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3 years ago

What is the probability that a point chosen inside the large rectangle is not in the shaded region?

Mathematics

1 answer:

Maurinko [17]3 years ago

5 0

The shaded region has an area of 12 while the whole thing is 50 mutiply both by 2 to get the area of the shaded region and the whole thing by 100 After that subtract 24 from 100 and you get a 76 percent chance that you will randomly select an area in that box that isn't shaded.

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What effect would doubling all the dimensions of a triangular pyramid have on the volume of the pyramid?

lana66690 [7]

Answer:

The effect of doubling all the dimensions of a triangular pyramid will have on the volume of the pyramid is to increase it by 8 times.

Step-by-step explanation:

i) volume of triangular pyramid = $\frac{1}{3}$ $\times$ Area $\times$ height

= $\frac{1}{3}$ $\times$ (Base of triangle $\times$ perpendicular height of triangle) $\times$ height

ii) if we double all the dimensions then the three variables((Base of triangle, perpendicular height of triangle, height of pyramid) will be doubled

and the volume of the new pyramid will be 8 times that of the original one.

3 0

3 years ago

The quotient of 38 times a number and -4

nikdorinn [45]

Answer:

140y

Step-by-step explanation:

35 times a number times -4 is 35×y×(-4) which is -140y

4 0

3 years ago

Match each expression written in standard form to the equivalent expression in factored form

den301095 [7]

Answer:

1. 15x^7y^2 + 4x^3 => x^3(15x^4y^2 + 4)

2. 15x^7y^2 + 3x => 3x(5x^6y^2 + 1)

3. 15x^7y^2 + 6xy => 3xy(5x^6y + 2)

4. 15x^7 + 10y^2 => 5(3x^7 + 2y^2)

Step-by-step explanation:

To obtain the answer to the question, first let us factorise each expression. This is illustrated below:

1. 15x^7y^2 + 4x^3

Common factor is x^3, therefore the expression is written as:

x^3(15x^4y^2 + 4)

2. 15x^7y^2 + 3x

Common factor is 3x, therefore the expression is written as:

3x(5x^6y^2 + 1)

3. 15x^7y^2 + 6xy

Common factor is 3xy, therefore the expression is written as:

3xy(5x^6y + 2)

4. 15x^7 + 10y^2

Common factor is 5, therefore the expression can be written as:

5(3x^7 + 2y^2)

4 0

3 years ago

!! please hurry it's timed !!

jonny [76]

Answer:

(1,2)

Step-by-step explanation:

thats the point of intersection so they have the same outcome

I'm a little confused by the question but I hope this helps :)

6 0

3 years ago

Which value is equivalent to the expression 2^3 + 3^4

Nana76 [90]

Answer:

Step-by-step explanation:

2^3=2*2*2=8

3^4=3*3*3*3=9*9=81

8+81=89

3 0

3 years ago