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Pachacha [2.7K]
3 years ago
10

Find the exact value of each of the following using half-angle formulas:

Mathematics
1 answer:
Zanzabum3 years ago
5 0

Answer:

2+under root 3 is the correct answer

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Please help!!!!!!!!!!
Gnoma [55]

Answer:

The surface of the prism is 84m²

Step-by-step explanation:

You have 4 figures here (two the same triangles)

you need to determine the surface of each and then sum it to one. This will be your final surface.

rectangles:

3*6= 18m²

5*6 = 30m²

4*6 = 24m²

triangles:

You need to determine the square of the triangles from the Heron's formula.

Heron's formula states that the area of a triangle whose sides have lengths a, b, and c is

S=\sqrt{s(s-a)(s-b(s-c)},

where s is the semi-perimeter of the triangle; that is,

s=\frac{a+b+c}{2}.

So the permimeter of the triangle is

2p=4+5+3 = 12m

p = 6m

S = \sqrt{p*(p-a)*(p-b)*(p-c)}  = \sqrt{6*(6-3)*(6-4)*(6-5)}  = \sqrt{6*3*2*1} =\sqrt{36} =6[m^{2} ]

So the surface of the prism is a total sum of all surfaces:

P = 18m²+30m²+ 24m²+2*6m² = 84m²

6 0
2 years ago
Find the perimeter of the following shape, round to the nearest tenth
dybincka [34]

Answer: you take the slope of the lines rise over run and add together

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Suppose the cost of electricity is $0.03 for each kilowatt-hour. Carlos's house runs on 11.14 kilowatt-hours a day. Find the cos
irga5000 [103]
Answer: I think the answer is $33.42

Explanation: If it’s $0.03 for every hour and there is only 11.14 hours used a day just multiply 11.14 by .03 and you get .3342 then you move the decimal over 2 spaces to get 33.42
8 0
2 years ago
-(1+7x)-6(-7-x)=36 what is x equal to
Katyanochek1 [597]

Answer:

x = 5

Step-by-step explanation:

Step 1: Write equation

-(1 + 7x) - 6(-7 - x) = 36

Step 2: Solve for <em>x</em>

  1. Distribute: -1 - 7x + 42 + 6x = 36
  2. Combine like terms: -x + 41 = 36
  3. Subtract 41 on both sides: -x = -5
  4. Divide both sides: x = 5

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

-(1 + 7(5)) - 6(-7 - 5) = 36

-(1 + 35) - 6(-12) = 36

-(36) + 72 = 36

-36 + 72 = 36

36 = 36

5 0
3 years ago
SOMEONE PLSLPLSSLSLS HELP ITS JUST 3 QUESTIONS BRO PLEASE ITS SO CONFUSING ILL BRAINLIST.
Vinil7 [7]

Step-by-step explanation:

a) Perimeter is equal to 2w + 2L

2(3x + 4) + 2(x + 3)

6x + 8 + 2x + 6

8x + 14

b) Put 5 in x's place

8×5 + 14

40 + 14

54

c) Area = (3x + 4) * (x + 3)

Put 4 in x's place

(3×4 + 4) * (4 + 3)

12 + 4 * 7

16 * 7

112

5 0
2 years ago
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