I need help on number 16

Mathematics

1 answer:

ollegr [7]3 years ago

5 0

There will be two squares.

Think about it: The shorter side is 3.5 feet. The longer side is 7 feet. If he cuts it in half on the longer side, he's taking the length of that longer side, and dividing it by 2. 7/2=3.5.

So, you'd have two squares, both with a length and width of 3.5 feet.

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On the scale drawing of a car, the length from bumper to bumper is 6 inches. The car's actual length, from bumper to bumper, is

baherus [9]

Answer:

$I=\frac{3}{8}\cdot F$ and $F = \frac{8}{3}\cdot I$ .

Step-by-step explanation:

Let I represent inches and F represent feet.

We have been given that on he scale drawing of a car, the length from bumper to bumper is 6 inches. The car's actual length, from bumper to bumper, is 16 feet.

We will use proportions to solve our given problem as:

$\frac{\text{Length on scale}}{\text{Actual length}}=\frac{6}{16}$

$\frac{I}{F}=\frac{6}{16}$

Now, let us solve for $I$ .

$I=\frac{6}{16}\cdot F$

$I=\frac{3}{8}\cdot F$

Now, let us solve our equation for F.

$I\cdot\frac{8}{3}=\frac{8}{3}\cdot\frac{3}{8}\cdot F$

$\frac{8}{3}\cdot I= F$

$F = \frac{8}{3}\cdot I$

Therefore, our required equations would be $I=\frac{3}{8}\cdot F$ and $F = \frac{8}{3}\cdot I$ .

8 0

3 years ago

A search committee is formed to find a new software engineer.

Free_Kalibri [48]

Answer:

(a) 1,902,231,808,400

(b) 84

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

${n\choose k}=\frac{n!}{k!\cdot(n-k)!}$

(a)

Compute the number of ways to select 9 applicants from 100 as follows:

${100\choose 9}=\frac{100!}{9!\cdot(100-9)!}$

$=\frac{100!}{9!\times 91!}\\\\=\frac{100\times 99\times 98\times 97\times 96\times 95\times 94\times 93\times 92\times 91!}{9!\times 91!}\\\\=\frac{100\times 99\times 98\times 97\times 96\times 95\times 94\times 93\times 92}{9!}\\\\=1902231808400$