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k0ka [10]
3 years ago
7

Which expressions are equivalent to 22c + 33d?

Mathematics
1 answer:
harkovskaia [24]3 years ago
4 0

Answer:

A, C, and E

Step-by-step explanation:

For the first one, distribute -11 to each value. A negative times a negative is a positive, so -11×-2c is 22c. -11×-3d is 33d. So the first one is right. For the third one, distribute 1/3 to each value. 1/3 of 66c is 22c, and 1/3 of 99d is 33d, so the third one is correct as well. For the last one, distribute 11 again. 11×2c is 22c and 11×3d is 33d, so the last one is correct.

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Please help me with this question​
Trava [24]

Applying the formula for the area of a sector and length of an arc, the value of k is calculated as: 27.

<h3>What is the Area of a Sector?</h3>

Area of a sector of a circle = ∅/360 × πr²

<h3>What is the Length of an Arc?</h3>

Length of arc = ∅/360 × 2πr

Given the following:

  • Radius (r) = 9 cm
  • Length of arc = 6π cm
  • Area of sector = kπ cm²

Find ∅ of the sector using the formula for length of acr:

∅/360 × 2πr = 6π

Plug in the value of r

∅/360 × 2π(9) = 6π

∅/360 × 18π = 6π

Divide both sides by 18π

∅/360 = 6π/18π

∅/360 = 1/3

Multiply both sides by 360

∅ = 1/3 × 360

∅ = 120°

Find the area of the sector:

Area = ∅/360 × πr² = 120/360 × π(9²)

Area = 1/3 × π81

Area = 27π

Therefore, the value of k is 27.

Learn more about area of sector on:

brainly.com/question/22972014

4 0
3 years ago
What happens if I have $84 in 1/4 is taken away how manny do I have left
DanielleElmas [232]
You would have 63$$ left
7 0
3 years ago
I need 4 1/2 teaspoons of butter but i only have 1/8 measuring cup how many 1/8 of butter do i need?
omeli [17]

Answer:

2 1/2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please solve this and show explanation! ty!
ch4aika [34]

Answer: x=1 or x=−1

Step-by-step explanation: Step 1: Add 6 to both sides.

x2−6+6=−5+6

x2=1

Step 2: Take the square root.

x=±√1

BRAINLESS

6 0
3 years ago
Read 2 more answers
fire work a travels at the speed 300 ft/s firework b travels 240 ft/s. firework b is launched 0.25s before firework a. how many
storchak [24]

Answer:

Both fireworks  will explode after 1 seconds after firework b launches.

Step-by-step explanation:

Given:

Speed of fire work A= 300 ft/s

Speed of Firework B=240 ft/s

Time before which fire work b is launched =0.25s

To Find:

How many seconds after firework b launches will both fireworks explode=?

Solution:

Let t be the time(seconds) after which both the fireworks explode.

By the time the firework a has been launched, Firework B has been launch 0.25 s, So we can treat them as two separate equation

Firework A= 330(t)

Firework B=240(t)+240(0.25)

Since we need to know the same time after which they explode, we can equate both the equations

330(t) = 240(t)+240(0.25)

300(t)= 240(t)+60

300(t)-240(t)= 60

60(t)=60

t=\frac{60}{60}

t=1

7 0
3 years ago
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