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AleksAgata [21]
3 years ago
7

Please help with this

Mathematics
1 answer:
prohojiy [21]3 years ago
5 0

Answer:

Step-by-step explanation:

Recall that cos Ф = adj / hyp.  If adj = 6 and hyp = 10, then by the Pythagorean Theorem, opp = 8:    6² + 8² = 10²

Then:

sin Ф = opp / hyp = 8/10 or 4/5

cos Ф is given:         6/10 or 3/5

tan Ф = opp / adj:      8/ 6 or 4/3

cot Ф   = 1/sin Ф = 10/8 or 5/4

sec Ф  = 1/ cosФ  =  10/6 or 5/3

csc Ф  = 1 / sin Ф = 10/8 or 5/4

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Use the distance formula to determine whether ABCD below is a parallelogram. A(-3,2) B(-3,3) C (5,-3) D (-1.-5)
Pani-rosa [81]

Answer:

ABCD is not a parallelogram

Step-by-step explanation:

Use the distance formula to determine whether ABCD below is a parallelogram. A(-3,2) B(-3,3) C (5,-3) D (-1.-5)

We have to find the length of the sides of the parallelogram using the formula below

= √(x2 - x1)² + (y2 - y1)² when given vertices (x1, y1) and (x2, y2)

For side AB

A(-3,2) B(-3,3)

= √(-3 -(-3))² + (3 -2)²

= √0² + 1²

= √1

= 1 unit

For side BC

B(-3,3) C (5,-3)

= √(5 -(-3))² + (-3 -3)²

= √8² + -6²

= √64 + 36

= √100

= 10 units

For side CD

C (5,-3) D (-1.-5)

= √(-1 - 5)² + (-5 - (-3))²

= √-6² + -2²

= √36 + 4

= √40 units

For sides AD

A(-3,2) D (-1.-5)

= √(-1 - (-3))² + (-5 -2)²

= √(2² + -7²)

= √(4 + 49)

= √53 units

A parallelogram is a quadrilateral with it's opposite sides equal

From the above calculation

Side AB ≠ CD

BC ≠ AD

Therefore, ABCD is not a parallelogram

3 0
3 years ago
Help middle school question!!!
Sav [38]

Answer:

<em>The shaded region has an area of 1400 square units</em>

Step-by-step explanation:

<u>Area of Compound Shapes</u>

We are given a shape and it's required to calculate its area. The shape can be divided into three rectangles as shown in the figure attached below.

The lengths of these rectangles are x, y, and z.

The value of x can be calculated as:

x = 60 - 15 - 10 = 35

Similarly:

y = 60 - 15 = 45

z = y = 45

The first rectangle has dimensions of x by 10, thus its area is:

A1 = 35*10 = 350

The second rectangle has dimensions of 60 by 10:

A2 = 60*10 = 600

The third rectangle has dimensions y by 10:

A3 = 55*10 = 450

The shaded area is:

A = 350 + 600 + 450 = 1400

The shaded region has an area of 1400 square units

8 0
2 years ago
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kondor19780726 [428]

Answer:

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A grocery store plans to use 75% of its area for food and beverages. If the grocery store has an area of 1,600 m², what is the a
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Answer:

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Step-by-step explanation:

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The Response variable depends upon the explanatory variable, as we change the value of the explanatory variable the value of the response variable is also get changed.

When the data is in the form of numeric, it is called quantitative.

When the data is not in the numeric form, it is called qualitative.

Here, we have to determine which web page design is better and it depends on the number of the item viewed by a visitor to that site.

Thus, the Explanatory variable is the "number of items viewed".

and the number of items viewed is numeric data, so it is quantitative.

Hence, option (A) is correct.

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