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3 years ago

Prove that : cot + tan = cosec . sec

Mathematics

2 answers:

ivanzaharov [21]3 years ago

7 0

Answer:

I have attached

Step-by-step explanation:

White raven [17]3 years ago

6 0

<h2>Answer:</h2>

LHS - cotθ + tanθ

= cosθ/sinθ + sinθ/cosθ

= cos²θ + sin²θ/sinθcosθ

= 1/sinθcosθ

= 1/sinθ × 1/cosθ

= cosecθsecθ - RHS proved.

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A cube has sides lengths of 3.5 mm. Wgat is the surface area of the cube?

Marysya12 [62]

Answer:

73.5 mm

Step-by-step explanation:

1. Take side length 3.5 mm and calculate the area of one side of the cube.

3.5 mm × 3.5 mm = 12.25 mm²

2. Since cube had six sides, multiply the area of one side by six.

12.25 mm² × 6 = 73.5 mm²

8 0

4 years ago

Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, co

Vladimir79 [104]

Answer:

Qualitative and Neither

Step-by-step explanation:

Quantitative data is such a data which can be measured or calculated i.e. which is defined only in terms of numbers. In simple words we can say that numeric data is the Quantitative data.

On the other hand, qualitative data describes the characteristics, attribute or quality of the objects. This type of data is not measured or calculated.

The data which we are dealing with is "Kind of pizza". The kind/flavor of pizza is an attribute or characteristic of pizza. So from here it is clear that the data is Qualitative. Though numbers are assigned to different flavors, these numbers are just for identification of the flavor on the order form.

The terms discrete and continuous can only be used when the data is Quantitative. Qualitative data cannot be referred to as discrete or continuous data, even if some numbers are assigned to data.

Therefore, the answers are: Qualitative and Neither

6 0

3 years ago

A storekeeper wants to mix two types of flour to get 300 pounds, so he can sell it by 2.50$ per pound. If he uses flour worth $2

ioda

Answer:

90 pounds, 210 pounds

Step-by-step explanation:

Given:

A storekeeper wants to mix two types of flour to get 300 pounds, so he can sell it by 2.50$ per pound.

He uses flour worth $2.40 a pound with another flour worth $3.00 a pound.

Question:

How many pounds of each does he use?

Solution:

Let pounds of one type of flour mixed = $x$

Then pounds of another type of flour mixed = $300-x$

Cost of 1 pound of one type of flour = $2.40

Cost of $x$ pounds of one type of flour = $2.4x$

Similarly,

Cost of 1 pound of another type of flour = $3

Cost of $300-x$ pounds of another type of flour = $3(300-x)=900-3x$

Cost of mixed flour per pound = $2.5

Total cost of mixed flour per pound = $2.5 $\times$ 300 = $750

Cost of $x$ pounds of one type + Cost of $300-x$ pounds of another type = $750

$2.4x+900-3x=750\\\\ -0.6x+900=750\\ \\ Subtracting\ both\ sides\ by\ 900\\ \\ -0.6x+900-900=750-900\\ \\ -0.6x=-150\\ \\ Minus\ canceled\ by\by\ minus\\ \\ 0.6x=150\\ \\ Dividing\ both\ sides\ by\ 0.6\\ \\ x=90$

Pounds of one type of flour mixed = $x$ = 90 pounds

Pounds of another type of flour mixed = $300-x$ = 300 - 90 = 210 pounds

Thus, 90 pounds of one and 210 pound of another type of flour mixed.

7 0

3 years ago

What percent of 56 is 35 shirts

9966 [12]

62.5% of 56 is 35

Divide 35 and 56:
$35 \div 56 = 0.625$

Convert the decimal to a percentage:
$0.625 \times 100 = 62.5$

8 0

3 years ago

Point D(2, 4) is rotated 180° about the origin, what is the coordinate of D

nadezda [96]

Answer: D(-2, -4)

All you have to do in this situation is make your answer negative, because they will both be going to the negative side. This also would be the same thing for if they are already negative you turn them positive.

6 0

4 years ago

Prove that : cot + tan = cosec . sec​

Prove that : cot + tan = cosec . sec