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divide 352 into a ratio of 5:11

5 + 11 = 16352/16 = 2222 x 5 = 11022 x 11 = 242therefore the answer is 110 and 242

Answered by Paul Z. • Maths tutor

2145 Views

A scalene triangle ABC has side lengths AB=6cm, BC=4cm, and AC=x cm. The angle A, opposite BC, is 40 degrees and the angle B, opposite AC, is 50 degrees. State the sine rule and use it to find the value of x to 3 s.f.

The sine rule states that for any scalene triangle ABC the following equation holds: BC/sin(A) = AC/sin(B) = AB/sin(C).[Draw a diagram.] By drawing the triangle and substituting ...

Answered by Thomas C. • Maths tutor

2946 Views

Factorise 3𝑝𝑞4 − 12𝑞2𝑝6 fully.

3pq⁴- 12q²p⁶ = 3(pq⁴-4q²p⁶) = 3p(q⁴-4q²p⁵) = 3pq²(q²-4p⁵)

Answered by Ellica M. • Maths tutor

1801 Views

Adam gets a bonus of 30% of £80. Katy gets a bonus of £28. Work out the difference between the bonus Adam gets and the bonus Katy gets.

Adam = 30% x £80 = 0.3 x 80 = £24 bonusKaty = £28 bonus£28 - £24 = £4Therefore, there's a £4 difference between the bonus Adam gets and the bonus Katy gets.

Answered by Ellica M. • Maths tutor

9902 Views

(x+2)(x-3) expand and simplify

A key algebraic technique for double brackets is FOILx^2 -3x + 2x -6simplify furtherx^2 -x -6can check by factorisingthe integers adds to make "the number" and multiply to make "the x"...

Answered by Grace F. • Maths tutor

2244 Views