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Amiraneli [1.4K]
3 years ago
7

HELP MIDDLE SCHOOL QUESTION

Mathematics
1 answer:
cupoosta [38]3 years ago
6 0

Answer:

0.421

Step-by-step explanation:

There are two diagrams, one for 0.137, and one for 0.284.

I'll go place by place from least to greatest.

First, add 7 thousandths and 4 thousandths.

That will equal 11 thousands. That's greater than 9, so add 1 hundredth to the equation.

(0.1 + 0.2) + (0.03 + 0.08 + 0.01) + 0.001

Now, add 3 hundredths and 8 hundredths.

That will equal 11 hundredths. Add the other hundredth from the regrouping of the thousands for 12 hundredths. That is also greater than 9, so add 1 tenth to the quation

(0.1 + 0.2 + 0.1) + 0.02 + 0.001

Then, add 1 tenth and 2 tenths.

That will equal 3 tenths. Add the other tenth from the regrouping of the hundredths to get 4 tenths.

0.4 + 0.02 + 0.001

Now add 0.4, 0.02, and 0.001.

0.42 + 0.001

0.421

The answer to 0.137 + 0.284 equals 0.421.

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The angle of elevation of the top of a tower from a point 42 metres away from it's base on level ground is 26 degrees. find the
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Answer:

20.485 Meters

Step-by-step explanation:

So first you wanna draw a diagram.  Start with the tower, then on the ground to the left (or right) draw a point.  The point will be labeled as 42 m away from the tower.  Now draw a line from that point to the top of the tower.  This makes your triangle, and that angle you just drew that touches the point is 26 degrees.

Now, since you have a right triangle you can use trig.  You know an angle and a side.  Specifically, relative to the 26 degree angle you know the adjacent angle and want the opposite, which is the tower.  So opposite and adjacent is tangent.  So you set up tan(26) = o/42 where o is the opposite side.  

So solving you get o = 20.485 meters

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2(4x – 3) ≥ –3(3x) + 5x?Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
nika2105 [10]

Answer:

x<=-1/2

Step-by-step explanation:

An inequality is a mathematical relationship that compares two unequal numbers using the number line

To solve the inequality 2x – 6 ≥ 6(x – 2) + 8

We first simplify both sides of the inequality

2x-6≥6x-12+8

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Sign changes when we divide both sides of equation by a negative sign

x<=-1/2

Therefore x is less than or equal to -1/2 on the number line

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