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kap26 [50]
3 years ago
15

5 - 3tan3x = 0 trên -π< x < π.

Mathematics
1 answer:
serious [3.7K]3 years ago
4 0

Answer:

x = 0.343

Step-by-step explanation:

We want to solve:

5 - 3tan(3x) = 0

such that:

-π< x < π

where π = 3.14

then:

-3.14 < x < 3.14

Let's solve the equation:

5 - 3tan(3x) = 0

-3tan(3x) = -5

tan(3x) = -5/-3 = 5/3

Now we can use the inverse tan function, Atan(x).

Remember that:

Atan( tan(x) ) = tan( Atan(x)) = x

Then if we apply that function to both sides, we get:

Atan( tan(3x)) = Atan(5/3)

3x = Atan(5/3)

x = Atan(5/3)/3 = 0.343

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Classify the following numbers as Natural, Whole number, irrational, non real, rational
sineoko [7]

Answer:

sqroot(111) is irrational.

Step-by-step explanation:

Natural are 1, 2, 3, 4...

Whole are 0, 1, 2, 3...

Irrational are decimals that don't end or repeat. Sqroot(111) is 10.535653752...

Nonreal have an i, the imaginary number.

Rational are fractions (or can be written as a fraction) or decimals that end or repeat.

6 0
3 years ago
Sue wants to plan a meal with 71 grams of fat and 1755 calories. If hot dogs have 13 grams of fat and 145 calories each and if b
Lena [83]

Answer:

Sue must use 3 hotdogs and 4 half-cup serving of baked beans.

Step-by-step explanation:

Let the number of hot dogs be represented by h

Let the number of baked beans be represented by b

Hot dogs have 13 grams of fat and 145 calories each

Baked beans have 8 grams of fat and 330 calories per half cup serving

Sue wants to plan a meal with 71 grams of fat and 1755 calories.

Grams of Fat from Hotdog + grams of fat from baked beans=71

13h+8b=71....(I)

Similarly,

Calories from hot dog + Calories from baked beans=1755

145h+330b=1755....(II)

We then solve Equations (I) and (II) simultaneously.

13h+8b=71....(I)

145h+330b=1755....(II)

Multiply equation 1 by 145 and equation 2 by 13

1885h+1160b=10295

1885h+4290b=22815

Subtracting

-3130b=-12520

b=4

Substitute b=4 into (I)

13h+(8X4)=71

13h=71-32

13h=39

h=3

Sue must use 3 hotdogs and 4 half-cup serving of baked beans.

4 0
4 years ago
drake made 12 out of 30 free throw shots. about how many out of the next 50 free throw shots would you expect him to make?
larisa86 [58]
12/30 X/50 you'd cross multiply and get 30X=600 get 30 away from X which you'd divide 600 by 30 and get 20. drake is expect to make 20 out of 50 free throws
7 0
3 years ago
Read 2 more answers
What is 90 percent of 20 percent
Tom [10]

Answer:

18

Step-by-step explanation:

Every 2 is 10 percent.

2 x 9 = 18.

The answer is 18.

6 0
3 years ago
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Which of the following is equivalent to 75/4 <br> A- 18 3/18<br> B- 18 3/4<br> C- 71<br> D- 79
sattari [20]
B.
4 goes into 75 18 times and has a remainder of 3, so it’s 18 3/4
5 0
4 years ago
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