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Vedmedyk [2.9K]
3 years ago
12

Find the measurement and round to the nearest tenth.​

Mathematics
1 answer:
Simora [160]3 years ago
6 0

Answer:

7.0 yd to the nearest tenth.

Step-by-step explanation:

Use the Sine Rule:

AC / sin 28 = 15 / sin 92

AC = 15 sin 28 / sin 92

= 7.046

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Simplify the expression 3 1/3/3 1/3. Explain how the expression and its simplified form show that the set of irrational numbers
vampirchik [111]
The expression given is ambiguous according to the standard rules of math (PEMDAS) due to the lack of appropriate parentheses and probably the exponentiation symbol ^.

From the context, I assume it to mean
(3^(1/3)) / (3^(1/3)) = 1

Since 3^(1/3) is the cube-root of 3, and is thus irrational.
However, the quotient is exactly 1, which is a rational number.

The example is therefore a counter-example for the statement that "set of irrational numbers is closed under division", or stated differently,
"<span>the set of irrational numbers is not closed under division"</span>
5 0
3 years ago
47. Forming a Committee Four members from a 20-person committee are to be selected randomly to serve as chair- person, vice-chai
Svetllana [295]

Answer:

116,280 different leadership structures are possible

Step-by-step explanation:

The order is important.

For example, a Committee of John, Elisa, Laura and Rose means that John is the chairperson, Elisa the vice-chairperson, Laura the secretary and Rose the treasurer. If we exchange John and Elisa, their roles are also exchanged. This means that we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

How many different leadership structures are possible

Permutations of 4 elements from a set of 20. So

P_{(20,4)} = \frac{20!}{(20-4)!} = 116280

116,280 different leadership structures are possible

6 0
3 years ago
How using coordinate geometry helps you determine what type of quadrilateral you are looking at
Alchen [17]

because the amount of sides will help u figure out what quadrilateral you are looking at

7 0
3 years ago
When graphing inequalities on the number line, which of the following statements are true? Select all that apply.
Softa [21]

Answer:

The correct options are;

1) "Greater/Less than or equal to" means the circle on the number will be SOLID

2)"Greater/Less than" means the circle on the number will be open

3) If It is "greater than", the line will be colored to the RIGHT of the number & if it is "less than", the line will be colored to the LEFT of the number line

Step-by-step explanation:

When a linear inequality is graphed on a number line, and the value of the inequality is "less than" or "greater than" the limit displayed on the number line, the limit of the inequality is indicated by an open

When the the limiting value of the inequality is specified as "less than or equal to" or "greater than or equal to" the value displayed on the number line as a SOLID circle.

The region where the inequality is valued on the number line is the colored region.

5 0
3 years ago
Write a polynomial equation with integer coefficients that has the given roots.
stealth61 [152]

Answer:

y³+y²-30y=0

Step-by-step explanation:

(y-0)(y+6)(y-5)=0

y(y+6)(y-5)=0

y(y²-5y+6y-30)=0

y³+y²-30y=0

6 0
3 years ago
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