2) A right isosceles triangle has legs that are each 10 mm. What is the length of its hypotenuse?
round to the nearest whole number

Answers

Answer 1

A right isosceles triangle has legs that are each 10 mm.Here, base (b) = 10 mmHeight (h) = 10 mmLet the length of the hypotenuse be x.Therefore, in the right triangle

[tex](b) ^{2} + {(h)}^{2} = {(x)}^{2} \: \: \: ( by \: \: \: pythagoras \: \: \: theorem)\\ = > {(10)}^{2} + {(10)}^{2} = {(x)}^{2} \\ = > 100 + 100 = {x}^{2} \\ = > 200 = {x}^{2} \\ = > x = \sqrt{200} mm \\ = > x = \sqrt{2 \times 2 \times 2 \times 5 \times 5}mm \\ = > x = 2 \times 5 \sqrt{2} mm \\ = > x = 10 \sqrt{2} mm[/tex]

So, the length of the hypotenuse is 10√2 mm.

Answer:

10√2 mm.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Related Questions

Which congruence criteria is met in the following scenario?
HL
ASA
SSS
AAS
SAS

Answers

SSS. the side they share is the same and it tells you the other two sides of both triangles are congruent.

The temperature dropped 4 1/2 degrees each hour for 5 hours. By how many degrees did the temperature fall during those five hours?

Answers

Answer:

22.5

Step-by-step explanation:

You take the unit rate and multiple that by how many hours are going by. 4.5x5

how do i solve this

Answers

Answer:

m <E = 134

Step-by-step explanation:

Triangle DEF looks like an isosceles triangle to the base angles are the same measure.

6x+11 = 10x+3

Subtract 11 from both sides

6x = 10x-8

Subtract 10x from both sides

-4x = -8

Divide -4 from both sides

x = 2

Substitute 2 into both equations to make sure it works

6 (2) + 11

12+11

10 (2) +3

20+3

Both angles equal 23 degrees.

Now subtract both angles from the total angle measure of 180.

180-23-23=134

a cook starts baking pies at the clock shown below. The first pie is done 25 min later. The 2nd pie is done 30 min later after the first pie which clock shows when the second pie was done

Answers

Answer:

1:45 pm

Step-by-step explanation:

its the hand thats a littke more on the left after 6

three teachers have purchased candy for a school carnival. each bag of candy weigh is 1 1/4 pounds

Answers

Answer:

3 * 1.25 = 3.75

Step-by-step explanation:

3.75 also equals 3 3/4

If the average ticket price for movie A in its first week was 1.4 times the average ticket price in its third week, what was the average ticket price for movie A in its first week?

Answers

8.35x1.4= $11.69 So the ticket price for movie A in its first week would be $11.69

Hope this helped :)

Find the slope of the line containing the points (3,2) and (6,9).

Answers

Answer:

7/3

Step-by-step explanation:

In the number 5.3779, how does the value of 7 in the hundredths place compare to the value of the 7 in the thousandth place?

Options are in the picture:

*Show work*

Answers

Answer:

(b)

Step-by-step explanation:

The hundredths place is immediately to the left of the thousandths place. In our base-10 number system, moving a digit to the left one place increases its value by a factor of 10.

The value of 7 in the hundredths place is 10 times the value of 7 in the thousandths place.

Answer:

The value of the 7 in the hundredth place is 10 times the value of the 7 in the thousandth place.

Step-by-step explanation:

How I can answer this question, NO LINKS, If you answer correctly I'll give u brainliest

Answers

Answer:A and D

Step-by-step explanation:

4*5r=20r

4*15t=60t

20*r = 20r

20*3t=60t

Victoria made some chocolate pudding. For every 2 cups of chocolate, she added 5 cups of milk. The ratio of chocolate to milk in Victoria's chocolate pudding is ____.??
A. 2
B. 2 over 5
C. 5 over 2

Answers

Answer:

B. 2 Over 5

Step-by-step explanation:

The answer would be B because 2 cups of chocolate to 5 cups of milk the ratio would be 2:5 and you can't put 5:2 because it's asking the ratio of chocolate milk to chocolate pudding not chocolate pudding to chocolate milk.

A small bag of trail mix contains 3 cups of dried fruit and 4 cups of almonds. A large bag contains $4 1/2 cups of dried fruit and 6 cups of almonds. Write and solve a system of linear equations to find the price of 1 cup of dried fruit and 1 cup of almonds. Let f represent the price of one cup of dried fruit and let a represent the price of one cup of almonds.What is the equation for the small bag and the large bag.

Answers

Answer:

Let's call:

f = price of 1 cup of dried fruit

a = price of 1 cup of almonds

In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:

Solve for a in first equation:

a = (6 - 3f) / 4

Then substitute in the second equation:

41/2 f + 6 · (6 - 3f) / 4 = 9

41/2 f + 9 - 9/2 f = 9

16 f = 0

f = 0

Now, substitute this value in the formula found for a:

a = (6 - 3·0) / 4

= 3/2 = 1.5

Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$

Step-by-step explanation:

10 divided by 3 long division

Answers

Okay so the first thing we need to do is clarify the terms so that you know what each part of the division is:

The first number, 10, is called the dividend.The second number, 3 is called the divisor.

What we'll do here is break down each step of the long division process for 10 divided by 3 and explain each of them so you understand exactly what is going on.

10 divided by 3 step-by-step guideStep 1

The first step is to set up our division problem with the divisor on the left side and the dividend on the right side, like we have it below:

3| 10

Step 2

We can work out that the divisor (3) goes into the first digit of the dividend (1), 0 time(s). Now we know that, we can put 0 at the top:

_0_

3 | 10

Step 3

If we multiply the divisor by the result in the previous step (3 x 0 = 0), we can now add that answer below the dividend:

_0_

3 | 10

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (1 - 0 = 1) and write that answer below:

___

3 | 10

- 0

Step 5

Move the second digit of the dividend (0) down like so:

__0_

3 | 10

- 0

-----------

Step 6

The divisor (3) goes into the bottom number (10), 3 time(s), so we can put 3 on top:

__03_

3 | 10

- 0

___

Step 7

If we multiply the divisor by the result in the previous step (3 x 3 = 9), we can now add that answer below the dividend:

_03_

3 | 10

- 0

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (10 - 9 = 1) and write that answer below:

__03_

3 | 10

- 0

-9

So, what is the answer to 10 divided by 3?

Your answer is the top number, and any remainder will be the bottom number. So, for 10 divided by 3, the final solution is:

3 - Remainder 1Extra calculations for you:Using a calculator, if you typed in 10 divided by 3, you'd get 3.3333.You could also express 10/3 as a mixed fraction: 3 1/3If you look at the mixed fraction 3 1/3, you'll see that the numerator is the same as the remainder (1), the denominator is our original divisor (3), and the whole number is our final answer (3).

order the numbers from least to greatest .

Answers

least to greatest

-4.5

-4

-3 1/2

-3

2.5

Answer:

-4.5, -4, -3 1/2, 2.5, 3

Step-by-step explanation:

What is the length of AB?

Answers

Answer:

Step-by-step explanation:

evaluate p-q if p=14 and q=13

Answers

Answer:

Value of [tex]p-q=1[/tex]

Step-by-step explanation:

We need to find [tex]p-q[/tex]

[tex]p-q=14-13\\\\=1[/tex]

[tex]\huge\boxed{\sf{Hello\:there!}}[/tex]

We are asked to evaluate p-q.

Now, if we aren't given the value of every variable, evaluating this expression is impossible. However, we do have the value of p (14) and the value of q (13)

We plug these numbers instead of the variables:

p-q

p=14

q=13

14-13

Hence, the value of the expression is 1.

[tex]\huge\boxed{\sf{Hope\:it\:helps.\:Please\:mark\:Brainliest.}}[/tex]

[tex]\huge\bold{Good\:luck!}}[/tex]

[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]

Dont know how to calculate it

Answers

Answer:

AB = 105

Step-by-step explanation:

Since ∠ A and ∠ B are equal then Δ ABC is isosceles with 2 congruent legs.

AC = BC , substitute values

6x - 7 = 5x + 7 ( subtract 5x from both sides )

x - 7 = 7 ( add 7 to both sides )

x = 14

Then

AB = 7x + 7 = 7(14) + 7 = 98 + 7 = 105

What is the domain of the function y = In (-2+3/2)?

Answers

Answer:

Domain is undefined

Carpeting costs $7.99 a yard. If Jan buys 12.4 yards, how much will it cost her?

(Hint: Round it to two decimal places)

Answers

Multiply cost per yard by total yards:

7.99 x 12.4 = 99.08

Answer: $99.08

3-⁵ * 10-⁵ * 125 ÷ 5-⁷ *6-⁵
who ever answer it I will give them a brainliest

Answers

Answer:

Below

Step-by-step explanation:

3^-5 * 10^-5 * 125 / 5^-7 * 6^-5

= (125 / 5^-7) / (3^5 *10^5 * 6^5)

= 0.0000516818 to 10 decimal places.

Which expression represents 11 less than a number, n?

Answers

Answer:

n-11

Step-by-step explanation:

please help again forgot everything

Answers

Answer:

Step-by-step explanation:

to find a proportion they must equal each other

8/4 in its simplest form is just 2

to make r/3 = 2 r must be 6

6/3 is 2

3. Mama has her opinions about things concerning Walter. Determine which statements are TRUE/FALSE about what Mama thinks.

Answers

Answer:

False

Step-by-step explanation:

Hope this helped

Solve the formula for the specified variable.

V=AQT for A

Answers

Answer:

[tex]A = \frac{V}{QT}[/tex]

Step-by-step explanation:

To solve the problem you want to have A on one side, everything else on the other side. You can move over the variables by divind them from each side as shown:

[tex]AQT = V[/tex]

[tex]AQT = \frac{V}{1}[/tex]

[tex]AQ = \frac{V}{T}[/tex]

[tex]A = \frac{V}{QT}[/tex]

Jenny asked 48 classmates whether they prefer granola bars over muffins. she used a calculator to compare the number of classmates who said yes to the total number she surveyed. The calculator showed the result as 0.66666667.

PART A: Write this number as a fraction.

PART B: How many students prefer granola bars over muffins.

Answers

A) The number 0.66666667 as fraction is = [tex]\frac{66666667}{100000000}[/tex]

B) 32 students prefer granola bars over muffins.

The total number of classmates = 48

The probability that a student says yes = 0.66666667

Note that 0.66666667 can also be written as [tex]\frac{0.66666667}{1}[/tex]

To convert 0.66666667 to fraction, multiply both the numerator and the denominator by 100000000

The probability that a student says yes = [tex]\frac{66666667}{100000000}[/tex]

Therefore, the number 0.66666667 as fraction is = [tex]\frac{66666667}{100000000}[/tex]

Number of students that prefer granola bars over muffins = 0.66666667 x 48

Number of students that prefer granola bars over muffins = 32

Therefore, 32 students prefer granola bars over muffins.

Learn more on decimal to fraction conversion here: https://brainly.com/question/23038

Given that two terms of an arithmetic sequence are u5 = -3.7 and u15 = -52.3, find the value of the 19th term.

Answers

Answer:

a19 = -71.74

Step-by-step explanation:

The general term of an arithmetic sequence with first term a1 and common difference d is ...

an = a1 +d(n -1)

The given 5th and 15th terms tell us ...

-3.7 = a1 +d(5 -1)

-52.3 = a1 +d(15 -1)

Subtracting the first of these equations from the second, we find ...

10d = -48.6

d = -4.86 . . . . . . divide by 10

The 19th term will be ...

a19 = a1 +d(19 -1)

Subtracting the 15th term from this, we find ...

a19 -a15 = 4d

a19 = 4d +a15 = 4(-4.86) +(-52.3)

a19 = -71.74

Sketch the graph of each line

Answers

The standard equation of a line is y = mx+ b

where:

m is the slope of the lineb is the y-intercept of the line

The y-intercept is the point where the line cuts the y-axis

For the equation y = -2x -4

For the equation, the line will cut the y-intercept at y = -4 with a negative slope of -2.

For the equation y = -5/2x

For the equation, the line will cut the y-intercept at y = 0 with a negative slope of -5/2.

Find the graphs attached.

Learn more on graphs here: https://brainly.com/question/25020119

angle A coincides with angle E

Answers

Answer:

Nah fam its the other way round.... bru h whats ur question

Step-by-step explanation:

Answer:

It coincides by both being congruent

Step-by-step explanation:

Point O is the center of this circle. What is m CAB?
A.55
B.48
C.45
D.35

Answers

Answer is B. 48

By circle theorem, the angle at the centre of the circle is twice the angle at the circumference.

Sam currently 100 followers on TikTok, and gains 8 subscribers a week. Alex currently has 220 followers, and gains 3 followers each week.
Part A: Set up a system of equations to shows each person's subscribers. (2 points)
Part B: After how many weeks will Sam and Alex have the same number of subscribers? (1 point)
Part C: How many subscribers will Sam and Alex have when their subscriber count is equal? (1 point)

Answers

Part A: The system of equations to shows each person's subscribers is:

S = 100 + 8x

A = 220 + 3x

Part B: Sam and Alex will have the same number of subscribers after 24 weeks

Part C: Sam and Alex will have 292 subscribers when their subscriber count is equal

Let the number of weeks be x

The initial number of followers that Sam has = 100

Sam gains 8 subscribers every week

Let the total number of subscribers that Sam has be S

The equation that represents Sam's total subscribers is:

S = 100 + 8x..................(1)

The initial number of followers that Alex has = 220

Alex gains 8 subscribers every week

Let the total number of Alex's subscribers be A

A = 220 + 3x....................(2)

If Sam and Alex have the same number of subscribers:

S = A

100 + 8x = 220 + 3x

8x - 3x = 220 - 100

5x = 120

x = 120/5

x = 24

Sam and Alex will have the same number of subscribers after 24 weeks

To find the number of subscribers that Sam and Alex will have when their subscriber count is equal, substitute x = 24 into equation (1)

S = 100 + 8x

S = 100 + 8(24)

S = 292

Sam and Alex will have 292 subscribers when their subscriber count is equal

Learn more here: https://brainly.com/question/25898415

Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child tickets for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. What is the price each of one senior citizen ticket ?

Senior citizen ticket: $

Answers

The answer should be $12.
Explanation:
52 - 38 = 16.
(16 is the price of a ticket for a child)
28 - 16 = 24
24 / 2 = 12

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2) A right isosceles triangle has legs that are each 10 mm. What is the length of its hypotenuse? round to the nearest whole number

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2) A right isosceles triangle has legs that are each 10 mm. What is the length of its hypotenuse?
round to the nearest whole number