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3 years ago

Can someone please simplify this??

Mathematics

1 answer:

KIM [24]3 years ago

6 0

Answer:

Step-by-step explanation:

=>sec A cosec A - tan A - cot A

=>(1/sinAcosA)-(sinA/cosA)-(cosA/sinA)

You get the LCM as sinAcosA then it becomes

=>(1-sin^2(A)-cos^2(A)) /sinAcosA [1-sin^2(A)=cos^2(A)]

=>(cos^2(A)-cos^2(A))/sinAcosA

=>0/sinAcosA

=>0

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Find the volume of the cylinder

erastovalidia [21]

Answer:

100.5cm2

Step-by-step explanation:

v=pi(r)2(h)

v=3.14(2)2(8)

v=3.14(4)(8)

v=100.48

v=100.5cm2

7 0

3 years ago

4tantheta/12-tan^2=1

egoroff_w [7]

$4tan \theta = 12 - tan^{2} \theta$
$tan^{2} \theta + 4tan \theta - 12 = 0$

Let $x = tan \theta$
$x^{2} + 4x - 12 = 0$
$(x + 6)(x - 2) = 0$
$x = -6, x = 2$

$tan \theta = -6, tan \theta = 2$

Since they both work, then we can write the solutions in general form:
$\theta = n \pi + tan^{-1}(2)$ , $n \in Z$
$\theta = n \pi - tan^{-1}(6)$ , $n \in Z$

Now, these solutions will always satisfy the equation and substituting a whole number in place of n will produce a solution that satisfies the given equation.

8 0

3 years ago

Jean's bedroom is 14 feet by 10 feet. She has chosen a carpet which costs $31.65 per square yard. This includes installation. De

chubhunter [2.5K]

Answer:

$14771055

Step-by-step explanation:

14 times 10= 140ft

140ft in yards is 46.67 in yards

46.67 times 31.65 =14771055

7 0

3 years ago

What is correct answer?

lutik1710 [3]

Answer:

H for sure

Step-by-step explanation:

It’s not a square but it’s a rectangle rectangles are parallel and rectangles are quadrilaterals

5 0

3 years ago

Read 2 more answers

A rectangular pyramid and a rectangular prism are shown below.

maxonik [38]

The volume of the rectangular prism is 36 ft³.

Step-by-step explanation:

Step 1:

The volume of a rectangular prism $= lwh$ ,

The area of the base is length multiplied by the width. So $Area = (l)(w).$

The volume of a rectangular prism = $(area)(h).$

The volume of a rectangular pyramid $= a^{2} \frac{h}{3} .$

Where a is the side length. If the base is a square, the area $= a^{2}$ .

So the volume of a rectangular pyramid $=\frac{1}{3} (area)(h)$ .

So if a rectangular pyramid and a rectangular prism have the same base and height, then

3 times the volume of the rectangular pyramid = The volume of the rectangular prism.

Step 2:

As it is given that the volume of the pyramid is 12 ft³, we can calculate the volume of the prism. As both the shapes have the same height and base,

The volume of the prism = $(12)(3) = 36.$

The volume of the rectangular prism is 36 ft³.

8 0

3 years ago