The International Space Station has small cupboards that are used for storage. A cupboard door is drawn below. (Look at picture)
What is a formula that can be used to find the area of one triangular section of the door? How do you know the formula will work?
(Please make answer simple yet reasonable. Thank you for answering, have a blessed day everyone! I am thankful to have people to help and support me.)
Answers
By using trigonometric relations we will see that the area is:
[tex]A = h*tan(60\°)*/2 = tan(60\°)*h^2/2[/tex]
How to find the area of one triangular section?
Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.
Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).
h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:
tan(60°) = x/h
x = tan(60°)*h
Then our two catheti are h and tan(60°)*h.
This means that the area will be:
[tex]A = h*tan(60\°)*/2 = tan(60\°)*h^2/2[/tex]
Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).
If you want to learn more about right triangles:
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Answer:
the guy on top is correct
Step-by-step explanation:
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B
What does a single point on the plot represent?
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If you throw exactly two heads in three tosses of a coin you win $35. If not, you pay me $25. Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.
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Answer:
the answer is :
25-30=-10
Write the phrase as an algebraic expression.
Two less than seven times a number c is written as
.
Answers
Answer: 7c-2
Step-by-step explanation:
The temperature was 6 degrees below 0 (in Fahrenheit) today. Write a signed number to represent this temperature.
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Answer:
hmmmm im thinking
Step-by-step explanation:
A factory worker submits the weekly timesheet below. Time-and-a-half is paid for overtime hours over 44 hours a week. How many hours should the worker receive overtime pay for?
Monday
5:00 a.m. – 11:00 a.m.
12:00 a.m. – 4:00 p.m.
Tuesday
5:00 a.m. – 11:00 a.m.
12:00 a.m. – 4:00 p.m.
Wednesday
6:00 a.m. – 11:00 a.m.
12:00 p.m. – 6:00 p.m.
Thursday
6:00 a.m. – 11:00 a.m.
12:00 p.m. – 6:00 p.m.
Friday
5:00 a.m. – 11:00 a.m.
Answers
52-44= 8 hours extra
Answer:
8 HOURS EXTRA JUST DO P.E.M.D.A.S ;]
Step-by-step explanation:
Write a compound statement that results in a true conjunction.
Answers
Answer:
p->q .......................
Yoo can somebody help me?
On each triangle, solve both of them and round to the nearest tenth. Make sure to show your work for both. Thank you in advance.
Answers
Answer:
Step-by-step explanation:
Triangle 1 given: 100° , 17 yds, 30 yds
Triangle 2 given: 30 ,17,18
law of cosines: c^2 = a^2 + b^2 − 2ab cos(C)
we'll also need the formula for a SSS triangle
Cos(C) = a^2 + b^2 - c^2 / 2ab
keeping the above in mind we can now solve both triangles
c = AC for the first triangle
solve law of cosines for what we know
c^2= 17^2 + 30^2 - 2*17*30*Cos(100)
c = 36.96
now use SSS triangle formula to find the angle C, but c = 17 now , not 36.96, that's b
C = arcCos(17^2+36.96^2-30^2/ 2*17*36.96)
C = 42.24°
now use 180 = 100 +42.24 +A to solve the last angle
A= 37.75°
Triangle 1 solved
A= 37.75°
B= 100
C = 42.24°
a= 17
b=30
c=36.96
Triangle 2
given a=17 , b= 18 , c =30
use SSS formula to find one angle, which ever one you want in this case
Cos(C) = a^2 + b^2 - c^2 / 2ab
C = arcCos(17^2+18^2-30^2 / 2*17*18
C= 117.966°
solve for A now
Cos(A) =b^2+c^2-a^2 / 2bc
A = arcCos(18^2+30^2-17^2/2*18*30)
A = 30.03
use 180 again to solve for last angle
180 = 117.966+30.03+B
32.001 = B
Triangle 2 solved
A = 30.03°
B= 32.001°
C= 117.966°
a=17
b=18
c=30
:P whew
Which measure is the largest? 1.2km, 1,220,000mm or 120 meters 120,600cm
Answers
1Km = 1000m
1m = 1000mm
1Km = 1000000mm
1m = 100cm
By making the conversions to the same unit, we can know what measure is greater:
1.2Km = 1200m
120600cm = 1206.00m
1220000mm = 1220m
120m = 120m
Answer
The biggest measure is
1220000mm = 1220m
What is the height of the triangle with an area of 64 square feet and a base of 8 feet?
Answers
Answer:
8
Step-by-step explanation:
8*8 = 64
b*h = a
a farmer wants to fence in three sides of a rectangular field shown below with 960 feet of fencing. The other side of the rectangle will be a river. If the enclosed area is to be a maximum, find the dimensions of the field.
Answers
9514 1404 393
Answer:
240 ft by 480 ft
Step-by-step explanation:
Area is maximized when the long side is half the total length of the fence. That makes the short side (out from the river) be half the length of the long side.
The fenced field dimensions are 240 feet by 480 feet.
__
You can let x represent the length of the long side. Then the length of the short side is half the remaining fence: (960 -x)/2.
The total area is the product of these dimensions:
A = x(960 -x)/2
We note that this is the equation of a parabola with zeros at x=0 and x=960. The maximum will be found on the line of symmetry, halfway between the zeros. That is at x = (0 +960)/2 = 480.
The area is maximized for a long-side dimension of 480 feet. The short sides are 240 feet.
plss help me plsssssss I've been 24 hours studiyng right now soo please help me
Answers
Answer:
1)b 0.48
2) c 0.35
3) a 0.092
4) d 51.2
5) a 4
6) b0.6
7) d 3
8) a 3.33
9) a 37.125
10) c 9.1
6 1/2 + 1 7/10 simplest form mixed numbers
Answers
Answer:
Simplest form - 41/5
Mixed number - 8 1/5
I don't know if you want it like that so...
Step-by-step explanation:
Answer:
8 2/10
Step-by-step example:
1/2 = 5/10
6 5/10 + 1 7/10 = 7 12/10
7 12/10 simplified = 8 1/5
what’s the remainder he’ll please
Answers
Answer: 13
Step-by-step explanation: Add 10+1+1+1=13
Answer:
The remainder is 12 because what is left is 12
(12 cannot be divided by 24)
Hope this helped!
Look at the chart showing a clothing stores daily stock data for the past month . Which statement is a fair conclusion based on the chart
Answers
Answer: c
Step-by-step explanation:
In a certain skyscraper, the elevators whisk you to a restaurant in the skyscraper at a speed of 500 feet in 40 seconds. If the restaurant is 300 feet up, how long will it take you to reach the restaurant by elevator?
Answers
Answer:
24
Step-by-step explanation:
Answer:
ur lame asl
Step-by-step explanation:
Can someone help me please
Answers
Answer:
51ft, 17ft, 39ft
Step-by-step explanation:
longest = x
2nd = [tex]\frac{1}{3}[/tex]x
3rd = x - 12
P = 107
a + b + c = Perimeter
x + [tex]\frac{1}{3}[/tex]x + x - 12 = 107
[tex]\frac{7}{3}[/tex]x -12 = 107
[tex]\frac{7}{3}[/tex]x = 119
x = 51
[tex]\frac{1}{3}[/tex]x = 17
x - 12 = 39
Please help I don’t understand
Answers
My guess is 21
need help pls geometry question
Answers
Answer:
Step-by-step explanation:
sin 45 = x/12
x = 12 sin 45
x = 6√(2)
answer is D
A B C OR D SOMEONE HELP
Answers
Answer:
B
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals. For example. if the slope of a line is 2, the slope of a line perpendicular to it would be [tex]-\frac{1}{2}[/tex]. If the slope of a line [tex]-\frac{1}{3}[/tex], the slope of a line perpendicular to it would be 3.
Negative reciprocals always have a product of -1, since the numerators cancel out and one of the values is negative.
I hope this helps!
Question 1.:
Which comparison is incorrect?
-3 > -7
-9 > 4
-4 > -6
7 > 5
________________________________
Question 2:
Which group of numbers is listed from least to greatest?
-4, -6, -7, -8, -9
-2, 3, 5, -8, 9
7, 4, -6, -7, -9
-2, -1, 0, 4, 9
Answers
Answer:
-7 is bigger
-9 is bigger
-6 is bigger
7 is bigger
I think.....
-9,-8,-7,-6,-4
-9,-7,-6,4,7
-2-1,0,4,9
-8,-2,3,5,8 ?
I guess I didn't understand the question
Which function is shown in the graph below?
10
8
.
.4
0.5, 0.4(1.0)
ᎨᎲᎢ
4
0
8
-2
1-4
1-3
-10
Answers
Answer:
square root function is the correct answer
The solution is, y = 2 ^ (x + 2) +3, is the function is shown in the graph below.
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
here, we have,
For this case we observe the cut point with the y axis in:
(0, 7)
The function that complies with this is:
y = 2 ^ (x + 2) +3
We have then:
y = 2 ^ (0 + 2) +3
y = 2 ^ (2) +3
y = 4 + 3
y = 7
Answer:
The answer for this case is given by:
y = 2 ^ (x + 2) +3
option 2
Hence, The solution is, y = 2 ^ (x + 2) +3, is the function is shown in the graph below.
To learn more on graph click:
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make sure to show how you got your answer
Answers
Answer: 0.075
Step-by-step explanation: when you are working with percentages to decimals you want to move the decimal two places to the left. If you are working with decimals and you want to make it a percentage you would move the decimal two places to the right.
Answer:
7.5% = 0.075
Step-by-step explanation:
Whenever you're converting a percentage into a decimal, you multiply the percentage by 100, or move the decimal point two points to the left. So, 7.5% as a decimal is 0.075.
A school sells 712 tickets for a talent show. Adult tickets cost $8 each, and children's tickets cost $4 each. A total of $4,256 is collected
from ticket sales. Which system of equations can be used to determine the number of adult tickets sold, x, and the number of children's
tickets sold, y?
O A. x + y = 712
4x + 8y = 4,256
OB. x + y = 712
8x + 4y = 4,256
C. X + 8y = 712
x + 4y = 4,256
OD. 8x + y = 712
4x + y = 4,256
Answers
Answer:
B
x + y = 712
8x + 4y = 4,256
Step-by-step explanation:
If x=the amount of adult tickets, and y=the amount of children's tickets, then the total amount of tickets (712) should be x+y. Our first equation: x+y=712
The total made from adult tickets is found by multiplying the amount of tickets by the price per ticket: 8x. The total made from children's tickets is found by multiplying the amount of tickets by the price per ticket: 4y.The total amount of money made (4256) is the sum of the amount made by adult tickets (8x) and the amount made by children's tickets (4y). Our second equation: 8x+4y=4256
Maria is selling knitted hats and scarves at the Craft Market.
• A hat requires 15 minutes to make.
• A scarf requires 30 minutes to make.
• Maria has 300 minutes to make the hats and scarves.
Additionally,
• Maria wants to make no more than 16 items.
• When Maria sells the necklaces and wristbands at the Craft Market, she will make $2.00 profit per hat and $4.00 profit per scarf.
Let x = the number of hats Maria makes.
Let y = the number of scarves Maria makes.
Answers
Answer:
i dont know yet, ill try to figure it out
Can someone please Simplify (a^2)^5
Answers
Answer:
[tex]a^{10}[/tex]
Step-by-step explanation:
[tex]a^{2*5}[/tex]
Answer:
Step-by-step explanation:
the rule for an exponent raised to another exponent is
(a^b)^c = a^(bc)
In this case
(a^2)^5
a^(2(5))
a^(10)
Please help me solve
Answers
Answer:
s= -2
Step-by-step explanation:
Find the missing exponent.
10
100
Submit
Answers
Help please and thanks
Answers
Hopes this helps
multiplication: 2x12=__________
Answers
Answer:24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
12+12=24
25) Which number is a common factor of 16 and 56?
Answers
Answer:
Factors of 16: 1, 2, 4, 8, 16
Factors of 56: 1, 2 , 4, 7, 8, 14, 28, 56
GCF: 8
Step-by-step explanation: