MATHEMATICS COLLEGE

Calculate how wide each space should be.The lot is 41 feet wide.

The dividers are each 6 feet wide.

The dividers need to go evenly in

Answers

Answer 1

Answer:

Answer:

Each space should be 6.83333 feet wide.

Step-by-step explanation:

a) Data and Calculations:

Lot = 41 feet wide

Dividers = 6 feet wide

For even spacing, 41/6 = 6.83333 feet

b) The quotient is equal to the dividend divided by the divisor. Since the lot is 41 feet wide, the quotient, when divided by some 6-feet wide dividers, will be equal to 6.83333 or 7 feet wide. This implies that each divider will occupy a space equivalent to 7 feet or specifically 6.83333 feet wide.

Answer 2

Answer:

Final answer:

Each space should be 23 feet wide.

Explanation:

To calculate how wide each space should be, subtract the total width of the dividers from the width of the lot. In this case, the lot is 41 feet wide and each divider is 6 feet wide. So the space needed for the dividers would be:

6 feet + 6 feet + 6 feet = 18 feet

Now subtract the space needed for the dividers from the width of the lot:

41 feet - 18 feet = 23 feet

Therefore, each space should be 23 feet wide.

Learn more about Width of spaces here:

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Answers

$(2 \sin ^(2) \alpha-1)/(\sin \alpha+\cos \alpha) = sin \alpha - cos \alpha$

Solution:

Given that we have to simplify:

$(2 \sin ^(2) \alpha-1)/(\sin \alpha+\cos \alpha)$ ---- eqn 1

We know that,

$sin^2 x = 1 - cos^2 x$

Substitute the above identity in eqn 1

$(2\left(1-\cos ^(2) \alpha\right)-1)/(\sin \alpha+\cos \alpha)$

Simplify the above expression

$(2-2 \cos ^(2) \alpha-1)/(\sin \alpha+\cos \alpha)$

$(1-2 \cos ^(2) \alpha)/(\sin \alpha+\cos \alpha)$ ------- eqn 2

By the trignometric identity,

$(sin x + cos x)(sin x - cos x) = 1-2cos^2 x$

Substitute the above identity in eqn 2

$((\sin \alpha+\cos \alpha)(\sin \alpha-\cos \alpha))/(\sin \alpha+\cos \alpha)$

Cancel the common factors in numerator and denominator

$((\sin \alpha+\cos \alpha)(\sin \alpha-\cos \alpha))/(\sin \alpha+\cos \alpha)=\sin \alpha-\cos \alpha$

Thus the simplified expression is:

$(2 \sin ^(2) \alpha-1)/(\sin \alpha+\cos \alpha) = sin \alpha - cos \alpha$

Can somebody help with this ?

Answers

You have to calculate the median and which the numbers all

A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 12 feet more than the length of the shortest side.Find the dimensions if the perimeter is 136 feet

Answers

x - the shortest side

2x

x + 28

The sum of these must be equal to the perimeter of the flower bed, so

x + 2x + x + 28 = 184

4 x + 28 = 184 Combined like terms

4x = 156 Subtracted 28 from both sides

x = 39 Divided both sides by 4.

So the dimensions are 39 feet, 78 feet, and 67 feet

Which relation is a function?

Answers

Answer:

the third one cause of it's inputs

The function f(x) = 2x2 + 3 represents the rate of a boat traveling with the current in miles per hour. The function g(x) = x + 2 represents the time the boat traveled in hours. Solve (f • g)(2), and interpret the answer.

Answers

$\boxed{(f\cdot g)(2)=44}$

Explanation:

Here we have two functions, namely:

$f(x)=2x^2+3 \n \n \n g(x)=x+2$

So here we need to perform the product of two functions and evaluate this new function for $x=2$ . So:

$f(x)=2x^2+3 \n \n g(x)=x+2 \n \n \n (f\cdot g)(x)=(2x^2+3)(x+2) \n \n (f\cdot g)(2)=(2* 2^2+3)(2+2) \n \n \boxed{(f\cdot g)(2)=44}$

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Answer:

C.(f • g)(2) = 44, the distance in miles the boat traveled

Step-by-step explanation:

The events A and B are mutually exclusive. If P(A)=0.1 and P(B)=0.4, what is P(A or B)? ASAP

Answers

Answer:

Given that the events A and B are mutually exclusive.

P(A) = 0.1

P(B) = 0.4

Mutually Exclusive Events: When two events are Mutually Exclusive it is impossible for them to happen together i.e

If A and B are two events then; P(A and B) = 0

then;

P(A or B) = P(A) +P(B)

By the definition of mutually exclusive events;

P(A or B) = P(A) +P(B) ......[1]

Substitute the values of P(A) = 0.1 and P(B) = 0.4 in [1] we have;

P(A or B) = P(A) +P(B) = 0.1+0.4 = 0.5

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