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zaharov [31]
2 years ago
6

Find the area of trapezoid ABCD by decomposing it into a rectangle and triangle.

Mathematics
1 answer:
Naddika [18.5K]2 years ago
5 0
Answer: C) 104 cm^2

Area of right triangle: 1/2 x 6 x 8 =24

Area of rectangle: 8 x 10 = 80

Add both areas get = 104cm
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Find the next two numbers in the sequence 5,2,-1,…
Nataly_w [17]

Answer:

The answer is (-4) and (-7).

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • a₁ = 5
  • a₂ = 2
  • a₃ = (-1)
<h3><u>To </u><u>Find</u>;</h3>
  • a₄ = ?
  • a₅ = ?
<h3><u>Formula</u>;</h3>
  • aₙ = a + (n – 1) × d

Now, for common difference (d)

d = a₂ – a₁ = 2 – 5 = -3

d = a₃ – a₂ = (-1) – 2 = -3

Here, common difference is same everywhere.

So, for fourth term or n = 4

aₙ = a + (n – 1) × d

a₄ = 5 + (4 – 1) × (-3)

a₄ = 5 + 3 × (-3)

a₄ = 5 – 9

a₄ = -4

Then, for fifth term or n = 5

a₅ = 5 + (5 – 1) × (-3)

a₅ = 5 + 4 × (-3)

a₅ = 5 – 12

a₅ = -7

Thus, The fourth term is (-4) and fifth term is (-7).

5 0
2 years ago
A company can produce 60 million chocolate candies within a 24-hour period.
Anika [276]

Answer:

f(x)=60c * 24h

Step-by-step explanation:

Hope this helped!

5 0
3 years ago
1. Max and Rosa picked cherries.
wolverine [178]

Answer:

24

Step-by-step explanation:

18+6=24 They ate 18 for lunch and Rosa ate 6 more, so you add them togther

3 0
3 years ago
Solve the system of equations please:<br> y=(x^2)+3x-6<br> y=x+2
yawa3891 [41]

Answer:

(- 4, - 2 ) and (2, 4 )

Step-by-step explanation:

Given the 2 equations

y = x² + 3x - 6 → (1)

y = x + 2 → (2)

Substitute y = x² + 3x - 6 into (2)

x² + 3x - 6 = x + 2 ( subtract x + 2 from both sides )

x² + 2x - 8 = 0 ← in standard form

(x + 4)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

Substitute these values into (2) for corresponding values of y

x = - 4 → y = - 4 + 2 = - 2 ⇒ (- 4, - 2 )

x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )

7 0
3 years ago
F(1)=16 f(n)=(n-1)+2n what is f(4)
Wittaler [7]
F(4)=(4-1)+2*4=11...

This seems a bit too easy though, did you mean f(n)=f(n-1)+2n ? In this case :
f(1)=16
f(2)=16+2*2=20
f(3)=20+2*3=26
f(4)=26+2*4=34
5 0
3 years ago
Read 2 more answers
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