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tresset_1 [31]
3 years ago
9

A restaurant used 8 1/4 pounds of carrots to make 6 carrot cakes. Frank wants to use the same recipe. How many pounds of carrots

does Frank need to make one carrot cake?
Mathematics
1 answer:
snow_tiger [21]3 years ago
4 0

Answer:

To make one carrot cake 1 pound(approximately) carrot needed.

Step-by-step explanation:

Given:

8 1/4=33/4 pounds of carrots used to make 6 carrot cakes.

So, to get one carrot cake:

6 carrot cakes need = \frac{33}{4}

1 carrot cake need =  \frac{33}{4} ÷ 6

                               = \frac{33}{24}

                               = 1.375\ pound

Therefore, to make one carrot cake 1 pound(approximately) carrot needed.

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Marty is asked to draw triangles with side lengths of 4 units and 2 units, and a non-included angle of 30°. Select all the trian
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The drawn in the attached figure

see the explanation

Step-by-step explanation:

<em>First case</em>

In the triangle ABC

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a=4\ units\\b=2/ units\\B=30^o

Applying the law of sines

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Find the measure of angle C

In a right triangle

we know that

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B=30^o

therefore

C=60^o

Find the length side c

Applying the law of sines

\frac{c}{sin(C)}=\frac{b}{sin(B)}

substitute the given values

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a=4\ units\\b=2\ units\\c=2\sqrt{3}=3.46\ units

<em>Second case</em>

In the triangle ABC

Let

a=4\ units\\b=2/ units\\A=30^o

Applying the law of sines

Find the measure of angle B

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

substitute the given values

\frac{4}{sin(30^o)}=\frac{2}{sin(B)}

sin(B)=0.25

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using a calculator

B=14.48^o

Find the measure of angle C

we know that

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

so

A+B+C=180^o

A=30^o\\B=14.48^o

therefore

30^o+14.48^o+C=180^o

C=135.52^o

Find the length side c

Applying the law of sines

\frac{c}{sin(C)}=\frac{a}{sin(A)}

substitute the given values

\frac{c}{sin(135.52^o)}=\frac{4}{sin(30^o)}

c=5.61\ units

therefore

The dimensions of the triangle are

A=30^o

B=14.48^o

C=135.52^o

a=4\ units\\b=2\ units\\c=5.61\ units

see the attached figure to better understand the problem

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