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tia_tia [17]
2 years ago
12

A rectangle has a perimeter of 48 ft. The length and width are scaled by a factor 1.5. What is the perimeter of the resulting re

ctangle? Enter your answer in the box. ft
Mathematics
1 answer:
Tanzania [10]2 years ago
4 0

Answer:

72

Step-by-step explanation:

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The center of a hyperbola is located at (0, 0). One focus is located at (0, 5) and its associated directrix is represented by th
Lady bird [3.3K]
For a hyperbola   \dfrac{y^{2}}{a^{2}}-\dfrac{x^{2}}{b^{2}}=1
where   a^{2}+b^{2}=c^{2}
the directrix is the line   y=\dfrac{a^{2}}{c}
and the focus is at (0, c).

Here, we have c = 5, a² = 9, so b² = 5² - 9 = 16.
  a = √9 = 3
  b = √16 = 4

Your hyperbola's constants are ...
  a = 3
  b = 4


______
Please note that the equation of a hyperbola has a negative sign for one of the terms. The equation given in your problem statement is that of an ellipse.
8 0
2 years ago
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What percent of 84 is 12?
lozanna [386]
So here is what we have

12 is what we need

out of the 84 we have

so...

12/84= .1428571429

and lets check our work

.1428571429 X 84 = 12

now lets convert it to a percent

.1428571429 X 100 = 14.28571429%

so the answer is 

14.28571429%
6 0
2 years ago
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If you know that a < b, and both a and b are positive numbers, then what must be true about the relationship between the oppo
Ymorist [56]

Answer:

The number further left on a number line is the smaller number. For positive numbers, the number closest to zero is smaller. For negative numbers, the number closest to zero is larger. If a is less than b, and they are both positive, then a is closer to 0 than b. The opposite of a is also closer to zero than the opposite of b, so the opposite of a must be larger than the opposite of b.

Step-by-step explanation:

6 0
2 years ago
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If SYSTEM is coded as '131625', and KARMA is coded as '94854' then MARKET is coded as _____? (A) 845926 (B) 548926 (C) 629845 (D
MArishka [77]

Answer:

B. 548926

Step-by-step explanation:

Given

SYSTEM => '131625', and KARMA => '94854'

Required

MARKET is coded as?

To solve this, we simply map out each letter to the given characters;

This is done as follows:

S-> 1

Y-> 3

S-> 1

T-> 6

E -> 2

M-> 5

K-> 9

A-> 4

R-> 8

M-> 5

A -> 4

Remove repetitions

S-> 1

Y-> 3

T-> 6

E -> 2

M-> 5

K-> 9

R-> 8

A -> 4

Now, we can code MARKET using the same system

M-> 5

A -> 4

R-> 8

K-> 9

E -> 2

T-> 6

MARKET => 548926

5 0
2 years ago
2.) Bob has two weekend jobs. Last weekend he made a total of $77 after
aalyn [17]

Answer:

Step-by-step explanation:

x= money earned per hour working as a cashier.

y=money earned per hour working delivering newspapers.

We propose the following system of equations:

5x + 4y =77

6x + 3y=78

We solve the system by reduction method:

-6*(5x+4y=77) ⇒  -30x-24y=-462

5*(6x+3y=78)⇒     30x+15y=390

                             ---------------------------

                                     -9y=-72  ⇒   y=-72 /-9=8

Now, we get the value of "x" replacing the value of "y" by "8" in any part of the equation above.

5x + 4(8)=77

5x+32=77

5x=77-32

5x=45

x=45/5=9

therefore;  

money earned per hour working as a cashier= $9/ hour

money earned per hour working delivering newspapers=$8/hour

3 0
2 years ago
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