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3 years ago

5 to the 2nd power

Mathematics

1 answer:

lana [24]3 years ago

6 0

Answer:

Step-by-step explanation:

5 is the base

2 is the exponent

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What is the probability of getting 6 as a product explanation and calculation

Mrrafil [7]

For an individual die roll, the probability of rolling 6 is \dfrac{1}{6}

Effectively, this problem is asking for P(\text{1st roll is 6}\cap\text{2nd roll is 6})P(1st roll is 6∩2nd roll is 6).

Using the rule of product, this is:

\dfrac{1}{6}\times\dfrac{1}{6}=\dfrac{1}{36}

8 0

2 years ago

What is the solution to the equation -5(5-(a+1))=9-(5-(2a-3))?

Delicious77 [7]

A= -3 should be the answer

8 0

3 years ago

The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

WITCHER [35]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

The picture of the question in the attached figure

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

$r=12\ cm\\b=12\ cm\\h=12\ cm$

substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

Find the perimeter

$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

4 0

4 years ago

What is the measure of the angle? А 30° В. 60° с. 90° D. 120 E. 150

Vsevolod [243]

I think the answer is B

4 0

3 years ago

PLEASE HELP!!

tankabanditka [31]

Answer:

A and D

Step-by-step explanation:

4 0

3 years ago