On solving the provided question we can say that area of rectangle according to the client = l*b = 5*12 = 60 feet sq.
What is rectangle?A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.
the area of rectangle = l*b = 8*5 = 40 feet sq.
area of rectangle according to the client = l*b = 5*12 = 60 feet sq.
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Answer:
0.8 and 5/6
Step-by-step explanation:
(b) 3, 3, 5 and
HOMEWORK: Complete the activity in your classwork e
the questions before you consult the memorandum att
ACTIVITY 1:
x
.) Find all the prime factors of each of the following
a) 825
(b) 999
-) 538
(d) 113
Answer:
a 3,5,5,11
b 3,3,37,3
- 2,269
d 113, as it is a prime factor
Hii can someone who is really good at math please help me with these 2 math questions. I'm struggling with them!!
Bob needs to make a total of 50 deliveries this week. So far he has completed 46 of them. What percentage of his total deliveries has Bob completed?
Answer:
92%
Step-by-step explanation:
The percentage is 46/50 = (46 x 2)/(50 x 2) = 92/100 = 0.92 or 92%
92%
Step-by-step explanation:Known :Bob needs to make a total of 50 deliveries this weekHe has completed 46 of themAsked :Percentage of his total deliveries has Bob completedSolution :46/50
= (46 x 2)/(50 x 2)
= 92/100
= 92%
Conclusion :The Percentage of his total deliveries has Bob completed is 92%
can you help me with my work
A is False
B is true
C is False
D is False because the table is in meters no in feet
E is True
F is False
If u understand this May u help me please
Answer:
Sure what you need help with?
Step-by-step explanation:
phone models a particular cell phone company offers models of phones, each in different colors and each available with any one of calling plans. how many combinations are possible?
The number of combinations that are possible for 4 cell phone models of 6 colors with 5 calling plans is 120 .
We have to find the total number of combinations of cell phone models, colors, and calling plans,
So , we multiply the number of choices for each category.
By Using the multiplication principle of counting:
⇒ Total number of combinations = (number of phone models) × (number of colors) × (number of calling plans) ;
⇒ 4 × 6 × 5
⇒ 120
Therefore, there are 120 possible combinations of cell phone models, colors, and calling plans from this particular cell phone company.
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The given question is incomplete , the complete question is
A particular cell phone company offers 4 models of phones, each in 6 different colors and each available with an one of 5 calling plans. How many combinations are possible ?
Maria has three identical apples and three identical oranges. How many ways are there for her to distribute the fruits among her four friends if she doesn't give Jacky any oranges
There are 10 ways for Maria to distribute the fruits among her four friends if she doesn't give Jacky any oranges.
If Maria doesn't give any oranges to Jacky, she must give him all three apples. Then she is left with three oranges to distribute among the remaining three friends.
We can think of this as placing the oranges into three boxes (one for each friend), with the restriction that each box must contain at least one orange (since we cannot leave any oranges for Jacky).
This problem can be solved using the stars and bars method. We can think of the oranges as "stars" and the boxes as "bars" separating them. We need to place two bars to create three boxes. The number of ways to do this is:
(3 + 2) choose 2 = 5 choose 2 = 10
Therefore, there are 10 ways for Maria to distribute the fruits among her four friends if she doesn't give Jacky any oranges.
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Work out length of BC
Answer:
assume \(13 = z \\ 8 =x \\ bc = y\)
by phytagorean theorem
\({y}^{2} + {x}^{2} = z^{2} \)
so
\(bc = y = \sqrt{ {z}^{2} - {x}^{2} } = \sqrt{169 - 64} = \sqrt{105} \)
\( \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }\)
\( \large\underline{ \boxed{ \sf{✰\:Note }}}\)
★ 1st let's know what is the given figure is and it's related concepts for solving !
➣ Given Triangle is a right angled triangle ➣ It is having 3sides let's know what are the name of these sides ➣ 1st AB is know as hypotenuse➣ 2nd AC and is called Base of the triangle➣ 3rd BC whích is know as perpendicular of the triangle➣ Hypotenuse(H):-The side of a right triangle opposite the right angle.➣ Perpendicular(P):- Exactly upright; extending in a straight line. ➣ Base(B):- it also known as the side opposite to hypotenuse➣Perpendicular and base are know as the leg of right angled triangle➣ We can easily find length of one missing side by using a theorem name as "Pythagorean theorem"➣ Pythagorean theorem :- A mathematical theorem which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of those of the two other sides★ Note :- The Pythagorean theorem only applies to right triangles.\( \rule{70mm}{2.9pt}\)
★ Writing this theorem mathematically ★
\( { \boxed{✫\underline{ \boxed{ \sf{Pythagorean \: theorem \: ⇒ {Hypotenuse }^2={ Base }^2+ {Height }^2}}}✫}}\)
★ Here ★
➣ Base (AC)= 8cm➣ Hypotenuse (BA)= 13cm\( \rule{70mm}{2.9pt}\)
✝ Assumption ✝➣ let perpendicular/length ( BC ) = "x"\( \boxed{ \rm{ \pink ➛BA^2= AC^2+BC^2}}\)
\( \rule{70mm}{2.9pt}\)
✝ let's substitute values ✝\(\rm{ \pink ➛13^2= 8^2+x^2} \\ \rm{ \pink ➛169 = 64 + {x}^{2} } \\ \rm{ \pink ➛169 - 64 = {x}^{2} } \\ \rm{ \pink ➛105 = {x}^{2}} \\ \rm{ \pink ➛ \sqrt{105} \: or \: 10.2469 = x} \\ \)
\( \rule{70mm}{2.9pt}\)
Hence length (BC) in the given triangle is of
\( { \boxed{✛\underline{ \boxed{ \sf{\sqrt{105} cm\: or \: 10.2469cm\green✓}}}✛}}\)
\( \rule{70mm}{2.9pt}\)
Hope it helps !
An eagle is flying at an altitude of 280 feet. The angle of depression from the eagle to a mouse on the ground is 15º. What is the direct line distance from the eagle to the mouse? Round answer to the nearest thousandth
Answer:
Step-by-step explanation:
X = distance between eagle and mouse.
sin(15°) = 280/x
X = 280/sin(15°) = 1,081.837 ft
If AB is parallel to CD and the slope of AB is -3, what is the slope of CD
Answer:
-3
Step-by-step explanation:
The slopes of parallel lines are equal.
If two lines are parallel (that means they are at the same angle, they are always the same distance apart and they never cross), then they have the same slope. Both lines have slope -3
Answer:
-3
Step-by-step explanation:
There is a rule in math that if two slopes are parallel, they must have the same slope. Let's answer the question with this first.
So AB is parallel to CD, meaning they must have the same slope. If AB's slope is -3, then so must CD's. That's the answer to the question.
Coming back to the parallel slope rule, why does this work? Well, if two lines are parallel, it means they never will touch each other, meaning they rise, fall, bend, curve, etc... at the same rate. The slope is the change in how much the line rises divided by the change in how much it runs (moves horizontally). That proves the rule.
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WILLL GIVE BRAINLIEST!!! A concrete pillar has the shape of a cylinder. It has a diameter of 4 meters and a height of 5 meters. If concrete costs $107 per cubic meter, how much did the concrete cost for the pillar? Use 3.14 for ,pie and do not round your answer.
Answer:
$6719.60
Step-by-step explanation:
You want the cost of concrete at $107 per cubic meter for a cylinder 4 meters in diameter and 5 meters high.
VolumeThe volume of the cylinder is given by ...
V = πr²h = (π/4)d²h
V = (3.14/4)(4 m)²(5 m)
CostThe cost is the product of the volume in cubic meters and the cost per cubic meter:
Cost = (3.14/4)(4 m)²(5 m)($107/m³) = $6719.60
The concrete cost for the pillar was $6719.60.
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Find the area of the surface generated when the given curve is revolved about the given axis. y=1/16(e^8x+e^−8x),
for
−3≤x≤3;
about the x-axis The surface area is
square units.
In this problem, the lower limit of integral is -3 and the upper limit of integration is 3.
We can use the formula for the surface area of a solid of revolution generated by a curve revolving around a given axis. The formula is S = 2π ∫ a b y dx, where a and b are the lower and upper limits of integration, and y is the height of the curve at x. In this problem, the lower limit of integration is -3 and the upper limit of integration is 3. Substituting y = 1/16(e^8x + e^-8x) into the equation gives S = 2π ∫ -3 3 (1/16(e^8x+e^-8x)) dx. Integral this expression gives S = 10512π.
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A certain school's enrollment increased 6% this year over last year's enrollment. If the school now has 1378 students enrolled, how many students were enrolled last year?
A. 1295
B. 1300
C. 1350
D. 1460
E. 1500
If the school now has 1,378 students enrolled, last year, the number of students enrolled was B. 1,300.
How is the number of students determined?Using the mathematical operations of addition, subtraction, division, and multiplication, we can determine the number of students.
Mathematical operations help us to determine unknown values, given a known domain.
Data and Calculations:Increase in school enrollment over last year's = 6%
Enrollment for the current year = 1,378
Let last year's enrollment = 100%
And the current year's = 1.06 (100 + 6)
Therefore, the enrollment last year = 1,300 (1,378/1.06)
Thus, the enrollment (number) last school year was B. 1,300.
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A rectangular prism has a base that is
congruent to the base of a rectangular
pyramid. The heights, h, of the two figures
are also congruent. If the volume of the
pyramid is 100 inches, which expression can
be used to find the volume of the prism?
Chapter 7: Right Triangle Relationships and
Trigonometry
I’m doing a live in at 11 and I need someone to help me solve problems as I go along if you know how to do these lessons. Type your insta or something if you can help
Answer:
the square of greater side is equal to the sum of two other side in right angled rectangle
Step-by-step explanation:
also known as trigonometry of Pythagoras.
the histogram shows some information about the ages of the 134 members of a sports club
Note that the estimate of the number of females who are over 50 years of age based on the histogram are 7.
Why is this so?We can work out the frequency from the histogram by doing:
Frequency = Frequency Density x Group Width
Now lets find the number of people above the age of 50, which is 2 area in the histogram.
Area 1 = 1.4 x 10 = 14
Area 2 = 0.7 x 30 = 21
Add to the total over 50
Total =
14 + 21 = 35
Recall that 20% are female so
20% of 35 = 7
Therefore, the number of females who are over 50 years of age based on the histogram are 7.
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What additional information is needed to prove that the
triangles are similar?
To prove AXYZ - AMNO using SSS, you need to
know that
Now that you know the length of XZ, you need to know
that angle O is congruent to v to prove AXYZ- AMNO using SAS.
Can someone explain please!!!
Answer:
Step-by-step explanation:
To prove ΔXYZ ~ ΔMNO using the property of SSS, we need to know that All corresponding sides of these triangles are proportional.
Similarly, If we know the length of side XZ then addition information we need to know that angle O is congruent to angle Z and length of sides YZ, MO and NO to prove ΔXYZ ~ ΔMNO by SAS property.
Angle O is the contained angle between the sides MO and NO.
Answer:
1. MN = 6 and XZ = 17.5
2. angle Z
Step-by-step explanation:
Sorry if this is a late answer but I hope this helps :)
In ∆ABC,|AB|=10cm and|AC|=18cm.M is the midpoint of BC and the bisector of angle A meets side BC at N.If |MN|=2cm , calculate |BC|
Step-by-step explanation:
i hope i have been useful buddy.
good luck ♥️♥️♥️♥️♥️.
HELP ME PLS, WILL MARK AS BRAINLIEST
Answer:
2,562,300 Litres per year (Pls forgive me if I'm wrong, I was doing this quickly during class.)
Step-by-step explanation:
(Forgive the first part of the PDF, the answer is on the second page.)
-Hope this helped.
I NEED HELP ASAP!!!! PLS HELP ME!!!!
What is the missing number in the factor tree?
A) 9
B) 8
C) 5
D) 2
The missing factor is 9.
Option A is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The factors of 360 are 10 and 36.
360 = 10 x 36
The factors of 10 are 2 and 5.
10 = 2 x 5
The factors of 36 are 4 and 9.
36 = 4 x 9
The factors of 4 are 2 and 2.
The factors of 9 are 3 and 3.
Thus,
9 is the missing factor.
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which expressions are equivalent to z (z 6)z (z 6)z, plus, (, z, plus, 6, )
The expression is equivalent to "\(z^4 * (z + 6)^2 + (z + 6)\)".
Why are the expressions "z (z + 6)z (z + 6)z + (z + 6)" and "\(z^4 * (z + 6)^2 + (z + 6)\)" equivalent?To clarify, I understand the expression as: "z * (z + 6) * z * (z + 6) * z + (z + 6)". Let's break down the expression and simplify it step by step:
Distribute the multiplication:
z * (z + 6) * z * (z + 6) * z + (z + 6)
becomes
z * z * z * (z + 6) * (z + 6) * z + (z + 6)
Combine like terms:
z * z * z simplifies to \(z^3\)
(z + 6) * (z + 6) simplifies to (z + 6)^2
The expression now becomes:
\(z^3 * (z + 6)^2 * z + (z + 6)\)
Multiply \(z^3\) and z:
\(z^3 * z\) simplifies to \(z^4\)
The expression becomes:
\(z^4 * (z + 6)^2 + (z + 6)\)
So, an equivalent expression to "z (z + 6)z (z + 6)z + (z + 6)" is "\(z^4 * (z + 6)^2 + (z + 6)\)".
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the readability of a balance is the smallest increment that can be read on that balance. what is the readability of a double-pan torsion balance (in milligrams)
The readability of a double-pan torsion balance is typically very small, usually in the range of a few milligrams (mg). This is because the double-pan torsion balance is a highly sensitive instrument used to measure very small masses.
The readability of a double-pan torsion balance is determined by the sensitivity of the torsion spring which is used to measure the mass on the scale pans. The higher the sensitivity of the torsion spring, the higher the readability of the double-pan torsion balance. The readability of a double-pan torsion balance is typically in the range of 0.1 to 0.5 mg.
This allows the balance to measure very small increments with a high degree of accuracy and precision. The readability of a double-pan torsion balance is critical for accurate measurements of very small masses, such as in the pharmaceutical, chemical and food industries.
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calculate the average fixed cost at the shanghai factory if the 2020 output level (= 35,000 cars annually) were maintained for 10 years.
Fixed costs are expenses that remain constant regardless of the level of production. The calculation of average fixed costs (AFC) is obtained by dividing the total fixed cost by the number of units produced.
AFC provides the amount per unit that the company will spend on fixed costs to produce a given quantity of output. Therefore, to calculate the average fixed cost at the Shanghai factory if the 2020 output level (= 35,000 cars annually) were maintained for ten years, we will first calculate the total fixed costs.
The formula for calculating average fixed cost (AFC) is:
Average Fixed Cost (AFC) = Total Fixed Cost / Quantity ProducedTotal Fixed Cost is obtained by multiplying the fixed cost per unit with the total number of units produced.
Total Fixed Cost (TFC) = Fixed Cost per Unit × Number of Units ProducedThe problem does not provide any information about the fixed cost per unit, which is why it cannot be calculated.
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To calculate the average fixed cost at the Shanghai factory, divide the total fixed costs by the output level. For a given output level of 35,000 cars annually maintained for 10 years, the average fixed cost would be $285.71 per car.
Explanation:To calculate the average fixed cost at the Shanghai factory, we need to divide the total fixed costs by the output level. Since the question specifies that the output level is 35,000 cars annually and we want to maintain this level for 10 years, we can calculate the average fixed cost as follows:
Calculate the total fixed cost for the 10 years by multiplying the fixed cost per year by the number of years. Let's say the fixed cost per year is $1 million. So, the total fixed cost for 10 years would be $1 million x 10 years = $10 million.Divide the total fixed cost ($10 million) by the output level (35,000 cars) to get the average fixed cost per car.So, the average fixed cost at the Shanghai factory would be $10 million / 35,000 cars = $285.71 per car.Learn more about average fixed cost here:
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pls help me with this
btw the question
asks what v(-2) means in this situation
Answer:
20
Step-by-step explanation:
PLEASE ANSWER ASAP WILL GIVE POINTS!!!!
B. 2EF3 + 3G2H --> 6GF + E2H3
b.The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank). c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time____ (mins) (enter the numbers only)
(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.
To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.
If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).
If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.
Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).
(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.
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Complete question:
The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.
(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).
c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)
find an equation for the perpendicular bisector of the line segment whose endpoints are (-7, 1) and (-1,-3)
Answer:
2y + x = -5Step-by-step explanation:
The standard form of the equation is expressed as y = mx+c
m is the slope
c is the y-intercept
Given the coordinate points (-7, 1) and (-1,-3)
m = y2-y1/x2-x1
m = -3-1/1+7
m = -4/8
m = -1/2
Get the intercept
y = mx+c
1 = -1/2(-7) + c
1 = 7/2 + c
c = 1-7/2
c = -5/2
Get the equation
y = mx+c
y = -1/2 x - 5/2
2y = -x - 5
2y + x = -5
Hence the required equation is 2y + x = -5
determine whether the statement is true or false. there exists a function f such that f(x) < 0, f '(x) > 0, and f ''(x) < 0 for all x. a. true b. false
The statement “there exists a function f such that f(x) < 0, f’(x) > 0, and f”(x) < 0 for all x” is false.
To understand why this statement is false, we must first understand what the symbols mean. The symbol f(x) refers to a function of x, and the symbols f’(x) and f”(x) refer to the first and second derivatives of the function, respectively.
The statement is saying that for all x, the function f(x) will be less than 0, the first derivative f’(x) will be greater than 0, and the second derivative f”(x) will be less than 0.
To show that this statement is false, we need to find an example of a function where this is not the case. Let’s consider the function f(x) = x³. At x = 0, this function is equal to 0, and so f(x) < 0 is not true. Additionally, the first derivative at x = 0 is f’(0) = 0, which is not greater than 0. Thus, the statement is false.
We can also show that this statement is false by looking at the graph of the function f(x). A function with the properties given in the statement would have a graph that looks like a “U” shape, with a minimum point at the origin. However, this is not the case for the function f(x) = x³. The graph of this function is a parabola, which does not have the desired shape.
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fifa is expected to make how much revenue from the world cup?
Answer:
Step-by-step explanation:
$4.7 billion ..
Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius
The volume of a cylinder with a diameter of 6 inches and a height that is three times the radius is 254.50 cubic inches.
How to calculate the volume of a cylinder?Mathematically, the volume of a cylinder can be calculated by using this formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.Note: Radius = diameter/2 = 6/2 = 3 inches.
Height = 3r = 3(3)
Substituting the given parameters into the volume of a cylinder formula, we have the following;
Volume of a cylinder, V = 3.142 × 3² × 3(3)
Volume of a cylinder, V = 254.50 cubic inches.
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