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2 years ago

Find the area. Simplify your answer.

Mathematics

1 answer:

Verizon [17]2 years ago

3 0

Answer: 1.5x²

Step-by-step explanation:

Rule: To find the area of a triangle, multiply the base times one side, then divide the product by 2.

Step 1: Find the length of the left side using the pythagorean theorem.

a^2 + b^2 = c^2.

x^2 + 2x^2 = 3x^2

√3x² = 3x

Step 2: Multiply the base times the hypotenuse.

x * 3x = 3x²

Step 3: Divide by two

3x²/2 = 1.5x²

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A) Write the sequence of natural numbers which are multiplied by 3 ?

Volgvan

Answer:

a) 3, 6, 9, 12, 15,..., $3\cdot n$ , b) 4, 7, 10, 13, 16,..., $3\cdot n +1$ , c) Both sequences are arithmetic.

Step-by-step explanation:

a) The sequence of natural numbers which are multiplied by 3 are represented by the function $f(n) = 3\cdot n$ , $n\in \mathbb{N}$ . Let see the first five elements of the sequence: 3, 6, 9, 12, 15,...

b) The sequence of natural numbers which are multiplied by 3 and added to 1 is represented by the function $f(n) = 3\cdot n + 1$ , $n\in \mathbb{N}$ . Let see the first five elements of the sequence: 4, 7, 10, 13, 16,...

c) Both sequences since differences between consecutive elements is constant. Let prove this statement:

(i) $f(n) = 3\cdot n$

$\Delta f = f(n+1) -f(n)$

$\Delta f = 3\cdot (n+1) -3\cdot n$

$\Delta f = 3$

(ii) $f(n) = 3\cdot n +1$

$\Delta f = f(n+1)-f(n)$

$\Delta f = [3\cdot (n+1)+1]-(3\cdot n+1)$

$\Delta f = 3$

Both sequences are arithmetic.

8 0

2 years ago

Help please. need serious

iris [78.8K]

Ertex angle:: x degrees
<span>base angle: x+15

</span>

5 0

2 years ago

Calvin’s credit card computes finance charges using the daily balance method. his card has a billing cycle of 30 days and an apr

Alenkasestr [34]

The amount of calvin’s starting balance for the next month will be C. $625.91.

<h3>How to calculate the amount?</h3>

From the information given, the monthly percentage rate will be:

= 14.75/12

= 1.22%

Therefore, the amount of calvin’s starting balance for the next month will be $625.91.

In conclusion, the correct option is C.

Learn more about amount on:

brainly.com/question/17785784

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5 0

2 years ago

From the statement select the related given statement. If B is between A and C, then AB + BC = AC

Bogdan [553]

<span>From the statement select the related given statement. If B is between A and C, then AB + BC = AC

answer
</span><span>C.) Point B is between points A and C.</span>

7 0

3 years ago

Read 2 more answers

What is the total surface area of this rectangular pyramid?

umka2103 [35]

Answer:

225 square feet

Step-by-step explanation:

the base of the pyramid would be 76 ft², since 12*6=72. Then you get the surface area of the sides. 2 of the sides would be 48 ft², since (12*8)/2=48. The other 2 sides would be 28.5 ft², since (6*9.5)/2-28.5. Then you just add the surface areas of all the sides; 76+48+48+28.5+28.5 to get 225.

Hope this helps! :)

4 0

2 years ago

Read 2 more answers

Find the area. Simplify your answer.​

Find the area. Simplify your answer.