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.)

If so, [tex]m=\frac{x+a}{2}[/tex] when solved for x will yield [tex]x=2m-a[/tex].

Hope this helps.

Step-by-step explanation:

x-3y=9

x=9+3y

x=12y

Answer:

The Answer Is 8 five dollar bills

Step-by-step explanation:

First you Multiply 5 by 8 Then divide the answer by 5

Answer:

y = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

y = 4x - 10

x = 3

Step 2: Evaluate

Answer:

The simplified system is the arbitrary solution of the original system of equations

Step-by-step explanation:

Y=2 and x=3

Correct me if I’m wrong.

Hope this helps

Answer:

I think of a number z,add 3 to it, then l subtract 8 from it.My answer is 10

Answer:

[tex] 9\frac{1}{3} [/tex]

Answer:

[tex]sec\ x = \frac{25}{24}[/tex]

Step-by-step explanation:

Given

[tex]sin\ x = -\frac{7}{25}[/tex]

[tex]cot\ x = -\frac{24}{7}[/tex]

Required

Determine sec x

Sec x is calculated as:

[tex]sec\ x = \frac{1}{cos\ x}[/tex]

Multiply by sin x/sin x

[tex]sec\ x = \frac{1}{cos\ x} * \frac{sin\ x}{sin\ x}[/tex]

[tex]sec\ x = \frac{1}{sin\ x} * \frac{sin\ x}{cos\ x}[/tex]

[tex]sec\ x = \frac{1}{sin\ x} * \tan\ x[/tex]

[tex]tan\ x = \frac{1}{cot\ x}[/tex]

[tex]sec\ x = \frac{1}{sin\ x} * \frac{1}{cot\ x}[/tex]

The equation becomes:

[tex]sec\ x = \frac{1}{-7/25} * \frac{1}{-24/7}[/tex]

[tex]sec\ x = \frac{-25}{7} * \frac{-7}{24}[/tex]

[tex]sec\ x = \frac{25}{24}[/tex]

Answer:

y>-12

Step-by-step explanation:

y+14>2

y+14-14>2-14

y>-12

Answer:

5*10.88 + 5*11.87=113.75

120-113.75=6.25

$6.25

Step-by-step explanation:

Answer:

1 1/4

Hope this helps

Answer: I think the answer is 1 1/4

Step-by-step explanation:

Answer:

18.6

Step-by-step explanation:

Answer:

18.6

Step-by-step explanation:

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Answer:

i) Mean = 1933.1817

ii) Range = 5684

iii) Third quartile = 6054

Step-by-step explanation:

Given data :

currency exchange rate : 1 AUD = 5.8 HKD

cost of each ounce = 2 AUD

Fixed shipping cost for each carton = 80 HKD

number of cartons = 20

next determine the total cost of the 20 cartons in HKD

= ∑(weight in ounce * cost of each ounce *exchange rate) +fixed shipping cost

= ∑ ( 160*2*5.8 + 80 )  + -------------- + (650 *2*5.8 + 80 ) ----------------- ( 1 )

= 81756 HKD

i) find the mean value ( X )

= Total cost / number of cartons

= 81756 / 20 = 4087.8

ii) Find the standard deviation

= [tex]\sqrt{\frac{(1936-4087.8)^2+-----+(7620-4087.8)^2}{20-1} }[/tex]      note: std =  √∑(xi-X )^2 / (n-1)

= 1933.1817

iii) Find the range

Range = highest cost - lowest cost   ( values gotten from equation 1 )

           = 7650 - 1936

           = 5684

iv) Determine the third quartile

third quartile = 6054

attached below is the detailed solution

Answer:

x=-36

Step-by-step explanation:

Answer:

83 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\text{To find :} \\ \\ 1.) \ \ \text{More than 20} \\ \\ 2) \text{Less than 30 } \\ \\ 3) \ \text{Within the range of }( \mu - \sigma , \mu +\sigma)[/tex]

[tex]\ \ \ Since \ \ X \ \text{follows a poisson distribution and;} \\ \\ X\sim Poisson (0.57) per \ gram \\ \\ X \sim Poisson (28.5) \ per \ 50 \ grams \\ \\[/tex]

[tex]1) \ \ \ \text{The probability } P(X>20) = \sum \limits ^{50}_{x=21} \dfrac{e^{-28.5}\times 28.5^x}{x!} \\ \\ \mathbf{ = 0.9389}[/tex]

[tex]2) P( X<30) = \sum \limits ^{29}_{x=0} \dfrac{e^{-28.5}\times 28.5^x}{x!} \\ \\ \mathbf{=0.5861}[/tex]

[tex]\text{3) Since then mean}\ \mu = 28.5 \\ \\ \sigma =\sqrt{28.5} = 5.339 \\ \\ \mu - \sigma = 28.5 -5.339= 23.161 \\ \\ \mu + \sigma = 28.5 + 5.339 = 33.839[/tex]

∴

[tex]P(23.161 < X< 33.839) = \sum \limits ^{33}_{24} \dfrac{e^{-28.5}\times 28.5^x}{x! } \\ \\ = P(X\le 33) - P( X \le 23) \\ \\ = 0.82678 - 0.1750 \\ \\ \mathbf{= 0.6516}[/tex]

Answer:

2πr/d

Step-by-step explanation:

Circumference = 2πr

Pi = circumference/diameter

=2πr/d

Answer:

Mean: [tex]20.2[/tex], Median: [tex]20[/tex], Mode: [tex]18[/tex]

Step-by-step explanation:

The mean or average of a data set is calculating by dividing the sum of the data values by the number of the data values. In this case, the sum of the data values is [tex]18+24+20+18+21=101[/tex] and the number of data values is [tex]5[/tex], so the mean is [tex]\frac{101}{5}=20.2[/tex].

The median of a data set is the middle value when the data is ordered in ascending order, meaning least to greatest. Right now, the data is not in ascending order, but after ordering it, we get [tex]18,18,20,21,24[/tex]. Since there are [tex]5[/tex] data values in this set, the middle value, or median, will be the [tex]3[/tex]rd value, which, in this case, is [tex]20[/tex].

Finally, the mode of a data set is the most frequent value, or the value that shows up the most. In this case, [tex]18[/tex] shows up twice, unlike the other numbers, which only show up once, so we know that the mode is [tex]18[/tex]. Hope this helps!

Answer:

-80x+24

Step-by-step explanation:

Answer:

24ounces

Step-by-step explanation:

16 ounces is 2x 8

8=1:1 ratio

8x3=24

2:3 = 16:24

9514 1404 393

Answer:

  $541.32

Step-by-step explanation:

Putting the given values into the given formula, you have ...

  V = P·e^(rt)

  V = $277e^(0.067·10) ≈ $541.32

Answer:

52 m²

Step-by-step explanation:

12x3 = 36

2 x (11-3) = 2x8 = 16

36+16 = 52

Step-by-step explanation:

12 x 10 x 3 = 360

8 x 11 x 2 = 176

once you get the final amounts you add them to gather which is 536.

Hope This Helped You :)

Answer: Option B.

Step-by-step explanation:

When we have an interval with lower bound m and upper bound M, such that:

m ≤ x ≤ M

The mid-point is:

(m + M)/2

in this case, we have:

m = 22

M = 27

then the mid-point is:

(22 + 27)/2 = 24.5

and we know that f = 7, then:

f*x = f times the mid-point = 7*24.5 = 171.5

The correct option is B.

Answer:

x=20

Step-by-step explanation:

Since the sides are congruent that means the angles are congruent

When they are congruent you can equal them to each other

9x + 80 = 7x + 120

2x= 40

x=20

Step-by-step explanation:

f is a parabola that opens upward.

Answer:

0.85 pounds

Step-by-step explanation:

We start with a bag that weighs 4.75 pounds and want to find the weight of the pairs added to the bag.

Let x equal the weight of the pairs added to the bag.

We can write an equation containing 4.75 pounds and x, and solve for x to find this weight value.

We know that the final weight of the bag is 5.6 pounds, so we can substitute this value for y.

Subtract 4.75 from both sides of the equation.

The weight of the pairs added to the bag is 0.85 pounds.

Answer:

$9,287.67

Step-by-step explanation:

Number of years 5

Interest per pd 3%

FV 10,000

Calculator.net has a financial calculator that will greatly help you

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

The amount to deposits so that after 5 years, 10,000 is the amount is

$7,440.94

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

r = 6%

n = 2

A = $10,000

t = 5 years

A = P [tex](1 + r/n)^{nt}[/tex]

P = 10,000 / [tex](1 + 0.03)^{10}[/tex]

P = 10,000 / [tex](1.03)^{10}[/tex]

P = $7,440.94

Thus,

The amount to deposits so that after 5 years, 10,000 is the amount is

$7,440.94

Learn more about compound interest here:

https://brainly.com/question/13155407

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