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qwelly [4]
3 years ago
7

Evaluate the formula of A=lw, for l=10.8 cm and w=2.5 cm​

Mathematics
1 answer:
Setler [38]3 years ago
8 0

Answer:

A = 27 cm²

Step-by-step explanation:

A = lw\\Where, l=10.8 cm , w = 2.5 cm\\

Putting in the above formula

A = (10.8)(2.5)

A = 27 cm²

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Rotate RST 90° counterclockwise around the origin.<br>​
Nostrana [21]

The image of the triangle RST when rotated 90° counterclockwise around the origin is (-15,5), (-15,15) and (-5,10)

<h3>
How to rotate the triangle?</h3>

The coordinates of RST are given as:

R = (5,15)

S = (15,15)

T = (10,5)

The rule of 90° counterclockwise around the origin is:

(x,y) -> (-y,x)

So, we have:

R' = (-15,5)

S' = (-15,15)

T' = (-5,10)

Hence, the image of the triangle when rotated 90° counterclockwise around the origin is (-15,5), (-15,15) and (-5,10)

Read more about rotation at:

brainly.com/question/4289712

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4 0
2 years ago
What is the equation of the line that is parallel to the line x = –2 and passes through the point (–5, 4)?x = –5x = 4y = –5y = 4
Rainbow [258]

x = -5 is the equation of the line that is parallel to the line x = –2 and passes through the point (–5, 4)

<em><u>Solution:</u></em>

Given that, we have to write the equation of line that is parallel to line x = -2 and passes through point (-5, 4)

From given,

The equation of the line in standard form is x = -2

<em><u>This is a vertical line, so the parallel line will also be a vertical line of the form:</u></em>

x = a

Since we are given that the line should pass through the point (-5, 4)  then the equation of the line is:

x = -5

Thus the equation of line is found

3 0
3 years ago
Read 2 more answers
A delivery truck is transporting boxes of two sizes : large and small. The large boxes weigh 45 pounds each, and the small boxes
s344n2d4d5 [400]

Answer:

we have 60 large boxes and 50 small boxes.

Step-by-step explanation:

First, "boxes of two sizes" means we can assign variables:

  Let x = number of large boxes

       y = number of small boxes

Now, "There are 110 boxes in all"    means    x + y = 110

Now, the pounds for each kind of box is:

    (pounds per box)*(number of boxes)

pounds for large boxes     +    pounds for small boxes      =    4200pounds

                 "the truck is carrying a total of 4200 pounds in boxes"

 

        (45)*(x)                   +              (30)*(y)                  = 4200

Now, Solve for one of the variables in the first equation then replace (substitute) the expression for that variable in the second.  Let's solve for x:

   x = 110 - y          [from eq1]

 

    45(110-y) + 30y = 4200            [from eq2]

     4950 - 45y  + 30y= 4200         [distribute]

     4950 - 15y = 4200

      -15y = -750

         y = 50           [divide both sides by (-15)]

 

 There are 50 small boxes.

 

Put that value into either equation (now, which is easier?) to solve for x:

  x = 110 - y

  x = 110 - 50

  x = 60

 There are 60 large boxes.

Now, let's verify our solution:

 

Is   60+50= 110 ?       [eq1]

         110 = 110 ? yes!

Is  60(45) + 50(30) = 4125   ?

     2700 + 1500 = 4200 ?

       4200 = 4200 ? yes

So we have 60 large boxes and 50 small boxes.

6 0
2 years ago
Read 2 more answers
Why is 4.125 + the square root of 3 irrational
Citrus2011 [14]

Answer:

The square root of 3 is the positive real number that, when multiplied by itself, gives the number 3. ... It is denoted by √3. The square root of 3 is an irrational number.

Step-by-step explanation:


7 0
3 years ago
5 tons of fertilizer cost $14,100.00. What is the price per pound?
aivan3 [116]

Answer:

$2,820

Step-by-step explanation:

$14,100.00 / 5= $2,820

8 0
3 years ago
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