your aanswer is 9 ⚡
The value of numbers are,
⇒ 9 and 16
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
The product of two numbers is 1296.
And, one number is 16 times the other,
Let first number = x
Hence, Second number is, 16x
So, We get;
⇒ 16x × x = 1296
⇒ 16x² = 1296
⇒ x² = 81
⇒ x = 9
Hence, first number = 9
And, Second number is,
= 16x
= 16 x 9
= 144
Thus, The value of numbers are,
⇒ 9 and 16
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HELPPPPPPPPPP PLEASEEEEEE!!!!!!!!!!
Answer:C is your answer
Step-by-step explanation:This is not a 90 degree angle or 360 degree shape
I NEED HELP WITH THIS TRIG QUESTION
The angle of elevation from the player's eyes to the center of the rim is approximately 16.2 degrees.
What is unit circle in trigonometry?A circle having a radius of 1 that is centred at the origin of a coordinate plane is known as the unit circle. The sine, cosine, and tangent values for every angle in the unit circle are frequently defined in trigonometry.
A radian-measured angle that begins at the positive x-axis and rotates anticlockwise around the circle can be used to represent each point on the unit circle. (Cos, Sin) are the coordinates of the point on the unit circle that corresponds to the angle.
For the given triangle first determine the value of the height from, the player to the top of the baseball pole as follows:
10 - 5.8 = 4.2 units
Now, using the trigonometric identity of tangent we have:
tan θ = opposite / adjacent
tan θ = 4.2 / 15
θ = tan⁻¹(4.2 / 15)
Hence, the angle of elevation from the player's eyes to the center of the rim is approximately 16.2 degrees.
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The width of the rectangle is 5 units less than the length if the area is 36 square units then find the dimension of the rectangle
Answer:
The dimensions of the rectangle are approximately 8.54 units by 3.54 units.
Step-by-step explanation:
Let's start by using algebra to represent the information given in the problem.
Let L be the length of the rectangle.
Then, the width of the rectangle is 5 units less than the length, which means the width can be expressed as L - 5.
The area of a rectangle is given by the formula A = L * W, where A is the area, L is the length, and W is the width. In this case, we are given that the area is 36 square units. So we can write:
A = L * (L - 5)
36 = L * (L - 5)
Expanding the right-hand side of the equation, we get:
36 = L^2 - 5L
Moving all the terms to the left-hand side of the equation, we get:
L^2 - 5L - 36 = 0
Now we can use the quadratic formula to solve for L:
L = (-(-5) ± sqrt((-5)^2 - 4(1)(-36))) / (2(1))
Simplifying this expression, we get:
L = (5 ± sqrt(229)) / 2
We can discard the negative solution since the length of a rectangle cannot be negative.
So, the length of the rectangle is approximately 8.54 units (rounded to two decimal places).
To find the width, we can substitute this value of L into the expression we derived earlier for the width:
W = L - 5
W = 8.54 - 5
W ≈ 3.54 units (rounded to two decimal places)
Therefore, the dimensions of the rectangle are approximately 8.54 units by 3.54 units.
how much to subtract from 53/6 to make 8
Answer:
We need to subtract 41/6 from 53/6 to get 8. Alternatively, we can say that 8 is 41/6 less than 53/6.
Step-by-step explanation:
To determine how much to subtract from 53/6 to make 8, we need to perform the following calculation:
53/6 - x = 8
where x is the amount we need to subtract.
To isolate x, we need to isolate it on one side of the equation. We can do this by subtracting 53/6 from both sides:
53/6 - x - 53/6 = 8 - 53/6
Simplifying the left-hand side gives:
-x = 8 - 53/6 + 53/6
Simplifying the right-hand side gives:
-x = 41/6
Multiplying both sides by -1 gives:
x = -41/6
Therefore, we need to subtract 41/6 from 53/6 to get 8. Alternatively, we can say that 8 is 41/6 less than 53/6.
Solve the system of linear equation given by 2x − 2y = 7 and −x + y = −2
The system of linear equations has no solutions.
How to solve the system of linear equations?Here we want to solve the system of linear equations:
2x- 2y = 7
-x + y = -2
One could easily identify that the two lines are parallel, but let's prove it. To do so, we can multiply the second equation by -2.
Then we will get:
-2*(-x + y) = -2*-2
2x - 2y = 4
Then the system of equations is:
2x- 2y = 7
2x - 2y = 4
The coefficients in the left side are the same ones and the constants in the right side are different. Thus, the lines are parallel, and thus, the system has no solutions.
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A pool measuring 18 meters by 30 meters is surrounded by a path of uniform width, as shown in the
figure. If the area of the pool and the path combined is 1900 square meters, what is the width of
the path?
The width of the path is approximately 7.45 meters.
What is meant by width?
The width refers to the measurement of something from side to side, typically in a direction perpendicular to its length or height, such as the width of a door or the width of a piece of paper.
What is meant by meters?
Meters are a unit of measurement used to measure the length in the metric system. One meter is equal to 100 centimetres or approximately 3.28 feet. It is commonly used to measure distances, heights, and lengths.
According to the given information
The area of the pool is given by the product of its length and width:
18 × 30 = 540 square meters
The area of the entire region, including the pool and the path, is given by the product of the length and width of the outer rectangle:
(18 + 2x) × (30 + 2x)
Expanding this expression, we get:
540 + 36x + 60x + 4x²
Simplifying, we get:
4x² + 96x + 540
We are given that the area of the entire region is 1900 square meters:
4x² + 96x + 540 = 1900
Subtracting 1900 from both sides, we get:
4x² + 96x - 1360 = 0
Dividing both sides by 4, we get:
x² + 24x - 340 = 0
We can use the quadratic formula to solve for x:
x = (-24 ± √(24² - 4 × 1 × (-340))) / (2 × 1)
Simplifying, we get:
x = (-24 ± √(1216)) / 2
x ≈ -17.45 or x ≈ 7.45
Since the width of the path cannot be negative, we can ignore the negative solution.
Therefore, the width of the path is approximately 7.45 meters.
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Jazmin is flying a kite but it got caught at the top of a 24 ft tree. If she let out 100 ft of string, what is the angle of elevation from Jazmin to the top of the tree (round to the nearest degree)?
The angle of elevation from Jazmin to the top of the tree is 14°.
We are given that;
Top of tree= 24ft
String= 100ft
Now,
We can use any trigonometric ratio that involves opposite and hypotenuse sides, such as sine or cosine. Let’s use sine for this example.
sin θ = opposite / hypotenuse
sin θ = 24 / 100
sin θ = 0.24
θ = sin^-1 (0.24)
θ = 13.9° (rounded to the nearest degree)
Therefore, by the angle the answer will be 14°.
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Please help me solve the photo
. The perimeter of a rectangle is twice its area. If the perimeter is 32L and the breadth is the square of its length, L, find a. length b. Breadth c. Perimeter d. Area of the rectangle.
The rectangle have length = 4, breath = 16, perimeter = 40, and area = 64.
How to evaluate for the length, breadth, perimeter, and area of the rectangleThe perimeter of a rectangle is the sum of length of its four sides or the sum of its length and breadth, multiplied by two. While the area is the length multiplied by the breadth.
Perimeter = 2(L + B)
Area = L × B
From the question;
2(L + B) = 2LB
32L = 2L(L²)...(1) {since B = L²}
from equation (1), L = 4 by solving for L
so;
B = 4² = 16
perimeter of the rectangle = 2(4 + 16) = 40
area of the rectangle = 4 × 16 = 64
Therefore, the rectangle have length = 4, breath = 16, perimeter = 40, and area = 64.
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Answer the following questions.
Answer:
A=60
B=27
Step-by-step explanation:
If the sides of a square are increased by 11, the area becomes 400. What is the length of the original side?
Answer: The length of the original side of the square is 22 units.
Step-by-step explanation:
Let x be the length of the original side of the square.
If the sides are increased by 11, the new side length is x + 11.
The area of the new square is given as 400, so we have:
(x + 11)^2 = 400
Expanding the left side: x^2 + 22x + 121 = 400
Subtracting 400 from both sides: x^2 + 22x - 279 = 0
Using the quadratic formula:
x = (-22 ± sqrt(22^2 - 41(-279))) / (2*1)
x = (-22 ± sqrt(12100)) / 2
x = (-22 ± 110) / 2
Taking the positive solution:
x = (-22 + 110) / 2
x = 44 / 2
x = 22
A teacher asks her students to find an expression for the number of tiles needed to
surround such a square pool, and sees the following responses from her students:
4(s+1)
s²
4s+4
2s+2(s+2)
4s
Is each mathematical model correct or incorrect? How do you know?
The correct mathematical expression to find the number of tiles needed to surround a square pool would depend on how the tiles are arranged and how the dimensions of the pool and the tiles are related.
4(s+1): This expression appears to be correct if we assume that each side of the square pool is surrounded by a row of tiles, and each corner requires an additional tile.
So, the expression can be simplified to 4s+4. This is a valid expression for the number of tiles needed to surround the pool.
s²: This expression does not appear to be correct, as it only gives the area of the square pool, and does not take into account the dimensions of the tiles or the need to surround the pool.
4s+4: This expression is the same as the first expression, 4(s+1), and is a valid expression for the number of tiles needed to surround the pool.
2s+2(s+2): This expression appears to be incorrect, as it gives the total perimeter of the pool plus an additional 4 units, but does not take into account the size of the tiles or the need to surround the pool.
4s: This expression is incorrect, as it only gives the perimeter of the pool and does not take into account the need to surround the pool with tiles.
Thus, two of the given expressions (4(s+1) and 4s+4) are correct, one expression (s²) is incomplete, and two expressions (2s+2(s+2) and 4s) are incorrect.
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Review the information given based on a principal balance of $8,000 to answer the question:
FICO Score Simple Interest Rate Total # of Payments Total Amount Paid
800–850 12% 29 $9,256.00
740–799 15% 33 $9,812.00
670–739 18% 38 $10,554.00
580–669 21% 48 $11,891.00
300–579 28% 60 $14,945.00
Calculate how much more a household with a credit score of 525 will pay compared to a household with a credit score of 675.
a household with a credit score of 525 would pay $4,280.82 more than a household with a credit score of 675 for a principal balance of $8,000.
what is principal balance ?
Principal balance refers to the amount of money that you still owe on a loan or debt, not including any interest or fees that have accrued. When you make a payment towards your loan or debt, a portion of the payment goes towards paying down the principal balance,
In the given question,
To calculate the difference in payment between a household with a credit score of 525 and one with a score of 675, we need to compare the total amount paid for each score range.
For a principal balance of $8,000, based on the given information:
A household with a credit score of 525 would have a simple interest rate of 28%, and would make 60 payments of $249.08 each, for a total amount paid of $14,945.00.
A household with a credit score of 675 would have a simple interest rate of 18%, and would make 38 payments of $280.61 each, for a total amount paid of $10,664.18.
The difference in payment between these two scores would be:
$14,945.00 - $10,664.18 = $4,280.82
Therefore, a household with a credit score of 525 would pay $4,280.82 more than a household with a credit score of 675 for a principal balance of $8,000.
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Please solve As soon as possible.
An equation to match the graph include the following: f(x) = |x + 1| + 1.
What is a translation?In Mathematics and Geometry, the translation a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.
Since the parent function is f(x) = |x|, g(x) would be created by translating f(x) the parent function one unit to the left and one unit upward as follows;
f(x) = |x|
g(x) = |x + 1| + 1
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Each graph below was obtained by transformation(s) of the graph of the cubic function. Write the equation for the function each graph represents.
Correct answer gets brainliest !
The cubic equation graphed have the functions as follows
3/40(x + 5)^3 - 7 y = 2 - 2/5(x + 0.5)^3How to write the equation of the functionsGraph of cubic function
The equation of cubic function is
y = a(x - h)^3 + k
For horizontal inflection at (-5, -7)
y = a(x + 5)^3 - 7
passing through point (-1, -3.8)
-3.8 = a(-1 + 5)^3 - 7
4.8 = -64a
a = 4.8/64 = 3/40
hence the equation is: y = 3/40(x + 5)^3 - 7
Graph of cubic function
The equation of cubic function is
y = k - a(x - h)^3
For horizontal inflection at (-0.5, 2)
y = 2 - a(x + 0.5)^3
passing through point (-5, 38.45)
38.45 = 2 - a(-5 + 0.5)^3
38.45 -2 = -a(-4.5)^3
a = -36.45/(-4.5)^3 = 2/5
hence the equation is: y = 2 - 2/5(x + 0.5)^3
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Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
The equations that represent circles that have a diameter of 12 units and a center that lies on the y-axis are:
A. x² + (y - 3)² = 36.
D. x² + (y + 8)² = 36.
What is the equation of a circle?In Mathematics and Geometry, the standard form of the equation of a circle is represented by the following mathematical equation;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center of a circle.r represents the radius of a circle.Note: A center that lies on the y-axis simply means the value of h on the x-axis is equal to 0.
Based on the information provided above, we have the following parameters:
Radius, r = diameter/2 = 12/2 = 6 units.
Center, (h, k) = (0, 3).
By substituting the given parameters into the equation of a circle formula, we have the following;
(x - h)² + (y - k)² = r²
(x - 0)² + (y - 3)² = 6²
x² + (y - 3)² = 36.
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The equations that represent circles that have a diameter of 12 units and a center that lies on the y-axis are:
A. x² + (y - 3)² = 36.
D. x² + (y + 8)² = 36.
What is the equation of a circle?In Mathematics and Geometry, the standard form of the equation of a circle is represented by the following mathematical equation;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center of a circle.r represents the radius of a circle.Note: A center that lies on the y-axis simply means the value of h on the x-axis is equal to 0.
Based on the information provided above, we have the following parameters:
Radius, r = diameter/2 = 12/2 = 6 units.
Center, (h, k) = (0, 3).
By substituting the given parameters into the equation of a circle formula, we have the following;
(x - h)² + (y - k)² = r²
(x - 0)² + (y - 3)² = 6²
x² + (y - 3)² = 36.
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What is the vertex of the quadratic function?
Answer:
1,-6
Step-by-step explanation:the vertex is the lowest/highest point, as you can see here it is at 1,-6
I need to know the order asap
The inverse of the function f(x) = 3 · x / (8 + x) is f⁻¹(x) = 8 · x / (3 - x).
How to find the inverse of a function
In this problem we must determine the inverse of a function, this can be done by means of algebra properties. First, write the entire function:
f(x) = 3 · x / (8 + x) (Step 0)
y = 3 · x / (8 + x) (Step 1)
Second, use the following substitutions:
x → y
y → x
x = 3 · y / (8 + y) (Step 2)
Third, clear y within the expression:
x · (8 + y) = 3 · y (Step 3)
8 · x + x · y = 3 · y
8 · x = 3 · y - x · y (Step 4)
8 · x = y · (3 - x)
y = 8 · x / (3 - x)
Fourth, use final notation:
f⁻¹(x) = 8 · x / (3 - x) (Step 5)
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Supplementary angles
Answer: ∠EAI and/or ∠EDG (More listed below lol)
Step-by-step explanation:
Starting Angle: ∠ADE
Possible Supplements: ∠EAI, ∠EDG, ∠DAH, ∠DEC, ∠ADF, and ∠AEB
What is the value of the shaded area of the total diagram?(both squares). Please see attached image.
A.0.148
B.0.148 repeated
C. 0.3
D.0.3 repeated
An archaeologist found a fossil whose length is489.44 in.
Consult the conversion table to calculate the length of the fossil infeet.
Round your answer to the nearest tenth.
If the archaeologist found a fossil whose length is 489.44 inches, using the conversion table, the length in feet, to the nearest tenth, is 40.8 feet.
What is the conversion table?The conversion table refers to the tabulated standard units of measurement, showing temperature, length, area, volume, weight, and metric conversions
For instance, the conversion table shows that 12 inches equal 1 foot.
The length of the fossil = 489.44 inches
12 inches = 1 foot
489.44 inches = 40.8 feet (489.44 ÷ 12)
Thus, using the conversion table, which relies on multiplication or division operations using the conversion factors, the length in feet of the fossil is 40.8 feet.
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giving brainlest. Bobby believes his video game scores are clustered closer to his median than Amelia's are to her median. Explain why you agree or do not agree with Bobby.
Write a response.
Sample Response: Bobby’s interquartile range is 113, while Amelia’s is 179. A lower interquartile range means Bobby’s scores are closer to the median.
I cannot agree or disagree with personal beliefs. However, based on statistical principles, if the range of Bobby's scores is narrower than Amelia's range, then it is likely that Bobby's scores are closer to his median. Alternatively, if Amelia's scores are spread out more, her median may not be a good representation of the typical score, and her scores may not cluster closely around it. Ultimately, without more information on the distribution of the scores, it is impossible to determine who has scores clustered closer to their median.
HELP PLS ASAPPP!!!
algebra problem; solving linear inequalities !!! :)
Answer: x = -3/2
Step-by-step explanation:
Exercise
find the truth set of the
1.5(3x-5)-2(x-7)=11
Special right triangles puzzle
Here’s are the instructions:
1. Find each missing value for x and y.
2. Round all answers to the nearest tenth.
3. Organise all of your work in a notebook/sheet of paper.
4. Give the answer in simplest radical form (root form).
5. If may be helpful to zoom in on pieces to see the diagrams clearly.
6. Box D is the first box in the upper left corner of the template! Drag this box over.
7. Continue dragging boxes onto the template and arrange them so that their edges meet with corresponding answers.
D x = 7.8
√7.82
E y = 11.1
√11.12
F x = 5.1
√5.12
G y = 24.3
√24.32
H x = 9.1
√9.12
I y = 15.4
√15.42
J x = 13.7
√13.72
K y = 20.2
√20.22
L x = 11.9
√11.92
M y = 18.3
√18.32
N x = 21
√21
O y = 17.5
√17.52
K
The eccentricity of an ellipse is defined as e = c/a. For an ellipse, 0
5
Find an equation of an ellipse with vertices (0,-6) and (0,6) and e=
6
The equation of an ellipse which satisfies the given conditions is
(Type your answer in standard form.)
close to 0, an ellipse
The equation of the ellipse is y² = 35 (1 - x²)
How did we get this ?The given ellipse has vertices at ( 0, -6) and ( 0 , 6), which lie on the y - axis.
The distance between the centr of the ellipse (which also lies on the y - axis) and each vertex is 6 units. So since we hve
c = 6
and the eccentricity of the ellipse is also given as e = 6
we can use the r elationship between e, a, and c to find the value of a....
e = c/a
6 = 6/a
a = 1
Using the value of A and C, we find the equation of the ellipse, we can use the standard form
( x² / a²) + (y² / b²) = 1
Since the center of the ellipse is at the origin, know that
x / a² + y² / b ² = 1
Substituting a and c, ......
x² / 1² + y² / b² = 1
y² / b² = 1 - x²
y² = b² (1 - x²)
We need to find the value of b. We know that the distance between the center and each co-vertex of the ellipse is 5 units. So we state this as
b² = c² - a²
b² = 6² - 1 ²
b² = 35
Substituting the value of b² in the equation we got earlier, we get
y² = 35( 1 - x²)
Therefore, the equation of the ellipse is:
y² = 35 (1 - x² )
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Two partner a and b agree to divide 30% of the total profits equally between than a and the balance in the ratio 3:4.if the profits is rs 30000 find a,s share of the profits.
well, let's first find out how much is 30% of 30000
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{30\% of 30000}}{\left( \cfrac{30}{100} \right)30000}\implies 9000[/tex]
ok, that means if we split that down the middle, each will get 4500.
so the remaining is 21000, and that's split on a 3:4 ratio, assuming from A to B, so let's simply divide the total 21000 by (3 + 4) and distribute accordingly.
[tex]\stackrel{A}{3}~~ : ~~\stackrel{B}{4} ~~ \implies ~~ \stackrel{A}{3\cdot \frac{21000}{3+4}}~~ : ~~\stackrel{B}{4\cdot \frac{21000}{3+4}}\implies \stackrel{A}{3\cdot 3000}~~ : ~~\stackrel{B}{4\cdot 3000} \\\\\\ \stackrel{A}{9000}~~ : ~~\stackrel{B}{12000}\hspace{9em}\underset{ \textit{share for A} }{\stackrel{ 4500~~ + ~~9000 }{\text{\LARGE 13500}}}[/tex]
Using these sets, find the following: (D NE) UF=
D = {b, a, c, k}
• E = {t, a, s, k}
. F = {b, a, t, h}
Using the information regarding the set, it should be noted that (D NE) UF will be {b, a, t, h, s, t}
How to explain the informationD U E = {b, a, c, k} U {t, a, s, k}
= {b, a, c, k, t, s}
Next, we need to find the complement of set D with respect to set E, which is denoted as D NE. This is the set of all elements in E that are not in D: D NE = E \ D = {t, s}
(D NE) UF = {t, s} U {b, a, t, h}
= {b, a, t, h, s, t}
In conclusion, Using the information regarding the set, it should be noted that (D NE) UF will be {b, a, t, h, s, t}
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Supplementary angles
The angle that is supplementary to <DEA is DEC
How to determine the angleTo determine the angle that is supplementary to <DEA , we need to consider the following;
Supplementary angles are described as angles that sum up to 180 degreesIt is described as the pair of angles on a straight lineSum of angles on a straight line is 180 degreesThe supplementary angles must be pairTangent lines forms supplementary anglesFrom the information given, we have that;
<DEA is supplementary to <DEC that is sum of angles on a straight line.
Then,
<DEA + <DEC = 180 degrees
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48 POINTS PLEASE HELP ME ASAP!
The function f(x) = -0.05(x^2-18x -40) represents the path coming out of the cannon. If x is the horizontal distance from the cannon, what does f(x) represent? Recall that f(x) is a notation for the y-values of the function.
The function f(x) = -0.05(x²-18x -40) represents the "height" of the projectile fired from the cannon at a "horizontal-distance" of x.
The function which represents the path, coming out of the cannon is f(x) = -0.05(x²-18x -40);
The term inside the bracket is : (x²-18x -40) is a quadratic expression that represents the shape of the projectile's path.
Now, let us consider the "negative-coefficient" (-0.05) in front of the quadratic expression.
This means that the function will be reflected about the x-axis, which means that the height of the projectile will be measured downwards from a reference point.
Therefore, f(x) represents the height of the projectile.
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