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3 years ago

The product of a number and its blank is one

1 answer:

5 0

The product of any number and its reciprocal is ' 1 '.

Call the number ' Q '.
Whatever the number is, its reciprocal is 1/Q .

Their product is
( Q ) x ( 1/Q ) = ( Q/Q ) = 1

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A rectangle measures 6 3/4 cm by square root of 121 cm. What is the perimeter of the rectangle to the nearest tenth?

Anni [7]

Answer:

35.5 cm

Step-by-step explanation:

The perimeter (P) is calculated as

P = (2 × 6.75 ) + (2 × $\sqrt{121}$ )

= 13.5 + (2 × 11) = 13.5 + 22 = 35.5 cm

4 0

3 years ago

Read 2 more answers

Three exterior angles of a pentagon measures 60,80and 90.Find the measure of other two exterior angle, assuming them equally Tha

julsineya [31]

Given:

The three exterior angles of a pentagon measures 60,80 and 90.

To find:

The measure of other two exterior angle, assuming them equally.

Solution:

Let x be the measure of two other exterior angles of the pentagon.

We know that the sum of all exterior angles of a pentagon is 360 degrees.

$60^\circ+80^\circ+90^\circ+x+x=360^\circ$

$230^\circ+2x=360^\circ$

$2x=360^\circ-230^\circ$

$2x=130^\circ$

Divide both sides by 2.

$\dfrac{2x}{2}=\dfrac{130^\circ}{2}$

$x=65^\circ$

Therefore, the measures of both exterior angles are 65 degrees.

6 0

3 years ago

Suppose that p is the probability that a randomly selected person is left handed. The value (1-p) is the probability that the pe

solmaris [256]

Answer:

a) 1/2

b) 250

Step-by-step explanation:

The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for $p$ such that $1000p(1-p)$ is maximized. Once we have that $p$ , we can easily find the answer to part b.

Finding the value that maximizes $1000p(1-p)$ is the same as finding the value that maximizes $p(1-p)$ , just on a smaller scale. So, we really want to maximize $p(1-p)$ . To do this, we will do a trick called completing the square.

$p(1-p)=p-p^2=-p^2+p=-(p^2-p)=-(p^2-p+1/4)-(-1/4)=-(p-1/2)^2+1/4$ .

Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of $p$ such that the inner part of the square term is equal to $0$ .