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3 years ago

Evaluate:cos 45°/sec 30°+cosec30°

Mathematics

1 answer:

barxatty [35]3 years ago

3 0

Look at the trigonometry table for special angles.

From here, substitute the values in:

$\frac{\sqrt{2} }{2} / \frac{2\sqrt{3} }{3}} + 2$

Simplify:

$\frac{3\sqrt{2} }{4\sqrt{3} } + 2$

Rationalize:

$\frac{\sqrt{6} }{4} +2$

And this is your answer.

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The relation ((6, 8), (7, 10), (7, 12), (8, 16),

Brilliant_brown [7]

Answer:

x = 7 is repeated twice.

Hence, there is NO MORE unique input. We can not have repeated inputs.

Thus, the relation is NOT a function.

Step-by-step explanation:

Given the relation

{(6, 8), (7, 10), (7, 12), (8, 16), (10, 16)}

We know that a relation is a function that has only one output for any unique input.

As the inputs or x-values of the relations are:

at x = 6, y = 8

at x = 7, y = 10

at x = 7, y = 12

at x = 8, y = 16

at x = 10, y = 16

If we closely observe, we can check that there is a repetition of x values.

i.e. x = 7 is repeated twice.

Hence, there is NO MORE unique input. We can not have repeated inputs.

Thus, the relation is NOT a function.

8 0

3 years ago

Josie is picking out wallpaper for a 9 feet by 10 feet accent wall in her new apartment. She has narrowed her choices down to th

elena55 [62]

Answer:

Josie should purchase floral daisy wallpaper.

Step-by-step explanation:

Area = Length × Width

The area of the Josie's accent wall = 9 × 10 = 90 feet²

The cost of Floral Daisy per square feet $=\frac{\text{Area of the wallpaper}}{price}$

= $\frac{(1.475\times 9.8)}{14.67}$

= $\frac{14.455}{14.67}$

= 0.98534 ≈ $0.99/ft²

The cost of total wallpaper for the wall = 90 × 0.99 = $89.10

The cost of Flower Power per square feet = $\frac{(8.33\times 12)}{99}$

= $\frac{99.96}{99}$

= 1.0096 ≈ $1.01/ft²

The cost of total wallpaper for the wall = 90 × 1.01 = $90.90

total savings = 90.90 - 89.10 = $1.80

∵ The floral daisy wallpaper comes in size = 1.45 ft × 9.8 ft

∴ Josie needs the number of rolls of floral daisy wallpaper to cover her wall = 7

The cost of 7 rolls = 14.67 × 7 = $102.69

To cover her wall with flower power wallpaper, she needs the number of rolls = 2

The cost of 2 rolls = 99 × 2 = $198

We can see the cost of floral daisy wallpaper is less than flower power.

Therefore, Josie should purchase floral daisy wallpaper.

8 0

3 years ago

Antonio runs 4 miles each day. How

Tom [10]

Antonio runs 1,460 miles in one year

6 0

3 years ago

Read 2 more answers

Elijah gave out a survey to some students in his school about their favorite color. 392 of those surveyed said their favorite co

Softa [21]

Answer:

700

Step-by-step explanation:

It was right on my test lol

6 0

3 years ago

Consider the quadratic function f(x)=8x2−7x 6. What is the constant of the function?.

Bezzdna [24]

Answer:

Step-by-step explanation:

Pennington f childish fingerprint dishwashing

8 0

2 years ago

Evaluate:cos 45°/sec 30°+cosec30°​

Evaluate:cos 45°/sec 30°+cosec30°