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DiKsa [7]
3 years ago
7

The attic floor, ABCD in the model, is a square. The beams that support the roof are the edges of a block (rectangular prism) EF

GHKLMN. E is the middle of AT, F is the middle of BT, G is the middle of CT and H is the middle of DT. All the edges of the pyramid in the model have length 12m.
Calculate the area of the attic floor ABCD.
Mathematics
1 answer:
erastova [34]3 years ago
8 0

Answer:

<u>The area of ABCD = 12² = 12 * 12 = 144 m²</u>

Step-by-step explanation:

Given that ABCD in the model, is a square.

All the edges of the pyramid in the model have length 12m.

So, the length of one side of the square = 12 m

The area of the square = (side length)²

∴ the area of ABCD = 12² = 12 * 12 = 144 m²

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Write x2 - 8x + 13 = 0 in the form (x - a)2 = b, where a and b are integers. a.)(x - 4)2 = 3 b.) (x - 3)2 = 2 c.)(x - 2)2 = 1 d.
loris [4]
The answer is <span>a.)(x - 4)2 = 3.

(x - a)</span>² = b can be expressed as:
x² - 2ax + a² = b                                 ⇒ x² - 2ax + a² - b = 0

Our equation is                x² - 8x + 13 = 0.
The general formula is    x² - 2ax + (a² - b) = 0

Thus:
8x = 2ax    and a² - b = 13

Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a           ⇒ a = 8 ÷ 2 = 4

Replace a in the second equation (a² - b = 13):
4² - b = 13     ⇒ b = 4² - 13 = 16 - 13 = 3

Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3
4 0
3 years ago
Choices;<br> a) 21.8°<br> b) 35.2°<br> c) 45.1°
kifflom [539]

Answer:

\displaystyle a) \: {x}^{ \circ}  =  21.8 ^{ \circ}

Step-by-step explanation:

we are given opposite and adjacent

we want to figure out x°

remember that,

\displaystyle \: \tan( \theta)  =  \frac{opp}{adj}

where our opp is 5 and adj is 12.5

let \theta be x°

so

\displaystyle \: \tan(  {x}^{ \circ} )  =  \frac{5}{12.5}

\displaystyle \: {x}^{ \circ}  =  \arctan \left( \frac{5}{12.5}  \right)

by using calculator

\displaystyle \: {x}^{ \circ}  =  21.8

hence,

our answer is a

6 0
3 years ago
I need help with this please
yKpoI14uk [10]
D since it looks pretty difficult
5 0
3 years ago
5-|n-1|=-2<br><br> | | stands for absolute value
BlackZzzverrR [31]

Answer:

n = 8 or n = −6

Explanation:

First, isolate the absolute value:

5 − |n − 1| = −2

7 − |n − 1| = 0

7 = |n − 1|

Then, split this into two equations, since the result of the absolute value could be positive or negative:

7 = n − 1                           7 = −(n − 1)

8 = n                                7 = −n + 1

                                       n = −6

4 0
2 years ago
Read 2 more answers
2b−15&gt;21? How do I do this and what is the answer???
Mashcka [7]
2b - 15 > 21

add 15  to both sides:

2b-15+15 > 21 + 15

2b > 36

Divide both sides by 2 :

2b/2 > 36/2

2b = 36

b = 36 / 2

b > 18

hope this helps!

4 0
3 years ago
Read 2 more answers
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