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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It’s worth 10 points if you answer!

Maksim231197 [3]

Answer:

m∠x = 10°

Step-by-step explanation:

Since we are dealing with a <u>right triangle</u> and its two sides and one angle, we can use <u>trigonometry ratios</u>. Remember them all with the acronym SohCahToa.

"o" is for opposite side, "a" is for adjacent side, "h" is for hypotenuse side.

The ratios are:

sinθ = opposite/hypotenuse

cosθ = adjacent/hypotenuse

tanθ = opposite/adjacent

θ means the "angle of reference", or the angle you know or want to find. This determines which side is adjacent (touching) or opposite (not touching). The hypotenuse (longest side) does not change.

In this triangle, θ = x. The sides we know are hypotenuse and opposite. Therefore, we will use the sinθ ratio.

sinθ = opposite/hypotenuse

sinx = CB/AB Substitute the labels in the diagram

sinx = 4/23 Substitute known values (side lengths)

x = sin⁻¹(4/23) Isolate 'x'. Use calculator to solve.

x = 10.015....° Exact answer

x ≈ 10° Round to the nearest degree

Therefore the measure of angle x (m∠x) is 10°.

8 0

3 years ago

I don't get this problem

DerKrebs [107]

Answer:

22.2%

Step-by-step explanation:

Probability is the chance of an event happening, it can be found by using the following formula,

$\frac{desired}{total}$

Where the word (desired) represents the outcomes one wants, and (total) represents the total number of outcomes.

In this case, one is asked to find the probability of the sum of two numbers the results from rolling two dice, not being a multiple of (3) or (2). In this case, it is easier to list out the number of numbers between (1) and (12) that are not a multiple of three or two. Please note, the largest sum of number one can get when rolling two dice is (12), since the largest value on a dice is (6), and (6+6) equals (12).

Not multiples of (3) or (2):

1, 5, 7, 11

There are (4) numbers that are not multiples of (2) or (3). This means that there are (8) multiples of (2) or (3) between the numbers of (1) and (12), since (12 - 4 = 8)

The total number of outcomes is the following:

$6^2=36$