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UkoKoshka [18]
3 years ago
14

Find the area of this trapezoid. Be sure to include the correct unit in your answer.

Mathematics
1 answer:
Lilit [14]3 years ago
5 0

Answer:

The area of trapezoid is 48 m².

Step-by-step explanation:

You have to apply the area of trapezoid formula, A = 1/2×(a+b)×h where a and b represents the length and h is the height :

area =  \frac{1}{2}  \times (a + b) \times h

let \: a = 3,b = 9,h = 8

area =  \frac{1}{2}  \times (3 + 9) \times 8

area =  \frac{1}{2}  \times 12 \times 8

area = 48 \:  {m}^{2}

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6. A factory has two types of machines.
Pie

210 pieces

Step-by-step explanation:

First, you need to figure out how many pieces a single machine can cut in a minute, so you need to divide 105 by 3, which gets you 35 pieces per minute.

Next, since we know there are 6 machines, and one machine canncut 35 pieces per minute, we can the figure out how many pieces all 6 cutting machines can cut in 1 minute. You would do this by making an equation such as this:

35 \times 6 = x

The x represents the total number of pieces cut by all 6 machines in one minute.

Next, since we now have an equation, we can go ahead and solve it. We would multiply 35 by 6, which would get us 210 pieces per minute that can be cut by all six machines

8 0
3 years ago
Read 2 more answers
John's dog eats 8 ounces of dog food each day. John bought 20-pound bag of dog food. How many 8 - ounces are in 28- pounds of do
aleksley [76]
8x3= 24...
there are 3 8 ounces in 28 pounds of dog food...
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5 0
4 years ago
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Pretty please help I’m timed
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First one...

Step-by-step explanation:

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3 years ago
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What is the common ratio of the geometric sequence 16, 24, 36, 54, ...? 1 8
timurjin [86]
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5 0
3 years ago
For `z_1 = 9"cis" (5pi)/(6)` and `z_2 = 3"cis" (pi)/(3)`, find `(z1)/(z2)` in rectangular form.
sammy [17]

Answer:

option D is correct, i.e. 3i

Step-by-step explanation:

Given are the complex number as Z₁ = 9 cis(5π/6) and Z₂ = 3 cis(π/3)

So magnitudes are r₁ = 9, and r₂ = 3

And arguments are ∅₁ = 5π/6, and ∅₂ = π/3

We know the formula for division of complex number is given as follows:-

If Z₁ = r₁ cis(∅₁) and Z₂ = r₂ cis(∅₂)

Then |Z₁ / Z₂| = (r₁/r₂) cis(∅₁ - ∅₂)

|Z₁ / Z₂| = (9/3) cis(5π/6 - π/3)

|Z₁ / Z₂| = 3 cis(5π/6 - 2π/6)

|Z₁ / Z₂| = 3 cis(3π/6)

|Z₁ / Z₂| = 3 cis(π/2)

|Z₁ / Z₂| = 3 cos(π/2) + 3i sin(π/2)

|Z₁ / Z₂| = 3*(0) + 3i*(1)

|Z₁ / Z₂| = 0 + 3i

|Z₁ / Z₂| = 3i

Hence, option D is correct, i.e. 3i

8 0
3 years ago
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