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padilas [110]
3 years ago
7

It’s a Basic Trigonometric Functions question for Pre-Cal, Need some help :/

Mathematics
1 answer:
lawyer [7]3 years ago
5 0

Step-by-step explanation:

D is the 90° angle and d=15 is opposite of the angle of the same letter. The triangle's other corners are E and F, and the sides corresponding to those angles are opposite of them too.

Angle F = 35° and E= (90-35)°= 55°. Then you could use something like the Law of Sines to find the sides if you wanted as well.

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"Parameterize the plane through the point (−1,−3,1) with the normal vector ⟨−4,4,3⟩
Makovka662 [10]
The equation of the required plane can be obtained thus:
-4(x + 1) + 4(y + 3) + 3(z - 1) = 0
-4x - 4 + 4y + 12 + 3z - 3 = 0
4x - 4y - 3z = 5

Let x = 1, y = 2, then 4(1) - 4(2) - 3z = 5
z = (4 - 8 - 5)/3 = -9/3 = -3
Thus, point (1, 2, -3) is a point on the plane.

Let a = (a1, a2, a3) and b = (b1, b2, b3) be vectors parallel to the plane.
Then, -4a1 + 4a2 + 3a3 = 0 and -4b1 + 4b2 + 3b3 = 0
Let a1 = 2, a2 = -1, then a3 = (4(2) - 4(-1))/3 = (8 + 4)/3 = 12/3 = 4 and let b1 = -1 and b2 = 2, then b3 = (4(-1) - 4(2))/3 = (-4 - 8)/3 = -12/3 = -4
Thus a = (2, -1, 4) and b = (-1, 2, -4)

Therefore, the required parametric equation is r(s, t) = s(2, -1, 4) + t(-1, 2, -4) + (1, 2, -3) = (2s, -s, 4s) + (-t, 2t, -4t) + (1, 2, -3) = (2s - t + 1, -s + 2t + 2, 4s - 4t - 3)


3 0
3 years ago
What number is one fifth of one fourth of one ninth of 900? 2 3 4 5 6 7 none of these i don't know?
Shalnov [3]
First, we want to write an expression for what is given:

(1/5)(1/4)(1/9)(900)

Now, we can solve this. Remember that to multiply fractions, we can just multiply the numerators and the denominators. Also, whole numbers always have a denominator of 1.

(900/180)
=5
3 0
3 years ago
Julie wants to have a 90 average in her math class at the end of the year. She is trying to determine what she needs to make on
Virty [35]
She would have to have a 95% in order to have a 90% average
7 0
2 years ago
Type the missing number in this sequence:<br><br> -33, -35, -37, -39, -41, -43,
melomori [17]

Answer:

well I'm not sure which way u want me to go so i'll do both ways

-31 orr if your going the other way, -45

3 0
3 years ago
Find the slope of the line (-5,-3) and (3,1)
natita [175]

Answer:

1/2

Step-by-step explanation:

1-(-3)/3-(-5)

=4/8

=1/2

7 0
3 years ago
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