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Mazyrski [523]
3 years ago
5

13. Higher Order Thinking Eve and Gerard

Mathematics
1 answer:
ella [17]3 years ago
6 0

Answer:

Gerard's blue section is larger.

Step-by-step explanation:

Eve  divided her half into 6 equal sections and painted one section blue.

So, the blue-painted part will be of size (\frac{1}{2} \times \frac{1}{6}) = \frac{1}{12} part of the whole poster.

Again, Gerard  divided her half into 5 equal sections and painted one section blue.

So, the blue-painted part will be of size (\frac{1}{2} \times \frac{1}{5}) = \frac{1}{10} part of the whole poster.

Now, since 12 > 10, so, \frac{1}{12} < \frac{1}{10}

Therefore, Gerard's blue section is larger. (Answer)

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What is the slope of the line shown below?
leonid [27]
The answer is A. -2/3
5 0
3 years ago
A large rectangular movie screen in an IMAX theater has an area of 8,364 square feet. Find the dimensions of the screen if it is
jeyben [28]

Answer:

The dimensions of the screen are

Length:102 feet

Width: 82 feet

Step-by-step explanation:

we know that

The area of the rectangle (movie screen) is equal to

A=LW

where

L is the length

W is the width

we have

A=8,364\ ft^2

so

8,364=LW ----> equation A

The screen is 20 feet longer than it is wide.

so

L=W+20 ---> equation B

substitute equation B in equation A

8,364=(W+20)W

solve for W

8,364=W^2+20W\\W^2+20W-8,364=0

solve the quadratic equation by graphing

the solution is W=82 ft

see the attached figure

Find the value of L

L=82+20=102\ ft

therefore

The dimensions of the screen are

Length:102 feet

Width: 82 feet

7 0
4 years ago
In the figure below, if BE is the perpendicular bisector of AD, what is the value of x?
dedylja [7]

Both sides would be the same, so set them to equal ans solve for x.


3x+4 = 2x +7

Subtract 4 from each side:

3x = 2x +3

Subtract 2x from each side:

x = 3

The answer is X =  3.

4 0
3 years ago
Which system of inequalities is represented by the graph?
Tamiku [17]
The blue line...
(1,2),(3,1)
slope = (1 - 2) / (3 - 1) = -1/2
there is a y int at (0,2.5) or (0,5/2)
it is shaded below the line....and it is a solid line
this inequality is :
y = -1/2x + 5/2
1/2x + y = 5/2
x + 2y = 5
x + 2y < = 5.....this is ur inequality


red line...
(0,4), (1,1)
slope = (1 - 4) / (1 - 0) = -3/1 = -3

there is a y int at (0,4)
it is shaded below the line...and it is a solid line
this inequality is :
y = -3x + 4
3x + y = 4
3x + y < = 4 ...this is ur inequality

summary :
ur 2 inequalities are : 
x + 2y < = 5 and 3x + y < = 4


4 0
4 years ago
The length and width or a rectangular courtyard is 40 feet and 30 feet, respectively. In order to make the courtyard larger, an
SpyIntel [72]

Answer:

The new area is 1800feet^2

Step-by-step explanation:

Step one:

Given data

The length and width or a rectangular courtyard is 40 feet and 30 feet

we can calculate the area of the courtyard as

Area= 40*30

Area= 1200 feet^2

when the extra 15 feet is added to the width

the new width is= 30+15= 45feet

The new area is

Area= 40*45

Area= 1800 feet^2

in all the area will increase by 1800-1200= 600feet

5 0
3 years ago
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