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3 years ago

S is the set of current U.S. Senators from states that begin with A

Mathematics

1 answer:

castortr0y [4]3 years ago

4 0

Answer:

see below

Step-by-step explanation:

The "roster method" means you simply list them all:

{John Boozman, Doug Jones, Martha McSally, Lisa Murkowski, Tom Cotton, Richard C. Shelby, Kyrsten Sinema, Dan Sullivan}

_____

There are no senators from these states with the same name, so repeated elements is not an issue here.

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xand y are light house. y being 20km due east of x and from a ship due south of x the bearing of y was 055°. what is the distanc

leonid [27]

Answer:

I) |xz| ≈ 28.6 km

II) |yz| ≈ 34.8 km

Step-by-step explanation:

Let's assume that the position of ship due south of x is z (aà pictor representation of the question is attached)

|xy| = 20 km, |xz| = ?, |yz| = ?, θ(y) = 55°

Using Trigonometric ratio - SOHCAHTOA

I) Tan θ = |xz| ÷ |xy| ⇒ Tan 55° = |xz| ÷ 20

|xz| = 20 * Tan 55 = 20 * 1.428

|xz| = 28.56 km

|xz| ≈ 28.6 km

II) Cos θ = |xy| ÷ |yz| ⇒ Cos 55° = 20 ÷ |yz|

|yz| * Cos 55° = 20 ⇒ |yz| = 20 ÷ Cos 55°

|yz| = 20 ÷ 0.574 = 34.84 km

|yz| ≈ 34.8 km

4 0

3 years ago

Your parents took you family out to dinner. Your parents wanted to give the server 15% tip. If the subtotal of the dinner was 42

kvasek [131]

Answer:

i believe its $6.30

Step-by-step explanation:

You multiply 42 by .15

6 0

3 years ago

Read 2 more answers

Find the distance between the points with the given coordinates.√ (copy and paste the radical if necessary, no decimals)

Yakvenalex [24]

Answer:

$d=\sqrt{593}$

Step-by-step explanation:

Distance Between two Points in the Plane

Given two points A(x,y) and B(w,z), the distance between them is:

$d=\sqrt{(z-y)^2+(w-x)^2}$

We are given the points (5, 14) and (−3, −9). Substituting into the formula:

$d=\sqrt{(-9-14)^2+(-3-5)^2}$

$d=\sqrt{(-23)^2+(-8)^2}$

$d=\sqrt{529+64}$

$\boxed{d=\sqrt{593}}$

5 0

3 years ago

" a sales representative received a commission of 2375 on a week when sales were 9500 find the rate of commision the sales perso

marusya05 [52]

Sales commission would equal 25%

When finding a percent you should use a proportion

2375 X
——- = ——-
9500 100
Cross multiply
9500x = 237,500
Divide
9500x/9500. 237,500/9500
Your left with x=25

Therefore, sales commission equals 25%

4 0

4 years ago

If A = {2, 4, 6, 8, 10} and B = {4, 8, 10}, then which of the following statements is false?

Mashutka [201]

A C B is false. because A is a larger set than B it can't be a subset

8 0

3 years ago