Answer:
Step-by-step explanation:
Distance around = 2*160 + 2*360
= 320 + 720
= 1080 feet.
The distance around the field is 1040 feet.
It is required to find the distance around the field.
What is rectangle?A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees.
Given that:
A football field is 160 feet wide and 360 feet in length.
A football field is in the shape of rectangle.
So, we know that ,
Perimeter of rectangle= 2(length +breadth)
Distance around
= 2(160 + 360)
=2(520)
= 1040 feet.
Hence, the distance around the field is 1040 feet.
Learn more about rectangle here:
https://brainly.com/question/28040873
#SPJ2
Zoe went out to her garden and cut 19 roses from the first rose bush, 28 roses from the second rose bush, 37 roses from the third rose bush, and 46 roses from the fourth rose bush. What kind of sequence is this?
Based on the given scenario, the kind of sequence explained is an arithmetic sequence
SequenceFirst bush = 19 rosesSecond bush = 28 rosesThird bush = 37 rosesFourth bush = 46First term, a = 19
Second term, a + d
28 = 19 + d
28 - 19 = d
9 = d
Common difference, d = 9Third term, a + 2d
= 19 + 2(9)
= 19 + 18
= 37
Learn more about sequence:
https://brainly.com/question/6561461
#SPJ1
How many two digit numbers have on odd digit and one evan digit?
Answer: There are only 90 two-digit numbers. It shouldn’t take long to write them out and count them
Step-by-step explanation:
Answer:
45 numbers
Step-by-step explanation:
The 10-digit numbers are 10-99. We can manually write them out to start and see if we can find a pattern.
We can start 10-19: The numbers that have one odd digit and one even digit at 10, 12, 14, 16, 18 (since 1 is odd, we can only pick the numbers that have an even unit digit)
Next, we move on to 20-29: The numbers that follow the property are 21, 23, 25, 27, 29
Both of these examples have 5 numbers that follow the property. We can notice that all of the subsequent clusters (30-39, 40-49, 50-59, 60-69, 70-79, 80-89, 90-99) will also have 5 each. The numbers that start with an odd number will have the same unit digits as the 10-19 cluster, and the numbers that start with an even number will have the same unit digits as the 20-29 cluster. Observe:
30-39: 30, 32, 34, 36, 38
40-49: 41, 43, 45, 47, 49
50-59: 50, 52, 54, 56, 58
60-69: 61, 63, 65, 67, 69
70-79: 70, 72, 74, 76, 78
80-89: 81, 83, 85, 87, 89
90-99: 90, 92, 94, 96, 98
In all, there are 9 clusters of numbers, and each one has 5 numbers that follow the property. Therefore, the total is 9*5 or 45 numbers
Are the triangles similar? If so, state the similarity and the postulate or theorem that justifies your answer.
Answer: no, it's not similar because we cannot multiply it by any factor that the ratio will be the
Step-by-step explanation:
Harmony earns a $42,000 salary in the first year of her career. Each year, she gets a 4%, percent raise.
Which expression gives the total amount Harmony has earned in her first n years of her career?
Answer:
42000*1.04^(n-1)
Step-by-step explanation:
4% is equal to 0.04, a raise is 1+0.04=1.04
1.04 is now the number we are multiplying by to get a new yearly salary for Harmony.
42000*1.04^(n-1) since n is how many years after she has the job you have to raise it to the power and subtract one.
How many 3-coin combinations exist if we can choose from
pennies, nickels, dimes, and quarters?
select one:
a. 20
b. 4!
o
c.4.
o
d. 12
There are four numbers of 3-coin combinations if we can choose from nickels, dimes, quarters, and half-dollars.
How to solve probability combinations?The coins to select from are nickels, dimes, quarters, and half-dollars;
Thus;
Coins (n) = 4
The number of coin to select is:
Coin (r) = 3
The coin combination is then calculated using:
Combination = ⁴C₃
Apply the combination formula, we have;
Combination = 4
Thus, there are four number 3-coin combinations if we can choose from nickels, dimes, quarters, and half-dollars.
Read more about combinations at; https://brainly.com/question/4658834
#SPJ1
Answer:
12
Step-by-step explanation:
took the exam
Write an equation of the line that passes through $\left(-1,\ 7\right)$ and is perpendicular to the line $y=-\frac{1}{8}x-1$ .
Equation of the line which is passing through the points [tex](-1,7)[/tex] and perpendicular to the line [tex]$y=-\frac{1}{8}x-1$[/tex]
is [tex]y=8x+15[/tex]
How to find the equation which passing through one point [tex](-1,7)[/tex]and perpendicular to the equation [tex]$y=-\frac{1}{8}x-1$[/tex] ?
We know that the equation of line in form of slope and point is
[tex]y-y_{1} =m(x-x_{1} )[/tex]
So first equation of line which is passing through point [tex](-1,7)[/tex] is
[tex]y-7=m_{1} (x-(-1))\\y-7=m_{1}(x+1)[/tex].....(a)
Line [tex]$y=-\frac{1}{8}x-1$[/tex] perpendicular to the line (a)
And we know when two lines are perpendicular then
[tex]m_{1} m_{2} =-1[/tex]
So [tex]m_{1} =-1/m_{2}[/tex]
and we know [tex]m_{2} =-1/8[/tex]
So
[tex]m_{1} =-1/\frac{-1}{8} \\=-1*8/-1\\=8[/tex]
The equation of the line is
[tex]y-7=8(x+1)\\y-7=8x+8\\y=8x+8+7\\y=8x+15[/tex]
Learn more about the equation of the line is here :
https://brainly.com/question/28048706
#SPJ4
WILL MAKE BRAINLIEST!! Solve for b
Answer: 32
Step-by-step explanation:
The line is straight meaning 180 angle. When finding B you subtract 148 by 180 which would be 32.
Allen is 5 feet 9 inches tall, terrel is 6 feet 2 inches tall. what is the average height
The average height is [tex]5feet[/tex] and [tex]11.5[/tex] inches if Allen is [tex]5 feet 9 inches[/tex] tall and Terrel is [tex]6 feet 2 inches[/tex] tall.
How to find the average height ?
Allen height is [tex]5feet ,9inches[/tex]
Terrel height is [tex]6feet,2inches[/tex]
And we know that [tex]1feet=12inches[/tex]
So Allen height is
[tex]=5*12+9\\=60+9\\=69 inches[/tex]
And Terrel height is
[tex]=6*12+2\\=72+2\\=74inches[/tex]
Average of the Allen and Terrel height is
[tex]\frac{69+74}{2\\} \\=143/2\\=71.5inches[/tex]
And average height in feet is [tex]5feet,11.5inches[/tex]
Learn more about the average height is here:
https://brainly.com/question/28048854
#SPJ4
Find the greatest common factor of the
following monomials:
33c 27c^4
The greatest Common factor of monomials [tex]33c[/tex] and [tex]27c^4[/tex] is [tex]3c[/tex]
How we can find the GCF of monomials ?
Monomials are [tex]33c[/tex] and [tex]27c^4[/tex]
We can write the monomials in fraction form
[tex]33c=11*3*c[/tex]
[tex]27c^4=3*9*c*c*c*c[/tex]
----------------------------------
So we can see the common factor is [tex]3c[/tex]
The Greatest Common Factor of [tex]33c ,27c^4[/tex] is [tex]3c[/tex]
Learn more about the GCF here:
https://brainly.com/question/28048815
#SPJ4
Given the right triangle below, for the Pythagorean theorem, in which a 2 + b 2 = c 2, which side would represent the side "c." Hint: look at this triangle and the names of the angles.
Answer:
line segment AC (hypotenuse)
Step-by-step explanation:
The Pythagorean Theorem states that the sum of squares of the base/height of the triangle will equal the hypotenuse squared which is what c is equal to. So the c would represent the hypotenuse which is the side from the points A to C in the diagram.
i’ll give brainliest
Answer:
5
Step-by-step explanation:
-2x - y = -3
y = -3x + 2
-2x - (-3x + 2) = -3
-2x + 3x - 2 = -3
x = -1
y = -3*-1 + 2 = 5
Your family is going on vacation for two nights. You don't want to spend more than $135 on a hotel room for your vacation. Write an inequality to represent how much you can spend each night on your hotel room.
Answer:
Step-by-step explanation:
$135 is less than or equal to 2 nights at the hotel (h)
135</=2h
Fill out First row is standard form
Second row is Factored Form already done for you.
Answer:
(x + 6)(x - 2) = x² + 4x - 12
(x + 2)(x - 8) = x² - 6x - 16
(x + 6)(x - 6) = x² - 36
(x - 5)(x - 1) = x² - 6x + 5
(x - 4)(x - 10) = x² - 14x + 40
(x + 2)(x + 5) = x² + 7x + 10
Step-by-step explanation:
Use FOIL.
(x + 6)(x - 2) =
F - first: x × x = x²
O - outer: -2 × x = -2x
I - inner: 6 × x = 6x
L - last: 6 × -2 = -12
(x + 6)(x - 2) = x² - 2x + 6x - 12
Now, combine like terms.
(x + 6)(x - 2) = x² + 4x - 12
(x + 2)(x - 8) = x² - 6x - 16
(x + 6)(x - 6) = x² - 36
(x - 5)(x - 1) = x² - 6x + 5
(x - 4)(x - 10) = x² - 14x + 40
(x + 2)(x + 5) = x² + 7x + 10
A 12-ounce cup of juice contains 70 percent fruit and 30 percent water. If combined with 16 ounces of juice that contain 10 percent fruit and 90 percent water, what portion of the mixture is fruit?
Write the answer to the nearest hundredth
The portion of the mixture that is fruit to the nearest hundredth is 10.00 ounces
Percentage12 ounce juice:
Water = 30%Fruits = 70%= 70/100 × 12
= 0.7 × 12
= 8.4 ounces
Water = 30%
16 ounces;
Water = 90%Fruits = 10%= 10/100 × 16
= 0.1 × 16
= 1.6 ounces
Portion of mixture that is fruits = 8.4 ounces + 1.6 ounces
= 10.00 ounces
Learn more about percentage:
https://brainly.com/question/843074
#SPJ1
EXTRA POINTS HELP ASAP!
x + x/3 = 4/9
solve for x
Answer:
x=1
Step-by-step explanation:
1 + 1/3 = 4/9
1/3 also equals 3/9
hope this helped :)
Answer :
Value of x is 1 / 3Step-by-step explanation :
>> (3 × x + x / 3) = 4 / 9
>> (3x + x / 3) = 4 / 9
>> (4x / 3) = 4 / 9
>> 4x × 9 = 3 × 4
>> 36x = 12
>> x = 12 / 36
>> x = 6 / 18
>> x = 3 / 9
>> x = 1 / 3
A variable that can only take on specific numeric values is called a _____. Group of answer choices categorical variable discrete random variable continuous random variable categorical variable
A variable that can only take on specific numeric values is called A discrete random variable.
According to the statement
A variable which is used to select a specific numeric value and we have to find a those variable
A discrete random variable is one which may take on only a countable number of distinct values.
So, A variable that can only take on specific numeric values is called A discrete random variable.
Learn more about VARIABLES here https://brainly.com/question/5030068
#SPJ4
How many triangles are there?
Answer:
15 triangles.
Step-by-step explanation:
just count them eventually you will reach there.
A rectangular box with a square base, an open top, and a volume of 32,000 cm3 is to be made. What is the minimum surface area for the box
the minimum surface area for the box is 4800 cm².
Forming the Equation of SurfaceArea
It is given that the given rectangular box is square-based and top is open. hence, it consists of square and 4 rectangles.
Let the side of the square be a, and height of the box be h.
Then, the total surface area of the box will be given by,
S = a² + 4ah _________ (1)
Also, it is given that the volume of the box is, V = 32000 cm³
The volume of the rectangular box, V = a² h
Eliminating One of the Variables From the Equation
The volume of the rectangular box, V = a² h
⇒ a² h = 32000
⇒ h = 32000/a² _______ (2)
Substituting this value of h in equation (1), we get,
S = a² +4a(32000/a²)
S = a²+128000/a
Minimizing the Surface Area Equation
To find the minima, put, dS/da = 0
dS/da = 2a-128000/a²
⇒ 2a-128000/a² = 0
Multiplying the whole equation with a², we get,
2a³-128000 = 0
⇒ 2a³ = 128000
⇒ a³ = 128000/2
⇒ a³ = 64000
⇒ a = 40 cm
Calculating the Minimum Surface Area
From, equation (2), h = 32000/(40)²
h = 32000/1600
h = 20 cm
Now, substituting the computed values of a and h in equation (1), we get,
S = (40)² +4(40)(20)
S = 1600 +3200
S = 4800 cm²
∴ The minimum surface area of the box is 4800 cm².
Learn more about surface area here:
https://brainly.com/question/2835293
#SPJ4
) Suppose that we have a bucket of 30 red balls and 70 blue balls. If we pick 20 balls uniformly out of the bucket, what is the probability of getting exactly k red balls
Answer: 30%
Step-by-step explanation:
Whoever helps first get brainiest
Answer:
75
Step-by-step explanation:
Use PEMDAS (Perenthesis, Exponents, Multiply, Divide, Add, Subract)
45/5-6+24*3
9-6+24*3
9-6+72
3+72
75
Answer:
75
Step-by-step explanation:
PEMDAS:
45/5=9
24*3=72
9-6+72=75
Find the unknown angle
x
4
z
y
The function f(x) = 200(0.5)x/50 models the amount in pounds of a particular
radioactive material stored in a concrete vault, where x is the number of years since
the material was put into the vault. Find the amount of radioactive material in the
vault after 140 years. Round to the nearest whole number.
Answer:
29 years
Step-by-step explanation:
Given the function [tex]f(x)= 200(0.5)^{\frac{x}{50} }[/tex], where x stands for the number of years since the material was put into the vault, we can plug 140 into x to find the amount leftover.Another way of doing this is to change the function to [tex]f(x)=200(0.5^{\frac{1}{50} })^{x}[/tex] which are equivalent functions, and then plug 140 into x. This function is helpful if you also needed to find the rate. I'll use the 1st function because the question doesn't ask for the rate[tex]f(x)= 200(0.5)^\frac{140}{50}}[/tex]
From here I'll just use a calculator & get 28.7, or 29 years.
WILL VOTE BRAINLIEST FOR THE FIRST RIGHT ANSWER
Answer:
last choice
Step-by-step explanation:
The domain is the set of x values: from -3 to 3.
The range is the set of y values: from 1 to 10.
Answer: last choice
Daphne is calculating the total asset turnover ratio of a company. Under which accounting principle would she value the assets of the company at their original cost? A. accrual method of accounting B. historical cost accounting C. business entity concept D. going concern concept
The accounting principle she would use to value the assets of the company at their original cost is historical cost accounting.
What is historical cost accounting?Historical cost accounting is an accounting method for recording the value of fixed assets under US GAAP where the value of an asset on a balance sheet is equal to the cost of acquiring the asset.
To learn more about historical cost accounting, please check: https://brainly.com/question/17212027
#SPJ1
Answer this one please!
A rectangular field is to be enclosed by 400m of fencing. Use quadratic to
determine what dimensions will result in the maximum area inside the fence. Show
all your work.
Work:
First it's a rectangle so its area is equal to the product (multiplication) of both sides of the rectangle (dimensions). A = a x b = ab
NOW: knowing the the circumference or perimeter is equal to 400m, we can say that P = 400 = 2(a+b) = 2a + 2b since the given polynom is rectangle. 2a + 2b = 400 <==> 2a = 400 - 2b <==> a = 200 - b.
We gave an expression of a in function of b. Now we can replace the variable a by 200 - b in the first expression of the area.
A = ab = (200-b)b = 200b-b^2 = -b^2 + 200b
A is now a quadratic equation. We note A(b) the epression -b^2 +200b so:
A(b) = -b^2 +200b
We can already see that A is a quadratic equation of the form:
ax^2 + b + c. The a coefficient is negative which will lead to closed parabola when looking from the top. Now we need to find the maximum of the function by using the derivatives:
A(b) = -b^2 +200b <==> A'(b) = -2b + 200b
and -2b + 200b = 0 <==> b = 100;
So the derivative function crosses the x-axis at (100; 0).
So is increasing over ]-∞; 100] and decreasing over [100; ∞[.
We obtain a maxima on (100; x) with A. To find it we need to replace 100 by b in the function A.
A(b) = -b^2 + 200b
<==> A(100) = -100^2 + 200 x 100 = - 10000 + 20000 = 10000
Now let's find a: if b = 100 what equals a ?
We know that ab = 10000 <==> 100a = 10000 <==> a = 100;
And we verify that ab = 100 x 100 = 10000.
The rectangle needs to be a square to reach the maximum area of 10000m^2 or also 0.01 km^2.
Q.E.D.
what formula would i need to use to graph the relationship of volume of surface area of a cylinder?
The formula is illustrated below:
Volume of cylinder = πr²hSurface area = 2πrh + 2πr²How to illustrate the information?It should be noted that a cylinder simply means a three dimensional solid which holds two parallel bases that are joined by a curved surface.
In this case, it can be seen that the formula that can be used to calculate the volume and the surface area of the cylinder is illustrated above.
Learn more about cylinder on:
brainly.com/question/76387
#SPJ1
Which statement is the most appropriate comparison of the spreads?
Option D. The most appropriate comparison for the spread is that the interquartile range for town A, 15 degrees is less than that of B.
How to solve for the interquartile rangeThe inter quartile is solved as Q3 - Q1
This is seen as
For Town A,
30 - 15 = 15 degrees
For town B
40 - 20 = 20 degrees.
Hence we can see that 15 is less than 20, so town A is less than town B. The answer is option D.
Read more on interquartile range here:
https://brainly.com/question/8145995
#SPJ1
In the triangle below, what is the measure (in degrees) of angle X?
66°
55°
X
Answer:
59
Step-by-step explanation:
Angle degrees in a triangle add up to 180
66+55+x=180
121+x=180
x=59
Answer
59°
Step-by-step explanation:
A triangle's angles add up to 180°.
So to find the last angle of the shape, you need to add the given angles and then subtract the answer from 180° looking like this:
66° + 55° = 121°
180° - 121° = 59°
If p(a) = 2/3, p(b) = 4/5, and p(anb) = 3/5, what is P( AuB) ( the n is the arc shape direction, so is the u)
By the inclusion/exclusion principle,
[tex]P(A\cup B) = P(A) + P(B) - P(A\cap B)[/tex]
[tex]P(A\cup B) = \dfrac23 + \dfrac45 - \dfrac35[/tex]
[tex]P(A\cup B) = \dfrac{10}{15} + \dfrac{12}{15} - \dfrac9{15}[/tex]
[tex]P(A\cup B) = \boxed{\dfrac{11}{15}}[/tex]