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s344n2d4d5 [400]
2 years ago
13

Find the missing side lengths. Leave your answers in simplest radical form.

Mathematics
1 answer:
saveliy_v [14]2 years ago
8 0
ANSWER:
d. x = 15, y= 15√3

EXPLANATION:
This is a special triangle, more specifically a 30-60-90 degree triangle. For sake of not confusing x and y, we will use z to use as our reference for solving this triangle. The side lengths for each angle are as follows:
• 60 degrees = z√3
- this is the value for your y answer
• 30 degrees = z
- this is the value for your x answer
• Hypotenuse = 2z
- this is what we already have

We solve for what we already have which is the Hypotenuse = 30:
2x = 30
x = 15

We now have our x value which is 15.
Now we just plug in that x value for every expression for every angle.

x = 15
y = 15√3

Sorry if I explained it too thoroughly but I’ll be glad to answer any questions or clarifications



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(1 point) Suppose F⃗ (x,y)=⟨2y,−sin(y)⟩ and C is the circle of radius 3 centered at the origin oriented counterclockwise. (a) Fi
g100num [7]

Answer:

The required vector parametric equation is given as:

r(t) = <3cost, 3sint>

For 0 ≤ t ≤ 2π

Step-by-step explanation:

Given that

f(x, y) = <2y, -sin(y)>

Since C is a cirlce centered at the origin (0, 0), with radius r = 3, it takes the form

(x - 0)² + (y - 0)² = r²

Which is

x² + y² = 9

Because

cos²β + sin²β = 1

and we want to find a vector parametric equations r(t) for the circle C that starts at the point (3, 0), we can write

x = 3cosβ

y = 3sinβ

So that

x² + y² = 3²cos²β + 3²sin²β

= 9(cos²β + sin²β) = 9

That is

x² + y² = 9

The vector parametric equation r(t) is therefore given as

r(t) = <x(t), y(t)>

= <3cost, 3sint>

For 0 ≤ t ≤ 2π

8 0
3 years ago
0.08 is 10 times grater than
solong [7]
Subtract the minimum data value from the maximum data value to find the data range,so in this case yur data range is 

10 - 0.08 = 9.92
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4 0
3 years ago
-45×68 what is the answer
Marianna [84]
Answer: -3060

68
-45
--------
340
272x <-- the x is in place of a zero
--------
3060

times the negative: -3060
4 0
3 years ago
3 ( 8m+5) = 4 (6m+7)-13
Kitty [74]

Answer:

infinite solutions

Step-by-step explanation:

Given

3(8m + 5) = 4(6m + 7) - 13 ← distribute parenthesis on both sides

24m + 15 = 24m + 28 - 13 , that is

24m + 15 = 24m + 15

Since both sides are equal then any real value of x makes the equation true.

Thus there are an infinite number of solutions

8 0
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2 years ago
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