The second hand on a clock is 8 cm long. What is the distance the tip of the second hand travels in 10 minutes?

Please walk me through the process of solving for the area of this triangle (round to nearest tenth) Thanks!!

grandymaker [24]

Answer:

area is 21

Step-by-step explanation:

the formula to find the area of a triangle is

area = 1/2 x base x height

so we can plug the numbers of your triangle in to that formula

the base is 7 and height is 6

area = 1/2 x 7 x 6

area = 1/2 x 42

area = 21

6 0

3 years ago

A farmer owns a 100 acre farm and plans to plant at most three crops. The seed for crops A,B, and C costs $40, $20, and $30 per

aev [14]

Answer:

The number of acre per crop for maximum profit is;

Crop A = 0 acres

Crop B = 60 acres

Crop C = 40 acres

Profit, P = $26,000

Step-by-step explanation:

We plant A in X acres

B in Y acres and

C in Z acres

Therefore, X + Y + Z ≤ 100

we work A for 1·X workdays

B for 2·Y workdays and

C for 1·Z workdays

Where X + 2·Y + Z ≤ 160

$40·X for crop A

$20·Y for crop B and

$30·Z for crop C is spent whereby

$40·X + $20·Y + $30·Z ≤ $3200

The farmer makes

$100·X from crop A

$300·Y from crop B and

$200·Z from crop C

P = $100·X + $300·Y + $200·Z

Therefore, we have three equations with three unknowns solving the equations simultaneously, we have

X + Y + Z = 100....................................................(1)

X + 2·Y + Z = 160.................................................(2)

$40·X + $20·Y + $30·Z = $3200....................(3)

By subtracting equation (1) from (2) gives Y = 60 acres

Multiplying equation (1) by 40 and subtracting from (3) we have Z = -40

and therefore, Y = 80

If he plants only B the farmer has 2 work day per acre and since there is a max of 160 days, he can only plant on 80 acres, therefore, total profit = $300 × 80 = $24,000

Comparing the profit per acre to the seed cost we have Profit for seed A = $100 while cost = $40 per acre,

If we remove seed A we have

Y + Z = 100....................................................(4)

2·Y + Z = 160.................................................(5)

$40·X + $20·Y + $30·Z = $3200....................(3)

Solving equation (4) and (5), we have Y = 60 acres and Z = 40 acres

Therefore, the profit becomes

$300 × 60 + $200 × 40 = $26,000.

3 0

3 years ago

4) The line -3x + 4y = 8 is transformed by a dilation centered at the origin. Which linear equation could represent its image?

Dimas [21]

Answer:

4) The linear equation which could represent its image is y = $\frac{3}{4}$ x + 8 ⇒ (2)

5) The equation of the image of the line is y = $\frac{3}{2}$ x - 3 ⇒ (4)

Step-by-step explanation:

Dilation does not change the slope of a line but changes the y-intercept

Dilation of a line segment is longer or shorter by ratio that equal to the scale factor of dilation

4)

The slope-intercept form of the linear equation is y = m x + b, where m is the slope of the line and b its y-intercept

Let us put the given equation in the slope-intercept form to find its slope

∵ The line -3x + 4y = 8 is transformed by a dilation centered at

the origin

- Add 3x to both sides

∴ 4y = 3x + 8

- Divide both sides by 4

∴ y = $\frac{3}{4}$ x + 2 ⇒ the equation of the line before dilation

- By comparing it with the form above, then m = $\frac{3}{4}$ , so the

equation after dilation has the same slope

∵ The slope of the line before dilation is $\frac{3}{4}$

∴ The slope of the line after dilation is $\frac{3}{4}$

∵ The equation that has the slope $\frac{3}{4}$ is y =

∴ The equation of the image of the line is y = $\frac{3}{4}$ x + 8

The linear equation which could represent its image is y = $\frac{3}{4}$ x + 8

5)

∵ The equation of the line is y = $\frac{3}{2}$ x - 4

∵ The scale factor of dilation is $\frac{3}{4}$

- Dilation dose not change the slope of the line

∴ The slope of the image after dilation is $\frac{3}{2}$

- Dilation changes the y-intercept, to find it multiply the scale

factor of dilation by the y-intercept of the line before dilation

∵ The y-intercept of the line is (0 , -4)

- Multiply it by $\frac{3}{4}$

∵ $\frac{3}{4}$ × -4 = -3

∴ The y-intercept of the image is (0 , -3)

∴ The equation of the image of the line is y = $\frac{3}{2}$ x - 3

3 0

3 years ago

Whoever helps with 3 and 4 gets brainliest answer and 10 points :)

MrMuchimi

Mean: The average or the center of the value. To find this, you add up all the numbers and divide by how many numbers there are.
Example: 3, 4, 5
3+4+5 = 12.
There are 3 numbers.

12/3 = 4. The mean is 4

Median: Median means the middle value. You place the numbers in order and locate the middle value.

Example: 5, 4, 3 -> 3,/ 4,/ 5. Middle number 4.

Mode: Place the numbers in order then count how much each number appears. The number that appears the most repeatedly would be the mode.

Example: 3, 4, 4, 4, 5, 5.

The mode would be 4.

Range: Locate the highest and the lowest values of the given set and subtract the smallest to the largest.

Do you know where to start now?

5 0

3 years ago

8(1 - 5x) + 5 = -2 + 5x

andriy [413]

X=1/3
Distribute 8 through the parentheses
8-40x+5=-2+5x
Add the numbers
13-40x+5=-2+5x

Answer: x=1/3

7 0

3 years ago