Ask question

Ask question

All categories

3 years ago

15

The side length of an equilateral triangle is 20 centimeters. Find the length of altitude of the triangle.

1 answer:

gtnhenbr [62]3 years ago

7 0

Answer:

17.3 cm

Step-by-step explanation:

20² = 10² + x²

400 = 100 + x²

300 = x²

x = 17.3 cm

You might be interested in

Danielle bought a house for $215,000. She financed $189,375 of the purchase price with a 15-year-fixed-rate mortgage with a 6.1%

Brilliant_brown [7]

Total cost of the house = $215,000
Amount financed through mortgage = $189,375
Amount paid through other means (such as cash) = 215,000-189,375 = $25,625
Rate = 6.1% = 0.061
Number of years = 15 years

Monthly payment, M = P[i(1+i/12)^12*15]/[(1+i/12)^12*15 -1] = 189,375[0.061/12(1+0.061/12)^12*15]/[(1+0.061/12)^12*15 - 1] = $1,608.30
Total amount paid = $25,625 + (M*12*15) = $25,625 + $289,494.56 = $315,119.56

Seems the options given don't match the correct answer.

4 0

3 years ago

Please help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Wittaler [7]

Answer:

-4 5/12

Step-by-step explanation:

-23/3 + (-11/2) + 35/4

<em>Find a common denominator (12).</em>

-92/12 + (-66/12) + 105/12

<em>Reform the equation to have this as a single fraction.</em>

(-92 + (-66) + 105)/12

<em>Subtract 66 from -92 to get -158.</em>

(-158 + 105)/12

<em>Add 105 to -158 to get -53.</em>

-53/12

<em>Convert into a mixed number by dividing by 12.</em>

-4 5/12 (Choice A) is your answer.

6 0

3 years ago

Write the equation of the line passing through the points (-4,-1) and (2,8)

klio [65]

<h3><u>Explanation</u><u>:</u></h3>

Calculate the slope with two given coordinate points by using rise over run.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Let these points

$\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}$

$m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}$

Slope-Intercept

$y = mx + b \\ m = slope \\ b = y - intercept$

Substitute the value of m in the equation.

$y = \frac{3}{2} x + b$

Substitute any coordinate points that are given or part of the graph in the equation.

$(x_, y) = ( - 4, - 1)$

$- 1 = \frac{3}{2} ( - 4) + b$

Solve the equation for b-term.

$- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b$

Rewrite the equation by substituting the value of b in the equation.

$y = \frac{3}{2} x + 5$

<h3><u>Answer</u></h3>

$\large \boxed{y = \frac{3}{2} x + 5}$

<em>If</em><em> </em><em>you</em><em> </em><em>have</em><em> </em><em>any</em><em> </em><em>questions</em><em> </em><em>related</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>answer</em><em>,</em><em> </em><em>feel</em><em> </em><em>free</em><em> </em><em>to</em><em> </em><em>ask</em><em> </em><em>via</em><em> </em><em>comment</em><em>.</em>

7 0

3 years ago

3x-32=-7×+28. what does x =

Vitek1552 [10]

Hello!

3x - 32 = -7x + 28

-32 - 28 = -7x - 3x

-60 = -10x

-6 = -x

6 = x

x = 6

I hope this helps you! Have a lovely day!

- Mal

3 0

2 years ago

Read 2 more answers

PLZ HURRY!!!!!!!!!!!!!<br> Simplify. <br> −4x^2(5x^4−3x^2+x−2)

Simora [160]

$\bold{Answer}$

$\boxed{\bold{-20x^6+12x^4-4x^3+8x^2}}$

$\bold{Explanation}$

$\bold{Simplify: \ -4x^2\left(5x^4-3x^2+x-2\right)}$

$\bold{------------------}$

$\bold{Distribute \ Parenthesis}$

$\bold{\left(-4x^2\right)\cdot \:5x^4+\left(-4x^2\right)\left(-3x^2\right)+\left(-4x^2\right)x+\left(-4x^2\right)\left(-2\right)}$

$\bold{Apply \ Addition \ / \ Subtraction \ Rules: \ +\left(-a\right)=-a,\:\:\left(-a\right)\left(-b\right)=ab}$

$\bold{-4\cdot \:5x^4x^2+4\cdot \:3x^2x^2-4x^2x+4\cdot \:2x^2}$

$\bold{Simplify \ -4\cdot \:5x^4x^2+4\cdot \:3x^2x^2-4x^2x+4\cdot \:2x^2: \ -20x^6+12x^4-4x^3+8x^2}$

$\bold{-20x^6+12x^4-4x^3+8x^2}$

$\boxed{\bold{Eclipsed}}$

5 0

3 years ago