Activity 1: Performance task continued

Ricardo drove 15 miles in 20 minutes. What was his average rate in miles per hour?<br> (number form)

Rudiy27

Answer:3/4 miles per hour

Step-by-step explanation:

Simplify the fraction 20/15 to get 3/4 per hour or 0.75 miles per hour

8 0

3 years ago

What is 5/8-1 7/8.

vlada-n [284]

Answer:

-10/8

Step-by-step explanation:

1 and 7/8 = 15/8

5/8 - 15/8= -10/8

4 0

3 years ago

Divide.<br> a.1 − 2i/2i<br> b. 5 − 2i/5 + 2i<br> c.√3 − 2i/−2 − √3i

Umnica [9.8K]

Answer:

(a) \frac{-1i}{2}-1[/tex]

(b) $\frac{20i+21}{29}$

(c) i

Step-by-step explanation:

We have to perform division

(a) $\frac{1-2i}{2i}$

So after division

$\frac{1-2i}{2i}=\frac{1}{2i}-\frac{2i}{2i}=\frac{-1i}{2}-1$

(b) We have given expression $\frac{5-2i}{5+2i}$

After rationalizing $\frac{5-2i}{5+2i}\times \frac{5-2i}{5-2i}=\frac{(5-2i)^2}{25+4}=\frac{25+4i^2+20i}{29}=\frac{20i+21}{29}$

(c) We have given expression $\frac{\sqrt{3}-2i}{-2-\sqrt{3i}}$

After rationalizing

$\frac{\sqrt{3}-2i}{-2-\sqrt{3i}}\times \frac{-2+\sqrt{3i}}{-2+\sqrt{3i}}=\frac{-2\sqrt{3}+7i+2\sqrt{3}}{7}=\frac{7i}{7}=i$

5 0

4 years ago

A company wants to determine the level of interest among its employees for an annual summer picnic. The company wants to survey

Alja [10]

Answer: Use employee identification numbers to randomly select 200 employees

Step-by-step explanation:

Random sampling refers to a sampling technique whereby each sample has an equal chance of being selected. It is an unbiased representation of the entire population and this is vital in drawing conclusion.

From the options given, the best way to randomly choose these 200 employees will be to use employee identification numbers to randomly select 200 employees.

7 0

3 years ago

Sophie bought a cylindrical rain barrel to water her garden, but she forgot to ask the seller what the

Assoli18 [71]

The diameter of the cylindrical rain barrel which Sophie bought to water her garden, and want to build a platform for it is 15 in.

<h3>What is of volume of cylinder?</h3>

Volume of cylinder is the amount of quantity, which is obtained by it in the 3 dimensional space.

The volume of the cylinder can be given as,

$V=\pi r^2h$

Here, (r) is the radius of the base of the cylinder and (h) is the height of the cylinder.

Sophie bought a cylindrical rain barrel to water her garden, but she forgot to ask the seller what the diameter of the barrel was.

She needs to know the diameter so that she can build a platform for it to sit on.

The seller told her the volume of the barrel is 6,925pi cubic in and its height is 38 in.

$V=\pi r^2h\\6925=\pi r^2(38)\\\dfrac{6925}{38\pi}= r^2\\r=\sqrt{\dfrac{6925}{38\pi}}\\r\approx7.62 \rm\; in$

The diameter of the cylinder is twice the radius of it. Thus, the diameter of the cylinder is,

$d=7.62\times2\\d=15.23\rm\\d\approx15\rm\; in$

Thus, the diameter of the cylindrical rain barrel which Sophie bought to water her garden, and want to build a platform for it is 15 in.

Learn more about the volume of cylinder here;

brainly.com/question/12748872

#SPJ1

7 0

2 years ago