5,5\}[/tex]

So:

[tex]P(F) = \frac{n(F)}{n(Event\ 2)}[/tex]

[tex]P(F) =\frac{4}{36}[/tex]

[tex]P(F) =\frac{1}{9}[/tex]

For E and F to be independent:

[tex]P(E\ and\ F) = P(E) * P(F)[/tex]

Substitute values for P(E) and P(F)

This gives:

[tex]P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}[/tex]

[tex]P(E\ and\ F) = \frac{1}{54}[/tex]

However, the actual value of P(E and F) is 0.

This is so because [tex]E = \{1\}[/tex] and [tex]F = \{5,5,5,5\}[/tex] have 0 common elements:

So:

[tex]P(E\ and\ F) = 0[/tex]

Compare [tex]P(E\ and\ F) = \frac{1}{54}[/tex] and [tex]P(E\ and\ F) = 0[/tex].

These values are not equal.

Hence: the two events are not independent

HELP ILL GIVE BRAINLESS DUE SOON

Answers

Answer:

D) 39

Step-by-step explanation:

The numbers, put in order, are:

30 32 32 36 42 43 44 45

The median (middle) is between 36 and 42.

39 is halfway between 36 and 42.

Answer:

the answer is

D) 39

Step-by-step explanation:

NEED HELP WITH GEOMETRY

Answers

Answer:

1. 37

2. 50

3. 50

4. 40

Step-by-step explanation:

hope I helped!!

I am not positive on angle M< 4

M< 1 = 37

M< 2 = 50

M< 3 = 50

M< 4 = 40

Please help me, I’ll give you points

Answers

Answer:

cool

Step-by-step explanation:

POINTS PLZ HELP
A baker determined the annual profit in dollars from selling pies using p n( ) = 52n − 0.05n2 , where n is the number of pies sold. What is the annual profit if the baker sells 400 pies?
F $20,780
G $12,800
H $28,800
J $20,760

Answers

Answer:

G

Step-by-step explanation:

Answer:$12,800

Step-by-step explanation:

Add 400 to every n in the equation, I’ll be using y for the “p(n)” part cus it always confuses me like that.

Y=52(400)-0.05 x 400^2

=20,800 - 0.05 x 160,000

=20,800 - 8,000

=12,800

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