Answer:
Step-by-step explanation:
[tex]\frac{x}{45} =sin~53\\x=45 ~sin~53 ~\approx ~35.94[/tex]
Write an equation in standard form of an ellipse that has a vertex at (0, 6), a co-vertex at (1, 0), and a center at the origin.
Answer:
The standard form of the equation of the ellipse is x² + y²/36 = 1
Step-by-step explanation:
* Lets revise the standard equation of the ellipse
- The standard form of the equation of an ellipse with
center (0 , 0) is x²/b² + y²/a² = 1
where,
* the length of the major axis is 2a
* the coordinates of the vertices are (0 , ±a)
* the length of the minor axis is 2b
* the coordinates of the co-vertices are (±b , 0)
* the coordinates of the foci are (0 , ± c), where c² = a² - b²
* Now lets solve the problem
∵ The vertex of the ellipse is (0 , 6)
∴ a = 6
∵ The co-vertex is (1 , 0)
∴ b = 1
∵ the center is the origin (0 , 0)
∵ The standard form equation is x²/b² + y²/a² = 1
∴ x²/(1)² + y²/(6)² = 1 ⇒ simplify
∴ x² + y²/36 = 1
* The standard form of the equation of the ellipse is x² + y²/36 = 1
I need help with this question and a step by step explanation for future references, Thanks!
Answer:
x = 7
y = -2
Step-by-step explanation:
Equation 1: 2x + y = 12
Equation 2: x - y = 9
Rewrite Equation 2 to make x the subject:
⇒ x = 9 + y
Substitute this into Equation 1 and solve for y:
⇒ 2(9 + y) + y = 12
⇒ 18 + 2y + y = 12
⇒ 18 + 3y = 12
⇒ 3y = -6
⇒ y = -2
Substitute found value of y into the rewritten Equation 2 and solve for x:
⇒ x = 9 + (-2)
⇒ x = 7
Step-by-step explanation:
2x + y = 12 equ 1
x - y = 9 equ 2
from equ 2 make x the subject
x - y = 9
x = 9 + y equ 3
substitute equ 3 to equ 1
2x + y = 12
2(9 + y ) + y = 12
18 + 2y + y = 12
3y = - 6
y = -2
substitute y = -2 into equ 3
x = 9 + (-2)
x = 9 - 2 = 7
(x, y) = (7, -2)
let's prove and see if we are correct
2x + y = 12
input the values of (x, y) = ( 7, -2) into the question
2(7) + (-2) = 12
14 - 2 = 12
12 = 12
for the second equation
x - y = 9
Input the values of (x, y) = ( 7, -2) into the question
7 - (-2) = 9
7 + 2 = 9
9 = 9
The table shows the location and magnitude of some notable earthquakes. How many times more energy was released by the earthquake in Peru than by the earthquake in Italy? Use the given equation for comparing earthquake intensity level and magnitude.
Using the given logarithmic equation, it is found that 158.5 more energy was released by the earthquake in Peru than by the earthquake in Italy.
How many times more energy an earthquake releases than another?According to the logarithmic function given in the problem, the ratio between the amounts of energy released is given by:
log r = M1 - M2
In which M1 and M2 are the magnitudes.
In this problem, considering the earthquakes in Peru and Italy, the magnitudes are M1 = 8.1, M2 = 5.9, hence:
log r = M1 - M2
log r = 8.1 - 5.9
log r = 2.2
[tex]10^{\log{r}} = 10^{2.2}[/tex]
r = 158.5
158.5 more energy was released by the earthquake in Peru than by the earthquake in Italy.
More can be learned about logarithmic equations at https://brainly.com/question/25537936
I need help with questions two and three I do not understand them at all
find the circumference of a circle whose.
A. Diameter is 14cm
B. Radius is 3.5cm
Hello!
Circumference of a Circle
C=πd
or
C=2πr
Plug in the values
C=14π
C≈44 cm
C=2π×3.5
C≈22 cm
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
;-)
CHOICES -> TRUE OR FALSE
Answer:
1.True
2.false
3.True
4.True
5.false
6.false
7.false
8.True
9.True
10.false
Step-by-step explanation:
10,000cm^2=1m^2
In 8- 11 find the area of each parrelogram or rhombus
The areas of the two parallelograms are 105 square inches and 20.997 square yards, respectively.
How to determine the area of a parallelogram
A parallelogram is a quadrilateral with two pairs of parallel sides with equal length and two pairs of angles of equal measure. The area of the parallelogram (A), in square yards or square inches, equals the product of its base length (b), in yards, and its height (h), in yards.
The area of each parallelogram is determined afterwards:
Exercise 10A = (10.5 in) · (10 in)
A = 105 in²
Exercise 11A = (9 yd) · (2.333 yd)
A = 20.997 yd²
The areas of the two parallelograms are 105 square inches and 20.997 square yards, respectively. [tex]\blacksquare[/tex]
To learn more on parallelograms, we kindly invite to check this verified question: https://brainly.com/question/1563728
164 hundreds - 12 hundreds
Answer:
152 hundred
Step-by-step explanation:
164 hundred - 12 hundred = 152 hundred
Please rate!
Answer:
1.52
Hope this helps :)
Step-by-step explanation:
step one:
put them as decimals which would be 1.64 and 0.12
step two:
subtract which would be 1.64 - 0.12
step three:
solve your answer would be 1.52 or 152 hundredths
find C.P if S.P = Rs 208, profit percent = 4%
Answer:
Rs 200
Step-by-step explanation:
100/104×Rs 208
Rs 200
S.P = 208
4%×208=8.32
208-8.38=199.68
Therefore, C.P = ₹199.68
so approximately C.P = ₹200
Find the value of x. Write answer in simplest form.
Answer:
x=8
Step-by-step explanation:
x²+x²=(8 root2)²
2x²=128
÷2 on both sides
=x²=64
square root each side
so x=8
Apply Pythagorean theorem
P²+B²=H²x²+x²=(8√2)²2x²=(8√2)²2x²=128x²=128/2x²=64x=√64x=8What is the value of y in the equation 4x +3 y= 23 when x=2 , x=6
Answer:
5, -⅓
Step-by-step explanation:
x = 2:
4x + 3y = 23
3y = 23 - 4(2)
3y = 15
y = 5
x = 6:
4x + 3y = 23
3y = 23 - 4(6)
3y = -1
y = -⅓
Anyone help Please tysm
=========================================================
Explanation:
Count the number of leaves for each stem.
The first row has 5 leaves, the next has 8, and so on.
This is the list of leaf counts for each row when reading from top to bottom.
58873Add those leaf counts to get 5+8+8+7+3 = 31
There are 31 leaves total to represent the n = 31 values in this data set.
The median is in slot n/2 = 31/2 = 15.5 = 16 which is at the exact center.
Notice how 5+8 = 13 is too small compared to slot 16
But 5+8+8 = 21 is too big. Therefore, the median in slot 16 is somewhere in the third row.
Specifically, it's the third item in that row because 13+3 = 16
The third item in the the third row is the leaf 4. It pairs with the stem 3
stem = 3 and leaf = 4 combine to the value 34. The median is 34.
---------------------------------------
Another way to find the median:
Start with the first leaf in the first row (that value being 6). It pairs up with the last leaf in the last row (that value is 5). Cross those outer-most values from the list.
Repeat that step with the next outer-most values (7 in row one and 2 in row five). This process of crossing out the outer-most values will gradually narrow the list down until we approach the very middle item. You should arrive at the "4" in the third row.
This process is longer than the first method in the previous section, but it might be handy to see it being visual like this.
Answer: 26.533
Step-by-step explanation: add the leaf numbers and multiply them with the respective stem number and all those add together. the result divided by the sum of stem numbers.
Which of the following points is a solution to the system of equations x - y = 1 and -x + 3y = - 7?
(-2,2) is a solution.
0 (-2, - 3) is a solution.
(1. - 2) is a solution.
(4.3) is a solution
Answer:
(-2,-3)
Step-by-step explanation:
Put the equations over each other.
[tex] \binom{x - y = 1}{ - x + 3y = - 7 } [/tex]
Subtract the x values.
[tex] \binom{ - y = 1}{3y = - 7} [/tex]
Subtract on both sides.
[tex]2y = - 6[/tex]
Divide on both sides.
[tex]y = - 3[/tex]
Insert the y value into one of the equations.
[tex]x - ( - 3) = 1[/tex]
Get rid of the parenthesis.
[tex]x + 3 = 1[/tex]
Subtract on both sides.
[tex]x = - 2[/tex]
You could also individually plug in each solution into both equations to see if they are true.
Angles P and Q are supplementary. m∠P=43∘. Which statement is true?
m∠Q=147∘
m∠Q=47∘
m∠Q=137∘
m∠Q=43∘
P + Q = 180
43 + Q = 180
Q = 180 - 43
m∠Q = 137°#CarryOnLearning
#LibreAngMatuto
Solve for x: ___ degrees.
Answer:
63
Step-by-step explanation:
This is a cyclic quadrilateral, meaning that its opposite angles are supplementary. So, x=180-117=63.
Please help, I don’t know the answer
Answer:
a. height: 36 units
b. radius: 4 units
Step-by-step explanation:
The volume of a cone is given by the formula ...
V = 1/3πr²h . . . . . for radius r and height h
This tells you the volume is jointly proportional to the height and the square of the radius. This means that for a given volume, the height is inversely proportional to the square of the radius. We can use this proportionality to answer the questions here.
__
a.The radius of Cone B is 2 units. Compared to Cone A, the radius of Cone B is 2/6 = 1/3 of the radius of cone A. The square of this ratio is (1/3)² = 1/9, and the inverse of that square is 9/1. This means the height of Cone B is 9 times the height of Cone A, so is ...
Cone B height = 9 × 4 units = 36 units
__
b.The height of this Cone B is 9 units, whereas the height of Cone A is 4 units. This means the height of Cone B is 9/4 times the height of Cone A. This is the inverse of the square of the ratio of radii of Cone B to Cone A. Inverting the height ratio, we get 4/9. Taking the square root of that, we get √(4/9) = 2/3. This means the radius of Cone B is 2/3 the radius of Cone A:
Cone B radius = 2/3 × 6 units = 4 units
_____
Additional comment
We can check the above dimensions using the volume formula.
a. V = 1/3π(2 units)²(36 units) = 48π units³
b. V = 1/3π(4 units)²(9 units) = 48π units³
These are the expected volume, so the answers check OK.
The area of the figure below
Answer:
32 square milimeters
Step-by-step explanation:
3/4 of 24= 18 (rectangle 8X3)
4x2=8 (rectangle 4x2)
half of 12 =6 (rectangle 4x3)
18+8+6 =32
PLEASE HELP PLEASE help
Answer:
Q. Equal
Step-by-step explanation:
"The same" means equal. Its kind of like equations.
1 is equal to 1 they are the same number
answer: Equal
Step-by-step explanation: being the same in quantity, size, degree, or value.
please answer my question I will mark BRAINLIEST
With explanation please of all
Answer:
See below ↓
Step-by-step explanation:
11)
AB = AC [as angles opposing them are equal]AB = 4 cmB is the answer12)
x/2 = 9/3 [they are in proportion across the transversal]x = 2 x 3x = 6C is the answer13)
Let the missing side lengths (which are equal) be xx² + x² = (2√2)²2x² = 8x² = 4x = 2 [length is always positive]A is the answerThere is a rule on Brainly which states you can only answer 3 questions maximum per post.
So I can only help with you this much.
Hope this helped~
Answer:
Its me Viktor Kozhanov may I have brainliest please
I also answered all you questions so give brainliest to those
as well
Step-by-step explanation:
I need help on this question can someone help.
Answer:
G. (8,6)
Step-by-step explanation:
remember that EF is four times the length of DE
so the distance between E and D multiplied by 4 should equal F
f ( 1 ) =
solve f ( x ) =1:
x =
Answer:
If b=5:7, find the value of B in terms of c
Anthony's sink is shaped like a half-sphere, and it has a volume of 700m cubic inches.
It is completely full of water, and he has two different cylindrical cups he can use to
scoop it out
The blue cup has a diameter of 4 in. and a height of 8 in., and the green cup has a
diameter of 8 in. and a height of 8 in.. How many cupfuls of water will it take for him
to empty his sink using each cup?
You will need to use the small cup 9 times or the larger cup 2 times.
How many cups he needs to use of each one?
The volume of the sink is 700 in^3
The smaller cup is a cylinder with a diameter of 4 in and a height of 8 in, its volume is:
V = 3.14*(4in/2)^2*8in = 100.48 in^3
To remove all the water in the sink you will need:
N = 700 in^3/100.48 in^3 = 6.97 = 7
You will need to scoop the water 7 times.
For the larger cup, the diameter of 8 in and a height of 8 in, its volume is:
V' = 3.14*(8in/2)^2*8in = 401.92 in^3
You will need to scoop the water:
N' = 700 in^3/401.92 in^3 = 2 times.
If you want to learn more about volumes, you can read:
https://brainly.com/question/1972490
Which is the graph of x2 − y2 = 16?
Answer:
see attached
Step-by-step explanation:
When the signs of the x^2 and y^2 terms of a relation quadratic in both x and y are different, the relation represents a hyperbola. The graph of the hyperbola is shown in the attachment.
__
If the signs are the same, the relation represents an ellipse. If the coefficients of the squared terms are also the same, then that ellipse is a circle.
Hi what is a+3squared /56
Answer:
well friend you answer is
Step-by-step explanation:
a+ 3/56
i hope this helped
Answer:
Step-by-step explanation:
The appropriate symbolic expression would be
a + 3²
---------
56
Ben made a down payment of $4,000
Answer:
Step-by-step explanation:
Do you know the rest of the question, I can hopefully answer it!
rest of the question??!
can someone pls answer the UNANSWERED questions. (the ones that dont have the blue dot on them) WILL MARK BRAINLIEST
Answer:
7.B
9.A
Step-by-step explanation:
Gcf of 24 and 36
is 12
a^2 and a is a
180-50
=130
acute mean less than 90 degrees
180-89=41
89 and 41 are acute
1 is also wrong
Answer:
7. B 2·2·3·a
9. B 41°
Step-by-step explanation:
You want the greatest common factor of 24a² and 36ab, and you want the smallest integer-valued angle in an acute triangle with one angle 50 degrees.
7. GCFThe factors of 24a² are 2·2·2·3·a·a.
The factors of 36ab are 2·2·3·3·a·b.
The factors these lists have in common are 2·2·3·a, matching choice B.
9. AnglesIf one angle of a triangle is 50°, the sum of the other two angles must be ...
180° -50° = 130° . . . . . . sum of angles B and C
One of these angles will be the smallest it can be only if the other is the largest it can be. The largest integer acute angle is 89°, so the smaller angle will be ...
130° -89° = 41°
The smallest possible angle in the acute triangle is 41°.
__
Additional comment
8. A dodecagon has 12 lines of symmetry, 6 through opposite vertices, and 6 through opposite sides. The correct choice for 8 is A.
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The temperature at 1:00 p.m. The temperature at 1:00 p.m. on Tuesday was -13°C. There was an increase of 6º per
hour starting at 1:00 p.m. Which of the following best represents the Celsius
temperature n hours after 1:00 p.m. on Tuesday?
A. -13 + bn
B. -13 - 6n
C. -13n + 6
D. -13n - 6
So
Equation in slope intercept form
y=mx+by=6n+(-13)y=6n-13Option A
What is the difference between Surface Area and Lateral Surface Area?
Answer:
The total surface area of a solid is the sum of the areas of all of the faces or surfaces that enclose the solid. The faces include the tops and bottoms (bases) and the remaining surfaces. The lateral surface area of a solid is the surface area of the solid without the bases.
Step-by-step explanation:
Easy math 3 pictures
Answer:
1. 52yard²
2. $54
3. 30.5
Step-by-step explanation:
1. area of square shape = lenght x breadth
= 4 * 4
= 16
area of rectangle shape = lenght x breadth
= 9 * 4 = 36
tatal area = 16 + 36
= 52yard²
2. let the cost = c
thus 9% * c = 4.86
c = 4.86 * 90%
c = $54
3.area of length traingle=1\2 *base * height
= 1\2 * 3 * 7
= 10.5
area of right quadrilateral= legnth*bredth
= 4 * 3
= 12
area of right traingle = 1\2 * base * height
= 1\2 * 4 * 4
= 8
total area of shape = 10.5+12+8
= 30.5
DO MARK BRAINLIEST
Answer:52 54 30.5
Step-by-step explanation:
Choose the correct graph of the function y=-1/2√x+3+2
Find y intercept
[tex]\\ \rm\rightarrowtail y=-\dfrac{1}{2}\sqrt{x+3}+2[/tex]
[tex]\\ \rm\rightarrowtail y=-\dfrac{1}{2}\sqrt{0+3}+2[/tex]
[tex]\\ \rm\rightarrowtail y=\dfrac{-\sqrt{3}}{2}+2[/tex]
[tex]\\ \rm\rightarrowtail y=\dfrac{4-\sqrt{3}}{2}[/tex]
[tex]\\ \rm\rightarrowtail y=\dfrac{4-1.732}{2}[/tex]
[tex]\\ \rm\rightarrowtail y=\dfrac{2.368}{2}[/tex]
[tex]\\ \rm\rightarrowtail y=1.184[/tex]
y intercept=(0,1.2)Option A