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Gnoma [55]
4 years ago
6

Find Exact Answers, Show your work. BRANLIEST ASAP!! THANK YOU​

Mathematics
1 answer:
4vir4ik [10]4 years ago
6 0

$\cos\theta=\frac{\text{5}}{\text{13}},  \ \sin\theta=\frac{\text{12}}{13}, \ \tan\theta=\frac{\text{12}}{\text{5}}

$\sec\theta=\frac{\text{13}}{\text{5}},\ \csc \theta=\frac{\text{13}}{\text{12}} , \ \cot \theta=\frac{\text{5}}{\text{12}}

Solution:

Given triangle is a right triangle.

Base = 5, Hypotenuse = 13, Height = ?

Height (h) = opposite

<em>In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.</em>

5^2+h^2=13^2

25+h^2=169

h^2=144

Taking square root on both sides.

h = 12

$\cos\theta=\frac{\text{Base}}{\text{Hypotenuse}}

$\cos\theta=\frac{\text{5}}{\text{13}}

$\sin\theta=\frac{\text{Opposite}}{\text{Hypotenuse}}

$\sin\theta=\frac{\text{12}}{13}

$\tan\theta=\frac{\text{Opposite}}{\text{Base}}

$\tan\theta=\frac{\text{12}}{\text{5}}

$\sec\theta=\frac{\text{Hypotenuse}}{\text{Base }}

$\sec\theta=\frac{\text{13}}{\text{5}}

$\csc \theta=\frac{\text{Hypotenuse}}{\text{Opposite }}

$\csc \theta=\frac{\text{13}}{\text{12}}

$\cot \theta=\frac{\text{Base }}{\text{Opposite}}

$\cot \theta=\frac{\text{5}}{\text{12}}

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Step-by-step explanation:

4 0
3 years ago
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Sarah started her day with a fullback apples up and make an Apple Pie when she's three apples she knows that she has 12 apples w
lisov135 [29]
The question is a little hard to understand... let me see what i can do. I'll edit what i figure out on here. :) (PS) Did you reword the question? Do you think you could double check and make sure this is what the question looks like?


Started her day with a full bag of apples (?)
She needs 3 for an apple pie
She had 12 total (?)

Or maybe she needs 12 for a pie and now she has 3?
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3 years ago
What is the surface area of the cylinder in terms of ? The diagram is not drawn to scale.
Delicious77 [7]

Answer:

SA = 748π in²

General Formulas and Concepts:

<u>Symbols</u>

  • π (pi) ≈ 3.14

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²

  • <em>r</em> is radius
  • <em>h</em> is height

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>r</em> = 11 in

<em>h</em> = 23 in

<u>Step 2: Find Surface Area</u>

  1. Substitute in variables [Surface Area of a Cylinder Formula]:                       SA = 2π(11 in)(23 in) + 2π(11 in)²
  2. Evaluate exponents:                                                                                         SA = 2π(11 in)(23 in) + 2π(121 in²)
  3. Multiply:                                                                                                             SA = 506π in² + 242π in²
  4. Add:                                                                                                                   SA = 748π in²
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ZanzabumX [31]

Answer:

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Step-by-step explanation:

Antonia has a mug with a capacity of 2/3L of water. What fraction of that mug will she fill with 1/2L of water?

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