If sec(x)=13/12 what is cos(x)?

Answer:

Area of Original rectangle = 18 in²→→Pre image

Area of Rectangle after Dilation =2 in²→→Image

As, Pre image and image will be similar to each other.

And size of rectangle that is image is [tex]\frac{2}{18}=\frac{1}{9}[/tex] of the Original rectangle called Pre image.

So, option A, Divide the area of original rectangle by 9, that is dilation factor of [tex]\frac{1}{9}[/tex] has taken place.

Divide them by nine.

The cost for 15 cans of coffee is found by first determining the cost per single can, which is $2, and then multiplying this cost by the number of cans, resulting in a total of $30 for 15 cans.

To calculate the cost of 15 cans of coffee when a pack of six cans costs $12, we first need to find the cost of a single can. To do this, we divide the cost of the pack by the number of cans in the pack:

Cost per can = Total cost of the pack / Number of cans in the pack

Cost per can = $12 / 6 = $2

Now that we know the cost of one can, we can calculate the cost for 15 cans:

Total cost for 15 cans = Cost per can * Number of cans

Total cost for 15 cans = $2 * 15 = $30

Final answer:

To find the volume of Ms. Jones's pyramid with an equilateral triangle base area of 6 square inches and a height of 15 inches, we use the volume formula for a pyramid, V = [tex]\frac{1}{3}[/tex] × base area × height, resulting in a volume of 30 cubic inches.

Explanation:

To calculate the volume of the pyramid, we use the formula for the volume of a pyramid which is V = [tex]\frac{1}{3}[/tex] × base area × height. The base of Ms. Jones's decorative pyramid is an equilateral triangle with an area of 6 square inches, and the pyramid's height is 15 inches. First, we need to find the volume using the given base area and height.

Substituting the values into the formula, we get:

V = [tex]\frac{1}{3}[/tex] × 6 in² × 15 in

V = 2 in² × 15 in

V = 30 in³

Therefore, the volume of Ms. Jones's pyramid is 30 cubic inches.

Answer:

[tex]slope=\dfrac{4}{3}[/tex]

Step-by-step explanation:

Given: The table of linear function.

x :  -3  , 0 , 3,  6

y :  -6 , -2 , 2,  6

Slope=change in y over change in x

[tex]slope=\dfrac{-2+6}{0+3}=\dfrac{4}{3}[/tex]

Passing point: (0,-2)

Point slope form:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y+2=\dfrac{4}{3}(x-0)[/tex]

[tex]y=\dfrac{4}{3}x-2[/tex]

Slope of the linear function [tex]=\dfrac{4}{3}[/tex]

Linear function is [tex]y=\dfrac{4}{3}x-2[/tex]

Hence, The slope of linear function is [tex]\dfrac{4}{3}[/tex]

The period of the function is 2π.

The time interval between two waves is known as a Period whereas a function that repeats its values at regular intervals or periods is known as a Periodic Function.

Given:

y = 3 csc x

As, csc(x) carry the reciprocal identity of sin(x).

So, they both have the same period

The period of sin(x) is 2π.

Hence, the period of csc(x) is 2π.

Learn more about period of function here:

https://brainly.com/question/14325171

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Answer:

Step-by-step explanation:

For the florist problem you would do 6 assistance

Final answer:

The equation is : x + 4x = 286, where x represents the smaller tank's capacity.

Explanation:

To write the statement as an equation and solve it, let's denote the smaller tank's capacity as x gallons. Therefore, the larger tank would be 4x gallons because it holds four times as much. The problem states that together they hold 286 gallons, which gives us the equation:

x + 4x = 286

Combining like terms, we get 5x = 286. Dividing both sides of the equation by 5 to solve for x, we find:

x = 286 / 5

x = 57.2

Therefore, the smaller tank holds 57.2 gallons, and the larger tank holds 4 times that amount, which is 57.2 * 4 = 228.8 gallons.

Answer : option C

Explanation:

there will be 4 roots for the given polynomial but in graph you will see 3 points because (2,0) is repeating two times

we can see the root graphically

the points that intersect  x-axis are the roots

Here, x-axis is cut at 3 points so, these points will be the root of given polynomial.

please see the attached graph

Answer:

$546

Step-by-step explanation:

The profit from sweatshirt sales was $302.

To find the profit from sweatshirt sales, we need to find the total profit from T-shirts and sweatshirts and then calculate 1/3 of that amount. We know that the profit from T-shirt sales is $1,632 and the vendor paid the rock band $726. Let's use these numbers to calculate the profit from sweatshirt sales:

Therefore, the profit from sweatshirt sales was $302.

Final answer:

To determine how many students at Middle Ave School ate pizza, multiply the fraction on the track team (1/3) by those who ordered pizza (3/5), which equals 3/15 or simplified to 1/5 of the students.

Explanation:

To find out what fraction of the students at Middle Ave School ate pizza, you need to multiply the fractions that represent the students on the track team and those who ordered pizza. Initially, we know that 1/3 of the students are on the track team. Of these students, 3/5 ordered pizza. Multiplying these two fractions gives us the fraction of the entire student body that ordered pizza.

To multiply fractions, you multiply the numerators together and then the denominators together. So, for this problem, you'd multiply 1 by 3 to get the numerator, and then 3 by 5 to get the denominator:

1/3 * 3/5 = 3/15

But 3/15 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3:

3/15 = 1/5

Therefore, 1/5 of the students at Middle Ave School ate pizza.

Answer:

The height is 21 inches.

Step-by-step explanation:

We can find the height by using Pythagoras theorem.

As we know it is an isosceles triangle. So, the base can be divided equally in 2 parts for both triangles.

So, we can take the hypotenuse as 29 inches and base as 20 inches.

Now applying Pythagoras theorem, we get;

[tex]29^{2} =20^{2} +x^{2}[/tex]

[tex]841=400+x^{2}[/tex]

=>[tex]841-400=x^{2}[/tex]

=>[tex]x^{2} =441[/tex]

[tex]x=\sqrt{441}[/tex]

x=[tex]\sqrt{3*7*3*7}[/tex]

=> [tex]x=21[/tex]

Hence, the height is 21 inches.

The correct answer for your question is 79 seconds.

7/8 - 1/4

 rewrite 1/4 with the same denominator as 7/8

1/4 = 2/8

now you have 7/8 - 2/8 = 5/8

 answer is 5/8

A.sum of cubes is the correct answer on E.D.G.U

Good luck!