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faltersainse [42]
2 years ago
11

A school gym is divided for a fair by bisecting its width and its length. Each half of the length is then​ bisected, forming 8 s

ections in all. What are the dimensions and area of each​ section?
Mathematics
2 answers:
SVETLANKA909090 [29]2 years ago
7 0

Answer:

Dimensions will be

New Length= x/16 units

New width = y/2 units

Area=xy/32 square units

Step-by-step explanation:

Lets assume the dimensions of the school gym to be ;

Length= x

width= y

Length and width are first bisected for a fair.This means by a half

Length will be =x/2

Width will be =y/2

Then the length is divided to form 8 sections that are equal, which will ;

(x/2)÷8

x/2 * 1/8 = x/16 units

New length = x/16 units in dimension

New width will be y/2 units in dimension

Area of each section will be;

length by width

(x/16 )*(y/2)

=xy/32 square units

a_sh-v [17]2 years ago
4 0

Answer:

Each section is 22.5 ft long by 30 ft wide. The area of each section is 675 ft squared.

Step-by-step explanation:

x=60

1.5*60=90 so 90 is the length

60 is the width

90 divided by 4 is 22.5

60 divided by 2 is 30

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Z to the power of 2 =1
stiv31 [10]

That would be written as:

z^{2} = 1


And the step-by-step equation would be:

z^{2} = 1 → we take the 2 to the right side of the equation and do the IO*

z = \sqrt{1} →we solve for \sqrt{1}

z = 1 → final answer


*Ps - IO is not an existing term and stands for inverse operation. In this case, because when we take to 2 to the right side of the equation (the 2 is a power) it'll have to turn into a square root (because exponents and roots are inverse operations)



Hope it helped,



BioTeacher101

3 0
2 years ago
Using two or more complete sentences, describe how to find the general rule for the arithmetic sequence with a4 = -1 and a6 = -1
adoni [48]

Answer:

Step-by-step explanation:

to find the arithmetic sequence with a4=-1 and a6=-13

first: find the difference: an=a+(n-1)d

a4=-1

that means a1+d(4-1)=-1 ( since a4 given and need to find a1)

a1+3d=-1 first equation

a1+d(6-1)=-13 ( a6 is given)

a1+5d=-13 second equation

a1+3d=-1

a1+5d=-13 ( find a and d by subtraction)

a1+3d-a1-5d=-1-(-13)

2d=12

d=-12/2=-6 ( substitute d in the equation: a1+3d=-1)

difference =-6

a1=17

a1,a2,a3,a4,a5,a6,....

the sequence is : 17,11,5,-1,-7,-13,.....

hope it works

5 0
2 years ago
Please help me. The original blueprint of the Moreno’s’ living room has a scale of 2 inches= 5 feet. The family wants to use a n
Svetradugi [14.3K]

Answer:

Part a) The scale of the new blueprint is \frac{5}{8} \frac{in}{ft}    

Part b) The width of the living room in the new blueprint is 9.4\ in

Step-by-step explanation:

we know that

The scale of the original blueprint is

\frac{2}{5}\frac{in}{ft}

and

the width of the living room on the original blueprint is 6 inches

so

<em>Find the actual width of the living room, using proportion</em>

\frac{2}{5}\frac{in}{ft}=\frac{6}{x}\frac{in}{ft}\\ \\x=5*6/2\\ \\x=15\ ft

<em>Find the actual length of the living room, using proportion</em>

\frac{2}{5}\frac{in}{ft}=\frac{9.6}{x}\frac{in}{ft}\\ \\x=5*9.6/2\\ \\x=24\ ft

<em>Find the scale of the new blueprint</em>, divide the length of the living room on the new blueprint by the actual length of the living room

\frac{15}{24} \frac{in}{ft}

simplify  

\frac{5}{8} \frac{in}{ft}      

<em>Find the width of the living room in the new blueprint, using proportion</em>

\frac{5}{8}\frac{in}{ft}=\frac{x}{15}\frac{in}{ft}\\ \\x=15*5/8\\ \\x=9.4\ in

3 0
2 years ago
A company's stock price fluctuated over a period of four days. The table shows the change in stock price per day.
ArbitrLikvidat [17]

Answer:

13.9

Step-by-step explanation:

add them all and get that

4 0
2 years ago
Read 2 more answers
Three corporations each own land. Corporation A owns 3.2 × 105 acres, corporation B owns 4 × 104 acres, and corporation C owns 4
Gekata [30.6K]
Just multiply... 3.2 x 105 = 336   4 x 104 = 416   4.3 x 105 = 451.5                        Then to find how much larger A is, divide... 336 / 416 = about 0.81 times larger (or put simply it isn't).




7 0
2 years ago
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