Answer:
The focus of the ellipse are;
(-12·√(10), -8) and (12·√(10), -8)
Step-by-step explanation:
The given equation for the ellipse is presented as follows;
[tex]\dfrac{x^2}{46} + \dfrac{(y + 8)^2}{26} = 1[/tex]
From the general equation of the ellipse, we have;
[tex]\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]
The focus of the ellipse are, (h - c₁, k) and (h + c₁, k)
By comparison, we get;
h = 0, k = -8, a = 46, b = 26
We have;
c² = a² - b²
c² = 46² - 26² = 1440
c = 12·√(10)
The focus of the ellipse are therefore;
(0 - 12·√(10), -8) = (-12·√(10), -8), and (0 + 12·√(10), -8) = (12·√(10), -8).
A bag contains six red marbles three green marbles and four blue marbles if we choose a marble then another marble without putting the first one back what is the probability that the first marble is blue and the second marble is red
Answer:
2/13
Explanation:
The bag has 6 red, 3 green, 4 blue.
Total marbles = 13
Probability of getting blue the first time would be 4/13 because 4 of the 13 total marbles are blue
Because you're not putting back the first marble, the total would go down to 12, so the probability of getting red the second time would be 6/12 or 1/2
The probability that the first marble is blue and the second marble is red = (4/13)(6/12) = 2/13
need help with solving perimeter and area
What is the range of possible sizes for side x
Answer:
0.5 < x < 16.5
Step-by-step explanation:
For a triangle (by the triangular inequality theorem), we know that the sum of any two sides must be larger than the other side.
When we have a triangle and we know two sides, let's define the measures of these sides as S1 and S2. (such that S2 > S1)
By the first property, we will have that S1 + S2 > S3
Where S3 is the third side, the one that we do not know.
But there is also a lower restriction, given by:
S2 - S1 < S3 < S1 + S2
This is because we also must have:
S1 + S3 > S2
and
S2 + S3 > S1
We can rewrite both of these to get:
S2 - S1 < S3
S1 - S2 < S3
Because S2 > S1, the first inequality is more restrictive, so we need to use that one.
Then we get the inequality:
S2 - S1 < S3 < S1 + S2
Ok, in this case, the shorter side is 8.0 then:
S1 = 8.0
And the longer side is 8.5, then:
S2 = 8.5
And the third side is x, S3 = x
Replacing those in our inequality, we get:
8.5 - 8.0 < x < 8.5 + 8.0
0.5 < x < 16.5
This is the range of possible sizes for side x.
how to find the following on this tangent equation
Answer:
17y
Step-by-step explanation:
Martha Washington Elementary School has a right triangular playground. There are swings at point A, a slide at point B, and a jungle gym at point C.
It is 60 feet between the slide and the jungle gym. Find the distance between the jungle gym and the swings.
60+90=180
=150
180-150
= -30
brainyest pls
The distance of the jungle gym to swing is 120 feet.
We have given that the diagram
we have to find the distance between jungle gym and swings is,
What is the formula for 30-60-90 theorem?
suppose that x is shorter length then the hypotenuse is 2x and [tex]x\sqrt{3}[/tex]
is the longer length
By using the Pythagoras formula we have
The length of CA is,
[tex]CA=60(2)=120[/tex]
Therefore the distance of the jungle gym to swing is 120 feet.
To learn more about the right angle triangle visit:
https://brainly.com/question/343682
HWLP PLLLLLLLLLLLLLZZZZZZZZZZZZZZZZZ
Answer:
7 hours
Step-by-step explanation:
Answer:
7 hours
Step-by-step explanation:
4x + 32 =60 -32 -32______________4x/4=28/4divide this (28/4) and your answer should be 7 hoursFind the missing side.
Need help please. Need explanation, please.
Answer:
x ≈ 12.22
Step-by-step explanation:
SOH CAH TOA(Tangent = opposite side/adjacent side)
tan (48°) = x/11
=> x = tan (48°) × 11
=> x ≈ 12.22
in the diagram below, the measure of angle W is 5 times as large as the measure of angle X. what is the measure of angle W?
Answer:
D. 150°
Step-by-step explanation:
∠X and ∠W are supplementary
Let a = m∠X
Then 5a = m∠W
m∠X + m∠W = 180
a + 5a = 180
6a = 180
a = 30
m∠W = 5a = 5(30) = 150°
Which of the following is a true statement about functions?
O A. If A and B are matrices, then AB = BA.
B. If fand g are functions, then (f+g)(x) = (8+)(x).
C. If fand g are functions, then (fºg)() = (8 ©f(x).
O D. If fis a function, then Ma+h) =f(a)+fh).
Solving a word problem with two unknowns using a linear equation
A total of 629 tickets were sold for the school play. They were either adult tickets or student tickets. There were 71 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
350
Step-by-step explanation:
629= A+S
A-71 = S
629 = A+A-71
700=2A
A=350
Pls help, 45 points!!!
Answer:
C
Step-by-step explanation:
Answer:
Red is the correct answer
Step-by-step explanation:
Tell me the answer please. Give me a short answer and a step-by-step explanation.
Answer:
C
Step-by-step explanation:
we should set the equations based on what we know using y=mx+b
in the first set, we have m=5 and the +b as 100. This gives y=5x+100
in the second, we m=20 and the +b of 10. This gives y=20x+10
I belive C would match this. Hope this helps!
Answer:
y=10x+20
y=5x+100
Step-by-step explanation:
What’s the answer???? Need help y’all!
Answer:
D. HFE is congruent to FHG
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Congruency.
Since here the congruency satisfied is SAS (side-angle-side)
hence the correct option is
D.) ∆HFE =~ ∆FHG
sumbody help please . no links or files
Answer:
144
Step-by-step explanation:
I will explain later kinda busy
6x4x12=288
288/2 (because it is a triangle and triangles are half of squares)
3 tons and 700 pounds = how many pounds
Answer:
1 ton=2,000 pounds so 6,700 pounds
Step-by-step explanation:
The perimeter of a chalkboard is 14 feet. The board is 4 feet long. How tall is it?
feet
Answer:
4 + 4=8
14-8= 6
6/2=3
3 is the answer
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
3 feet
Step-by-step explanation:
l = length
w = width
p = l + l + w + w
l = 4
w = x
2l + 2w = 14
2(4) + 2w = 14
8 + 2w = 14
2w = 6
w = 3
Please help ASAPppppppp
Answer:
206 miles more
Step-by-step explanation:
Divide 2240 and 28 and you get 280 then divide 2368 and 32 and subtract 280- 74
A dilation of (x, y) → (0.75x, 0.75y) is applied to a triangle. The resulting image coordinates are at (−3, −3), (3, 3), and (−2, −3). Which of the following could be a coordinate of the original figure?
(−1,−1)
(−4,−4)
(−1.5,−2.25)
(2.7,4)
Answer:
the third one
Step-by-step explanation:
3
Answer:
The third one
Step-by-step explanation:
3
What is the volume of a cylinder that has the following measurements?
area of each base: 50.24 ft2
area of lateral surface: 75.36 ft2
height of cylinder: 3 ft
128.6 ft 3
226.08 ft 3
150.72 ft 3
175.84 ft 3
bad answers will get banned good answers will get brainlist please
Volume of a cylinder = area of base x height:
50.24 x 3 = 150.72 ft^3
Answer:
150 ft³
Step-by-step explanation:
base = circle..................base area = area of the circle = πr².
to get the radius of the circle, we substitute from the formula.
let π be 3.142
3.142 × r² = 50.24.............................. 3.142r² = 50.24
divide both sides by 3.142 to get r² = 15.99....................find the square root of 15.99 to get r = 3.999.
VOLUME = πr²h
= 3.142 × 3.999 ×3.999 × 3 = 150.72 ft³
This is another way of doing it.
Please help and please don’t give me the bit link it doesn’t work for me
Answer:
C) There is no clear relationship between period and exam scores.
[tex]\mathtt{: )}[/tex]
Carlos is buying a shirt that costs $20 the sales tax is 9% what is the total cost of the shirt including tax
Answer:
$21.8
Step-by-step explanation:
Carlos is buying a shirt that costs $20 the sales tax is 9% what is the total
Given data
Cost= $20
Tax= 9%
Amount of tax=
9/100*20
0.09*20
1.8
Total amount
=1.8+20
=$21.8
simplify the expression– 6m–3m2+ – 7m+ – 6m2+ – m–9
Answer:
-14m -9m2 -9
Step-by-step explanation:
-6m -m -7m -3m2 -6m2 -9
I rlly need help with this
You need to give more info so like show more of the question
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
108 mm^3
Step-by-step explanation:
the formula for a right rectangular pyramid is lwh/3, so if you multiply 6, 6, and 9, you'll get 324
324/3=108
I need help please!!
Answer:
12, 2 and 10
Step-by-step explanation:
(1)
b - 4 = 8 ( add 4 to both sides )
b = 12
(2)
y + 7 = 9 ( subtract 7 from both sides )
y = 2
(3)
16 = n + 6 ( subtract 6 from both sides )
10 = n
Out of 400 people sampled, 368 had kids. Based on this, construct a 95% confidence interval for the true
population proportion of people with kids.
Give your answers as decimals, to three places
Answer:8.7
Step-by-step explanation:
4.2 minus the product of 12 and a number
Answer:
Four minus the product of one and a number x is 4−(1×x) .
Step-by-step explanation:
Given : Expression 'Four minus the product of one and a number x'.
To find : Write the expression in algebraic form ?
Solution :
Writing the expression as,
The product of one and a number x is written as 1×x .
Four minus the product of one and a number x is written as 4− (1×x)
Re-write the expression in simplest form is 4−x .
Therefore, Four minus the product of one and a number x is 4−(1×x) .
Help please I don’t know what to do
Answer:
B
Step-by-step explanation:
Combine Like terms
Answer:
The answer is letter B
Step-by-step explanation
Simply combine like terms in which
-2x^2 + 7x^2 = 5x^2
8x + 4x = 12x
-9 + 2 = 7
So we come up with the answer of the option letter B
7)
A rectangular container is 40 cm by 30 cm by 25 cm. It is filled with
3
water up to 5
of its height. Half of the water is then poured out. How
much water is left in the container? Give your answer in litres.
Answer: 9 L
Step-by-step explanation:
Given
The dimension of the rectangular container is [tex]40\times 30\times 25\ cm^3[/tex]
It is filled with [tex]\frac{3}{5}[/tex] of the height
Water present in the container
[tex]\Rightarrow 40\times 30\times 25\times \dfrac{3}{5}\\\\\Rightarrow 18000\ cm^3[/tex]
Also, [tex]1\ L=1000\ cm^3[/tex]
[tex]\therefore 18,000\ cm^3=18\ L[/tex]
Now, half of the water is poured out
So, half is left
[tex]\Rightarrow \dfrac{18}{2}=9\ L[/tex]
Thus, 9 L of water is left in the container
Solve for x
1
x
−
7
=
4
Give your answer as an improper fraction in its simplest form
Answer:
11
Step-by-step explanation:
1 x − 7 = 4
x=4+7=11