A triangle has a side length of 3/4 inch and a side length of 3 inches. What could be the length, in inches, of the third side?

1 answer:

6 0

To solve this problem you must apply the proccedure shown below:

1- If the triangle is a rigth triangle, you must apply the Pythagorean Theorem. Taking the length 3 inches as the hypotenuse, which is the longest side of the triangle, you have:

a^2=b^2+c^2
c=√(a^2-b^2)

b=3/4 inches
a=3 inches

2- When you susbtitute the values, you obtain:

c=√(3 inches)^2-(3/4 inches)^2
c=2.90 inches

The answer is: 2.90 inches.

You might be interested in

What is the equation of a line with slope 2 and intercept 4?

Greeley [361]

The linear equation/slope intercept form is y=mx+b

M is the slope and b is the y-intercept.

So the equation would be: y=2x+4

3 0

2 years ago

Read 2 more answers

Which expression is equivalent to 1/4(8-6x+12)?

disa [49]

First simplify inside parenthasees 8-6x+12 -6x+8+12 -6x+20 distributive poproty a(b+c)=ab+ac 1/4(-6x+20)=-6x/4+20/4= -3/2x+5

8 0

3 years ago

Can someone please help me

zhuklara [117]

So what is the question?

7 0

2 years ago

1. The equation of a parabola is given.

svp [43]

Question 1)

The given parabola is:

$y= \frac{1}{8} x^{2} +4x+20$

First we need to convert this equation to the general form similar to:

$4p(y-k)=(x-h)^{2}$

So, the given equation will be:

$y= \frac{1}{8} x^{2} +4x+20 \\ \\ 
y= \frac{1}{8}( x^{2} +32x)+20 \\ \\ 
y= \frac{1}{8}( x^{2} +32x+256)+20- \frac{1}{8}(256) \\ \\ 
y = \frac{1}{8}(x+16)^{2}-12 \\ \\ 
y+12= \frac{1}{8}(x+16)^{2} \\ \\ 
8(y+12)=(x+16)^{2} \\ \\ 
4*2(y-(-12))=(x-(-16))^{2}$

Comparing given equation with the general equation, we can write:
p = 2
h = -12
k= -16

The focus of the parabola with squared x terms lies at (h , k+p)
Using the values, we get the focus point of the given parabola (-16, -10)

Question 2.

The equation of the parabola is:
$(y-1)^{2}=16(x+3) \\ \\ 
(y-1)^{2}=4*4(x+3)$

This means:
p=4
h = -3
k =1

The directrix of the parabola with squared y term has the equation of the form:

x = h - p

Using the values, we get

x= - 3 - 4 = -7

So, the equation of the directrix of the parabola will be x = -7

8 0

3 years ago

What does it mean to love your country?

IceJOKER [234]

Answer:

not my words... used quotes

“To love your country is to desire to see it become the best version of itself, to point out its failures, to recognize how we each have been complicit in allowing its worst to persist, to work together to create a community in which every resident has all that they need — love, food, shelter, health, peace, prosperity — and are truly treated as equals in every regard.”

‘Be proud of it, but not afraid to confront its problems’

To love your country is to be proud of it, but also to not be afraid to confront its problems and work to solve them. I love our blatant freedoms, despite all of the cries of “communism,” “social justice warriors” and “cancel culture.” We are still largely free to do what we want!

Step-by-step explanation:

3 0

2 years ago