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Daniel [21]
3 years ago
12

What is the quotient of

0" id="TexFormula1" title="2 \frac{2}{7} \div \frac{4}{7} " alt="2 \frac{2}{7} \div \frac{4}{7} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
balandron [24]3 years ago
4 0

2 \frac{2}{7} ÷ \frac{4}{7}

First, let's turn the first fraction into an improper fraction.

\frac{16}{7} ÷ \frac{4}{7}

Since both of these fractions share the same denominator, we can drop the denominator and simply divide the numerators.

16 ÷ 4 = 4

The quotient = 4

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What is the value of z, rounded to the nearest tenth? Use the law of sines to find the answer. 2. 7 units 3. 2 units 4. 5 units
worty [1.4K]

The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).

The value of the z is 3.2 (rounded to the nearest tenth). The option 2 is the correct option.

<h3>What is law of sine?</h3>

The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).

It can be given as,

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

Here A,B,C are the angle of the triangle and a,b,c are the sides of that triangle.

Given information-

The triangle for the given problem is attached below.

In the triangle the base of the triangle is 2.6 units long.

The sine law for the given triangle can be written as,

\dfrac{\sin X}{x} =\dfrac{\sin Y}{y} =\dfrac{\sin Z}{z}

As the value of y side is known and the value of z has to be find. Thus use

\dfrac{\sin Y}{y} =\dfrac{\sin Z}{z}

Put the values,

\dfrac{\sin 51}{2.6} =\dfrac{\sin 76}{z}

Solve it for the z,

z=\dfrac{\sin 76\times 2.6}{\sin 51}\\z=3.2462

Hence the value of the z is 3.2 (rounded to the nearest tenth). The option 2 is the correct option.

Learn more about the sine law here;

brainly.com/question/2264443

4 0
2 years ago
lee is planning an event for 28 people, he wants to make a fruit drink and he thinks that each person will drink 3 glasses each.
GenaCL600 [577]

Answer:

84

Step-by-step explanation:

Since there will be 28 people, and each of them will drink 3 glasses, you just multiply the number of people times the number of glasses they will drink each, so 28*3. The result is 84.

I hope this helped! :D

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3 years ago
Use the graphs of f and g to solve Exercises 87, 88, and 89.
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Answers and explanations:

87. The domain of added functions includes the restrictions of both. So the range of the added function in this question is [-4, 3]

88. When finding the domain of a divided function we do the same as adding, but with an extra rule: g can't equal zero. So for this question the domain is (-4, 3)

89. To graph f + g you add the y-values for each x-value. I added a picture to help explain this one!

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3 years ago
11. Select the proper order from least to greatest for 2/3, 7/6, 1/8, 9/10.
Dafna11 [192]

Step-by-step explanation:

Option A is the correct answer

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2 years ago
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What is 90 added to 85
MakcuM [25]
90+85=175
Thats the answer
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