Answer:
uniform width around the landing pad = 9.41 feet
Step-by-step explanation:
Length of landing pad = 80 ft
width of landing pad = 50 ft
Length of safety zone = (80 + 2w)
width of safety zone = (50 + 2w)
Total area = 10800 [tex]ft^{2}[/tex]
Area of landing pad = length x width
= 80 x 50
= 4000 [tex]ft^{2}[/tex]
Area of landing pad = 4000 [tex]ft^{2}[/tex]
Thus,
area of safety zone = total area - area of landing pad
= 10800 - 4000
= 6800
area of safety zone = 6800 [tex]ft^{2}[/tex]
But,
area of safety zone = length x width
6800 = (80 + 2w) x (50 + 2w)
6800 = 4000 + 160w + 100w + 4[tex]w^{2}[/tex]
divide through by 4,
1700 = [tex]w^{2}[/tex] + 65w + 1000
⇒ [tex]w^{2}[/tex] + 65w + 1000 - 1700 = 0
[tex]w^{2}[/tex] + 65w -700 = 0
Applying the quadratic formula,
w = (-b ± [tex]\sqrt{b^{2} -4ac}[/tex]) ÷ 2a
a = 1, b= 65 and c = -700
w = (-65 ± [tex]\sqrt{(65)^{2}-(4*1*-700) }[/tex]) ÷ 2
= (-65 ± [tex]\sqrt{7025}[/tex]) ÷ 2
= (-65 ± 83.82)÷ 2
w = (-65 + 83.82) ÷ 2 OR (-65 - 83.82) ÷ 2
= 18.82 ÷ 2 OR -148.82 ÷ 2
= 9.41 OR -74.41
Thus, w = 9.41 ft.
If x = 2 and y = 5 , evaluate the following expression:
100 − 3 ( 3 y − 4 x )
Answer:
-59
Step-by-step explanation:
Answer:
e
Step-by-step explanation:
Jenny has some flowers in a bucket. She picks a flower at
random. Without putting the first flower back, she picks second
flowers at random.
Are these two events dependent or independent
As a retiring employee, you'll receive 8.96% of your average salary from the last five years you worked with your company.
You plan to retire after 36 years with the company.
Your salaries for your last five years are:
$140,647
$201,419
$138,739
$134,820
$182,896
Calculate your annual retirement salary.
Answer:
$134,820
Step-by-step explanation:
is the correct answer
What equation models the data in the table if d = number of days and c = cost?
Marcus paid for 5 pairs of rare Jordan's to be delivered. Each pair cost $143.95. Marcus paid $74.25 for delivery. What is the total amount Marcus paid?
Answer:
$794.10
Step-by-step explanation:
Marcus paid for 5 pairs of rare Jordan's to be delivered. Each pair cost $143.95. Marcus paid $74.25 for delivery. What is the total amount Marcus paid?
The total amount Marcus paid is calculated as
A = $143.95 × p + $74.35
Where p = Number of pairs of rae Jordans delivered = 5
Hence,
A = $143.95 × 5 + $74.35
A = $719.75 + $74.35
A = $794.10
Therefore, the total amount Marcus paid is $794.10
A TV has a listed price of $ 796-99 before tax. If the sales tax rate is 6.75% find the total cost of the TV with sales tax included
Round your answer to the nearest cent, as necessary
Answer:
$850.79
Step-by-step explanation:
Assuming "$ 796-99" meant $796.99
796.99 increase 6.75% =
796.99 × (1 + 6.75%) = 796.99 × (1 + 0.0675) = 850.786825
hi can anyone tell me the answer
Answer:
Attached a pic!!
Hope it helps!!!!
Find the LCM for each pair of numbers. 2, 5 8, 10
what is the nth term rule of the linear sequence below 22,18,14,10,6
Answer: -10
Step-by-step explanation:
We can see there is a pattern of -4 each time
1:22
2:18
3:14
4:10
5:6
6:2
7:-2
8:-6
9:-10
Answer:
1. 22 - 4 = 18
2. 18 - 4 = 14
3. 14 - 4 = 10
4. 10 - 4 = 6
5. 6 - 4 = 2
6. 2 - 4 = -2
7. -2 - 4 = -6
8. -6 - 4 = -10
9. -10 - 4 = -14
10. -14 - 4 = -18
Step-by-step explanation:
The question did not state which term specifically you wanted, so here is 1-10, if its higher than that, then i can update my answer.
Have a good day.
Determine whether the expression is a polynomial. If it is a polynomial, find the degree
and determine whether it is a monomial, binomial, or trinomial.
3y^2 – 2
Answer:
This expression is a polynomial. The largest exponent is 2, therefore, it is in the quadratic degree. It is a binomial because it has two parts: 3y² and -2.
Please help me on this!!!!
Answer:
670
Step-by-step explanation:
umm i used a calculator
Children 12 and under eat free at a local restaurant. If x represents age, write an inequality to represent people who do not get a discount.
Answer:
12 ≤ x
Explanation:
Kids 12 and under, meaning that the age of someone who enters the restaurant has to be less than or equal to 12 to eat free
The inequality which represents the age of the people who do not get the discount is x > 12.
What is Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Given that,
Children 12 and under eat free at a local restaurant.
Let x represents the age of the people.
Since the children who are 12 and under will get the discount, the age of the people who do not get the discount is the people with age greater than 12.
That is the inequality representing this situation is,
x > 12
Hence the required inequality is x > 12.
Learn more about Inequalities here :
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Multiply. Write your answer as a fraction or as a whole or mixed number.
2
1
3
×
2
1
2
×
1
4
=
The answer of expression is 632184, it in fraction is 1264368/2.
What is Multiplication?The adding of groups is called as Multiplication. When we multiply, the number of things in the group increases.
The combination of numbers, variables and operators is known as Expression
In the given expression multiplication or product is the operator.
213×212×14
When we multiply we get 632184.
Now we have to write 632184 in fractional form.
For this let us multiply numerator and denominator by 2.
So we get 1264368/2
and this can also we can write in mixed number.
We can write this value in fraction as 1264368/2
and we can also write in mixed number 4 632164/5.
Hence the answer as fraction is 1264368/2.
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What is the slope of line a?
-1/3 3 -3 1/3
Please answerrrrrrrrrr
9/2 divided by 3/4
What the answer??
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
[tex]\frac{9}{2}[/tex]÷[tex]\frac{3}{4}[/tex]Use the keep change flip method. Make this a multiplication equation by turning 3/4 into 4/3
[tex]\frac{9}{2}[/tex]×[tex]\frac{4}{3}[/tex]Solve.
[tex]\frac{36}{6}[/tex]Simplify
6Simple math questions pls help me out
Answer:
True, True, False, True, False for part 1
Step-by-step explanation:
Make me brainliest
Answer:true,true,false,true part one
Step-by-step explanation:
Evaluate 3 to the 2nd power plus 7 times 2
Hey there!
3^2 + 7 • 2
3^2 = 3 • 3 = 9
9 + 7 • 2
7 • 2 = 14
9 + 14 = 23
Answer: 23 ☑️
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
my
Step-by-step explanation:
the diameter of the handle of a softball bat is 1 3/4 inches. whats is the length in inches of the diameter of 8 of these bat handles?
a. 6in
b. 8 3/4 in
c. 9 3/4 in
d. 14 in
Answer:
d. 14 in
Step-by-step explanation:
Give the domain and range of each relation
Question 1 (1 point)
What is the value of x?
3x
3x +7
4
5x-8
o
52
7.
Ob
Oc
ما انه | با
Od
52
Answer:
x = 34
Step-by-step explanation:
nice
So we're working on ratios and proportions in my math class. I feel attacked because my teacher specifically called me out and said- "Nya, you can do this, a little math won't hurt." So now I need help. :')
6) A pizza cost 12.00. If the sales tax is 7%, what is the final price of the pizza?
A. 12.07
B. 12.70
C. 12.84
D. 19.00
A pizza cost 12.00. If the sales tax is 7%, what is the final price of the pizza?
$12.84 or C
Have a great day! :)
HIII! Find Sin D and sin E! Write the answer as a fraction and as a decimal. Round to four decimal places, if necessary! Please help me!
Answer:
[tex]\displaystyle \sin(D)=\frac{28}{53}\approx0.5283[/tex]
[tex]\displaystyle \sin(E)=\frac{45}{53}\approx0.8491[/tex]
Step-by-step explanation:
Remember that sine is the ratio of the opposite side to its hypotenuse:
[tex]\displaystyle \sin(x^\circ)=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]
For D, the opposite side to D is 28, and the hypotenuse is 53. Therefore:
[tex]\displaystyle \sin(D)=\frac{28}{53}[/tex]
Or, in decimal form:
[tex]\sin(D)\approx 0.5283[/tex]
Likewise, the side opposite to E is 45, and the hypotenuse is 53. Therefore:
[tex]\displaystyle \sin(E)=\frac{45}{53}[/tex]
And using a calculator:
[tex]\sin(E)\approx0.8491[/tex]
i will mark you as brainly plzzzz help
A shirt is sold for Rs 285, there is a loss of 5%. At what price should the shirt be sold so as to have a profit of 15%?
Answer:
345 !
Step-by-step explanation:
SP = 285
loss = 5 %
CP= ( SP * 100 ) / ( 100 - percentage loss)
CP= 28500 / 95 = 300
~~~~~~~~~~~~~~```
CP= 300
profit = 15%
SP = [(100 + Profit %) / 100]*CP.
SP= 100 + 15 / 100 x 300
= 115 / 100 x 300
= 345
I hope im right!!!
Help pls on this plsss
Answer:
1.5
Step-by-step explanation:
Answer:
1/8 or 0.125
Step-by-step explanation:
what are the y-intercepts to graph the equation-4x - 3y = 36
Answer:
Y-Int = -12
Step-by-step explanation:
First, I would change the equation to slope intercept form:
-3y = 36 + 4x
3y = -36 - 4x
y = -12-4/3x
y = -4/3x - 12
-12 is the y-intercepts to graph the equation-4x - 3y = 36
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The given equation is -4x-3y=36
Now let us convert the given equation to slope intercept form y=mx+b
where m is the slope and b is the y intercept
Isolate the term y
-3y=36+4x
Divide both sides by 3
-y=36/3+4/3x
Multiply both sides by -
y=-12-4/3x
y=-4/3x-12
Slope is -4/3 and y intercept is -12
Hence, -12 is the y-intercepts to graph the equation-4x - 3y = 36
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Jose bought a new car 2 years ago for $18,000. The value of his car decreased exponentially by 17% and is now
valued at about $12,400.
Solve Part A please
Answer: D
Step-by-step explanation: On the first part, if it decreases by 17% each year, that means its value is 83% of what it was. You forgot to say that the car was bought 2 years ago.
Thus, the answer is D
For the second, just use the same logic to get 18000*0.75^4
(1a) Do 4x and 15 + x have the same value when x is 5? How do you know?
Answer:
Yes, both have the same value ( 20) when x = 5.
Step-by-step explanation:
We have two functions:
y = 15 + x
y = 4*x
We want to see if these functions have the same value when x = 5.
Then we just need to replace x by 5 in both equations, and see if the values of y are the same
first function:
y = 15 + 5 = 20
second function:
y = 4*5 = 20
So yes, both functions are equal to 20 when x = 5.
Answer:
Yes.
Step-by-step explanation:
4(5)=20
15+5=20
4/5 + 6/10. Im sorry im just to lazy-
Answer:
1 2/5
Step-by-step explanation:
8. Which of the following elements would have the greatest ionization energy? Magnesium (Mg) Phosphorus (P) Argon (Ar) Sodium (Na)
Answer:
I attached the photo hoped it helped
Step-by-step explanation: