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Vlad [161]
3 years ago
10

Sin(7pi/6) help plz

Mathematics
1 answer:
NeTakaya3 years ago
8 0

Answer:

Step-by-step explanation:

Note that 7pi/6 is equivalent to 6pi/6 + 1pi/6, which is equivalent to pi plus pi/6, or 180 degrees plus 30 degrees.  7pi/6 is in Quadrant III; its "opposite side" is -1 and its "hypotenuse is 2."  Thus, the sine of (7pi/6) is  the ratio

  opp side            -1

------------------- = ------------     This matches Answer B.

hypotenuse           2  

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Stanley has a collection of seashells. He found 35% of his collection on Florida beaches. If Stanley has 49 seashells from Flori
m_a_m_a [10]

Answer:

The number of seashells he have in his collection all together is <u>140</u>.

Step-by-step explanation:

Given:

Stanley has a collection of seashells. He found 35% of his collection on Florida beaches.

Stanley has 49 seashells from Florida.

Now, to find the number of seashells of his collection altogether.

Let the number of seashells all together be x.

Percentage of seashells found on Florida beaches = 35%.

Number of seashells found on Florida beaches = 49.

Now, to get the number of seashells altogether we put an equation:

35\%\ of\ x=49.

⇒ \frac{35}{100} \times x=49

⇒ 0.35\times x=49

⇒ 0.35x=49

Dividing both sides by 0.35 we get:

⇒ x=140.

Therefore, the number of seashells he have in his collection all together is 140.

4 0
2 years ago
The line l passes through the point P = (1,-1,1) and has direction vector d = [2,3,1]. Determine whether l and the plane 4x-y+5z
suter [353]
Hello : 
the normal vector of the plane is : d' = [4,-1,5]...(vector  perpendicular to the plane)<span>
d </span><span>⊥ d' because : (4)(2)+(-1)(3)+(5)(1)=0
</span>the line is perpendicular to the plane .
3 0
3 years ago
Mars is extremely far from the Earth. Scientists estimate that it could take astronauts 245​​​​​​​ days to travel from Earth to
Ksivusya [100]

Answer:

Step-by-step explanation:

We would liken the given scenario to distance speed and time relationship. The formula for determining average speed is

Total Distance/ total time

Since the distance between Earth and Mars is 108 million miles(108 × 10^6) the trip takes 245 days, then on average, the number of miles that the astronauts would travel each day would be

108 × 10^6/245 = 440816 miles per day

Writing in powers of 10, it becomes 4.4 × 10^5 miles per day

Rounding to the nearest whole number, it becomes 4 × 10^5 miles per day

3 0
3 years ago
In triangle ABC shown below, side AB is 6 and side AC is 4:
sveticcg [70]

To prove that segment DE is parallel to segment BC and half its length, Translate ABCDE left 4 units and down 2 units

<h3>What is a transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>translation, rotation, reflection and dilation.</em>

Dilation is the increase or decrease in the size of a figure.

To prove that segment DE is parallel to segment BC and half its length, Translate ABCDE left 4 units and down 2 units.

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

5 0
1 year ago
Suppose △LPO ≅ △HJU.<br> What is the corresponding congruent parts for each segment or angle?
SashulF [63]

Answer:

NG ( first and last letter of NBG)  = WS ( first and last letter of WTS).

BG = TS

G = S

N =W or NG = WS; BG = TS; G = S; N = W.

Step-by-step explanation:

We use the congruence statement to answer these questions.  From the way the congruence statement is written, we can see that N = W (they are in the same relative position in the congruence statement).  We also see that G and S are in the same relative position, so G = S.

Since N = W and G = S, this means that NG = WS.

From the congruence statement we can also see that B = T (they are in the same relative position).  Since G = S, this means that BG = TS.

5 0
3 years ago
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