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Andreas93 [3]
3 years ago
9

Joe wants to add to his sticker collections. He wants to increase his collection by 20%. If he has 1,400 stickers in his collect

ion now, how many stickers does he need to add to his collection?
Mathematics
1 answer:
Rufina [12.5K]3 years ago
8 0
280? by multiplying 1400 and .2
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Consider the following system of equations:
IrinaK [193]

Answer:

x = 6 ; y = -9

Step-by-step explanation:

8 x + 2 y = 30  ..........equ No 1

7 x + 2 y = 24......... equ No 2

8 x = 30 - 2y

∴ x =\frac{ 30 - 2 y}{8}

substituting the value of x in equ No 2

7 \frac{30 - 2 y}{8} + 2 y = 24

7 ( 30 -2 y) + 2 y × 8 = 24 × 8

7 × 30 - 14 y + 16 y = 192

210 + 2 y = 192

2 y = 192 - 210

2 y = - 18

∴ y = - 9

put y = -9 , 8 x = 30 - 2 y

        8 x = 30 - 2 ( -9)

    8 x = 30 - ( -18)

  8 x = 48

∴ x = 6

x = 6 ; y = -9

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3 years ago
Solve for d<br> s = n /2 [ 2 a + ( n − 1 ) d ]
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The answer is d= -2an+2s/n^2-n

That answer should be in a fraction form.

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3 years ago
14. What is the value of the missing angle? (1 point)
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Step-by-step explanation:

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2 years ago
Using the equation y=(1/2)x, when x=0 what is the value y ?
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Step-by-step explanation:

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3 years ago
Use the information given in the diagrams to show that
Vlad1618 [11]

Answer:

  d = k·sin(2θ)·sin(α)/(sin(θ)·sin(β))

Step-by-step explanation:

The Law of Sines tells us that sides of a triangle are proportional to the sine of the opposite angle. This can be used along with a trig identity to demonstrate the required relation.

__

<h3>top triangle</h3>

The law of sines applied to the top triangle is ...

  BC/sin(A) = AC/sin(θ)

Triangle ABC is isosceles, so the base angles at B and C are congruent. Then the angle at vertex A is ...

  ∠A = 180° -θ -θ = 180° -2θ

A trig identity tells us the sine of an angle is equal to the sine of its supplement. That means the sine of angle A is ...

  sin(A) = sin(180° -2θ) = sin(2θ)

and our above Law of Sines equation tells us ...

  BC = sin(A)/sin(θ)·AC = k·sin(2θ)/sin(θ)

__

<h3>bottom triangle</h3>

The law of sines applied to the bottom triangle is ...

  DC/sin(B) = BC/sin(D)

  d/sin(α) = BC/sin(β)

Multiplying by sin(α) we have ...

  d = BC·sin(α)/sin(β)

__

Using our expression for BC gives the desired relation:

  d = k·sin(2θ)·sin(α)/(sin(θ)·sin(β))

7 0
1 year ago
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