Answer: a: 5
b: 12
Step-by-step explanation:
The required value of a and b is 4 and 12 respectively.
[tex]x^2/a^2-y^2/b^2=1.[/tex]
Hyperbola is cross-section of cone that is obtained by cutting cone at certain angle with horizontal.
[tex]x^2/a^2-y^2/b^2=1.[/tex]
Since, above equation is of hyperbola.
a = semi major axis and b = semi minor axis.
From graph, values of a and b is 4 and 12 respectively.
Thus, the required value of a and b is 4 and 12 respectively.
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PLEASE HELP LAST QUESTION
Answer:green area- triangle area = 72-9 = 63
Step-by-step explanation:
Find the area of triangle ABC.
A. 24 cm
B. 32 cm2
C. 48 cm2
D. 64 cm
E. 128 cm2
I don’t need an explanation just the answer thank you c:
Answer:
24 centimetre
hope it is helpful
How many solutions does the following equation have?
5x+8-7x=-4x+15x+8−7x=−4x+1
Answer:
This has one solution
Step-by-step explanation:
5x+8-7x=-4x+1
Combine like terms
-2x+8 = -4x+1
Add 4x to each side
-2x+4x+8 = -4x+4x+1
2x+8 = 1
Subtract 8 from each side
2x+8-8=1-8
2x = -7
Divide by 2
2x/2 = -7/2
x = -7/2
Answer:
One solution
Step-by-step explanation:
did it on khan:)
How do I do this I need help
Answer:
∠1 = 117°, ∠2 = 63°
Step-by-step explanation:
∠1 = 117° , and ∠2 = 63° because 117° is supplementary to 63°
Can anyone help me please guys?
Answer:
Cost of the tires in 2008 = 23333 dollars
Step-by-step explanation:
Number of snow tires purchased are represented by,
T = [tex]\frac{500(t+20)}{(t+75)}[/tex]
Where t = duration from year 2000
Similarly, cost of the tires area represented by,
C = [tex]\frac{t+75}{1-.05t}[/tex]
Therefore, cost of T tires = C × T
= [tex]\frac{t+75}{1-.05t}[/tex] × [tex]\frac{500(t+20)}{(t+75)}[/tex]
= [tex]\frac{500(t+20)}{1-0.05t}[/tex]
Now cost of the tires in year 2008 (t = 8 years)
Total cost = [tex]\frac{500(8+20)}{(1-0.05\times 8)}[/tex]
= [tex]\frac{14000}{0.6}[/tex]
= $23333.3
≈ 23333 dollars
To solve the system of linear equations 8 x + 5 y = 18 and 6 x + y = negative 2. By using the linear combination method, Amos decided that he should first multiply the second equation by –5 and then add the two equations together to eliminate the y-terms. His calculations are as shown. 8 x + 5 y = 18. + 6 x minus 5 y = 10. 14 x = 28. StartFraction 14 x Over 14 EndFraction = StartFraction 28 Over 14 EndFraction. X = 2. 6 x + y = negative 2. 6 (2) + y = negative 2. 12 + y = negative 2. 12 + y minus 12 = negative 2 minus 12. Y = negative 14. Amos's solution is (2, –14). What did he do wrong?
Answer:
He forgot to multiply 6x by -5
Step-by-step explanation:
8x + 5y = 18
6x + y = -2
-30x - 5y = 10
Answer: C I think
Step-by-step explanation:
To measure the height of a mountain, a surveyor took two sightings, one 1000 feet farther from the mountain of the other. The first angle of elevation was 85° and the second was 83°.
What is the mountain’s height?
Answer:
Height of the mountain was 28331.8 feet.
Step-by-step explanation:
An observer took the measurements from two sights C and D.
Point D was 1000 ft away from the earlier sight point C.
Angle of elevations from points C and D were 85° and 83° respectively.
From ΔABC,
tan85 = [tex]\frac{h}{x}[/tex]
x = [tex]\frac{h}{tan85}[/tex] -----(1)
Similarly, from ΔABD,
tan83 = [tex]\frac{h}{(x+1000)}[/tex]
x + 1000 = [tex]\frac{h}{tan83}[/tex]
x = [tex]\frac{h}{tan83}-1000[/tex] -----(2)
Now we substitute the value of x from equation (1) in the equation (2)
[tex]\frac{h}{tan85}=\frac{h}{tan83}-1000[/tex]
0.122785h - 0.087488h = 1000
0.035296h = 1000
h = 28331.822 ft
h ≈ 28331.8 ft
Therefore, height of the mountain was 28331.8 feet.
What is the difference between -4 and 6?
O -10
0 -2
2
10
Answer:
10
Step-by-step explanation:
Subtract -4 from 6
6 - -4
Subtracting a negative is like adding
6 +4
10
Answer:
-10
Step-by-step explanation:
If you subtract 6-(-4) it gives you -10
Hope this helps
Find a unit rate: Joel ran 1500 meters in 5 minutes, 5 seconds.
Answer:
minutes
Step-by-step explanation:
Find the 78th term of the arithmetic sequence
14, 5, -4, ...
Answer:
-679
Step-by-step explanation:
14 + (78 - 1) × -9
= 14 + (77)-9
= 14 - 693
= -689
A ball was thrown upward into the air. The height, in feet, of the ball above the ground t seconds after being thrown can be determined by the expression -16t^2+40t+3. What is the meaning of the 3 in the expression?
Answer:
C.) The ball was thrown from a height of 3 feet
Step-by-step explanation:
In the standard form of a quadratic function, f(x) = ax² + bx + c,
c is the constant term (also known as the y-intercept of the parabola)
In this situation, the ball is thrown up into the air and the flight path will be in the shape of a parabola
The equation y = -16t² + 40t + 3 has a y-intercept of 3, meaning the flight path began at 3 feet above the ground, as you can imagine by looking at the graph of the equation, below. The y-intercept is at (0,3)
A bag contains 3 red marbles, 5 blue marbles, and 4 green marbles if three marbles are drawn out of the bag what is the exact probability that all three marbles drawn will be blue?
Answer:
3 + 5 +4 = 12
3/12
= 1/4
Step-by-step explanation:
1. add the marbles together
2. divide the number of marbles drawn out by the total number of marbles.
I honestly forgot all about these so can someone help?
Answer:
option 2 is not right angle triangles
Answer:
Option 3 is actually not a right triangle
Hope this helps :)
(Option 3 is an acute scalene triangle, the others are all right scalene)
The following points for a function are graphed in the coordinate plane: (0, 4), (1, 5), (2, 6), and (3, 7).
What function is being graphed?
y = 4x
y = 2x + 3
y = x + 4
3x + 4
Answer:
y = x + 4
Step-by-step explanation:
I have attached the work to your problem below.
Please see the attachment.
I hope this helps.
Answer:
y = x + 4
Step-by-step explanation:
I took the lesson and got it correct
Which correctly describes a cross section of the right rectangular prism if the base is a rectangle measuring 15 inches by 8 inches? Select three options..
A right rectangular prism with length 15 inches, width of 8 inches, and height of 6 inches.
A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches.
A cross section parallel to the base is a rectangle measuring 15 inches by 6 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 4 inches by 15 inches.
A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.x
This question is not complete because it lacks the diagram of the Rectangular prism.
Answer:
Attached to this diagram is the necessary diagram
• A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches.
• A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
• A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.
Step-by-step explanation:
A right rectangular prism is a prism that is 3 dimensional in shape and it has 6 rectangular faces.
From the attached diagram, we can see that their is a cross section that is parallel to the base, it has breadth of 8 inches and breathe of 15inches, therefore the option
"• A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches." is correct.
Secondly, when we look at the diagram and check the midpoints thought the 8 inches sides , the cross section perpendicular to the base is a rectangle that has a length of 6 inches and a breadth of 15 inches . Therefore the option
"• A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches." Is correct
Thirdly, by observing the attached diaiagram,
• A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches is correct.
here are six number cards
-4 -2 -1 5 6 8
arrange the cards into three pairs with the same total
Answer:
8 and -4
6 and -2
5 and -1
Step-by-step explanation: for example 6 and -2. If you add negative 2 and a positive 6 they will equal 4.
find the are of the shape below, giving your answer to 1 decimal place.
Answer:
4075 squares centimeters
Step-by-step explanation:
V=4/3pi(r^3)
V=4/3pi(9^3)
V=3,054 inches^3
PLs help I dont understand
Answer:
Step-by-step explanation:
32.5 is 1/10 of blank
Is means =. Of means multiply. So, 32.5=1/10*X
Answer:
32.5 is [tex]\frac{1}{10}[/tex] of 325
Step-by-step explanation:
325 ÷ 10 = 32.5
Triangle CDE is translated down into the right forming triangle C’D’E’. Which congruency statement is correct?
Answer:
B: DCE=D'C'E'
I hoped this helped you!
The required Triangle DCE is congruent to triangle D'C'E'. Option B is correct.
What is congruent geometry?In geometry, two figures are congruent if they have the same shape and size, and all their corresponding parts (sides, angles, and vertices) are congruent. Congruent figures can be moved, rotated, or reflected without changing their shape or size.
Here,
Triangle DCE is congruent to triangle D'C'E'.
This is because a translation is a type of transformation that preserves the shape and size of the original figure, so the two triangles are congruent with each other.
Thus, the required Triangle DCE is congruent to triangle D'C'E'. Option B is correct.
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The midpoint, M, of segment GH is M(4, -3). Endpoint G has the coordinates G(-2, 2). Calculate the coordinates of endpoint H. *
Answer:
The point M(Mx, My) is mid-point of GH with G(Gx, Gy) and H(Hx, Hy).
=> 2*Mx = Gx + Hx => 2*4 = -2 + Hx => Hx = 10
=> 2*My = Gy + Hy => 2*(-3) = 2 + Hy => Hy = -8
=> H(10, -8)
Hope this helps!
:)
The coordinate of the point H is (10, -8) if the midpoint, M, of segment GH is M(4, -3). Endpoint G has the coordinates G(-2, 2).
What is a segment bisector?A segment bisector is a line, ray, line segment, or point that divides a line segment into two equal halves at its center.
It is given that:
The midpoint, M, of segment GH is M(4, -3). Endpoint G has the coordinates G(-2, 2).
Let (x, y) be the coordinates of endpoint H
H(x, y)
(x - 2)/2 = 4
x - 2 = 8
x = 8 + 2
x = 10
(y + 2)/2 = -3
y + 2 = -6
y = -8
Thus, the coordinate of the point H is (10, -8) if the midpoint, M, of segment GH is M(4, -3). Endpoint G has the coordinates G(-2, 2).
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The total mass of Sandeep and his sister, Leela, is 54.75 kg. The total
mass of Sandeep and his mother, Mrs Kohli, is 105 kg. Mrs Kohli is
4 times as heavy as Leela. What is Sandeep's mass?
Answer:
38 kg
above is the answer
anyone know this trig question?
Answer: 23.8
Step-by-step explanation:
Since sine= opp/hyp we can use the given info to establish
sin39=15/x
x=23.8
Answer:
d) x≈23.8
Step-by-step explanation:
sin 39 = 15/x multiply by x each side
x sin 39 = 15 divide by sin39
x = 15/sin 39
x = 23.84
x≈23.8
Jordan prepares 200 name tags to use at a
meeting. The number for each color of the
name tag is described below.
• 35% of the name tags are blue
•
3
8
of the name tags are yellow
• all of the remaining name tags are red
How many of Jordan’s name tags are red?
Answer:
number of red tags = 200 - 70 - 38 = 92
Step-by-step explanation:
Jordan has a total of 200 name tag and the tags have different varieties of colors. The tags have blue, yellow and red color . Let us find the number of blue tags
number of blue tags = 35% of 200
number of blue tags = 35/100 × 200
number of blue tags = 70
The number of yellow tags = 38
The remaining number of tags are red color. Therefore the number of red tag will be the total number of tag minus the number of blue tags and the number of yellow tags.
number of red tags = 200 - 70 - 38 = 92
Please help!
Eric has $4,610 in a savings account that earns 4% interest, compounded annually.
To the nearest cent, how much will he have in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
$ ___
Answer:
$ 4,986.18
Step-by-step explanation:
A = $ 4,986.18
A = P + I where
P (principal) = $ 4,610.00
I (interest) = $ 376.18
Which represents the reflection of f(x) = StartRoot x EndRoot over the x-axis?
Step-by-step explanation: For edge2020 it is C graph.
karsten has 5 apples rebecca has 10 apples how many apples are there in total? yes
Answer:
15 apples in total
Step-by-step explanation:
A flag pole broke in a storm it was originally 81 feet tall 28 feet are still sticking straight out of the ground where it snapped but the remaining piece has changed over and touches the ground some distance away how far away is the end of the pool from the base of the pool along the ground
Answer:
Step-by-step explanation:first u need to buy then break it into half with ur friend then ur friend will get all and u will only get one but u will be lonely if u don’t tell ur friend to give u
Can anyone help me out on this, please? I'll mark you brilliant. :)
try 22
Step-by-step explanation: Maybe it could work, hope it. helps,
Khan?
Can someone plz help me
Answer:
i think its c
Step-by-step explanation:
Answer:
The answer is C. 5a² - 4a + 1
Step- by- Step:First you want to Distribute the Negative Sign:
= 10a² + 3 − 5a + −1 (2 + 5a² − a)
= 10a² + 3 + −5a + (−1) (2) + −1 (5a²) + −1 (−a)
= 10a² + 3 + −5a + −2 + −5a² + a
Add Like Terms:
= 10a² + 3 + −5a + −2 + −5a² + a
= (10a² + −5a²) + (−5a + a )+( 3+ −2)
= 5a² + −4a + 1
Happy To Help! :)
PLEASE HELP MATH!!!!!! MULTIPLE CHOICE!!
Choose 1 answer:
(Choice A)
sin(30°)
(Choice B)
cos(30°)
(Choice C)
sin(300°)
(Choice D)
cos(300°)
(Choice E)
sin(330°)
(Choice F)
cos(330°)
Answer:
B should be the correct answer
Step-by-step explanation:
don't quote me on that