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Gala2k [10]
3 years ago
12

The diagram shows a polygon. Find the area, in cm², of the whole diagram. ​

Mathematics
2 answers:
NARA [144]3 years ago
8 0

Answer:

168 cm^{2}

Step-by-step explanation:

Consider the picture, break it into a rectangle with a triangle on top.  Use the following equation to find the total area of the figure.

A_{total} = A_{rectangle} + A_{triangle}

        = length×width + \frac{1}{2} bh

       =  (12cm)(10cm) + \frac{1}{2}(12cm)(8cm)

       = 120cm^{2} + 48cm^{2}

       = 168cm^{2}

Leto [7]3 years ago
4 0

Answer:

Bottom part = 10 * 12 = 120 square centimeters

Top part 8 * 6 = 48 square centimeters

Total Area = 168 square centimeters

Step-by-step explanation:

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The sum of three numbers is 104. The first number is 10 less than the second. The third number is 4 times the second. What are t
AnnyKZ [126]

Answer:

The numbers are 9, 19 and 76.

Step-by-step explanation:

Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.

The first number in terms of x:

x - 10

The second number in terms of x:

4x

If we add them all up, these 3 numbers in terms of x must be equal to 104, so:

x + (x - 10) + (4x) = 104 \\ x + x - 10 + 4x = 104 \\ 6x - 10 = 104 \\ 6x = 114 \\ x = 19

Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:

19 - 10 = 9

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3 years ago
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An oblique square prism is shown. Which expression represents the volume of the prism?
Furkat [3]

Answer:

C. x^2*(x-2)\text{ Cubic units}

Step-by-step explanation:

We have been given a diagram of an oblique prism and we are asked to choose the expression that represents the volume of the prism.

Since we know that an oblique prism is a prism in which the bases are parallel, but the faces are not directly one over the other.

The volume of an oblique prism is base area multiplied by the height.

\text{Volume of an oblique prism}=\text{Base area* Height of the prism}

We can see from our diagram that our prism has an square base as each side of base equals x units.

\text{Base area of prism}=x\text{ units}*x\text{ units}

\text{Base area of prism}=x^2\text{ units}^2

We can also see from our given diagram that it has a height of (x-2) units and slant height of (x+1) units.  

Since volume of oblique prism is base area times by the height (not slant height). So upon substituting the height and base area of our given prism in volume formula we will get,

\text{Volume of an oblique prism}=x^2\text{ units}^2*(x-2)\text{ units}

\text{Volume of an oblique prism}=x^2*(x-2)\text{ units}^3

Therefore, the volume of our given prism is x^2*(x-2)\text{ Cubic units} and option C is the correct choice.

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3 years ago
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What percent of 80 is 100? _____________________<br><br><br> help me asp
Oliga [24]

Equation:  ___is__. _%__       of.      100  =   100.          %    _______. _____       80.           100  Cross multiply the 100s = 1000 and divide by 80.    1000÷80 = 80.  Answer = 80%

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How many decimal places are in the product of the expression below?
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Answer:

36352.0

Step-by-step explanation:

For 256x142 = 36352.0

There is none actually

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