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TiliK225 [7]
3 years ago
8

To find the value of the following expression,which operation should you do first and solve the problem following PEMDAS. The ex

pression is 20-(7+4) times 5.
Mathematics
1 answer:
Ymorist [56]3 years ago
8 0
Add the 7 and 4, which =11.
multiply times the 5, =55
and 20-55= -35
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melisa1 [442]

Answer:

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Step-by-step explanation:

First question:

You are given a side, a, and its opposite angle, A. You are also given side b. Use that in the law of sines and solve for the other angle, B.

\dfrac{a}{\sin A} = \dfrac{b}{\sin B}

\dfrac{10}{\sin 30^\circ} = \dfrac{40}{\sin B}

\dfrac{1}{0.5} = \dfrac{4}{\sin B}

\sin B = 2

The sine function can never equal 2, so there is no triangle in this case.

Answer: no triangle

Second question:

You are given a side, b, and its opposite angle, B. You are also given side c. Use that in the law of sines and solve for the other angle, C.

\dfrac{b}{\sin B} = \dfrac{c}{\sin C}

\dfrac{10}{\sin 63^\circ} = \dfrac{}{\sin C}

\sin C = \dfrac{8.9\sin 63^\circ}{10}

C = \sin^{-1} \dfrac{8.9\sin 63^\circ}{10}

C \approx 52.5^\circ

One triangle exists for sure. Now we see if there is a second one.

Now we look at the supplement of angle C.

m<C = 52.5°

supplement of angle C: m<C' = 180° - 52.5° = 127.5°

We add the measures of angles B and the supplement of angle C:

m<B + m<C' = 63° + 127.5° = 190.5°

Since the sum of the measures of these two angles is already more than 180°, the supplement of angle C cannot be an angle of the triangle.

Answer: one triangle

3 0
3 years ago
One day at St. Philip's High School, 1/2 of the pupils walked to school, 1/5 of the pupils came to school by bus, and the remai
Doss [256]
Let P be the number of kids,
we know P>57
take 1-(1/2)-(1/5)=3/10
therefore 57 is 3/10P
3/7P=57
P=57*7/3=133 is the answer
it would be incorrect if we didnt get a positive integer.
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Answer:

y = 17x

Step-by-step explanation:

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3 years ago
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Serjik [45]

Answer:

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Step-by-step explanation:

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3 years ago
Whats the reciprocal of 1 8/11
Juliette [100K]

First, change the mixed fraction into improper fraction. Change the whole number into a fraction, and add.

1 8/11 = 11/11 + 8/11 = 19/11

To find the reciprocal, flip the fraction.

The reciprocal of 19/11 is 11/19

hope this helps

8 0
3 years ago
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