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maria [59]
2 years ago
13

Which states the following?

Mathematics
1 answer:
Paul [167]2 years ago
3 0

Answer: its always

Step-by-step explanation:

If a point lies  in between  two end points of a line then the sum of distance between the points in between is always equal to the whole line.

If A is in between two points B and C then the sum of line segments BA and AC will always equal to the length of BC.

Or BA+AC=BC in all cases whatever be the position of point A between the points Band C.

Always is the right option.

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The diagrams shows a 3cm x 5cm x 4cm cuboid.
Vera_Pavlovna [14]

Answer:

a) 5.83 cm

b) 34.45°

Step-by-step explanation:

a) From Pythagoras theorem of right triangles, given right triangle ABC:

AB² + BC² = AC²

Therefore:

AC² = 5² + 3²

AC² = 25 + 9 = 34

AC = √34

AC = 5.83 cm

b) From triangle ACD, AC = 5.83 cm, AD = 4 cm and ∠A = 90°.  

From Pythagoras theorem of right triangles, given right triangle ACD:

AD² + AC² = DC²

Therefore:

DC² = 5.83² + 4²

DC² = 34 + 16 = 50

DC = √50

DC = 7.07 cm

Let ∠ACD be x. Therefore using sine rule:

\frac{4}{sin(x)}=\frac{7.07}{sin(90)} \\ sin(x)=\frac{4*sin(90))}{7.07}=0.5657\\ x=sin^{-1}(0.5657)\\x=34.45^o

6 0
3 years ago
You offer to do the dishes for your family for the next month. You suggest that they can pay you in one of three ways.
Sophie [7]

Answer:

I say number 2

Step-by-step explanation:

0.02 is 2 cents while 0.20 is twenty sense. That would make more sense

5 0
3 years ago
Read 2 more answers
If you spin the spinner 10 times, what is the best prediction possible for the number of times it will land on blue
Alexus [3.1K]

Answer:

It depends on how many other colors there are

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The population of a certain country is expected to double every 32 years. The population of this country was 4.2 million people
mojhsa [17]

Answer:

2.2%

Step-by-step explanation:

Given the following :

Population in year 2000 (A) = 4.2 million

Expected population every 32 years = 2 *A

The growth rate per year =?

The population figure after 32 years = (2 * 4.2 million) = 8.4 million

Using the exponential growth formula :

P(t) = A × (1 + r)^t

(1 + r) = g = Total growth percent

A = Initial population

t = time

P(t) = 8.4 million

8,400,000 = 4,200,000 × g^32

g^32 = (8400000/4200000)

g^32 = 2

Taking the root of 32 on both sides

g = 1.02189714865

g = (1 + r)

1.02189714865 = 1 + r

r = 1.02189714865 - 1

r = 0.02189714865

.rate = 0.02189714865 * 100

= 2.18971486541%

= 2.2% ( nearest tenth)

4 0
3 years ago
Which expressions below are equivalent to
Yuri [45]

Answer:

<h2>A, B, D, E</h2>

Step-by-step explanation:

2(2x + 1) = (2)(2x) + (2)(1) = 4x + 2 → A

<em>used distributive property</em>

2(2x + 1) = 2(1 + 2x) → B

<em>used commutative property</em>

2(2x + 1) = (2x + 1) + (2x + 1) = 2x + 1 + 2x + 1 → D

<em>used 2a = a + a</em>

2(2x + 1) = 4x + 2 = x + x + x + x + 1 + 1 → E

<em>used 4x = x + x + x + x and 2 = 1 + 1</em>

6 0
3 years ago
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