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Luden [163]
2 years ago
5

Find the area of the triangle with height (x+8) and base (2x+4). (A=1/2bh)

Mathematics
1 answer:
omeli [17]2 years ago
7 0

Answer:

x^2+10x+16

Step-by-step explanation:

Plug in the values

h=x+8

b=2x+4

A=1/2(2x+4)(x+8)

A=(x+2)(x+8)

FOIL: x^2+8x+2x+16

A=x^2+10x+16

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Find the length of a rectangle with a diagonal of 10 and a height of 8.
Dmitry_Shevchenko [17]

Answer:

The length of the rectangle is 6.

Step-by-step explanation:

Given: The diagonal of a rectangle is 10 and the height is 8.

Please understand, that a diagonal, divides the rectangle into two tringles.

To find the length of the rectangle, you can use Pythagoras on one of the right sided triangles, because the length of the triangle, is also the length of the rectangle!

<em>EXTRA:</em>

<em>If</em><em> you know the special 3 4 5 triangle, a so called Pythagorean Triple, then you can "see" the simularity between the numbers.</em>

<em>Instead of 5, a diagonal of 10 is given (factor of 2 bigger).</em>

<em>Instead of 4, the height of 8 is given (factor of 2 bigger</em><em>)</em><em>.</em><em> </em><em>By scaling the Pythagorean Triple 3 4 5 by a factor of 2, you get the numbers 6 8 10. Could it be, that the number we need to find, is six?</em>

Try to verify, by calculating the missing number (which is the length of the rectangle we are looking for).

a² + b² = c²

a = length (and is unknown)

b = height = 8

c = hypothenusa/diagonal = 10

Substitute the numbers given:

a² + 8² = 10²

Subtract 8² left and right of the = sign.

a² +8² -8² = 10² - 8²

a² + 0 = 100 - 64

a² = 36

a = + - √36

a = + - 6

<em>EXTRA</em><em>:</em>

<em>You</em><em> can ignore the -√36 = -6 part of the solution, because a length of -6 has no meaning here.</em>

a = 6

So, the length of the triangle is 6 and thus, the length of the rectangle is also 6.

8 0
3 years ago
A man travels 13.2 by train, 45.07 by bicycle, and 17.2 by car. How far did he 5 travel?​
Nuetrik [128]

Answer:

75.47

Step-by-step explanation:

<em>Hey there !!!!!</em>

<em>to, see how much did the man travel in total. you just add all of the distances that the man traveled.</em>

<em>he traveled:</em>

<em>13.2  by tairn</em>

<em>45.07 by bicycle </em>

<em>17.2 by car </em>

<em>if you add all of them up :</em>

<em>45.07 + 13.2 = 58.27 </em>

<em>58.27 + 17.2 = 75.47</em>

<em>have a wonderful day </em>

8 0
3 years ago
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V125BC [204]

Answer: D

Step-by-step explanation:

6 0
3 years ago
If 3 oranges cost $1.75, how much<br> would 20 oranges cost?
olya-2409 [2.1K]

Answer:

$12

Step-by-step explanation:

1.75/3= 0.6 (1dp)

0.6 x 20 = 12

5 0
2 years ago
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Algebra 2 help!!!!!!
Elza [17]
Yes here multiply takes place not divide
7 0
2 years ago
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