if a right triangle has one side measuring 3√2 and another side measuring 2√3, what is the length of the hypotenuse?
Answers
Answer:
[tex] \sqrt{30} [/tex]Step-by-step explanation:
Given,
Perpendicular ( p ) = 3√2
Base ( b ) = 2√3
Hypotenuse ( h ) = ?
Now, let's find the length of the hypotenuse:
Using Pythagoras theorem:
[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]
plug the values
[tex] {h}^{2} = {(3 \sqrt{2} )}^{2} + {(2 \sqrt{3} )}^{2} [/tex]
To raise a product to a power, raise each factor to that power
[tex] {h}^{2} = 9 \times 2 + 4 \times 3[/tex]
Multiply the numbers
[tex] {h}^{2} = 18 + 12[/tex]
Add the numbers
[tex] {h }^{2} = 30[/tex]
Take the square root of both sides of the equation
[tex]h = \sqrt{30} [/tex]
Hope this helps...
Best regards!!
[tex]\small\star\underline\bold\red{Given-}[/tex]
Sides of the right triangle
2√3 (p)3√2 (b)[tex]\small\star\underline\bold\red{To\:Find-}[/tex]
Third side (hypotenuse)[tex]\small\star\underline\bold\red{Solution-}[/tex]
By Pythagoras Theorum ,
[tex]\small\fcolorbox{red}{white}{h² = b² + p² }[/tex]
[tex]\implies[/tex] h² = (2√3)² + (3√2)²
[tex]\implies[/tex] h² = 12 + 18
[tex]\implies[/tex] h² = 30
[tex]\implies[/tex] h = √30
Related Questions
A spinner has four equal-sized sections that are red, yellow, blue, and green. Write the sample space if the spinner is spun two times. Use abbreviations if you wish.
Answers
Answer:
{RR,RY,RB,RG,YR,YY,YB,YG,BR,BY,BB,BG,GR,GY,GB,GG}
Step-by-step explanation:
A spinner has four equal-sized sections that are red(R), yellow(Y), blue(B), and green(G).
If the spinner is spun two times, the sample space is given as follows.
{RR,RY,RB,RG,YR,YY,YB,YG,BR,BY,BB,BG,GR,GY,GB,GG}
Select the correct product of the exponential expression.
6^4
Answers
Answer:
1,296
Step-by-step explanation:
Answer:
1,296
Step-by-step explanation:
Well 6 to the 4th power is also,
6*6*6*6 which is 1,296.
Graph y=-x2-170! Help.pllss
Answers
I have included a picture of the graph (click/tap on it to see the full picture.) I hope this helps! If there's anything else I can do please comment on this answer! If this did help please rate, thanks, and mark brainliest :)
Write the function in standard form.
Y=(3x-2)(3x+6)
Answers
Answer:
y = 9x^2 + 12x - 12.
Step-by-step explanation:
y = (3x - 2)(3x + 6)
y = 9x^2 - 6x + 18x - 12
y = 9x^2 + 12x - 12.
Hope this helps!
a chord of a circle of radius 12 CM subtends an angle of 120 degree at the centre find the area of the corresponding segment of the circle (use π= 3.14 and √3 is equal to 1.73 )
Answers
Answer:
A = 88.44cm²
I hope it helps :)
Explanation:
it's due todayyyyyyy (;ŏ﹏ŏ)
Answers
Sue interest : 169.6061952
Bill interest: 189.9131472
B. Bill will get more interest then sue
Explain
Sue principal balance p= 2300
Interest for 3 years so t= 3
Interest is compounded yearly n= 1
R= 2.4%
A= 2300(1+2.4/100)^3 = 2300(1+0.024)^3 = 2300 x (1.024)^3 = 2469.6061952
Interest for 3 year is A-p= 2469.6061952 -2300
169.6061952
Bill principle p= 1800
Interest for 3 years t= 3
Interest compounded so n= 1
R= 3.4%
A= 1800(1+3.4/100)^3 = 1800 (1+0.034)^3 = 1800 (1.034)^3 = 1989.9131472
Interest in 3 yrs = 1989.9131472 - 1800 =
189.9131472
For B is below
Hopefully this help you :D
There are six poles on a side of a 1 km 200 m long straight road such that there is a pole at the starting and end points of the road. If the poles are equally spaced, then what is the distance between each consecutive pole?
Answers
Answer:
Distance is 200m between each pole
Step-by-step explanation:
First, convert the length of the road into meters
1km= 1000m
1000m +200m= 1200m
There are 6 poles on the side and they're equally spaced
Divide the length of the road by the number of poles to get the distance between the poles
Distance between poles= Length of road/ Number of poles
Distance between poles= 1200m/ 6 poles
Distance between poles= 200m
A bin has 5 white balls and k black balls in it, where k is an unknown positive integer. A ball is drawn at random from the bin. If a white ball is drawn, the player wins 1 dollar, but if a black ball is drawn, the player loses 1 dollar. If the expected loss for playing the game is 50 cents, then what is k?
Answers
Answer:
Step-by-step explanation: The expected loss is 50 cents, we know that it is more likely to lose than win. It is therefore difficult to get-50, so the overall difference between the two possibilities is 2, 50/200=1/4, and the probability to win is 1/4, and the probability to lose is 3/4. Since (1/4)*3=3/4, the number of black balls is 3 times the number of white balls, so k=15.
On a coordinate plane, kite K L M N is shown. Point K is at (5, 3), point L is at (3, 2), point M is at (2, 3), and point N is at (3, 4). What is the perimeter of kite KLMN? StartRoot 2 EndRoot + StartRoot 5 EndRoot units StartRoot 14 EndRoot units 2 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units 4 StartRoot 5 EndRoot units HELP PLEASE
Answers
Answer:
[tex]2\sqrt{2} +2\sqrt{5}[/tex]
Step-by-step explanation:
i just got this one right
the kite has two pairs of congruent sides. using the distance formula, the two shorter sides=[tex]\sqrt{2}[/tex] (since there are two of those length sides, you multiply it by two). Again with the distance formula, the two longer sides=[tex]\sqrt{5}[/tex] (also multiply this by two).this gives the answer c or [tex]2\sqrt{2}+2\sqrt{5}[/tex]
Answer:
The answer is c [tex]\sqrt[2]{2}[/tex] + [tex]\sqrt[2]{5}[/tex] units. just took the test
Step-by-step explanation:
Write the equation of the line that passes through (–2, 1) and is perpendicular to the line 3x – 2y = 5.
Answers
Answer:
y = [tex]-\frac{2}{3} x[/tex] - [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The line (l1) passes through (-2, 1) and is perpendicular to the line whose equation is;
3x - 2y = 5
Converting this equation to slope intercept form gives;
2y = 3x - 5
y = 1.5x - 2.5
Let the slope of the perpendicular line (l2) be m(PERP).
The product of slopes of two perpendicular lines is -1
The slope of our first line (l1) = 1.5
So 1.5 × m(PERP) = -1
m(PERP) = -1 ÷ 1.5 = [tex]-\frac{2}{3}[/tex]
Taking another point (x,y) on line (l2);
[tex]\frac{y - 1}{x + 2} = -\frac{2}{3}[/tex]
Cross multiplying this gives;
y = [tex]-\frac{2}{3} x[/tex] - [tex]\frac{1}{3}[/tex]
which is the equation of our second line (l2).
which is the first step in solving the inequality m-2/6 < - 1? Multiply both sides by 6 Add 2 to both sides Change the direction of the inequality Change the inequality to <=
Answers
Answer:
Multiply both side by 6
Step-by-step explanation:
(m-2)/6 < - 1
Multiply both side by 6
(m-2)/6*6 < - 1*6
m-2 < -6
Add 2 m-2+2 < -6+2
m < -4
Answer:A
Step-by-step explanation:
Given: AB ∥ DC , m CB =62°, m∠DAB=104° Find: m∠DEA, m∠ADB
Answers
Answer:
m∠DEA = 62° and m∠ADB = 318°
Step-by-step explanation:
[tex]AB\left | \right |DC[/tex], - (Given)
m∠CB = 62° (Given)
we have;
m∠CB ≅ m∠DA (parallel lines congruent arc theorem)
m∠DA = 62° = m∠DEA
m∠DAB = 104° Given
Therefore, m∠AB = 104° - 62° = 42° (sum of angle)
m∠DC = 360 - 62 - 62 - 42 = 194° (sum of angles around a circle)
m∠ADB = 360° - m∠AB (sum of angles around a circle)
Therefore, m∠ADB = 360° - 42° = 318°
The required angles are;
m∠DEA = 62° and m∠ADB = 318°
If f(x) = -8x + 8 and g(x) = (x–9,
what is (fºg)(18)?
Enter the correct answer.
DOHO
DONE
Clear all
OOO
o
HURRY !
Answers
Answer:
Step-by-step explanation:
(f ° g)(18) is another way of writing f(g(18)) which is telling you to evaluate function g at an x value of 18, then take that answer and plug it in for x in the function. Like this:
g(18) = 18 - 9 so
g(18) = 9. Now take that 9 and plug it into the f function in place of x:
f(9) = -8(9) + 8 and
f(9) = -72 + 8 so
f(9) = -64
is 0.99 an repeating number
Answers
Answer:
no its not
Step-by-step explanation:
a repeating decimal is one that repeats a number but this is a terminating decimal since it stops.
In a recent year 5 out of 6 movies cost between $50 and $99 million to make. At this rate, how many movies in a year with 687 new releases would you predict to cost between $50 and $99 million to make
Answers
Answer:
573 movies
Step-by-step explanation:
Here, we have 5 out of 6 movies having that cost
Therefore the rate we will be working with is 5/6
Now there are 687 new releases, the value that cost the given price range will be; 5/6 * 687 = 572.5 which is approximately 573
find the value of x.
Answers
Answer:
A. 7
Step-by-step explanation:
The problem is poorly specified, so technically cannot be answered with a specific number.
If we assume the "horizontal" lines are all parallel, then the one marked 21-x has a length that is the average of the other two:
(17 +11)/2 = 21 -x
14 = 21 -x
x = 21 -14 = 7
The value of x is 7.
_____
The attachment shows what happens when the lines are not parallel. The range of the midline lengths is from 3 to 14 for the segment lengths shown.
SOLVE THE QUADRATIC EQUATION TO 3 SIGNIFICANT FIGURES
Answers
Answer:
x= 1.09 and x= -0.461
Step-by-step explanation:
Hope it helps :) :)
Good luck!!
Jan wants to lay sod on this lot. How
much sod does he need?
In sq.ft.
Type in your response.
Answers
Answer:
148.5 sq. ft.
Step-by-step explanation:
Since Jan wants to lay sod on it, Sod required will be equal to area of the lot.
Lot is in trapezium shape
area of trapezium is given by = 1/2(sum of parallel sides) height
parallel sides has length 15 and 18 feet
sum of parallel sides = (15+18) = 33
height = 9 feet
thus area of lot = 1/2(33)9 = 148.5
Thus, Jan will need 148.5 sq. ft of sod.
Please answer this in two minutes
Answers
Answer:
∠ G ≈ 38.9°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos G = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{GH}{GI}[/tex] = [tex]\frac{7}{9}[/tex] , thus
∠ G = [tex]cos^{-1}[/tex] ([tex]\frac{7}{9}[/tex] ) ≈ 38.9° ( to the nearest tenth )
Step by step below
Statistics question; please help.
Scott has hired you to check his machine prior to starting an order. To check it, you set the machine to create 1.5 inch screws and manufacture a random sample of 200 screws. That sample of screws has an average length of 1.476 inches with a standard deviation of 0.203 inches.
Does this sample provide convincing evidence that the machine is working properly?
Thank you in advance!
Answers
Answer:
Does this sample provide convincing evidence that the machine is working properly?
Yes.
Step-by-step explanation:
Normal distribution test:
[tex]$z=\frac{x- \mu }{ \frac{\sigma}{\sqrt{n}} }=\frac{ (x-\mu)\sqrt{n}}{\sigma} $[/tex]
Where,
[tex]x: \text{ sample mean}[/tex]
[tex]\sigma: \text{ standard deviation}[/tex]
[tex]n: \text{ sample size determination}[/tex]
[tex]\mu: \text{ hypothesized size of the screw}[/tex]
[tex]$z=\frac{(1.476-1.5)\sqrt{200} }{0.203 } $[/tex]
[tex]$z=\frac{(-0.024)10\sqrt{2} }{0.203 } $[/tex]
[tex]z \approx -1.672[/tex]
Once the significance level was not given, It is usually taken an assumption of a 5% significance level.
Taking the significance level of 5%, which means a confidence level of 95%, we have a z-value of [tex]\pm 1.96[/tex]
Therefore, we fail to reject the null. It means that the hypothesis test is not statistically significant: the average length is not different from 1.5!
WILL GIVE BRAINLEST ANSWER IF ANSWERED IN 24 HOURS Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle. a = 240 b = 132 c = 330
Answers
By using Heron’s formula
S=a+b+c/2
S=240+132+330/2=351
Area = root of s(s-a)(s-b)(s-c)
By substituting the values
We get that 13385.874....
Write an equation of a line with the given slope and y-intercept. m = 1, b = 4 a) y = x – 4 b) y = –1x + 4 c) y = x + 4 d) y = 4x + 1
Answers
Answer:
y = x+4
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 1x+4
y = x+4
Answer:
[tex]\boxed{y=x+4}[/tex]
Step-by-step explanation:
The slope-intercept form of a line:
[tex]y = mx+b[/tex]
m is the slope and b is the y-intercept
[tex]m=1\\b=4[/tex]
[tex]y = 1x+4[/tex]
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answers
Answer:
see below
Step-by-step explanation:
The cube root is defined for all real numbers, but squaring it makes the first term of F(x) be non-negative. Hence the domain of F(x) is all real numbers, and its range is [-2, ∞).
Shifting the function 2 units left does not change the domain.
Shifting the function 4 units up moves the range to [2, ∞).
In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 8 vowels and 12 consonants, what is the probability you will choose a consonant first and then a vowel?
Answers
Answer: 6/25
Step-by-step explanation:
Number of vowels = 8
Number of consonants = 12
Total number of tiles in bag = (number of vowels + number of consonants)
Total = (12 + 8) = 20
Probability = (required outcomes / total possible outcome)
Probability of choosing a consonants = (number of consonants / total number of word tiles)
P( consonants) = 12 / 20 = 3/5
Since it is with replacement, total number of word tiles will still be 20
Probability of choosing a vowel = (number of vowels / total number of word tiles)
P( vowels) = 8 / 20 = 2/5
Therefore,
P(constant then vowel) = 3/5 * 2/5 = 6/25
Rewrite the function in y.
2x – 4y = 8
Answers
Answer:
-4y=8-2x
Step-by-step explanation:
a guess
Answer:
y = 1/2 x -2
Step-by-step explanation:
2x – 4y = 8
Solve for y
Subtract 2x from each side
2x – 4y -2x= -2x+8
-4y = -2x+8
Divide each side by -4
-4y/-4 = -2x/-4 + 8/-4
y = 1/2 x -2
se tiene que embaldosar el patio interior de un edificio con baldosas cuadradas de 30 cm de lado. El patio es rectangular y sus medidas son 10 m por 12 m. ¿cuantas baldosas se necesitaran?
Answers
Answer:
40,000 baldosas
Step-by-step explanation:
Lo primero que debemos hacer aquí es calcular el área del patio rectangular.
El mejor enfoque para esto es convertir primero sus medidas a centímetros
Matemáticamente, 100 cm = 1 m, entonces 10 m se convierten en 1000 cm y 12 m se convierten en 1200 m.
El área de un rectángulo es L * B y, por lo tanto, tenemos 1200 * 1000 = 1,200,000 cm ^ 2
Ahora, para saber la cantidad de azulejos que tendrá el patio, necesitaremos dividir el área del patio por el área de los azulejos
Matemáticamente, eso sería 1,200,000 / 30 = 40,000 fichas
) 5 is subtracted from one-fourth part of the product of 12 and 3 and multiplied
by 2.
e) 7 is subtracted from the quotient of 48 divided by the sum of 5 and difference
Answers
Step-by-step explanation:
the first answer is 72 as it is it
Answer:
The answer is 8.
Step-by-step explanation:
The product of 12 and 3 is 36. One-fourth of 36 is 9. 5 subtracted from 9 is 4.
A recliner that regularly sells for $798 was on sale for 35% off the regular price.What is the sale price?
Answers
Answer:
2,280
Step-by-step explanation:
Golden Corral charges $11 for a buffet plus $1 for each drink. Western Sizzlin charges $9 for a buffet plus $2 for each drink. Which restaurant has the best deal? Verify that the intersection point show in your graph is a solution for both equations
Answers
Answer:
At 2 drinks, the prices are equal. For 1 drink, Western Sizzlin is better since the buffet price is lower. From 3 drinks and up, Golden Corral is better.
Step-by-step explanation:
"Golden Corral charges $11 for a buffet plus $1 for each drink."
d + 11
"Western Sizzlin charges $9 for a buffet plus $2 for each drink."
2d + 9
Set the 2 cost functions equal:
2d + 9 = d + 11
d = 2
At 2 drinks, the prices are equal. For 1 drink, Western Sizzlin is better since the buffet price is lower. From 3 drinks and up, Golden Corral is better.
What is 5,000 - 245( 30/2))?
Answers
Answer:
1,325
Step-by-step explanation:
30 /2
= 155,000 - 245(15)
= 5,000 - 3,675
= 1,325
Answer:
1,325
Step-by-step explanation: