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Lisa [10]
2 years ago
13

A rectangular picture frame has a length that is 6 cm greater than the width. The total perimeter is 36

Mathematics
1 answer:
Elan Coil [88]2 years ago
3 0

Answer:

Step-by-step explanation:

width= x

length= x+6

perimter  = 2x+ 2(x+6)

36= 2x+ 2x+ 12

36= 4x + 12

36-12= 4x

4x= 24

x= 6

therefore width= 6cm

length= 6+6 = 12

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Describe any domain restrictions that make sense for each of these scenarios: The price of a stock fluctuates several times thro
mrs_skeptik [129]

Answer:

  • a) Restriction: days of the year (a discrete time)

  • b) The time the ball is on the air: t = 0, until the balls touchs the ground (any real value from t = 0 to t when the ball hits the ground)

  • c) Any positive real value: x ≥ 0

Explanation:

The <em>domain </em>is the set of elements that can be inputs of the <em>function</em>.

<u><em>1. The price of a stock fluctuates several times throughout the year as a function of time.</em></u>

The input variable is the time through out the year.

If you assume that the fluctuaion is recorded once a day, and not every second, the logical assumption is that the time is a day of the year.

Thus, the restricion is the days of the year.

You could represent them in different forms, like DD/MM/YY, or even as a number from 1 to 365 if it covers just one year.

<u><em></em></u>

<u><em>2. A ball is hit into the air by a baseball player, rises until it reaches its highest point, and then falls into left field.</em></u>

The domain is the time the ball is on the air, which may be any real value from t = 0, until the balls touchs the ground.

It is not restricted to integer numbers.

<u><em>3. The volume of a spherical balloon increases as the balloon is blown up and decreases as air is let out of it.</em></u>

The inputs of the function are amounts of air, which may be measured as number of moles.

The number of moles can be any real value equal or greater than zero.

Thus, the domain is the positive real values x ≥ 0.

8 0
3 years ago
Read 2 more answers
What is the sum of all integers x that satisfy 1 &lt; (pi -1 )x &lt; 10?
DedPeter [7]

Answer:

10

Step-by-step explanation:

pi is 3.14...

pi - 1 is 2.14...

question becomes 1<2.14x and 2.14x < 10

1/2.14 < x, 0.46... < x

x < 10/2.14, x < 4.67...

combining

0.46< x < 4.67

x can be 1, 2, 3, 4

3 0
3 years ago
Read 2 more answers
There are 28 students in a class. 13 of the students are boys. Two students from the class are chosen at random. a) If the first
Luba_88 [7]

Answer:

Step-by-step explanation:

3 0
2 years ago
SUIVE
Marrrta [24]

Answer:

Step-by-step explanation:

t = tutoring and g = grocery store

t + g = 15......t = 15 - g

15t + 9g = 159

15(15 - g) + 9g = 159

225 - 15g + 9g = 159

-15g + 9g = 159 - 225

-6g = - 66

g = -66/-6

g = 11 <===== 11 hrs worked at the grocery store

t + g = 15

t + 11 = 15

t = 15 - 11

t = 4.....4 hrs tutoring

4 0
3 years ago
Please explain how you got the answer!
ValentinkaMS [17]
Definition of additional: MORE, more, <em>and</em> more.
<em>Not </em>a definition of additional: SAME, same, and same.

We are given that EF is parallel to GH.
Remember, the definition of additional.

We wouldn't want the same piece of information, would we?

That's why we want a new piece of information:
Answer Choice B; FG parallel to EH.
6 0
2 years ago
Read 2 more answers
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