Answer:
Both
Step-by-step explanation:
Which is the equation of an ellipse centered at the origin with foci on x-axis, major axis of length 12 and minor axis of length 8?
Answer:
[tex]\frac{x^{2} }{36}+\frac{y^2}{16}=1[/tex]
Step-by-step explanation:
Center of the ellipse is at origin (0, 0)
So (h, k) = (0, 0)
Length of major axis = 12
2a = 12
⇒ a = 6
Length of minor axis = 8
⇒ 2b = 8
⇒ b = 4
Since focus is on the x-axis, so it's a horizontal ellipse.
Equation of the horizontal ellipse is in the form of,
[tex]\frac{(x-h)^{2} }{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]
By substituting the given values of a, b, and (h, k)
[tex]\frac{(x-0)^{2}}{6^2}+\frac{(y-0)^2}{4^2}=1[/tex]
[tex]\frac{x^{2} }{36}+\frac{y^2}{16}=1[/tex]
Answer:
A
Step-by-step explanation:
edge
Triangle L N M is shown. Angle L N M is a right angle. Angle N L M is 70 degrees and angle N M L is 20 degrees. The length of hypotenuse L M is 8. Rounded to the nearest tenth, what is the length of LN? sin(20°) = StartFraction L N Over 8 EndFraction (8)sin(20°) = LN = LN
Answer:
2.7
Step-by-step explanation:
its the answer trust me
A hovercraft takes off from a platform.
Its height (in meters),
x
xx seconds after takeoff, is modeled by:
h
(
x
)
=
−
3
(
x
−
3
)
2
+
108
h(x)=−3(x−3)
2
+108h, left parenthesis, x, right parenthesis, equals, minus, 3, left parenthesis, x, minus, 3, right parenthesis, squared, plus, 108
What is the height of the hovercraft at the time of takeoff?
Answer:
81 meters.
Step-by-step explanation:
The height (in meters), h(x) of a hovercraft x seconds after takeoff, is modeled by:
[tex]h(x)=-3(x-3)^2+108[/tex]
We are to determine its height at the time of takeoff.
Now, at the time of takeoff, x=0.
We substitute x=0 to solve for h.
[tex]h(0)=-3(0-3)^2+108\\=-3(-3)^2+108\\=-3(9)+108\\=-27+108\\=81$ meters[/tex]
The height of the hovercraft at takeoff is 81 meters.
Please i need help with this problem its probability
Answer:
.3333333
Step-by-step explanation:
There are 10 shirts
6 blue and 4 green
P (blue) = blue shirts/ total
6/10 = 3/5
Then there are 9 shirts left 5 blue and 4 green
P(blue) = blue shirts / total
5/9
P(blue, no replace, blue) = 3/5 * 5/9 = 1/3
what is an equevilent fraction to 2/4
1/2 = 2/4 = 3/6,4/8,5/10,6/12,7/14, etc.
Add 1 to the numerator. Add 2 to the denominator.
Answer:
Equivilent fractions of 2/4 include the following: 1/2, 3/6, 4/8, 5/10.
Step-by-step explanation:
The fraction 2/4 can be simplified to 1/2, because 2 is half of 4. And since 3 is half of 6, it can also be simplified to 1/2, making the fractions 2/4 and 3/6 equal to eachother.
I hope that makes sense :)
Find the measure of arc QR
doing quests, sorry luv. but what does it look like?
C. 104°. The measure of arc QR is equal to 104°.
In Mathematics and Euclidean Geometry, the inscribed angle of a circle is equal to one-half of the central angle or intercepted arc of a circle. This ultimately implies that, the measure of an inscribed angle is one-half the measure of the arc it intercepts based on the inscribed angle theorem.
Since angle S intercepts arc QR, the measure of the angle substended by the intercepted arc can be modeled by the following mathematical equation:
m∠S = 1/2(arc QR).
52 = 1/2 × arc QR
Arc QR = 2 × 52
Arc QR = 104°.
Complete Question:
Find the measure of arc QR.
A. 26°
B. 52°
C. 104°
D. 128°
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
We divided the figure into 1 triangle and 3 rectangles (as shown in attached pic).
Adding up the area of them, we get the total area:
A = area of triangle + area of 3 rectangles
= base x height/2 + length1 x width1 + length2 x width2 + length3 x width3
= 6 x (2 + 11 + 5 - 4 -3)/2 + 2 x 2 + 11 x (5 + 2) + 5 x 9
= 159 (m2)
Hope this helps!
:)
Step 1) Split the figure into separate shapes
Triangle: 6 x 11
Small square: 2 x 2
Large rectangle (center): 16 x 7
Medium rectangle (bottom): 2 x 5
Step 2) Find the area of each shape
Triangle: A = 6 x 11 x 1/2 = 33
Small square: A = 2 x 2 = 4
Large rectangle (center): A = 16 x 7 = 112
Medium rectangle (bottom): A = 2 x 5 = 10
Step 3) Add the areas together
A = 33 + 4 + 112 + 10 = 159 square meters
Hope this helps! :)
Four friends went to a park to fly kites. Asher stood 50 feet due west of the flagpole. Baxter stood 50 feet due north of Asher. Cranby stood 100 feet due East of Baxter. Dudley stood 50 feet due south of Cranby. How far is Dudley from the flagpole
Answer:Dudley is 50 feet from the flagpole.
Step-by-step explanation:
The situation is represented in the attached diagram. FL represents the flagpole.
A represents the position of Asher.
B represents the position of Baxter.
C represents the position of Cranby.
D represents the position of Dudley.
Looking at the diagram, Dudley is at the same level with Asher but eastwards of the flagpole. The distance of Dudley from the flagpole would be
100 - 50 = 50 feet
Final answer:
Dudley is 100 feet east from the flagpole after the friends have each moved from their starting positions.
Explanation:
The question describes four friends at different locations in relation to a flagpole, and we are asked to determine how far Dudley is from the flagpole after following the described steps by the friends. To solve this, we can visualize or draw a diagram to represent the positions of friends and use the Pythagorean theorem to find the distance Dudley is from the flagpole.
Asher is 50 feet due west of the flagpole.Baxter is 50 feet due north of Asher.Cranby is 100 feet due East of Baxter.Dudley is 50 feet due south of Cranby.First, let's determine the position of Cranby.
Since Baxter moved 50 feet north from Asher's position and then Cranby moved 100 feet east from Baxter's position, we can see that Cranby is 100 feet east and 50 feet north of the flagpole.
Dudley, standing 50 feet south of Cranby, would thus be at the same north-south position as the flagpole but still 100 feet to the east.
Therefore, Dudley is 100 feet east of the flagpole.
Solve the equation x2−17x+13=−27x 2 −17x+13=−27 to the nearest tenth.
Answer:
14.2, 2.8
Step-by-step explanation:
3x+6y=8
The equation in slope-intercept form is y=
Answer:
y=1/2x+4/3
Step-by-step explanation:
1.) subtract -3x to the side the 3x is on and then put it on the side that has the 8 on it
2.) write it out as 6y=-3x+8
3.) divide by six to the whole problem
4.) simplify
Help out before 8pm
Answer:
The two triangles are related by SAS so the triangles are congruent by SAS
Step-by-step explanation:
The angle that is the same is between the two sides that are the same
The triangle is congruent by SAS
Two lines meet at a point that is also the endpoint set up an equation to find the value of w pls need help
Gus likes to walk through a local park. Gus walked 11 miles in 4 hours. If he walked the same distance every hour, how far did he walk in one hour in miles? In feet and miles? In feet?
Answer:
He walked 2.75 miles in one hour (distance in miles)
He walked 2 miles 3960 feet in one hour (distance in feet and miles)
He walked 14520 feet in one hour (distance in feet)
Step-by-step explanation:
Using proportion to solve;
Let x be the distance(in mile) walked in one hour
11 miles = 4 hours
x = 1 hour
cross-multiply
4×x = 11
4x = 11
Divide both-side of the equation by 4
4x/4 = 11/4
At the right-hand side of the equation, 4 will cancel-out 4 leaving us with just x
x =2.75 miles
He walked 2.75 miles in one hour
Converting it to feet and miles
1 mile = 5280 feet
0.75 mile = y
y = 0.75×5280
=3960 feet
he walked 2 miles 3960 feet in one hour
To convert it to feet
1 mile = 5280 feet
2.75 miles = x
x = 2.75×5280
x = 14520 feet
he walked 14520 feet in one hour
What is the total surface area of the solid? A rectangular prism with a length of 16 millimeters, width of 11 millimeters, and height of 10 millimeters. A triangular prism with a triangular base with a base of 11 millimeters and height of 8 millimeters. The prism has a height of 16 millimeters. 1004.4 square millimeters 1114.4 square millimeters 1290.4 square millimeters 1466.4 square millimeters
Answer:
If you still need the answer I think it's B
Step-by-step explanation:
The total surface area of the solid is 1466.4 square millimeters.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The rectangular prism has a total surface area of:
2lw + 2lh + 2wh
= 2(16)(11) + 2(16)(10) + 2(11)(10)
= 352 + 320 + 220
= 892 square millimeters.
The triangular prism has a total surface area of:
2B + Ph
= 2(0.5bh) + (perimeter of base)h
= 2(0.5(11)(8)) + (11 + 8 + sqrt(11² + 8²))(16)
= 88 + 478.4
= 566.4 square millimeters.
Therefore,
The total surface area of the solid is:
892 + 566.4
= 1458.4 square millimeters,
which rounded to one decimal place is 1466.4 square millimeters.
Thus,
The total surface area of the solid is 1466.4 square millimeters.
Learn more about prism here:
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In APQR, the measure of ZR=90°, RQ = 16, PR = 63, and QP = 65. What ratio
represents the cosine of angleQ?
Answer:
The ratio is 16/65
Step-by-step explanation:
In this question, we are tasked with calculating what ratio represents the cosine of the angle Q.
In a right angled triangle, there are usually three sides, the hypotenuse, the opposite and the adjacent. Also, there are three angles, 2 asides the ∠90°. The hypotenuse is the longest side which faces the ∠90°, the opposite is that side facing the angle we are interested in while the adjacent is the third side.
Hence we can have only a single hypotenuse, which is the longest side, two opposites(depending on the angle we are concerned about and two adjacents two based on the angle of interest
Firstly, please check attachment for diagrammatic representation.
The ratio for the cosine of an angle is = length of adjacent/length of hypotenuse
From the diagram, with respect to angle Q, the length of the adjacent is 16 while the length of the hypotenuse is 65.
Thus, the ratio representing the cosine of angle Q is 16/65
You have less than 3 hours to complete your homework. What inequality would represent this?
Answer:
<
Step-by-step explanation: Since it just said you have less than and not equal to you can say its only less than.
Answer:
< Is the correct answer
25 more than a number, t
Answer:
25+(The number)
Step-by-step explanation:
Factor x2 + 5x - 24 A) (x + 8)(x - 3) B) (x + 3)(x - 8) C) (x + 6)(x + 4) D) (x + 2)(x - 12)
Answer:
A) (x+8)(x-3)
Step-by-step explanation:
this is the answer
(5x-6)^2=25x^2-60x+36. Where did the -60x come from?
Answer:
see below
Step-by-step explanation:
(5x-6)^2
This means
(5x-6)*(5x-6)
FOIL
First: 5x*5x = 25x^2
outer: 5x*-6 = -30x
inner -6*5x = -30
last -6*-6 = 36
Add these together
25x^2 -30x-30x +36
Combine like terms
25x%2 -60x+36
The speed of a boat in still water is 25 km/ hour. The time taken by this boat to go downstream of distance 120 is 4 hours. Find the speed of the stream/water.
Answer:
It is 5 km/hour
Step-by-step explanation:
Let w represents the speed of the water
The speed can be found by following:
→ distance = speed x time → speed = distance / time (1)
If the boat goes downstream the total speed of the boat is the speed of the boat in still water + the speed of the water. Substitute the values into equation 1:
→ (the speed of the boat in still water + the speed of the water) = 120 / 4
Since the speed of the boat in still water is 25
→ 25 + w = 120 / 4
→ w + 25 = 30
→ w = 5
In the figure below, what is the measure of angle w?
Answer:
D - 150
Hope it helped :)
Answer:
150=w
Step-by-step explanation:
The answer is a little bit wordy. w = the sum of 85 + the supplement of 115.
So the first thing to do is get the supplement of 115.
180 - 115 = 65
w = 85 + 65 (These two are the remote interior angles. W is equal to the sum of them).
w = 150
Evaluate −2x2−4x+3 when x=−2
Answer: 3
Step-by-step explanation:
Evaluate is a fancy word for putting the value assigned into the equation and see what result you get.
[tex]-2x^2-4x+3\\x=-2[/tex]
[tex]-2(-2)^2-4(-2)+3\\-2(4)+8+3\\-8+8+3\\3[/tex]
To evaluate the expression −2x²−4x+3 for x=−2, substitute x with -2 and perform the operations: square x, multiply by -2, multiply -4 by x, and add the results to get the final answer of 3.
To evaluate the expression
−2x²−4x+3 when x=−2, we need to substitute x with −2 and then follow the order of operations, which is to perform exponentiation before multiplication and addition.
Thus, −2x²−4x+3 evaluates to 3 when x is −2.
What is 110% of 90 as a fraction
Answer:99/1
Step-by-step explanation:110% = 1.1
1.1 * 90 = 99
99= 99/1
help with on number 4 and 6 please! I will mark you the brainliest!
Answer:
4. 2 triangular faces, 9 edges, and 6 vertices
6. 2 rectangular faces, 12 edges, and 8 vertices
Step-by-step explanation:
Please mark brainliest :)
Which set of ordered pairs could be generated by an exponential function
Answer:
C is the answer
Step-by-step explanation:
If you graph them on a line the outcome will be a straight line making it functional and a proportion
The required set of ordered pairs are (0, 1), (1, 3), (2, 9), (3, 27). The correct option is (D).
What is an exponential function?An exponential function can be represented as y = aˣ. When x = 0, y = a⁰ = 1. The range of an exponential function is from zero to infinity for a > 0.
It is clear from the given options that, only options (B) and (D) satisfies the general expression y = aˣ at x = 0.
Now, both these options can be examined one by one as follows,
Option (B),
The ordered pairs are given as (0, 1), (1, 2), (2, 5), (3, 10).
Substitute the values in the general expression y = aˣ, first two pair are satisfied for a = 2 but the remaining two are not.
Option (D),
The ordered pairs are given as (0, 1), (1, 3), (2, 9), (3, 27).
Substitute the values in the general expression y = aˣ, all the pairs are satisfied for a = 3.
Thus, the correct option is found.
Hence, the set of ordered pairs which could be generated by an exponential function are (0, 1), (1, 3), (2, 9), (3, 27).
To know more about exponential function click on,
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Quincy folds a piece of cardboard to make the three sides of a triangular prism open at top
and bottom. The triangular prism and the piece of cardboard that he used are shown below.
What is the area of the piece of cardboard?
20 cm
9 crn
540 square
centimeters
460 square
centimeters
563 square
centimeters
500 square
centimeters
62% complate
Answer:
500 cm²
Step-by-step explanation:
You haven't presented any diagrams, so I assume the prism has the dimensions shown below.
Then the dimensions of the original piece of cardboard are as in the second figure.
The area of the cardboard is the same as the lateral area of the triangular prism.
The formula for the area of a rectangle is
A = lw
l = 9 cm + 9 cm + 7 cm = 25 cm
w = 20 cm
A = 25 cm × 20 cm = 500 cm²
The area of the piece of cardboard is 500 cm².
please help will mark branlist!!
Answer:
x=9
Step-by-step explanation:
Looking at the diagram, we see that four angles are formed by the intersection of two lines. The angles highlighted in blue and green are therefore, vertical angles. We know that vertical angles have equal angle measures meaning that in this case, the measure of the blue angle is equal to the measure of the green angle. Using this, we can now solve for x:
7x+49=2x+94
7x-2x=94-49
5x=45
x=45/5
x=9
Tristan's fish tank is yard long, yard wide, and yard high. (Note that the fish tank is in the shape of a rectangular prism and not a cube.) One way of finding the volume of the tank is by dividing the tank into cubic blocks. What should the side lengths of each cubic block used to find the volume be?
Tristan's fish tank is 1/2 yard long, 1/6 yard wide, and 1/3 yard high. (Note that the fish tank is in the shape of a rectangular prism and not a cube.) One way of finding the volume of the tank is by dividing the tank into cubic blocks. What should the side lengths of each cubic block used to find the volume be?
Answer:
the side lengths are 3 sides, 1 side and 2 sides of each cubic block.
Step-by-step explanation:
The volume of the rectangular prism is:
[tex](1/2 \ yard) * (1/6 \ yard) * (1/3 \ yard) = 1/36 \ yard^3[/tex]
However: let's find their lowest common multiples to determine their side length.
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, ...
Multiples of 6: 6, 12, 18, 24, 30, ...
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
The lowest common multiple for 2 , 6 and 3 is 6 .
Then in terms of the side length of each cubic block; we have :
1/2 × 6 = 3
1/6 × 6 = 1
1/3 × 6 = 2
So the side lengths are 3 sides, 1 side and 2 sides of each cubic block
The Louvre Pyramid is a metal and glass structure that serves as the main entrance
to the Louvre Museum in Paris, France. The pyramid has a volume of 8820 cubic meters.
The base is a square with sides that are 35 meters long.
Calculate the surface area of the Louvre Pyramid.
Answer:
3171 square meters
Step-by-step explanation:
You want the surface area of a 35 m square pyramid that has a volume of 8820 cubic meters.
HeightThe volume is given by ...
V = 1/3s²h
so the height of the pyramid is ...
h = 3V/s² = 3(8820)/35² = 21.6 . . . . meters
Slant heightThe slant height of one triangular face of the pyramid is found from the Pythagorean theorem:
c² = a² +b²
c² = 21.6² + 17.5² = 772.81
c = √771.81 ≈ 27.799 . . . . . . meters
AreaThe surface area of the pyramid is the sum of the area of the square base and the lateral area of the four triangular faces.
SA = s² + 4(1/2)(sc) = s(s +2c)
SA = 35(35 +2·27.8) = 3171 . . . . square meters
The surface area of the Louvre Pyramid is about 3171 square meters.
BRAINLIEST FOR HELP PLZ
Answer:
1,395 sq feet
Step-by-step explanation:
lets start with the area of the green cube b×h. 15×15=225. 225×5= 1125. I got five because there are 5 visible faces on the cube. to find the area of a triangle you use the formula 1/2 bh 9×15= 135 multiply that by 2 instead of one half because you have four triangular faces. add your areas together and you get 1395
Answer: 1465
Step-by-step explanation:
225 base
225 for each wall (x4)
540 area for the top