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anzhelika [568]
3 years ago
8

What is the value of r if 3r =243?​

Mathematics
2 answers:
amid [387]3 years ago
5 0

Answer:

81

Step-by-step explanation:

Simplify the equation. 3r=243, so divide 3 on both sides, and you get r=81, hence 81 is the answer.

patriot [66]3 years ago
3 0

Answer:

243 divided by 3 equals 81 so r=81

Step-by-step explanation:

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Solve the triangle if c = 10 and A = 50 degrees
Nata [24]

Answer:

Step-by-step explanation:

Since A = 50 degrees, c = 10 ,and since it is a right Triangle, then C = 90 degrees and so B = 180 - (90 +50)......... sum of angles of a triangle

                            B = 180 - 140

                             B = 40 degrees

Using sine rule : a/sin A = b / sin B = c / sin C

To calculate a, then we use a/ sin A = c / sin C , since we know c and C

i.e a/ sin 50 = 10 / sin 90

recall that sin 90  = 1

then we have a / sin 50 = 10 / 1

cross multiply

a = 10 x sin 50

 a = 10 x 0.76604

  a = 7.6604

We will calculate b following the same procedure

b/ sin B = c / sin C

b/ sin 40 = 10/ sin 90

b/ sin 40 = 10/ 1

           b = 10 x sin 40

            b = 10 x 0.64279

             b = 6.4279

Therefore a ≈7.6604  , b ≈ 6.4279

7 0
3 years ago
40 is what percent of 150
MariettaO [177]

Always use this formula to find a percentage:

<span>% / 100 = Part / Whole</span> replace the given values:

40 / 100 = Part / 150

Cross multiply:

40 x 150 = 100 x Part, or

6000 = 100 x Part

Now, divide by 100 and get the answer:

Part = 6000 / 100 = <span>60</span>

6 0
3 years ago
Q7Which statement is incorrect for the graph of thefunction y = -5 cosGcos( 3 (x – 3)) +62The period is 4.The amplitude is 3.The
guajiro [1.7K]

The given function is,

y=-5\cos (\frac{\pi}{2}(x-3))+6

The graph can be drawn as,

The period will be distance between two consequetive maximas,

\text{Period}=1-(-3)=4

Thus, period is correct.

The amplitude can be determined as,

\begin{gathered} Amplitude=\frac{\max -\min }{2} \\ =\frac{11-1}{2} \\ =5 \end{gathered}

Thus, amplitue is incorrect.

The range is,

y\in\lbrack1,11\rbrack

Thus, the range is correct.

The midline is,

\begin{gathered} \text{midline}=\frac{\max +\min }{2} \\ =\frac{1+11}{2} \\ =6 \end{gathered}

Thus, the midline is correct.

Thus, option (b) is the solution.

5 0
1 year ago
The number of people estimated to vote in an election was 7,000. The actual number of people who voted was 5,600.
Inessa05 [86]

Answer:

20%

Step-by-step explanation:

7000-5600=1400

1400/7000×100=20

7 0
3 years ago
Read 2 more answers
Determine if the sides are greater than (&gt;), less than (&lt;), or equal (=) to each other.
DochEvi [55]

In ∆BCE

\\ \sf\longmapsto

\\ \sf\longmapsto

\\ \sf\longmapsto

Opposite side to <E=BC

Opposite side to <B=EC

  • <E=<B

\\ \sf\longmapsto BC=EC

4 0
2 years ago
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