A right triangle is shown below.
Х
4
8.5
What is the value of x? Enter your value as a decimal rounded to the nearest tenth,
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Step-by-step explanation:
Use the Pythagorean Theorem ( [tex]a^{2}+b^{2} =c^{2}[/tex] )
The longest side is c = the hypotenuse, and a and b = the other sides of the triangle.
a = 4 First: [tex]4^{2}+x^{2}=8.5^{2}[/tex]
b = x Second: [tex]16+x^{2}=72.25[/tex]
c = 8.5 Third: [tex]x^{2}=56.25[/tex]
Fourth: [tex]x=\sqrt{56.25}[/tex]
Fifth: x = 7.5
Related Questions
negative 4 plus what equals negative 2?
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Explanation:
-4 + x = -2
x = 2
the area of a square plot is 529 m² . What is the length of each side of the plot?
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Answer: 279,841 cm2
Step-by-step explanation: 279,841 cm2
Please help me !!! :)
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Answer:
3 because there is one2k and then just one
State the angle relationship and state the measure of each angle indicated that makes lines u and v
parallel
Thank you smmmmm I will mark you btw !
i posted this again bc these r my last questions and hopefully someone sees this to help me!
Answers
Answer:
Q9. ?=53° (corr angles, u//v)
Q10. ?=58° (alt angles, u//v)
Given f(x)=-x+2f(x)=−x+2, find f(-1)f(−1)
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Answer:
f(-1) = 3
Step-by-step explanation:
Plug -1 into the equation
-(-1)+2
Write a real life scenario that could model the following relationship:
y=20x+60
Make sure to include what x and y represent in your description.
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Answer:
You work for x hours and earn $20 for each hour. You get paid $60 before you come in each day. What is y when you work for x hours?
Step-by-step explanation:
x is the independent variable and can vary. You have to add the $60 in there, too. Adding them together gets you to y = 20x + 60 and this real life scenario works.
Determine if each conjecture is true or false. If false, provide a counterexample.
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Answer:
1)TRUE 2) The difference of any two negative integers is a negative integer.
3)TRUE 4) TRUE 5)FALSE-REASON-Freshwater fish maintain the physiological mechanisms that permit them to concentrate salts within their bodies in a salt-deficient environment; marine fish, on the other hand, excrete excess salts in a hypertonic environment.
Step-by-step explanation:
hope this helps
PLS HELP i urgently need help with this "A rolling pin has a diameter of 5 inches. If Lin rolled it across the table and it made 35 rotations, how far did it travel? Round to the nearest tenth."
Answers
Answer:
549.78"
Step-by-step explanation:
diameter÷2=radius=2.5"
2pi2.5=15.71
15.71×35=549.78
IF U HELP I PROMISE I WILL MARK U
Answers
-4y = -16 - 9x
y = 4 + 9/4x
y = 9/4x + 4
m = 9/4
perpendicular m = -4/9x
y = -4/9x + 4 is the answer to problem 3.
3x - 2y = -2
-2y = -2 - 3x
y = 1 + 3/2x
y = 3/2x + 1
m = 3/2x
perpendicular m = -2/3x
y = -2/3x + 1 is the answer to V problem 4.
Answer:
Step-by-step explanation:
simplify the following surd expressions a) 9√3 - 4√3 + √5 + 2√5 b) 10√2 + 4√7 - 6√2
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B) 4√2 + 4√7
Answer:
[tex]a)\:5\sqrt{3}+3\sqrt{5}[/tex]
[tex]b)-6\sqrt{2}+4\sqrt{7}[/tex]
Step-by-step explanation:
[tex]a)\:9\sqrt{3}-4\sqrt{3}+\sqrt{5}+2\sqrt{5}[/tex]
We need to combine like terms:
[tex]9\sqrt{3}-4\sqrt{3}[/tex]
[tex]=5\sqrt{3}[/tex]
[tex]\sqrt{5}+2\sqrt{5}[/tex]
[tex]=3\sqrt{5}[/tex]
[tex]5\sqrt{3}+3\sqrt{5}[/tex]
__________________
Combine like terms:
[tex]b)\:0\times \sqrt{2}+4\sqrt{7}-6\sqrt{2}[/tex]
[tex]0\cdot \sqrt{2}-6\sqrt{2}[/tex]
[tex]=-6\sqrt{2}[/tex]
[tex]-6\sqrt{2}+4\sqrt{7}[/tex]
____________________
Please help;
Find a, R, and T.
Answers
a = 4, R = 147, T = 33
Step-by-step explanation:
find a
a/(a + 7) = (16/3)/(44/3)
a/(a + 7) = 16/44
44a = 16a + 112
44a - 16a = 112
28a = 112
a = 112/28
a = 4
find R
2x + 5 = 3x - 9
5 + 9 = 3x - 2x
14 = x
m ∠R = 180° - (2x + 5)
= 180 - (2(14) + 5)
= 180 - (28 + 5)
= 180 - 33
= 147°
find T
m ∠T = 3x - 9
= 3(14) - 9
= 42 - 9
= 33°
Complete the statement.
Answers
Answer:
angle 4 = 56°
Step-by-step explanation:
Interior angles in the same side of the transversal are supplementary (their sum is 180°)
Angle 1 and 4 are interior angles on the same side of the transversal.
So, angle 1 + angle 4 = 180°
Angle 1 = 124° (given)
124 + angle 4 = 180°
angle 4 = 180° - 124° = 56°
Therefore, angle 4 = 56°
Hope it helps :)
Use the distributive property to write an equivalent expression 2(r+8) 2(r+8)
Answers
Answer:
Simplified expression: (2r+16)(2r+16)
if you need to combine like terms it would be 4r+32
Step-by-step explanation:
to distribute you multiply whatever is outside the parenthesis with everythign inside. 2*r= 2r, 2*8= 16
(2r+16)(2r+16)
and if you want to combine like terms it would be
4r+32
since you add whatever goes together (whole numbers +whole numbers, numbers with variable+ numbers with variable)
Solve the linear inequality below.
9x−8>4x+7
Enter your answer as the correct inequality. For example, if your answer is x<42, enter it like this: x < 42
Answers
Answer:
x > 3
Step-by-step explanation:
Name the asymptote for the graphed function.
x = 2
x = 4
y = 2
y = 4
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y=2
There is one horizontal asymptote present
See the line of graphed function is approaching to 2 but not crossing y=2 .Instead it is trying to be parallel with x axis.Hence the horizontal asymptote is at y=2Option C
Solve this pls
6i<5i+3u
Answers
i < 3u
Step-by-step explanation:
6i < 5i + 3u
6i - 5i < 3u
i < 3u
Which number represents the ratio comparing the average age in groupB to group A if the average age of A=50 years old and B=65 years old?
Answers
-3(3-10x) could you answer it quickly for me? please and thank you
It's distribute property.
Answers
Answer:
-9+30x
Step-by-step explanation:
-3 x 3 is -9
-3 x -10x is 30x
Answer:
-9 + 30x
Step-by-step explanation:
Like you mentioned, to solve this expression we need to use the distributive property...
We have to distribute -3 to 3 and -10x.
When multiplying negative and positive numbers it is important to know that...
-negative times negative equal positive
-negative times positive equal negative
-3 · 3 = -9
-3 · -10x = 30x
Therefore the answer is -9 + 30x
Hope this helps! Let me know if you have any further questions :D
is -10 equal to 4 what is the answer
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A triangle has sides with lengths of 17 inches, 20 inches, and 28 inches. Is it a right triangle?
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Answer:
no
Step-by-step explanation:
Pythagoras theorem
a2 + b2 = c2
the hypotenuse side is always the longest so its 28
:
[tex]17 { }^{2} + 20 ^{2} = 28 ^{2} [/tex]
289+ 400 =784
689 = 784
so the triangle is not a right angled triangle
Which table represents a linear function?
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Answer:Well, a linear function is proportional, a straight line (on a graph). And the numbers must not have the same answer. For instance, if the X input is 5, and the Y output is 7. And then another X input is 5, and the Y output is 8, that's non-linear.
So, the Answer would be the third graph. This is because the X values are steadily increasing, and so are the Y values.
For the X and Y values, for each time X increases by 1, Y increases by -8. This is, linear because both sides are constantly and evenly increasing.
you are driving to a friends house at 35 miles per hour and the friend lives 21 miles away. how long to get to the house
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Answer:
35miles/1 hr=21miles/x hr
= x hr* 35miles/1 hr= 21 miles
= x = 21/35 =0.6 hr
So, traveling at 35mph it will take 0.6 hours to travel 21 miles.
If you want time in mins then keep going:
=> 60 mins = 1 hour, 0.6 hours = x mins
60mins/1 hr = x mins/ 0.6 hr
0.6 * 60 mins = 36 mins.
:. It takes 0.6 hrs or 36 mins to drive 21 miles at a constant speed of 35mph
Step-by-step explanation:
Aright triangle has leg lengths of 7 centimeters and 24 centimeters.
What is the length of the triangle's hypotenuse?
Answers
A^2 + b^2 =c^2
=
49+576=c^2
625=c^2
c= sqrt 625
c=25
Answer:
25 centimeters
Step-by-step explanation:
We can use the Pythagorean Theorem to find the length of a missing side of a right triangle
Pythagorean Theorem: a² + b² = c²
where a and b = legs and c = hypotenuse
For the following problem we are given two legs and need to find the hypotenuse, to do so we simply plug in the length of the legs and solve for the hypotenuse or "c"
Leg lengths = 7 and 24
So a = 7 and b = 24
So we plug in 7 and 24 for a and b and solve for c
a² + b² = c²
a = 7
b = 24
(7)² + (24)² = c²
simplify exponents
49 + 576 = c²
add 59 and 576
625 = c²
take the square root of both sides
√625 = 25
√c² = c
we're left with c = 25
So the length of the hypotenuse would be 25 centimeters
rani is 8 years older than Shweta and the sum of their ages is 26. find their ages
Answers
Answer:
Rani is 34 because she's older.
Shweta is 26. 6 year difference.
3(t-4v+8) whats the awnser to this
Answers
Answer:
3t-12v+24
Step-by-step explanation:
3t+3x-4v+3x8
simplify
3t-12v+3x8
simplify
3t-12v+24
Which factors would historical criticism most likely take into account? Check all that apply.
beliefs that were common during the period the text was written
the suspenseful tone of the text
whether the text is popular with today’s readers
major political events that occurred when the text was written
the original audience for the text
Answers
Historical criticism tries to dig into the background of a context or event, Hence, it will most likely take cognizance of the following :
Major political events that occurred when the text was written Beliefs that were common when the text was written Original audience of the text.In other to have a good grasp of the underlying facts and theories about a certain topic or context, it is important to have a good knowledge of the background into other not to misconceive the details and hence, give a constructive criticism.
The original text ensures that one isn't taken information from a pirated or biased source. Cultural belief, values, political inclination and religion are some of the key factors which should be understood in other to grasp the principle or idea of a particular group or setting.Therefore, political events, Belief and original text are key in performing historical criticism.
Learn more :https://brainly.com/question/24880439
Answer:
The second one
Step-by-step explanation:
solve the quadratic 3x^2+x-5=0
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Answer
x=1- the square root of 61/6
which angles are alternate interior angles
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Answer:
2nd
Step-by-step explanation:because
I NEED HELP ASAP PLEASE NO LINKS!!!
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Answer:
49
Step-by-step explanation:
1/7^-2 is equal to 7^-2*-1 making it 7^2 which is equal to 49.
associative property for 72.3+(-39.1)
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The answer is I think now sure 33.2