find the length of side x in simplest radical form with a rational denominator
Answers
Answer:
x = √(10)/2
Step-by-step explanation:
Here, we want to get the measure of the side marked x
what we have is an isosceles right triangle since the two acute angles of the right triangle are 45 degrees each
Hence, the other last side will measure x too
Mathematically, according to Pythagoras’; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus;
x^2 + x^2 = (√5)^2
2x^2 = 5
x^2 = 5/2
x = √(5/2)
x = √5/√2
Rationalizing the denominator;
x = (√2 * √5)/(√2 * √2)
x = √10/2
Related Questions
Simplify the expression below as much as possible. (7-i) + (5+3i) - (-3 +2i)
Answers
The simplified expression is 15 + 2i.
To simplify the expression (7 - i) + (5 + 3i) - (-3 + 2i), we can combine like terms. First, let's remove the parentheses: 7 - i + 5 + 3i - (-3 + 2i)Next, distribute the negative sign to the terms inside the parentheses: 7 - i + 5 + 3i + 3 - 2iNow, let's combine the real parts and the imaginary parts separately: (7 + 5 + 3) + (-i + 3i - 2i)Simplifying further: 15 + 2iTherefore, the simplified expression is 15 + 2i.In conclusion, the simplified expression (7 - i) + (5 + 3i) - (-3 + 2i) simplifies to 15 + 2i.
For more questions on simplified expression:
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A piece of machinery depreciates $5000 the first year,
$4700 the second year, and $4400 the third year. If the
rate of depreciation is constant, what is the amount of
depreciation of the piece of machinery in the sixth year?
A $3500
B $59,500
C $44,500
D $3200
Answers
Answer:
A- $3500
Step-by-step explanation:
The depreciation rate is $300
$5000, $4700, $4400
$300 x 3 = 900
$4400 - 900 =
$3500.
The circle below has center P, and its radius is 6 yd. Given that m 2 QPR=170°, find the length of the minor arc QR. Give an exact answer in terms of I, and be sure to include the correct unit in your answer. 2 Length of minor arc QR : 177 yd ? DO JT yd yd? yd X x 6 ? R
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Answer:
Step-by-step explanation:
H
If the sum of three times of y is equal to 9, then what is the value of y?
Answers
Answer: I think the answer is 3x
Step-by-step explanation:
What is the length of the missing side of the triangle below? (round to the nearest tenth)
Answers
Answer:
10.3
Step-by-step explanation:
Use the pythagorean theorem.
3.9^2 + x^2 = 11^2
x^2 = 105.79
x = 10.3
Which of the following equations corresponds to the graph below?
Answers
Your equation is y=-3/8x+3 because if you do rise over run you get a slope of -3/8 and the y intercept is 3.
Hope this helped!
Help me on this question and first person to get the answer right gets brainliest
Answers
Answer:
6 4/7
Step-by-step explanation:
a little help would be nice
Answers
Answer:
9) -4x+y+6z
10) 8x^2-x-2
Please answer my math question
Answers
x=2 or x=-8 are the answers to the questio.
PLEASE HELP ASAP! Thank you!
Answers
Answer:
a^3b√2b/14
Step-by-step explanation:
I hope this helps
Please help me with the question please ASAP ASAP please ASAP
Answers
Answer:
V = 672; SA = 544; LA = 448
Step-by-step explanation:
Can someone help me plzzz ASAP.
Answers
Ansgreek myth
Step-by-step explanation:
coool beans
Determine whether the following point is a solution to the system. Justify your answer. (-10,-1) y= 1x + 4 y = 4x + 30
Answers
Answer: No, if you plug in the x and y values into the given equations, they do not equal each other. (-10, -1) is not the right solution for the system of equations.
Answer:
No
Step-by-step explanation:
Substitute -10 for x and -1 for y in both equations:
1(-10) + 4 = -6
4(-10) + 30 = -10
No, (-10, -1) is not a solution to this system; if it were, the two equations above would have the same result.
We can find the actual solution: Set y = x + 4 and y = 4x + 30 equal to each other: x + 4 = 4x + 30, or -26 = 3x; x = -26/3 (which differs from the x-coordinate in the given (-10, -1).
NO LINKS I WILL REPORT!!! But help plssss quick plssss Which of these triangles are definitely not congruent to any of the others?
Check all that apply.
Answers
Answer:
C F D
Step-by-step explanation:
Help on this question please algebra
Answers
Answer:
5/3
Step-by-step explanation:
2(4x - 3) + x = 3(2x - 1) + 2
8x - 6 + x = 6x - 3 + 2
9x - 6 = 6x - 1
3x = 5
x = 5/3
John is on the swim team. Each day he swims 850 m. How far does he swim in 5 days?
Write your answer in kilometers.
help.
Answers
Answer:
4.25 km
Step-by-step explanation:
850 x 5 = 4250m
1m = 0.001 km
4250(0.001) = 4.25 km
Answer:
4.25 km
Step-by-step explanation:
850 m × 5 days = 4,250 m
there are 1000 m in a km.
4250 m ÷ 1000 = 4.25 km
a fair spinner has eight equal sections write down the probility that it lands on green
Answers
Answer:
Step-by-step explanation:
You've not told us how many green options there are out of the 8, but if it's only 1 the the probably is 1/8
ive seen a similar question but 1/3
Val is going to plant c vegetable seeds in one garden and 2c+9 vegetable seeds in another. How many seeds is Val going to plant?
Answers
Answer:
Val is going to plant 3c + 9 seeds.
Step-by-step explanation:
Add: 2c + 9 + c = 3c + 9. Val is going to plant 3c + 9 seeds.
Convert the equation below to slope-intercept form
6x+ 8y = -32
Answers
Answer:
y = -3/4x - 4
Step-by-step explanation:
Convert the equation to slope intercept form by isolating y
6x + 8y = -32
Subtract 6x from both sides
8y = -6x - 32
Divide each side by 8
y = -6/8x - 4
Simplify -6/8 to -3/4
y = -3/4x - 4
So, the equation in slope intercept form is y = -3/4x - 4
A bank account earns interest at a rate of 3.5% per year (in other words it increases in value by that percent) and starts with a balance of $350. Which of the following equations would give the account’s worth, W, as a function of the number of years, y, it has been gaining interest?
Answers
Answer:
Annually cumulating interest can be determined by the following formula:
W=P(1+r)^y
r represents the interest rate as a decimal, and P represents the starting amount of money.
Step-by-step explanation:
please help
1. find 15% of 120
2. what percent of 72 is 68.4
3. 12.5 is 8% of what number?
4. 48 is 40% of what number
5. what number is 62.5% of 195
Answers
1% = 120 ÷ 100 = 1.2
15% = 1.2 × 15 = 18
So, 15% of 120 is 18
For question 2:
68.4 ÷ 72 = 0.95
0.95 × 100 = 95%
So, the percentage is 95%
For question 3,
1% = 12.5 ÷ 8 = 1.5625
100% = 1.5625 × 100 = 156.25
So, 8% of 12.5 is 156.25.
For question 4,
1% = 48 ÷ 40 = 1.2
100% = 1.2 × 100 = 120
So, 40% of 48 is 120.
For question 5,
1% = 195 ÷ 100 = 1.95
62.5% = 1.95 × 62.5 = 121.875
So, 62.5% of 195 is 121.875
Answer:
1. 18 3. 52 5. 95%
Step-by-step explanation:
1. 120 x 0.15= 18.00 (15% of 120 is 18)
3. 84 x 0.03= 2.52
5. 72• x / 72 = 68.4/ 72
x=0.95 ⇒ 95%
Which of the following values are in the range of the function graphed below? Check all that apply.
Answers
Given:
The graph of a function.
To find:
The range of the function.
Solution:
Domain is the set of input values for which the function is defined.
Range is the set of output values or y-values.
From the given graph it is clear that the function is defined between -2 and 1.
The graph of the function is a horizontal line and it gives the value 1 for each input between -2 and 1.
It means the range of the graphed function is 1.
Therefore, the correct option is C.
Answer:1
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth
(if necessary).
(-7, -6) and (-3,2)
Submit Answer
Answer:
Answers
Answer:
8.9
Step-by-step explanation:
To solve this problem you just use the distance equation which is √((x1-x2)^2+(y1-y2)^2). It does not matter which point you use where but if you use -7 as your x1, you have to use -6 as your x1.
The process should look like this
√(-7-(-3))^2+(-6-2)^2)
√((-4)^2+(-8)^2)
√(16+64)
√(80)
=8.944 or 8.9 rounded to the nearest tenth
An athlete ran 10 times around the circular track shown below. Approximately how many meters did the athlete run?
Answers
Answer:
Step-by-step explanation:
Since the picture isn't given. I have no idea what the radius or diameter is and as such, have no definite answer for you.
However, from the question, if he's to run round the circular track once, then he must have run a total of
2πr meters, with r being the radius.
Now, the question says that he ran round the track 10 times, this means that whatever value we get there, for 1 trial, we multiply it by 10, to get the value for 10 trials. Essentially,
10 * 2πr
The value gotten is the needed answer. All you have to do is substitute r for the value you have in your diagram. We already know that π is 3.142
I need help with solving this question with the elimination method since my teacher didn’t explain lol
Answers
Answer:
use photomath .....it'll give u both methods....hope this helped:)))))
which is the median of this set?
18. 22. 11. 21. 78 11
Answers
Answer:
The median is 11.
Step-by-step explanation:
Hope this helps.
can someone please help me with this questio? im begging
Answers
Hope it helps you! .....
i NEED HELP ASAP Plot the image of point C under a dilation about point P with a scale factor of 2
Answers
the next point will be 5 units right from point C
sorry for being so late!! :))
Answer: plot the point 5 units to the right from C
Step-by-step explanation:
1. Find point c
2. Then go 5 units to the right
3. Plot your point
what is the probability that the power will go of durning a storm, if the probability of it staying on is 78%?
please help!
Answers
Answer:
22%
Step-by-step explanation:
100-78=22
just do the simple math
Answer:
22%
Step-by-step explanation:
100-78 = 22
this is because the only other possibility is that the power turns off so you have 100-78 which gives u 22.
from least to greatest
Answers
Answer:
Step-by-step explanation:
.3, 1/3, 2/5, 1/2, .6
Answer:
0.3, 1/3, 2/5, 1/2, 0.6
Step-by-step explanation:
Divide 1 by 3 and you get 0.333. Divide 1 by 2 and you get 0.5. Then divide 2 by 5 and you get 0.4. From there it's easier to compare. You could also make the decimals into fractions, but comparing those would take more steps by trying to find similar denominators.
