Pls help I'm confused, oh and can you also explain it. 15pts

Mathematics

1 answer:

Mice21 [21]2 years ago

3 0

Answer:

Step-by-step explanation:

This triangle is a special right triangle. In triangles with the angles 30, 60, and 90, the side opposite of the 30 degree angle will <u>always</u> be half the length of the hypotenuse. The hypotenuse is the longest side of a right triangle. In a 30 60 90 triangle, the long side will be equal to the short side multiplied by the squareroot of 3, but that is not needed for this problem. Since the hypotenuse is 12, the side opposite of the 30 degree angle, labeled "s h o r t" will be half of 12. Half of 12 is equal to 6, therefore the short side will be equal to 6.

lmk if i made a mistake, hope this helps :)

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Amelie is making a recipe that uses 1 3/4 cups flour. She is making 2 1/2 times the original recipe.

elixir [45]

Answer:

She would need $4\frac{3}{8}$ flour to make $2\frac{1}{2}$ times the recipe.

Step-by-step explanation:

To make 1 recipe Amelia uses = $1 \frac{3}{4}\ cups$ of flour.

So, to make $2\frac{1}{2}$ times the recipe she would need = $1 \frac{3}{4}\times 2\frac{1}{2}$ .

We evaluate the above mixed numbers by converting them to fraction(by multiplying denominator with whole number and adding to numerator and write as fraction of same denominator.).

$=\frac{7}{4}\times \frac{5}{2}$

$=\frac{35}{8}$

Then converting back to mixed number (by dividing the numerator by denominator and writing the quotient as the whole number and the remainder as fraction with same denominator.

$\frac{35}{8}=4\frac{3}{8}$