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3 years ago

The area of a triangle A is given as A =1/2 bh, where b is the base an h = height. (a) find h if A =30 and b=10

Mathematics

1 answer:

Andreas93 [3]3 years ago

3 0

Answer:

h = 6

Step-by-step explanation:

Substitute the given to its corresponding places.

30 = $\frac{1(10)h}{2}$

30 = 10h/2

Multiply both sides by two to remove the denominator.

2 [30 = 10h/2] 2

60 = 10h

Divide both sides by 10 to isolate h.

h = 6

To check, substitute everything to the original equation:

A = $\frac{1(10)(6)}{2}$

A = 30 !

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A basketball coach keeps track of the points scored per game for all of her players. She gives a trophy to to the player with th

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Answer:

She wants to take unusually of the good and bad games into account

Step-by-step explanation:

Given that a basketball coach keeps track of the points scored per game for all of her players. A trophy is given to the player with the highest mean score at the end of the season.

Mean vs median:

Mean is the arithmetic average of all the entries while median is the middle entry after arranging in ascending order.

Median is not affected by extreme items but mean is very much affected by unusually high or low scores.

Here since the trophy is decided to be given to the highest mean score it is obvious that

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Because of this only, mean is taken instead of median.

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3 years ago

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A bridge is built in the shape of a parabolic arch. The bridge arch has a span of 166 feet and a maximum height of 40 feet. Find

scoray [572]

Answer:

38.27775 feet

Step-by-step explanation:

The bridge has been shown in the figure.

Let the highest point of the parabolic bridge (i.e. vertex of the parabola) be at the origin, $O(0,0)$ in the cartesian coordinate system.

As the bridge have the shape of an inverted parabola, so the standard equation, which describes the shape of the bridge is

$x^2=4ay\;\cdots(i)$

where $a$ is an arbitrary constant (distance between focus and vertex of the parabola).

The span of the bridge = 166 feet and

Maximum height of the bridge= 40 feet.

The coordinate where the bridge meets the base is $A(83, -40)$ and $B(-83, -40).$

There is only one constant in the equation of the parabola, so, use either of one point to find the value of $a$ .

Putting $A(83,-40)$ in the equation (i) we have

$83^2=4a(-40)$

$\Rightarrow a=-43.05625$

So, on putting the value of $a$ in the equation (i), the equation of bridge is

$x^2=-172.225y$

From the figure, the distance from the center is measured along the x-axis, x coordinate at the distance of 10 feet is, $x=\pm 10$ feet, put this value in equation (i) to get the value of y.

$(\pm10)^2=-172.225y$

$\Rightarrow y=-1.72225$ feet.

The point $P_1(10,-1.72225)$ and $P_2(-10,-1.72225)$ represent the point on the bridge at a distance of 10 feet from its center.

The distance of these points from the x-axis is $d=1.72225$ feet and the distance of the base of the bridge from the x-axis is $h=40$ feet.

Hence, height from the base of the bridge at 10 feet from its center

$= h-d$

$=40-1.72225=38.27775$ feet.

8 0

3 years ago

a cell phone company has a basic monthly plan of $40plus $0.45 for many minutes ised over 700. John was charged a total of $48.1

jonny [76]

Cost of month plan = $40

Cost of minutes used = $0.45 after 700 minutes

Total cost = $48.10

Let x be the total minutes used
Total cost = 40 + 0.45(x - 700)

------------------------------------------------------------------
Form the equation and solve x
------------------------------------------------------------------
40 + 0.45(x - 700) = 48.10
40 + 0.45x - 315 = 48.10
0.45x - 275 = 48.10
0.45x = 48.10 + 275
0.45x = 323.10
x = 323.10 ÷ 0.45
x = 718

------------------------------------------------------------------
Answer: John had used 718 mins this month
------------------------------------------------------------------

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4 years ago

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oksian1 [2.3K]

Answer:

Step-by-step explanation:

First, subtract 9 on both sides:

d+9-9=15-9

d=6

Hope this helped!

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3 years ago

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