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2 years ago

May somebody help me please and thank you.

Mathematics

1 answer:

kiruha [24]2 years ago

5 0

Here is your answer

C. 14x+2

REASON:

Given length of sides are:

3x+2, 6x and 5x

To find perimeter, add the length of three sides, i.e.

(3x+2)+6x+5x

=3x+2+6x+5x

...bring like terms together

=3x+6x+5x +2

=14x+2

HOPE IT IS USEFUL

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Help? im confused plss! Find the area of the regular polygon with the given radius or apothem

Snezhnost [94]

Answer:

50 cm²

Step-by-step explanation:

Given that the regular polygon is a square, there are multiple ways you can jump directly to the answer. Perhaps the simplest is to use the formula for the area of a rhombus:

A = 1/2(d1)(d2)

where d1 and d2 are the lengths of the diagonals. Here, we see that half the diagonal is 5 cm, so the area is ...

A = (1/2)(10 cm)(10 cm) = 50 cm² . . . . area of the polygon

Alternate solution

If you want to use the radius and the number of sides in a formula, you can consider the area of each triangle formed by radii and a side. That triangle has area ...

A = 1/2r²sin(α)

where r is the radius and α is the central angle. For an n-sided polygon, the area is the sum of n of these triangles, and the central angle is 360°/n. Then the polygon area is ...

A = n/2·r²·sin(360°/n)

For n = 4 and r = 5 cm, the area is ...

A = (4/2)(5 cm)²(sin(360°/4)) = 2(5 cm)²(1) = 50 cm² . . . . area of square

_____

Additional comment

The formula is somewhat different if you start with the length of the apothem. One way to find the area is using the above formula and the relation between the radius and apothem:

r = a·sec(180°/n)

Another formula uses the apothem directly:

A = n·a²·tan(180°/n)

8 0

2 years ago

Look at the image below plz correct answers Surface area of cones 15 points

monitta

Answer:

$A\approx 282.7\ m^2$

Step-by-step explanation:

1. Approach

The easiest method to solve this problem is to use the Pythagorean theorem to find the height of the cone. Then one can substitute the values given and found on the cone into the formula to find the surface area in order to solve for the surface area of the given cone.

2. Height of the cone

Imagine drawing a line from the tip of the cone down to the center of the base. This line will form a right angle with the base, thus, a right triangle is formed between the line, the radius (the distance from the center to the circumference or outer edge on a circle) of the base, and the incline of the cone. The Pythagorean theorem is a formula that relates the sides of a right triangle. This formula is as follows:

$a^2+b^2=c^2$

Where (a) and (b) are the legs or the sides adjacent to the right angle of the right triangle, and (c) is the hypotenuse or the side opposite the right angle of the right triangle. Substitute the given values into the formula and solve for the unknown, or rather the height of the cone:

$a^2+b^2=c^2$

$a^2+5^2=13^2$

Simplify,

$a^2+5^2=13^2$

$a^2+25=169$

Inverse operations,

$a^2+25=169$

$a^2=144$

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$h=12$

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The following formula can be used to find the surface area of a cone:

$A=\pi r(r+\sqrt{h^2+r^2})$

Where ( $\pi$ ) represents the numerical value (3.1415...), (r) represents the radius of the base, and (h) represents the height of the cone. Substitute the given values into the formula and solve for the surface area:

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Simplify,

$A=\pi 5(5+\sqrt{12^2+5^2})$

$A=\pi 5(5+\sqrt{144+25})$

$A=\pi 5(5+\sqrt{169})$

$A=\pi 5(5+13)$

$A=\pi 5(18)$

$A=\pi 90$

$A\approx 282.743$

3 0

3 years ago

How is an invesment bank different from a commercial bank

igomit [66]

A commercial bank is a bank whose main business is deposit's and making loans.
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Hope this helped :)

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3 years ago

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RoseWind [281]

Answer:

Examine the mathematical expression you're working on. For example, suppose you're given 5x + 3. There are two terms here, 5x and 3. Look for the variable. In this case, x is the variable. In your case its c

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3 years ago

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Aneli [31]

Answer:

The volume is 2140.98 inches³

Step-by-step explanation

The basketballs are spherical, and it is known that the volume of a sphere is

$V = \frac{4}{3}\pi r^{3}$

Where V is the volume of the ball and r is its radius

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2 years ago

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