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erma4kov [3.2K]
2 years ago
8

How to find the hypotenuse of a right angled triangle using trigonometry?

Mathematics
1 answer:
Ghella [55]2 years ago
4 0
It depends on whether you have "Perpendicular" or "base"
If you have perpendicular then, you can use the formula:
sin Ф = P / H

If you have base then, you can use the formula:
cos Ф = B/ H

Hope this helps!
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Jerry lost her credit card and instead of reporting it right away, she decides to continue looking for it for a couple of days.
Mice21 [21]
$500 because she didn't report it stolen. You have to report your credit card missing immediately to not be liable for the charges

8 0
2 years ago
Derive the equation of the parabola with a focus at (-5,5) and a directix of y = -1
Paladinen [302]

Answer:

D

Step-by-step explanation:

From any point (x, y) on the parabola the focus and directrix are equidistant

Using the distance formula

\sqrt{(x+5)^2+(y-5)^2} = | y + 1 |

Squaring both sides

(x + 5)² + (y - 5)² = (y + 1)^2 , that is

(y + 1)² = (x + 5)² + (y - 5)² ← subtract (y - 5)² from both sides

(y + 1)² - (y - 5)² = (x + 5)² ← expand left side and simplify

y² + 2y + 1 - y² + 10y - 25 = (x + 5)²

12y - 24 = (x + 5)² ← factor left side

12(y - 2) = (x + 5)² ← divide both sides by 12

y - 2 = \frac{1}{12} (x + 5)² ← add 2 to both sides

y = \frac{1}{12} (x + 5)² + 2

or

f(x) = \frac{1}{12} (x + 5)² + 2 → D

7 0
3 years ago
Please help! Thank you
Vanyuwa [196]

Answer:

x = 82°

y = 59°

z = 39°

Step-by-step explanation:

∠x = 1/2(134° + 30°) = 82°

∠z = 180° - 59° - 82° = 39°

arc DF = 2(39°) = 78°

arc DB + arc DF = 134° + 78° = 212°

draw a diameter down from point B to the opposite side of the circle, call that point P:

arc BDP = 180°

(arc BDF) 212° - 180° = 32° (arc PF)

∠PBG = 1/2(32°) = 16°

∠DEB = 1/2(134°) = 67°

∠DBE = 180° - 59° - 67° = 54°

(∠DBE) 54° - (∠z) 39° + (∠PBG) 16° = (∠PBE) 31°

y = 90°- 31° = 59°

5 0
2 years ago
Jeremy mowed several lawns to earn money for camp. After he paid $17 for gas, he had $75 leftover to pay towards camp. Write and
Alexxx [7]
Money earned = ee=75+17=92
6 0
2 years ago
Which expression gives the distance between the points
Alla [95]

Answer:

C

Step-by-step explanation:

The formula for finding the distance between 2 points (x1, y1) and (x2, y2) is

d = √[(x2 - x1)² + (y2 - y1)²]

Here (x2, y2) = (2, 3)  and (x1, y1) = (4, -3)

Plugging them gives us

d = √[(2 - 4)² + (3 - (-3))²]

  d = √[(2 - 4)² + (3 + 3)²]

8 0
2 years ago
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