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saw5 [17]
2 years ago
6

Justin did push-ups every weekday this week. He did 888 push-ups on Monday, 14 push-ups on Tuesday, 18 push-ups on Wednesday, 6

push-ups on Thursday, and 8 push-ups on Friday.
Find the mean number of push-ups.
Mathematics
1 answer:
Svetlanka [38]2 years ago
7 0

Answer:

8

Step-by-step explanatio

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Look a the numbers below. 75,74,72,69,65,... describe the pattern.
Yuliya22 [10]
-1 then minus 2 minus 3 then so forth
6 0
2 years ago
Prove that: [1 + 1/tan²theta] [1 + 1/cot² thata] = 1/(sin²theta - sin⁴theta]
Stels [109]

Step-by-step explanation:

<h3><u>Given :-</u></h3>

[1+(1/Tan²θ)] + [ 1+(1/Cot²θ)]

<h3><u>Required To Prove :-</u></h3>

[1+(1/Tan²θ)]+[1+(1/Cot²θ)] = 1/(Sin²θ-Sin⁴θ)

<h3><u>Proof :-</u></h3>

On taking LHS

[1+(1/Tan²θ)] + [ 1+(1/Cot²θ)]

We know that

Tan θ = 1/ Cot θ

and

Cot θ = 1/Tan θ

=> (1+Cot²θ)(1+Tan²θ)

=> (Cosec² θ) (Sec²θ)

Since Cosec²θ - Cot²θ = 1 and

Sec²θ - Tan²θ = 1

=> (1/Sin² θ)(1/Cos² θ)

Since , Cosec θ = 1/Sinθ

and Sec θ = 1/Cosθ

=> 1/(Sin²θ Cos²θ)

We know that Sin²θ+Cos²θ = 1

=> 1/[(Sin²θ)(1-Sin²θ)]

=> 1/(Sin²θ-Sin²θ Sin²θ)

=> 1/(Sin²θ - Sin⁴θ)

=> RHS

=> LHS = RHS

<u>Hence, Proved.</u>

<h3><u>Answer:-</u></h3>

[1+(1/Tan²θ)]+[1+(1/Cot²θ)] = 1/(Sin²θ-Sin⁴θ)

<h3><u>Used formulae:-</u></h3>

→ Tan θ = 1/ Cot θ

→ Cot θ = 1/Tan θ

→ Cosec θ = 1/Sinθ

→ Sec θ = 1/Cosθ

<h3><u>Used Identities :-</u></h3>

→ Cosec²θ - Cot²θ = 1

→ Sec²θ - Tan²θ = 1

→ Sin²θ+Cos²θ = 1

Hope this helps!!

7 0
2 years ago
Write a inequality for the graph below
max2010maxim [7]

Answer:

X ≥ -6

Step-by-step explanation:

since the arrow is pointing towards the right side i.e tending towards x

7 0
2 years ago
I need help with this​
leonid [27]

Answer: 13.5 Okay! Here's the method count the legs of the right triangle

The formula we'll use will be

A^2 + B^2 = C^2

In this case we're counting by twos

The base is 11 so we times it by itself =110

The leg is 8.5 so we going to times itself to make 72.25 add those together so 110+ 72.25 = 182.25 then we \|-----

182.25

Then you have got ur answer of 13.5

Step-by-step explanation:

8 0
2 years ago
SPHERE VOLUME
Arte-miy333 [17]
V = 4/3 * pi * r^3

V = 4/3 * 3.14 * 21^3

Simplify exponent:

V = 4/3 * 3.14 * 9261

Multiply:

V = 38772.72
6 0
3 years ago
Read 2 more answers
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