Which conic section is shown in the image?
A.
circle
B.
ellipse
C.
parabola
D.
hyperbola
Answer:
D. Hyperbola
Step-by-step explanation:
symmetrical open curve formed by the intersection of a circular cone with a plane at a smaller angle with its axis than the side of the cone.
The conic section in the given figure is Hyperbola. Therefore, option D is the correct answer.
In the given figure conic section is given.
What is conic section?A figure formed by the intersection of a plane and a circular cone. Depending on the angle of the plane with respect to the cone, a conic section may be a circle, an ellipse, a parabola, or a hyperbola.
The given figure an open curve with two branches, the intersection of a plane with both halves of a double cone. The plane does not have to be parallel to the axis of the cone; the hyperbola will be symmetrical in any case.
The conic section in the given figure is Hyperbola. Therefore, option D is the correct answer.
To learn more about conic section visit:
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Keira is reviewing her checking account statement from the bank. Her starting balance and transactions are listed.
-Starting balance of $49.15.
-Spent $16.23 at Wal Mart.
-Deposit from birthday check of $35.00. -Dinner at Chick-fil-A for $8.34.
-Withdrawal cash at the ATM of $20.
If reconciled, her bank statement should have a balance of
$9.58
$39.58
$79.58
$72.04
Answer:
39.58
Step-by-step explanation:
49.15-16.23=32.92
32.92+35=67.92
67.92-8.34=59.58
59.58-20=39.58
Her balance is $39.58
Hope this helps
Answer:
49.15 - 16.23 + 35.00 - 8.34 - 20 = 39.58
Simplify. (Assume all variables represent positive real numbers). Leave answer in radical form.
[tex]\sqrt128a^{6}b^{13}[/tex]
Answer:
[tex]\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{128a^{6}b^{13}}[/tex]
Required
Solve
[tex]\sqrt{128a^{6}b^{13}}[/tex]
The expression can be split to:
[tex]\sqrt{128a^{6}b^{13}} = \sqrt{128} * \sqrt{a^{6}} * \sqrt{b^{13}}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64 * 2} * \sqrt{a^{6}} * \sqrt{b^{13}}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{13}}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12 + 1}}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12}} * \sqrt{b}[/tex]
So, we have:
[tex]\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{6/2} * b^{12/2} * \sqrt{b}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{3} * b^{6} * \sqrt{b}[/tex]
Rewrite as:
[tex]\sqrt{128a^{6}b^{13}} = 8 * a^{3} * b^{6}* \sqrt{2} * \sqrt{b}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6}* \sqrt{2b}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}[/tex]
help again . ill give you 15 points.
A water tank holds 216 gallons but is leaking at a rate of 3 gallons per week. A second water tank holds 324 gallons but is leaking at a rate of 5 gallons per week. After how many weeks will the amount of water in the two tanks be the same?
Answer:
54
Step-by-step explanation:
216 - 3x = 324 -5x
subtract 216 from both sides
add 5x to both sides
divide both sides by 2x.
please please i need help i will mark u brill
Answer:
Step-by-step explanation:
25 - (9 - y) = 20.7
Putting value of y = 4.3 in equation
25 - (9 - 4.3) = 20.7
25 - 4.7 = 20.7
20.3 = 20.7
Bringing like terms on one side
20.7 - 20.3 = 0.4
Answer; in this question we should have to put the value of y=4.3 and then we will get the answer.
Step-by-step explanation:
25-(9-y)=20.7
25-(9-4.3)=20.7
25-(4.7)=20.7
20.3=20.7
Bring the term on one side
20.7-20.3=0.4 Answer
I need them all in about five minutes, please help me no BS I’m giving you 50 points.
Answer: 1 is 5.7
2 is 21.75
3 is 8.8
Step-by-step explanation:
here ya go
A store sells shirts.
• The store has 72 shirts.
• 25% of the shirts are green.
of the green shirts have stripes.
How many shirts are green and have stripes?
Answer:
54are green and have strips
Step-by-step explanation:
72=100% of the total number of shirts
25%=18 shirts
so that means 18 shirts are green
72-18=54
so 54 striped green shirts.
What is the mass of a box that weighs 1.4 kilograms? (1,000 grams = 1 kilogram)
A. 14,000 g
B. 140 g
C. 1.4 g
D. 1,400 g
Answer:
D
Step-by-step explanation:
Answer:
it is D im 99% sure
Step-by-step explanation:
dddddddd
CosB = 13/33 for which of the following
triangles?
Answer:
A
Step-by-step explanation:
they tell me what came out
The triangle for which Cos B = 13/33 is triangle D.
The given triangle is a right triangle. In order to use Cos B, the value of the adjacent side and the hypotenuse has to be known. The adjacent side is the side that is adjacent to angle B. The hypotenuse is the longest side of the triangle.
Triangle A: cos b = adjacent / hypotenuse
hypotenuse = √13² + 33² = 35.5
Cos B = 13 / 35.5
Triangle B: cos b = adjacent / hypotenuse
hypotenuse = √13² + 33² = 35.5
Cos B = 33 / 35.5
Triangle C: cos b = adjacent / hypotenuse
Adjacent = √33² - 13² = 30.3
Cos B = 30.3 / 33
Triangle D: cos b = adjacent / hypotenuse = 13/33
To learn more about triangles, please check: https://brainly.com/question/7894175
Find the standard deviation. Round to the nearest tenth.
251, 180, 281, 234, 295, 285, 194, 272, 291
O A. 42.6
O B. 31.7
O C. 45.6
O D. 40.2
Find the arc length????????
Answer:
don't believe the other guy he is a scaming bot don't click the link
Find the area of this circle. Use 3 for .
A = 7r2
10 ft
[?] ft2
PLEASE HELP
Answer:
7.0686
your welcome :D.
A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 14cm. A stone is placed in the water and the water rises 3.4 cm. Find the volume of the stone.
Please and thank you!
Answer:
1356cm3
Step-by-step explanation:
when the stone is dropped in to the water the new height is 17.4cm(14+3.4)
find the volume when the height is 14cm and when the height is 17.4cm
24*14*17.4=4716
24*14*14=3360
then subtract the two volumes
4716-3360=1356cm3
Answer:
816 cm^3
Step-by-step explanation:
First you want to find the volume of the container with the stone, and then without the stone.
The formula for finding the volume of a rectangular container is V= l x w x h
We substitue in:
With stone:
V= 24cm x 10 cm x (14+3.4 cm)
V= 4,176 cm^3
Without stone:
V= 24 cm x 10 cm x 14 cm
V= 3,360 cm^3
Then, you want to subtract the two volumes to get the stone by itself.
4,176 - 3,360= 816 cm^3
Hope this helps!
PS- I think the answer above me got their numbers mixed up, but they had the right idea.
Which expression is equivalent to y^4?
A. 4•y
B. y•y^3
C. 3y+y
D. y^2+y^2
Answer:
B: y * [tex]y^{3}[/tex]
Step-by-step explanation:
[tex]y^{4}[/tex]= y*y*y*y
which experimental probability from coach nelson's experiment equals the theorectical probability? what is this probability?
Answer:
QUESTION:
which experimental probability from coach nelson's experiment equals the theorectical probability? what is this probability?
ANSWER:
This will explain everything to you.
https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-theoretical-and-experimental-probability/v/comparing-theoretical-to-experimental-probabilites
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
Aaron has a pencil that is
foot long.
foot long. He has a pen that
is 0.7 foot long. Measured in
feet, how much longer is Aaron's
pencil than pen?
Answer: 0.1 ft longer
4/5 = 0.8
0.8 - 0.7 = 0.1
Polygon ABCDE has a vertex at A(-4, 2). If the polygon is translated 4 units right and 2 units up, what are the coordinates of A'?
Answer:
(0,4)
Step-by-step explanation:
Add 4 to x and add 2 to y.
Using the graph, determine the coordinates of the vertex of the parabola.
which number best represents the probability that an event is unlikely to occur?
A: 1.25
B: 0.50
C: 0.97
D: 0.05
Answer:
D: 0.05
Step-by-step explanation:
Since the question says UNLIKELY, it would be the smallest number, which is 0.05 in this case.
The recipe makes 1 serving of punch. Sam used 2 cups of pineapple juice to make her punch, how many servings did she make? Use the equation 2/3m = 2 to find the number of servings.
2/3 cup = Pineapple juice
1/2 cup = orange juice
3/4 cup = Lemon/lime juice
1/3 cup = Ginger ale
Answer: 3 servings
Step-by-step explanation:
Sam used 2 cups of pineapple juice, one serving just needs 2/3 cups of pineapple. 2 divided by 2/3 equals 3 so, Sam made three servings. (in this case 1/2 cup orange juice 3/4 cup Lemon/lime juice 1/3 cup Ginger ale does not matter, you only need to know the pineapple juice.
The heights of the pine trees in a certain forest are normally distributed, with a mean of 86 feet and a standard deviation of 8 feet.
Approximately what percentage of the pine trees in this forest are taller than 100 feet?
Answer:
4%
Step-by-step explanation:
PLATO users
4% of the pine trees in this forest are taller than 100 feet.
The heights of the pine trees in a certain forest are normally distributed, with a mean of 86 feet and a standard deviation of 8 feet. Approximately what percentage of the pine trees in this forest are taller than 100 feet to be determined.
The statistic is the study of mathematics that deals with relations between comprehensive data.
raw score x = 100 , mean = 86 standard deviation = 8,
The probability of pine trees in the forest being taller than 100 ft is given as,
p = p( x > 100)
[tex]P =P[z = \frac{X - \mu}{\sigma}][/tex]
P = z [ (100-86)/8 ]
P = z [1.5]
P = 0.04004
P = 4.04%
Thus, 4% of the pine trees in this forest are taller than 100 feet.
Learn more about Statistics here:
https://brainly.com/question/23091366
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Sean Wrona is the fastest typist in the world and can type an average of about 500 words in three minutes.
What is Sean’s average typing speed in words per minute, WPM, to the nearest whole number?
Answer:
166.67 is answer of this question
find x
help please, asap.
Answer:
X=58 degrees
Step-by-step explanation:
So We can start by finding the angle thats supplementary to 109.
Well 109 and another unknown angle (which will be Y for this scenario) would form a straight line which is 180 degrees.
109+y=180
Solve that by isolating the y and you would get 71 as the missing side.
Now we have 2 sides, 71 and 51. We’re trying to find x or the angle vertical to the thrid interior angle of the triangle.
Vertical is basically equal so we really just gotta find the third side. A triangle is equal to 180 degrees and if you add em up.
71+51+x=180
Combine like terms
122+x=180
Isolate the X
x=58
So x is 58 degrees.
Answer:
x = 180 - 51 - 71 = 58°
which statements are true about angle b in this triangle?
Answer:
b) [tex]\sin(B) = \frac{\sqrt 2}{2}[/tex]
e) [tex]\tan(B) = 1[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
The true statement about B
The given options show that we determine the correct trigonometry ratio of B.
So, we have:
[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]
This gives:
[tex]\cos(B) = \frac{a}{c}[/tex]
Where:
[tex]a = 3mm\\c = 3\sqrt 2 mm[/tex]
[tex]\cos(B) = \frac{3}{3\sqrt 2}[/tex]
3 cancels out
[tex]\cos(B) = \frac{1}{\sqrt 2}[/tex]
Rationalize
[tex]\cos(B) = \frac{1}{\sqrt 2}* \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]\cos(B) = \frac{\sqrt 2}{\sqrt 2*\sqrt 2}[/tex]
[tex]\cos(B) = \frac{\sqrt 2}{12}[/tex]
Also:
[tex]\sin(B) = \frac{Opposite}{Hypotenuse}[/tex]
This gives:
[tex]\sin(B) = \frac{b}{c}[/tex]
Where:
[tex]b = 3mm\\c = 3\sqrt 2 mm[/tex]
[tex]\sin(B) = \frac{3}{3\sqrt 2}[/tex]
3 cancels out
[tex]\sin(B) = \frac{1}{\sqrt 2}[/tex]
Rationalize
[tex]\sin(B) = \frac{1}{\sqrt 2}* \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]\sin(B) = \frac{\sqrt 2}{\sqrt 2 * \sqrt 2 }[/tex]
[tex]\sin(B) = \frac{\sqrt 2}{2}[/tex]
Lastly:
[tex]\tan(B) = \frac{\sin(B)}{\cos(B)}[/tex]
This gives:
[tex]\tan(B) = \frac{\sqrt{2}/2}{\sqrt{2}/2}[/tex]
[tex]\tan(B) = 1[/tex]
Hence, (b) and (e) are true
pls help me giving brainless.
Answer: about 8 dollars
Step-by-step explanation:
2*12=24
8*12=96
12*12=144
Answer:
8 dollars
Step-by-step explanation:
the math comes out to 6.5 dollars per person and 8 is the closest
11 more than a number k equals 29.
HELP ME PLSSSSSSS
Answer:
11+k=29
Step-by-step explanation:
So "more than" means addition.
let's solve this for fun
11 + k =29
k = 29-11
k= 18
Factorise 3x^2+11x-20
Answer:
( 3 x − 4 ) ( x + 5 )
Step-by-step explanation:
Answer:
(3x+4) (x-5)
Reverse Check It If You Have Doubts
The letters in VIRGINIA are each written on a separate card. Mark picks one card at random, keeps it, and then picks a second card. What is the probability that he picks an "I" and then picks a consonant?
3/14
3/16
1/4
2/7
Answer:
okay I would say 1/4
Step-by-step explanation:
the originally eight letters, and then you take one out so there's seven and then your chances of getting the I are two so that's 2/7. then there's only one consonant the R so 1/4.
help please i need it asap
Answer:
x = 5
Step-by-step explanation:
[tex]\frac{4.5}{7.5}[/tex] = [tex]\frac{3}{x}[/tex]
cross multiply
4.5x = 7.5(3)
4.5x = 22.5
divide
x = 5
