Which expression represents the number of possible combinations of n items taken r at a time?

The other two angles are 23 degrees and 67 degrees.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given,

Given a right angled triangle with one angle 90 degrees.

We need to find the other two angle measures of a right triangle with side lengths 5, 12, and 13

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.

The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.

The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this problem, the hypotenuse is the largest size of 13.

The angle opposite to the side of length 5 is found as follows:

sinθ=5/13

θ=sin⁻¹5/13

θ=23

By angle sum of 3 angles is of 180º, the other angle is of 67º.

Hence, the other two angles are 23 degrees and 67 degrees.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ6

Answer: I wrote the rate, with $5.95 in the numerator and 3 loaves in the denominator. I needed to find an equivalent rate expressed as a fraction with the denominator of 1. I noticed 3 loaves divided by 3 gave a denominator of 1, so I divided $5.94 by 3 to find that each loaf costs $1.98.

Just did it on Edge 2021

Btw Can you mark me brainlest pls

The equivalent rate of the bread is $1.98.

Since the store advertises a sale for 3 loaves of bread for $5.94, in order to find the equivalent rate, the person has to divide $5.94 by 3. This will be:

= $5.94/3

= $1.98

Therefore, the equivalent rate of the loaves of bread will be $1.98

Read related link on:

https://brainly.com/question/10884356

Answer:

Option C is correct

Yes, the set of ordered pairs {(–5, –5), (–1, –2), (0, –2), (3, 7), (8, 9)}  represents the function.

because every x-value corresponds to exactly one y-value.

Step-by-step explanation:

A function states that it is a relation in which every domain value is paired with exactly one element of range.

Given the set of ordered pair:

{(–5, –5), (–1, –2), (0, –2), (3, 7), (8, 9)}

Domain is all the x-values, and range is all the y-values.

Domain: {-5, -1, 0, 3, 8}

Range:  {-5, -2, -2, 7, 9}

By definition:

each input value (i.e x values) is paired with exactly one element of y-value.

therefore,the set of ordered pairs {(–5, –5), (–1, –2), (0, –2), (3, 7), (8, 9)}  represents the function.

Answer:

803,800,000

Step-by-step explanation:

8.038×10^8 in standard form

To get standard form we multiply the decimal number by 10^8

10^8 is 100000000

Now we multiply

8.038×100000000

Move the decimal number 3 places to the right and add 5 more zeros

803800000

So the standard form of the given expression is

803,800,000

Final answer:

The number 21,070 is already in standard form. Standard form is a straightforward expression of a number as commonly written, without the need for scientific notation for simple numbers like this one.

Explanation:

The number 21,070 written in standard form is simply 21,070 itself. In mathematics, standard form refers to the way a number is commonly written. This number is already in standard form because it is expressed in a direct and straightforward manner. There is no need for further simplification or conversion. When numbers are very large or very small, they can be cumbersome to write out in full, which is why scientists and mathematicians may use scientific notation to express them.

For instance, if we had a larger number like 77,123,450, we could write it in scientific notation as 7.712345 × 10⁷, emphasizing that it is 7.712345 times ten to the seventh power.

For the provided number 21,070, no such conversion is necessary, and it remains 21,070 in standard notation.

Using the elimination method, the given system of equations leads to a solution of x = -1, y = 1, and z = -2.

https://brainly.com/question/13877817

#SPJ3

In 2013, there were approximately 4.509 McDonald's restaurants per 100,000 people in the US.

To calculate the number of McDonald's restaurants per capita in the US in 2013, we divide the total number of McDonald's locations (14267) by the population of the US (316,500,000).

[tex]\[ \text{McDonald's per capita} = \frac{14267}{316500000} \][/tex]

Performing the division, we get [tex]\( 4.509 \times 10^{-5} \)[/tex].

This means there were approximately 4.509 McDonald's restaurants per 100,000 people in the US in 2013.

So, the number of McDonald's restaurants per capita in the US in 2013 is [tex]\( 4.509 \times 10^{-5} \) or \( 4.509 \times 10^{-5} \)[/tex] McDonald's per person.

If the total debt is near $1.8 × 10¹³, then every person has to pay $60,000.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the mentioned data in the question,

Total debt in the United States = $1.8 × 10¹³

Total number of people in the United States = 3 × 10⁸

If  every person paid their share, then each person has to pay,

= ($1.8 × 10¹³)/(3 × 10⁸)

= $6 × 10⁴ or,

It can be written as $60,000.

To know more about arithmetic operations:

https://brainly.com/question/13585407

#SPJ5

Answer:

Angle x =  63 °.

Step-by-step explanation:

Given  : A circle larger arc angle 184° and smaller arc angle 58°.

To find: What is the value of x.

Solution : We have given that  larger arc angle 184°

Smaller arc angle 58°.

Angle formed by tangent and chord = x

m∠x = [tex]\frac{1}{2}( 184 - 58 )[/tex].

m∠x =   [tex]\frac{1}{2}( 126)[/tex].

m∠x =  63 °.

Therefore, Angle x =  63 °.

Answer:

The expanded form of 310 is:

310 = 300 + 10.

Joe will write two numbers to form 310.

Step-by-step explanation:

The expanded form is used to write numbers and see the math value of individual digits. So, the numbers are separated into individual place values and decimal places and form a mathematical expression.

310 in expanded form is 300 + 10 = 310.

Answer:

162.8 cm²

Step-by-step explanation:

The formula for the area of a triangle is

A = 1/2bh, where b is the base and h is the height.

The base can be represented as the given leg, 27.6 cm.  We do not know the height.  We must use the Pythagorean theorem to find this:

a²+b² = c²

27.6²+b² = 30²

761.76+b² = 900

Subtract 761.76 from each side:

761.76+b²-761.76 = 900-761.76

b² = 138.24

Take the square root of each side:

√(b²) = √(138.24)

b = 11.8

Now we use the area formula:

A = 1/2(11.8)(27.6) = 162.84 ≈ 162.8

The area of a given right triangle is 162.8 cm².

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, the base can be represented as the given leg, 27.6 cm.  We do not know the height.  

Using Pythagorean theorem,

a²+b² = c²

27.6²+b² = 30²

761.76+b² = 900

761.76+b²-761.76 = 900-761.76

b² = 138.24

b = √(138.24)

b = 11.8

The formula for the area of a triangle is

A = 1/2bh, where b is the base and h is the height

A = 1/2(11.8)(27.6) = 162.84 ≈ 162.8

Therefore, the area of a given right triangle is 162.8 cm².

Learn more about the area here:

https://brainly.com/question/27683633.

#SPJ6

the six to the left is worth more than the six in the hundredths

hope

i helped