Pls answer need it ASAP
Answer:
a = 13.3
Step-by-step explanation:
Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
c^2 = a^2 + b^2
15^2 = a^2 + b^2
a^2 = 15^2 - 7^2 = 225 - 49 = 176
a = √176 = 13.26 = 13.3
Mariah house sits on an irregular lot with a triangular shaped backyard. Most of the backyard will be grass, but Mariah would also like a rectangular garden plot. She plans to outline both the yard and the garden plot with bricks. How many square yards of brick will Mariah need to buy?
In order to outline the yard and the garden allotment with bricks and Using Pythagorean theorem, Mariah will need to buy about 69.4 yards³ of brick.
what is pythagoras theorem ?
According to the Pythagorean Theorem, the square of the length of the hypotenuse in a right triangle equals the total of the squares of the lengths of the other two sides. The hypotenuse is the side that faces the right angle. In mathematics, it can be expressed as:
c² = a² + b²
where the lengths of the other two sides (the legs) of the right - angled triangle are a and b, and c is the length of the hypotenuse. Pythagoras, an ancient Greek mathematician, is attributed with discovering and proving this theorem, so it bears his name. Geometry, algebra, and other fields of mathematics and science all make extensive use of the Pythagorean Theorem.
given
The Pythagorean formula can be used to determine side C.
C² = A² + B²
C²= 30² + 50²
C² = 900 + 2500
C² = 3400
C ≈ 58.3
As a result, the triangle-shaped yard's circumference is:
30 + 50 + 58.3 ≈ 138.3 feet
We require information regarding the measurements of the rectangular garden plot. Let's assume it is 20 feet long and 15 feet wide.
Thus, the vegetable plot's perimeter is as follows:
2(20 + 15) = 70 feet
The perimeters must now be converted from feet to yards (since we are calculating square yards).
circumference of a triangular yard: 46.1 yards x 138.3 feet
Garden plot boundaries measured as 70 feet by 23.3 yards.
In order to calculate the overall number of bricks required, we add the two perimeters:
46.1 plus 23.3 equals 69.4 square yards.
In order to outline the yard and the garden allotment with bricks, Mariah will need to buy about 69.4 yards³ of brick.
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Select the correct answer from each drop-down menu.
Consider quadrilateral EFGH on the coordinate grid.
-6
E
-4
1
LL
F
>+
Y
6-
2-
O
-4-
-6-
H
-N
G
05.
6
In quadrilateral EFGH, sides FG and EH are
are
X
because they
The area of quadrilateral EFGH is closest to
✓square units.
Sides EF and GH
First box ( not congruent, congruent).
Second box ( each have a length of 5.83, each have a length of 7.07, have different lengths)
Third box ( not congruent, congruent with lengths of 4.24, congruent with length of 5.83)
Fourth box (41, 34, 25, 30)
In quadrilateral EFGH, sides FG and EH are congruent because they each have a length of 7.07. Sides EF and GH are not congruent. The area of quadrilateral EFGH is closest to 41 square units.
How to calculate the distance between the two points?For the width, we would determine the distance between the vertices F (-1, 4) and G(4, -1)
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance FG = √[(4 - (-1))² + (-1 - 4)²]
Distance FG = √[5² + (-5)²]
Distance FG = √50
Distance FG = 7.07 units.
Distance EH = √[(1 - (-4))² + (-4 - 1)²]
Distance EH = √[5² + (-5)²]
Distance EH = √50
Distance FG = 7.07 units.
For the length, we would determine the distance between the vertices E (-4, 1) and F (-1, 4)
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance EF = √[(-1 - (-4))² + (4 - 1)²]
Distance EF = √[3² + (3)²]
Distance EF = √9
Distance EF = 3 units.
Distance HG = √[(4 - 1)² + (1 - (-4))²]
Distance HG = √[3² + (5)²]
Distance HG = √34 units.
Mathematically, the area of a rectangle can be calculated by using this formula:
Area of rectangle = length × width
Area of rectangle = √34 × 7.07
Area of rectangle = 41.22 square units.
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I need help im stuck (image attach)
Answer:
∠e = 32°
∠d = 69°
∠f = 79°
Step-by-step explanation:
Angle e and 32° are vertical angles, so this means that ∠e = 32° because vertical angles are congruent.
Next, a straight line is equal to 180°, and angle e is equal to 32°, so we can write the following equation to solve for angle f:
69° + e + f = 180° ➜ 69° + 32° + f = 180° ➜ 101° + f = 180° ➜ f = 79°
Lastly, angle d and 69° are also vertical angles, so this means that ∠d = 69° because vertical angles are congruent.
write a point slope form equation of the line that passes through the point (1, 7) with the slope 3/5
Answer:
y - 7 = 3/5 (x - 1)
Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.)
Answer:
Step-by-step explanation:
it's -4.89279003
2. A package of paper is 2" high and 1.5" wide. If a warehouse shelf is 1' 5" high and 2 yards
long, how many packages of paper can be put on the shelf?
Therefore, approximately 408 packages of paper can be put on the shelf.
What is area?Area is a measure of the amount of space inside a two-dimensional shape or surface. It is usually expressed in square units such as square meters, square inches, or square feet. The area of a shape can be found by multiplying the length of the shape by its width. The concept of area is used in many areas of mathematics and in a wide range of real-world applications, including architecture, engineering, physics, and geography. The ability to calculate the area of a shape is an important skill in many fields and is a fundamental concept in geometry.
Here,
To solve this problem, we need to find the number of packages of paper that can fit on the warehouse shelf by dividing the total shelf area by the area of each package.
First, we need to convert the height of the shelf from feet and inches to inches:
1 foot = 12 inches
1' 5" = 1 * 12 + 5 = 17 inches
Next, we need to convert the length of the shelf from yards to inches:
1 yard = 36 inches
2 yards = 2 * 36 = 72 inches
Now we can find the area of the warehouse shelf:
Area = length * height
Area = 72 inches * 17 inches
Area = 1224 square inches
The area of each package of paper is:
Area = height * width
Area = 2 inches * 1.5 inches
Area = 3 square inches
Now we can find the number of packages of paper that can fit on the warehouse shelf:
Number of packages = Shelf area / Package area
Number of packages = 1224 square inches / 3 square inches
Number of packages ≈ 408
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Simplify the following expression
by combining like terms.
3y + 8 + 4y + 2
Answer:
Step-by-step explanation:
1. Figure out which terms are alike. I have separated the like terms using parenthesis for clarification, however, this is not necessary when solving by yourself.
(3y + 4y) + (8 + 2)
2. Combine both sets of like terms however the signs dictate. In this case, add all the signs.
3y + 4y = 7y
(solve as if there was no constant so if 3 + 4 = 7 then 3y + 4y = 7y)
8 + 2 = 10
3. Put it all together
Final answer: 7y + 10
Note: Understanding how to combine and simplify like terms will be very helpful when you eventually will have to solve for y. When solving an equation you will always want to start by combing and simplifying like terms first.
Express the following permutations as products of cyclic permutations S_(10)=([1,2,3,4,5,6,7,8,9,10],[4,6,9,5,10,2,8,3,7,1])
The given permutations can be expressed as the product of the following cyclic permutations: (1 4 5 10)(2 6)(3 9 7 8).
The given permutations can be expressed as products of cyclic permutations as follows:
S10 = ([1,2,3,4,5,6,7,8,9,10],[4,6,9,5,10,2,8,3,7,1])
= (1 4 5 10)(2 6)(3 9 7 8)(7 8 3 9)
= (1 4)(4 5)(5 10)(2 6)(3 9)(9 7)(7 8)(8 3)
= (1 4 5 10)(2 6)(3 9 7 8)
Therefore, the given permutations can be expressed as the product of the following cyclic permutations: (1 4 5 10)(2 6)(3 9 7 8).
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Of the 650 juniors at Jefferson High School, 468 are enrolled in Algebra II, 292 are enrolled in
Physics, and 180 are taking both courses at the same time. If one of the 650 juniors was picked
at random, what is the probability they are taking Physics, if we know they are in Algebra II
(Physics given AII)? Round to the nearest hundredth.
Answer:
0.38
Step-by-step explanation:
Ms. Volkerson bought 3 yards of
fabric. She used 1 yards to make an
apron. Which is the best estimate of
how many yards of fabric Ms. Volkerson
has now?
use the point-slope form to write the equation of a line that passes through the point (17,-12) with slope -3
The equation of a line that passes through the point (17,-12) with slope -3 is found as: y = -3x + 39.
Explain about the point-slope form?Write the equation of a line with only a slope of 3 and then a y-intercept of 6 on a graph. Observe how Scenario A provides us with sufficient details straight away to formulate the equation in the form y=mx+b since we already understand the slope, m, and y-intercept, b. Here is how the equation can be expressed: y=3x+6equation of a line using point-slope form is-
y - y1 = m(x - x1)
Points: (17,-12) and slope -3.
Put the values:
y - (-12) = -3(x - 17)
y + 12 = -3x + 51
y = -3x + 51 - 12
y = -3x + 39
Thus, the equation of a line that passes through the point (17,-12) with slope -3 is found as: y = -3x + 39.
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What is the answer? Please help!
Answer:
the answer is 88 square inches
Step-by-step explanation:
[tex]2(6 \times 4) + 2(4 \times 2) + 2(6 \times 2) = 88[/tex]
At the grocery store Adrian spends $8 on food, plus $4 each for pumpkins. Which statements are true? Choose all that are correct. Responses If Adrian buys 3 pumpkins, his total cost is $12. If Adrian buys 3 pumpkins, his total cost is $12. If Adrian buys 5 pumpkins, his total cost is $44. If Adrian buys 5 pumpkins, his total cost is $44. If Adrian buys 4 pumpkins, his total cost is $24. If Adrian buys 4 pumpkins, his total cost is $24. Adrian’s total cost may be represented as 8+4x . Adrian’s total cost may be represented as 8 + 4 x . Adrian’s total cost may be represented as 4+8x . Adrian’s total cost may be represented as 4 + 8 x . Adrian’s total cost may be represented as 12x .
Kyler designed a pool with a diameter of 25 meters. What is the area of the bottom of the pool?
Answer:
962.084375 meters² or 306.25π
Step-by-step explanation:
A diameter is a line that goes straight through the center of the circle. Since it goes through the center, it creates 2 radii. This splits the diameter into 2 separate parts, and since the diameter is 25 meters, that means that the radius will be 25/2 = 17.5 meters.
The formula for the area of a circle is pi • r²
Since we know the radius (17.5), we can solve this expression:
pi • 17.5²
pi • 306.25
If we use 3.1415 for pi, we get962.084375 meters²
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use table a-3 to find the range of values for the p-value of a left tailed test with n = 38 and a test statistic of t = 2.714?
The range οf P-values wοuld be 0.01 < P-value < 0.02
What is the test statistic?In statistics, a test statistic is a numerical value that is calculated frοm a sample οf data and is used tο determine whether οr nοt tο reject a null hypοthesis in a hypοthesis test.
The chοice οf test statistic depends οn the specific hypοthesis test being perfοrmed and the nature οf the data being analyzed. Fοr example, in a t-test fοr the mean οf a nοrmally distributed pοpulatiοn, the test statistic is the t-value, which is calculated as the difference between the sample mean and the hypοthesized pοpulatiοn mean divided by the standard errοr οf the mean.
Using Table A-3 with n = 38 and a left-tailed test statistic t = 2.714, we find the cοrrespοnding P-value tο be between 0.01 and 0.02. Therefοre, the range οf values fοr the P-value is:
0.01 < P-value < 0.02
Sο the cοrrect respοnse is:
0.01 < P-value < 0.02
Hence, the range οf P-values wοuld be 0.01 < P-value < 0.02
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Complete Question:
Mrs Shepard rode her bike 5. 25 miles in 0. 7 hours how fast was she going in miles per hour
Mrs Sheperd was going 7.5 miles per hour
Let us assume that d represents the distance covered by Mrs Shepard, 't' represents the time required and 's' represents the speed of her bike.
Here, d = 5.25 miles
t = 0.7 hours
We know that the formula of speed is speed = distance/time
Using this formula we calculate the speed (s) of Mrs Shepard's bike.
speed = distance/time
⇒ s = d/t
⇒ s = 5.25/0.7
⇒s = 7.5 miles per hour
This means that the speed (s) of Mrs Shepard's bike was 7.5 miles per hour
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This morning the temperature was -5 °F. How much must the temperature change to reach 0 °F?
Answer:
5°
Step-by-step explanation:
because: -5°+5°=0° I think
Answer:
5 degrees
Step-by-step explanation:
-5+5=0
Andrew Albring purchases an inflatable shark for $12.99, 8 gallons of chlorine at $1.99 each, 2 gallons of
algaecide at $7.99 each, 1 thermometer for $12.99, and 2 sets of fins at $22.99 each. If the sales tax rate
is 7.5%, what is the total purchase price?
A)$63.37
B)$86.94
C)$111.13
D)$111.65
Option D is correct, the total purchase price is $111.65.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Lets find the price of each item
Inflatable shark: $12.99
8 gallons of chlorine at $1.99 each: 8 x $1.99 = $15.92
2 gallons of algaecide at $7.99 each: 2 x $7.99 = $15.98
1 thermometer for $12.99: $12.99
2 sets of fins at $22.99 each: 2 x $22.99 = $45.98
Now add the costs of all the items:
$12.99 + $15.92 + $15.98 + $12.99 + $45.98 = $103.86
we multiply the total cost by the tax rate to find the sales tax.
$103.86 x 0.075 = $7.79
Finally, we add the sales tax to the total cost to get the final purchase price:
$103.86 + $7.79 = $111.65
Therefore, the total purchase price is $111.65.Option D is correct.
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I need help pls pls pls pls help quickly.
The length of the diagonal of this square is 11 and option 4 is the correct answer.
What is diagonal?A diagonal line is a line segment that joins two of a shape's vertices when there isn't already an edge between them. It doesn't go directly above, below, or across. The diagonals are always in the form of a straight line. In other terms, a diagonal is a line that passes through the vertex of a polygon or polyhedron and links its opposing corners.
Given that, x is the length of the diagonal of the square.
Also, x² = 132
The value of x is:
x = √132
x = 11.48
Hence, the length of the diagonal of this square is 11 and option 4 is the correct answer.
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Research online about the applications of Sinusoidal (periodic)
Functions in real life and write an abstract of your reading. Your
abstract must be between 150 and 200 words
Sinusoidal (periodic) functions, also known as sine and cosine functions, are ubiquitous in our daily lives. They are used to model a wide range of phenomena in fields such as engineering, physics, and mathematics.
One of the most common applications of sinusoidal functions is in the field of electronics, where they are used to model alternating current (AC) circuits.
Sinusoidal functions are also used in signal processing, audio and image compression, and speech recognition. In addition, they are used in the design of various mechanical and electrical systems, such as engines, turbines, and power generators.
Sinusoidal functions also play an important role in wave motion, such as ocean waves and sound waves. They are used to model the behavior of waves and to predict their properties, such as wavelength and frequency.
Furthermore, sinusoidal functions are used in the field of optics to model the behavior of light waves. They are used to describe the properties of light waves, such as amplitude, frequency, and phase.
In conclusion, sinusoidal functions have a wide range of applications in various fields, from electronics and signal processing to mechanics and optics. Their versatility and accuracy make them an essential tool for modeling and predicting real-world phenomena.
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Complete the square to find the standard form for this circle:
x²-10x + y²+14y-7=0
A. (x+5)²+(y-7)² = 81
B. (x+5)²+(y+7)² = 9
C. (x-5)²+(y-7)² = 9
D. (x-5)²+(y+7)² = 81
The standard form for the circle x² - 10x + y² + 14y - 7 = 0 is (x - 5)² + (y + 7)² = 81. The correct answer is D.
To find the standard form of the given circle, we must complete the square by rearranging the equation and adding constants to both sides of the equation to create perfect squares. Here are the steps:
1. Rearrange the equation so that the x and y terms are together:
x² - 10x + y² + 14y = 7
2. Complete the square for the x terms by adding (10/2)² = 25 to both sides of the equation:
x² - 10x + 25 + y² + 14y = 7 + 25
3. Complete the square for the y terms by adding (14/2)² = 49 to both sides of the equation:
x² - 10x + 25 + y² + 14y + 49 = 7 + 25 + 49
4. Simplify the equation by factoring the perfect squares:
(x² - 10x + 25) + (y² + 14y + 49) = 7 + 25 + 49
(x - 5)² + (y + 7)² = 81
So, the standard form for this circle is (x - 5)² + (y + 7)² = 81, which is option D.
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find the slope of the equation -6x+3y=-12
Answer: m=2
Step-by-step explanation: First convert the equation to slope-intercept form; y=mx+b. This new equation would be 3y=6x-12. Because y must be singular, each side must be divided by 3, to isolate the variable y. After doing this, the equation is y=2x-4. In terms of y=mx+b, m is attached to x, making the slope of this equation 2.
The graph and the table show the high temperatures in a city over a 10-day period.
a. What was the high temperature on Day 7?
b. On which days was the high temperature 61 degrees?
c. Is the high temperature a function of the day? Explain how you know.
d. Is the day a function of the high temperature? Explain how you know.
The graph and the table show the high temperatures in a city over a 10-day period. here are the right answer:
a. 60, b. 2, 4, and 6 days
c. Yes, the high temperature is a function of the day.
Reading the graph:The following group is shows a the high temperatures in a city for 10 -days. Where height temperature is on day 9, lowest temparature in day 7. Here the high temperature is a function of the day.
Here we have
The graph and the table show the high temperatures in a city for 10-days
From the table,
The high temperature on Day 7 = 60
The high temperature 61 degrees on 2, 4, and 6 days
Since the graph shows the change in temperature as well as the change in the number of days the high temperature is a function of the day
Therefore,
The answer are
a. 60, b. 2, 4, and 6 days
c. Yes, the high temperature is a function of the day.
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r each equation, determine whether its all symmetries that apply. (a) y^(2)-x+10=0
The equation y^(2)-x+10=0 has no symmetry.
Symmetry is when one part of an equation is the mirror image of another part. In this case, there is no symmetry because the equation cannot be mirrored on any axis.
To check for symmetry with respect to the y-axis, we can replace x with -x and see if the equation is still true. In this case, y^(2)-(-x)+10=0 is not the same as the original equation, so there is no symmetry with respect to the y-axis.
Similarly, to check for symmetry with respect to the x-axis, we can replace y with -y and see if the equation is still true. In this case, (-y)^(2)-x+10=0 is not the same as the original equation, so there is no symmetry with respect to the x-axis.
Finally, to check for symmetry with respect to the origin, we can replace x with -x and y with -y and see if the equation is still true. In this case, (-y)^(2)-(-x)+10=0 is not the same as the original equation, so there is no symmetry with respect to the origin.
Therefore, the equation y^(2)-x+10=0 has no symmetry.
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Which equations represent functions that are non-linear? Select each correct answer. A. Y = x B. 2 y = 1 2 x C. Y = 8 + x D. Y − 6 = x 2 E. Y = 1 3 − 5 x F. Y = 2 x 2 + 5 − 3 x 3 I NEED HELP NOW!!!
The equations y-6=x² and y=2x²+5-3x³ are non linear. Therefore, options D and F are the correct answers.
What is linear function?A linear function is a function that represents a straight line on the coordinate plane. The standard form of a linear function is y = mx + b.
Here, 'm' is the slope of the line, 'b' is the y-intercept of the line, 'x' is the independent variable and 'y' (or f(x)) is the dependent variable.
A) y=x
Here, degree of the equation is 1, so the equation is linear.
B) 2y=12x
Here, degree of the equation is 1, so the equation is linear.
C) y=8+x
Here, degree of the equation is 1, so the equation is linear.
D) y-6=x²
Here, degree of the equation is 2, so the equation is quadratic.
E) y=13-5x
Here, degree of the equation is 1, so the equation is linear.
F) y=2x²+5-3x³
Here, degree of the equation is 3, so the equation is cubic.
Therefore, options D and F are the correct answers.
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Alice drew a scale drawing of a swimming pool. She used the scale 1 centimeter : 4 meters. If the actual length of the pool is 32 meters, how long is the pool in the drawing?
The pool is 0.5 centimeters long in the drawing.
The ratio of 1 centimeter to 4 meters means that for every 4 meters in real life, Alice drew 1 centimeter in her drawing.
To find out how long the pool is in the drawing, we need to divide the actual length of the pool by the scale factor.
The scale factor is 4 meters : 1 centimeter, which is the same as 1 meter : 0.25 centimeters.
So to find the length of the pool in the drawing, we need to divide the actual length of the pool by 4 to get the length in meters, and then multiply by 0.25 to convert to centimeters:
Length in drawing = (32 meters / 4) x 0.25 = 2 x 0.25 = 0.5 centimeters
Therefore, the pool is 0.5 centimeters long in the drawing.
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Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.)
The expression can be expanded as a sum of three logarithms:
[tex]log4(xy^5 Z^4) = log4(x) + 5 log4(y) + 4 log4(Z)[/tex]
What is the logarithms?
Logarithms are mathematical functions that help to simplify the representation of very large or very small numbers. They are the inverse functions of exponential functions.
Using the properties of logarithms, we can expand the expression as follows:
[tex]log4(xy^5 Z^4) = log4(x) + log4(y^5) + log4(Z^4)[/tex]
Now, we can simplify each logarithm using the property that log[tex](a^b[/tex]) = b log(a):
[tex]log4(x) + log4(y^5) + log4(Z^4) = log4(x) + 5 log4(y) + 4 log4(Z)[/tex]
Hence, the expression can be expanded as a sum of three logarithms:
[tex]log4(xy^5 Z^4) = log4(x) + 5 log4(y) + 4 log4(Z)[/tex]
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120 rupees 5 paise = — ( 120. 50 / 120. 05) rupees
The expression of one hundred twenty rupees and five paise in rupees is equals to the rupees 120.05.
We have, 120 rupees and 5 paise and we will express as rupees using decimals.
We have been given 5 paise. As we see 120 rupees so it's remain as it but we have to change 5 paise in rupees. Using the conversation factor, as we know that 100 paise = rupee 1
=> 1 paisa = Rs. 1/100
so, here conversation factor is = 1/100
The required value is obtained by multiplying the observed values by conversion factor. Therefore,
5 paise = Rs. (5×1/100)
= 5/100
= Rs. 0.05
Therefore, in decimals 5 paise = Rs. 0.05. Now, 120 rupees 5 paise = Rs. 120 + Rs. 0.05 = Rs. 120.05
Hence, required value is Rs. 120.05.
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Complete question:
Express in form of rupees
120 rupees 5 paise = — rupees.
If of a number is 4 more than of the same number, what is the number?
12
20
24
28
Answer:
please your question is incomplete
Step-by-step explanation:
if....... of a number