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2 years ago

14. The table shows the survey results of exercises

Mathematics

1 answer:

Akimi4 [234]2 years ago

3 0

Answer:

Answers in the question are A, B, and E.

The answers to the table are:

yes no total

yes: 12 25 37

no: 12 6 18

total: 24 31 55

Hopefully this helped, sorry if I was too late :)

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Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try

ryzh [129]

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

where

L is the length of rectangle

W is the width of rectangle

we have

$F(-2,5),R(-2,1),O(6,1),G(6,5)$

Plot the figure to better understand the problem

using a graphing tool

see the attached figure

Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees

$FG=RO=L\\RF=OG=W$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance FG

$F(-2,5),G(6,5)$

substitute the values

$d=\sqrt{(5-5)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$FG=8\ units$

step 2

Find the distance RF

$R(-2,1),F(-2,5)$

substitute the values

$d=\sqrt{(5-1)^{2}+(-2+2)^{2}}$

$d=\sqrt{(4)^{2}+(0)^{2}}$

$RF=4\ units$

step 3

Find the perimeter

$P=2(L+W)$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$P=2(8+4)=24\ units$

Part 2) Find the area of rectangle FROG

we know that

The area of rectangle is equal to

$A=LW$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$A=(8)(4)=32\ units^2$

8 0

2 years ago

Suppose you accumulated $500,000, perhaps from many years of saving. You put the money in a savings plan earning 6% compounded m

nata0808 [166]

The monthly interest rate is 6%/12 = 0.5%. The interest earned each month is
0.005*$500,000 = $2500

You can withdraw $2500 each month without disturbing the principal amount.

3 0

3 years ago

un supermercado ha comprado docientas cinquenta bolsas de naranjas de cinco kilos de trecientos ochenta euros y las pone a la ve

nasty-shy [4]

Answer:

zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Step-by-step explanation:

5 0

2 years ago

How many square feet of carpet will we need for this hole

Olenka [21]

Answer:

12 sq. ft.

Step-by-step explanation:

A=1/2bh

triangle 1: 1/2x2x4=4

triangle 2: 1/2x4x4=8

4+8=12

8 0

3 years ago

Read 2 more answers

Write an equation that represents the relationship between the independent and dependent quantities listed in the table. The tab

nlexa [21]

First, we can note that the relation between the independent and the dependent variables is a linear relation.

We will need two points: (1,3) and (2,5)
The general form of the equation of the linear line is:
y = mx + c where m is the slope and c is the y-intercept

To get the slope, we will use the following rule:
m = (y2-y1) / (x2-x1)
m = (5-3) / (2-1) = 2
The equation of the line now becomes:
y = 2x + c

To get the value of the c, use any of the given points and substitute in the equation. I will use (1,3) as follows:
y = 2x + c
3 = 2(1) + c
c = 3-2 = 1

Therefore, the equation of the line is:
y = 2x + 1

5 0

3 years ago