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myrzilka [38]
2 years ago
12

The formula for the area of a triangle is , where b is the length of the base and h is the height.

Mathematics
2 answers:
lilavasa [31]2 years ago
8 0

Answer:

5 units

Step-by-step explanation:

area of triangle = (base × height) ÷ 2 or a = (bh)/2

30 = (12 × h)/2

Isolate the variable

30 × 1/12 = (12 × h)/2 × 1/12

Multiplying 1/12 on both sides cancels out the 12 on the right side and transfers it to the left side

2.5 = h/2

2.5 × 2 = h/2 × 2

Multiplying 2 on both sides cancels out the 1/2 on the right side and transfers it to the left side

5 = h

Alex2 years ago
6 0

Answer:

h = 24

Step-by-step explanation:

A =  1/2 b x h

30 = 12/2 x h

30 =  6 x h

-6     -6

24 = h

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(x2 + 4)(x2 - 4) please help
VikaD [51]

(x^{2} + 4)(x^{2} - 4)

To solve this question you must FOIL (First, Outside, Inside, Last) like so

First:

(x^2 + 4)(x^2 - 4)

x^2 * x^2

x^4

Outside:

(x^2 + 4)(x^2 - 4)

x^2 * -4

-4x^2

Inside:

(x^2 + 4)(x^2 - 4)

4 * x^2

4x^2

Last:

(x^2 + 4)(x^2 - 4)

4 * -4

-16

Now combine all the products of the FOIL together like so...

x^4 - 4x^2 +4x^2 - 16

Combine like terms:

x^4 - 4x^2 +4x^2 - 16

- 4x^2 +4x^2 = 0

x^4 - 16 <<<This is your answer

Hope this helped!

~Just a girl in love with Shawn Mendes

4 0
3 years ago
Oh no! Thomas is lost in the GGBL building after an exam, and trying to get out. Thereare four identical hallways leading away f
Brums [2.3K]

Answer:

Check the explanation

Step-by-step explanation:

Since each and every one of the 4 hallways is equally likely then

P(H1)=1/4P(H2)=1/2P(H3)=1/4

Now, if he chooses H1 he escapes after 12 minutes then

E(T|H1)=12

If he chooses H2 then he wastes 10 minutes and then he is again in the same starting

position so he expects to escape in E(T) minutes, then

E(T|H2)=10+E(T)

Analogously, if he chooses H3 then he wastes 40 minutes and then he is again in the same starting

position so he expects to escape in E(T) minutes, then

E(T|H3)=40+E(T)

Therefore

E(T) = E(T|H1)P(H1) + E(T|H2)P(H2) + E(T H3)P(H3) = (12) + (E(T) +10) + (E(T) + 40) = 3+ *E(T)+5+ 10 = E(T) +18 CON A'

So we have

E(T) = E(T) + 18 E(T) = 18 E(T) = 4(18) = 72

Therefore he is expected to escape in 72 minutes

7 0
3 years ago
8 times the square of a nonzero number is equal to 96 times the number. What is the number?
Bingel [31]
8x^2 = 96x
8x^2 - 96x = 0
8x(x - 12) = 0

8x = 0....x = 0

x - 12 = 0
x = 12

ur number is 12

5 0
3 years ago
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Dahasolnce [82]

Answer: 75.8

Step-by-step explanation:

6 0
2 years ago
How was pre-image ABC transformed to create image AꞌBꞌCꞌ? A. 90° clockwise rotation around point C B. reflection over segment BC
slava [35]
<span>There are 4 main transformations: Rotation, Translation, Dilation and Reflection. Reflection is a transformation: flipping an object about a line. Reflection is distance-preserving transformation. The image has the same size as the original image ( in this case: ABC = A`B`C` ).The central line is called mirror line and here it is line BC. Answer: B. Reflection over segment BC.</span>
7 0
3 years ago
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