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Minchanka [31]
3 years ago
6

Calculate the area of each triangle using two different methods

Mathematics
1 answer:
timurjin [86]3 years ago
4 0
The area of a triangle is 1/2 bh
so to find the area of the larger triangle do the following calculation:
1/2 time 12 time 7. that will give you 42 ft squared.  that is the larger triangle. 
the next way to find the area i will show you is:

pretend that the the triangle is inside of a rectangle. now you have 4 triangles. you know that the base of the rectangle is 15 ft anf the height is 7. now take the smaller triangle and it has its rectangle base 3 and height 7. multiply to get 21 feet squared. divide by 2 since there are 2 triangles in the small rectangle. 10.5 feet squared
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What is 48,100,000,000,000 in scientific notation? 4.81×10−11 4.81×10−13 4.81×1011 4.81×1013
SSSSS [86.1K]
Given number is 4,8100,000,000,000. 

In this number of zero is 11. So we can write it as 481 * 10^{11}

But for scientific notation we will enter decimal after two place in reverse direction.For this we will also multiply number by 10^2.

So number will be 4.81 * 10^{11} *10^2 = 4.81 * 10^{13}

So fourth option is correct.


4 0
3 years ago
Read 2 more answers
4. Solve the equation.
shusha [124]

Answer:

=1187n

Step-by-step explanation:

5n+1182n=?

=1187n

6 0
2 years ago
The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions
Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}

The quadratic equation can now be solve using factorization method:

\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\  \\ Width=x=5\text{ }ft \end{gathered}

7 0
1 year ago
Some rectangles are not parallelograms
VARVARA [1.3K]

Answer:

I'm not sure what your asking, but, no, all rectangles are parallelograms.

I found this over the internet, and I hope it helps you understand why a rectangle is always a parallelogram, but a parallelogram is not always a rectangle:

It is true that every rectangle is a parallelogram, but it is not true that every parallelogram is not a rectangle. For instance, take a square. It's a parallelogram — it is a quadrilateral with two pairs of parallel faces. But it is also a rectangle — it is a quadrilateral with four right angles.

5 0
3 years ago
In 1935, there were 15,295 banks in the United States. In 2003 there were 9,182 banks. What is the percent of the change? Is it
Sati [7]
If it goes from a higher number to a lower number it is a decrease.

(15,295 - 9182) / 15295....x 100
6113 / 15295 = 0.399....x 100 = 39.9% decrease

5 0
3 years ago
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