Answer:
5 cm
Step-by-step explanation:
We khow that the altitude of this triangle is 1cm shorter than the base
- Let H be our altitude and B our base and A the area of the triangle
- A= (B*H)/2 ⇒ 15=(B*H)/2
- H is 1cm shorter than B ⇒ B=H+1
- H*(H+1)/2=15 ⇒ H*(H+1)=30⇒ H²+H=30⇒H²+H-30+0
that's a quadratic equation . Let's calculate the dicriminant .
Let Δ be the dicriminant
- a=1
- b=1
- c= -30
- Δ=b²-4*a*c = 1²-4*1*(-30)=1+4*30=121≥0
- Δ≥0⇔ that we have two solutions x and y
- x= (-1-
)/2= (-1-11)/2= -6 - y= (-1+)/2= 10/2 = 5
We have a negative value and a positive one
The altitude is a distance so it can't be negative
H= 5cm
Let x be the amount of cocoa you use in the recipe.
then 4x is the amount of flour used, and 5x is the amount sugar used.
x+4x+5x= 550g
10x=550g
x=55g
So, you use 55g of cocoa, 220g of flour, and 275g of sugar.
hope this helps! :)
Answer:
Step-by-step explanation:
Suppose numbers are <em>x</em> and <em>y</em>
<u>Product of </u><em><u>x</u></em><u> and </u><em><u>y</u></em><u> is </u><em><u>-2</u></em>
<u />
And sum of <em>x</em> and <em>y</em> is <em>-1</em>
So first, you need to find the y intercept and slope of the line/function.
then, you just plug it in to y=mx+b form
this one would be:
slope of -5/4
y intercept: 2
so it would be y=-5/4+2
<u>To find the area of the circle</u>:
⇒ need to know the formula: 
- r: radius or half of diameter's length ⇒ 7 meters
<u>Let's calculate:</u>
<u>The problem asks us to round to the nearest hundreth</u>:
<u>Answer:</u> 
Hope that helps!
