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Nikitich [7]
3 years ago
15

What is the area of a triangle that has a base of 5 feet and a height of 12 feet

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
6 0
Hey there!

When we do the area of a triangle, we use the formula:

A = bh/2

With b as the base and h as the hight.

We'll get to why this formula works in a minute. If we plug in our given values into this formula, we get:

A = (5)(12)/2
A = 60/2
A = 30 feet squared

The reason why this formula works is simple. When you think of a triangle, do you ever think of it as half a rectangle? When we do the area of a rectangle, we sort of do base times height- we just do length times width. We find the area of the triangle as if it's a rectangle, and just divide it by 2 because it's half of a rectangle.

Hope this helps!

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Alexeev081 [22]

Step-by-step explanation:

-2.21z + 1.82a - 3.38

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4 0
3 years ago
What are the roots of the equation 4x^2+24x+45=0 in simplest a+bi form?
Serhud [2]

Answer:

X=(-1.5, 7.5)

Step-by-step explanation:

Simplifying

4x2 + -24x + -45 = 0

Reorder the terms:

-45 + -24x + 4x2 = 0

Solving

-45 + -24x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-3 + -2x)(15 + -2x) = 0

 

Set the factor '(-3 + -2x)' equal to zero and attempt to solve:

Simplifying

-3 + -2x = 0

Solving

-3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + -2x = 0 + 3

Combine like terms: -3 + 3 = 0

0 + -2x = 0 + 3

-2x = 0 + 3

Combine like terms: 0 + 3 = 3

-2x = 3

Divide each side by '-2'.

x = -1.5

Simplifying

x = -1.5  

Set the factor '(15 + -2x)' equal to zero and attempt to solve:

Simplifying

15 + -2x = 0

Solving

15 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.

15 + -15 + -2x = 0 + -15

Combine like terms: 15 + -15 = 0

0 + -2x = 0 + -15

-2x = 0 + -15

Combine like terms: 0 + -15 = -15

-2x = -15

Divide each side by '-2'.

x = 7.5

Simplifying

x = 7.5

Solution

x = {-1.5, 7.5}

7 0
3 years ago
A box contains 76 coins, only dimes and nickels. The amount in the box is $4.90. How many dimes and how many nickels are in the
dangina [55]

The number of dimes is 75 coins.

The number of nickels is 1 coin.

<u>Step-by-step explanation:</u>

It is given that,

A box contains 76 coins, only dimes and nickels.

  • The 10 cent coin is called a dime.
  • Let, the number of dimes be x.
  • The 5 cent coin is called a nickel.
  • Let, the number of nickels be y.

<u>This is represented by the system of equations :</u>

x + y = 76  -------(1)

10x + 5y = 4.90  ------(2)

Multiply eq (1) by 5 and subtract eq (2) from eq (1),

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x = 375/5

x = 75 coins.

The number of dimes is 75 coins.

Substitute x=75 in eq (1),

y = 76 - 75

y = 1 coin.

The number of nickels is 1 coin.

6 0
3 years ago
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.01 meter or 1/100 meter =<br><br> A. decimeter<br> B. centimeter<br> C. millimeter
tamaranim1 [39]

There are

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alexdok [17]

Answer:

3:4

Step-by-step explanation:

That ratio would be 12:16, or 3:4.

8 0
3 years ago
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