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zhenek [66]
3 years ago
7

If cot 0= 4/3, find csc 0

Mathematics
1 answer:
miskamm [114]3 years ago
4 0

Answer:

5/3

Step-by-step explanation:

Trigonometric ratio

Cot θ = Adjacent side/Opposite side

It is given that,

Cot θ  = 4/3

Adjacent side = 4

Opposite side = 3

Csc θ = Hypotenuse/Opposite side

To find the Hypotenuse

Hypotenuse² = Opposite side² + Adjacent side ² = 3²+ 4²

Hypotenuse = √(3²+ 4²) = 5

To find Csc θ

Csc θ = Hypotenuse/Opposite side = 5/3

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Which triangle is ​△MNO​ similar to and why? △MNO is similar to △GHK by ​ AA Similarity Postulate ​. ​△MNO​ is similar to △DEF b
andrew11 [14]
<span>MNO is similar to GHK by AA Similarity Postulate

   Let's start by listing each triangle and the measurements of all three angles. For each triangle, we've been given the measurements of 2 of the angles and the 3 angle will simply be 180 minus the other 2 angles. I assume you can do the subtraction, so I'll simply list each triangle with all three angle measurements.
 NMO: 79, 22, 79
 GHK: 79, 79, 22
 PQR: 20, 79, 81
 DEF: 82, 22, 76
   And the triangles NMO and GHK are similar to each other since they have the same angles. The order really doesn't matter since it's OK for similar triangles to be rotated or reflected. The key thing to remember in a triangle is that if you've been told what 2 of the angles are, you also know what the 3rd angle is since the sum of the angles of a triangle will always be 180.
So the answer is:
 MNO is similar to GHK by AA Similarity Postulate"</span>
7 0
3 years ago
Please help!! 15 points for the answer.
Anarel [89]
A) (5s + 2 / 4) x (4) = Perimeter
B) ( s + 9) x (2) + ( 3s - 5 ) x (2) = Perimeter 
C) 22 + 48 = 70


4 0
3 years ago
Please solve and show all steps
Fofino [41]
The Measure of the Missing Angles can be found by this formula: x+y+z= 180°.
You already know the measure of 1 Angle, which is 30°, right?
You also know that this Triangle is a Right Triangle, so the Square for One Angle indicates that the Angle is 90°.
y= 90°, and z= 30°, and you know that the Total Measure of any Triangle is 180° Total.
90°+30° = 120°, and 180°-120°= 60°, so finally, x= 60°, and y=90°, and z= 30°.
4 0
3 years ago
Suppose you know that the volume of the following prism is represent by V(x) = -2x^3 + 14x^2 + 120x.
erastova [34]

Step-by-step explanation:

-2x³ + 14x² + 120x

= -2x(x² - 7x - 60)

= -2x(x - 12)(x + 5).

The other 2 dimensions are -2x and (x + 5).

When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.

8 0
3 years ago
Write the decimal as a percent of 0.768
Nikitich [7]

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.768 × 100 = 76.8%

The ease way:

1) Move the decimal point two places to the right: 0.768 → 7.68 → 76.8.

2) Add a % sign: 76.8%

"<u>Answer: 76.8%"</u>

Hope this helps!

Thanks!

-Charlie

8 0
3 years ago
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