All categories

2 years ago

Find the value of x in the triangle shown below. Choose 1 answer:

Mathematics

1 answer:

Ad libitum [116K]2 years ago

7 0

For the triangle, x is 12 units long.

Step-by-step explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The hypotenuse is the side which is the longest in the triangle and is always opposite the right angle.

In the given triangle, the hypotenuse is 13 units long. The other two sides measure 5 units and x units.

Step 2:

By substituting the known values, we get

$13^{2} = 5^{2} + x^{2} .$

$x^{2} = 169 - 25 = 144.$

$x = 12.$

Rounding this off to the nearest hundred, we get that x is 12 units long.

You might be interested in

F(x) = (3x + 6) (x - 3)²

Sever21 [200]

f(x)= 3x³ - 18x +9

Algebraic identities are algebraic equations that are true regardless of the value of each variable. Additionally, they are employed in the factorization of polynomials. Algebraic identities are employed in this manner for the computation of algebraic expressions and the solution of various polynomials.

Identity I: (a + b)² = a² + 2ab + b²

Identity II: (a – b)² = a² – 2ab + b²

Identity III: a² – b²= (a + b)(a – b)

Identity IV: (x + a)(x + b) = x² + (a + b) x + ab

Identity V: (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

Identity VI: (a + b)³ = a³ + b³ + 3ab (a + b)

Identity VII: (a – b)³ = a³ – b³ – 3ab (a – b)

Identity VIII: a³ + b³ + c³ – 3abc = (a + b + c)(a² + b² + c² – ab – bc – ca)

f(x) = (3x + 6) (x - 3)²

= ( 3x + 6) ( x - 3 )²

= ( 3x + 6)( x² - 6x + 9)

= 3x( x² - 6x + 9) + 6( x² - 6x + 9)

= 3x³ - 6x² + 18x + 6x² - 36x +9

= 3x³ - 18x +9

To learn more about algebraic expansions, refer to brainly.com/question/4344214

#SPJ9

5 0

1 year ago

For the following demand equation compute the elasticity of demand and determine whether the demand is elastic, unitary, or inel

adelina 88 [10]

Answer:

Demand is inelastic at p = 9 and therefore revenue will increase with

an increase in price.

Step-by-step explanation:

Given a demand function that gives <em>q</em> in terms of <em>p</em>, the elasticity of demand is

$E=|\frac{p}{q}\cdot \frac{dq}{dp} |$

If E < 1, we say demand is inelastic. In this case, raising prices increases revenue.
If E > 1, we say demand is elastic. In this case, raising prices decreases revenue.
If E = 1, we say demand is unitary.

We have the following demand equation $D(p)=-\frac{3}{4}p+29$ ; p = 9

Applying the above definition of elasticity of demand we get:

$E(p)=\frac{p}{q}\cdot \frac{dq}{dp}$

where

p = 9
q = $-\frac{3}{4}p+29$
$\frac{dq}{dp}=\frac{d}{dp}(-\frac{3}{4}p+29)$

$\frac{d}{dp}\left(-\frac{3}{4}p+29\right)=-\frac{d}{dp}\left(\frac{3}{4}p\right)+\frac{d}{dp}\left(29\right)\\\\\frac{d}{dp}\left(-\frac{3}{4}p+29\right)=-\frac{3}{4}$

Substituting the values

$E(9)=\frac{9}{-\frac{3}{4}(9)+29}\cdot -\frac{3}{4}\\\\E(9)=\frac{36}{89}\cdot -\frac{3}{4}\\\\E(9)=-\frac{27}{89}\approx -0.30337$

$|E(9)|=|\frac{27}{89}| < 1$

Demand is inelastic at p = 9 and therefore revenue will increase with an increase in price.

6 0

2 years ago

What colour are the berries of the mistletoe plant?

hichkok12 [17]

The answer is white. Hope this helps

8 0

2 years ago

Read 2 more answers

Grade 7 Checkpoint 4- Part 1

zhannawk [14.2K]

Answer:

Step-by-step explanation:

Its 26 because we know that the other side of the line we know that it is 90 degrees so we subtract 90 from 64 and get 26 degrees

I'm in 6th grade by the way

3 0

1 year ago

Please help me... Question is in the picture

Butoxors [25]

Ok so as it says, the equation for the circumference (C) is C=2(pi)r.
Pi is about 3.14, so all you have to do is multiply those three values together for the circumference.
C=2•3.14•4
C= 25.12

So the answer would be D, 25.12.

5 0

3 years ago