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vovikov84 [41]
3 years ago
11

Solve for the value of z

Mathematics
2 answers:
faust18 [17]3 years ago
6 0

Answer:

26

Step-by-step explanation:

The sum of two angles on a line is 180.

(4z-8) + (3z+6) = 180

Now we may simplify this equation.

7z - 2 = 180

7z = 182

z = 182 ÷ 7

z = 26

zloy xaker [14]3 years ago
3 0

Answer:

  26

Step-by-step explanation:

The two angles shown are a linear pair. Their sum is 180°.

  (4z -8)° +(3z +6)° = 180°

  7z = 182 . . . . . . . . . divide by °, add 2

  z = 26 . . . . . . . . . . divide by 7

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Amy can only fit a dozen sticky buns on a tray. If she bakes 114 buns, how many complete trays will she have? I need hel with th
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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. x
miskamm [114]

Answer:

\frac{784}{15} \pi

Step-by-step explanation:

According to the given situation, the calculation of volume of the solid is shown below:-

Here we will consider the curves that is

x = 7y^2, x = 7

Now, rotating the line for the line x which is equals to 7

7y^2 = 7\\\\y^2 = 1\\\\ y = \pm1

So, the inner radio is

7 - 7 = 0

and the outer radius is

7y^2 - 7\\\\ = 7(y^2 - 1)

Now, the area of cross section is

A(y) = \pi(7(y^2 - 1))^2\\\\ = 49\pi(y^4 - 2y^2 + 1)

The volume is

V = \int\limits^1_{-1} A(y)dy

now we will put the values into the above formula

= \int\limits^1_{-1} 49\pi(y^4 - 2y^2 + 1)dy\\\\ = 49\pi(\frac{y^5}{5}  - \frac{2y^3}{3} + y)^{-1}\\\\ = 49\pi(\frac{1}{5} - \frac{2}{3}  + 1 + \frac{1}{5} - \frac{2}{3} + 1)\\\\ = 49\pi(2 + \frac{2}{5} - \frac{4}{3} )\\\\ = 49\pi(\frac{30+6-20}{15} )\\\\ = \frac{49\pi}{15} (16)

After solving the above equation we will get

= \frac{784}{15} \pi

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4 years ago
A rectangle has a height of 4 and a width of 2x^2- 2.
Mekhanik [1.2K]

Answer:

  2

2 − 4

Step-by-step explanation:

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