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Pavlova-9 [17]
3 years ago
15

10x-15=-8x+21 solve this equation

Mathematics
1 answer:
Natasha2012 [34]3 years ago
8 0

Answer:

x=2

Step-by-step explanation:

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The height of a tree trunk is 20 meters and the base diameter is 0.5 meter.
Temka [501]
Question a:

Mass = Density × Volume 
Density = Mass/Volume

Volume of the tree trunk (the shape of Cylinder) = Area of circular base × height
Volume = [πr²] × h
Volume = [π × 0.25²] × 20
Volume = 3.93 m³

Density = 380 kg/m³

Mass = Density × Volume
Mass = 380 × 3.93
Mass = 1493.4 kg

------------------------------------------------------------------------------------------------------------

Question b)

The growth ring = 4 millimeters = 4÷1000 = 0.004
New diameter = 0.5 + 0.004 = 0.5004
New height = 20 + 0.2 = 20.2

New volume = [πr²] × h
New volume = [π × 0.2502²] × 20.2
New volume = 3.97 m³



5 0
3 years ago
Help with these questions
balandron [24]

9514 1404 393

Answer:

  16) No

  17)  (c)

Step-by-step explanation:

For a lot of multiple-choice matrix problems, a simple test is all that is needed to determine the correct answer.

16) The determinant of A is (-2)(-2) -(2)(-3) = 10. So, we expect to see values in the inverse matrix that are 0.2 and 0.3. Alas, they're not there. The matrices are not inverses.

  A^-1 = [[-.2, .3][-.2, -.2]]

__

17) The matrices are both 3×3, so their product is possible (eliminates choice D). The upper left term is different among the answer choices, so we can determine the correct one by computing that term only.

  BA=C

  c11 = (5)(1) +(7)(5) +(3)(-1) = 5 +35 -3 = 37

This matches the third choice (C).

If you use a calculator to compute the full matrix product, it matches choice C in all details.

6 0
3 years ago
HELP PLEASE i just need the answer and if you could tell me how you did it I WILL GIVE 50 POINTS ​
lidiya [134]

Answer:

G 36

Step-by-step explanation:

Hope this helps. Pls give brainliest.

8 0
2 years ago
*PLEASE ANSWER* What is the area of minor sector AOB?
scoray [572]
<h3>Answer: Approximately 13 square units (choice B)</h3>

===========================================================

Explanation:

The given reflex angle is 215 degrees. A reflex angle is anything over 180 degrees, but less than 360. Subtract 215 from 360 to get the measure of angle AOB

angle AOB = 360 - 215 = 145

angle AOB = 145 degrees

We'll use this later.

Now find the area of the full circle. Use the formula A = pi*r^2. The radius is r = sqrt(10) which can be found through the distance formula or the pythagorean theorem. You want to find the length of either OA or OB to get the radius.

The area of the circle is

A = pi*r^2

A = pi*(sqrt(10))^2

A = 10pi

This is the exact area of the full circle, but we want just a fractional portion of it. Specifically we want the pie slice that is formed by angle AOB

area of sector AOB = [ (angle AOB)/360 ] * (area of full circle)

area of sector AOB = (145/360)*10pi

area of sector AOB = 145pi/36

area of sector AOB = 145*3.14/36

area of sector AOB = 12.647 approximately

area of sector AOB = 13 square units approximately, after rounding to the nearest whole number

3 0
3 years ago
Combine like terms to create an equivalent expression. -1/2(-3y+10)
andrew-mc [135]

Answer:

3/2y -5

Step-by-step explanation:

-1/2 (-3y+10)

Distribute

-1/2* -3y + -1/2*10

3/2y -5

5 0
3 years ago
Read 2 more answers
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