Given:
The side of the square = [tex]9\sqrt{6}[/tex] m
To find:
The diagonal of the square.
Solution:
We know that the diagonal of a square is:
[tex]d=a\sqrt{2}[/tex]
Where, d is the length of diagonal and a is the side of the square.
Putting [tex]a=9\sqrt{6}[/tex], we get
[tex]d=9\sqrt{6}\sqrt{2}[/tex]
[tex]d=9\sqrt{12}[/tex]
[tex]d=9(2\sqrt{3})[/tex]
[tex]d=18\sqrt{3}[/tex]
Therefore, the diagonal of the square is [tex]18\sqrt{3}[/tex] m.
A fair tossed 10 times . Find the probability of obtaining (i) exactly four heads (ii) 3 heads and 7 tails (iii) at least one head
Answer:
0.205 ; 0.117 ; 0.999
Step-by-step explanation:
Using binomial probability distribution :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Probability of success, p = 0.5
P(x = 4) = 10C4 * 0.5^4 * 0.5^6
P(X = 4) = 0.205078125
B.) 3 heads and 7 tails
P(X = 7) = 10C7 * 0.5^7 * 0.5^3
P(X = 7) = 120 * 0.0009765625
P(X = 7) = 0.117
P(atleast one head)
P(x greater than equal to 1) = p(x =1) +... P(x = 10)
Using a binomial probability calculator :
P(x greater than equal to 1) = 0.999
Find the value of x.
Answer:
x = 62°
Step-by-step explanation:
the top-most angle in the top isosceles triangle must be 73° also
the third angle of the top isosceles triangle is (180 - 73 + 73) which is 34°
the left portion of the right angle must be 56°
you can find by using this equation: x + x + 56 = 180
2x = 124
x = 62
What is the area of the circle of the XY = 17 in?
A. 72.52pi in^2
B. 36.75pi in^2
C. 17pi in^2
D. 8.5pi in^2
Your answer would be A because the radius of the circle is half of its diameter.
Hope this helps <3 :)
What is the area of the rectangle, in square feet? A rectangle with length 20 feet and width 9 feet.
20x9= 180
area= 180^2
writingtogeto20characters
1)
G
Radius
Dlameler:
Area:
Circumference:
Answer:
Radius:2
Diameter:4
Area:12.56
Circumference: 12.56
Kayla buys a two-pint bottle of juice for $3.20. What is the unit rate of the cost of the juice per fluid ounce?
Answer: $0.10 per fluid ounce
Step-by-step explanation:
Kayla bought two-pints for $3.20.
First convert this quantity to fluid ounces.
1 pint = 16 fluid ounces
If 2 pints were bought therefore, this would be:
= 2 * 16
= 32 fluid ounces
32 fluid ounces cost $3.20.
Cost per fluid ounce is therefore:
= 3.20 / 32
= $0.10 per fluid ounce
Answer:
$0.10 per fluid ounce
Step-by-step explanation:
Hope this helps
answer this asap pls no wrong answers
what is the center of the circle: (x+3)^2+y^2=16 ?
Answer:
the answer is (-3,0) or 4
Step-by-step explanation:
PLSSS I NEED HELP i will give you 50 points
Answer:
131.2
Step-by-step explanation:
x/55=31/14
x=31/13*55
x=131.153846154
Solve for x. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 54x+64 49x + 59
Answer:
x=-1
Step-by-step explanation:
54x+64=49x+59
subtract 64
54x=49x-5
subtract 49x
5x=-5
divide by 5
x=-1
Quickly! Find the distance
Find the area of triangle ABC and the area of XYZ. AABC - AXYZ.
Answer:
ABC= 60 XYZ=540
Step-by-step explanation:
The area of a triangle is 1/2*base*height so for ABC we need to find the height first. To do this we use pythag theorem, and create the equation 13^2=5^2+height^2 rearranging this we can figure out that sqrt(height)=13^2-5^2. For the base we do 2*5 since there are two congruent line segments both equal to 5. Using this we can do 1/2*12*10=area of ABC
For XYZ we can do 1/2*30*36=area of XYZ, we can do 2*15 since there are 2 congruent 15 length line segments at the base.
Which Of The Following Is The Value Of The Expression 3y +5 (x-8) when x = 11 and y = -2
1. 9
2. -12
3. -3
4. 15
Answer:
4. 15 im not sure tho :/
Step-by-step explanation:
Fill in the blank with the equation of the line shown for each representation below (y = mx + b). **Pay attention to the scale on the x and y axes!
Answer:
y= 2x + 4
Step-by-step explanation:
What is the median of the data set?
x
x x x x
x x x x x x x
↔0↔1↔2↔3↔4↔5↔6↔7↔8↔9↔10↔11↔12↔13↔14
Answer:aw ehtI Belive its 7 i could be wrong though
Step-by-step explanation:
the way you would solve this is u would arange the numbers like small to greatest then count how many there are and there happends to be 15 then you find the middle.
HOPE THIS HELPS
4x − 5 + x = 3 + 2x + 4 what is the value of x?
Answer:
x=4
Step-by-step explanation:
4x-5+x=3+2x+4
5x-5=7+2x
5x-2x=7+5
3x=12
x=4
2x-1/3+3=x-3/5
pls do make sure to answer this *only if you know*
thank you
Answer:
[tex] x = - 3 \frac{4}{15}[/tex]
Step-by-step explanation:
[tex]2x - \frac{1}{3} + 3 = x - \frac{3}{5} [/tex]
[tex] = > 2x - \frac{ 1 +9 }{3} = x - \frac{3}{5} [/tex]
[tex] = > 2x + \frac{8}{3} = x - \frac{3}{5} [/tex]
[tex] = > 2x - x = - \frac{3}{5} - \frac{8}{3} [/tex]
[tex] = > x = - \frac{9 - 40}{15} [/tex]
[tex] = > x = - \frac{49}{15} [/tex]
[tex] = > x = - 3 \frac{4}{15} (ans)[/tex]
Answer:
x = - [tex]\frac{49}{15}[/tex]
Step-by-step explanation:
Given
2x - [tex]\frac{1}{3}[/tex] + 3 = x - [tex]\frac{3}{5}[/tex]
Multiply through by 15 ( the LCM of 3 and 5 ) to clear the fractions
30x - 5 + 45 = 15x - 9 , that is
30x + 40 = 15x - 9 ( subtract 15x from both sides )
15x + 40 = - 9 ( subtract 40 from both sides )
15x = - 49 ( divide both sides by 15 )
x = - [tex]\frac{49}{15}[/tex]
Please help or explain what I should do to get an answer please and thank you
the first one is 4x + 12
the second one is -28 + 7y
plz help i give brainliest
Answer:
x = 6
Step-by-step explanation:
Tip: You want to isolate the x-variable on one side of the equation to find its value.
1) First, get rid of the radical signs on both sides of the equation by squaring both sides. This should leave you with 5x-7 = 3x+5.
2) Get the x-variables on one side by subtracting 3x from both sides, so the equation should be 2x-7=5.
3) Solve for x by adding 7 to both sides, so that your equation looks like this: 2x = 12.
4) Divide both sides by 2 and you will get x = 6. You can verify 6 as the x-value by plugging 6 back into the original equation.
I hope that helps! :)
Answer:
x=6
Step-by-step explanation:
Find the mean among these numbers: 22, 20, 25, 19, 20
Answer:
17.6
Step-by-step explanation:
If you add all of the digets up you get: 86
86 divided by the quanity of numbers is: 17.6
Sometimes Markuo makes sliders. Each slider has 1/2 as much meat as a regular hamburger. How many sliders can Markuo make with the 1.68 pounds?
Answer:
jingle bell Rock Moana lolil
A student got 85% on a math test with 40 problems. How many did the student get correct?
Answer:
The student got 34 of the 40 questions correct.
Step-by-step explanation:
85% of 40 is 34.
Hope this helps! :)
I would appreciate brainliest, if not that's okay!
Answer:
47 correct answers
Step-by-step explanation:
Help me! :) 12 points!
Answer:
Vertical angles: <3 and <8, <2 and <5, <1 and <6, <4 and <7 (choose one pair, these are all right)
Linear: <1 and <5, <2 and <6, <3 and <7, <4 and <8, there are more (choose one pair, all these are right)
Congruent: Choose one of the vertical angle pairs I listed above
Step-by-step explanation:
Vertical angles are diagonally across for each other and equal the same angle. You would get a better explanation if you looked up pictures.
Linear angles are two angles on a straight line that are divided by another line. Again, you would get a better explanation by looking at a visual
Congruent angles are equal to each other, and because there are no angle measures here, you would go with a vertical angle pair.
Answer:
Step-by-step explanation:
Vertical angles: <3 and <8, <2 and <5, <1 and <6, <4 and <7 (choose one pair, these are all right)
Linear: <1 and <5, <2 and <6, <3 and <7, <4 and <8, there are more (choose one pair, all these are right)
Congruent: Choose one of the vertical angle pairs I listed above
A scoop used to measure
powdered drink mix is in
the shape of a cone with a
radius of 5 cm
What is the height of the scoop if its volume is 75pi cm cube
Answer:
9
Step-by-step explanation:
V=pi (r squared) (h/3)
75pi = 25pi (h/3)
Divide both sides by 25 pi
3= h/3
Multiply both sides by 3
h=9
In an all boys school, the height of the student body are normally distributed with a mean of 69 inches and a standard deviation of 5 inches. using the empirical rule, what percentage of the boys are between 54 and 84 inches tall?
Answer:
99.7% of the boys are between 54 and 84 inches tall.
Step-by-step explanation:
The heights 54 and 84 inches are 3 standard deviations away from the mean. Thus, 99.7% of the boys are between 54 and 84 inches tall.
The percentage of the boys are between 54 and 84 inches tall is 99.7%
What is percentage?
Percentage a relative value indicating hundredth parts of any quantity.
What is empirical rule?
The empirical rule or the three-sigma rule , is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations of the mean.
The empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
From question mean(μ) = 69 in. and standard deviation(σ)= 5 in.
(µ ± σ) = (69 ± 5)
=64 - 74
=68%
(µ ± 2σ) =(69 ± 10)
=59 -79
=95%
(µ ± 3σ) =(69 ± 15)
=54 -84
= 99.7%
Thus the percentage of the boys are between 54 and 84 inches tall is 99.7%
To know more about empirical rule click here
https://brainly.com/question/16643905
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Which of these systems of linear equations has no solution?
A
y = 3x + 8
y = 3x + 16
B
y = 3x + 16
y = 6x + 16
C
y = 3x + 8
y = 6x + 16
D
y = 3x + 8
y = 8x + 16
hurry please
Answer:
A is correct
Step-by-step explanation:
A has no solution because since the slopes are the same, setting both equations equal to each other will cancel out the slopes and result in 8=16, meaning no solution will make both sides equal to each other.
B does have a solution because of different slopes
C does have a solution because of different slopes
D does have a solution because of different slopes
Tom and Jeremy have a circular pool with a diameter of 12 feet.What is the circumference of the pool?
Answer:
37.68
Step-by-step explanation:
Circumference = Diameter x pi
Diameter = 12 feet
12 x 3.14 = 37.68
The circumference of the pool is 37.68 feet.
The numerator of the given fraction is 4 less than the denominator. If 5 is added to both numerator and denominator, the resulting fraction is equivalent to 5/7 . What is the original fraction? heeeeeeelp!!!
Answer:
5/9
Step-by-step explanation:
Let the denominator be k and thus numerator be 4 less than k or k - 4.
Fraction = (k - 4)/k
If 5 is added to both:
=> (k-4 + 5)/(k + 5) = 5/7
=> 7(k + 1) = 5(k + 5)
=> 7k + 7 = 5k + 25
=> 2k = 18
=> k = 9
Thus,
Fraction is (k-4)/k = (9-4)/9 = 5/9
A farmer sells apple cider in 2 quart bottles. How many bottles will he need to hold 70 gallons of cider
What is the common ratio of the sequence?
-2, 6, -18, 54,...
a. −3
b. −2
c. 3
d. 8
Answer:
common ratio=t2/t1
=6/(-2)
=-3