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slava [35]
3 years ago
6

Help, this is confusing for me

Mathematics
1 answer:
garri49 [273]3 years ago
4 0

Answer:

B: 163,343

Step-by-step explanation:

V=πr²h 34²=1156, 1156×45=52020, 52020×3.14(π)=163,342.8, then round up.

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Solve. 90^x = 27. Explain every step.
DaniilM [7]

Answer:

The answer is ⇒ x = 0.73244

Step-by-step explanation:

∵ 90^x = 27 ⇒ insert log in both sides

∴ log(90)^{x}=log(27)

∵ 90 = 9 × 10 , 27 = 3³

∵ log(a)^<em>b</em> = <em>b</em><em> </em>log(a)

∴ log(9 × 10)^x = x log(9 × 10)

∴ xlog(9*10)=log(3^{3})

∵ log(a × b) = log(a) + log(b)⇒log(9 × 10) = log(9) + log(10)

∴ x[log(9)+log(10)]=3log(3)

∵ log(10) = 1 , 9 = 3²

∴ x[log(3)^{2}+1]=3log(3)

∴ x[2log(3)+1] = 3log(3)

∴ x = (3log3)/[2log(3)+1]

∴ x = 0.73244

3 0
3 years ago
Read 2 more answers
Write two equations. the first equation should express the area of the square (a as a function of the length (l of a side. the s
Sergeu [11.5K]

Answer:

a = l²

v = s³

Step-by-step explanation:

The area of a rectangle is the product of its length and width. When that rectangle is a square, the length and width are the same. Here, they are given as "l". Then the area of the square is ...

a = l·l = l²

__

The volume of a cuboid is the product of its height and the area of its base. A cube of edge length s has a square base of side length s and a height of s. Then its volume will be ...

v = s·(s²) = s³

The two equations you want are ...

• a = l²

• v = s³

6 0
3 years ago
Find the focus and directrix of y=4x^2
Mkey [24]

Hello there

the answer is

(0,1/16)


hope my answer helps

thank you !

5 0
3 years ago
Solve the right triangle. a = 2.2 m, B = 37.7°, C = 90° 4) A) A = 52.3°, b = 0.6 m, c = 2.3 m B) A = 52.3°, b = 1.7 m, c = 2.8 m
DENIUS [597]

Answer:

B) A = 52.3°, b = 1.7 m, c = 2.8 m

Step-by-step explanation:

We know that it is a right angle triangle because C = 90°

because of that we can do 180 - 90 + 37.7

which is a=52.3

Because it is a right angle triangle, we can use sin, cos,tan

I will use sin to find the side of c

2.2 is a

sin 52.3 = 2.2/x

x= 2.2/ sin 52.3

x=2.78

You could do cos or tan but the pythagorean theorem for me is much faster

so it looks like this, a^2+b^2 =c^2

in this case we have both a and c we want b

so we rearrange

c^2-a^2=b^2

2.78^2-2.2^2= b^2

\sqrt{2.89}=b

1.7=b

therefore it would be this option B) A = 52.3°, b = 1.7 m, c = 2.8 m

6 0
3 years ago
John, David, and Hank are brothers who's ages add to 114 years. John is 10 years older than half of Hank's age, while Hank is 6
ivanzaharov [21]

Answer:

The answer to your question is:

Hank = 44

John = 32

David = 38

Step-by-step explanation:

Data

John = J

David = D

Hank = H

J + D + H = 114

J = H/2 + 10

H = D + 6

Process

Write the three equations in terms of H

   

Substitution

             

                          H/2 + 10 + H - 6 + H = 114

Times 2              H + 20 + 2H - 12 + 2H = 228

                          5H + 8 = 228

                          5H = 228 - 8

                          5H = 220

                          H = 220 / 5

                          H = 44            Hank = 44 years

                    J = 44/2 + 10

                   J = 22 + 10

                   J = 32                 John = 32 years

                       

                          D = 44 - 6

                          D = 38           David = 38 years

                       

7 0
3 years ago
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