The lengths of the legs of a right triangle are 5 centimeters and 10 centimeters. Which of the following measures is closest to the length of the hypotenuse?
Answers
Hey there!
The length of the hypotenuse is about 11 centimeters.
To solve this, we use the formula [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse leg and [tex]a[/tex] and [tex]b[/tex] are the other sides. So we can plug the numbers in to the formula:
[tex]5^2 + 10^2 = c^2[/tex]
Now we get the squares of 5 and 10:
[tex]25 + 100 = c^2[/tex]
Add 25 and 100:
[tex]125 = c^2[/tex]
Take the square root from both sides:
[tex]11.18033... = c[/tex]
The length of the hypotenuse is about 11 centimeters.
Hope it helps and have an amazing day!
The length of Hypotenuse = 11.18 cm
What is Pythagoras Theorem?In mathematics, the Pythagoras theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
Given,
In right angle ΔABC
AB = 5 cm
BC = 10 cm
AC = ?
By the Pythagoras theorem,
AC² = AB² + BC²
AC² = 5² + 10²
AC² = 25 + 125
AC = √125 = 11.18
Hence, 11.18 cm is the length of Hypotenuse AC .
Learn more about Pythagoras theorem here:
https://brainly.com/question/343682
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Related Questions
The length of a rectangle is eight more than twice its width. The perminiter is 96 feet . find the deminsions. With the variable, equation, and solution.
Answers
Step-by-step explanation:
lenght = x + 8
width = x
[tex]perimeter = 2(x + 8) + 2(x) \\ 96= 2x + 16 + 2x \\ 4x = 96 - 16 \\ x = \frac{80}{4} \\ x = 20[/tex]
then
Lenght = x + 8 = 20 + 8 = 28
Width = x = 20
Step-by-step explanation:
L=8+2W
P=2L+2W
P=2(8+2W)+2W
P=16+4W+2W
P=16+6W
P=96
96=16-6W
80=6W
W=13.3333
Please solve if so thank you so much!!
Answers
Answer:
60 x 4
Step-by-step explanation:
Answer:
y=35x+60
x=4
Step-by-step explanation:
15 points!! Please help
Answers
Answer:
3 feet
Step-by-step explanation:
Answer:
3 feet
Step-by-step explanation:
A dilation is changing the size of a figure. A factor of 2.5 would mean to multiply it by 2.5.
1.2 x 2.5 is 3
3 ft is the answer
A student was studying the relationship between how much money students spend on food and on entertainment per week. Based on a sample size of 270, he calculated a correlation coefficient (r) of .013 for these two variables. Which of the following is an an appropriate interpretation?
a. This low correlation of .013 indicates there is no relationship.
b. There is no linear relationship but there may be a nonlinear relationship.
c. This correlation indicates there is some type of linear relationship.
Answers
Answer:
The answer is "Option b".
Step-by-step explanation:
In this question, the value of the correlation coefficient is 0.013 from the given information. It is the equation, which realized the indeed closer their correlation coefficient is to -1 or 1, the greater the positive correlation, although in this case, the value of the correlation coefficient is 0.013, close to "0".
Up all the road 6 meters in 12 seconds. What is the speed?
Answers
Step-by-step explanation:
speed = distance/time
= 6/12 m/s
= 0.5 m/s
Answer:
0.5m/s
Step-by-step explanation:
Formula for speed is distance /time taken
which is 6m/12s,which Is then equal to0.5m/s
Solve the equation. b/6 = 3 b=
Answers
Answer:
b = 18
Step-by-step explanation:
We do the inverse operation thing:
3 x 6 = 18
We can check it by filling it in:
18/6 = 3
So b = 18
Leslie leaves her house and drives to another city for her
sister's wedding. She drives 77 miles north and then 420
miles east. How far is Leslie from her house? HELP PLEASE
Answers
Answer:
Step-by-step explanation: You have to add the number
420
+77
497
Need answer ASAP. Will give brainliest
Answers
Answer:
b
Step-by-step explanation:
V 34
Answer:
B
Step-by-step explanation:
credit to the other person
If an airplane in a 1 in. : 4 ft. scale drawing is 5 in. long, how long is the actual airplane? Use proportions to solve the problem and show all work. Provide a proper label with your answer.
Answers
Answer:
20ft
Step-by-step explanation:
20ft is the answer because you would do 4 x 5 = 20, since the scale factor is 1in : 4ft
Hope this helped :)
could anyone help me find the area of this please :)
Answers
Answer:
40
Step-by-step explanation:
if you cute the shape into 2 triangles and move them to make a square you'll get 5 and 8, then multiply them together and you'll get 40
PLEASE HELP
Simplify the expression 5^3+3(5-3)
A.137
B.131
C.27
D.21
Answers
Answer:
the correct answer is 131
Step-by-step explanation:
5^3 +3(2)
= 125 +6
=131
Philip wrote the following inequality on the board:
g> 15 Which value for g makes this statement true?
A. 17
B. 15
C. 13
D. 10
Answers
Answer:
A is the answer! (hope I wasn't too late)
1. 1.7, 0.9, 1.07, 1.9, 0.7
6. 3.21, 3.021, 3.12, 3.121
2. 2.0342, 2.3042, 2.3104, 2.4 7. 5.5, 5.059, 5.0090, 5.05
3. 5, 5.012, 5.1, 0.502
8. 0.09, 0.012, 0.0089, 0.0189
4. 0.6, 0.6065, 0.6059, 0.6061 9. 1.3, 1.309, 1.03, 1.39
5. 12.9, 12.09, 12.9100, 12.9150 10.4.01, 4.0011, 4.011, 4.101
Answers
Answer:
3
Step-by-step explanation:
Katrina used 2 5/6 packs of mechanical pencils in the first 2/3 of the year.
At what rate is Kelly using mechanical pencils?
A. 1 8/9 packs per year
B. 2 1/6 packs per year
C. 3 1/2 packs per year
D. 4 1/4 packs per year
Answers
Katrina is using 21//6 (B) packs per year
700
630
560
490
420
nt
350
ur
280
s)
210
140
70
0
3
The value of y when x is 0
Answers
please pic the photo correct ly
Please and thanks DUE IN 5min
Answers
Answer:
3 and 1/4
Step-by-step explanation:
what is (-6,-2)×1/2 ?
Answers
Answer:
the answer is (-4 )
An online furniture store sells chairs for $200 each and tables for $650 each. The
store must sell no less than $12000 worth of chairs and tables each day. Write an
inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint.
Answers
Answer: There’s alot of answers but one of the is 18 table with the cost of 11,700$ and 1 chair with 200$ so in totally it 11,900, less then 12,000
Step-by-step explanation:
A manufacturer of prefabricated homes has decided to subcontract four components of the homes. Several companies are interested in receiving this business, but none can handle more than one subcontract. The bids made by the companies for the various subcontracts are summarized in the following table. Assuming that all the companies can perform each subcontract equally well, to which company should each subcontract be assigned if the home manufacturer wants to minimize payments to the subcontractors? Assuming that all the companies can perform each subcontract equally well, to which company should each subcontract be assigned if the home manufacturer wants to minimize payments to the subcontractors?
Bids by Companies (in $1000s) for Various Subcontract
Company
Component A B C D
1 185 225 193 207
2 200 190 175 225
3 330 320 315 300
4 375 389 425 445
What is an LP model that matches this?
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Let [tex]x_{ij}=1[/tex] when i is the element itself is allocated to 'j' [tex]i_0[/tex]
Min
[tex]185X_{1A}+225X_{1B} +193X_{1C} +207X_{1D} +200X_{2A} +190X_{2B} +175X_{2C}+225X_{2D}+330X_{3A} +320X_{3B} +315X_{3C}+300X_{3D}+375X_{4A}+389X_{4B}+425X_{4C}+ 445X_{4D}[/tex]
Subject to:
[tex]X_{1A} +X_{1B}+X_{1C}+X_{1D}=1\\\\X_{2A} +X_{2B}+X_{2C}+X_{2D}=1\\\\X_{3A} +X_{3B}+X_{3C}+X_{3D}=1\\\\X_{4A} +X_{4B}+X_{4C}+X_{4D}=1\\\\X_{1A} +X_{2A}+X_{3A}+X_{4A}=1\\\\X_{1B} +X_{2B}+X_{3B}+X_{3B}=1\\\\X_{1C} +X_{2C}+X_{3C}+X_{4C}=1\\\\X_{1D} +X_{2D}+X_{3D}+X_{4D}=1[/tex]
Can anyone solve this?
Answers
Answer:
x = 35°
∠Q = 127°
∠R = 35°
∠P = 18°
Step-by-step explanation:
x + 2x + 57 + x - 17 = 180 {Angle sum property of triangle}
x + 2x + x +57 -17 = 180 {Combine like terms}
4x + 40 = 180
4x = 180 - 40
4x = 140
x = 140/4
x = 35
∠Q = 2x + 57 = 2*35 + 57 = 70 +57 = 127°
∠R = x = 35°
∠P = x - 17 = 35 - 17 = 18°
The ratio of tea drinkers to soda drinkers at a university is 7:4. There are 38 soda drinkers. How many tea drinkers are there?
Show the correct work. Set- up the proportion. Show the correct answer.
Answers
Answer: 66.5/66
Which of the following expressions has the greatest value?
110
33
52
25
Answers
Answer:
2^5
,,,,,,,,,,, ,,,,,,,,,
-2n - 5 = 17 what does n=
Answers
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-2n-5=17 Equation/Question
Step 2
-2n-5=17 Simplify
-2n-5=17
Step 3
-2n-5=17 subtract 5
-2n=-22
Step 4
-2n=-22 Divide
answer
n=-11
Hope this helps
Please find X............
Answers
Answer:
[tex]x=45.57^{\circ}[/tex]
Step-by-step explanation:
Given that,
Hypotenuse, H = 10
Base = 7
We need to find the value angle x. The relation between Hypotenuse, Base and the angle x is given by :
[tex]\cos\theta=\dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\cos\theta=\dfrac{7}{10}\\\\\theta=\cos^{-1}(\dfrac{7}{10})\\\\\theta=45.57^{\circ}[/tex]
So, the value of x is [tex]45.57^{\circ}[/tex].
CUCU
3) Which function represents the sequence? 45, 40, 35, 30, 25,-
OA) f(x) = 45x -5
OB) f(x) = 45 - 5(x - 1)
OC) f(x) = 5 - 45(x - 1)
OD) f(x) = 5x + 45
Save
Not Graded
AEDc0
9:28 AM
116/2021
1
Answers
Answer:
B
Step-by-step explanation:
well, the sequence are in the form
[tex]a1, a2, a3, a4, a5, ... , an[/tex]
a1 = first term = 45
you can plug 1 to any of the option
and ended with B the only function that satisfies what we need
PLEASE HELP ASAP!!!!!!!!!! IT WILL REALLY HELP
Answers
Answer:
whats the subject? science?
Step-by-step explanation:
Find The Amount Of Time
I = $60, P = $750, r = 4%
Answers
Answer:need help with what question?
Step-by-step explanation: what question?
You borrow $5000 from the bank at %3 annual interest compounded monthly. The monthly payment is $250z What is the balance after the third payment.
Answers
Answer:
it should be $100,000
Step-by-step explanation:
John is going to invest in an account paying an interest rate of 3.8% compounded
daily. How much would John need to invest, to the nearest hundred dollars, for the
value of the account to reach $1,880 in 20 years?
Answers
Answer:
900
Step-by-step explanation:
Answer:
900
Step-by-step explanation:
Help me please! I am in desperate need
Answers
Answer:
C. The coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.
Step-by-step explanation:
The binomial theorem is given as:
[tex](x+y)^n=\sum_{k=0}^{n} \binom{n}{k}x^{n-k}y^k[/tex]
[tex]n-k+k=n[/tex], and the coefficient of these terms are represented by [tex]\binom{n}{k}[/tex].
*Note [tex]\binom{n}{k}=\binom{n}{n-k}=\frac{n!}{k!(n-k)!}[/tex]
Therefore the coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.