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Nonamiya [84]
3 years ago
15

Select the correct answer.

Mathematics
1 answer:
ryzh [129]3 years ago
3 0

Answer:

3.6 x 10⁵ g of sodium chloride

Step-by-step explanation:

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What is tan(θ/2), when tan(θ) = 4/3 and when π < θ < 3π/2?
Tamiku [17]
Tan (Ф/2)=⁺₋√[(1-cosФ)/(1+cosФ)]
if π<Ф<3π/2;
 then,  Where is Ф/2??
π/2<Ф/2<3π/4; therefore Ф/2 is in the second quadrant; then tan (Ф/2) will have a negative value.

tan(Ф/2)=-√[(1-cosФ)/(1+cosФ)]

Now, we have to find the value of cos Ф.
tan (Ф)=4/3
1+tan²Ф=sec²Ф
1+(4/3)²=sec²Ф
sec²Ф=1+16/9
sec²Ф=(9+16)/9
sec²Ф=25/9
sec Ф=-√(25/9)        (sec²Ф will have a negative value, because Ф is in the        sec Ф=-5/3                                 third quadrant).

cos Ф=1/sec Ф
cos Ф=1/(-5/3)
cos Ф=-3/5

Therefore:

tan(Ф/2)=-√[(1-cosФ)/(1+cosФ)]
tan(Ф/2)=-√[(1+3/5)/(1-3/5)]
tan(Ф/2)=-√[(8/5)/(2/5)]
tan(Ф/2)=-√4
tan(Ф/2)=-2

Answer: tan (Ф/2)=-2; when tan (Ф)=4/3


3 0
3 years ago
Luis rides his bicycle 3/4 mile in 15 minutes, or 1/4 hour, along the bike trail. Assuming he rides at a constant rate, what is
Oksi-84 [34.3K]
The answer would be 3mph because 3/4 / 1/4 = 3. So the answer would be 3mph.
7 0
3 years ago
Read 2 more answers
Describe and correct any error a student may have made when solving the equation
Lady_Fox [76]

Answer:

The student made an error during the distributive property in the second step where they multiplied 0.15 by -0.2 to equal -0.3 when it should have been -0.03.

Step-by-step explanation:

0.15(y-0.2)=2-0.5(1-y)\\0.15y-0.03=2-0.5+0.5y\\0.15y-0.03=1.5+0.5y\\100(0.15y-0.03)=100(1.5+0.5y)\\15y-3=150+50y\\15y-3-15y-150=150+50y-15y-150\\-153=35y\\-\frac{153}{35}=y

6 0
3 years ago
PLS HELP ASAP WILL MARK BRAINLIEST Determine whether each relation is a function. Explain your reasoning.
Mariana [72]
No, it is not a function, since 6 is repeating itself and the x should never repeat if it’s a function.
3 0
2 years ago
Find the area of the regular polygon. Round to the nearest tenth.
JulsSmile [24]

Answer:

110.9\ ft^{2}

Step-by-step explanation:

we know that

If the triangle of the figure is a regular polygon

then

Is an equilateral triangle

Remember that

The equilateral triangle has three equal sides and three equal interior angles

The measure of each interior angle is 60 degrees

To find the area of the equilateral triangle apply the law of sines

A=\frac{1}{2} b^{2}sin(60\°)

we have that

b=16\ ft

substitute

A=\frac{1}{2} (16^{2})sin(60\°)=110.9\ ft^{2}

8 0
3 years ago
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