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3 years ago

Find the value of a.B.find the value of the marked angles

Mathematics

1 answer:

Bond [772]3 years ago

8 0

Answer:

a. 18 b. 119°, 118°

Step-by-step explanation:

a. Given angles are vertical, so they are equal.

6a+11 = 2a+83

6a-2a = 83-11

4a = 72

a = 72/4

a = 18

b. Substituting the value of a in the given angles,

6a+11 = 6*18+11 = 108+11 = 119°

2a+83 = 2*18+83 = 36+83 = 118°

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Ronch [10]

Answer:

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Step-by-step explanation:

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2 years ago

When adding or subtracting with scientific notation,why is it important to have the same power of 10?

sladkih [1.3K]

<h2>Explanation:</h2><h2></h2>

Because we perform something like common factor, so this guarantee that corresponding digits have regarding coefficients have the same place value. Remember that a number written in scientific notation is given by the product of a number between 1 and 10 and another number that is power of 10. For example, let's write two examples about this:

Addition:

$a=2\times 10^3 \\ \\ b=4\times 10^3 \\ \\ \\ Then: \\ \\ a+b=2\times 10^3+4\times 10^3 \\ \\ =(2+4)\times 10^3 \\ \\ =5\times 10^3$

Addition:

$a=2\times 10^3 \\ \\ b=4\times 10^3 \\ \\ \\ Then: \\ \\ a+b=2\times 10^3+4\times 10^3 \\ \\ =(2+4)\times 10^3 \\ \\ =6\times 10^3$

Subtraction:

$a=7\times 10^5 \\ \\ b=2\times 10^5 \\ \\ \\ Then: \\ \\ a-b=7\times 10^5-2\times 10^5 \\ \\ =(7-2)\times 10^5 \\ \\ =5\times 10^5$

4 0

3 years ago

Plz help!!!<br> Solve 6 (u - 4) - 8 = -6 (-4u + 6) -2u<br> Combine like-terms before solving

Elan Coil [88]

Combining like terms:
First do the first part which is 6(u-4)-8, you first distribute 6 to u and -4, 6u-24-8
-24-8=-32, 6u-32
Second part the same thing , distribute -6 to -4u and 6, (negative times a negative equals a positive) 24u-36-2u
24u-2u=22u

Solving:
6u-32=22u-36
Subtract 6u on both sides, -32=16u-36
Add 36 on both sides, 4=16u
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8 0

3 years ago

The turn signal Car A blinks 7 times every 5 seconds. The turn signal on Car B blinks 5 times every 4 seconds. In one minute, ho

Black_prince [1.1K]

Answer: 6 - 10 blinks would probably be a reasonable target.

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Volume and surface area are often compared by manufacturers in order to maximize how much of something can go inside of a packag

notka56 [123]

We have no dimensions to work with. I'll pick some and try and comply with the conditions of the problem.

Suppose you have an object that is 14 by 22 by 27 cm. These three numbers have no common factor so they cannot be reduced any further, which is helpful for this problem.

Find the Volume
Volume

l = 27 cm
w = 14 cm
h = 22 cm

V = 27 *14 * 22
V = 8316 cm^3

Find the surface area
SA = 2*l*w + 2*l*h + 2*w*h
SA = 2*27*14 + 2*27*22 + 2*14*22
SA = 756 + 1188 + 616
SA = 2558

Just looking at these numbers The surface area is about 1/3 of the volume. I don't think this is always true.

$\frac{SA}{V} = \frac{2*L*W + 2*L*H + 2*W*H}{L*W*H}$

Another way to do this is to consider a cube which might give you a more useful result.

s = L = W = H all three dimensions are equal in a cube.
The volume of a cube is s*s*s = s^3
The surface area of a cube is 2*s*s + 2*s*s + 2s*s = 6s^2

$\frac{SA_cube}{V_cube} = \frac{6s*s}{s*s*s}$
$\frac{SA}{V} = \frac{6}{s}$

That means whatever the side length, the Surface Area to volume = 6/the side length which is kind of an interesting result.

4 0

2 years ago