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sergey [27]
3 years ago
15

Please help me out please

Mathematics
1 answer:
Elanso [62]3 years ago
7 0

Answer:

400 units³

Step-by-step explanation:

The volume (V) of the square pyramid is

V = \frac{1}{3} area of base × height (h)

where h is the perpendicular height.

Consider the right triangle formed by a segment from the vertex to the midpoint of the base and the slant height ( the hypotenuse )

Using Pythagoras' identity on the right triangle

h² + 5² = 13²

h² + 25 = 169 ( subtract 25 from both sides )

h² = 144 ( take the square root of both sides )

h = \sqrt{144} = 12

Area of square base = 10² = 100, hence

V = \frac{1}{3} × 100 × 12 = 4 × 100 = 400

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What is the measure of the other acute angle ?
Vaselesa [24]

Answer:

62^{o}

Step-by-step explanation:

All the angles in a triangle add up to 180^{o}

Every right angle triangle has a right angle in it which is 90^{o}

So to find the remaining angle, you do 180^{o} - 90^{o} - 28^{o} = 62^{o}

7 0
3 years ago
Dr. Hall files 320 insurance claims every month.5% if those claims are rejected, how many claims are rejected? how many are acce
Drupady [299]
We are asked to find 5% od 320, because we know that 5% of 320 insurances are rejected.
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8 0
3 years ago
What is the solution to the system of equations?
elixir [45]

Answer:

No solution

Step-by-step explanation:

-3x-4y-3z=-7\\2x-6y+2z=3\\5x-2y+5z=9\\\\

Lets consider the equation 2.

Here we multiply the LHS and RHS with (-1).

-3x-4y-3z=-7\\-(2x-6y+2z)=-3\\5x-2y+5z=9\\\\

Hence,

-3x-4y-3z=-7\\-2x+6y-2z=-3\\5x-2y+5z=9\\\\

When we add the equations we get,

0x+0y+0z=-10+9\\Hence,\\0=-1

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6 0
3 years ago
Last year, Edward spent a total of $626.14 on his power bill. Rounding the total bill to the nearest tens place, approximate how
zlopas [31]

Answer:

He spent around  $ 52.17  in each month.

Step-by-step explanation:

Last year the power bill price = $ 626.14 ≈  $ 626

We know that in a year 12 months. so power bill of each month in last year is calculated as follows

Power \ bill \ of \ each \ month = \frac{Total \ bill \ of  \ the \ year}{12}

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Therefore he spent around  $ 52.17  in each month.

7 0
3 years ago
Question is in the picture
ANTONII [103]

Answer:

She forgot to flip the inequality sign when dividing both sides by -4

8 0
3 years ago
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