A helicopter landing pad has a length of 80 ft and a width of 50 ft. A safety zone
of uniform width, which is not to be entered during landing, surrounds the landing
pad. The landing pad and safety zone together have a combined area of 10800 ft2,
what is the uniform width (safety zone) around the landing pad?
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.
A(n)___ in the money supply will cause interest rates to decrease, which, in turn, causes spending to____.
A. increase; decrease
B. decrease; decrease
C. increase; increase
D. decrease; increase
please helpppppppppppppp
[tex]{ \huge{ \green{ \underline{ \frak{Question}} \colon}}}[/tex]
[tex]{ \large{ \pink{ ⇝ \: \rm{To \: \: Find \: \: \bigg (4.9 \div \dfrac{1}{10} \bigg)}}}}[/tex]
[tex]{ \huge{ \purple{ \underline{ \frak{Answer}} \colon}}}[/tex]
[tex]{ \large{ \red{➢ \: \: \rm{4.9 \div \dfrac{1}{10} }}}}[/tex]
[tex]{ \large{ \orange{ ➢ \: \: \rm{4.9 \times 10}}}}[/tex]
[tex]{ \large{ \blue{➢ \: \: \bf{ \boxed{\bf{49 }}\: \: Ans.}}}}[/tex]
PLEASEEE HELPPP!!!!!!!!
Answer: you have it right x is greater than 4 also it could be the line
Step-by-step explanation:
Please use the picture below to find our what x equals
Answer:
45 degrees
Step-by-step explanation:
Answer:
60 degrees
Step-by-step explanation:
The full angle is supplementary (180 degrees) so you just do
180-(90+30)
180-120
x=60
Find the slope of the line through each pair of points. (15, 8), (-1, 15).
Answer:
22.6
Step-by-step explanation:
15-1 8-15
14^2 7^2
196+49
245
15.6
This is a question for geometry and its pretty hard.
Answer:
m EAD = 56
m EDA = 35
x = 4
Step-by-step explanation:
In a parallelogram, the diagonals bisect each other. This means that AE and EC are equal. To find x, simply set 2x + 3 = 11, and solve.
2x + 3 = 11
2x = 8
x = 4
Additionally, since the sides of a parallelogram are parallel, BC + AD are parallel, as are AB + DC. This make ECB + EAD and EBC + EDA opposite interior angles (have same measure). Thus, since we know ECB = 56 and EBC = 35, EAD also = 65 and EAD also = 35
Clare estimates that her brother is 4 feet tall. When they get measured at the doctor's office, her brother's actual height is 4 feet, 2 inches. Should Clare's or the doctor's measurement be considered the actual height?
Answer: The Doctor's.
Step-by-step explanation:
Claire's estimate was simply that, an estimate. The doctor's measurement on the other hand is the actual height of her brother because he actually got measured.
This means that the doctor's measurement is more accurate and would make more sense to be used.
Please help me! I need 3-9 !!
Answer:
Well, for triangle rectangles, we have the relations:
Cos(A) = (adjacent cathetus)/(hypotenuse)
Sin(A) = (opposite cathetus)/(hypotenuse)
Tan(A) = (opposite cathetus)/(adjacent cathetus)
Where the adjacent cathetus is the cathetus that is adjacent to the angle, the opposite cathetus is the one that is opposite to the angle, and the hypotenuse is the side that is opposite to the 90° angle.
Here we want to solve 3 to 9.
3) We want to find values sin(D) and sin(E) in that triangle.
Remember the above relationship for the sin function, here will have:
sin(D) = 12/15 = 0.8
sin(E) = 9/15 = 0.6
4)
Sin(E) = 12/37 = 0.3243
Sin(D) = 35/37 = 0.9459
5)
Sin(E) = 45/53 = 0.8491
Sin(D) = 28/53 = 0.5283
6)
Remember that: Sin(A) = (opposite cathetus)/(hypotenuse)
In the image, 5 is the adjacent cathetus to the angle A, and the opposite cathetus to angle A is the one in front of it, 12, then the equation should be:
Sin(A) = 12/13
Now we should use the cosine relationship:
Cos(A) = (adjacent cathetus)/(hypotenuse)
7)
Cos(X) = 27/45 = 0.6
Cos(Y) = 36/45 = 0.8
8)
Cos(X) = 15/17 = 0.824
Cos(Y) = 8/17 = 0.4706
9)
Cos(X) = 13/26 = 0.5
Cos(Y) = (13*√3)/26 = 0.866
tdrzfffffffffffffffffffffffffffffff
Answer:
AYEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
ill marbrainlist plss help
Answer:
3:2
Step-by-step explanation:
the shape has foor sides it only two pairs of opposite sides what is the shape
Answer:
Rectangle
Step-by-step explanation:
2 pairs of parallel sides. 4 right angles (90°). Opposite sides are parallel and congruent. All angles are congruent.
solve for x
5x+3=5
please i will give brainliest
Answer:
x = 2/5 or 0.4
Step-by-step explanation:
5x + 3 = 5
-3 -3
5x = 2
/5 /5
x = 2/5 or 0.4
HELP PLEASE 8 2/5 MINUS 4 5/8 PLEASE
Answer:
3.775 or 151/40
Step-by-step explanation:i am 99% sure thats the answer :)
Please help me. Thank you so much!
Answer: the answer is d. 7.2 feet
Step-by-step explanation: hope this helps!
value of m= 2
3m square - 2m - 7
Answer:
11m
Step-by-step explanation:
What is the solution of
Answer:
x = 50/9
hope it's helpful ❤❤❤
THANK YOU.
FOR 40 POINTS!!!!! PLEASE ANSWER THE QUESTION!!!!!!!! And i will mark you brainlist
Classify the deposit investment:
You want to put a $30,000 down payment on a storefront for a new business that you plan on opening in 5 years. How much should you deposit quarterly into an account with an interest rate of 1.23%, compounded quarterly?
Answer:
jayfeather friend me
Step-by-step explanation:
$203,904
What amount would you have if you deposited $1,800 a year for 30 years at 8 percent (compounded annually)? $1,800 113.28 = $203,904 (TVM Table-Page 41) 5.
1. Find the slope. Make sure to reduce.
Answer:
1/2
Step-by-step explanation:
Rise/run
What is the speed of a car that goes 299 kilometers in 2 hours?
Answer:
149.5km/s
Step-by-step explanation:
speed= distance/time
distance= 299km
time=2hours
speed=299/2
speed=149.5km/h
Answer: 149.5 km/h or 92.58 mph
Step-by-step explanation:
Divide 299/2 to get the Kilometers Per Hour= 149.5
In Miles Per Hour it's about 92.584308 Miles per Hour.
what's 15 times 5 - 3 + 10
Answer:
180
Step-by-step explanation:
if its
15 x (5-3+10)
Answer:
82
Step-by-step explanation:
15*5=75
75-3=72
72+10=82
Please help will give Brain!!
Answer:
dude how the heck can you give someone a brain, if you dont even have one yourself
Step-by-step explanation:
Please help! I need help
Answer:
median is 32 and the mean is 21
what is the slope y =5x - 1?
Answer:
slope is 5/1
Step-by-step explanation:
y=mx+b
m=slope
Answer:
The slope is 5.
Step-by-step explanation:
Y is the y-axis. 5 is the slope. X is the x-axis. -1 is the y-intercept.
Help please due tonight
Solve the system of equations using elimination: 2x + 3y = -1 and -2x + 4y = 8
find the surface area
Answer:
the answer to your question is 7.5
Divide 200kg in the ratio 15:9:1
Answer:
120kg, 72kg and 8kg
Step-by-step explanation:
Given the ratios 15:9:1
total ratio = 15+9+1 = 25
For the ratio of 15
Share = 15/25 * 200
Share = 3000/25
Share = 120kg
For the ratio of 9
Share = 9/25 * 200
Share = 1800/25
Share = 72kg
For the ratio of 1
Share = 1/25 * 200
Share = 200/25
Share = 8kg
An Olympic runner set a record for the 100m event. The time was ten and sixty two hundredths seconds. Express the decimal form of the given time
please help me
Help! Will mark brainliest ✨
Answer:
C=-2
Step-by-step explanation:
Plus 14 to both sides then divide both side by -5
In your own words, explain the process of how you would divide 2/3 by 1/2
Answer:
Down below :) Hope this helps!
Step-by-step explanation:
To divide fractions, you have to flip the second fraction.
For example, 2/3 divided by 1/2 is the same thing as 2/3 x 2/1, you have to flip the second fraction. When you do this, your answer will be 4/3 or 1 1/3.
Answer:
i would multiply the 2 numerators first then the 2 bottom numbers or i would factor it by a common denominatior which is 6
Step-by-step explanation: