Two sides of a right triangle measure 2 units and 4
units.
What is the area of the square that shares a side with the third side of the triangle?
units^2
2
squared
Answers
Hey there!
The answer is √20 or approximately 4.47
We can use the Pythagoreon Theorem, which is [tex]a^2 +b^2=c^2[/tex]. [tex]a[/tex] and [tex]b[/tex] are the names of the two sides, and [tex]c[/tex] is the name of the hypotenuse leg, or the longest side. We will plug the numbers into the formula, and solve:
[tex]2^2+4^2=c^2\\4+16=c^2\\20=c^2\\4.47...=c[/tex]
Have a terrifcly amazing day!
Related Questions
An observer (O) spots a bird flying at a 42° angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 17,000 ft., how far is the bird (B) from its nest (N)? Round to the nearest whole number. (4 points)
A right triangle B N O is shown with angle B marked 42 degrees, side B N marked x and side B O marked 17000 feet.
a
11,375 feet
b
12,633 feet
c
14,862 feet
d
15,307 feet
Answers
Answer:
12,633 feet
Step-by-step explanation:
The horizontal distance between the observer and the bird's nest is
b. 12,633 feet
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, An observer (O) spots a bird flying at a 42° angle from a line drawn horizontally to its nest.
The hypotenuse distance which is from the observer's eye to the bird's nest is 17000ft and we need the horizontal distance or the distance of the adjacent.
∴ , cos = adjecen/hypotenuse.
cos42° = adjacent/17000.
adjacent = 17000×cos42°.
adjacent = 17000×0.743.
adjacent = 12631 feet.
learn more about trig ratios here :
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Estimate the sum using rounding numbers 67.07+4.86
Answers
Answer:
I estimated the answer would be 72 (actual answer: 71.93)
Step-by-step explanation:
67.07 rounded to the nearest whole number is 67
4.86 rounded to the nearest whole number is 5
67 + 5 = 72
hope this helped!
why is 6 divided by zero, zero and zero divided by six is undefined?
Answers
Answer:
See below.
Step-by-step explanation:
The reason a number divided by zero is undefined is as follows.
Every operation, addition, multiplication, subtraction, and division, is carried out between two numbers and must have a single correct answer.
For example 1 + 5 = 6. The only correct answer to 1 + 5 is 6. There is no other correct answer to that addition. The same is true of any multiplication, subtraction, or division. Another example: 8/2 = 4. No other correct solution exists to the division of 8 by 2 other than 4.
Division is defined in terms of multiplication.
The definition of dividing a number by another number is:
a divided by b equals c if and only if b * c = a.
For example, 10/5 = 2 if and only if 5 * 2 = 10. 5 * 2 does equal 10, so it is correct that 10/5 = 2.
Now let's try dividing by zero and see the problem that arises.
Let's try to divide 8 by 0.
8/0 =
Since we are not used to dividing by zero, we don't really know what the answer should be, but we can try different answers.
Let's say 8/0 = 8
Then by the definition of multiplication, we need 0 * 8 to equal 8, but we know that 0 * 8 = 0, so the answer of 8/0 cannot be 8. Let's try a different answer.
8/0 = 0, then we need 0 * 0 to equal 8, but 0 * 0 = 0, not 8, so 0 also does not work.
We can generalize and try
8/0 = k, but then that requires 0 * k to equal 8. Since multiplication by 0 always has a result of 0, there is no number k that will multiply by 0 and give 8. This means that a number divided by 0 cannot give a result.
Now let's try one more thing.
What about 0 divided by 0.
Let 0/0 = 1. Then 0 * 1 = 0. It seems to work, but here there is a different problem. We could also say that 0/0 = 2 since 0 * 2 = 0; 0/0 = 3 since 0 * 3 = 0, etc. and now 0/0 can equal every number. The result of a division must be a unique answer, not all numbers.
When we try to divide a non-zero number by 0, no number works in the definition of division, so dividing a non-zero number by 0 is undefined. When we try to divide 0 by 0, every number works. Since there is no unique solution, 0/0 is also undefined. Therefore, division by zero is undefined.
Now the last part of your question.
What about 0 divided by 6?
0/6 = 0 if and only if 6 * 0 = 0. Well, 0 * 6 does equal zero. There is no other number that you can use as the quotient of 0/6 and have the corresponding multiplication equal zero, so 0/6 is indeed 0, and that operation is defined.
0 divided by any number other than zero is a defined division and equals 0.
Conclusion:
(any number)/0 is undefined
0/(any number other than zero) is defined and equals zero
If a cable repairman is supposed to show up to for a repair between 1:00pm and 6:00pm and the home owner can’t be homeuntil 3:00pm, what is the probability that the home owner will be home when the cable repair man shows up (assuming the repairman is equally likely to come at any time during the specified range)?
A) 60%
B) 65%
C) 70%
D) 75%
Answers
Answer:
60%
Step-by-step explanation:
3/5 likely, because there are five hours when the repairman could show up.
Three of them will have the homeowner, and 2 would not. 3/5=0.6=60%
Answer:
for da other guy to get brainliest
Step-by-step explanation:
3(x - 5) = 15
Unknown variable
Answers
Answer: x = 20/3 = 6.667
Step-by-step explanation:
Solve : 3x-20 = 0
Add 20 to both sides of the equation :
3x = 20
Divide both sides of the equation by 3:
x = 20/3 = 6.667
the rate of currency exchange published in the newspaper on a certain day showed 12 pound could be exchange for 96 dollars. how many dollars could be obtained for 102 pounds.
Answers
Answer:
$816
Step-by-step explanation:
ratio would be:
12:96
or:
1:8
so one pound=8 dollars
102x8=816
At Kira's school, 5/9 of the 360 students bring their lunch. The other students buy lunch in the cafeteria.
How many more students bring lunch from home than buy lunch?
A. 280 more students
B. 150 more students
C. 80 more students
D. 160 more students
Answers
Answer:
Options are incorrect
Step-by-step explanation:
Answer:
ansewr mine
The chart below shows how many times the students purchased lunch in the cafeteria. How many more days more did Amber purchase her lunch than Dana?
A. 12
B. 14
C. 15
D. 19
Step-by-step explanation:
72 is the result of x-20%
Help please--the way that I thought of solving this is not what the book says the answer is
Answers
Answer:
The original cost was $90.
Step-by-step explanation:
"Judy bought a coat at the office of $72, which is 20% off the original price. what was the original cost of the coat?"
Your equation contains an error that will lead to an incorrect answer.
This is the correct way to write the equation.
We don't know the original price, so we let x = the original price.
The discount was 20% off the original price, so the discount is 20% of x.
20% of x is the same as 20% * x = 0.2x. The discount is 0.2x. We now subtract the discount from the original price.
x - 0.2x
She paid the discounted price of x - 0.2x. We are told that amount is $72, so we let our expression of the discounted price equal the discounted price we are told she paid.
x - 0.2x = 72
Now we solve for x, the original price.
x - 0.2x = 72
Combine like terms on the left side.
0.8x = 72
Divide both sides by 0.8
0.8x/0.8 = 72/0.8
x = 90
Answer: The original cost was $90.
P.S.
You must be careful when writing the equation. What you wrote was
x - 20%
on the left side. Notice that 20% is simply equal to 0.2; it is not 20% of the original price. By writing
x - 20% = 72
you are in fact writing
x - 0.2 = 72
meaning that the discount was $0.20
A discount of 20% on $90 is really $18, not $0.20.
There is a big difference there.
If you have any questions, just ask in the comments.
Which is the equation of a line that has a slope of -7 and a y-intercept of 2?
Answers
Answer:
y = -7x + 2
Step-by-step explanation:
in the general equation y = ax + b, a is the slope and b is the y coordinate of the y intercept.
Answer:
y=-7x+2
Step-by-step explanation:
The equation is represented by y=mx+b where m is slope and b is the y-intercept.
EFG, e = 9.8 cm, f = 3 cm and ∠G=167°. Find the length of g, to the nearest 10th of a centimeter.
Answers
Answer:
Step-by-step explanation:
Answer:12.7
Step-by-step explanation:
Divide 110 between two friends so that one gets 16 more than the other. solve the equation
Answers
Answer:
47 and 63
Step-by-step explanation:
Let x be the number one friend gets.
This means the second friend will get x + 16
x + x + 16 = 110
2x + 16 = 110
2x = 94
x = 47
One friend gets 47, and the other gets 63
Using the table below, determine how much you will receive in dividends for the year from Cisco Systems given that you currently hold 100 shares.
Answers
The amount you will receive in dividends for the year from Cisco Systems given that you currently hold 100 shares is:$15.
DividendUsing this formula
Amount=Dividend (Div)×Number of shares
Where:
Dividend=0.15
Number of shares=100
Let plug in the formula
Amount=0.15×100
Amount=$15
Therefore the amount you will receive in dividends for the year from Cisco Systems given that you currently hold 100 shares is: $15.
Learn more about dividend here:https://brainly.com/question/2960815
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HELP QUICK GIVING 25 POINTS, Also use distrib property!!
Evaluate f(x) ∙ g(x) by modeling or by using the distributive property.
f(x) = (−3x^2 + 2) and g(x) = (−2x^3 − 5x + 4)
Answers
Answer:
6x^5 + 11x^3 - 12x^2 - 10x + 8
Step-by-step explanation:
(-3x^2 + 2) x (-2x^3 - 5x + 4)
Ok, so we need to do an advanced version of FOIL. We need to multiply -3x^2 by the other three numbers, then the same with 2. Then we add up like terms.
-3x^2 x -2x^3 = 6x^5
-3x^2 x -5x = 15x^3
-3x^2 x 4 = -12x^2
Now to do 2 x -----.
2 x -2x^3 = -4x^3
2 x -5x = -10x
2 x 4 = 8
Last, but not least, we combine like terms.
6x^5 + 11x^3 - 12x^2 - 10x + 8
Help anyone? Need it now.
Giving brainliest
Correct answer
Answers
Answer:
I think it is true
Step-by-step explanation:
If it is a loan
t must represent the loan meaning
t = 30
(i know it makes no sense it's how i thought hope this helped)
Answer:
True
Step-by-step explanation:
I think true because in an equation, t would represent the loan like it is in the picture.
hope this helps!!!!!!Only one of the comparisons below is correct. Which is correct? What benchmark was used in your answer?
ANSWERS ARE:
2/3<1/2; I used 1/2 as a benchmark.
1/2=3/5; I used 1/4 as a benchmark.
2/3<9/10; I used 3/4 as a benchmark.
3/4<2/3; I used 1/2 as a benchmark.
Answers
Answer:
2/3<9/10; I used 3/4 as a benchmark.
Step-by-step explanation:
2/3<1/2; I used 1/2 as a benchmark.
2/3 = 0.(20/3) = 0.667
1/2 = 0.(10/2) = 0.5
So this is wrong, as 0.667 > 0.5.
1/2=3/5; I used 1/4 as a benchmark.
1/2 = 0.(10/2) = 0.5
3/5 = 0.(30/5) = 0.6
0.5 != 0.6, so this is wrong.
2/3<9/10; I used 3/4 as a benchmark.
2/3 = 0.(20/3) = 0.667
9/10 = 0.(90/10) = 0.9
So this is correct, as 0.667 < 0.9
3/4<2/3; I used 1/2 as a benchmark.
3/4 = 0.(30/4) = 0.75
2/3 = 0.(20/3) = 0.667
0.75 > 0.667, so this is wrong.
Logan is a land surveyor. He wants to determine d, the distance across a lake that cannot be directly measured. He draws this diagram to help him.
A right triangle with side length 7 kilometers, d, and hypotenuse of 9 kilometers.
What is the approximate distance across the lake, to the nearest tenth of a kilometer?
5.7 km
6.3 km
11.4 km
16.0 km
Answers
Answer:
The first option (5.7km)
Step-by-step explanation:
Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so...
(Based on the Pathagoras Theorem)
[tex]c^{2} = a^{2} + b^{2}[/tex]
[tex]9^{2} = 7^{2} + d^{2}[/tex]
[tex]d^{2} = 9^{2} - 7^{2} \\d^{2} = 81 - 49\\d^{2} = 32\\d = \sqrt{32}\\[/tex]
d ≈ 5.7km
There for aproximate distance across the lake is equal to 5.7km
Answer:
A
Step-by-step explanation:
A- g(x)=|x+5|+5
B-g(x)=|x-5|+5
C-g(x)=|x|+5
D-g(x)=|x-5|
Answers
Answer:
if anything, I would say C. I can't see the image too clearly, but I can see what you typed out
Step-by-step explanation:
Y varies inversely as the square of x. If y=10 and x=4, find x if y=8
Answers
Answer:
gmxgmxkydyoduryljfhlduñfixjcigtltgracjas por los puntos gigkckckxkjajguajajajjaa
Which of the following graphs is the solution set of 2x+7>3?
PLS HELP WILL MARK BRAINLIEST
Answers
Answer:
B or the second line
Step-by-step explanation:
1/2x +7 > 3
-7. -7
1/2x > -4
you time 2 on both sides
x > -8
The capacity of a container is 2,060 mil liters convert this to liters
Answers
Answer:
2,060 ml ÷ 1,000 = 2.06 liters
Step-by-step explanation:
what the word form of 500.2
Answers
Answer:
How to Write Out USD 500.2 Dollars in Words: five hundred dollars and twenty cents.
I count on the best
Joseph invested $6,700 in an account paying an interest rate of 5.2% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $13,950?
Answers
Answer:
Step-by-step explanation:
A=P(1+r/c)^(ct), where a is final value, P is the initial value or principle, r is the interest rate, and c is the number of compounding periods in a year.
ln(A/P)/ln(1+r/c)=ct so
t =(ln(A/P)/(cln(1+r/c)), given A=13950, P=6700, r=0.052, c=4
t=(ln(13950/6700))/(4ln(1.013))
t=14 years
Answer:
14
Step-by-step explanation:
A positive - negative = what?
Answers
A positive - negative = either negative or positive
Step-by-step explanation:
HOPE IT HELPS YOU
Answer:
0
Step-by-step explanation:
+1-1=0 is that the theme of qustion .
SOEMOEN HELP ME WITH THE MATH PROBLME If x is 6, what is:
X 2
Answers
Answer:
36
Step-by-step explanation:
The little number, called an exponent, tells you how many times to multiply the big number times itself. In this case, the exponent is 2. So the problem would be 6 x 6, which equals 36. Hope this helps!
find the 8th term of the geometric sequence 3,9,27
Answers
Answer:
6,561
Step-by-step explanation:
multiply 3 by the last number, like 3*3 is 9 then 9*3 is 27*3 is 81 then 81*3 243 and so until it reaches 8 time
In need of help thanks
Answers
Step-by-step explanation:
x = 20
y = 25
z = 24
plz mark my answer as brainlist plzzzz vote me also.
hope this will be helpful to you .
Answer:
x = 20
y = 25
z = 24
Step-by-step explanation:
2y + 10 = 60
2y = 50
y = 25
2y + 10 = 3x
but y = 25
=> 50 + 10 = 3x
3x = 60
x = 20
5z + 3x = 180
but x = 20
5z + 60 = 180
5z = 120
z = 24
please give me brainlist if it is helpful for you
Solve for x 4(2x+3)
I’ll mark brainlyest
Answers
Answer:
=2x5+3x4 plus brainliest please
Step-by-step explanation:
=(x4)(2x+3)
=(x4)(2x)+(x4)(3)
=2x5+3x4
Answer:
You cant solve it because its an expression but below is the expression simplified if you put the equal thing I will edit it to make it correct
Step-by-step explanation:
4 x 2x = 8x
4 x 3 = 12
8x + 12
if 4 shirts and 3 ties cost 241. and 3 shirts and 4 ties cost 200. what is the cost of 1 shirt and 1 tie?
Answers
Answer:
cost of 1 tie = 11
cost of 1 shirt = 52
Step-by-step explanation:
Terrell brought $5.00 to spend at the rink's concession stand. Hot dogs cost $0.65, French fries cost $0.80, nachos cost $1.25, and drinks cost $0.95. If Terrell buys French fries and a drink, what is the maximum number of hot dogs he can purchase?
Answers
Answer:
5 hotdogs
Step-by-step explanation:
Deduct the price of French fries + drink from the total amount of money he has.
5.00 - 0.80 - 0.95 = 3.25
Divide the amount of money left with the amount of money each hotdog cost.
3.25 ÷ 0.65 = 5
Evaluate (–6)^2 – 7^2.
A) 85
B) 169
C) –85
D) –13
