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3 years ago

13

State a national number that is not an integer whose value is less the 1.25, and describe it location between two consecutive in

tegers on the number line

1 answer:

Temka [501]3 years ago

6 0

1.1—It is located between 1 and 2 on the number line. It is rational because it is finite (it ends).

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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

Find a parametrization, using cos(t) and sin(t), of the following curve: The intersection of the plane y= 5 with the sphere

Elenna [48]

Answer:

The parametrization, of the given curve is $x = 10 cos(t) \ \ ,z = 10 sin(t)$

Step-by-step explanation:

From the question we are given the function

$x^2 + y^2 + z^2 = 125$

At y= 5

$x^2 + 5^2 +z^2 =125$

$x^2 + z^2 = 100$

$x^2 + z^2 = 10^2$

Converting the above to it polar equation we have

$x = 10 cos(t) \ \ ,z = 10 sin(t)$

6 0

3 years ago

I just need the answer no explanation

SOVA2 [1]

Answer:

ok no explanation.

2 is the answer

4 0

3 years ago

Read 2 more answers

Write the inverse of the function: f (x) = 2x+3

34kurt

Answer:

$y = \frac{x - 3}{2}$

Step-by-step explanation:

To find the inverse of a function, simply 'switch' the x and y's and solve for y. $y = 2x + 3$ becomes $x = 2y + 3$ . Now, solving for y, we get $y = \frac{x - 3}{2}$ .

hope this helped! :)

6 0

2 years ago

A highly selective university will only admit students who place at least 2-zcores above the mean on the ACT that

Harrizon [31]

Answer:

30

Step-by-step explanation:

Each z-score = 1 standard deviation from the mean, so 18 + (6 x 2) = 30

3 0

2 years ago