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3 years ago

What is the surface area of the rectangular pyramid below? 13,13,13

Mathematics

1 answer:

NARA [144]3 years ago

5 0

Answer:

1,014

Step-by-step explanation:

Assuming those 13’s represent the Length and Width of the sides of the prism, the equation would be

13x13x6 (6 sides)

=1014

You might be interested in

When you multiply 2/3 by a fraction less then one how does the product compare to the factor

Vilka [71]

Answer:

The product will always be less than the factor.

Step-by-step explanation:

When you multiply numbers less than 1, you get a smaller factor each time.

6 0

3 years ago

During the financial crisis of 2008, the price of a barrel of Brent crude oil fell a high of $140 per barrel to around $50 per b

Andrei [34K]

Answer:

decrease of 64.3%

Step-by-step explanation:

Percentage change can be calculated from ...

pct change = ((new value)/(original value) -1) × 100%

= (50/140 -1) × 100%

= (-9/14)×100% = -64 2/7% ≈ -64.3%

The price of crude fell about 64.3% in that period.

7 0

3 years ago

Please show work and thank youuu

Assoli18 [71]

Answer: $6\sqrt{3}$

======================================================

Explanation:

Method 1

We can use the pythagorean theorem to find x.

$a^2+b^2 = c^2\\\\6^2+x^2 = 12^2\\\\36+x^2 = 144\\\\x^2 = 144-36\\\\x^2 = 108\\\\x = \sqrt{108}\\\\x = \sqrt{36*3}\\\\x = \sqrt{36}*\sqrt{3}\\\\x = 6\sqrt{3}\\\\$

-----------------------------------

Method 2

Use the sine ratio to find x. You'll need a reference sheet or the unit circle, or simply memorize that sin(60) = sqrt(3)/2

$\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(60^{\circ}) = \frac{x}{12}\\\\\frac{\sqrt{3}}{2} = \frac{x}{12}\\\\x = 12*\frac{\sqrt{3}}{2}\\\\x = 6\sqrt{3}\\\\$

-----------------------------------

Method 3

Similar to the previous method, but we'll use tangent this time.

Use a reference sheet, unit circle, or memorize that tan(60) = sqrt(3)

$\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(60^{\circ}) = \frac{x}{6}\\\\\sqrt{3} = \frac{x}{6}\\\\x = 6\sqrt{3}\\\\$

-----------------------------------

Method 4

This is a 30-60-90 triangle. In other words, the angles are 30 degrees, 60 degrees, and 90 degrees.

Because of this special type of triangle, we know that the long leg is exactly sqrt(3) times that of the short leg.

$\text{long leg} = (\text{short leg})*\sqrt{3}\\\\x = 6\sqrt{3}\\\\$

The short leg is always opposite the smallest angle (30 degrees).

3 0

2 years ago

What is 874 divided by 23

docker41 [41]

Answer:

874 Divided by 23 = 38.

Step-by-step explanation:

8 0

3 years ago

I need help finding the answer to this:

anygoal [31]

Answer:

He will earn $6 in interest in 9 months.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$