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
You are virtually racing against your friend who lives on Spain where they use the metric system. You measured that you ran 430 feet per minute and your friend measured that they ran 6.5 kilometers per hour. Which of you is faster?
Answers
Perform the operation. (-4x^2-2x-6)-(-7x^2-2x-2)
Answers
Answer:
3x²-4
Step-by-step explanation:
1 distribute
(-4x²-2x-6)+7x²+2x+2
2 eliminate redudant parentheses
-4x² -2x - 6+7x² +2x+2
3 Add the numbers
-4x²-2x-4+7x²+2x
4 Combine like terms
3x²-2x-4+2x
5 Combine like terms
3x²-4
Answer:
[tex]3x^{2} -4[/tex]
Step-by-step explanation:
Before solving this you have to know that,
( - ) × ( - ) = ( + )
( + ) × ( + ) = ( + )
( - ) × ( + ) = ( - )
Let us solve now.
[tex](-4x^2-2x-6)-(-7x^2-2x-2)[/tex]
[tex](-4x^2-2x-6)+7x^{2} +2x+2[/tex]
[tex]-4x^2-2x-6+7x^{2} +2x+2[/tex]
Now combine like terms
[tex]-4x^{2}+7x^{2} -2x+2x-6+2[/tex]
[tex]3x^{2} -4[/tex]
Hope this helps you .
Let me know if you have any other questions :-)
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve this using unitary method ~
[tex] \sf3 \: seconds = 63 \: meters[/tex][tex] \sf1\: second= 63 \div 3 \: meters[/tex][tex] \sf1\: second= 21 \: meters[/tex][tex] \sf5\: seconds= 21 \times 5 \: meters[/tex][tex] \sf5\: seconds= 105 \: meters[/tex]Therefore , the ostrich will run 105 meters in 5 seconds.
Lester has 2 toy cars. Ivan has t times as many toy cars as Lester. Write an expression that shows how many toy cars Ivan has
Answers
Answer:
I=2t
Step-by-step explanation:
ivan has 2 times t
Jeremy got a haircut and paid 15% as a tip. What percent of the cost did Jeremy pay the barber, including the tip?
Answers
The percentage of the cost that Jeremy will pay including the tip paid is 115% of the cost.
Assuming the cost was $100 and Jeremy gave a 15% tip. The total he would pay is:
= 100 + tip
= 100 + (100 x 15%)
= $115
In percentage this is:
= 115/100 x 100%
= 115%
In conclusion, Jeremy would pay 115% of the tip.
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Help me with this pleassssseeeedeeeeeeee..
Answers
Meaning the two base angles must also be equal
Using this information, we know that the third angle must be 180 - (22 + 22), since the angles in a triangle add up to 180
Simplify (y²z⁴)³ and explain answer
Answers
Answer:
y^6 z^12
Step-by-step explanation:
When the bases are the same that means that the powers on the inside can be multiplied by whatever is outside.
Hope this helps :)
solve for x and explain the steps:
3x-6=4(2-3x)-8x
Answers
Answer: x = 14/23
Step-by-step explanation:
3x-6=4(2-3x)-8x
3x-6=8-12x-8x --> Expand 4(2-3x)
3x-6=8-20x --> Collect like terms
3x-6+6=8-20x+6 --> Add 6 to both sides, to remove it from the right side
3x=-20x+14
3x+20x=-20x+14+20x --> Add 20x to both sides, to remove it from the left side
23x=14
[tex]\frac{23x}{23}=\frac{14}{23}[/tex] --> Divide both sides by 23
x = 14/23
what is 2/3 x 9/8 as a fraction in simplest form
Answers
Answer: [tex]\frac{3}{4}[/tex]
Have attached the picture for explanation...
The product of the fraction in the simplest form is 3/4
What is a fraction?A fraction is a figure that is not a whole number. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.
What is the product of the fraction?2/3 x 9/8 = 18/24 = 3/4
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A boat can travel 120 kilometers on 60 liters of gas. How far can it travel on 197 liters
Answers
Answer:
394 km
Step-by-step explanation:
197 is 197/60 times as much as 60
so the distance is also that much more: 120 km * 197/60 = 394
Help plz im on a timer at school
Answers
Answer:
it is reduction so the answer is B.
Step-by-step explanation:
Classify the number -5
Integer
1. Whole Number
2. Irrational Number
3. Natural Number
Answers
Answer:
1. Whole number
Step-by-step explanation:
It's a negative number, but it is not a decimal, therefore it is a whole number.
Can someone help me with these 2 problems I’ve been stuck on them for a very long time :’) tysm!!
Answers
Answer:
Christmas How many pouds this proportion to solve
1) Find the probability of rolling a
number greater than 3 on a standard
number cube.
Answers
Answer:
50%
Step-by-step explanation:
benny uses 2/5 grams (G) of toothpaste each time he brushes his teeth. If benny buys 30-g tube, how many times will be able to brush his teeth?
Answers
Answer:
75
Step-by-step explanation:
First divide 2/5 to get 0.4. Then divide 30 by 0.4 to get the answer. A simple way to think about it is how many 0.4 grams are in 30 gram tube.
Pls help! Will mark Branliest!! 50 points for whoever answers!!!!!!
Answers
Answer: See below
Step-by-step explanation:
Isolate x for x-2y+2z=9
3x=9+2y
[tex]x=\frac{9+2y}{3}[/tex]....(1)
Substitute (1) into the 2nd equation
[tex]\begin{bmatrix}-\frac{9+2y}{3}+3y=-4\\ 2\cdot \frac{9+2y}{3}-5y+3z=16\end{bmatrix}[/tex]
[tex]\frac{3\left(-9+7y\right)}{3}=3\left(-4\right)[/tex]
7y=-3
y=-3/7
Substitute y=-3/7
[tex]\begin{bmatrix}3z+\frac{18-11\left(-\frac{3}{7}\right)}{3}=16\end{bmatrix}[/tex]
[tex]\begin{bmatrix}3z+\frac{53}{7}=16\end{bmatrix}[/tex]
Isolate z by substituting it
[tex]3z+\frac{53}{7}=16[/tex]
[tex]\frac{3z}{3}=\frac{\frac{59}{7}}{3}[/tex]
[tex]z=\frac{59}{21}[/tex]
For x =9+2y/3 substitute z=59/21 and y=-3/7
[tex]x=\frac{9+2\left(-\frac{3}{7}\right)}{3}[/tex]
[tex]x=\frac{19}{7}[/tex]
[tex]x=\frac{19}{7},\:z=\frac{59}{21},\:y=-\frac{3}{7}[/tex]
Answer:
(1, - 1, 3 )
Step-by-step explanation:
x - 2y + 2z = 9 → (1)
- x + 3y = - 4 → (2)
2x - 5y + 3z = 16 → (3)
Add (1) and (2) term by term to eliminate x
y + 2z = 5 → (4)
Multiply (2) by 2
- 2x + 6y = - 8 → (5)
Add (3) and (5) term by term to eliminate x
y + 3z = 8 → (6)
Subtract (6) from (4) term by term to eliminate y
- z = - 3 ( multiply both sides by - 1 )
z = 3
Substitute z = 3 into (4)
y + 2(3) = 5
y + 6 = 5 ( subtract 6 from both sides )
y = - 1
Substitute y = - 1, z = 3 into (1) and solve for x
x - 2(- 1) + 2(3) = 9
x + 2 + 6 = 9
x + 8 = 9 ( subtract 8 from both sides )
x = 1
solution is (1, - 1, 3 )
Math is multi-cultural, analytical, timeless and hands-on. Provide a piece of mathematical concept, hypothesis, law, paradox, rule or theorem to prove this statement.
Answers
It should be noted that mathematics is multicultural. This implies that mathematics applies to different cultures.
Mathematics is multicultural and it's neutral from the issues of races, gender, class, etc. Also, it should be noted that mathematics is analytical.Furthermore, mathematics is timeless and hands-on. This implies that students need to touch and feel what they're learning through a concrete experience.Learn more about mathematics on:
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Find the 82nd term of the arithmetic sequence —8, 9, 26, ...
Answers
82+17 = 99
I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY. A wire is needed to support a vertical pole 8 feet tall. The cable will be anchored to a stake 6 feet from the base of the pole. How much cable is needed?
Answers
Answer: The answer is 10 feet of cable.
Find the slope of the line that passes through the points given in the first column and match them with the appropriate result. (10,7) and (1,2)\left(10,7\right)\ and\ \left(1,2\right)(10,7) and (1,2)
Answers
Answer:
Step-by-step explanation:
1) The slope of line with the coordinate points (10, 7) and (1, 2) is [tex]\frac{5}{9}[/tex].
2) The slope of line with the coordinate points (9, 9) and (1, 16) is [tex]-\frac{7}{8}[/tex].
3) The slope of line with the coordinate points (9, 3) and (2, 1) is [tex]\frac{2}{7}[/tex].
4) The slope of line with the coordinate points (8, 8) and (1, 2) is [tex]\frac{6}{7}[/tex].
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 = [tex]\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]
From the given table, we have
1) The coordinate points are (10, 7) and (1, 2)
Here, slope [tex]=\frac{(2-7)}{(1-10)}[/tex]
[tex]=\frac{5}{9}[/tex]
2) The coordinate points are (9, 9) and (1, 16)
Here, slope [tex]=\frac{(16-9)}{(1-9)}[/tex]
[tex]=-\frac{7}{8}[/tex]
3) The coordinate points are (9, 3) and (2, 1)
Here, slope [tex]=\frac{(1-3)}{(2-9)}[/tex]
[tex]=\frac{2}{7}[/tex]
4) The coordinate points are (8, 8) and (1, 2)
Here, slope [tex]=\frac{(2-8)}{(1-8)}[/tex]
[tex]=\frac{6}{7}[/tex]
Therefore,
1) The slope of line with the coordinate points (10, 7) and (1, 2) is [tex]\frac{5}{9}[/tex].
2) The slope of line with the coordinate points (9, 9) and (1, 16) is [tex]-\frac{7}{8}[/tex].
3) The slope of line with the coordinate points (9, 3) and (2, 1) is [tex]\frac{2}{7}[/tex].
4) The slope of line with the coordinate points (8, 8) and (1, 2) is [tex]\frac{6}{7}[/tex].
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#SPJ3
What is the slope of this graph?
0.3
-3
los
1
3
3
1
2 3 4 5
Answers
Answer:
A
Step-by-step explanation:
Use the formula rise/run. The rise, in this case, was 3 and the run was 1. There for it would be 3/1 which is simplified to 3.
PLS HELP MEE :((
Write an equation representing the area Felicia covered, y, in terms of the number of tiles she used, x.
y =
Answers
Answer:
Check the picture below
Step-by-step explanation:
WHAT DOES AN ANIMAL BREEDER DO?????????
I LITERALLY NEED HELP ON THIS ONE!!
Some school commercial thingy.
Answers
Answer:
Breeders cross animals of the same species with desirable traits to create desirable offspring.
Step-by-step explanation:
= 3 and 1/2 × 3 and 1/2
Answers
Step-by-step explanation:
please mark me as brainlest
round 0.006772 to 1 significant figure
Answers
Answer:
0.007
Step-by-step explanation:
0's before other numbers are non-significant. Then you just round your number.
Hope that helps
5(x-2)-3= 5x-13
help me plz
Answers
ANSWER PLZZ NO LINKS PORFA
How many miles longer is Trail A than Trail B?
Answers
Autumn wants to invest $1000. The table below shows the value of her investment under two different options for three different years:
Number of years 1 2 3
Option 1 (amount in dollars) 1100 1200 1300
Option 2 (amount in dollars) 1100 1210 1331
Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2? Explain your reasoning. (4 points)
Part B: Autumn wants to invest in an option that would help to increase her investment value by the greatest amount in 7 years. Will there be any significant difference in the value of Autumn's investment after 7 years if she uses option 2 over option 1? Explain your answer, and show the investment value after 7 years for each option if the equation for option 1 is f(x)=100x + 1000 and the equation for option 2 is g(d) = 1000(1.1)d
Answers
Answer:
See belowStep-by-step explanation:
Part AAccording the table, the yearly amount increases by 100 dollars in option 1 and 1.1 times in option 2.
It means the function is linear in option 1 and exponential in option 2.
Part BCalculate the amount of total value in each case substituting x or d by 7 and compare the amounts:
f(7) = 100*7 + 1000 = $1700g(7) = 1000*(1.1)^7 = $1948.72 (rounded)As we see the option 2 is better choice and the difference is:
$1948.72 - $1700 = $248.72helppppppppppppppppppppppppppppppppppppppp
Answers
What is -7w-4-5w+13 simplified?
Answers
It’s right I am an algebra 1 teacher