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SVETLANKA909090 [29]
3 years ago
5

What is the area of this trapezoid? Enter your answer in the box. Cm² Trapezoid with top base length of 14 centimeters, bottom b

ase length of 28 centimeters, and a height of 16 centimeters
Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
7 0

Answer: 336 square centimeters.

Step-by-step explanation:

We know that the area of the trapezoid is given by :-

A=\dfrac{1}{2}h(a+b) , where a and b are the measure of opposite parallel sides and h is height.

Given : a = 14 cm   ; b= 28 cm    h= 16

Then, the area of the trapezoid will be :-

A=\dfrac{1}{2}(16)(14+28)\\\\=8\times42=336\ cm^2

Hence, the area of trapezoid = 336 square centimeters.

Sonja [21]3 years ago
4 0

Answer: 336 cm²

Step-by-step explanation:

A trapezoid looks like a rectangle with 2 traingles attached to the side, yeah? So imagine cutting off those 2 triangles. In the middle you have a rectangle with the dimensions of 14 cm by 16 cm. The area of that rectagle is 224 cm². By subtracting the top base length from the bottom base length, you get the length of the two triangles. So, it would be 28 cm - 14 cm, giving you 14 cm. There were 2 triangles, so cut that length in half and you get 7 cm for the base of one traingle. To find the area of 1 traingle, you would do 1/2 multiplied by 7 multiplied by 16. But you have 2 triangles. so the 1/2 step isn't needed because if you put the two triangles together, you get a new rectangle. Thus, when you add the area of this new rectangle, you get 112 cm². Add this to the original rectangle, and your final area is 336 cm².

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Select the correct answer. The graph of function f is shown. An exponential function passes through (minus 4, 9), (0, 1), (1, 0)
aksik [14]

The answer choice which correctly draws a comparison between the end behaviours of the functions is; Choice C; They have the same end behavior as x approaches -∞ and same end behavior as x approaches ∞.

<h3>Which answer choice correctly compares the end behaviour of the functions?</h3>

As given in the task content; the graph of the exponential function passes through (-4, 9), (0, 1), (1, 0), and (5, -2).

It therefore follows that as; x reduces (approaches -∞), the y value increases.

And, as x -increases (approaches +∞), the y-value decreases.

For the table, the values can be written as coordinates as follows; (-1,2), (0,4), (1,6), (2, 0), (3,-2).

Consequently, as x reduces (approaches -∞), the y- values decrease.

And, as x increases (approaches +∞), the y-values decrease.

Ultimately, the two functions in discuss can be concluded to have; Choice C.

Read more on end behaviour of functions;

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2 years ago
Explain are you multiply and divide integers?
lord [1]
If you're asking if you can or cannot multiply integers, then yes you can

6 0
3 years ago
The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 mi
rewona [7]

Answer:

a. 8.66 minutes

Step-by-step explanation:

Since the flight times are uniformly distributed, the standard deviation can be calculated as follows:

\sigma = \frac{b-a}{\sqrt{12}}

Where '<em>b' </em>is the maximum flight time (150 minutes) and '<em>a' </em>is the minimum flight time (120 minutes):

\sigma = \frac{150-120}{\sqrt{12}}\\\sigma = 8.66\ minutes

The distribution's standard deviation is 8.66 minutes.

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The circumference of a circle is 9.37cm.
klasskru [66]

Answer:

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Step-by-step explanation:

i hoped this helps.

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2 years ago
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The dimensions of the tank are 50 cm by 32 cm by 20 cm. The tank is full of water and sand. The ratio of the volume of water to
Sauron [17]

Given:

Dimensions of a tank are 50 cm by 32 cm by 20 cm

The tank is full of water and sand

Ratio of volume of water to the volume of sand is 5:1

To find:

Volume of water in the tank in liters

Solution:

Without loss of generality, let,

Length of tank = 50 cm

Breadth of tank = 32 cm

Height of tank = 20 cm

Then, we have,

Total Volume of the tank = Length * Breadth * Height

\Rightarrow Total Volume = 50*32*20 cc

\Rightarrow Total Volume = 32000 cc

It is given that,

Volume of water : Volume of sand = 5:1

\Rightarrow (Volume of water)/(Volume of sand) = 5/1

Cross multiplying, we have,

Volume of sand = (Volume of water)/5

It is also given that the tank is full of water and sand. This implies that,

Volume of water + Volume of sand = Total Volume

Using the value, we obtained, we get,

Volume of water + (Volume of water)/5 = Total Volume

\Rightarrow (6 * Volume of water)/5 = Total Volume

Plugging in the value of total volume, we get,

\Rightarrow (6 * Volume of water)/5 = 32000 cc

\Rightarrow Volume of water = \frac{32000*5}{6} cc

\Rightarrow Volume of water \approx 26,666.6667 cc

We know that,

1 cc = 0.001 liters

\Rightarrow 26,666.6667 cc = (26666.6667 * 0.001) liters

\Rightarrow 26,666.6667 cc \approx 26.667 liters

Thus, Volume of water in the tank is approximately 26.667 liters

Final Answer:

Volume of water in the tank (in liters) is approximately 26.667 liters

4 0
2 years ago
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