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Sever21 [200]
2 years ago
8

Simplify cot θ sec θ.

Mathematics
2 answers:
Mice21 [21]2 years ago
6 0

Answer:

cos thetha/sin thetha *1/cos thetha

1/sin thetha

which can be written as cosec thetha

Paul [167]2 years ago
4 0

Answer:

csc θ

Step-by-step explanation:

cot θ sec θ can be substituted by reducing the expression into equivalent parts.

cot θ = (cos θ)/(sin θ)

sec θ = 1/(cos θ)

Reduce these two values to get 1/(sin θ)

This expression can then be changed to csc θ, as it is also equivalent.

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A right regular pentagonal prism has a base edge length 14 cm, and height 12 cm. Identify the volume of the prism to the nearest
maks197457 [2]

Answer:

4046.56 cm3

Step-by-step explanation:

The base is made by 5 isosceles triangles, with one side of 14 cm, and the opposite angle of \frac{360} 5 = 72°. Each of the other angle is \frac{180-72} {2} =54°. From there, you can calculate the height of each base triangle as in \frac {h} 7 = tan54 or 9.634...cm.

Your volume will be 5 * \frac  {(14 * 9.634)} 2 * 12 = 4046.56 cm^3

7 0
3 years ago
The equation $(x - 7)^2 + (y + 13)^2 = 12$ represents a circle. What is its radius?
miskamm [114]

Answer:

<h3>2√3</h3>

Step-by-step explanation:

The standard equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the center of the circle

r is the radius of the circle

Given the equation (x - 7)^2 + (y + 13)^2 = 12

On comparing;

r² = 12

Take the square root of both sides

√r² = √12

r = √12

r = √4*3

r = 2√3

Hence the radius of the circle is 2√3

7 0
3 years ago
Index notation -
Jlenok [28]
A) 4*3 x 5*2
b) 9*4 x 7*2
c) 3 x 7*4
d) 2*2 x 9*4
8*5
6 0
3 years ago
Michael and Minnie are gathering coats for a coat-drive at their school. Minnie gathers 3 times as many coats as Michael and tog
fredd [130]

Let the number of coats Michael has = x

As given, Minnie gathers 3 times as many coats as Michael

So, Minnie has = 3x

Total number of coats = 52

Equation becomes,

x+3x=52

4x=52

x=13

Hence, Michael contributed 13 coats.

7 0
3 years ago
Aubrey has a new art box in the shape of a rectangular prism. The box is 12 cm by 5cm
tia_tia [17]
LWH-LWH
=12*20*5-4*2*0.5
=1200-32
=1168 cubic cms
5 0
3 years ago
Read 2 more answers
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