MATHEMATICS HIGH SCHOOL

he area of a rectangle is 22.5 cm the length is 10.5 the width of the rectangle is ( x+.6)cm what is the width

Answers

Answer 1
Answer:

Answer:

Width, b = 2.14 cm

Step-by-step explanation:

Given that,

The area of the rectangle = 22.5 cm

Length, l = 10.5

Width, b = (x+0.6)cm

We need to find the width of the rectangle. The area of a rectangle is given by :

A = lb

So,

22.5 = 10.5(x+0.6)

22.5 =10.5x+6.3

22.5-6.3 = 10.5 x

16.2 = 10.5x

x = 16.2/10.5

x = 1.54 cm

Width, b = (1.54+0.6)cm

= 2.14 cm

So, the width of the rectangle is 2.14 cm.

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Give one equation that could generate the ordered pair (2,8)

Answers

1).   x = 2

2).   y = 8

3).  y = 4x

4).  y = 10x - 12

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Find the number: 2 x 10⁴ + 3 x 10² + 5 x 10⁰.

Answers

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A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow. What is the approximate height of the tree to the nearest foot? A) 16 feet
B) 17 feet
C) 18 feet
D) 19 feet

Answers

Answer:

Answer is option b

17 feet.

Step-by-step explanation:

Given that A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow.

for man actual height = 6 foot

Shadow = 9 foot

At a particular time, the height/shadow ratio would be constant

Hence 6/9 =x/25

Or x = 25(6)/9

x=16.67feet

Rounding off x=17 feet
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x = (6 * 25)/9 = 16.67feet

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Convert the following fraction into its decimal equivalent: 3/8

Answers

3/8 

Just divide to find the equal decimal. 

3/8 = 0.375

Answer: 0.375  ✌️

the answer is 0.375.  just divide

Define a function. Describe what the vertical line test is used for. Describe a real life situation that can be represented by a function.

Answers

A function is a relationship with a quantity (number). For example, if you made a table, and had one side be 1 2 3 4 5 (X axis) and then the y axis (other side) be 5, 10, 15, 20, 25, the function (rule) would be y= x5. The vertical line test is used to see if a graph has a function or not, so if it creates a vertical line on a graph, it has a function.
A real life situation would be miles per hour, so, for the x axis (hours) it said 1, and for the y axis (miles) it would be 60, this means in a duration of 1 hour you went 60 miles. Well, lets say you went 2 hours driving, the miles would be 120. 
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How do you know that 4x2x2 is the same as 4x4

Answers

If you would like to know if 4x2x2 is the same as 4x4, you can find out using the following step:

2x2 equals to 4, so instead of 2x2 you can write 4.

The result is: 4x2x2 = 4x(2x2) = 4x4, which is the same as 4x4 in the second part of the question.
Because 2×2=4
so 4×4=16
and 4×2×2=16
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