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Hatshy [7]
3 years ago
13

Find the area of the shaded region.

Mathematics
1 answer:
Ghella [55]3 years ago
4 0
This is a rhombus and in any rhombus, the diagonals intersects in the middle and they are perpendicular:
So all 4 triangles are right triangles and the sides are the hypotenuses.
1st) Calculate the sides: hypotenuse² = 3² + 4² = 25, and hypotenuse = 5

The area of each right triangle is (4 x 3)/2 = 6 units²
And the area of the 4 right triangles = 4 x 6 = 24 init²

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If p is a positive integer,then p(p+1)(p-1) is always divisible by?
ElenaW [278]

I am not quite sure what the choices are, but the answer to that problem is:

If p is a positive integer, then p(p+1)(p-1) is always divisible by “an even number”.

The explanation to this is that whatever number you input to that equation, the answer will always be an even number. This is due to the expression p(p+1)(p-1) which always result in a even product.

For example if p=3, then (p+1)(p-1) becomes (4)(2) giving you a even number.

And if for example if p=2, then (p+1)(p-1) becomes (3)(1) which gives an odd product, but we still have to multiply this with p therefore 2*3 = 6 which is even product. The outcome is always even number.

<span>Answer: From the choices, select the even number</span>

4 0
2 years ago
Help! Clear the fractions
I am Lyosha [343]

Answer:

x = - \frac{27}{20}

Step-by-step explanation:

Given

\frac{5}{6} x + 2 = \frac{7}{8}

Multiply through by 24 ( the LCM of 6 and 8 ) to clear the fractions

20x + 48 = 21 ( subtract 48 from both sides )

20x = - 27 ( divide both sides by 20 )

x = - \frac{27}{20}

6 0
2 years ago
The length of an edge of a cube is 2 inches. How many cubic inches are there in the volume of the cube ?
gizmo_the_mogwai [7]
A cube has equal edges, so 2*2*2 or 2^3 (2 cubed) v=8^3
4 0
3 years ago
Can someone help me find what to do
finlep [7]
An example would be:
Standard:12345678
Expanded: 10000000+2000000+300000+40000+5000+600+70+8
Word: twelve million three hundred forty-five thousand six hundred seventy-eight
5 0
3 years ago
Solve for x<br><br> A. 9<br> B. 10<br> C. 42<br> D. 12
Cloud [144]

Answer:

Option D, 12

Step-by-step explanation:

4x-8=80/2

or, 4x-8=40

or, 4x=48

or, x=12

4 0
2 years ago
Read 2 more answers
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