How many sentences are in 3 paragraph.

Mathematics

2 answers:

masya89 [10]3 years ago

6 0

There is 15 sentence in 3 paragraph

wolverine [178]3 years ago

3 0

Depends on your paragraphs, but a good paragraph should have at least 5 sentences. That would mean 3 paragraphs would have 15 sentences.

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Find four consecutive positive integers such that the product of the first and fourth is four less than twice the first multipli

r-ruslan [8.4K]

Four consecutive integers... n, n+1, n+2, n+3.

The product of the 1st and 4th is four less than twice the 1st multiplied by the 4th.

n(n+3)=2n(n+3)-4 perform indicated multiplications...

n^2+3n=2n^2+6n-4 subtract n^2 from both sides

3n=n^2+6n-4 subtract 3n from both sides

n^2+3n-4=0 factor

n^2-n+4n-4=0

n(n-1)+4(n-1)=0

(n+4)(n-1)=0, and since n>0

n=1

So the four numbers are 1, 2, 3, 4

check...

1(4)=2(1)4-4

4=8-4

4=4

3 0

3 years ago

ANSWER THE QUESTIONS PLEASE IT IS ON BEARING

artcher [175]

9514 1404 393

Answer:

(i) x° = 70°, y° = 20°

(ii) ∠BAC ≈ 50.2°

(iii) 120

(iv) 300

Step-by-step explanation:

(i) Angle x° is congruent with the one marked 70°, as they are "alternate interior angles" with respect to the parallel north-south lines and transversal AB.

x = 70

The angle marked y° is the supplement to the one marked 160°.

y = 20

(ii) The triangle interior angle at B is x° +y° = 70° +20° = 90°, so triangle ABC is a right triangle. With respect to angle BAC, side BA is adjacent, and side BC is opposite. Then ...

tan(∠BAC) = BC/BA = 120/100 = 1.2

∠BAC = arctan(1.2) ≈ 50.2°

(iii) The bearing of C from A is the sum of the bearing of B from A and angle BAC.

bearing of C = 70° +50.2° = 120.2°

The three-digit bearing of C from A is 120.

(iv) The bearing of A from C is 180 added to the bearing of C from A:

120 +180 = 300

The three-digit bearing of A from C is 300.