Answer:
30
Step-by-step explanation:
Given:
Brian Height = 6 feet
Brian Shadow Height = 4 foot
Flag Shadow Height = 20 foot
Flag Height = Unknown ??
So we can use cross multiplication
6/4 = x/20
6×20/4 = x
6×20 =120
120÷4 = 30
So x= 30, which is the Flag Height
I wish that I helped you with this.
As per linear equation, the height of the flag pole is 30 feet.
What is a linear equation?A linear equation is an equation that has one or multiple variables with the highest power of the variable is 1.
Given, Brian is 6 feet tall and cast a 4 feet shadow.
Therefore, the ratio of Brain and it's shadow is
= 6/4
= 1.5
A flag pole cast a 20 foot shadow.
Therefore, the height of the flag pole is
= 20 × 1.5 feet
= 30 feet.
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C. If one cubic foot contains about 7.5 gallons, how many gallons of water are in the pool? (3 points) I Water: gallons 3. A rectangular cake pan is 13 inches by 9 inches by 2 inches. A round cake pan has a diameter of 8 inches and a height of 2 inches. Which will hold more batter, one rectangular pan or two round pans? (5 points)
Answer:
One Rectangular Pan
Step-by-step explanation:
Part C cannot be answered since the dimensions of the pool are not given. Please check the question.
The cake pans may be compared by calculating the volume of each shape:
Rectangular pan: Volume = Length x Width x Height
Volume Rectangle = (13")*(9")*(2") = 234 in^3
Round pan: Volume = [tex]\pi r^{2} h[/tex]
Volume Round = (3.14)*(4")^2(2") = 100.5 in^3
Two round pans will hold 2*(100.5 in^3) or 201 in^3 of batter
One rectangular pan holds 234 in^3.
Go with the rectangular pan if you want more cake.
6.10^5 is how many times as large as 3.10^3
Question 9 of 13
Which of the following scatterplots represents the data shown below?
(1,31), (2,8), (3, 38), (4, 14), (5, 22), (6, 31), (7, 27), (8, 47),
(9,34), (10,3), (11, 33), (12, 35)
The attached graph represents the scatter plot of the points
How to determine the scatter plot?The lists of options are not given. So, I will plot the points and upload the scatter plot as an attachment.
The points are given as:
(1,31), (2,8), (3, 38), (4, 14), (5, 22), (6, 31), (7, 27), (8, 47), (9,34), (10,3), (11, 33), (12, 35)
The above points would be plotted using the following scale:
x: axis -> 1 interval = 10 unitsy: axis -> 1 interval = 10 unitsSee attachment for the scatter plot
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Which is true about the functional relationship shown in the graph?
Cost of Apples
0
2
3
Weight (pounds)
A. The cost of the apples is a function of their weight.
B. The weight of the apples is a function of the number of apples.
C. The cost of the apples is a function of the type of apples.
D. The weight of the apples is a function of their cost.
Cost ($)
28882889882
110
100
90
80
70
50
40
30
20
10
its b Answer:
Step-by-step explanation:
The cost of the apples is a function of their weight option (A) is correct because the independent variable (x) is the weight of the apples.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
The options are:
A. The cost of the apples is a function of their weight.B. The weight of the apples is a function of the number of apples.C. The cost of the apples is a function of the type of apples.D. The weight of the apples is a function of their cost.From the graph:
The y-axis is representing the cost(c) of the apples in dollars and
The x-axis is representing the weight(w) of the apples in pounds.
c = f(w)
The independent variable (w) is the weight of the apples
The dependent variable (c) is the cost of the apples
Thus, the cost of the apples is a function of their weight option (A) is correct because the independent variable (w) is the weight of the apples.
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Simplify:
-11√21-11√/21
Step-by-step explanation:
by using the radical and suds rule
what is 3+7, i got 346 but i dont know if its right
Answer:
10
Step-by-step explanation: The sum of 3+7 is 10
Answer:
10
Step-by-step explanation:
3+7 is 10
if you add 1 on to 7 three times, we get
8,9,10
(i know this is a troll question lol)
hope this helps!
give brainliest :)
A positive; 1 student; $350
B negative; 1 student; $350
C positive; 1 student; $500
D negative; 1 student; $600
Two sides of an acute triangle meaure 5 inches and 8 inches. The length of the longest side is unknown. What is the greatest possible whole-number length of the unknown side?
The greatest whole possible whole number length of the unknown side is 9 inches.
How to identify if a triangle is acute?Let us have:
H = biggest side of the triangle
And let we get A and B as rest of the two sides.
Then we get:
If
[tex]A^2 + B^2 < C^2[/tex]
then the triangle is acute
Two sides of an acute triangle measure as 5 inches and 8 inches
The length of the longest side is unknown.
We have to find the length of the unknown side
WE know that the longest side of any triangle is a hypotenuse
For an acute triangle we know:
[tex]A^2 + B^2 < C^2[/tex]
Here in this sum,
a = 5 inches
b = 8 inches
c = ?
Substituting we get,
[tex]A^2 + B^2 < C^2\\\\5^2 + 8^2 < C^2\\\\25 + 64= C^2[/tex]
c < 9
Hence, The greatest whole possible whole number length of the unknown side is 9 inches.
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quadratic formula
[tex] {4v}^{2} - 16v + 7 = 0[/tex]
Please help
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{4}v^2\stackrel{\stackrel{b}{\downarrow }}{-16}v\stackrel{\stackrel{c}{\downarrow }}{+7}=0 \qquad \qquad v= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ v= \cfrac{ - (-16) \pm \sqrt { (-16)^2 -4(4)(7)}}{2(4)} \implies v= \cfrac{ 16 \pm \sqrt { 256 -112}}{ 8 } \\\\\\ v=\cfrac{16\pm\sqrt{144}}{8}\implies v=\cfrac{16\pm 12}{8}\implies v= \begin{cases} \frac{7}{2}\\[1em] \frac{1}{2} \end{cases}[/tex]
Which equation represents a line that passes through (4, left-parenthesis 4, StartFraction one-third EndFractin right-parenthesis.) and has a slope of StartFraction 3 Over 4 EndFraction.?
y – y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis. = y minus StartFraction 3 Over 4 EndFraction equals StartFraction one-third EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)
y – y minus StartFraction one-third EndFraction equals 4 left-parenthesis x minus StartFraction 3 Over 4 EndFraction right-parenthesis. = y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)
y – y minus StartFraction one-third EndFraction equals 4 left-parenthesis x minus StartFraction 3 Over 4 EndFraction right-parenthesis. = 4(x – )
y – 4 = y minus 4 equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus StartFraction one-third EndFraction right-parenthesis.(x – )
The equation represents a line that passes through(4, 1/3) and has a slope of 3/4 option A; y - 1/3 = 3/4 ( x - 4).
What is the Point-slope form?
The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
we know that
The equation of the line into point-slope form is equal to
y-y₁ = m(x-x₁)
we have
(x₁, y₁) = (4, 1/3)
m = 3/4
substitute the given values
y-y₁ = m(x-x₁)
y - 1/3 = 3/4 ( x - 4)
therefore,
y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)
Thus, option A is correct.
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Correct to four significant figures (573.06*184.25)
105600
Step-by-step explanation:Significant figures are used in scientific fields to show precision.
Multiplication
When rounding to significant figures you need to first do the operation shown. So, before we round we need to multiply 573.06 * 184.25.
573.06 * 184.25 = 105586.305This is an important step whenever you are rounding to significant figures. If you preround, you will be left with the wrong answer.
Significant Figures
Now that we have the answer before rounding, we need to know how to determine significant figures. If there is a decimal point present, then start counting significant figures at the first non-zero digit from the left.
For example:
The number 539.760 has 6 significant figuresIf the decimal point is not present, then start counting significant figures from the first non-zero digit from the right.
For example:
The number 280020 has 5 significant figuresRounding
Finally, we can round our answer. Firstly, there are more than 4 digits before the decimal point. This means that our rounded answer will not have a decimal point, so when counting sig figs we will start from the right. Remember, even when rounding, a number should always have the same number of digits before the decimal point, even if they are not all significant.
Since we are rounding to 4 sig figs, we need to look at the 5th digit from the left, which is 8. This means we will round up.
So, write the first 4 digits of the number, but round the last one up. Then, write the remaining digits before the decimal point as 0.
105586.305 rounds to 105600write an article for publication into the school's magazine on three effects of indiscipline and suggest about three ways of arresting the menace
Answer:
East West Point E.W English School's effects and solutions of indiscipline Effects.peer influence.Teacher's immoral relationship.Poor attitude of teachers to work Solutions .Review children's act to incorporate emerging issues.Indiscipline students be absorbed into correctional schools.That student involved in criminal activities be treated as criminals and dealt with in accordance with lawStep-by-step explanation:.......GIVING OUT BRAINLIEST!
2. Which integers do you use for counting?
Answer:
Whole integers
Step-by-step explanation:
0, 1, 2, 3, 4, 5... are all whole numbers, or the counting numbers. If we didn't specify "whole", then that would also include decimals, and we don't count usually with decimals.
Hope this helps!
Write a power function representing the verbal statement. (Let k represent the constant of proportionality)
A quantity W is inversely proportional to the square root of a quantity n.
W(n)=
Answer:
W = k·n^(-1/2)
Step-by-step explanation:
When two quantities are proportional, their relationship can be described by the linear equation y = kx, where k is the constant of proportionality.
Saying two quantities are inversely proportional is the same as saying one is proportional to the inverse of the other. Then "inversely proportional to the square root" is the same as "proportional to the inverse of the square root."
__
W is inversely proportional to the square root of n, so we have ...
[tex]W=k\cdot\dfrac{1}{\sqrt{n}} = \dfrac{k}{n^{\frac{1}{2}}}\\\\\boxed{W=kn^{-\frac{1}{2}}}[/tex]
_____
Additional comment
The rules of exponents let us write the square root as a fractional power, and the inverse as a negative power. Thus our power function ends up with a negative fractional power.
The Power function representing the verbal statement is W = k.[tex]n^{1/2}[/tex].
What is the Power function?A power function is in the form of f(x) = kxⁿ, where k = all real numbers and n = all real numbers. You can change the way the graph of a power function looks by changing the values of k and n.
When two quantities are proportional, their relationship can be described by the linear equation y = kx, where k is the constant of proportionality.
Now "inversely proportional to the square root" is the same as "proportional to the inverse of the square root."
According to question,
W α 1/√n
W = k/√n
W = k.[tex]n^{-1/2}[/tex]
Thus, the Power function representing the verbal statement is W = k
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Question 8
Select the solution to the following system of equations:
3x+2y=0
-x-y=1
Answer:
-x-y=1
-x= 1+y
x= -1-y
3x+2y=0
3(-1-y) +2y=0
-3-3y+2y=0
-3-y=0
y= -3
x= -1-(-3)
x= -1+3
x= 2
Therefore, x= 2 and y= -3
Manny drove 385 miles in 7 hours. How far will he go in 12 hours?
Answer:
660 miles.
Step-by-step explanation:
385 m/7 h = 55 m/h
55 m/h * 12 h = 660 m
pless help me and right answers
Answer:
b
Step-by-step explanation:
ig becuase the line goes through 0,0 so it starts from negative
Mission Company is preparing its annual profit plan. As part of its analysis of the profitability of individual products, the controller estimates the amount of overhead that should be allocated to the individual product lines from the information provided below. (CMA based)
Wall Mirrors Specialty Windows
Units Produced 40 20
Material moves per product line 5 15
Direct labor hours per product line 200 300
Budgeted material handling costs: $50,000
Under a traditional costing system that allocates overhead on the basis of direct labor hours, the materials handling costs allocated to one unit of Specialty Windows would be:
Answer:
Arrange the following number in descendig otder
find the next 3 terms of the following sequences a.4,9, 16,25 b.1,4,9, 16 c.1,4,7,10 d.3,9, 15, 21
Answer:
for a) the next three would be 36, 49 and 64
for b) the next three would be 25, 36 and 49
for c) the next three would be 13, 16, and 19
for d) the next three would be 27, 33, and 39
Step-by-step explanation:
Answers:
(a) 36, 49, 64(b) 25, 36, 49(c) 13, 16, 19(d) 27, 33, 39========================================================
Explanations:
(a) The given terms 4,9,16,25 are perfect squares (eg: 16 = 4^2 and 5^2 = 25). The next set of perfect squares are 6^2 = 36, 7^2 = 49 and 8^2 = 64.(b) Similar to the previous part. This time the next three terms are 25, 36, and 49 because 5^2 = 25, 6^2 = 36 and 7^2 = 49.(c) We start at 1 and add 3 each time. This sequence is arithmetic. The next term after 10 is 10+3 = 13. After that is 13+3 = 16. Finally 16+3 = 19 is the last term we need.(d) Similar to part (c) earlier. This time we start at 3 and add 6 each time. The next three terms are 21+6 = 27, and 27+6 = 33, and finally 33+6 = 39What are the solutions of the equation x^4-9x^2+8=0? Use u substitution to solve.
Answer:
The answer is the second option
Step-by-step explanation:
Let u=x^2.
[tex]( {x}^{2} ) {}^{2} - 9( {x}^{2} ) + 8( {x}^{2} ) {}^{0} [/tex]
[tex] {u}^{2} - 9u + 8[/tex]
[tex](u - 1)(u - 8)[/tex]
[tex]u = 1[/tex]
[tex]u = 8[/tex]
Set this equal to x^2
[tex] {x}^{2} = 1[/tex]
[tex]x = 1[/tex]
or
[tex]x = - 1[/tex]
[tex] {x}^{2} = 8[/tex]
[tex]x = 2 \sqrt{2} [/tex]
or
[tex]x = - 2 \sqrt{2} [/tex]
A population of sea turtles decreases by 25% per year. The population size is currently 1,024. Which expression calculates the population x years From now?
The expression calculates the population x years from now will be given as y = 1024 (0.75)ˣ.
What is an exponent?Consider the function:
y = a (1 ± r) ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, then there is exponential growth happening by r fraction or 100r %
If there is a minus sign, then there is exponential decay happening by r fraction or 100r %
The population of sea turtles decreases by 25% per year. The population size is currently 1,024.
Let y be the population of sea turtles and x be the number of years.
Then we have
y = 1024 (1 - 0.25) ˣ
y = 1024 (0.75) ˣ
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Find the slope(20 points)
The slope of a line is the rate of change of the line. The slope of the line is 1
Slope of a lineThe slope of a line is the rate of change of the line. The slope os calculated as:
Slope = y2-y1/x2-x1
Using the coordinate points (-1, 0) and (0, 1)
Substitute
Slope = 1-0/0-(-1)
Slope = 1/1
Slope = 1
Hence the slope of the line is 1
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Pablo Started to run on a treadmill after its timer for
77 minutes. The display says that he has finished 54% of his fun.
How many minutes have gone by?
Work Shown:
54% = 54/100 = 0.54
54% of 77 = 0.54*77 = 41.58
That rounds to 42 if your teacher wants you to round to the nearest whole minute.
What is the sum of −4/5 and 2/3?
Answer:
-0.33333 (3 is repeating )
Step-by-step explanation:
What is the area of a triangle whose vertices are X(1, 1), Y(3, -1), and Z(4, 4)?
Please respond within 24 hours.(Worth 100 points becasue of how much I need it.)
Answer:
Step-by-step explanation:
A point has been translated left and down. Based on the graph, which could be true? Check all that apply. A is the image of C. A is the image of D. B is the image of D. B is the image of E C is the image of A. C is the image of D. D is the image of E. please please hurry with the answers.
From the image that we have here, the translation of the image would be:
B is the image of D. B is the image of E.C is the image of D.What is translation in mathematics?In the field of mathematics, this is the type of transformation which would take points in an image and move it in similar distance and direction.
It has to do with the movement of points in an horizontal manner or in a vertical manner.
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the graph of y = cos(x) was shifted downwards by 3 units, shrink horizontally by a fourth of a unit, inverted horizontally and shifted 60° to the left. if it has an amplitude of 5 units, write the equation of the resulting graph.
Using translation concepts, it is found that the equation of the resulting graph is given by:
[tex]y = 2.5(\cos{(4x - 60^\circ)} - 3)[/tex]
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is given by:
[tex]y = \cos{x}[/tex]
The transformations are as follows:
Shift down of 3 units, hence [tex]y = \cos{x} - 3[/tex].Shrink horizontally by a fourth of a unit, hence [tex]y = \cos{(4x)} - 3[/tex].Inverted horizontally, hence [tex]y = \cos{-4x} - 3 = \cos{(4x)} - 3[/tex], as the cosine function is even.Shifted 60° to the left, hence [tex]y = \cos{(4x - 60^\circ)} - 3[/tex]Amplitude of 5 units, hence the function is multiplied by 5/2 = 2.5, that is, [tex]y = 2.5(\cos{(4x - 60^\circ)} - 3)[/tex].More can be learned about translation concepts at https://brainly.com/question/4521517
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Mr. Jefferson is building a seesaw for the playground using the diagram shown. In the diagram, the seesaw board is parallel to ground level and the triangle is an isosceles triangle. What is m1?
The angle m1 will be equal to 50°. The correct answer is option A.
The complete question is as below:-
Mr Jefferson is building a seesaw for the playground using the diagram shown. (see picture) In the diagram, the seesaw board is parallel to ground level and the triangle is an isosceles triangle.
What is m1?
A. 50º
B. 65º
C. 115º
D. 130º
What is trigonometry?Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
We can find the angle using the opposite angles theorem. When two are lines are crossed, there are four angles formed between them, and the opposite angles will be always equal.
Now, since the seesaw board is parallel to the ground, we can deduct (applying the opposite angles theorem) that both angles formed at the base of the triangle are equal to 65°.
Also, we must remember that the sum of the three interior angles of a triangle will be always equal to 180°, so:
m1 = 180 - ( 65 + 65 0
m1 = 50°
Therefore the angle m1 will be equal to 50°. The correct answer is option A.
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a rectangle with a perimeter of 30 centimeters is twice as long as it is wide. what is the area of the rectangle in square centimenters?
Answer:
50cm squared
Step-by-step explanation:
Imagine the width is 'a'
Then the length will be 2a as it's twice as wide as it's long.
The formula for perimeter is 2(L+W)
If we subsitute the algebra/numbers in we get
P = 2(L+W)
30 = 2(2a+a)
30 = 2(3a)
30 = 6a
5 = a
a = 5cm
Then the area is the following
A = LW
A = 2a(a)
A = (2(5))(5)
A = 10(5)
A = 50cm squared
I have it on the photo please help
Since the line is a solid line and the graph is shaded below, the required equation will be 3y- x≤ -4
Equation of a lineThe standard equation of a line in slope intercept form is expressed as y = mx+b
Using the coordinate points (4,0) and (1, -1)
Determine the slope
Sope = -1/-3
Slope = 1/3
For the y-intercept
0 = 1/3(4) + b
b = -4/3
Substitute
y = 1/3x - 4/3
Rewrite in standard form
3y = x - 4
3y - x = -4
Since the line is a solid line and the graph is shaded below, the required equation will be 3y- x≤ -4
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