How do i find the unknown side length of a triangle?

Answers

Answer 1

Answer:
By using Pythagoreans Theorem: a^2 + b^2 = c^2

Answer 2

Answer: several ways like somebody said below you can use use pythag assuming u know the other 2 side lengths w/ a^2+b^2=c^2
however if you do not know the other two side lengths you must use trigonometry and sohcahtoa
sin(angle)= the side length opposite the angle to be referred to as O
divided by the longest side length (hypotenuse)or the angle directly across from the 90 degree angle to be referred to as H
cos(angle) the side length adjacent (next to) the known angle to be referred to as A/H
and finally tan(angle)O/A
if you are still having trouble with this id suggest youtubing "get triggy with it" decent video that explains trig pretty well as well as how to find a missing angle rather than a side length
hope this helps -j

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What to numbers multiply to -100 but add up to -21?

Answers

-25 and 4

-25(4)=-100
-25+4=-21

The temperature is 18 farenheit at 7am. By 2pm,the temperature has gotten warmer by 28 degrees. What is the temperature at 2pm?

Answers

Answer: 46 degrees

Step-by-step explanation:

To find the temperature at 2 p.m., we can add the increase of 28 degrees to the initial temperature of 18 degrees.

18 + 28 = 46

Therefore, the temperature at 2 p.m. is 46 degrees Fahrenheit.

Happy to help; have a great day! If you liked my answer, please give me Brainliest :)

Why was Thomas Paine’s pamphlet so popular with the colonists?aThe goals were clear, and it used common language.

bIt proved that the colonists could rely on Britain.

cIt showed he was a highly educated man with lofty ideals.

dIt set up a government with multiple branches and balances.

Answers

Hello!

Paine's pamphlet was write in a persuasive prose and common language, to show to the colonists that they could fight for a best government.

Letter a)

hugs!

Answer:

A) Paine's pamphlet was write in a persuasive prose and common language, to show to the colonists that they could fight for a best government.

What is the difference in simplest form? (n^2+10n+21/n^2+3n-28)-(3n/n-4)

Answers

Answer:

$(3-2n)/(n-4)$

Step-by-step explanation:

We have been given the expression

$(n^2+10n+21)/(n^2+3n-28)-(3n)/(n-4)$

Let us write the numerator and denominator of first expression in factored form using AC method.

$n^2+10n+21\n=n^2+7n+3n+21\nn(n+7)+3(n+7)\n(n+7)(n+3)$

And the factors of denominator is

$n^2+3n-28\n=n^2+7n-4n-28\nn(n+7)-4(n+7)\n(n+7)(n-4)$

Therefore, the expression becomes

$((n+7)(n+3))/((n+7)(n-4))-(3n)/(n-4)\n\n\text{Cancel the common terms}\n\n(n+3)/(n-4)-(3n)/(n-4)\n\n\text{Denominator of both rational expression is same}\n\text{hence, we can directly add the numerators}\n\n(n+3-3n)/(n-4)\n\n(3-2n)/(n-4)$

Thus, the simplified form is $(3-2n)/(n-4)$

The answer is $(-2n+3)/(n-4)$

The solid surface area is equal to the solid volume. Find the value of x? The measurements of the rectangular prism is 9 inches long and 4 inches wide. Height is not listed. socratic.org

Answers

Answer:

$x=7.2$

Step-by-step explanation:

Let x represent height of the prism.

We know that volume of rectangular is equal to product of its height, width and length.

$\text{Surface area of rectangular prism}=2(wl+lh+hw)$ , where w, h and l represents width, length and height respectively.

We have been given that the surface area of rectangular prism is equal to the volume of the prism. So we can set an equation as:

$lwh=2(wl+lh+hw)$

We are also told that the measurements of the rectangular prism is 9 inches long and 4 inches wide. Upon substituting these values in above equation, we will get:

$9\cdot 4\cdot x=2(4\cdot 9+9\cdot x+x\cdot 4)$

Let us solve for x.

$36x=2(36+9x+4x)$

$36x=2(36+13x)$

$36x=72+26x$

$36x-26x=72+26x-26x$

$10x=72$

$x=(72)/(10)\n\nx=7.2$

Therefore, the value of x is 7.2 inches.

If 2x^2 + 6x = 36, what are the possible values of x ?

Answers

The possible values of $x$ for $2\cdot x^(2)+6\cdot x = 36$ are $x_(1) = 3$ and $x_(2) = -6$ .

The expression $2\cdot x^(2)+6\cdot x = 36$ is equivalent to the expression $2\cdot x^(2)+6\cdot x -36 = 0$ , which represents a second orderpolynomial, that is, a polynomial of the form:

$y = a\cdot x^(2)+b\cdot x + c$ (1)

Where $a,\,b,\,c$ are coefficients.

The possible values of x represents all possible roots of x, which are found analytically by the quadratic formula:

$x = \frac{-b\pm \sqrt{b^(2)-4\cdot a\cdot c}}{2\cdot a}$ (2)

If we know that $a = 2$ , $b = 6$ and $c = -36$ , then all possible values of $x$ are, respectively:

$x_(1) = 3$ , $x_(2) = -6$

The possible values of $x$ for $2\cdot x^(2)+6\cdot x = 36$ are $x_(1) = 3$ and $x_(2) = -6$ .

We kindly invite to check this question on second order polynomials: brainly.com/question/24356198

Answer:

f(x) = 2(x + 3)(x - 6)

Step-by-step explanation:

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Which expression represents y⁴ - 36 in simplest factored form?A. ( y² + 4)( y² - 9) B. ( y² + 4)( y - 3)( y + 3) C. ( y² + 6)( y² - 6) D. ( y⁴ - 36)( y +1)

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