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
[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
What is the domain of the function y = In (-2+3/2)?
Answers
Answer:
Domain is undefined
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
23
10 (2) +3
20+3
23
Both angles equal 23 degrees.
Now subtract both angles from the total angle measure of 180.
180-23-23=134
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
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]
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
Hope this helped :)
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
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:
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
By circle theorem, the angle at the centre of the circle is twice the angle at the circumference.
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
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 lineThe 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
please help again forgot everything
Answers
Answer:
a
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
What is the length of AB?
Answers
Answer:
6
Step-by-step explanation:
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
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
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:
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.
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
Explanation:
52 - 38 = 16.
(16 is the price of a ticket for a child)
28 - 16 = 24
24 / 2 = 12
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 1The 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 2We 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 3If 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
0
Step 4Next, 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
__
1
Step 5Move the second digit of the dividend (0) down like so:
__0_
3 | 10
- 0
-----------
10
Step 6The divisor (3) goes into the bottom number (10), 3 time(s), so we can put 3 on top:
__03_
3 | 10
- 0
___
10
Step 7If 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
__
10
9
Step 8Next, 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
__
10
-9
_
1
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).Find the slope of the line containing the points (3,2) and (6,9).
Answers
Answer:
7/3
Step-by-step explanation:
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.
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
Which congruence criteria is met in the following scenario?
HL
ASA
SSS
AAS
SAS
Answers
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
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
1
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]
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:
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
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
Which expression represents 11 less than a number, n?
Answers
Answer:
n-11
Step-by-step explanation: