If 5 sandwhich rolls cost 1.10 how much will 14 rolls cost

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.

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Answer:

1.8444444....=1.8+1/10*0.44444....

=1.8+1/10*4/9

=1.8+4/90

=162/90+4/90

=166/90

=83/45

2.126262626...=2.1+1/10*0.262626...

=2.1+1/10*26/99

=2.1+26/990

=2079/990+26/990

=2105/990

=421/198

Answer:  The correct option is (C) [tex]\dfrac{256}{3}.[/tex]

Step-by-step explanation:  The given function is

[tex]f(x)=\dfrac{1}{3}\times 4^x.[/tex]

We are to find the value of f(4).

To find the value of f(4), we need to substitute the value of x as 4 in the given definition of function f(x).

Substituting x = 4 in f(x), we have

[tex]f(4)=\dfrac{1}{3}\times 4^4=\dfrac{1}{3}\times 256=\dfrac{256}{3}.[/tex]

Therefore, the value of f(4) is [tex]\dfrac{256}{3}.[/tex]

Option (C) is correct.

B is the correct answer                                            

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.

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The standard form of the expression 4 hundred-thousand, 13 thousand, 11 hundreds, 4 ones is [tex]4.14104 \times10^5[/tex]

In order to write  4 hundred-thousand, 13 thousand, 11 hundreds, 4 ones in standard form, let us write each of the expressions in figures

4 hundred-thousand   =  400,000

13 thousand = 13,000

11 hundreds = 11 x 100

11 hundreds = 1100

4 ones = 4 x 1

4 ones = 4

The next step is to sum up all the figures together

400000 + 13000 + 1100 + 4  =  414,104

Convert 414104 to standard form

[tex]414104 = 4.14104 \times10^5[/tex]

Therefore, the standard form of the expression 4 hundred-thousand, 13 thousand, 11 hundreds, 4 ones is [tex]4.14104 \times10^5[/tex]

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Answer:

The cost of the new top $924.

Step-by-step explanation:

You want to replace the counter-tops in a kitchen.

The dimensions of the first counter is 24 inches by 6 feet.

i.e [tex]24 \text{ inch} \times 6 \text{ feet}[/tex]

or [tex]2\text{ feet} \times 6 \text{ feet}[/tex]

As 1 feet =12 inches

Hence the area of the counter is [tex]2\times 6=12\text{ feet}^2[/tex]

The dimensions of the second counter is 30 inches by 4 feet.

i.e [tex]30 \text{ inch} \times 4 \text{ feet}[/tex]

or [tex]2.5\text{ feet} \times 4 \text{ feet}[/tex]

Hence the area of the counter is [tex]2.5\times 4=10\text{ feet}^2[/tex]

Hence, the total area will be [tex]12+10=22 \text{ feet}^2[/tex]

The unit cost of the counter-top is [tex]\$42.00\text{ feet}^2[/tex]

So the net cost will be,

[tex]=42\times 22=\$924[/tex]

The fraction of an hour is 4 minutes in lowest terms is 1/15.

To find the fraction of an hour that 4 minutes represents, we need to compare the number of minutes to the total number of minutes in an hour, which is 60.

We can set up a fraction where the numerator represents the number of minutes we want to find the fraction for (4 minutes) and the denominator represents the total number of minutes in an hour (60 minutes).

So, the fraction can be written as 4/60.

To simplify the fraction to its lowest terms, we can divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 60 is 4.

Dividing both the numerator and denominator by 4, we get:

4/60 = (4 ÷ 4) / (60 ÷ 4) = 1/15.

Therefore, 4 minutes in lowest terms is equal to 1/15th of an hour.

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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 °.

1st number = x

2nd number = x-5

x*(x-5) = 36

x^2-5x =36

x^2 -5x-36 = 0

factor the polynomial:

(x-9) (x+4)

9-9 = 0, -4 +4 = 0

 so x = 9 or -4

 the question states a positive number

 so x = 9

 the 2 numbers are 9 and 4

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.

To find the six sixth roots of 64, you can use polar form and De Moivre's Theorem to calculate the complex numbers. The roots are 2, 1+i√3, -1+i√3, -2, -1-i√3, and 1-i√3.

[tex]X^6 = 64[/tex]

The sixth roots of 64 are complex numbers and can be found by writing 64 in polar form and applying De Moivre's Theorem. Let's find the six roots:

First root: 2(cos(0) + i sin(0)) = 2

Second root: 2(cos(π/3) + i sin(π/3)) = 2(1/2 + i√3/2) = 1 + i√3

Third root: 2(cos(2π/3) + i sin(2π/3)) = 2(-1/2 + i√3/2) = -1 + i√3

Fourth root: -2

Fifth root: -2(cos(-π/3) + i sin(-π/3)) = -2(1/2 - i√3/2) = -1 - i√3

Sixth root: -2(cos(-2π/3) + i sin(-2π/3)) = -2(-1/2 - i√3/2) = 1 - i√3

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