What is the exact value of sin 15°?

Answer:

30/80       9/24           6/16

Step-by-step explanation:

Answer:

just multiply a fraction equal to 1 for example 2/2

3/8 x 2/2 = 6/16

3/8 x 3/3 = 9/24

3/8 x 4/4 = 12/32

it is equivalent because 2/2 is equal to 1 so it is being multiplied by 1

Step-by-step explanation:

Answer:

[tex]2x^2+7x+3[/tex]

Step-by-step explanation:

[tex](x+3)(x-7)+(x+8)(x+3)[/tex]

[tex](x^2-4x-21)+(x^2+11x+24)[/tex]

[tex]x^2-4x-21+x^2+11x+24[/tex]

[tex]2x^2+7x+3[/tex]

Answer:

The answer is 21

Step-by-step explanation:

The answer is 21 because...

Answer:

Reduction scale

Step-by-step explanation:

Enlarging scale means that the drawing is larger than the actual object. Hence the representative fraction will be greater than unity. For reducing scale the representative fraction is less than unity.

So now looking at 1:25, we see it's a reduction scaling because it's fraction is less than unity.

And what 1:25 means is that 1 on paper while the actual size of the object is 25

The reflection over the [tex]y-axis[/tex]  then a dilation by the factor of

[tex]\frac{1}{2}[/tex] with a center of dilation at the origin.

Reflecting on the [tex]y-axis[/tex] we get the rectangle A, B, C, D.

A dilation by the factor of [tex]\frac{1}{2}[/tex] with the center of dilation at the origin transforms the rectangle A, B, C, D onto the rectangle A'B'C'D'.

So, the reflection over the [tex]y-axis[/tex]  then a dilation by the factor of [tex]\frac{1}{2}[/tex]  with a center of dilation at the origin.

The image is attached below.

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The correct sequence of transformations to map rectangle ABCD onto rectangle A'B'C'D' is a dilation by a scale factor of 1/2. This transformation reduces the size of the original rectangle without additional translation, reflection, or rotation.

The correct sequence of transformations that maps rectangle ABCD onto rectangle A'B'C'D' is:

c. a dilation by a scale factor of 1/2

Here's why:

1. A dilation by a scale factor of 1/2 reduces the size of the original rectangle by half. This transformation scales down all the coordinates by a factor of 1/2. Given the coordinates of ABCD and A'B'C'D', this is the only transformation needed to achieve similarity.

Options a and b involve additional transformations (translation and reflection) that are not required to achieve similarity, and option d introduces a rotation which is not a dilation by itself.

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Answer: $13 for the 9 mile ride.

The taxi ride that is m miles long would cost as follows: 4 + m

Step-by-step explanation:

The cost of Joseph's taxi ride is calculated by adding a flat fee of $4 to $1 for each mile driven. Thus, a 9-mile ride would cost $13. For a ride of m miles, the cost would be $4 plus $1 per mile.

The cost of a taxi ride can be determined using a function that considers two components: a flat fee, and a rate per mile. In Joseph's case, the online tax service charges a $4 flat fee for pickup, and $1 per each mile driven. Hence, the equation for the cost of a taxi ride (C) for Joseph is as follows: C= 4+1*m.

For a ride of 9 miles, we would substitute m with 9: C = 4+ 1*9, which simplifies to C = $13. Therefore, a 9-mile ride would cost $13.

For a taxi ride that is m miles long, the cost would be C = 4 + 1*m. The 4 represents the flat fee, and the 1*m represents the cost per mile that is driven multiplied by the number of miles in the ride. Therefore, a taxi ride that is m miles long would cost $4 plus $1 per mile.

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The unit rate of miles per gallon is found by dividing the total miles (150 mi) by the total gallons (10 gal), resulting in a unit rate of A) 15 miles per gallon.

To find the unit rate of miles per gallon when given 150 miles on 10 gallons of gas, we divide the total number of miles driven by the number of gallons of gas used. The calculation is as follows:

Write down the given values: 150 miles (mi) and 10 gallons (gal).

Divide the total miles by the total gallons to find the unit rate: 150 mi ÷ 10 gal = 15 mi/gal.

Therefore, the unit rate is 15 miles per gallon, which is option A: 15 mi per gal.

Answer:

79.95

Step-by-step explanation:

The first step is to rewrite the percentages into decimals so they can be added or subtracted easier. To turn a percentage into a decimal, remove the percent sign and move the decimal two spaces to the left (in other words, divide the number by 100).

12% becomes -0.12

8% becomes 0.08

Now, let's solve.

79.99 - 0.12 + 0.08

Evaluating 79.99 - 0.12, the equation becomes 79.87 + 0.08.

Evaluating 79.87 + 0.08, we get the final answer, 79.95.

Answer:

Area = 80

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Vertical length-16

Horizontal length- 10

make four separate triangles out of the rectangle

each triangle has an area of of 20 (8×5= 40 40/2=20)

multiply by 4

20×4=80

Answer:

A and B.

Step-by-step explanation:

To find the area, you need to multiply the length and width.

A = L x W

5 x 4 = 20

10 x 2 = 20

Answer:

64

Step-by-step explanation:

you do 8x2x4

Answer:

I believe the answer is B

Step-by-step explanation:

Answer:

i think it is c. good luck!!

Step-by-step explanation:

The value of x is 11.037

The correct option is (B)

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

Using Trigonometry,

cos 25 = B/ H

cos 25 = 10 / x

0.906 = 10/ x

x= 10/ 0.906

x= 11.037

Hence, the value of x is 11.037.

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Answer:

Dividing is the inverse (opposite) of Multiplying.

A negative exponent means how many times to divide by the number.

Answer:

There is a power property for negative exponent powers which says that a power with a negative exponent is equal to 1 between the same power, but with a positive exponent. In other words, to convert the exponent from negative to positive, the power is converted to the denominator

Step-by-step explanation:

so the right answer is 70.

Look at the attached picture ⤴

Hope it will help u

Answer:

B

Step-by-step explanation:

The range can be found by subtracting the lowest number from the highest number

First, arrange the numbers in order from least to greatest

350,280,340,290,320, 310,300

280, 290, 300, 310, 320, 340, 350

So, our lowest number is 280, and our highest is 350.

highest number - lowest number

Subtract 280 from 350

350-280

70

So, our range is 70, making B the correct answer

Answer:

the second one

Step-by-step explanation:

Answer:

2nd one is right

Step-by-step explanation:

Answer:

-20a

Step-by-step explanation:

-5a-6a+-9a

-11a+-9a

-20a

Answer:3

Step-by-step explanation:

Answer:

He invested $117,000 at 5% interests and  3*117,000 + 23000 = $374,000 at 6% interests

Step-by-step explanation:

Let's call x to the some money at 5% simple interest the actor invest. Then, he invested 3x + 23000 dollars at 6% simple interest.

At 5% simple interest, after one year he earned the following interests:

I = P*r*t

I = x*0.05

At 6% simple interest, after one year he earned the following interests:

I = (3x + 23000)*0.06 = 0.18x + 1380

The total annual interest earned from the investment is $28,290, then:

0.05x + 0.18x + 1380 = 28290

x = (28290 - 1380)/0.23

x = $117,000

Hi

formula. for  circumference of a circle is. : 2πR. if you have the radius.

As the diameter is twice the radius,  then  circumference is. diameter π

then : 18*π≈ 56.52

the mistake was to take the diameter as the radius.

Final answer:

The circumference of the circle is 56.52 m. Eugene made the mistake of using the radius instead of the diameter to calculate the circumference.

Explanation:

The circumference of a circle can be found using the formula C = πd, where C represents the circumference and d represents the diameter.

In this case, the diameter of the circle is given as 18 m. If we substitute this value into the formula, we get:

C = 3.14 * 18 = 56.52 m

Eugene's mistake was that he used the value of the radius instead of the diameter to calculate the circumference. The correct circumference is 56.52 m, not 113.04 m.

Answer:

84 inches

Step-by-step explanation:

A regular hexagon has 6 sides where all 6 sides are congruent meaning that each side is 14 inches.

Hence:

14*6=84

In Conclusion:

The perimeter of the hexagon is 84 inches.

Hope this helps!

Answer:

84

Step-by-step explanation:

14+14+14+14+14+14=84

A hexagon has 6 equal sides and you add all of the sides to find perimeter.

Answer:

6 * x^6

Step-by-step explanation:

We have  (12x^9) / (2x^3)

(12x^9) / (2x^3)  =  6 * (x^9/x^3)    Divide the constants first

(12x^9) / (2x^3)  = 6 * x^ (9-3)

(12x^9) / (2x^3)  = 6 * x^6

the answer is C, I think because parallel lines never touch

The required answer is two lines are parallel if and only if they lie in the same plane and do not intersect, and two lines are perpendicular if and only if they lie in the same plane and intersect at the right angles. Option   A is correct.

Given that,
An incomplete statement is given,
We have to complete the statement using the appropriate options that thinks fit to black space.

The line is a curve showing the shortest distance between 2 points.

Here,
Two lines are ___ if and only if they lie in the same plane and do not intersect.
The above statement is the definition of parallel lines, so the complete statement is,
Two lines are parallel if and only if they lie in the same plane and do not intersect.,

Two lines are __ if and only if they lie in the same plane and intersect at the right angles

The above statement is the definition of perpendicular,
So the complete statement is,
Two lines are perpendicular if and only if they lie in the same plane and intersect at the right angles.

Thus, the required correct option is option A, Parallel and perpendicular.

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Answer:

$30 to $40

Step-by-step explanation:

387/25= 15.48 (this is how big the tank is)

15.48*2.13= 32.97 (about 33 paying for the highest price)

Sylvie will need approximately 15.48 gallons of gas for her 387-mile trip. With gas prices ranging from $1.95 to $2.13 per gallon, she should plan to spend between $30.20 and $32.96. Therefore, the anticipated cost falls between $30 and $40 that is option B is correct.

To calculate the cost of gas for the trip, we need to follow these steps:

Determine the number of gallons of gas needed for the trip:

Number of Gallons = Total Miles / Miles per Gallon

Number of Gallons = 387 miles / 25 miles per gallon = 15.48 gallons

Calculate the minimum and maximum cost of gas:

Minimum Cost = Number of Gallons * Minimum Price per Gallon

Minimum Cost = 15.48 gallons * $1.95 per gallon ≈ $30.20

Maximum Cost = Number of Gallons * Maximum Price per Gallon

Maximum Cost = 15.48 gallons * $2.13 per gallon ≈ $32.96

Both calculations indicate the cost will fall between $30 and $40. Therefore, the correct answer is: $30 to $40.

Answer:

(4,4)

Step-by-step explanation:

Answer:

(4,4). You already know the y value is 4, so you just plug that into the second equation. You'd get 3x-8=4, then 3x=12, then x=4. (x,y)=(4,4)

Final answer:

To express [tex]8^{1/2[/tex]in simplest radical form, recognize that it's equivalent to the square root of 8, then simplify to 2√2 by breaking down 8 into prime factors and finding pairs of factors.

Explanation:

To express [tex]8^{1/2[/tex] in simplest radical form, we follow these steps:

Recognize that an exponent of 1/2 is equivalent to the square root.

Find the square root of 8, which can also be written as √8.

Since 8 is not a perfect square, we can simplify it by breaking it down into its prime factors: 8 = 2 x 2 x 2.

Group the factors into pairs to determine the square root: 8 has one pair of 2s.

This pair comes out of the radical as a single 2, leaving one 2 inside the radical: 2√2.

Therefore, 8^1/2 simplifies to 2√2, which is the simplest radical form.

Answer:

[tex]x=-30;\quad \:I\ne \:0[/tex]

Step-by-step explanation:

[tex]In\cdot \:4+In\left(4x-15\right)=In\left(5x+19\right)[/tex]

[tex]\:4+In\left(4x-15\right):\quad -11nI+4nxI\\In\cdot \:4+In\left(4x-15\right)\\=4nI+nI\left(4x-15\right)\\\\\:In\left(4x-15\right):\quad 4nxI-15nI\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=In,\:b=4x,\:c=15\\=In\cdot \:4x-In\cdot \:15\\=4nxI-15nI\\=In\cdot \:4+4nxI-15nI\\\mathrm{Simplify}\:In\cdot \:4+4nxI-15nI:\quad -11nI+4nxI\\In\cdot \:4+4nxI-15nI\\\mathrm{Group\:like\:terms}\\=4nI-15nI+4nxI\\\mathrm{Add\:similar\:elements:}\:4nI-15nI=-11nI\\=-11nI+4nxI\\[/tex]

[tex]\mathrm{Expand\:}In\left(5x+19\right):\quad 5nxI+19nI\\In\left(5x+19\right)\\=nI\left(5x+19\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=In,\:b=5x,\:c=19\\=In\cdot \:5x+In\cdot \:19\\=5nxI+19nI\\\\-11nI+4nxI=5nxI+19nI\\\\\mathrm{Add\:}11nI\mathrm{\:to\:both\:sides}\\-11nI+4nxI+11nI=5nxI+19nI+11nI\\Simplify\\4nxI=5nxI+30nI\\\mathrm{Subtract\:}5nxI\mathrm{\:from\:both\:sides}\\4nxI-5nxI=5nxI+30nI-5nxI\\\mathrm{Simplify}\\-nxI=30nI\\[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-nI;\quad \:I\ne \:0\\\frac{-nxI}{-nI}=\frac{30nI}{-nI};\quad \:I\ne \:0\\\mathrm{Simplify}\\\frac{-nxI}{-nI}=\frac{30nI}{-nI}\\\mathrm{Simplify\:}\frac{-nxI}{-nI}:\quad x\\\frac{-nxI}{-nI}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{nxI}{nI}\\\mathrm{Cancel\:the\:common\:factor:}\:n\\=\frac{xI}{I}\\\mathrm{Cancel\:the\:common\:factor:}\:I\\=x\\\mathrm{Simplify\:}\frac{30nI}{-nI}:\quad -30\\\mathrm{Apply\:the\:fraction\:rule}:[/tex]

[tex]\quad \frac{a}{-b}=-\frac{a}{b}\\\mathrm{Cancel\:the\:common\:factor:}\:n\\=\frac{30I}{I}\\\mathrm{Cancel\:the\:common\:factor:}\:I\\=-30\\x=-30;\quad \:I\ne \:0[/tex]

Answer:

184

Step-by-step explanation:

Answer:

C

Step-by-step explanation: