Answer:
P = 2l + 2w
x = "a number"
54 = 2(l+w)
27 = l + w
27 = (x+2) + (2x-5)
27 = 3x - 3
27 = 3 (x-1)
9 = x-1
10 = x
Step-by-step explanation:
To solve for the unknown number given the rectangle's dimensions and perimeter, we set up an equation in terms of the unknown number, which represents the width, and solve for it, finding that the number is approximately 8.33.
The question involves finding a specific number given the perimeter of a rectangle and the relationships between its dimensions. First, let's represent the unknown number as x. Given, the length (L) is 2 cm more than x, so L = x + 2. The width (W) is twice x, so W = 2x. The perimeter (P) of a rectangle is given by 2(L + W), and we're told it is 54 cm.
Substituting the expressions for L and W into the perimeter formula gives: 2((x + 2) + 2x) = 54. Simplifying, we get 6x + 4 = 54, and further simplifying results in 6x = 50. Dividing both sides by 6 gives x = 8.33. Therefore, the unknown number is approximately 8.33.
Which polynomial is in standard form?
Answer:
(C) 19x+6^2+2
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
edge 2021
Quadrilateral JKLM is a rhombus. The diagonals intersect at N. If the measure of angle KJL is 2x + 5° and angle MJN = 3x – 8 find the measure of angle KLM.
Answer:
The measure of angle KLM is 62°
Step-by-step explanation:
* Lets revise the properties of the rhombus
- The rhombus has 4 equal sides in length
- Every two opposite angles are equal in measure
- The two diagonals bisect each other
- The two diagonals perpendicular to each other
- The two diagonals bisect the vertices angles
* Lets solve the problem
∵ JKLM is a rhombus
∴ m∠MJK = m∠KLM ⇒ opposite angles in the rhombus
∵ JL and KM are diagonals in the rhombus and intersect each
other at N
∴ JL bisects ∠MJK
∴ m∠KJL = m∠MJN
∵ m∠KJL = (2x + 5)°
∵ m∠MJN = (3x - 8)°
∴ 2x + 5 = 3x - 8 ⇒ subtract 2x from both sides
∴ 5 = x - 8 ⇒ add 8 to both sides
∴ 13 = x
∴ The value of x = 13
∵ m∠KJL = (2x + 5)° ⇒ substitute the value of x
∴ m∠KJL = 2(13) + 5 = 26 + 5 = 31°
∵ m∠KJL = 1/2 m∠MJK
∴ m∠MJK = 2 m∠KJL
∴ m∠ MJK = 2 × 31° = 62°
∵ m∠MJK = m∠KLM ⇒ opposite angles in the rhombus
∴ m∠KLM = 62°
A water trough is in the shape of a trapezoidal prism with the dimensions shown below.
A). find total volume of water that the trough can hold
Answer:
24ft^3
Step-by-step explanation:
Hope it helped you!
Answer:
24 ft.
Step-by-step explanation:
Someone please show a quicker way! (Done inefficiently in my head.)
((1.5 x1.2) + (((1.2 x .5)/2) x 2)) x 10 = 24
Roxanne decides she's going to make cookies. Her recipe requires her to use 1 1/4 cup of sugar for each batch. Roxanne's Mom checked and they have 15 cup od sugar in the house. How many batches of cookies can Roxanne make with the sugar they have?
Answer:
i was a little unclear about your sugar amount..
Step-by-step explanation:
if the amount was 1 1/4 ( 1 cup and 1/4 cup) them the answer would be 12
12 x 1.25 = 15
if the sugar amount was just 1/4 cup of sugar the answer would be 60
.25 x 15 = 60
I need help on this plz
Answer:
$51200
Step-by-step explanation:
Simply do this: 2¹⁰ × 50. You are doing this because you are doubling it for each year that goes by.
I am joyous to assist you anytime.
Please help! Thank you!!
Answer:
BC = 11
Step-by-step explanation:
Substitute x = 5 into the expression for BC
BC = 2x + 1 = (2 × 5) + 1 = 10 + 1 = 11
11 is the answer good luck
Write the fraction 72/81
in simplest form.
Answer: 8/9
Hope it helped!
Answer:
8/9
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 72 and 81 is 9
72 ÷ 9
81 ÷ 9
= 8/9
how this 0=t2−t−2 become this 0=(t−2)(t+1)
In order to t² - t -2 = 0 become into this (t - 2)(t + 1) = 0, we have to know that a polynomial of the form ax² + bx + c = 0 can be factored as a(x + r1)(x + r2) = 0, where r1 and r2 are the roots of the equation ax² + bx + c = 0 and we can find them using the Quadratic Formula.
Let's solve the equation step-by-step.
t² - t -2 = 0 has the form at² + bt + c = 0, so can be factored as a(t + r1)(t + r2) = 0. With a = 1, b = -1, and c = -2
Step 1. Use the Quadratic Formula to find the roots r1 and r2.
t = −b ± √b²−4ac/2a
t = -(-1) ± √(-1)²−4(1)(-2)/2(1)
t = 1 ± √1+8/2
t = 1 ± √9/2 where r1 = 1 + √9/2 and r2 = 1 - √9/2
Step 2. Calculate the roots r1 and r2
r1 = 1 + √9/2 = 2
r2 = 1 - √9/2 = -1
Step 3. Write the factored equation a(t + r1)(t + r2) = 0, with a = 1 and the values of r1 and r2 with opposite signs.
1(t - 2)(t + 1) = 0
(t - 2)(t + 1) = 0
Which line is the best model for the data in the scatter plot?
Answer:
the 1st one in the 2nd row
Step-by-step explanation:
john order 3 burgers and 2 fries for $12.15. Emily bought 4 burgers and 3 fries for $16.80. How much did the pay for each burger and order of fries?
Answer:
They paid $2.85 for each burger and $1.8 for each order of fries
Step-by-step explanation:
It will be solved simultaneously,
let x represent burger and y represent fries
John's order gives the first equation
3x + 2y = 12.15 ........(1)
Emily's order gives the second equation
4x + 3y = 16.80 ..........(2)
multiply equation (1) by 3 and equation (2) by 2 so as to eliminate y
9x + 6y = 36.45 ....... (3)
8x + 6y = 33.6 ........... (4)
subtract equation (4) from (3)
9x - 8x + 6y -6y = 36.45 - 33.6
x = 2.85
substitute x= 2.85 in equation (1)
3(2.85) + 2y = 12. 15
8.55 + 2y = 12.15
2y = 12.15 -8.55
2y = 3.6
y = 1.8
Answer:
Cost of burger = $2.85 and Cost of fries = $ 1.80.
Step-by-step explanation:
Given : john order 3 burgers and 2 fries for $12.15. Emily bought 4 burgers and 3 fries for $16.80.
To find : How much did the pay for each burger and order of fries.
Solution : We have given 3 burgers and 2 fries for $12.15.
Let the cost of 1 burger = x .
Let the cost of 1 Fries = y .
3 x + 2 y = $12.15 ------(1)
4 x + 3 y = $16.80-----(2)
On multiplying (i) by 4 and (ii) by 3 and subtracting the equation .
12x + 8y = $48 .60
(-)12x +(-) 9y = (-)$50 .40
_____________
0 -y = -$ 1.80
y = $ 1.80.
3x + 2(1.80) = $12.15 .
3x + 3.60 = 12.15
3x = 12.15 - 3.60
3x = 8.55
On dividing both sides by 3.
x = $2 .85
Therefore, Cost of burger = $2.85 and Cost of fries = $ 1.80.
What is the positive difference between the square of the sum of the first five positive integers and the sum of the first five positive perfect squares?
Answer:
200Step-by-step explanation:
The square of the sum of the first five positive integers:
(1 + 2 + 3 + 4 + 5)² = 15² = 225
The sum of the first positive perfect square:
1² + 2² + 3² + 4² + 5² = 1 + 4 + 9 + 16 + 25 = 55
225 - 55 = 200
The positive difference between the square of the sum of the first five positive integers and the sum of the first five positive perfect squares is 170. This is obtained by taking the sum of first five numbers, squaring the sum and subtracting the sum of first five perfect squares.
Calculate the positive difference:The sum of first five positive integers = 1+2+3+4+5 = 15
Square of the sum of the first five positive integers = 15² = 225
The sum of the first five positive perfect squares =1²+2²+3²+4²+5²
=1+4+9+16+25
=55
The positive differenece = 225-55=170
Hence the positive difference between the square of the sum of the first five positive integers and the sum of the first five positive perfect squares is 170.
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line segment AB has endpoints A(1,-3) and B(-2,1). What is the midpoint of line segment AB
Answer:
[tex]\large\boxed{\left(-\dfrac{1}{2},\ -1\right)}[/tex]
Step-by-step explanation:
[tex]\text{The formula of a midpoint:}\\\\\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)\\\\================================\\\\A(1,\ -3),\ B(-2,\ 1)\\\\\text{Substitute:}\\\\x=\dfrac{1+(-2)}{2}=\dfrac{-1}{2}=-\dfrac{1}{2}\\\\y=\dfrac{-3+1}{2}=\dfrac{-2}{2}=-1[/tex]
Answer:
[tex](\frac{-1}{2} ,-1)[/tex]
Step-by-step explanation:
line segment AB has endpoints A(1,-3) and B(-2,1).
To find the midpoint of AB we use formula
[tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
A(1,-3) is (x1,y1) , B(-2,1) is (x2,y2)
Plug in the values in the formula
[tex](\frac{1-2}{2} ,\frac{-3+1}{2} )[/tex]
[tex](\frac{-1}{2} ,\frac{-2}{2} )[/tex]
[tex](\frac{-1}{2} ,-1)[/tex]
7. The temperature in Springfield at 10:00 a.m. was 78°F. During the day, it dropped to 56°F. Write and solve an equation to
find the decrease in temperature
Answer:
The equation is equal to 78°-x=56°
The decrease in temperature is 22°
Step-by-step explanation:
Let
x-----> the decrease in temperature
we know that
The equation that represent this situation is equal to
78°-x=56°
Solve for x
x=78°-56°
x=22°
Answer:
The required equation is [tex]78^\circ F-t=56^\circ F[/tex]
The decrease in temperature is 22°F.
Step-by-step explanation:
Given : The temperature in Springfield at 10:00 a.m. was 78°F. During the day, it dropped to 56°F.
To find : Write and solve an equation to find the decrease in temperature ?
Solution :
We have given that temperature is dropped i.e. there is decrease in teh temperature.
Let the decrease in the temperature be 't'.
According to question,
The temperature in Springfield at 10:00 a.m. was 78°F. During the day, it dropped to 56°F.
i.e. the required equation is [tex]78^\circ F-t=56^\circ F[/tex]
Solve,
[tex]t=78^\circ F-56^\circ F[/tex]
[tex]t=22^\circ F[/tex]
The decrease in temperature is 22°F.
The length of the transverse axis is 11, and the length of the red line segment is 19. How long is the blue line segment?
Answer:
8
Step-by-step explanation:
Answer: 8
Step-by-step explanation:
at a basketball game at team made 55 successful shots they were a combination of one and two point shots the team scored 92 points in all right and solve a system of equations to find out the number of each type of shot
Final answer:
To determine the number of one-point and two-point shots made by a basketball team that scored 92 points from 55 shots, set up a system of equations. Solve the system to find that the team made 18 one-point shots and 37 two-point shots.
Explanation:
Finding the Number of One-Point and Two-Point Shots
Let's define x as the number of one-point shots and y as the number of two-point shots. We then have the following system of equations based on the information provided:
x + y = 55 (Total number of successful shots)
1x + 2y = 92 (Total points scored)
To solve for x and y, we can use either substitution or elimination methods.
Using substitution:
Solve the first equation for x: x = 55 - y.
Substitute x in the second equation: 1(55 - y) + 2y = 92.Simplify and solve for y: 55 - y + 2y = 92, which simplifies to y = 37.Substitute y back into the first equation to find x: x = 55 - 37 = 18.The team made 18 one-point shots and 37 two-point shots.
4/3+6=1/4x
Solve the equation
Answer:
Step-by-step explanation:
cross multiply
4*4x=1*3+6
16x=9
x=9/16
You downloaded a video game to your computer. You have a 60-minute free trial of the game. It takes 5 1/6 minutes to set up the game and 7 1/3 minutes to play each level. You want to find out how many levels you can play for free. Which inequality describes the number of levels, ł, you can play in 60 minutes? Choose 1 answer: A. 5 1/6 + (7 1/3) ł >_ 60 B. 5 1/6 + (7 1/3) ł <_ 60 C. (7 1/3) ł - 5 1/6 >_ 60 D. (7 1/3) ł - 5 1/6 <_ 60 ( the _ goes under the < or > cause I can’t do it on my phone) Can you play 6 levels during your free trial? Choose 1 answer: yes or no
Answer:
Question 1: b Question 2: yes
Step-by-step explanation:
The variable must go with 7+1/3 calculate time for all the levels. Then add 5+1/6. It must be less than or equal to because you want to play all 6 levels. You can play all 6 when you plug in 6 as the variable. It is less than 60
Brett is paid $18.95 per hour with time and a half for overtime. What will his gross pay be for a pay period in which he worked 42 hours one week and 36 hours the next week for a total of 78 hours?
The gross pay will be $1496.78
What is Unitary Method ?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Brett is paid $18.95 per hour.
For 0 to 40 hours a week,
For any hours over 40, Brett makes
= 1.5 ($18.95)
= $28.425/hour
In Week 1: 40 hours x $18.95/hour = $758
2 hours x $28.425/hour = 56.85
Week 2: 36 hours x $18.95/hour = 682.2
So, total pay= 758 + 56.58+ 682.2 = $1496.78
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Final answer:
Brett's gross pay for working 42 hours one week and 36 hours the next, for a total of 78 hours, is $1495.05, which includes 2 hours of overtime pay.
Explanation:
Brett is paid an hourly wage of $18.95, with overtime paid at 1.5 times his regular rate. To calculate Brett's gross pay for the two-week pay period where he worked 42 hours one week and 36 hours the next week, we have to account for the fact that he worked 2 hours of overtime in the first week (since he worked more than 40 hours).
Step-by-Step Calculation
Regular hours for two weeks: 40 hours + 36 hours = 76 hours.Overtime hours for the first week: 42 hours - 40 hours = 2 hours.Calculate regular pay: 76 hours x $18.95/hour = $1438.20.Calculate overtime pay: 2 hours x ($18.95/hour x 1.5) = $56.85.Add regular and overtime pay: $1438.20 + $56.85 = $1495.05.Brett's gross pay for the 78 hours worked would be $1495.05.
You borrow $4000 from the bank at 3% annual interest compounded monthly. The monthly payment is $200. What is the balance after the third payment?
The balance of a $4000 loan at a 3% annual interest rate compounded monthly after three payments of $200 each is $3428.58.
To find the balance after the third payment of a $4000 loan, compounded monthly at an annual interest rate of 3%, we must first determine the monthly interest rate. The annual rate of 3% means a monthly rate of 0.25% (3%/12 months). Next, we'll apply the loan payment process three times to calculate the remaining balance.
Month 1: Initial balance is $4000. Interest for the month is $4000 * 0.0025 = $10. The balance before payment is $4010. After a $200 payment, the new balance is $4010 - $200 = $3810.Month 2: Interest for the month is $3810 * 0.0025 = $9.53. The balance before payment is $3810 + $9.53 = $3819.53. After a $200 payment, the new balance is $3819.53 - $200 = $3619.53.Month 3: Interest for the month is $3619.53 * 0.0025 = $9.05. The balance before payment is $3619.53 + $9.05 = $3628.58. After the third $200 payment, the new balance is $3628.58 - $200 = $3428.58.The balance after the third payment is $3428.58.
What is the value of x in this figure?
143√
282√
28
283√
Answer:
Third option: 28
Step-by-step explanation:
You need to remember the following identity:
[tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex]
In the right triangle shown in the figure, you can identify:
[tex]\alpha=30\°\\opposite=14\\hypotenuse=x[/tex]
Then, you need to substitute the corresponding values into [tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex]:
[tex]sin(30\°)=\frac{14}{x}[/tex]
Now, you can solve for "x":
[tex]xsin(30\°)=14\\\\x=\frac{14}{sin(30\°)}\\\\x=28[/tex]
Answer:
The value of x is 28 units
Step-by-step explanation:
Given a right angled triangle with one side 14 units and one angle 30°
we have to find the value of x
By trigonometric ratios
[tex]\sin \theta=\frac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin 30^{\circ}=\frac{14}{x}[/tex]
[tex]\frac{1}{2}=\frac{14}{x}[/tex]
[tex]x=14\times 2=28 units[/tex]
Hence, the value of x is 28 units.
Option C is correct
Can someone please help me
Answer:
Let's solve your system by substitution.
x=5;y=−7
Step: Solve x=5 for x:
x=5
Step: Substitute 5 for x in y=−7:
y=−7
y=−7
Answer:
x=5 and y=−7
x=3;y=2x−1
Step: Solve x=3 for x:
x=3
Step: Substitute 3 for x in y=2x−1:
y=2x−1
y=(2)(3)−1
y=5(Simplify both sides of the equation)
Answer:
x=3 and y=5
Let's solve your system by substitution.
y=6x+3;y=5x+4
Step: Solve y=6x+3 for y:
y=6x+3
Step: Substitute 6x+3 for y in y=5x+4:
y=5x+4
6x+3=5x+4
6x+3+−5x=5x+4+−5x(Add -5x to both sides)
x+3=4
x+3+−3=4+−3(Add -3 to both sides)
x=1
Step: Substitute 1 for x in y=6x+3:
y=6x+3
y=(6)(1)+3
y=9(Simplify both sides of the equation)
Answer:
x=1 and y=9
2x+3y=2;y=x−6
Step: Solve y=x−6 for y:
y=x−6
Step: Substitute x−6 for y in 2x+3y=2:
2x+3y=2
2x+3(x−6)=2
5x−18=2(Simplify both sides of the equation)
5x−18+18=2+18(Add 18 to both sides)
5x=20
divide both sides by 5
5x/5 and 20/5
x=4
Step: Substitute 4 for x in y=x−6:
y=x−6
y=4−6
y=−2(Simplify both sides of the equation)
Answer:
x=4 and y=−2
2 qt/min= how many gal/s
The flow rate is 2 quarts per minute. There are 4 quarts in a US gallon, so 2 quarts divide 4 quarts per US gallon = 0.5 gallons per minute There are 60 seconds in a minute, so the flow rate is 0.5 gallons per minute divide 60 seconds per minute = 0.0083 gallons per second
Converting 2 quarts per minute to gallons per second requires the use of two conversion factors. First, quarts are converted to gallons by dividing by 4. Then, minutes are converted to seconds by dividing by 60. After performing these steps, it is found that 2 quarts per minute is approximately equal to 0.00833 gallons per second.
Explanation:The student is asking to convert a flow rate from quarts per minute to gallons per second. There are a few fundamental conversions you need to use to find the answer. Firstly, remember that 1 gallon (gal) is equivalent to 4 quarts (qt). So, to convert the quarts to gallons, divide the quarts by 4. Secondly, there are 60 seconds in a minute; thus, you have to convert the minutes to seconds by dividing by 60.
Let's go step-by-step:
Convert quarts to gallons: 2 quarts/minute ÷ 4 = 0.5 gallons/minuteConvert minutes to seconds: 0.5 gallons/minute ÷ 60 = 0.00833 gallons/secondTherefore, 2 quarts per minute is approximately equal to 0.00833 gallons per second.
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How many solutions does this system of equations have?
Y=-3x+7
Y=-3x-6
A. Infinitely many
B. Two solutions
C. One solution
D. No solutions
System of equations helps us to compare two real-life problems. The system of equations will have no solution.
What is a System of equations?Inconsistent System
A system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.
As the systems of two-equations are given, therefore, the two equations are:
Y=-3x+7Y=-3x-6Now, if we plot the two-equation on the graph, we will find that the lines of the two equations are parallel. therefore, the system of equations will have no real solution or will have no solution.
Hence, the system of equations will have no solution.
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I need this question
Answer:
2
Step-by-step explanation:
7 divided by 4 equals 1.75 then round to nearest tenth you get 2.
the answer is 1.8 because 1.75 is getting rounded by the 7 place which is the tenths place
Two positive integers have a sum of 10 and a product of 21. What are the integers?
Answer:
3 and 7Step-by-step explanation:
[tex]x,y-\text{positive integers}\\\\\text{The system of equations:}\\\\\left\{\begin{array}{ccc}x+y=10&\text{subtract}\ y\ \text{from both sides}\\xy=21\end{array}\right\\\\\left\{\begin{array}{ccc}x=10-y&(1)\\xy=21&(2)\end{array}\right\\\\\text{substitute (1) to (2):}\\\\(10-y)(y)=21\qquad\text{use the distributive property}\ a(b-c)=ab-ac\\\\10y-y^2=21\qquad\text{subtract 21 from both sides}\\\\-y^2+10y-21=0\qquad\text{change the signs}\\\\y^2-10y+21=0\\\\y^2-3y-7y+21=0\\\\y(y-3)-7(y-3)=0[/tex]
[tex](y-3)(y-7)=0\iff y-3=0\ \vee\ y-7=0\\\\y-3=0\qquad\text{add 3 to both sides}\\\\y=3\\\\y-7=0\qquad\text{add 7 to both sides}\\\\y=7\\\\\text{Put the value of}\ y\ \text{to (1):}\\\\x=10-3=7\ or\ x=10-7=3[/tex]
Let f(x) =Sqrt 9x and g(x) =x+7 whats the smallest number that's in the domain of f ° g
The smallest number that's in the domain of f ° g is x = 0.
Explanation:The function f(x) = √(9x) represents the square root of 9x.
The function g(x) = x + 7 represents adding 7 to x. To find the smallest number that is in the domain of f ° g, we need to determine the values of x that satisfy both f(x) and g(x).
We can start by looking at the domain of g(x), which includes all real numbers. So any value of x will work for g(x).
Next, we need to consider the domain of f(x). Since taking the square root of a negative number is not defined in the real number system, we must ensure that 9x is positive or zero.
So we set 9x ≥ 0 and solve for x: x ≥ 0. This means any non-negative value of x will work for f(x).
Now, to find the smallest number in the domain of f ° g, we need to find the intersection of the domains of f(x) and g(x).
Since any value of x will work for g(x) and only non-negative values of x will work for f(x), the smallest number that satisfies both functions is x = 0.
6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.
Determine the volume of the prism to the nearest cubic inch. Show how you arrived at your answer
30 in
10 in
ON
Answer:
The volume of the prism is [tex]1,299\ in^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the prism is equal to
[tex]V=BL[/tex]
where
B is the area of the triangular base
L is the length of the prism
we have
[tex]L=30\ in[/tex]
Find the area of the base B
The area of a equilateral triangle is equal to
[tex]B=\frac{1}{2}(10)^{2} sin(60\°)[/tex]
[tex]B=25\sqrt{3}\ in^{2}[/tex]
substitute
[tex]V=(25\sqrt{3})(30)=1,299\ in^{3}[/tex]
The volume of the traingular prism is 1,280.85 in³.
Volume of the prismThe volume of the prism is determined using the following formulas as show below;
V = Bh
where;
B is the base area of the prismh is the height of the prismBase area is calculated as follows;
[tex]A = \frac{a^2\sqrt{3} }{4} \\\\A = \frac{10^2 \times \sqrt{3} }{4} \\\\A = 25\sqrt{3} \ in^2[/tex]
Height of the prism[tex]L^2 = (\frac{a}{2} )^2 + h^2\\\\h^2 = L^2 - (\frac{a}{2} )^2\\\\h^2 = 30^2 - (\frac{10}{2} )^2\\\\h^2 = 875\\\\h = \sqrt{875} \\\\h = 29.58 \ in[/tex]
Volume of the prismV = 25√3 x 29.58
V = 1,280.85 in³
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Which amount is a reasonable tip for an airport skycap? A. $2 total B. $2 per bag C. $5 per bag
Answer:
Step-by-step explanation:
B or C depending on how many bags you have
A reasonable tip for an airport skycap is generally $2 per bag, reflecting both the service provided and the quantity of luggage.
The question asks about the appropriate tip amount for an airport skycap. A common guideline for tipping skycaps is $2 per bag, which is considered to be a reasonable amount. Tipping $5 per bag may be considered generous in many cases, and a flat rate of $2 in total could be seen as insufficient unless you only have one bag. The tip should reflect the quality of service provided and the number of bags. The provided information regarding airline costs and opportunity costs of time at airports is not directly related to tipping skycaps but does highlight the broader context of airport expenses and the value of time for air travelers.
In the swimming pool design explain how to find the area of the pool surface
Answer:
Sample Response: Find the area of the rectangle. Then, find the area of the circle. The diameter is given, so take half that to get the radius. Multiply the area of the circle by half. Subtract the area of the half circle from the area of the rectangle.
Step-by-step explanation:
i did it.
Answer:
Sample Response: Find the area of the rectangle. Then, find the area of the circle. The diameter is given, so take half that to get the radius. Multiply the area of the circle by half. Subtract the area of the half circle from the area of the rectangle.
Step-by-step explanation:
make sure to inlcued
- area of rectangle
- half the diameter for the radius
- half the area of the circle
- subtract the area of the half circle from the area of the rectangle
which statement best describes the association between variables X and variable Y?
*moderate positive association
*moderate negative association
*perfect negative association
*perfect positive association
someone please help me
Answer:
moderate negative
Step-by-step explanation:
a perfect would be a rate, I believe.
The statement which best describes the association between variables X and variable Y is:
moderate negative association
Step-by-step explanation:Since by looking at the scatter plot we see that the Y-value is decreasing with the increasing x-value i.e. the two variables are in inverse proportion.
Hence, the two variables has a negative association.
Also, when we will draw a line of best fit we will observe that not all the data points will lie on the trend line but they will be closely related to the line of best fit.
Hence, the relationship is moderate.
Hence the answer is:
Moderate negative association.