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katovenus [111]
3 years ago
12

Writing Trigonometric Ratios -

Mathematics
2 answers:
scoray [572]3 years ago
8 0
Option3 is the answer..!!!

AlexFokin [52]3 years ago
3 0

Hello!

Let's review our trigonometric ratios.

Sine= \frac{opposite}{hypotenuse}

Cosine= \frac{adjacent}{hypotenuse}

Tangent=\frac{opposite}{adjacent}

Let's look which lines are opposite, adjacent, and hypotenuse.

Opposite: XZ

Adjacent: YZ

Hypotenuse: XY

Let's plug these into our ratios.

SinY= \frac{XZ}{XY}

CosY=\frac{YZ}{XY}

TanY=\frac{XZ}{YZ}

As you can see, these numbers match answer C.

I hope this helps!

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Gary found 72 shells and 40 queens at the beach he wants to give them to some of his friends each friend receive the same number
harkovskaia [24]

Answer:

b

Step-by-step explanation:

8 0
3 years ago
Addition-subtraction method<br><br> 8.92x-5.42y=3.41 5.83x+1.07y=2.37
lyudmila [28]
We want to use the Addition-Subtraction method to solve
8.92x - 5.42y = 3.41             (1)
5.83x + 1.07y = 2.37             (2)

We shall eliminate y from the two equations by Addition.
Multiply (1) by 1.07 and multiply (2) by 5.42  to obtain
1.07*(8.92x - 5.42y) = 1.07*3.41
9.5444x - 5.7994y = 3.6487        (3)

5.42*(5.83x + 1.07y) = 5.42*2.37
31.5986x + 5.7994y = 12.8454   (4)

Add (3) and (4) to obtain
9.5444x - 5.7994y + 31.5986x + 5.7944y = 3.6487 + 12.8454
41.143x = 16.4941
x = 0.4009

From (2), obtain
1.07y = 2.37 - 5.83x
         = 2.37 - 5.83*0.4009
         = 0.0328
y = 0.0307

Answer:
 x = 0.4009
 y = 0.0307
4 0
3 years ago
A pastry recipe calls for 3 cups of flour to make 8 servings. how many cups of flour are needed to make 6 servings?
zimovet [89]
To make one serving you need 3cups/8servings = 3/8 cup.

To make 6 servings you need 3/8cup * 6 servings = 9/4 cups = 2.25 cups.
4 0
3 years ago
Read 2 more answers
The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 85% p
elena-s [515]
Make 2 equations from the question first
x is the number of pints for type 1
y is the number of pints for type 2

The equation
x + y = 120
60% x + 85% y = 65% (x + y)

Solve the equation
From the 2nd equation
0.6x + 0.85y = 0.65(x + y)
0.6x + 0.85y = 0.65x + 0.65y
0.85y - 0.65y = 0.65x - 0.6x
0.2y = 0.05x
y = 4x

From the 1st equation
x + y = 120
x + 4x = 120
5x = 120
x = 24

y = 4x
y = 96

The first type should be 24 pints, the second type should be 96 pints
5 0
3 years ago
Simplify by combining like terms -17+2(6x-1)+5
earnstyle [38]

\huge\boxed{12x-14}

Start with the original expression.

-17+2(6x-1)+5

Use the Distributive Property — multiply 2 by both 6x and -1.

-17+12x-2+5

Combine the like terms — add up all the constants.

-14+12x

Reorder the terms.

\large\boxed{12x-14}

5 0
3 years ago
Read 2 more answers
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