a bike requires 2 hours of assembly and a swing 3 hours. a maximum of 250 hours of assembly time are available. the profit is $50 on a bike and $20 on a swing. if no more than 100 items can be produced how many of each should be assembled for maximum profit?

Depends upon what's the quadrilateral is

Solving according to square

Perimeter=4a

So

Area:-

22²=484units²

The law of cosine helps us to know the third side of a triangle. The value of third side c is 20.87.

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,

[tex]c =\sqrt{a^2 + b^2 -2ab\cdot Cos\theta}[/tex]

where

c is the third side of the triangle

a and b are the other two sides of the triangle,

and θ is the angle opposite to the third side, therefore, opposite to side c.

Given, in ΔABC, a = 32, b = 21 and the angle between a and b is 40°, therefore, the value of ∠C=40°.

Now, the value of the third side of the triangle using the cosine law can be written,

[tex]c=\sqrt{a^{2}+b^{2}-2 a b \cdot \cos \gamma}\\\\c=\sqrt{32^{2}+21^{2}-2(32 \times 21)\cdot \cos 40^o}\\\\c=\sqrt{1,024+441-1,029.5637}\\\\c=20.867 \approx 20.87[/tex]

Hence, the value of third side c is 20.87.

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Answer:

50,000 years 90 months 17 days and 82 mins ok ok cool.

Step-by-step explanation:

ExplanatiOn

Step-by-step explanation:

i) 0.0031 (or) 3.1×10^(-3)

ii) 0.0013 (or) 1.3×10^(-3)

I hope It helped you

Answer:

30  and 110 degrees

Step-by-step explanation:

The angles sum to 360 degrees

  you have   60 + 160 = 220    leaving   140 more in a ratio  3:11

     one is   3 / (3+11) = 3/14      3/14 * 140 = 30    the other is 110

Answer:

D

Step-by-step explanation:

Since a fraction is a division problem, you can do every answer and compare them until you get them in order, which D is the most reliable.

Answer:

(3) 51,480

Step-by-step explanation:

One mile is equal to 5,280 feet, so 26 miles is equa

Answer:

Step-by-step explanation:

There are 3 triangles in the picture: the one on the left, the one on the right, and the overall triangle. We must first find the areas of the two smaller triangles before finding the area of the whole thing.

To find the area of a triangle, you must multiply the two legs of the triangle by each other and then divide that number by 2. For the left triangle, this would be [tex](4*4)/2=8[/tex], meaning it has an area of 8 square meters. For the right triangle, this would be [tex](4*3)/2=6[/tex], meaning the triangle on the right has an area of 6 square meters.

There are multiple ways to find the area of the big triangle, since the hypotenuse of the left triangle has been rounded. One way to find the area of the big triangle,is to add the areas of the two smaller triangles: [tex]8+6=14[/tex] square meters. For a more exact answer, we would solve [tex](5.7*5)/2=14.25[/tex]sqaure meters using the legs of the big triangle.

Hope this helps! :)

Answer:

they are adjacent angles

Step-by-step explanation:

for adjacent angles

[tex]{(x + 3)}^{o} = {84}^{0} \\ x = 84 - 3 \\ x = 81[/tex]

Answer:

Step-by-step explanation:

P(less than 6) = 2/5

There are 5 spaces total. Of these, only 2 spaces are less than 6, namely the pizza slices labeled "4" and "5".

That's how we get to 2/5

Answer:

Length: 7 11/27 ft.

Step-by-step explanation:

200/27 = 7 11/27

Answer:

2.04

Step-by-step explanation:

[tex]5.33-3.29=2.04[/tex]

Answer:

2.04

Step-by-step explanation:

5.33-3.29=2.045.33−3.29=2.04

Answer:

m = 1.5

Step-by-step explanation:

Find two points

(-2,-1) and (0,2)

now use slope formula

[tex]\frac{y_{1} -y_{2} }{x_{1}-x_{2}}[/tex]

2-(-1)/0-(-2)

3/2 = 1.5

slope is 1.5

Answer:

r=8

Step-by-step explanation:

Correct option is C)

Given, Circumference =16π

The circumference of a circle is given by 2πr.

Hence, 2πr=16πft

πr=8πft

r=8ft

Pls give me crown

If the number of the seats are vacant is 8. Then the number of chairs in a row will be 8.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

64 chairs were arranged in equal rows. 56 students came to sit in the chairs. If the same number of students sat in each row. Then the number of the chair in a row will be

Let the number of the row be x. Then we have

[tex]\rm \dfrac{64}{x} = 8\\\\\\x \ \ = 8[/tex]

Then the number of the row is 8.

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Answer:

79 ft

Step-by-step explanation:

Golden rectangle side ratios   1 : (1+sqrt5 )/2

      (approx  1: 1.618)

15 + 15   +  2*15*1.618 = ~79 ft

BUT perhaps the 15 is the 1.618 side

15/1.618 + 15/1.618   + 15 + 15   ~ 49 feet

Answer:

$12089.26

Step-by-step explanation:

10,000

1.024 (100% of 10,000 + 2.4%)

1.024 * 10,000 = 10240 (1 year)

1.024 * 10240 = 10485.76 (2 years)

1.024 * 10737.42 = 10995.12 (3 years)

1.024 * 10995.12 = 11259 (4 years)

1.024 * 11259 = 11529.22 (5 years)

1.024 * 11529.22 = 11805.92 (6 years)

1.024 * 11805.92 = 12089.26 (7 years)

Answer:

(-4,-2)

Step-by-step explanation:

This is because in order to reflect over the x-axis, the x-axis stays the same and the y-value is the exact opposite of the original y-axis.

(x, y) = (x, -y) in other words.

This is as simple as I can put it, hope this helps :)

Please tell me if you need more help.

Answer: (-4,-2)

Step-by-step explanation:

the rule for reflecting over the x axis is

(x,y) = (x,-y)

(-4,2) = (-4, -2)

hope this helps :)

Answer: Choice C

Vertex = (5, -2)

===============================================

Explanation:

Vertex form is [tex]y = a(x-h)^2 + k[/tex] where the vertex itself is located at (h,k)

As the name implies, we can very quickly pull out the coordinates of the vertex without doing much math at all.

In the case of choice C, we have [tex]y= \frac{1}{2}(x-5)^2 - 2[/tex] which is the same as [tex]y = \frac{1}{2}(x-5)^2 + (-2)[/tex] and we can see that h = 5 and k = -2. Therefore, the vertex is located at (h,k) = (5, -2)

Answer:

SO EVERYONE WOULD SHOUT LOOK AT THE S CAR GO

Step-by-step explanation:

Answer:

If the four number sentences at the bottom are the choices for your answer the correct one would be choice A or 1.  

I hope this is what you meant if not I'll try to take my answer down and try to answer it again correctly!

The direction of the north is taken as positive on the x-axis that is (x + 5, y). Then the correct option is B.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

For the first part of the obstacle course.

Helena needs to sprint as fast as she can to Checkpoint A, which is 5 units north of her starting point.

Then the coordinate point will be

Let the direction of the north is taken as positive on the x-axis. Then we have

(x, y) → (x + 5, y)

Thus, the correct option is B.

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Answer:

x would equal 8.

Step-by-step explanation:

Since when y = 12, x = 8, when y is 24, it is multiplied by 2. Multiple the x by 2 and it would be 8.

Answer:

t = 11 years

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 9/100

r = 0.09 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(14,382.05/5,403.00) / ( 4 × [ln(1 + 0.09/4)] )

t = ln(14,382.05/5,403.00) / ( 4 × [ln(1 + 0.0225)] )

t = 11 years

Summary:

The time required to get a total amount of $14,382.05 with compoundeded interest on a principal of $5,403.00 at an interest rate of 9% per year and compounded 4 times per year is 11 years.

Answer:

6 bags

Step-by-step explanation:

72 divide by 12 equals 6.

By checking the definitions of typical functions, we conclude that the function f(x) = 3 · 1.5ˣ is an exponential growth function. (Correct answer: D)

In this question we must determine the kind of function according to its characteristics based on definitions of typical functions, which are represented below:

Quadratic

y = a · x² + b · x + c

This function is reduced into a linear function when a = 0.

Exponential

[tex]y = a \cdot b^{c\cdot t}[/tex]

Where:

By checking the definitions of typical functions, we conclude that the function f(x) = 3 · 1.5ˣ is an exponential growth function. (Correct answer: D)

The statement is poorly formatted. The correct statement is presented below:

Identify the type of function represented by f(x) = 3 · 1.5ˣ:

A. Quadratic

B. Exponential decay

C. Linear

D. Exponential growth

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Answer:

2, 1, 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

None of the answers look right to me unless you are given something I'm not aware of.

A(x) can be factored. When it is, the following is what is obtained.

A(x) = (x- 3)(x - 3)

Since the area of a square is

Area = s^2

where s is the length of the side, you can find the square root by using the rules of roots.

s^2 = (x - 3)(x - 3)

√s²= √(x - 3)²

√s² = s

√(x - 3)² = x - 3

Therefore the answer should be s = x-3

The only thing I think you can do is ask whoever is presenting the course how any of those answers are obtained.

Answer:

x-3

Step-by-step explanation:

thats what the guy above me's answer is to make it easier