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iren2701 [21]
3 years ago
10

Hellppp what statement is true???

Mathematics
1 answer:
miss Akunina [59]3 years ago
8 0
I’m not sure, I think the second
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The height of a triangle is 8 centimeters greater than half its base. The area of the triangle is 48 square centimeters what is
emmainna [20.7K]

Answer:

base = 8 cm

height = 12 cm

Step-by-step explanation:

We will need the formula for area of a trianlge, which is

A = (1/2)bh    where b is the base, and h is the height

We are given two formulas...

"The height of a triangle is 8 centimeters greater than half its base" becomes

  h = (1/2)b + 8

"The area of the triangle is 48 square centimeters" becomes

48 = (1/2)bh

Plug the first formula into the second to solve for h

48 = (1/2)b[(1/2) + 8]             (h becomes (1/2)b + 8)

Now solve for b

48 = (1/4)b² + 4b

**This is a quadratic euquation.  Solve using factoring...

(1/4)b² + 4b - 48 = 0       (subtract 48 from both sides)

b² + 16b - 192  =  0       (multiply by 4 so b² is by itself, it's easier to factor this way)

Now factor...

(b + 24)(b - 8) = 0       (you need two numbers that add to 16 and multiply to -192)

Set each binomial equal to zero and solve for b

b + 24 = 0          

    b = -24    

**this anwser is not valid because b is a length, and you can't have negative length

b - 8 = 0

  b = 8        

Since the other solution is invalid, the base is b

If the base is b, then the height is...

h = (1/2)b + 8

 

   h = (1/2)(8) + 8

     h = 4 + 8

 

         h = 12

8 0
3 years ago
Find the next three terms of the arithmetic sequence 5, 9, 13, 17, … .
Marizza181 [45]
Hi there!

The answer is D. 21, 25, 29

The arithmetic sequence has a pattern of +4. From 17 you add 4, resulting to 21 and you continue.


Hope this helps !
6 0
3 years ago
What is the solution to (4x – 23) 2 – 3 = 2?
deff fn [24]

Step-by-step explanation:

(4x-23)2-3=2

(4x-23)(-1)=2

4x-23= -2

4x= -2+23

=21

x=21/4

=5.2

4 0
3 years ago
What is 42 inches to 9 feet is a fraction in simplest form
hodyreva [135]
9 times 12 is 108. so 42/108=21/54
4 0
3 years ago
What is the missing reason in the proof?
Tresset [83]
A. segment addition
3 0
2 years ago
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