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In a triangle ABC, side BC = 8.1 cm, side AC = 7 cm, and angle ACB = 30 degrees. What is the area of the triangle?

Initially, one might think to use area = 1/2 x base x height, however drawing the triangle immediately shows that this is not possible here. We then think to use the formula for area using two adjacent si...

Answered by Ellie B. • Maths tutor

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Aled has three concrete slabs. Two of the slabs are square, with each side of length x metres. The third slab is rectangular and measures 1 metre by (x +1) metres. The three concrete slabs cover an area of 7m^2. Show that 2x^2 + x – 6 = 0. Find x.

For the first part of the question, we can firstly assume that the... area of slab 1 + area of slab 2 + area of slab 3 = total area, which we know to be 7m^2Knowing that to work out the area of a squa...

Answered by Nathan J. • Maths tutor

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The point (-3, -4) is the turning point of the graph of y = x^2 + ax + b, where a and b are integers. Find the values of a and b.

The function y = x² + ax + b is a quadratic polynomial and therefore has one turning point. The turning point of a quadratic graph is either the maximum or minimum point. The coefficient of x

Answered by Oliver L. • Maths tutor

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Please could you explain the what the dative in German is?

The German dative is a grammatical case which can be applied to nouns or pronouns to indicate what we call in English an 'indirect object.' Whereas a noun in the accusative case is the direct object of a ...

Answered by Izzy H. • German tutor

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What is the difference between meiosis and mitosis?

Meiosis is the process whereby gametes (sex cells), the ova in females and the sperm in males are produced. This occurs when the chromosomes (which there are two sets of in a body cell) are replicated, pr...

Answered by Mary G. • Biology tutor

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