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deff fn [24]
3 years ago
15

PLS HELP / EXPLAIN !!!!

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
5 0
Area of a triangle = \frac{1}{2} · base x height
                     180 = \frac{1}{2} · base x 40
                     180 = 20 · base
                        9  = base

Pythagorean Theorem:
base² + height² = hypotenuse²
  9²     +    40²    = hypotenuse²
 81     +   1600   = hypotenuse²
      1681            = hypotenuse²
     √1681           = √hypotenuse²
         41            = hypotenuse

Answer: the length of the hypotenuse is 41 m
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HELP QUICK ME QUICK PLEASE THANKS
GenaCL600 [577]
To solve this problem, we need to know the formula for the nth term of an arithmetic sequence. The formula is a_{n} = t₁ + (n-1)d, with a_{n} being the nth term, t₁ being the first term, and d being the distance between terms. Now we can substitute values to figure out what a_{n} is. When substituting, the equation becomes:

a_{n} = 12 + 29(-6)
a_{n} = -162

That means that the 30th term in this arithmetic sequence is -162. 
8 0
2 years ago
Read 2 more answers
What is the simplest form of 4a + 8b/12​<br> Step by step pls
shutvik [7]

Answer:

4a + 2b/3

Step-by-step explanation:

focus on 8b/12 first:

factor 8b/12 by 4 ---> 8b/12 = 4(2)b/4(3) ----> cancel 4 in the denominator and the nominator ---> 8b/12 = 4(2)b/4(3) = 2b/3

then, go back to 4a:

4a is in its simplest form, it can't be factor

therefore, plus 4a and 2b/3 = 4a + 2b/3

5 0
3 years ago
What are the first 5 multiples of 150
anzhelika [568]

Answer:

150, 300, 450, 600, 750

Step-by-step explanation:

3 0
3 years ago
( – 1, – 5) 7x+2y=13, 4x+4y=14
serious [3.7K]

Answer:

{x,y} = {6/5,23/10}

Step-by-step explanation:

 [1]    7x + 2y = 13

  [2]    4x + 4y = 14  <---------- linear equations given

Graphic Representation of the Equations : PICTURE
2y + 7x = 13        4y + 4x = 14  

Solve by Substitution :

// Solve equation [2] for the variable  y

[2]    4y = -4x + 14

[2]    y = -x + 7/2

// Plug this in for variable  y  in equation [1]

  [1]    7x + 2•(-x +7/2) = 13

  [1]    5x = 6

// Solve equation [1] for the variable  x

  [1]    5x = 6

  [1]    x = 6/5

// By now we know this much :

   x = 6/5

   y = -x+7/2

// Use the  x  value to solve for  y

   y = -(6/5)+7/2 = 23/10

// Plug this in for variable  y  in equation [1]

 [1]    7x + 2•(-x +7/2) = 13

  [1]    5x = 6

// Solve equation [1] for the variable  x

 [1]    5x = 6

[1]    x = 6/5

// By now we know this much :

   x = 6/5

   y = -x+7/2

// Use the  x  value to solve for  y

  y = -(6/5)+7/2 = 23/10

4 0
2 years ago
A rectangle has a length of (x + 4) centimeters and a width of 12x centimeters. If the perimeter is 26 centimeters, what is the
mars1129 [50]

Width of rectangle is 8.4 cm

Step-by-step explanation:

Length of rectangle = x+4

Width of rectangle = 12x

Perimeter = 26 cm

We need to find width of rectangle.

The formula used is:

Perimeter=2(length+width)

Putting values and finding x first:

Perimeter=2(length+width)

26=2(x+4+12x)

26=2(13x+4)

26=26x+8

26-8=26x

26x=18

x=\frac{18}{26}

x=0.7

So, value of x is 0.7

Now width= 12x = 12(0.7)

=8.4 cm

So, width of rectangle is 8.4 cm.

Keywords: Perimeter of Rectangle

Learn more about perimeter of rectangle at:

  • brainly.com/question/6564657
  • brainly.com/question/6594923
  • brainly.com/question/1822996

#learnwithBrainly

5 0
2 years ago
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