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Aleksandr-060686 [28]
2 years ago
9

Need help it’s easy and quick points please

Mathematics
1 answer:
jasenka [17]2 years ago
8 0

Answer:

j=35

Step-by-step explanation:

Since the shorter side has a length of 60 the other shorter side also has a length of 60 and the whole rectangle's perimeter is 400 if you add the shorter sides you get 120 to find the total length of the longer sides we have to subtract 400 by 120 and by doing that we get 280 so the total length of the longer sides is 280 and since there are 2 sides we have to divide 280 by 2 and we get 140 but, j *4 is 140 and we still have to find j so we divide 140 by 4 to get 35 and thus j=35

pls mark braineliest if helpful

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The altitude of a triangle is 1cm shorter than the base. If the area of the triangle is 15cm2, calculate the altitude.
WITCHER [35]

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-\sqrt{121})/2= (-1-11)/2= -6
  • y= (-1+\sqrt{121})/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

6 0
3 years ago
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natulia [17]
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3 years ago
Isosceles trapezoid ABCD has legs If AB = 6y – 3, BC = 4y – 5, and CD = 7y – 18, find the value of y
castortr0y [4]

Answer:

The value of y is y=15

Step-by-step explanation:

We have:

AB = 6y – 3, BC = 4y – 5, and CD = 7y – 18

We define the isosceles trapezoid as it has two opposites parallel, the two other opposites legs are equal and also the diagonals are equal.

Here AB = CD

6y-3 = 7y-18

Combine the like terms:

18-3 = 7y-6y

15 = y

It means the value of y is  y=15....

4 0
3 years ago
Which expression is equivalent to that
kari74 [83]

Answer:

3. 9x

4. D. -5v + 4

Step-by-step explanation:

3. (-3+12)v

= 9v

4. Combine like terms:

(-2v - 3v) + (8 - 4)

= -5v + 4

6 0
3 years ago
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Answer:

Step-by-step explanation:

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