Answers
Answer:
182.353745
Step-by-step explanation:
[tex]\frac{0.482 x61.2^2}{\sqrt{98.01} }[/tex]
Exponent First!
61.2^2 = 61.2 × 61.2 = 3745.44
Next, start multiplying it by 0.482
3745.44 × 0.482 = 1,805.30208
Then Solve for the Square root of 98.01
[tex]\sqrt{98.01}=9.9[/tex]
Finally, divide 1,805.30208 by 9.9
1,805.30208 ÷ 9.9 = 182.353745
Related Questions
factorize: 9x^2 - 24xy + 16y^2
Answers
9x²-24xy+16y²
(3x)²-2.(3x)(4y) +(4y)²
(3x-4y)²
(3x-4y)(3x-4y)
Answer:
[tex](3x -4y)^2[/tex]
Step-by-step explanation:
[tex]9x^2 - 24xy + 16y^2 = (3x)^2 - 24xy + (4y)^2[/tex]
[tex]=(3x)^2 -2(3x \times 4y) + (4y)^2\\[/tex]
a = 3x , b = 4y . The expression [tex]a^2 - 2ab + b^2 = (a-b)(a-b) =(a-b)^2[/tex]
[tex]=(3x -4y)(3x - 4y)[/tex]
[tex]9x^2 - 24xy + 16y^2 = (3x -4y)^2[/tex]
can someone help me understand this, please? For some reason my answer is correct but I need to understand how did I found the correct answer
Answers
Answer with step-by-step explanation:
The way the question is worded, this actually shouldn't be correct. The correct answer should be [tex]3:4[/tex].
Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.
Why?
By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.
Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are [tex]\overline{RS}[/tex] and [tex]\overline{AB}[/tex].
The ratio of [tex]\overline{RS}:\overline{AB}[/tex] is [tex]18:24\implies \boxed{3:4}[/tex].
The reason why it ideally should be [tex]3:4[/tex] and not [tex]4:3[/tex] is because the question states [tex]RTSU\sim ABCD[/tex], which mentions [tex]RSTU[/tex] first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.
work out the average speed of 40 km in 2.5 hours
Answers
Answer:
19.20
Step-by-step explanation: used
a calc
pls help with both of them
will give brainliest and everything
Answers
So π (1.3)^2(4.83)
Why 1.3 but not 2.6 though? Because 2.6 is the diameter, to find the radius, divide the diameter by 2, so 1.3.
And so the volume of the cylinder is 29.74083in^3 or 29.74in^3 rounded to the nearest hundredth.
The volume for a triangular prism is
(bh/2)h, or (base•height/2)height.
So to find the base, take the length and width and times it.
3 1/2•1=3 1/2
The base is 3 1/2, or 3.5 inches. The height is given as 4 inches.
(3.5•4/2)4=28
The volume of the triangular prism is 28 in^3
Andrea played dominos nonstop for 52 minutes in Little Havana. If each match lasted 13 minutes, how many matches did she play in that time?
Answers
Answer:
4 Matches
Step-by-step explanation:
According To the Question,
Given, Andrea played dominos nonstop for 52 minutes.And, each match lasted 13 minutes .Now, The Total Matches she plays in that time = [tex]\frac{(Total Time Played)}{(Time On Each Match)}[/tex]
Thus, Total Matches = 52 / 13 ⇔ 4 Matches
What is the range of the function y=(x+2)(x-4)
Please explain how you got it as well
Answers
Answer:
The range is between -2 and +4.
Step-by-step explanation:
To find range you just need to get X ignoring the Y.
(X+2) is X= -2
(X-4) is X = +4
Y = x^2 -2x -8
Now we know that the range is from the minimum y-value to the maximum (if there is one)
In functions like this, they have the form y = ax^2 + bx + c, where c is the minimum or maximum for the given function
In this case, it's a minimum because there aren't any y points on the graph smaller than -8
That means the range is: y >= -8
Use the question below to answer the conditional probability question.
Answers
Explanation: there are a total of 100 employees so that is the denominator. And we are trying to find the probability of people who are married and/or have a child. We know that 75 are married and 57 have at least one child meaning 57 out of the 75 have a child. So 75 is the numerator bc it accounts for those who are married and have a child. Hope that helps!
hey there, please help me. thank you
Answers
Answer:
S.S.S
Step-by-step explanation:
When three sides of a triangle are respectively equal to three corresponding sides of another triangle, they are said to be congruent .
hope it is helpful to you
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4
16
Find the exact value of x.
=
Answers
Answer:
The value of x is 8
Step-by-step explanation:
602.88 rounded to 2 decimal place is ?
Answers
Answer:
it will be 603.00
it will. e counted from the right to the left
what is the solution to the system of equations
Answers
Answer:
O A. [tex](-1,2)[/tex]
Step-by-step explanation:
[tex]y=x+3[/tex]
[tex]2=-1+3[/tex]
[tex]2=2[/tex]
[tex]y=-x+1[/tex]
[tex]2=-1+1[/tex] Since two -x's are being used, x becomes positive!
2 = 1 + 1
2 = 2
Solution: (-1, 2)
BRAINLIEST IF CORRECT
Generating random samples.
Answers
Answer:
1st and 3rd answer
Step-by-step explanation:
1st answer - Having a sample that is not random does not allow you to generalize the results of the experiment/study to the population because it is not representative of the population in the first place.
3rd answer - The definition of a random sample is that each member of the population has an equal chance of being selected.
Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π
Answers
Answer:
volume of a cone formula = V=πr²h/
3
V=3.14(5)²3/3
V≈78.54
Express y in terms of x
Answers
Answer:
see explanation
Step-by-step explanation:
(a)
Given y is inversely proportional to x² then the equation relating them is
y = [tex]\frac{k\\}{x^2}[/tex] ← k is the constant of variation
To find k use any ordered pair from the table.
Using (1, 4 ) , then
4 = [tex]\frac{k}{1^2}[/tex] = [tex]\frac{k}{1}[/tex] ( multiply both sides by 1
4 = k
y = [tex]\frac{4}{x^2}[/tex] ← equation of variation
(b)
When y = 25 , then
25 = [tex]\frac{4}{x^2}[/tex] ( multiply both sides by x² )
25x² = 4 ( divide both sides by 25 )
x² = [tex]\frac{4}{25}[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{4}{25} }[/tex] = ± [tex]\frac{2}{5}[/tex]
Since x > 0 then x = [tex]\frac{2}{5}[/tex]
Mike works h hours in a week. To find his weekly pay he multiplies his hours by his pay of $30 per hour and adds $5 for his sales bonus. He's decided that he wanted to take one-fifth of his weekly pay and place it in his savings. Which simplified expression represents the amount that will go into his savings each week?
Answers
Answer:
6h + 1
Step-by-step explanation:
number of hours: h
pay per hour: 30
pay for the hours: 30h
add sales bonus: 30h + 5
1/5 of total above: (1/5)(30h + 5) = 6h + 1
Answer: 6h + 1
how much square units of 50 units
Answers
Answer:
7.07106781187
Step-by-step explanation:
if its just asking [tex]\sqrt50[/tex]
:D
A square has the same perimeter as a triangle. The triangle's area is 16 root 3. What is the hypotenuse of the square?
Answers
Answer:
12\sqrt{2}
Step-by-step explanation:
To get the hypotenuse, first we need to get the side length of the square
Area of the square = L²
16\sqrt{3} = L²
L = 4×3
L = 12
Using pythagiras theorem to get the hypotenuse
Hyp² = 12²+12²
Hyp² = 144+144
Hyp² = 288
Hyp = \sqrt {288}
Hyp = 12\sqrt{2}
Hence the hypotenuse of the square is 12\sqrt{2}
Solve for x.
5(x – 10) = 30 – 15x
Answers
Answer:
x=4Step-by-step explanation:
[tex]\sf 5(x - 10) = 30 - 15x[/tex]
[tex]\sf 5x-50=30-15x[/tex]
[tex]\sf 5x-50+50=30-15x+50[/tex]
[tex]\sf 5x=-15x+80[/tex]
[tex]\sf 5x+15x=-15x+80+15x[/tex]
[tex]\sf 20x=80[/tex]
[tex]\sf \frac{20x}{20}=\frac{80}{20}[/tex]
[tex]\sf x=4[/tex]
Pls help if you only know the correct answer! Thanks! :)
Answers
Answer:
A. -3/5 B. 1/5. C. 0.8.
Step-by-step explanation:
Since A is on the left side of 0, it will be negative, in which -3/5 is the only negative answer on there, so A= -3/5. Since B is on the right side of the 0 it's positive, and it is equal to 1/5 which gets you to 0.20, which will be the value of each line since 1 divided by 5 is equal to 0.20. 0.8 is also known as 0.80 so C will be next to the 1.
solve it : -
[tex] \sqrt{6 \times 24} [/tex]
_______
Answers
Answer:
12
Step-by-step explanation:
sqrt(6*24)
sqrt(144)
sqrt(12*12)
12
Answer:
12
Step-by-step explanation:
6×24=144
Sq. Root of 144=12
Drag each label to the correct location on the image.
Here is a multiplication sentence:
(1 × 4) × 2 = 8
Drag the numbers and the parentheses to create an equivalent multiplication sentence that illustrates the associative property of multiplication.
Answers
Answer:
1 x (4 x 2) = 8
Step-by-step explanation:
1 x (4 x 2) = 8
URGENT PLZ HELP: Graph y = tanx for -pi/4 ≤ x ≤ x/4.
What is the range?
Answers
To solve for the missing length, which operation should you perform?
Answers
Answer:
? = 15 yards
Step-by-step explanation:
h² + b² = ?²
9² + 12² = ?²
81 + 144
225
√225 = 15
Answer:
Pythagorean theorem
Step-by-step explanation:
You should use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
9^2+ 12^2 = ?^2
81 +144 = ?^2
225 = ?^2
Take the square root of each side
sqrt(225) = sqrt(?^2)
15 =?
a bucket contains 3 1/2 gallon of water. If Marie adds 5 gallons more, how many gallons of water will there be in all?
Answers
Answer:
8 1/2
because 3 + 5= 8+ 1/2= 8 1/2
What is the remainder when 4x^3+8x-32 is divided by x+10?
Answers
Answer:
The remainder is -4112.
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. According to the PRT, when we divide a polynomial P(x) by a binomial in the form of (x - a), then the remainder will be P(a).
We are dividing:
[tex](4x^3+8x-32)\text{ by } (x+10)[/tex]
We can rewrite the divisor as:
[tex]x+10=x-(-10)[/tex]
So, a = -10.
Then according to the PRT, the remainder of the operation will be:
[tex]R=P(-10)=4(-10)^3+8(-10)-32=-4112[/tex]
If someone were to have 300 feet of fencing, what is the maximum area they can enclose?
Answers
Answer:
I think it would be 5,625ft^2?
Step-by-step explanation:
300÷4=75
75×75=5,625
Can anyone help with this?
Answers
A is the point with coordinates (x, 2y).
B is the point with coordinates (3x, 4y).
The midpoint of AB has coordinates (-4, 15).
Work out the values of x and y.
Answers
Answer:
x= -2 , y=5
Step-by-step explanation:
(x+3x)/2 = -4
4x/2 = -4
4x= -8
x = -2
(2y+4y)/2=15
6y/2=15
6y=30
y=5
please help!!!!!!!!!!!
Answers
Answer:
Q(1,5)
R(3,-1)
S(0,0)
T(-2,3)
Please give brainiest?
In, z = 4 cm, x=8cm, and m
Answers
Answer:
what do u want us to do pls be more clear!