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love history [14]

2 years ago

15

Find the area of the triangle. be sure to include the correct unit in your answer.

1 answer:

Lera25 [3.4K]2 years ago

3 0

Answer:

32

Step-by-step explanation:

base multiplied by the height divided by 2

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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT

Nat2105 [25]

Answer:

m∠1 = 67

Step-by-step explanation:

8 0

2 years ago

amber deposits $870 in an account that has a simple interest rate of 8% per year. After 5 years, how much interest will Amber ha

charle [14.2K]

For simple interest, the formula is I = PRT, where I = interest, P = principal borrowed or deposited, R = rate as a decimal, and T = time in years.

Your information:
I = (870)(0.08)(5)
I = 348

Add the interest to the principal for your total balance

348 + 870 = $1218 will be the total balance in the account.

4 0

2 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Readme [11.4K]

Answer:

3/11

Step-by-step explanation:

Divide both the numerator and denominator by 2.

$\dfrac{6}{22}=\dfrac{2*3}{2*11}=\dfrac{3}{11}$

8 0

3 years ago

The polynomial x^2+3x-1 is a factor of x^4+3x^3-2x^2-3x+1 true or false?

pashok25 [27]

Answer:

Yes, it is true that $x^2+3x-1$ is a factor of $x^4+3x^3-2x^2-3x+1$ .

Step-by-step explanation:

Let us try to factorize $x^4+3x^3-2x^2-3x+1$

$x^4+3x^3-2x^2-3x+1\\\Rightarrow x^4-2x^2+1-3x+3x^3$

Let us try to make a whole square of the given terms:

$\Rightarrow (x^2)^2-2\times x^2 \times 1+1^2+3x^3-3x\\\Rightarrow (x^2-1)^2+3x^3-3x\\$

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

Formula used above:

$a^{2} -2 \times a \times b +b^{2} = (a-b)^2$

In the above equation, we had $a = x, b = 1$ .

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

Further solving the above equation, taking $3x$ common out of $3x^3-3x$

$\Rightarrow (x^2-1)^2+3x(x^2-1)\\$

Taking $(x^{2} -1)$ common out of the above term:

$\Rightarrow (x^2-1)((x^2-1)+3x)\\\Rightarrow (x^2-1)(x^2+3x-1)$

So, the two factors are $(x^2-1)\ and\ (x^2+3x-1)$ .

$\therefore$ The statement that $x^2+3x-1$ is a factor of $x^4+3x^3-2x^2-3x+1$ is <em>True.</em>

7 0

2 years ago

Find the inverse of the function.

asambeis [7]

Answer:

A) $f^{-1}(n)= (n+2)^3$

Step-by-step explanation:

$f(n) = \sqrt[3]{n} -2$

$y = \sqrt[3]{n} -2$

$y = n^{1/3}-2$

$n = y^{1/3} -2$

$n + 2 = y^{1/3}$

$y = (n + 2) ^3$

$f^{-1}(n) = (n + 2)^3$

Hope this helps!

7 0

3 years ago

Read 2 more answers