Answer:
x²/4 + y²/16 = 1
Step-by-step explanation:
Foci on the y axis: major axis parallel to y axis
x²/b² + y²/a² = 1
x²/4 + y²/16 = 1
The required equation of an ellipse is given by x²/4 + y²/16 = 1
Given that,
Length of the major axis: 4 Length of the minor axis: 2 Foci are on the y-axis with center (0,0), the equation of the ellipse is to be determined.0
Ellipse is defined as the cross-section of the cone when cutting it with a plane parallel to its base.
Here,
Standard equation of the ellipse with origin as the center,
x²/a² + y²/b² = 1
where a and b are the minor and major axis of the ellipse.
From the given, we have a = 2 and b = 4
So the equation of the ellipse,
x²/4 + y²/16 = 1
Thus, the required equation of an ellipse is given by x²/4 + y²/16 = 1.
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Sand for use on icy roads is stored in a conical pile 14.2 m high and with a base diameter of 34.4 m calculate the volume of the pile if one sander can take 6.9 m of sand, how many sanders can be filled from the pile
Answer:
1. The volume of the pile is 4,399.7719 m^3
2. The number of sanders to be filled from a pile is 638
Step-by-step explanation:
Here, we firstly would calculate the volume of the pile
Mathematically, that will be;
V = 1/3 * pi * r^2 * h
from the question, h = 14.2
Mathematically, r = d/2
r = 34.4/2 = 17.2 m
So the volume will be:
V = 1/3 * 3.142 * 17.2^2 * 14.2
V = 4,399.7719 m^3
To find the number of sanders to be filled,
we simply divide the volume obtained by the volume a sander can take
That will be;
4,399.7719/6.9
= 637.6 which is 638
Work backwards using the Distributive Property.
8(2) + 6(2) =
O 6(8+2)
O 8(2 +6)
O (8+6)2
O 2(6+2)
Solve for u.
Simplify your answer as much as possible.
?
Answer:
The value of u is 5.2
Step-by-step explanation:
.msd
Evaluate
Check all that apply.
2
5
O The exponent is
O The expanded form is
The expanded form is 2x2x2
5
6
15
8
125
Answer:
a b and e
Step-by-step explanation:
hope this helps
Answer:
it b and e
Step-by-step explanation:
rrrrrrrrrrrrrrr
answer asap pls no trolls!
Answer:
<d<e<f
Step-by-step explanation:
the angle order
d is smallest angle
f is largest angle
0.05x =0.5 can someone please helppppp!!!!!!!!!!
Answer:
x equals 10
Step-by-step explanation:
you are moving the 5 from the hundredth value to the tenth, meaning it is becoming a higher number. for this one, just multiply by 10.
[tex]\frac{1}{2} x \frac{3}{4}[/tex]
tan²Ф+sec²Ф=3
can someone solve this by finding all answers as the nearest whole degree
Recall that
tan²(x) + 1 = sec²(x)
for all x ≠ (2n + 1) 90°, where n is any integer. (That is, whenever x isn't an angle that is an odd multiple of 90°.)
Then
tan²(Φ) + sec²(Φ) = 3
tan²(Φ) + (tan²(Φ) + 1) = 3
2 tan²(Φ) + 1 = 3
2 tan²(Φ) = 2
tan²(Φ) = 1
tan(Φ) = ±√1
tan(Φ) = 1 or tan(Φ) = -1
Φ = tan⁻¹(1) + n 180° or Φ = tan⁻¹(-1) + n 180°
Φ = 45° + n 180° or Φ = -45° + n 180°
The first family of solution is the set of angles
{…, -315°, -135°, 45°, 225°, 405°, …}
and the second family is the set
{…, -405°, -225°, -45°, 135°, 315°, …}
(showing the solutions for n = -2 to n = 2)
You can condense the solution set into one family by noticing each angle is 45° plus some multiple of 90°, so that
Φ = 45° + n 90°
If you're looking for solutions in a given range, such as 0 ≤ Φ < 360°, then
Φ = 45°, 135°, 225° or 315°
What is the radical form of the expression 4 3/2
[tex]\sqrt{}4^{3}[/tex]
Answer:
The radical form of the expression is, 8
please help! which expression is equivalent to (-√-1)?
A: i^31
B: i^29
C: i^24
D: i^18
Answer:
Here Is Your Answer i^31
A store pays $13 for a bicycle helmet and marks up the price by 40% what is the amount of the mark-up?
Answer:
Step-by-step explanation:
the amount of mark up is
13*(40/100)=5.20
-) Write 32 + 24 as a product of two factors using the GCF
and the distributive property.
32 + 24
?
+
?
Answer:
8 (4+3)
Step-by-step explanation:
32 + 24 as a product of two factors using the GCF is 8(4 + 3).
Greatest common factor (GCF)?The greatest common factor (GCF) of two number is the largest number which can divide both the numbers completely.
Given,
The expression is 32 + 24 .
The greatest common factor of 24 and 32 can be found using the following method.
Common factors of 24 and 32 are:
2, 4, and 8
Out of all the common factors 8 is the largest number.
Therefore greatest common factor of 24 and 32 is equal to 8.
Taking the GCF out we get:
8(3 + 4)
Hence, 32 + 24 as a product of two factors using the GCF is 8(4 + 3).
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Hw help ASAPPP
+10PTS
Adam had some paper with which to make
note cards. On his way to his room he found two more pieces to use. In his room he cut each piece of paper in half. When
he was done he had 18 half-pieces of paper. With how many sheets of paper did he start?
Answer:
9
Step-by-step explanation:
18 / 2 = 9
A restaurant customer left $1.80 as a tip. The tax was 5% and the tip was 20% of the after tax cost. Which information is not needed to compute the bill after tax and tip?
Answer:
it's b
Step-by-step explanation:
Can sum one help pls I don’t understand
Where is the picture I don't see it
What is the equation of the line that has a slope of 1/3 and goes through the point (6, -2)?
Answer:
y=1/3x-4
Step-by-step explanation:
plug this equation into Desmos, a graphing calculator site, and the point and you can see it goes right through it! i hope this helped!
Substitute x=3y+1 into the expression-x -7 and simplify
Answer:
Step-by-step explanation:
x-7
3y+1-7
3y-6
Which of the following expressions represents five less than three times the number M
Answer:
Which of the following expressions represents five less than three times the number M
where are option ?
Answer:
3M-5
Step-by-step explanation:
You subtract the 5 from 3M and you have to make it 3 times M so you have the 3M.
PLEASE HELP!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!!
Answer:
25 units should be right
Step-by-step explanation:
prove me wrong
Please help ASAP!!!!
Answer:
E. All real values of x
Step-by-step explanation:
If you were to graph this function, it would look like a diagonal line going on seemingly forever. Therefore, the domain of h would be all values of x.
Simplify or solve the problems
1) 14a+2a=
2) 4x - 7 - 3 =0
3) 6x + 6 - =o
pls help due in 2 mins
Answer:
Good luck
Step-by-step explanation:
Answer:
272 is the correct answer
Step-by-step explanation:
I found the answer by multiplying 16 to 17 because 7 + 7 is 14 then add the 3 it is 17!
Hope this Helps! :)
The starting annual salary for an office worker at a company is $29,000. If the company
awards an annual increase of 6.2%, which graph models this situation after the office worker
receives x annual increases?
Office Worker's Salary
Answer:
On my screen the answer would be A
Step-by-step explanation:
but it could be different for u but I found the answer on Quizizz picture down below
The graph models this situation after the office worker receives x annual increases is to be considered as an option A.
Calculation of the graph model;Since
The starting annual salary for an office worker at a company is $29,000. If the company awards an annual increase of 6.2%.
So, based on the given graph we can say that The graph models this situation after the office worker receives x annual increases is to be considered as an option A.
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Complete the calculations so that each shows the correct sum. (WILL MARK THE BRAINLIEST!!!)
Answer: a. 2.964 b. .262
Answer:
2.964
Step-by-step explanation:
Hope this helps!
At a swimming race, 3 out of 10 swimmers won a ribbon. What percent of the swimmers won a ribbon?
Answer:
30% of the swimmers won a ribbion
and 70% didnt
Step-by-step explanation:
How many 5/7 cups servings are in a 5 cup container of food?
Answer:
7 servings of a 5/7 cup = 5 cups
Write equation of a line in point slope form that passes through (3,8) and has a slope of
5?
Answer:
y = 5x - 7
Step-by-step explanation:
(3 , 8) ; slope(m) = 5
Equation of the line: y - y₁ = m( x- x₁)
y - 8 = 5(x - 3)
y -8 = 5x - 5*3
y-8 = 5x - 15
y = 5x - 15 +8
y = 5x - 7
The school store sells 4 pencils for $0.50. At this rate, what is the cost in dollars) of 10 pencils?
Answer:
1.25
Step-by-step explanation:
10/4=2.5
2.5*0.5
Answer:
4 pencils = $0.50, divide 0.50 by 4, 1 pencil is $0.125. multiply that by 10, and 10 pencils is $1.25
Step-by-step explanation:
Help This is a Test after I submit it I WONT BE ABLE TO CHANGE MY ANSWERS PLEASE make sure your answers are correct
Answer:
No.of pens the store has to sell is 3480 pens
Step-by-step explanation:
Multiply the boxes and the no.of pens in each box!
it's simple!