Answer:
queen's width = 60 in
queen's length = 80 in
king's width = 76 in
king's length = 80 in
Step-by-step explanation:
-queen's wide = ???
-same length = queen's wide + 20
king size:
-king's wide = queen's wide + 16
-same length = queen's wide + 20
queen's area = x
king's area = x + 1280
area = width * length
let's call queen's width and king's width "qw" and "kw" respectively
let's call queen's length and king's length "ql" and "kl" respectively
Q area:
qw * (qw + 20)
qw² + 20qw = x
K area:
(qw + 16) * (qw + 20) = x + 1280
qw² + 36qw + 320 = qw² + 20qw + 1280
qw² - qw² + 36qw - 20qw = 1280 - 320
16qw = 960
qw = 960 / 16
qw = 60
ql = 60 + 20
ql = 80
kw = 60 + 16
kw = 76
kl = ql
kl = 80
PLEASE HELP ME WITH THESE MATH PROBLEMS!! DUE TONIGHT!!
Answer:
a) 20.9ft b)148.5ft c)98.2ft d)50.3
Step-by-step explanation:
for a, b and c you can use SOHCAHTOA
a) sin(8)=height/150 so height=150sin(8)
b)cos(8)=distance/150 rearrange the same way
c)use SOHCAHTOA but with the value you got from a ad the 12 degree angle
d) subtract the value found in c from the value found in a
The New York Nicks had a streaky season. They began by winning 4 games in a row, and then they lost 12 games in a row. After those 12 losses, they won every game, finishing with 3 wins for every 2 losses overall. How many games did they win after the first 16 games?
Using proportions, it is found that they won 14 games after the first 16 games.
This question is solved by proportions, using a rule of three.For each 3 games they won, they lost 2.They lost 12 games, all on the losing streak, and won x games.Hence, the rule of three is:
2 losses - 3 wins
12 losses - x wins
Applying cross multiplication:
[tex]2x = 3(12)[/tex]
[tex]x = \frac{36}{2}[/tex]
[tex]x = 18[/tex]
18 wins, being 18 - 4 = 14 after the first 16 games, hence, they won 14 games after the first 16 games.
A similar problem is given at https://brainly.com/question/24372153
True or false: The relationship among the triple constraint variables is such that if any one changes, at least oneother is likely to be affected.
We want to see if the statement "The relationship among the triple constraint variables is such that if any one changes, at least one other is likely to be affected." is true or false. This is true.
A relationship among the triple constraint variables is written as:
y = f(x, z)
Where the 3 variables are x, y, and z and represent cost, scope, and time.
This means that if either x or z changes, also does y.
And we always can rewrite the relationship in two other forms:
x = g(z, y)
z = h(x, y)
Then we can see that always that one variable changes, at least one other variable changes in response, then the statement is true.
If you want to learn more, you can read:
https://brainly.com/question/25368922
A pet shelter 42 kittens for adoption at the beginning of the week by the end of the week there were 21 kittens left find the percent decrease
Answer:
50% decrease
Step-by-step explanation:
50% = half
half of 42 is 21
there are 21 left, so 21 (which is half or 50%) were adopted
does the graph represent a function? yea or no
Answer:
No
Step-by-step explanation:
1. During a thunder storm, the amount of rain on the ground increased at an average rate of 0.25
inch per hour. There was already 4.5 inches of rain on the ground when the storm started.
What is the total amount of rain on the ground, in inches, after 8 hours of the storm?
What is the total amount of rain on the ground, in inches, after 8 hours of the storm?
GivenAverage Rate of Rain on Inch Per Hour = 0.25The Rain on the Ground = 4.5Time of Raining = 8 hoursOperationMultiplication and AdditionNumber Sentence(0.25 x 8) + 4.5= 2 + 4.5= 6.5Final AnswerHence, the total amount of rain is 6.5 inches.Determine if the table represents a linear function, quadratic function, or exponential function.
Answer:
quadratic
Step-by-step explanation:
Can someone explain letter c?! From where did 13 come from there’s no 13 in the question..
Answer:
Seems correct to me. I color coded the various terms.
Step-by-step explanation:
[13x³ came by adding 9x³ and 4x³]
12x²+8x-5x+9x³+2x²+4x³(9x³+4x³)+(12x²+2x²)+(8x-5x)13x³+14x²+3xa,√361/529 b,√240 c,√72
Answer:
a. 19/28 or .826.
b. 4 times √15 or 15.492
c. 6 times √2 or 8.485
Step-by-step explanation:
Potential energy is described as
Question 1 options:
Stored energy
Decreasing energy
Movement
Friction
Answer:
Stored energy
Step-by-step explanation:
The width of a rectangle measures (7f-4)(7f−4) centimeters, and its length measures (2f+5)(2f+5) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answer:
Perimeter is 18f+2
Step-by-step explanation:
Given : rectangle having width (7f-4) and length (2f+5)
To Find : Expression For Perimeter = ?
Solution : We know that, perimeter of rectangle is 2(L+B)
-> 2(7f-4+2f+5)
-> 2(9f+1)
-> 18f + 2
I hope this helps.
Round 70.74 to 2 significant figures
Ahmed invests an amount of $1200 for three years at 6%. Work out its a- Simple interest b- Total amount after three years.
Answer: In 3 years the money earned 18%. If we rounded to 20%, the interest would have been 500(0.20) or $100. Yes, $90 is reasonable.
can you convert the following
1/8 to decimal and percent
and show work
Answer:
0.125 as a decimal and 12.5% as a percentage
Step-by-step explanation:
1 divided by 8 to get decimal and for percent take the value and multiply it by 100
solve the system of linear equations 3x-2y=16
6x-4y=32
System of Linear Equations entered :
[1] 3x - 2y = 16
[2] 6x - 4y = 32
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 6x = 4y + 32
[2] x = 2y/3 + 16/3
// Plug this in for variable x in equation [1]
[1] 3•(2y/3+16/3) - 2y = 16
[1] 0 = 0 => Infinitely many solutions
Infinitely many solutions
Answer:
Step-by-step explanation:
[1] 3x - 2y = 16
[2] 6x - 4y = 32
Solve equation [2] for the variable x
[2] 6x = 4y + 32
[2] x = 2y/3 + 16/3
Plug this in for variable x in equation [1]
[1] 3•(2y/3+16/3) - 2y = 16
[1] 0 = 0 => Infinitely many solutions
A woman got on the elevator on the fourth floor. The elevator went down 2 11 floors. Then, the woman got off the elevator. On which floor did the woman exit the elevator
Answer:
A woman got on the elevator on the fourth floor. The elevator went down 2 11 floors. Then, the woman got off the elevator. On which floor did the woman exit the elevator
What is the slope of the red line if the green is 2/3
Answer:
a
Step-by-step explanation:
For the equation y = -x +5, find y when x = -3
Answer:
y= 8
Step-by-step explanation:
y= -x +5
To find the value of y when x= -3, substitute -3 into x and solve the equation.
When x= -3,
y= -(-3) +5
y= 3 +5
y= 8
An item costs $300 before tax, and the sales tax is $9.90 . Find the sales tax rate. Write your answer as a percentage.
Answer:
3.33%
Step-by-step explanation:
9.90/300=0.033
Letting x represent the number of messages over 500, and y the total monthly charges, write
equations representing the charges for plans A and B.
Answer:
x=500
Step-by-step explanation:
recent ecological survey showed that the ratio of deer to foxes was 7 to 3 in one county in Texas. If there were 210 foxes in the county, what was the number of deer in the county?
Answer:490
Step-by-step explanation:
Liam rented a surf boar which cost $12.50/hour plus a one-time service fee. He used the board or 5.5 hours and paid a total of $93.75.
Use this information to write an equation (in slope-intercept form) which represents how the rental cost is calculated.
Answer:
y = 12.5x + 25
Step-by-step explanation:
first, we need to find the cost of the one-time service.
12.50*5.5 = 68.75
93.75 - 68.75 = 25
therefore, the one-time service fee is $25.
liam had to pay $12.50 every hour and thats where we get 12.5x from.
he also had to pay $25 as the one-time service fee which gets us y = 12.5x + 25.
hope it helps :)
mark brainliest!!
Answer:
if y is the total cost of the rental, then y-93.75=12.5(x-5.5) models the cost of renting a surf board for x hours. Liam should rewrite the equation from the previous step so that y is isolated on one side. the constant on the other side is then the service fee.
I NEED TO FINISH THESE BY NEXT WEEK>
Answer:
domain is (2,-3)
range is (1)
Pls tell me the answer and step by step too cus I don’t understand, thank u.
Step-by-step explanation:
if c =-11:
-(-11)-3=11-3=8≥-5.5
so the right answer is -c-3≥-5.5
Do number 6. This is not a quiz
Answer:
C
Step-by-step explanation:
B . -A . -b . -b . +a . +b . +c
b + b -b -b +a -a +c
c
Select the values that make the inequality n > 1 true.
(Numbers written in order from least to greatest going across.)
− 2 5 x − 9 < 9 10 solve and show work please I need help
Answer:
= -36.4
Step-by-step explanation:
- 25 x - 9 < 910
Add 9 to both sides
- 25 x < 919
Divide -25 to both sides
- 25 / - 25 < 919 / - 25
= -36.4
Answer number 2 please.
Answer:
Obtuse scalene triangle
Step-by-step explanation:
1. Angles:
-> Acute triangle: all angles less than 60° -> Right triangle: one angle is 90° -> Obtuse triangle: one angle is greater than 90°- Given the information above, we can see that the triangle has one angle that's greater than 90° (129°), so this triangle is obtuse.
2. Sides:
-> Scalene triangle: all sides have different lengths-> Isosceles triangle: two sides have same length-> Equilateral triangle: all sides are the same- Given the information above, we can see that all the sides in the triangle are different, so this triangle is scalene.
Therefore, the answer is an obtuse scalene triangle.
Please help fast Find the volume of a right circular cone that has a height of 15-3 ft and a base with a
radius of 13.9 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
3095.6 ft³
Step-by-step explanation:
Volume cone = 1/3(πr²h)
= 1/3(π(13.9)²(15.3))
= 1/3(π(193.21)(15.3))
= 1/3(2956.113π)
= 985.371π ≈ 3095.6 ft³
-Chetan K
8. Twice the greatest of three consecutive integers is 10 more that the smallest integer. Find the 3 integers.
Answer:
6, 7, 8
Step-by-step explanation:
Let the smallest integer be x.
The next greater one is x + 1.
The greatest of the three is x + 2.
Now we use the sentence "Twice the greatest of three consecutive integers is 10 more that the smallest integer." to write an equation.
2(x + 2) = x + 10
Solve the equation for x to find the smallest of the integers.
2x + 4 = x + 10
x = 6
The next one is x + 1.
x + 1 = 7
The greatest is x + 2.
x + 2 = 8
Answer: 6, 7, 8
Answer:
6, 7, 8
Step-by-step explanation:
You can set up variables to represent each of these integers.
For example: x, x+1, and x+2. Next find out what x is by using what the question has told you.
Since twice the greatest of three consecutive integers is 10 more than the smallest integer, you can set up this equation: (x) + 10 = 2(x + 2). x represents the smallest integer while x + 2 represents the greatest integer.
Next solve for x using PEMDAS.
1. (x) + 10 = 2(x + 2)
2. x + 10 = 2x + 4
3. 2x - x = 10 - 4
4. x = 6
Now you can find the other integers by adding 1 and 2 to 6.
The correct answers should be 6, 7, 8.