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max2010maxim [7]
3 years ago
10

Question 1. Enter the ratio equivalent to sin(B)

Mathematics
1 answer:
Deffense [45]3 years ago
8 0

Answer:

The three questions about the given triangle has been answered below.

Step-by-step explanation:

We are given a right angled triangle whose sides are of length 20, 21 and 29.

<u>(1)</u> sin(B) = \frac{side opposite to B}{hypotenuse}

              = \frac{21}{29}

              = 0.72

<u>(2)</u> sin(A) = \frac{20}{29}

     sin(A)  = 0.689

     ∠CAB = sin^{-1}(0.689)

     ∠CAB = 43.551°

<u>(3)</u> We suppose that cosA < sinA and we haveto find which all angles will satisfy this condition.For this the angle A should be greater than 45°.

From the given options the angles that satisfy this are 55 , 66 and 75.

45 is not included as then sinA = cosA and that condition is not there.

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A bakery uses 3/4 cups of oats to make a 2 4/7 pounds of oatmeal cookies.how many cups of oats are required per pound of cookies
Flura [38]
We can use ratios to find the answer to this.
Set up the ratio.
3/4 / 18/7 = x / 1

Multiply both sides by 1
3/4 / 18/7 = x

Inverse 18/7 to 7/18 so we can multiply.
3/4 * 7/18 = x
Multiply.
21/72 = x
Simplify7/24 = x
Therefore, 7/24 cups of oats is used per pound.
3 0
3 years ago
Simplify<br> a(cube)-1000b(cube)<br> 64a(cube)-125b(cube)
Elanso [62]

The simplification of a³ - 1000b³ and 64a³ - 125b³ is (a - 10b) × (a² + 10ab + 100b²) and 4a - 5b) • (16a² + 20ab + 25b²) respectively.

<h3>Simplification</h3>

Question 1: a³ - 1000b³

a³ - b³

= (a-b) × (a² +ab +b²)

  • 1000 is the cube of 10
  • a³ is the cube of a¹
  • b³ is the cube of b¹

So,

(a - 10b) × (a² + 10ab + 100b²)

Question 2: 64a³ - 125b³

a³ - b³

= (a-b) × (a² +ab +b²)

  • 64 is the cube of 4
  • 125 is the cube of 5
  • a³ is the cube of a¹
  • b³ is the cube of b¹

So,

(4a - 5b) • (16a² + 20ab + 25b²)

Learn more about simplification:

brainly.com/question/723406

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8 0
2 years ago
A business owner issues a paycheck in the amount of two thousand, three hundred fifty-seven dollars and forty-nine cents. What i
vivado [14]

The numerical value of the first check will be $2,357.

<h3>What is Algebra?</h3>

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A business owner issues a paycheck in the amount of two thousand, three hundred fifty-seven dollars and forty-nine cents.

Then the numerical amount of this check will be

The numerical value of the check will be

Two thousand, three hundred fifty-seven dollars and forty-nine cents = $2,357.49

The numerical value of the first check will be $2,357.49.

More about the Algebra link is given below.

brainly.com/question/953809

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8 0
1 year ago
Quadrilateral wxyz is a paralelogram if w=50<br> what is wzy
slega [8]
It means different digits.
W=50 would count as one of the digits.
Now you have to figure out what “XYZ” is.
8 0
2 years ago
Help please 23 points will make brainliest
svlad2 [7]
It should be 78.54.
Double check that. 
Formula: V=πr2h/3
r2 is R squared 
8 0
3 years ago
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