How is finding the area of a trapezoid different from finding the area of a parallelogram and a triangle?

a crane lifts a pallet of concrete blocks 7 ft from the back of the truck . the truck driver away and the crane lowers the palle

n200080 [17]

Answer:

4 ft down as per the image attached.

5 ft down as per the question statement.

Step-by-step explanation:

Given that:

A Pallet of concrete blocks is at the back of a truck.

The pallet is lifted by the crane to a height of 8 ft (as per image attached ) or 7 ft (as per question statement) and then the truck moves forward.

Now, the pallet is lowered down to a distance of 12 ft.

To find:

The final position of the pallet relative to the position from the back of the truck?

Solution:

If we closely look at the figure attached, it can be interpreted that the pallet is taken 8 feet above and then 12 feet down.

Therefore, if we subtract 8 feet from 12 feet, we will have our answer.

So, the position of the pallet with respect to its position in the truck is =

12 ft - 8 ft = <em>4 ft down</em>.

If we consider the question statement:

12 ft - 7 ft = <em>5 ft down</em>

5 0

3 years ago

Kirby is four miles from the train station, from which a train is due to leave in 56 minutes. Kirby is walking along at 3 mph, a

Luda [366]

Let's assume that Kirby walks with a speed
$v_1 = 3 mph$
for a time $t_1$ , and that he runs with a speed
$v_2 = 12 mph$
for a time $t_2$ .

The total time available for Kirby to catch the train is:
$t=56 min = 0.93 h$
and this must be equal to the sum of the two times t1 and t2:
$0.93 = t_1 + t_2$

The distance Kirby should cover is
$S=4 m$
and this should be equal to the sum of the distances covered by walking and by running:
$4 = S_1 + S_2 = v_1 t_1 + v_2 t_2 = 3 t_1 + 12 t_2$

So we have a system of 2 equations:
$0.93 = t_1 + t_2$
$4 = 3 t_1 + 12 t_2$

If we solve the system, we find:
$t_1 = 0.80 h = 48 min$
$t_2 = 0.13 h = 8 min$

So, Kirby needs to run at least for 8 minutes in order to catch the train.

6 0

3 years ago

0.11:1.21 into a simplest form

Paraphin [41]

Answer: 0.01:0.11

Step-by-step explanation:

11 goes into 121

11 times

So if you simplify that you’d get 0.01:0.11

8 0

4 years ago

Read 2 more answers

Which is true about the polynomial y^2- 3y +12?

Oksanka [162]

It has 3 terms (y²) and (-3y) and (12), so it's a trinomial.

The degree of a polynomial with 1 variable is the highest exponent...so it has a degree of 2. But if it had more then 1 variable, it would be different.

ANSWER: The polynomial is a trinomial with a degree of 2

8 0

3 years ago

HELP!! Which of these linear equations best describes the given model?

viktelen [127]

Option B:

The linear equation that best describes the model is y = 40x + 800.

Solution:

Take two points which exactly on the line.

Let the points are (0, 800) and (10, 1200).

$x_1=0, y_1=800, x_2=10, y_2=1200$

Slope of the line:

$$m=\frac{y_2-y_1}{x_2-x_1}$

$$m=\frac{1200-800}{10-0}$

$$m=\frac{400}{10}$

m = 40

y-intercept of the line is where the line crosses at y-axis.

y-intercept (b) = 800

Equation of a line:

y = mx + b

y = 40x + 800

The linear equation that best describes the model is y = 40x + 800.

Option B is the correct answer.

4 0

3 years ago