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Maslowich
3 years ago
10

the base of a rectangle is three times as long as the height. of the perimeter is 64, what is the area of the rectangle

Mathematics
1 answer:
Alex777 [14]3 years ago
3 0

Answer: 192

Step-by-step explanation:

Use algebra

x + 3x + x + 3x = 64 (perimeter)

Combine Like Terms

8x = 64

x = 8

8 + 24 + 8 + 24 = 64

24/8 = 3

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Setler79 [48]
It is 207 remainder 5
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3 years ago
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Let the sequence {an} be defined so that a1 = 1 and each succeeding term is found by adding 3 to the one before it. Find the for
Sauron [17]

Answer:

C

Step-by-step explanation:

The sequence is arithmetic with n th term

a_n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 3, thus

a_{n} = 1 + 3(n - 1) = 1 + 3n - 3 = 3n - 2 → C

6 0
3 years ago
Write a point slope equation for -5/7 using the coordinates (6,2)
sleet_krkn [62]

Answer:

(13, -3)

Step-by-step explanation:

slope = -5/7

(6,2)  

m = ( y2 - y1) / ( x2 - x1 )

-5/7 = ( y2 - 2) / ( x2 - 6 )

   

    -5 = y2 -2

        +2        +2

        -3 = y2


      7 = x2 - 6

    +6         +6

      13 = x2


Check answer again by log them in:

m = ( y2 - y1 ) / ( x2 - x1 )

m = ( -3 - 2 ) / ( 13 - 6 )

m = -5 / 7


I hope this helps!

7 0
3 years ago
The Frostburg-Truth bus travels on a straight road from Frostburg Mall to Sojourner Truth Park. The mall is 3 miles west and 2 m
Verizon [17]
To start, write your locations as points, with north and south being positive and negative y respectively and east and west being positive and negative x respectively. Doing this gives us the mall at (-3,-2) and the park at (4,5). Now, we use our distance formula ( \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 } ) to solve for the unknown distance. Plugging in with the park values as our second values and our mall values as our first values (as well as with our unknown distance as d), we get d= \sqrt{(4-(-3))^2+(5-(-2))^2} = \sqrt{(7)^2+(7)^2} = \sqrt{49+49} = \sqrt{98}. This square root can be rounded to 9.9 miles.
4 0
3 years ago
What is the area of △ABC?
kirza4 [7]
Answer:
Area = 492.4 m²

Explanation:
The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between these two sides)

This rule is illustrated in the attached image.

Now, we have:
AB = 40 m
BC = 25 m
angle B which is the angle included between AB and BC = 80 degrees

The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5*40*25*sin(80)
Area of triangle = 492.4 m²

Hope this helps :)

3 0
3 years ago
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