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Kruka [31]
3 years ago
12

An angle theta is in​ ________ _______ if its vertex is at the origin of a rectangular coordinate system and its initial side co

incides with the positive​ x-axis
Mathematics
1 answer:
romanna [79]3 years ago
6 0

We know that in standard position, the vertex of the angle should lie at the origin and its initial side is always fix along the positive x- axis. Please see the attached image.

We can see that the vertex of the angle is at the origin O and the initial side OB is along the positive x axis. This is the standard position of an angle.

Therefore, we have

An angle theta is in​ standard position if its vertex is at the origin of a rectangular coordinate system and its initial side coincides with the positive​ x-axis.

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The area of a rectangular mirror is 15 7 16 square feet. The width of the mirror is 3 1 4 feet. If there is a 5 foot tall space
Vlad1618 [11]

Given:

Area of rectangle = 15\dfrac{7}{16} sq. feet.

Width of the mirror = 3\dfrac{1}{4} feet.

To find:

Whether it will fit on the wall whose length is 5 foot.

Solution:

We know that, area of a rectangle is

Area=length\times width

\dfrac{Area}{width}=length

Substituting the given values, we get

Length=\dfrac{15\dfrac{7}{16}}{3\dfrac{1}{4}}

Length=\dfrac{\dfrac{15\times 16+7}{16}}{\dfrac{3\times 4+1}{4}}

Length=\dfrac{\dfrac{240+7}{16}}{\dfrac{12+1}{4}}

Length=\dfrac{\dfrac{247}{16}}{\dfrac{13}{4}}

Length=\dfrac{247}{16}\times \dfrac{4}{13}

Length=4.75


So, length of mirror is 4.75 feet which is less than 5 feet.

Therefore, the mirror will fit on the wall.

8 0
2 years ago
Put these in order starting with the smallest:
AleksandrR [38]

Answer:

1 to the power of 8= 8

2 to the power of 4 =16

5 squared =25

3 to the power of 3 =27

Step-by-step explanation:

2 to the power of 4 =16

3 to the power of 3 =27

1 to the power of 8= 8

7 0
3 years ago
A 4-pint carton of sour cream costs $9.12. What is the price per cup?
Mamont248 [21]
1 pint = 2 cups

1 pint x 4 & 2 cups x 4

4 pints = 8 cups

9.12/8

1.14

$1.14 per cup
5 0
2 years ago
A 2012 Gallup poll surveyed Americans about their employment status and whether or not they have diabetes. The survey results in
posledela

A) See picture for the table.

To make the table, multiply 47774 by 1.5% to get total that have diabetes and multiply 5855 by 2.5% to get total unemployed that have it, then using subtraction fill in the other squares of the table.

B)

Hypothesis:

H0: No association between employment and diabetes.

H1: Association between the two

Using a graphing calculator or Excel, run a chi-test.

Chi squared equals 31.844 with 1 degrees of freedom.

 The two-tailed P value is less than 0.0001

With this information we can reject the null hypothesis and conclude there is an association between diabetes and employment.

C)

Although there is a statistical significance, there really is no practical significance between an incidence rate of 1.5 or 2.5%

3 0
3 years ago
Which situations accurately describe a ratio of ? Select all that apply
Sav [38]
Where are the answer choices and the rest of the question?
5 0
3 years ago
Read 2 more answers
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