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4 years ago

From the graph; calculate: E=

Mathematics

1 answer:

Ket [755]4 years ago

5 0

<h3>Answer:</h3>

c) 7π cm

<h3>Step-by-step explanation:</h3>

The length of an arc (s) is related to its central angle (θ) and the radius of the circle (r) by ...

... s = rθ . . . . . . . . . θ in radians

Here, the central angle measures are given in "grads". There are 400 grads in a circle, so 200 grads in π radians. To convert grads to radians, we multiply the number of grads by π/(200g).

Then the lengths of the arcs are ...

... arc AB = (20 cm)·(50g·(π/(200g))) = 5π cm

... arc BC = (10 cm)·(40g·(π/(200g))) = 2π cm

E = arc AB + arc BC = 5π cm + 2π cm = 7π cm

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Which is the graph of f(x)= square root of x

insens350 [35]

Hello!

The answer for f(x) = sqrt x is the image below. It is neither of these, so check to see if you have more answer choices. (Just make sure to pay attention to the x- and y-values that the graph is plotted on below)

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4 0

4 years ago

One variable examined is the survival rate 10 years after tagging. The scientists observed that 10 of the 50 metal tagged pengui

Oksana_A [137]

Answer: 90% confidence interval would be $(-0.2483,-0.0717)$

Step-by-step explanation:

Since we have given that

n₁ = 50

Number of metal tagged penguins survived = 10

So, $p_m=\dfrac{10}{50}=0.2$

n₂ = 50

Number of electronic tagged penguins = 18

So, $p_e=\dfrac{18}{50}=0.36$

So, at 90% confidence interval, z = 1.28

So, interval would be

$(p_m-p_e)\pm z\sqrt{\dfrac{p_m(1-p_m)}{n}+\dfrac{p_e(1-p_e)}{n}}\\\\=(0.2-0.36)\pm 1.28\sqrt{\dfrac{0.2\times 0.8}{50}+\dfrac{0.36\times 0.64}{50}}\\\\=-0.16\pm 0.0883\\\\=(-0.16-0.0883,-0.16+0.0883)\\\\=(-0.2483,-0.0717)$

Hence, 90% confidence interval would be

$(-0.2483,-0.0717)$

6 0

3 years ago

Phoenix [80]

Answer:

4:3

Step-by-step explanation:

The computation of the ratio of females to males is shown below

Since it is mentioned that there is 28 students in the class out of which 12 are boys

So, the females are

= 28 - 12

= 16

SO, the ratio of females to males is

16:12

4:3

4 0

3 years ago

Look at the pattern: 2, 20, 200, _________, ________. What are the next two terms in the pattern?

enyata [817]

Answer:

2,000 then 20,000

Step-by-step explanation:

each time it is being multiplied by 10( just adding a zero)

6 0

4 years ago

What's (-7)+9 Ps. This is adding integers

Aloiza [94]

Answer:

Step-by-step explanation:

When two integers are in different sign, subtract and the result will have the bigger number sign

-7 + 9 = 2

Subtract and the 9 is the bigger number and its sign is +. So, the result is = +2 or 2

6 0

3 years ago