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VladimirAG [237]
3 years ago
14

I need help asap. thanks!

Mathematics
1 answer:
tiny-mole [99]3 years ago
4 0

Answer:

magnitude=4.47214

radicle form=20

please mark as brainliest:)

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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
4 years ago
If you travel at a rate of 45 mph how many minutes will you will it take you to travel 1 mile
stiks02 [169]
It'd take you<span>, 1 minute and 33 secounds.
45 miles = 60 minutes
1 mile = 60/45 = 4/3 = 1.33 minutes </span>
7 0
3 years ago
-1/3(24+3)-1<br> i need help please <br> it is 24 points
AysviL [449]
Um -1/3(24+3)-1 = -10

So -10 is the answer
7 0
3 years ago
Read 2 more answers
$12 per pizza how many pizzas can i get for $400
sergejj [24]

Answer:

$388

Step-by-step explanation:

subtract 400 and 12

(sorry if its wrong)

6 0
3 years ago
Are these proportional? 10 books for $4.50; 15 books for $6.00
umka2103 [35]

Answer:

no

Step-by-step explanation:

5 books are $2.50, mean that 10 books should only be $4.00 not $4.50. Also making the 15 for $6.00 only $5.50. All because 5 books would be $2.50.

3 0
3 years ago
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