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3 years ago

Find the areas of the trapezoids.

Mathematics

1 answer:

IceJOKER [234]3 years ago

5 0

Answer:

30 units^2

Step-by-step explanation:

The area of a trapezoid is

A = 1/2 (b1+b2)h

The scale is 2 units per line

b1 = 2 units

b2 = 8 units

h = 6 units

A = 1/2 ( 2+8) * 6

= 1/2 (10)6 = 30 units^2

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TIME REMAINING

ExtremeBDS [4]

9 because 9x3=27 or 27/3=9

5 0

3 years ago

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A model rocket is launched with an initial velocity of 200 ft per second. The height h, in feet, of the rocket t seconds after t

Solnce55 [7]

Answer:

2.10 s, 10.40 s.

Step-by-step explanation:

We know that the height of the rocket is given by the function:

$h=-16t^2+200t$

We are asked to find the time for which the height of the rocket will be 350 ft. So, for that moment, we know the height but we don't know the time; however, we know that the equation can help us to find the time, doing h=350:

$350=-16t^2+200t$

The last is a quadratic equation, which can be put in the form $at^2+bt+c=0$ and solved applying the formula:

$t=\frac{-b+-\sqrt{b^2-4ac} }{2a}$

So, let's put the equation on the form $at^2+bt+c=0$ adding $16t^2$ and subtracting $200t$ to each side of the equation; the result is:

$16t^2-200t+350=0$

So, we note that a=16, b=-200, and c=350.

Then,

$t_1=\frac{200-\sqrt{200^2-4*16*350} }{2*16}=2.10$

$t_2=\frac{200+\sqrt{200^2-4*16*350} }{2*16}=10.40$

According to the equation, that are the times for which the height will be 350 ft; that is because the rocket is going to ascend and then to fail again to the ground.

4 0

3 years ago

1. A study of college freshmen found that students who watched TV for more than one hour each night gained 15 pounds in the firs

umka21 [38]

Answer:

C. They most likely used an observational study asking students to keep track of their TV habits and weight.

A. This is an experiment because a treatment was applied to a group.

Step-by-step explanation:

According to our question:

1. The study concluded that there is a relation between watching TV and the weight gain in college freshmen.

Now, this is possible when a group of college students were asked to participate to watch TV for more than 1 hour for a specific amount of time and have a record of their weights.

So, the study is an observational study where the habits and weights of college students were observed.

Hence, option C is correct.

2. The students were divided onto two groups where one group used the computer program and the other did not to check the improvement in the reading levels.

This means that the students were given a procedure to follow during the study in order to see the results..

So, the study is an experiment where a treatment is applied to the group of students.

Hence, option A is correct.

8 0

3 years ago

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carly tutors stufents in math on the weekends and offers both thirty minute and sixtyminute sessions she earns $15for each thirt

Ronch [10]

Answer:

X=7

Step-by-step explanation:

7*15=105 7-2=5 5*25=125 125+105=230