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Alona [7]
3 years ago
12

Does anyone know how to answer this question I'm having a lot of trouble with it?

Mathematics
1 answer:
Helen [10]3 years ago
5 0

Answer:

h = \frac{2A}{(b+c)}

Step-by-step explanation:

Formula for the area of a trapezoid is,

Area (A) = \frac{1}{2}(b+c)h

Here b and c are the bases and 'h' is the height of the trapezoid.

2A = 2[\frac{1}{2}(b+c)h]

2A = (b + c)h

\frac{2A}{(b+c)}=h

Therefore, formula for the height of the trapezoid will be,

h = \frac{2A}{(b+c)}

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SOCCER Alice kicks a soccer ball towards a wall. The ball is deflected off the wall at an angle of 40°,
Aleksandr-060686 [28]

Answer:

The ball is 3.86 meters from the wall when it stops rolling.

Step-by-step explanation:

Representation of the situation:

This situation can be represented by a right triangle:

The hypotenuse is the distance the ball traveled, of 6 meters.

The distance from the wall is the side opposite to the angle of 40º.

We have that:

Sine of an angle is the length of the opposite side divided by the hypotenuse. So, in this situation.

Sine of 40 degrees = Distance from the wall/6

Sine of 40 degrees is of 0.64278760968.

Distance = 6*0.64278760968 = 3.86.

The ball is 3.86 meters from the wall when it stops rolling.

3 0
3 years ago
Please help!!!! don't understand!!!
Talja [164]

I dont know, im working it out now, or im trying to

8 0
3 years ago
Evaluate the expression 3⋅f(−4)−3⋅g(−2)
wel

Answer:

-6g

Step-by-step explanation:

3 0
3 years ago
When Klorina swims with the current, she swims 10 km in 2 h. Against the current, she can swim only 8 km in the same time. How f
nasty-shy [4]

Answer:

Klorina's rate in still water is 4.5 km/h

Current's rate is 0.5 km/h

Step-by-step explanation:

Let

x km/h = Klorina's rate in still water

y km/h = current's rate

<u>With the current (current helps):</u>

Distance = 10 km

Time = 2 hours

Rate = x + y km/h

10=2(x+y)

<u>Against the current:</u>

Distance = 8 km

Time = 2 hours

Rate = x - y km/h

8=2(x-y)

Divide both equations by 2:

x+y=5\\ \\x-y=4

Add these equations:

x+y+x-y=5+4\\ \\2x=9\\ \\x=4.5\ km/h

Subtract these two equations:

(x+y)-(x-y)=5-4\\ \\x+y-x+y=1\\ \\2y=1\\ \\y=0.5\ km/h

4 0
3 years ago
The scores on a test are normally distributed with a mean of 78 and a standard deviation of 13. Find the score that is 2 standar
Veronika [31]

Answer:

52

Step-by-step explanation:

Given that :

Mean (m) = 78

Standard deviation (s) = 13

Score that is 2 standard deviations below the mean

Using the relation :

Zscore = (x - m) / s

2 standard deviations below the mean means a Zscore of - 2

Hence,

-2 = (x - 78) / 13

Cross multiply

-2 * 13 = x - 78

-26 = x - 78

x = - 26 + 78

x = 52

Score which is 2 standard deviations below the mean is 52

4 0
3 years ago
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