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krek1111 [17]
3 years ago
15

A different breakfast cereal is made using only fruit and bran. The ratio of the weight of fruit to the weight of bran is 1 : 3

(b) What fraction of the weight of this cereal is bran?
Mathematics
1 answer:
kkurt [141]3 years ago
5 0

Answer:

the answer would be 2/3. I hope this helps.

Step-by-step explanation:

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The floor of the entryway to an office building will be triangular. Two angles of the triangle will measure 40º, and the side be
ruslelena [56]

Answer:

The drawing in the attached figure

Step-by-step explanation:

we know that

An isosceles triangle, has two equal sides and two equal interior angles

In this problem, the floor of the entryway to an office building is in the shape of an isosceles triangle

step 1

Find the measure of the vertex angle

Remember that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

Let

x ---> the measure of the vertex angle of triangle

x=180^o-2(40^o)=100^o

step 2

Find the length of the congruent sides of triangle

Applying the law of sines

Let

c ----> the length of one congruent side

\frac{a}{Sin(A)}=\frac{b}{Sin(B)}

we have

a=8\ m\\A=100^o\\B=40^o

substitute

\frac{8}{Sin(100^o)}=\frac{b}{Sin(40^o)}

solve for b

b=\frac{8}{Sin(100^o)}(Sin(40^o))

b=5.22\ m

step 2

Make a scale drawing of the entryway

The scale drawing is 1 cm : 2 cm

That means

1 cm in the drawing represent 2 cm in the actual

or

1 cm in the drawing represent 0.02 m in the actual

Find the dimensions in the drawing

For a=8 m

8\ m=8/0.02=400\ cm

For b=5.22 m

5.22\ m=5.22/0.02=261\ cm

step 3

Draw the triangle

see the attached figure

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