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HACTEHA [7]
3 years ago
5

Taylor is building doghouses to sell. Each doghouse requires 3 full sheets of plywood which Taylor cuts into new shapes. The ply

wood is shipped in bundles of 14 full sheets. How many doghouses can Taylor make from 12 bundles of plywood?
Mathematics
1 answer:
lapo4ka [179]3 years ago
8 0

Answer:

Step-by-step explanation:

taylor is building doghouses to sell. each doghouse requires 3 full sheets of plywood which taylor cuts into new shapes. the plywood is shipped in bundles of 14 full sheets. how many doghouses can taylor make from 12 bundles of plywood?

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Which expression can be used to find 38% of 20
lubasha [3.4K]

Answer:

A.

Step-by-step explanation:

38% = 38/100 = 0.38

A percentage is anything over 100

8 0
2 years ago
Which of the following equations matches the function shown above?
inessss [21]

Answer:

the answer is D.

Step-by-step explanation:

3 0
3 years ago
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.8 ft/s,
shusha [124]

Answer:

-0.133 radians/s is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall.

Step-by-step explanation:

Let

x= distance between the wall and ladder

Ф = angle between the ladder and ground

The rate of change is: dx/dt = 0.8 ft/s

We need to find dФ/dt when x = 8 ft/s

From the triangle in the figure we see that:

cos Ф = x/10

=> x = 10 cosФ

Now, the rate of change will be

d(x)/dt = d/dt (10cosФ)

dx/dt = -10 sin Ф dФ/dt

dx/dt = 0.8 (given)

to find dФ/dt

we need to find sin Ф when x = 8

By Pythagoras theorem

(hypotenuse)^2 = (Perpendicular)^2+(base)^2

(10)^2 = (8)^2+ (Perpendicular)^2

100 = 64 +  (Perpendicular)^2

=>  (Perpendicular)^2 = 100-64

(Perpendicular)^2 = 36

Perpendicular = 6

sin Ф = Perpendicular/hypotenuse

sin Ф = 6/10 = 3/5

Putting values in:

dx/dt = -10 sin Ф dФ/dt

0.8 = -10(3/5) dФ/dt

0.8 = -6 dФ/dt

=> dФ/dt = 0.8 / -6

dФ/dt = - 0.133 radians/s

So, -0.133 radians/s is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall.

3 0
3 years ago
X^2=4x-15 solve with Quadratic formula
bulgar [2K]

Answer:

x=2+i\sqrt{11}

x=2-i\sqrt{11}

Step-by-step explanation:

we have

x^{2} =4x-15 -------> x^{2}-4x+15=0

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}-4x+15=0

so

a=1\\b=-4\\c=15

substitute in the formula

x=\frac{-(-4)(+/-)\sqrt{-4^{2}-4(1)(15)}} {2(1)}

x=\frac{4(+/-)\sqrt{16-60}} {2}

Remember that

i=\sqrt{-1}

x=\frac{4(+/-)\sqrt{-44}} {2}

x=\frac{4(+/-)2i\sqrt{11}} {2}

x=\frac{4(+)2i\sqrt{11}}{2}=2+i\sqrt{11}

x=\frac{4(-)2i\sqrt{11}}{2}=2-i\sqrt{11}

7 0
3 years ago
What is the mean absolute deviation of the following data set 3, 13, 11, 5​
charle [14.2K]

Answer:

4

Step-by-step explanation:

  1. Add up your data. 3+13+11+5=32
  2. Divide the sum by the number of data you have. In your case you would divide 32/4/
  3. This will give you 8, which is your mean. Now, subtract 8 from each value and put the difference to its absolute value.
  4. Now, add up each of these values  (5+5+3+3=16), then divide by 4. This will give you an answer of 4.

Hope this helps! Have a great day :)

6 0
2 years ago
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