If cos Θ = negative 4 over 7, what are the values of sin Θ and tan Θ?

Answers

Answer 1
Answer: given cos theta is equal to - 4/ 7 then we can conclude that theta is in the second and third quadrants. In this case, the other leg is equal to square root of (7^2 - 4^2 ) equal to square root of 33. In this case, sin theta can be equal to +- square root of 33 / 7 and tan theta is equal to +-square root of 33 / 4.
Answer 2
Answer:

The values of sin theta and tan theta are √45/7 and √45/4 respectively

Trigonometry identity

Given the following trigonometry identity

cos Θ  = -4/7

This shows that

Adjacent = 4

Hypotenuse = 7

Determine the opposite

x^2 = 7^2 - 4^2
x^2 = 49 - 4
x^2 = 45
x = √45

Determine the value of sin Θ

sin Θ  = opp/hyp

sin Θ  = √45/7

Determine the value of tanΘ
tanΘ = opp/adj

tanΘ = √45/4

Hene the values of sin theta and tan theta are √45/7 and √45/4 respectively

learn more on triginometry here: brainly.com/question/24349828

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Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.Given:
∠C, ∠F are rt. ∠'s; AC = DF; ∠B = ∠E

HL
LL
HA
LA

Answers

∠C and ∠F are right angles. So, the triangles are right triangles.

AC = DF are the short legs of both triangles.

∠B = ∠E.

In this scenario, the postulate is ASA (Angle-Side-Angle)

The remaining sides that must be noted to prove that the triangles are congruent are the long legs and hypotenuse.

CB = FE can be LL for congruence where tt states that if the legs of one right triangle are congruent to the legs of another right triangle, then the triangles are congruent.

Nameof postulate or theorem that supports the conclusion that the triangles are congruent is Angle-side-Angle (ASA).

Given information:

\angle C,\; \angle F are right triangle, AC=DF;\angle B=\angle E

From the figure,

\Delta ACB\;\&\;\Delta DFE are right angletriangle.

AC=DF \;\;\;\;\{\rm{given}\} \n\angle B=\angle E \; \;\;\;\;\{\rm{given}\}

And \angle C=\angle F=90^\circ

\Delta ACB\;\cong\;\Delta DFE                 {ASA congruence rule}

Hence, Nameof postulate ortheorem that supports the conclusion that the trianglesare congruent Angle-side-Angle.

Learn more about Congruency of triangle here:

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Caroline bought 20 shares of stock at 101/2, and after 10 months the value of the stocks was 111/4. If Caroline were to sell all her shares of this stock, how much profit would she make? A. $10 B. $15 C. $225 D. $210

Answers

Answer:

$15 profit would  Caroline make .

Option (B) is correct .

Step-by-step explanation:

As given

Caroline\ bought\ 20\ shares\ of\ stock\ at\ 10 (1)/(2).

i.e

Caroline\ bought\ 20\ shares\ of\ stock\ at\ (21)/(2).

After\ 10\ months\ the\ value\ of\ the\ stocks\ was\ 11 (1)/(4).

i.e

After\ 10\ months\ the\ value\ of\ the\ stocks\ was\ (45)/(4).

Thus

Profit = (Cost of the 20 stock after 10 month - Cost of the 20 stock before 10 month ) × Total number of shares .

Profit = ((45)/(4) - (21)/(2))* 20

L.C.M of (4,2) = 4

Profit = (45 - 21* 2)/(4)* 20

Profit = (45 - 42)/(4)* 20

Profit = (3)/(4)* 20

Profit = 3 × 5

Profit = $15

Therefore the $15 profit would  Caroline make .

Option (B) is correct .

Your answer will be  $15.

Name the line and plane shown in the diagram.

Answers

the correct answer would be c

the answer is PQ and plane SP

A coach wants to know if soccer players who warm up before a game will score more points than those who don't warm up. He will break the team up into two groups and make sure each player gets equal time on the field. He will then count how many points each player makes during the game. What statistic should he study?The standard deviation of the number of points earned by each player
The standard deviation of the number of points earned by each group
The mean number of points earned by each player
The mean number of points earned by each group

Answers

The correct answer is the last option.

Since the coach is studying the two different groups, the results will be more meaningful if the groups are compared to one another as opposed to the players. It would also make more sense to study the mean (or average) of the points scored, rather than the standard deviation (which is essentially a measure of how spread out a set of numbers are).

Answer:

The answer is The mean number of points earned by each group

Step-by-step explanation:

What is the simplified form of x minus 5 over x squared minus 3x minus 10 ⋅ x plus 4 over x squared plus x minus 12? (6 points)

Answers

Answer: Our simplified form will be

(1)/((x+2)(x-3))

Step-by-step explanation:

Since we have given that

(x-5)/(x^2-3x-10)* (x+4)/(x^2+x-12)

So, first we split the middle term of the denominator ,

x^2-3x-10=0\n\n=x^2-5x+2x-10\n\n=x(x-5)+2(x-5)\n\n=(x-5)(x+2)

Similarly,

x^2+x-12=0\n\nx^2+4x-3x-12=0\n\nx(x+4)-3(x+4)=0\n\n(x+4)(x-3)=0

Now, we put in our expression above:

(x-5)/((x-5)(x+2))* (x+4)/((x-3)(x+4))\n\n=(1)/(x+2)* (1)/(x-3)\n\n=(1)/((x+2)(x-3))

Hence, our simplified form will be

(1)/((x+2)(x-3))

Step 1 is to factor everything! 

After factoring you will get:

x-5 over (x+2)(x+5) times x+4 over (x-3)(x+4)

Step 2 is to remove the duplicate factors!
Remove x+4 and x+5

x-5 over (x+2)(x-5) times 1 over x-3 = 1 over x+2 times 1 over x-3 

Step 3 is to multiply the numerators and the denominators.

End result is 1 over (x+2)(x-3)




-2094-67
Help!!!!!!!!!

Answers

Answer:

−2161

Step-by-step explanation:

Subtract  67  from -2094

If you want me to show work, let me know!