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Schach [20]
2 years ago
13

How can the area of this triangle be determined by forming a rectangle? Select from the drop-down menus to correctly complete th

e statements. Copy and rotate the triangle and place it next to the existing triangle to form a rectangle. The length of the rectangle is Choose. Units. The width of the rectangle is Choose. Units. The area of the rectangle is Choose. Square units. The area of the triangle is half the area of the rectangle, so the area of the triangle is Choose. Square units.
Mathematics
1 answer:
Nuetrik [128]2 years ago
8 0

The area of the triangle can be found by copying the triangle and putting the bases together such that it forms the diagonals of the triangle.

<h3>What is the area of the triangle?</h3>

The area of the triangle is half the product of the height of the triangle and the base of the triangle.

As we know that the area of a rectangle is double the area of a triangle,

therefore, in order to calculate the area of a triangle we need to convert it to a rectangle and then divide the area of the rectangle by 2.

Also, we know that the diagonal of a rectangle divides it into two equal triangles, therefore, we will put the triangle along the diagonal of the base.

Thus, to find the area of the triangle we will copy the triangle and put the base of the together such that it forms the diagonals of the triangle.

Since the triangles are put on each other along the base, therefore, the height(h) of the triangle will be the length of the rectangle, and the breadth of the triangle will be equal to the base of the triangle(b).

Learn more about Area of Triangle:

brainly.com/question/15442893

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Find -x + 10 less than 0.<br><br> 0<br> -x + 10<br> x - 10<br> I kinda don't get it, please explain?
PtichkaEL [24]
-x + 10 < 0
-x < -10
x > 10
3 0
3 years ago
How do I determine if a limit exist considering how it looks on a graph? Can I determine if a limit exists solely from the graph
Allushta [10]

Answer: See below

Step-by-step explanation:

1. At x=1, the limit does not exist. If you see an open circle on the graph like you do here, you know that the function is discontinuous. This graph actually shows a jump discontinuity at x=1.

2.  You can determine if a limit exists by solely looking at the graph. Unfortunately in this case, f(1)=1 and \lim_{x \to \ 1^-} f(x) are not equal to each other. Therefore, the limit does not exist.

7 0
2 years ago
Of all rectangles with a perimeter of 1313​, which one has the maximum​ area? (give the​ dimensions.) let a be the area of the r
saw5 [17]

Let the length be l.

Formula of perimeter is P= 2(length +width )

1313 =2 (l+w)

l = \frac{1313}{2}-w

And the formula of area of rectangle = length times width .

A = l*w

A= (\frac{1313}{2}-w )*w

A = \frac{1313w}{2} -w^2

And that's the required objective function .

The equation represents parabola and a parabola is maximum at its vertex .

And the formula of vertex is

w = -\frac{b}{2a} =-\frac{1313}{4}

Substituting this value of w in the formula of area, we will get

A= \frac{1313*1313}{8} -(\frac{1313}{4})^2

Area= \frac{1723969}{16}=107748 \ square \ units .

8 0
3 years ago
Mary has a circular fountain in her garden she wants to put a statue in the middle of the fountain . The diameter of the fountai
telo118 [61]
The area of the fountain would be 200.96 meters squared.
The formula for finding the area of a circle is:
Area= \pi * Radius^2
Therefore, you would multiply 8 (The radius) by itself to get 64. Then, you would multiply 64 by pi (approximately 3.14) to get 200.96. 
3 0
3 years ago
Read 2 more answers
Can anyone figure this out ??
Nookie1986 [14]
ANSWER:

The solution for this problem is displayed in the attached image. I have made the numbers ( answers ) which I inputed into the table bold and red.

The method I used to solve this problem was trial and error.

To check the answers, you must simply input the numbers with each of the symbols into the equations. If the left-hand side of the equation is equivalent to the right-hand side of the equation, the equation is correct.

COLUMNS -

Column No. 1:
5 + 4 - 7 = 2
9 - 7 = 2
2 = 2
Therefore, this equation is correct.

Column No. 2:
9 ÷ 1 + 6 = 15
9 + 6 = 15
15 = 15
Therefore, this equation is correct.

Column No. 3:
3 × 8 ÷ 2 = 12
24 ÷ 2 = 12
12 = 12
Therefore, this equation is correct.

ROWS -

Row No. 1:
5 × 9 ÷ 3 = 15
45 ÷ 3 = 15
15 = 15
Therefore, this equation is correct.

Row No. 2:
4 - 1 × 8 = 24
3 × 8 = 24
24 = 24
Therefore, this equation is correct.

Row No. 3:
7 - 6 + 2 = 3
1 + 2 = 3
3 = 3
Therefore, this equation is correct.

Since all equations in this problem are correct, this means that all the numbers ( answers ) must also be correct.

5 0
3 years ago
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