A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.
C - 2.75b + 4
sorry if i didn't answer it right
A square is inscribed in a circle. What is the ratio of the area of the circle to the area of the square?
The side of the square inscribed in a square be a units then the required ratio is π : 2.
What is an inscribed square?
A square is inscribed in a circle or a polygon if its four vertices are on the circle's circumference or the polygon's sides.
Inscribed in the circle is a square that fits snugly inside a circle. The square's corners will touch but not intersect the circle's boundary, and the diagonal of the square will equal the diameter of the circle. Furthermore, as with any square's diagonal, it equals the hypotenuse of a 45°-45°-90° triangle.
Let the side of the square inscribed in a square be a units.
Hence, the required ratio is 2 : 1.
Let ABCD be a square inscribed in a circle of radius 'r'.
Now, the diameter of the circle is the diagonal of the square.
Therefore, BD = 2r.
In △BDC, using Pythagoras theorem
[tex]BC^2+CD^2=BD^2[/tex]
⇒ [tex]a^2+a^2=(2r)^2[/tex]
⇒ [tex]2a^2=4r^2[/tex]
⇒ [tex]a^2=2r^2[/tex]
Area of square=[tex]2r^2[/tex]
Area of circle =[tex]$$\pi r^2[/tex]
Required ration = [tex]$\pi r^2:2r^2[/tex] = π : 2
Therefore, the required ration is π : 2.
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how to make 86/6 a mixed number
Answer:
14 1/3
Step-by-step explanation:
You have to divide 86 by 6, which gives you 14 with a remainder of 2. This would result in 14 2/6, or simplified: 14 1/3
Answer:
14 2/6
Step-by-step explanation:
We want to transform 86/6 into a mixed number. We can achieve this by following these steps:
Step 1: Divide the numerator (86) by the denominator (6):
86 / 6 = 14 remainder 2
Step 2: Build your answer using the quotient (14) as the whole number and the remainder (2) as the numerator, keeping the same denominator (6). Thus,
The improper fraction 86/6
is equivalent to 14 2/6
simplest form is 14 1/3
please help me with the first one
Answer:
Asking people at an international airport can be thought of as bias because there might a lot of people at the airport who are old and who like to travel.
Asking people whether they’d prefer Italy or France could be bias because what if the people are Italian? Then they’d obviously choose Italy. Or maybe they’re French and they’ve lived in France and been to France too many times and they’d rather visit Italy.
If 86% of people asked took a French course, you can assume they want to learn French (obviously) and that they probably want to learn French so they can visit and be able to communicate with others in France.
Step-by-step explanation:
Jan needs to buy a backpack and several folders for school. If she shops at Smart Supply, the backpack will cost $45 and folders cost $0.45 each. If she shops at The Supply Guys, the backpack will cost $50.40 and folders cost $0.15 each. Write and solve an inequality to find the number of folders Jan would need to buy for The Supply Guys to be the cheaper option.
Answer: Lord Farquaad
Step-by-step explanation: E
Answer:
x>18
Step-by-step explanation:
45+0.45x>50.40+0.15x
-0.15 -0.15
45+0.3>50.40
-45 -45
5.4>0.3
X>18
The value of a stock opens at 130.48 on monday . It change throughout the day as follow: -0.47, +2.89 , +3 .39 , -4. 47, what is the closing price of the stock
The closing price of the stock is 131.82 dollars.
What is a stock ?A stock is an equity or share that represents the ownership of a fraction of a issuing corporation.If someone holds a stock more than 50% that person decides or in charge of most of the things in that co-corporation.
According to the given question The value of a stock opens at 130.48 on monday.
Given it change throughout the day as follow: -0.47, +2.89 , +3 .39 , -4. 47.
∴ The closing price of the stock will be
130.40 + ( -0.47 +2.89 +3 .39 -4. 47 )
= 130.48 + 1.34.
= 131.82 dollars.
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There are 2 gyms. One, Buff Billy's, has a joining cost
of $80 and charges $25 a month. The other,
Shredded Eddie's, has no joining cost but charges
$35 a month. At what month are both gyms the same
total cost?
In linear equation, the intersection at coordinate (9, 315).
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Gym one:
f(x) =80 x + 25
Gym two:
g(x) = 35x (+ 0 [since there was no joining fee])
The first month is easy.
Gym one's cost is just the joining fee plus the one month of membership fee. Or...
105 = 80(1) + 25
Gym two's cost is just that first month's membership fee. Or...
35 = 35(1) + 0
then second month
[f(x) = 185 = 80(2)+25
g(x) = 70 = 35(2)],
then a tenth month [
f(x) = 825 = 80(10) + 25;
g(x) = 350 = 35(10)]
and that gym one's cost exceeded the cost of gym two,
back one month and found the answer.
By month nine, both gyms had equalized at $315.
the intersection at coordinate (9, 315).
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Please help!! 20 points!
Solve for A.
r + A/n = b^2
Answer: A=n(b^2-r)
Step-by-step explanation:
r + A/n = b^2
r-r+A/n = b^2-r
A/n = b^2-r
A*n/n=n(b^2-r)
A=n(b^2-r)
6. Which one of these pictures is not like the others? Explain what makes it different using
ratios.
How do i explain this
Find the equation of a line that passes through the point (3,-1) and has a
gradient of 1/3
Leave your answer in the form y=mx + c
Answer: y=-4x/9 + 1/3
Step-by-step explanation:
y=mx + c
**Substitute known variables into the equation**
-1=3m + 1/3
(-1=3m + 1/3)*3 ==> Multiply equation by 3 to get rid of fractions
-3=9m+1
9m=-4
m=-4/9
y=-4x/9 + 1/3
Solve negative one sixth times the quantity 3 minus 15 times the quantity one third squared end quantity end quantity.
two thirds
18 over 54
negative two ninths
negative two and 42 over 54
The result of the given expression is negative fifth sixth
Solving linear equationThe interpretation of the statement as a linear function is expressed as;
-1/6(3) - 3(1/3)²
Expand the fraction in parenthesis
-1/6(3) = -1/2
3(1/3)² = 3(1/9) = 1/3
Substitute
-1/6(3) - 3(1/3)²
-1/2 - 1/3
-3-2/6
-5/6
Hence the result of the given expression is negative fifth sixth
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COORDINATE GEOMETRY Find the measures of the sides of ΔJ K L and classify each triangle by the measures of its sides. (Lesson 4-1)
J(4,6), K(4,11), L(9,6)
ΔJKL has sides that measure 17.07 units.
What is the definition of a triangle?A triangle is a three-sided polygon with three edges.It is a basic geometric shape.Triangle ABC is a three-vertical triangle with the letters A, B, and C.In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.So,
The formula of perimeter: √(x₂−x₁)²+(y₂−y₁)²
Filling the values in the formula, we obtain:
= √(4−4)²+(11−6)²= 17.07 unitsThen, each side of the triangle will be: 17.07 units
Therefore, ΔJKL has sides that measure 17.07 units.
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A hose with a larger diameter working alone can fill a swimming pool in 9 hours. a hose with a smaller diameter working alone can fill a swimming pool in 18 hours. working together, how long would it take the two hoses to fill the swimming pool? the rate of the hose with the large diameter is
According to the question, the given data is as shown below:
A hose with a larger diameter working alone is [tex]9[/tex] hours
A hose with a smaller diameter working alone is [tex]18[/tex] hours
Now, the time taken by the larger hose to fill the pool is [tex]\frac{1}{9}[/tex]
Similarly, the time taken by the smaller hose to fill the pool is [tex]\frac{1}{18}[/tex]
When they are working together, the expression can be written as:
[tex]\frac{1}{9} +\frac{1}{18} =\frac{1}{a}[/tex]
[tex]\frac{1}{a} =\frac{27}{9X18} =\frac{1}{6}[/tex]
The total time taken by the two hoses to fill the swimming pool is [tex]6[/tex] hours.
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Answer:
The rate of the hose with the large diameter is : 1/9
What is the unknown in the problem? : C. The time it takes for the hoses working together to fill the pool
What part of the job does the hose with the large diameter do? : x/9
Simplify the ratio
4 days: 2 weeks
Answer:
2 days: 1 week
Step-by-step explanation:
4 days : 2 weeks
2 2
2:1
Answer:
Step-by-step explanation:
So we Have 4 days to 2 weeks
In order to simplify this, we need to turn weeks into days
2 x 7 = 14
so 4 days to 14 days
Now we divide and fnd a common multiple
4/2 = 2
and 14/2 = 7
so, 2 days to 7 days, or 2/7
We can leave it at that, or turn it into a decimal
4/14 =0.2857
Hope this helps!^^
A 45° - 45° - 90° right triangle is inscribed in a circle. If the radius of the circle is given, explain how to find the lengths of the right triangle's legs.
Answer:
X = √2 R , where X is the length of the legs as R is the length of the radius .
Step-by-step explanation:
The opposite sides of two same angled triangle is also same . So in this case we can say two legs are in same length as their opposite angles are same (45°)
Now , suppose the given radius is R (look at the diagram) then total diameter is 2R ( DIAMETER = 2 × RADIUS )
Now , we will consider the length of the legs are X ( as the are same ).
Now, we will apply Pythagoras theorem ( The squares on the legs of a right triangle is equal to the square on the hypotenuse . )
∵ X² + X² = (2R)²
or , 2X² = 4R²
or, X² = 2R²
We will root both side
X = √2R
So , X is the length of the legs as R is the length of the radius .
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Find the first five terms of each sequence. aₙ =3n+1
Answer:yes b
Step-by-step explanation:because tou add it
Find the equation of a line that passes through the point (2,3) and has a gradient
of 1/3
Leave your answer in the form y=mx+c
Answer: y=4x/3 + 1/3
Step-by-step explanation:
y=mx+c
**Substitute already known variables**
3=2m+1/3=
(3=2m+1/3)*3= ==> Multiply the equation by 3 to get rid of fractions
9=6m+1
6m=8
m=8/6
m=4/3
y=4x/3 + 1/3
Dadas las siguientes condiciones, determina la ecuación de la recta en su forma general Ax+By+C=0.
Pasa por (−5,0) y tiene pendiente m=32.
32(-5) + 0 + 160 = 0 is the line in the general form of the line the passing through (−5,0) with the slope 32.
What is slope?A number that describes a line's direction and steepness is known as the slope or gradient of a line in mathematics. There is no obvious reason why the letter m is used to represent slope, although it first appears in English in O'Brien (1844), who wrote the equation for a straight line as "y = mx + b," and it may also be found in Todhunter (1888), who wrote it as "y = mx + c."
Let us write the given data in slope-intercept form that is
y = m(x) + b
where m = slope of the line
b = y-intercept
So substituting the values we get
0 = 32(-5) + b
-b = -160
b = 160
so we have the slope intercept form
0 = 32(-5) + 160
Converting this to General form
ax + by + c = 0
32(-5) + 0 + 160 = 0
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Translated question
Given the following conditions, determine the equation of the line in its general form Ax+By+C=0.
It passes through (−5,0) and has slope m=32.
An executive invest $21,000, some at 8% and the rest at 5% annual interest. if he receives an annual return of $1,470, how much is invested at each rate
Using algebraic expression and equation, an executive assistant invested $14,000 and $7,000 at the rate of 8% and 5% annual interest, respectively.
An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".
Given that an executive invest a total of $21,000, we can express this as:
x + y = 21,000 ⇒ x = 21,000 - y (equation 1)
where x = amount invested at 8% annual interest
y = amount invested at 5% annual interest
If the annual return is $1,470, then the sum of the product of the rate and the amount is equal to the annual return.
8%x + 5%y = $1,470
0.08x + 0.05y = 1,470 (equation 2)
Substitute equation 1 to equation 2 and solve for y.
0.08(21,000 - y) + 0.05y = 1,470
1680 - 0.08y + 0.05y = 1470
-0.03y = -210
y = 7000
amount invested at 5% annual interest = $7000
x = 21,000 - y
x = 21,000 - 7000
x = 14,000
amount invested at 8% annual interest = $14000
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Determine whether each sequence is geometric. If so, identify the common ratio and find the next two terms. 1,3,5,7, . . . .
The sequence is in an arithmetic sequence, common difference is 2, next two term is 9 and 11.
The arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
Here the sequence is 1, 3, 5, 7....
Here the sequence is in arithmetic sequence, so the common difference(d) is 3-1 = 5-3 = 2
So the common difference is 2
Now we need to find the next two terms, and for this, we have the formula to find the nth term of the sequence,
[tex]a_{n}[/tex] = a + (n-1)d
We have to find the 5th and 6th terms.
[tex]a_{5}[/tex] = 1 + 4×2
= 1 + 8
= 9
[tex]a_{6}[/tex] = 1 + 5×2
= 1 + 10
= 11
Therefore the sequence is in an arithmetic sequence, the common difference is 2 and the next two terms of the sequence are 9 and 11.
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HElp me pleaseASAP
F(x) = -3x + 12, what is F(4)
G(x) = 2x - 8, what is G(-5)
Solve each equation. Check each solution. 1/x + x/2 = x+ 4/2x
The solution of the given equation /x + x/2 = x+ 4/2x for x is i√2.
According to the given question.
We have an equation 1/x + x/2 = x+ 4/2x.
Since, we have to solve th egiven equation 1/x + x/2 = x+ 4/2x, for x.
Therefore, the solution of the given equation 1/x + x/2 = x+ 4/2x for x is given by
1/x + x/2 = x+ 4/2x
⇒ 1/x - 4/2x = x - x/2
⇒ 1/x -2/x = x - x/2
⇒ (1-2)/x = (2x -x)/2
⇒ -1/x = x/2
⇒ -2 = x^2
⇒ x = √(-2)
⇒ x = i√2 (√-1 = i)
Hence, the solution of the given equation /x + x/2 = x+ 4/2x for x is i√2.
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HELP URGGENNT :3 TYYY !
Answer:
Answers on attached image
Step-by-step explanation:
The interior angle measure of a regular polygon is given. Identify the polygon.
135
The regular polygon with an interior angle of measure 135 is an octagon.
A regular polygon is a polygon that has equal side lengths and equal interior angle measures.
Interior angle of a polygon is the angle inside it that is formed by two adjacent sides. The number of interior angles formed inside a polygon is the same as the number of its sides. Meanwhile, the sum of all the interior angles of any polygon is constant to that polygon and depends on the number of sides.
sum = 180(n - 2)
Let n = number of sides of the polygon = number of interior angles
sum = measure of interior angle x n
Using the formula,
sum = 180(n - 2)
135n = 180(n - 2)
135n = 180n - 360
180n - 135n = 360
45n = 360
n = 8
If the polygon has 8 sides and 8 interior angles, then the regular polygon is an octagon.
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what is the least common denominator of 7/10 and 1/2
Answer:
10
Step-by-step explanation:
:D
Explain how you know the
measure of angle ABC
Sentence Frame
Angle ABC =
angle ABC is
because...
degrees,
degrees
E
A
B
40°
D
C
Answer:
The answer is in the attached screenshot!!! :)
Step-by-step explanation:
Please let me know if you have any questions!!! :)
Use area to explain why the centroid of a triangle is its center of gravity. Then use this explanation to describe the location for the balancing point for a rectangle.
A triangle's centroid is the point through which all of the mass of a triangular plate appears to act.
Why is the centroid the center of gravity of a triangle?The centroid of a triangle is the point through which all of the mass of a triangular plate appears to act. Also known as the "center of gravity," "center of mass," or "barycenter." A fascinating fact is that the centroid is the point at which the triangle's medians intersect.
The triangle's centroid is defined as the point of convergence. Three triangle medians intersect at the figure's centroid "G." The center of gravity is another name for a centroid.
The triangle is divided into two equal-area triangles by each median. The centroid is the intersection of the three medians The centroid is the intersection of the three medians. The three medians divide the triangle into six triangles, each with the same area.
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Solve each equation. Check your answer. 2-3(x+4)=8
PLEASE HELP THIS IS DUE SOON
Answer:
Common difference = x - 2.
Step-by-step explanation:
Differences:
-2x - 9 - (-3x - 7)
= -2x - 9 + 3x + 7
= x - 2
-x - 11 - (-2x - 9)
= - x - 11 +2x + 9
= x - 2
So, it is Arithmetic.
Answer:
Arithmetic sequence.
Common difference = -x - 11
Step-by-step explanation:
This is an arithmetic sequence.
-3x - 7, -2x - 9, -x - 11, ...
Find the common difference.
Common difference =second term - first term.
= -2x - 9 - (-3x - 7)
= -2x - 9 + 3x +7
= -2x + 3x - 9 + 7 {Combine like terms}
= x - 2
If we add the common difference to the second term, we will get the third term.
Third term = second term + common difference
= -2x - 9 + x - 2
= -2x + x - 9 - 2
= -x - 11.
Hence this is an arithmetic sequence.
how to find area of cross section
Just search it up online
I would like to know what is; 8 1/4 x 6 4/5 = ?
Answer:
56.1
Step-by-step explanation:
