This is how dora subtracts 73-26. 73-3=70. 70-?=50. ?-?=? fill in the blanks to solve

What is the area of the triangle in the diagram?

Schach [20]

Answer:

$\frac{(a-b)^2+b^2}{a^2}$

which agrees with the first choice (A) in your list of possible answers

Step-by-step explanation:

Notice that the area of the outer square is given by the square of it side $(a)$ .Then the outer area is given by: $a^2$

Now, the inner square's area we calculate by subtracting from the outer area four equal right angle triangles (those shaded in grey in the figure provided). Each of such right angle triangles have an area given by the general formula of a triangle's area:

$Area_{triangle}= \frac{base\,*\,height}{2} =\frac{(a-b)\,b}{2} =\frac{ab-b^2}{2}$

Therefore the internal square's area is:

$a^2-4\frac{ab-b^2}{2} =a^2-2ab+2b^2$

And then the quotient of this are over the larger square area becomes:

$\frac{a^2-2ab+2b^2}{a^2} =\frac{a^2-2ab+b^2+b^2}{a^2}=\frac{(a-b)^2+b^2}{a^2}$

4 0

3 years ago

3 + (5 + 7) Use the commutative property of operations to reverse the numbers in the expression. Use the associative property of

Fantom [35]

Answer:

commutative property:

A + B = B + A

So we have

3 + (5 + 7) = (5 + 7) + 3

Now distributive means that:

A + (B + C) = (A + B) + C

So (5 + 7) + 3 = 5 + (7 + 3)

now the equation is easier to solve, because 7 + 3 = 10

5 + (7 + 3) = 5 + 10 = 15

3 0

3 years ago

Read 2 more answers

A pair of tow trucks are pulling on a trailer that is stuck

Varvara68 [4.7K]

Answer:

R=10,244 Lb

Step-by-step explanation:

In order to solve this problem, we can start by drawing the situation. (See attached picture).

We can look at the forces applied by the trucks as vectors, so in this case, in order to find the resultant force, we can add the two vectors. You can do so by drawing one force after the other and join the start of the first force with the end of the second force to form a triangle. The missing side will be the resultant force. In that triangle I drew there, the inner angle will be found by subtracting 180°-110°=70°

In this case we can find the resultant force by using the law of cosines:

$A^{2}=B^{2}+C^{2}-2AB cos \alpha$

so we can use the data given by the problem:

$R^{2}=T_{1}^{2}+T_{2}^{2}-2T_{1}T_{2} cos \alpha$

so we can solve this for R, so we get:

$R=\sqrt{T_{1}^{2}+T_{2}^{2}-2T_{1}T_{2} cos \alpha}$

now we can substitute:

$R=\sqrt{(10,000Lb)^{2}+(7,500Lb)^{2}-2(10,000Lb)(7,500Lb) cos (70^{0})}$

which yields:

R=10,244Lb

8 0

3 years ago

Jane will spin the spinner below 30 times. How many times would Jane expect it to land on an even number? the numbers on the spi

Sedbober [7]

Answer:

below 15 times

Step-by-step explanation:

If the numbers on the spinner are 1, 2, 3, 4, 5, 6 (six numbers) the even numbers are 2, 4, 6 ( three numbers) than 3 out of 6 numbers on the spinner are even.

If Jane will spin the spinner below 30 times the is expected that less than half of the time 30/2 = 15 times will be an even number.

7 0

3 years ago

8xy= 2(2x + y) solve for y

STatiana [176]

Answer: $\displaystyle y= \frac{2\text{x}}{4\text{x} - 1}$

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Work Shown:

$8\text{x}y= 2(2\text{x} + y)\\\\8\text{x}y= 4\text{x} + 2y\\\\8\text{x}y - 2y= 4\text{x}\\\\y(8\text{x} - 2)= 4\text{x}\\\\y= \frac{4\text{x}}{8\text{x} - 2}\\\\y= \frac{2*2\text{x}}{2(4\text{x} - 1)}\\\\y= \frac{2\text{x}}{4\text{x} - 1}\\\\$

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Explanation:

The idea is to first get all the y terms to one side. I did this by subtracting 2y from both sides in the third step.

Then factor out y and divide both sides by (8x-2)

Afterward there's the optional steps of simplifying (as shown in the final two steps).

5 0

2 years ago