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
Answer:
the sum is 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
10x^2(3x^2 - 5x) Remove the brackets (Distributive Property)
10*3*x^2 * x^2 - 5x * 10x^2
30 x^(2 + 2) - 5*10x^(2+1)
30x^4 - 50x^3
Hi there! :)
<u>Answer:</u>
Jaime has 30 dimes in his pocket.
Step-by-step explanation:
First off, you need to know that:
A <em>quarter</em> is equal to = <u>$0.25</u>
A <em>dime</em> is equal to = $0.10
Jaime has 6 quarters, which means that he has 6 times $0.25:
6 × 0.25 = <u>$1.50</u>
Jaime has a total of $4.50 → Subtract the amout of money represented by the quarters and you'll be left with the amout of money represented by the dimes:
4.50 - 1.50 = <u>$3</u>
Jaime has $3 worth of dimes in his pocket. In order to know how many dimes $3 represents, you'll need to divide "3" by 0.10, which is what 1 dime is worth:
3 ÷ 0.10 = <u>30</u> → YOUR ANSWER
There you go! I really hope this helped, if there's anything just let me know! :)
