Answer:
G.31
Step-by-step explanation:
when n = 31
1116n = 1116*31 = 34596
34596 is square of 186.
= 186^2
= 34596
and other values (24,28,33) of n does not give square during 1,116n but 31 gives.
Hence, 31 is the possible value of n for which 1,116n is the square of an integer(186).
Mary bought an aquarium that is cuboid in shape. The bottom is a rectangle with sides of 50 cm and 70 cm. The height of the aquarium is 4 dm. Find how many gallons of water this aquarium can hold. How much a square decimeter of glass was used to make the aquarium when it was open at the top and the bottom was plastic?
Answer:
Area of the paper required =7000 cm²
Step-by-step explanation:
Dimensions of an Aquarium:
Length (l) = 80 cm,
Breadth (b) = 30 cm,
Height (h) = 40 cm
/* According to the problem given,
Area of the paper required =
Area of the base + 2×Area of two side faces + Area of the back side
(Front side should be visible,So, it is not covered )
= lb+2×bh+lh
= 80×30+2×(30×40)+80×40
= 2400+2×1200+3200
= 2400+2400+3200
= 7000 cm²
Therefore,
Area of the paper required =7000 cm²
Step-by-step explanation:
A
31
-ft ladder leans against a building so that the angle between the ground and the ladder is
80
How high does the ladder reach on the building? Round answer to one decimal place
Check the picture below.
Make sure your calculator is in Degree mode.
HI IM GIVING BRAINLIESST CAN SOMEONE PLEASE EXPLAIN AND HELP
Answer:
∠FDE or ∠GDA
Step-by-step explanation:
The adjacent angle refers to the angle which lies right next to an angle, and the sum of the angles is 180, meaning they are supplementary.
Here, in this diagram, there are 2 adjacent angles for ∠FDG :
∠FDE∠GDApls help i’ll give 20 points and brainliest
Answer:
all you have to do is plug points into the equation m=(x1-x2)/(y1-y2) to find the slope. then choose one of the points to plug into the equation y-y1=m(x-x1).
Step-by-step explanation:
use the formulae for each question.
Mrs. Gurung is a bank Manager in a development bank. Her monthly is Rs 50,000.
ther annual income is equivalent to her 15 month's salary, find her income tax
in a year.
The income tax of Mrs Gerung based on the information given in a year will be Rs 142000.
How to calculate the tax?From the information given, the monthly income is s Rs 50,000 and the annual income is equivalent to her 15 month's salary,
The income tax will be:
= 50000 + (450000 × 1%) + (100000 × 10%) + (200000 × 20%) + (125000 × 30%)
= 50000 + 4500 + 10000 + 40000 + 37500
= 142000
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Please help with this as soon as possible. Assignment due tomorrow!!
PLSS HELPP
Question 13 of 40
-
-
If f(x) = 2x² - 5 and g(x) = x² - 4x − 8, find (f – g)(x).
Options:
A. (f - g)(x) = -x^2 - 13
B. (f - g)(x) = x^2 + 4x + 3
C. (f - g)(x) = x^2 - 4x - 3
D. (f - g)(x) = 3x^2 - 4x - 13
Answer:
[tex](f - g)(x) = x^2 + 4x + 3[/tex]
Step-by-step explanation:
[tex]f(x) = 2x^2 - 5g(x) = x^2 - 4x - 8(f - g)(x)=2x^2 -5 - (x^2 -4x-8)[/tex]
[tex]= 2x^2 -5 -x^2 +4x+8[/tex] ----------> distribute
[tex]= x^2 +4x +3[/tex] ------------> combine like terms
Therefore, Option B is the correct answer.
The distance from the base of the tree to the tip of the shadow is 24 feet.
Sin 20 degrees = 0.3420
Cos 20 degrees = 0.9396
Tan 20 degrees = 0.3639
————————————————————————
Which measurement is closest to the heigh of the tree?
A. 8.2
B. 8.7
C. 22.6
D. 25.54
E. 65.95
The measurement is closest to height of tree is 8.7
The correct option is (B).
What is trigonometry?The branch of mathematics concerned with specific functions of angles and their application to calculations.
As the distance between base and tip of tree's shadow is 24 feet
Angle of Elevation is 20 degrees
[tex]tan \theta \; = \frac{P}{B}[/tex]
tan 20 = [tex]\frac{P}{24}[/tex]
0.3639 = [tex]\frac{P}{24}[/tex]
P= 0.3639 *24
P = 8.7336
The measurement is closest to height of tree is 8.7
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One worker takes 20 hours to do a job. A second worker can do the same job in 15 hours. When a third worker is added, it takes the three of them 6 hours to do the job. How long would it take the third worker to do the job
Answer:
20 hrs
Step-by-step explanation:
t = third worker
1 / ( 1/20 + 1/15 + 1/t) = 6
1 = 6/20 + 6/15 + 6/t
3/10 = 6/t
t = 20 hrs
The area of a rectangle is 42ft^2, and the length of the rectangle is 11 less than three times the width. Find the dimensions of the rectangle.
Answer:
7 ft ×6 ft
Step-by-step explanation:
Area of rectangle= length ×width
Let the length and width of the rectangle be L and W ft respectively.
Form 2 equations using the given information:
LW= 42 -----(1)
L= 3W -11 -----(2)
Substitute (2) into (1):
(3W -11)(W)= 42
Expand:
3W² -11W= 42
3W² -11W -42= 0
[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]
Applying quadratic formula:
[tex]W= \frac{ - ( - 11)± \sqrt{( - 11) {}^{2} - 4(3)( - 42) } }{2(3)} [/tex]
[tex]W= \frac{ 11± \sqrt{625 } }{6} [/tex]
[tex]W= \frac{ 11± 25}{6} [/tex]
W= 6 or W= [tex] - \frac{7}{3} [/tex] (reject)
Substitute W= 6 into (1):
L(6)= 42
L= 42 ÷6
L= 7
Thus the dimensions of the rectangle is 7 ft ×6 ft.
5 points and brainliest to the best correct answer, questions in photo, thank you
Answer:
C) 150
Step-by-step explanation:
A decrease of 50% every two days can be predicted with the formula
x * 0.5^t
x being the start amount
t being time
5 days with periods of 2.5 days, 5 / 2.5 = 2
start amount of 600
600 * 0.5^2
600 * 0.25
150 so C
I am confused about this question
Answer:
X = 5
Step-by-step explanation:
When the line is going vertically down, the x-intercept is always the equation of the line.
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-intercept (the value of y when the line passes through the y-axis)However, for vertical line equations, we write them a little differently:
[tex]x=d[/tex]
d = the x-intercept (the value of x when the line passes through the x-axis)We write equations for vertical lines like this because they might not always have a y-intercept.
Solving the QuestionWe're given:
Line L passes through the x-axis when x = 5This means that the x-intercept of the line is 5. Plug this into [tex]x=d[/tex]:
[tex]x=d[/tex]
[tex]x=5[/tex]
Answer[tex]x=5[/tex]
Find the length of the unknown side of the right triangle with sides a, b, and c, where c is the hypotenuse. Give an exact answer and a two-decimal place
approximation
a=6, C =18
The exact apswer is:
The two decimal place approximation is (Round two decimal places if needed):
Answer:
16.97
Step-by-step explanation:
Therefore b= 16.97
How much does Craig earn each month,in dollars?
Answer:
Craig must be rich LOL cuz It says its 1/20 of his paycheck each month so u have to multiply by 20
Step-by-step explanation:
720*20 = 14440
plx help me plx ? can u tell me the answer of this algebra equation 2(x+3)+3(×-4)
Step-by-step explanation:
[tex] = 2(x + 3) + 3(x - 4)[/tex]
[tex] = 2x + 6 + 3x - 12[/tex]
[tex] = 2x + 3x + 6 - 12[/tex]
[tex] = 5x - 6[/tex]
...
The owner of a sports complex wants to carpet a hallway connecting two buildings. The carpet costs $2.50 per square foot. How much does it cost to carpet the hallway?
If the area of the carpet will be 301 square feet. Then the cost of the carpet will be $ 752.5.
What is a trapezium?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.
The owner of a sports complex wants to carpet a hallway connecting two buildings.
The diagram is given below.
The carpet costs $2.50 per square foot.
The area of the carpet will be given by the area of the trapezium.
Area = 1/2 (24 + 28) x 7 + 1/2 (15 + 19) x 7
Area = 0.5 x 52 x 7 + 0.5 x 34 x 7
Area = 182 + 119
Area = 301 square feet
Then the cost of the carpet will be
Cost of carpet = $ 2.5 x 301
Cost of carpet = $752.5
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Find the distance between y=7 and y=-1
Answer:
Er I think it’s 8 but not sure
Step-by-step explanation:
Find the arc length and sectors perimeter of an 85 degree arc of a circle with a radius of 4ft
Find the height of the triangle. Round the answer to one decimal place.
Answer:
x = 6.4
Step-by-step explanation:
Taking the sin ratio of the angle :
sin 40° = x / 100.64 = x / 10x = 0.64 × 10x = 6.4Two friends each had an auto loan of $20,000. One was repaid at
8% in 3 years at about $625 per month, and the other at 8% in 5
Years at about $405 per month. The total of the payments for the 5-year loan is how much more than the total for the 3-year loan?
Answer:
1,800 more
Step-by-step explanation:
12 × 3 = 36 months
$625 × 36 = $22,500
12 × 5 = 60 months
$405 × 60 = $24,300
$24,300 - $22,500 = $1,800
the interest is paid per month, so we first need to convert the years to months. after that we calculate the total amount of money paid over the specified years. and then we subtract the one from the other to get the difference.
A trampoline park charges $2 plus an hourly rate for each hour. The sign to the
ght gives the prices for up to 3 hours of parking. Which linear equation
epresents the given information where C is the total cost and h is the number of
hours spent at the park?
The linear function that gives the cost of spending h hours at the park is given by:
C(h) = 2 + mh.
In which m is the hourly rate.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The fixed rate is the y-intercept, hence, the linear function that gives the cost of spending h hours at the park is given by:
C(h) = 2 + mh.
In which m is the hourly rate.
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I need some help answering this
Answer:
d
Step-by-step explanation:
sin angle (60) would have been equal to 0.5 or a 1/2
and cos angle(60) would have been equal to 0.86 then you'll say square by 3 over 2
Let me know if this answer can work
Best of Luck
х
The correct order for saving should be____
A. emergency fund, retirement, pay off credit debt
B. retirement, emergency fund, pay off credit debt
C. pay off credit debt, emergency fund, retirement
D. pay off credit debt, retirement, emergency fund
Answer:
Step-by-step explanation: C. pay off credit debt, emergency fund, retirement
Select the correct answer from each drop-down menu.
complete the statements about this function
f(x)= -2\x+1| + 2.
the vertex of the function is la
on the interval (-1,0), the function is
as x approaches positive infinity, the function approaches
infinity
The vertex of the function is a maximum and on the interval (-1,0), the function approaches negative infinity as x approaches positive infinity
How to interpret the function?The function is given as:
f(x)= -2|x+1| + 2
The above function is an absolute value function
An absolute value function is represented as:
y = a|x - h| + k
Where the vertex is:
Vertex = (h, k)
When a is less than 0, then the vertex is at maximum
By comparison, we have:
a = -2
(h,k) = (-1, 2)
-2 is less than 0
Hence, the vertex of the function is a maximum and on the interval (-1,0), the function approaches negative infinity as x approaches positive infinity
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i dont know how to do this one
Answer:
[tex]2\sqrt{34}[/tex]
Step-by-step explanation:
We can add a line to create a triangle and a rectangle. The triangle will have side lengths 10 and 6. Furthermore, it will be a right triangle, meaning we can apply the Pythagorean Theorem to find x, the hypotenuse.
[tex]6^2 + 10^2 = x^2\\x = \sqrt{6^2 + 10^2}\\ = \sqrt{136} \\= 2\sqrt34}[/tex]
hope this helped! :)
Which is the
slope-intercept form of the equation of the line with a slope
of -4 that passes through the point (-3, 1)?
Oy=-4x-11
Oy - 1 = -4(x + 3)
Oy+1 = 4(x-3)
y = 4x + 11
Answer:
y = -4x - 11
Step-by-step explanation:
This equation is in slope-intercept form.
y = mx + b
Slope-intercept form is a fill-in-the-blank shortcut to write an equation of a line. The m is the slope right beside the x (b is the y-intercept, but we don't even need that for this question) Only the first and last answers are in the correct format and only the first one has the right slope. You can also check it by putting (-3,1) into the equation. It checks! Graphing is a good check also.
Fine the length of the third side. If necessary, write in simplest radical form
Answer:
7.2
Step-by-step explanation:
(6)^2 + (4)^2
36 + 16
52
square root of 52 = 7.2
Which quadratic model best represents the data? f(x) = –16x2 99x 6 f(x) = –36x2 37x 5 f(x) = 36x2 37x 5 f(x) = 16x2 99x 6
The quadratic model that represents the data will be A. -16x² - 99x + 6.
What is a quadratic model?It should be noted that a quadratic model simply means a model that is represented by a quadratic equation in the form of y = ax² + bx + c.
From the complete question, the quadratic model that represents the data will be -16x² - 99x + 6.
In conclusion, the correct option is A.
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Answer:
Step-by-step explanation:
If u have 0,-1,1.7, 1/2 do it from least to greatest
Answer:
-1,0,1/2,1.7
Step-by-step explanation:
Answer:
-1, 0, 1/2, 1.7
Step-by-step explanation:
hope this helps
have a good day
What is the probability of rolling an odd number or rolling a 2 on a six sided die? *
1/6
5/6
1/3
1/2
2/3
Guaranteed
Answer: 2/3
Step-by-step explanation:
First, find the probability of rolling an odd number. The odd numbers on a 6-sided die are 1, 3, and 5. This is a probability of 3/6.
Now, find the probability of rolling a 2. There's only one 2 on a die, so the probability is 1/6.
Next, add these together. 3/6 + 1/6 = 4/6. This can be reduced by dividing both the numerator and denominator by 2. This results in a final probability of 2/3.
