So we all doing homework before 11:59 haha

Mathematics

1 answer:

Masteriza [31]3 years ago

4 0

Answer: i finished at 9:00.

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Half of the product of two consecutive numbers is 105. Which equation can be used to solve for n, the smaller of the two numbers

Illusion [34]

Let the smaller number be n:
Therefore 1/2 * n(n+1) = 105
n^2 + n = 210
n^2 + n - 210 =0
Use your preferred method to solve the quadratic, I'll factorise this since this is easy to factorise.
Two numbers':
product gives -210
summation gives 1
Therefore (n+15)(n-14)=0
So the smaller number n is either -15 or 14.

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3 years ago

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Find the arc length of a partial circle

marusya05 [52]

Answer:

12.5664 units (rounded off to four decimal values)

Step-by-step explanation:

Arc length = 2 × π × r × $\frac{central-angle}{360}$

For our partial circle;

The radius (r) = 8 units

The central angle = 90°

Arc length = 2 × π × 8 × $\frac{90}{360}$ = 12.5663706144 units

Or 12.5664 units (rounded off to four decimal values)

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3 years ago

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The area of the base of the oblique pentagonal pyramid is 50 cm2 and the distance from the apex to the center of the pentagon is

kirza4 [7]

Answer:

$\text{Height is }6\sqrt2cm$

$\text{The volume is }100\sqrt2cm^3$

Step-by-step explanation:

Given the area of the base of the oblique pentagonal pyramid is $50 cm^2$ and the distance from the apex to the center of the pentagon is 6 cm. The measure of ∠ACB is 45°.