The parent cosecant function is shifted 4 units right and 3 units up. Which of the following is the graph of the transformed fun

Response:

a)12 b)12 c)36

Detailed steps:

a) Identify the least common multiple. The quantity of marbles corresponds to that value multiplied by n (with n representing an integer)

b) The least common multiple is calculated as 4*3=...

c)12*3 =?

Afterward, simply divide by 2, 3, and 4 to find the solution

From AA3+2=AAA, it follows that 3+2 equals A, so A must be 5.
Given CC6+6=CBB, since 6+6 equals 12, the final digit has to be 2, making B=2. Additionally, adding 6 to 6 increases the tens digit by one, meaning B is one more than C, so C=1 (since 2-1=1). Therefore, ABC equals 521.

Answer:

Step-by-step explanation:

Given that the triangle's height measures 8 and the base length is 3, we can apply the concept of similar triangles to represent the base of the smaller triangle in relation to h.

The height of the smaller triangle will be .

Denote x as the base of the smaller triangle. Thus, by utilizing the properties of similar triangles, we can establish ratios of the corresponding sides as illustrated below:

This allows us to express the area of the small strip with length x and thickness Dh as follows:

The desired Riemann sum can be articulated as:

The necessary areas can be represented as:

Your remaining answers are accurate.:)

Answer:

Refer to the explanation below.

Step-by-step explanation:

We start with a small aircraft that flies 760,320 yards within a duration of 2 hours.

A)

The formula for distance is:

To isolate the rate r, we divide both sides by time:

B)

To calculate the rate in yards per hour, divide the total yards by the hours taken. Therefore:

Perform division:

Thus, the aircraft speeds at 380,160 yards every hour.

C)

There are 1,760 yards in a mile.

To compute the speed in miles per hour, we apply dimensional analysis.

We recognize the rate is 380,160 yards per hour:

To cancel "yards" from the numerator, we multiply by 1 mi/1,760 yards. Therefore:

This eliminates yards:

Now, multiply the values across:

Then divide:

The final rate for the plane is 216 miles per hour.

D)

Miles are a more appropriate measurement in this context because the distance is substantial, making it impractical to express using yards. A rate of 380,160 yards per hour is excessive, whereas 216 miles per hour provides a clearer understanding.

Answer:

The blimp's altitude is 1635.363039 feet above the ground.

Step-by-step explanation:

Archie and Veronica stand one mile (5280 ft) apart on the ground, leading to AV = 5280 feet.

Let's denote the blimp's height above ground as XB = h feet.

Archie records the angle of elevation from the ground to the blimp as 53 degrees, signifying angle ∠BAX = 53°.

Veronica, meanwhile, measures the angle of elevation to the blimp at 22 degrees, indicating angle ∠BVX = 22°.

In Right triangle ΔAXB, we utilize cot(A) = AX / XB.

Thus, AX can be expressed as AX = XB*cot(A) = h*cot(53°) = 0.75355405*h.

In Right triangle ΔVXB, cot(B) is similar: cot(B) = VX / XB.

Consequently, VX is VX = XB*cot(B) = h*cot(22°) = 2.475086853*h.

We know AV = 5280, meaning AX + VX = AV.

Therefore, AX + VX equals 5280.

From here, we can write: 0.75355405*h + 2.475086853*h = 5280.

This simplifies to: 3.228640904*h = 5280.

Thus, h is calculated as 5280 / 3.228640904 = 1635.363039 feet.

Thus, the blimp's height from the ground is 1635.363039 feet.