Find the measure of the angle to the nearest degree. 20 POINTS

a) sin A = 0.6018
b) cos B = 0.9205
c) tan C = 0.0349

My own multi-step combination problem is given below:

To solve this problem, Amanda  need to use the formula for combinations and it is:

nCr = n! / (r! x (n-r)!)

where:

n = total number of items to select from

r is the number of items to select.

First, we have to calculate the number of ways to select 3 fruit from 5, hence it will be:

5C3

=  5! / (3! x (5-3)!)

= 10

Next, we have to calculate the number of ways to select 2 meatpie from 4 and it will be

4C2

= 4! / (2! x  (4-2)!)

= 6

Lastly,, we need to calculate the number of ways to select 2 desserts from 3 and it will be:

3C2

= 3! / (2! x  (3-2)!)

= 3

To have the total number of dinner menus, we have to multiply these three numbers together:

= 10 x 6 x 3

= 180

Therefore, one can say that Amanda have 180 different dinner menus that she can be create.

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to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below.

\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{0}}}{\underset{\textit{\large run}} {\underset{x_2}{2}-\underset{x_1}{(-4)}}} \implies \cfrac{8 }{2 +4} \implies \cfrac{ 8 }{ 6 } \implies \cfrac{4 }{ 3 }\)

Answer:

Step-by-step explanation:

Answer:

The answer is option C

Step-by-step explanation:

Because it is parallel and it is true that since it is all even it will be a better supply to use

Answer42 - 2197

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The true statement is; II. Option D

From the information given, we have that;

I. The set of all second-degree polynomials with the standard operations is a vector space

II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space

III. The set of second quadrant vectors with the standard operations is a vector space

Note that;

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Step-by-step explanation:

x = father's age now

y = son's age now

x = 2y + 10

x - 20 = 5(y - 20) = 5y - 100

using the first in the second equation :

2y + 10 - 20 = 5y - 100

-10 = 3y - 100

90 = 3y

y = 30

x = 2y + 10 = 2×30 + 10 = 60 + 10 = 70

the father is now 70 years old, the son now 30 years old.

Answer:

effect

Step-by-step explanation:

Answer:

167.6190 approximately 167.62 inches

Step-by-step explanation:

formula for surface area of a cone is 1/3πr×r×slant height. How this helps.

Answer:

please refer to the above attachment.

Answer:

50 + 1 + \(\frac{2}{10}\) + \(\frac{4}{100}\) + \(\frac{2}{1,000}\)

Step-by-step explanation:

This is the answer because:

1) 50 and 1 equal to 51

2) The fraction forms of a decimal number is: the decimal number/the decimal number place value

3) Therefore, the answer is 50 + 1 + \(\frac{2}{10}\) + \(\frac{4}{100}\) + \(\frac{2}{1,000}\)

Hope this helps!

The surface area of the cube is 1536 ft².

We have,

The cube can be seen as 6 square areas in the net.

So,

The surface area of the cube.

= 6 x area of one square surface.

Now,

Side = 16 ft

Area of one square surface.

= side²

= 16²

= 256 ft²

Now,

The surface area of the cube.

= 6 x area of one square surface.

= 6 x 256

= 1536 ft²

Thus,

The surface area of the cube is 1536 ft².

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Answer: x=3

Step-by-step explanation: Subtract 2 from both sides and subtract 5x from both sides. Then you'll end up with 6 = 2x. Then divide through by 2 on both sides and you're left with x=3.

The expression of the length of the arc is  4πb⁵

The circle has a radius of 9b³. An arc subtend an angle at the centre of 80b² degrees. Therefore, the expression for the length of the arc can be solved as follows:

length of arc = ∅ / 360 × 2πr

where

Therefore,

length of arc = 80b² / 360 × 2 × π × 9b³

length of arc = 144b⁵π / 36

Therefore,

length of arc = 4πb⁵

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Answer:

12°

Step-by-step explanation:

a right triangle implies there is an angle that is 90°

another angle is 78°

the third angle is 180 - (90 + 78)  =  180 - 168  = 12°

The number of square feet needed to cover the hole is 44ft²

To find this, we need to find the area of the green region and subtract the little square that it has inside.

Remember that for a rectangle, the area is the product between the dimensions, then the area of the green region is:

A = 12ft*4ft = 48ft²

The little square has an area:

a = 2ft*2ft = 4ft²

Then the area needed is:

area = 48ft² - 4ft² = 44ft²

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Answer:

180 pound

Step-by-step explanation:

the value of 12%

much steel will the new car model use is 180 pound

Answer:

180º

Step-by-step explanation:

All the interior angles add up to 180º degrees.

Answer:

180 degrees

Step-by-step explanation:

In a Euclidean space, the sum of angles of a triangle equals the straight angle

Answer: Shade 6 pieces

Step-by-step explanation:

Because 2/5 of 15 is 6

9514 1404 393

Answer:

Step-by-step explanation:

Dimensions of stacks or arrays represent factors that are multiplied. The number "left over" is added to that product. You are being asked to match the numbers in the numerical expressions with the numbers in the word statement.

a. 11(10) +7 = 117

b. 9(12) +5 = 113

c. 8(12) +7 = 103

d. 6(20) +5 = 125

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

You need to multiple

Step-by-step explanation:

The reference angles of -320 is 40 degrees and the reference angle of 19π/12 is 5π/12

From the question, we have the following parameters that can be used in our computation:

Angle = -320

The reference angle is caculated as

Reference = 360 + Angle

So, we have

Reference = 360 - 320

Evaluate

Reference = 40

For the other angle, we have

θ = 19π/12

The above angle is in the fourth quadrant

So, we subtract it from 2π to calculate the reference angle

Using the above as a guide, we have the following:

Reference angle = 2π - 19π/12

Evaluate the difference

Reference angle = 5π/12

Hence, the reference angle is 5π/12

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Answer:

How much is the bloody sandwich

Answer:

x ≈ 0.6385

Step-by-step explanation:

using the rule of logarithms

log \(x^{n}\) = nlog x

then

\(7^{2x}\) = 12 ( take ln of both sides )

ln \(7^{2x}\) = ln12

2x ln7 = ln12 ( divide both sides by 2ln7 )

x = \(\frac{ln12}{2ln7}\) ≈ 0.6385 ( to the nearest ten thousandth )

Answer:

192

Step-by-step explanation:

1 Pound = 16 Ounces

So 16 (ounces) x 12 (dollars) = 192 (ounces)

16 x 12 = 192

Answer:

  1 1/3 ounces

Step-by-step explanation:

The weight you can purchase is proportional to the amount you want to spend. There are 16 ounces in a pound.

Where x is the quantity you can buy with $1, the proportion is ...

  (16 oz)/($12) = x/$1

  4/3 oz = x . . . . . . . . . multiply by $1. The amount you can buy with $1.

1 1/3 ounces can be bought with $1.

9514 1404 393

Answer:

  B. Draw a diagram.

Step-by-step explanation:

Most construction starts with a diagram.

_____

Additional comment

You may actually start by finding a pattern you like, then figuring the material required to construct the pattern, then working backward to determine the dimensions you need to use to stay within your material budget. You will probably draw a diagram at many points in the planning process.

From definition:

From the picture:

Step-by-step explanation:

x4-7x3+14x2-3x-9

This deals with polynomial long division.

Overview

Steps

Topics

Links

1 result(s) found

(x

2

−x−1)⋅(x−3)

2

See steps

Step by Step Solution:

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2". 2 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

((((x4)-(7•(x3)))+(2•7x2))-3x)-9

STEP

2

:

Equation at the end of step

2

:

((((x4) - 7x3) + (2•7x2)) - 3x) - 9

STEP

3

:

Polynomial Roots Calculator :

3.1 Find roots (zeroes) of : F(x) = x4-7x3+14x2-3x-9

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 1 and the Trailing Constant is -9.

The factor(s) are:

of the Leading Coefficient : 1

of the Trailing Constant : 1 ,3 ,9

Let us test ....