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Bond [772]
2 years ago
9

The area of a rectangle is 44 square units. Its length measures 4 units. Find the length of its diagonal. Round to the nearest t

enth of a unit.
Mathematics
1 answer:
NikAS [45]2 years ago
3 0

Answer:

√(137)

Step-by-step explanation:

First, you will need to find the other side length.....then you can use the Pythagorean Theorem to find the diagonal:

L x W = 44

4 x W = 44

W =11

Now the Pythag, Theorem:

 diagonal^2 = 4^2 + 11^2

        d^2 = 16+121

         d^2 = 137

          d = √(137)

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Two friends wash cars to make extra money. The profit P(x) of one friend after x days can be represented by the function P(x) =
bekas [8.4K]

According to the profit equations given, it is found that since the number of days has to be a positive value, hence the viable answer is that they earn the same profit after 3 days, while the nonviable answer is -4.

<h3>What are the profit equations?</h3>

For the first friend, it is:

P(x) = -x^2 + 5x + 12

For the second, it is:

Q(x) = 6x.

The system we solve to find when they earn the same profit is given by:

P(x) = Q(x)

-x^2 + 5x + 12 = 6x

x^2 + x - 12 = 0

Which is a quadratic equation with coefficients a = 1, b = 1, c = -12. Hence:

\Delta = b^2 - 4ac = 1^2 - 4(1)(-12) = 49

x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-1 + 7}{2} = 3

x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-1 - 7}{2} = -4

The number of days has to be a positive value, hence the viable answer is that they earn the same profit after 3 days, while the nonviable answer is -4.

More can be learned about a system of equations at brainly.com/question/24342899

8 0
2 years ago
40= x times -4/7. <br>What is the answer​
AleksAgata [21]

Answer:

The answer to the question provided is -70.

4 0
3 years ago
The population of the world was about 5.3 billion in 1990. Birth rates in the 1990s range from 35 to 40 million per year and dea
frosja888 [35]

Answer:

  24.1 billion

Step-by-step explanation:

One way to write the logistic function is ...

  P(t) = AB/(A +(B-A)e^(-kt))

where A is initial value (P(0)), and B is the carrying capacity (P(∞)). We are told to use relative population growth in the 1990s as the value for k.

In billions, we have ...

  A = 5.3

  B = 100

  k = 0.02/5.3 ≈ 0.003774 . . . . . relative growth rate at 20 M per year

  t = 2450 -1990 = 460

  P(t)=\dfrac{530}{5.3+94.7e^{-0.003774t}}\\\\P(460)=\dfrac{530}{5.3+94.7e^{-1.73604}}\approx \boxed{24.1\quad\text{billion}}

8 0
3 years ago
Find the surface area of the cylinder. Round your answer to the nearest hundredth.
timama [110]
Surface area=area around+2(cap)
area around =circumference times height=2*pi*6*15.1=569.257
caparea=circle area=pi*r^2=3.14*6^2=113.097
we need twice of that so 226.195
total surface area=569.257+226.195=795.451 square inches
answer is C
8 0
3 years ago
The measure of each angles
Aleks [24]
Supplementary angles is when 2 angles add up to 180 degrees.

We will name the smaller angle a and the bigger angle b.

therefore:

b - 172.6 = a

a + b = 180

Now we substitute:

a + b = 180
b - 172.6 + b = 180
2b - 172.6 = 180
2b = 352.6
b = 176.3

To find a:

a + b = 180
a + 176.3 = 180
a = 3.7

Therefore,

angle a = 3.7 degrees
angle b = 176.3 degrees.

Hope it helps and have a great day ahead
4 0
3 years ago
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