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Sphinxa [80]
3 years ago
11

Factor 27 + d^ 3completely.

Mathematics
1 answer:
Sedaia [141]3 years ago
7 0

Answer:

(3+d)(9-3d+d^2)

Step-by-step explanation:

a^3 + b^3 = (a+b)(a^2-ab+b^2)

a= 3

b= d

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ANSWER ASAP!! Find the area of a triangle with legs that are: 12 m, 15 m, and 9 m.
Setler79 [48]

Answer:

<h2>54m²</h2>

Step-by-step explanation:

<h3>METHOD 1:</h3>

You can use the Heron's formula:

A=\sqrt{p(p-a)(p-b)(p-c)}

where

<em>p</em><em> - half of perimeter</em>

<em>a, b, c</em><em> - lengths of sides</em>

We have

a=12m;\ b=15m;\ c=9m

Calculate:

p=\dfrac{12+15+9}{2}=\dfrac{36}{2}=18\ (m)\\\\A=\sqrt{18(18-12)+(18-15)(18-9)}\\\\A=\sqrt{(18)(6)(3)(9)}\\\\A=\sqrt{2916}\\\\A=54\ (m^2)

<h3>METHOD 2:</h3>

Let's check that it is not a right triangle.

If the sum of the squares of the two shorter sides is equal to the square of the longest side, then this triangle is rectangular.

We have

9m < 12m

Check:

9^2+12^2=81+144=225\\15^2=225

This is a right trianglr wherew 9m and 12m are legs and 15m is a hypotenuse.

The formula of an area of a right triangle is:

A=\dfrac{ab}{2}

<em>a, b</em><em> - legs</em>

Substitute:

A=\dfrac{(9)(12)}{2}=\dfrac{108}{2}=54\ (m^2)

6 0
3 years ago
43.55 as a mixed number
Fittoniya [83]

Answer:

Improper fraction =871/20

Mixed fraction =43 11/20

Step-by-step explanation:

5 0
3 years ago
The slope of curve zz at point c is approximately
lana66690 [7]
I need something else to answer.... like a picture or choices
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3 years ago
Holly missed 8 of 185 school days this year. Approximately what percent of school days was Holly in attendance?
natulia [17]
8/185 = 4.3 % 
That is the number of days she missed so she was in attendance

100-4 = 96%
3 0
3 years ago
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LaSanda bought 20 shares of stock for $175. She sold the stock for a total profit of $25. What was the selling price of each sha
podryga [215]
So if she bought 20 share of stock for $175 that means that she paid $8.75 for each stock so if she made $25 you add then you divide

175÷20 = $8.75
175+$25=$200 she sold them for
$200 ÷ 20= $10
4 0
3 years ago
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