MATHEMATICS HIGH SCHOOL

The sum of three consecutive multiples of 7 is 777 find these multiples

Answers

Answer 1
Answer:

7n+7n+7+7n+14=777\n21n=756\nn=36\n\n7n=252\n7n+7=259\n7n+14=266

252,259,266
Answer 2
Answer:

let the consecutive multiples be 7(n-1) , 7n and 7(n+1)

so 7(n-1)+7n+7(n+1)=777

or 3n=111,

n=37

252,259,266

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Use the Pythagorean identity sin^2 Θ + cos^2 Θ = 1 to derive the other Pythagorean identities, 1 + tan^2 Θ = sec^2 Θ and 1 + cot^2 Θ = csc^2 Θ. Discuss how to remember these identities and other fundamental identities.

Answers

1 )  1 + tan² t = sec² t
1 + sin² t / cos² t = 1 / cos² t
( This is because we know that tan x = sin x / cos x and csc x = 1 / cos x )
Then we will multiply both sides of an equation by cos² t
1 * cos² t + sin² t * cos² t / cos² t = 1
cos² t + sin² t = 1 ( and we know that it is the identity - true )
2 ) 1 + cot ² t = csc² t
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sin² t + cos² t = 1  ( true )

A triangle is 6 centimeters long and 4 centimeters high. What is the area of the triangle?12 cm 2
20 cm 2
24 cm 2
48 cm 2

Answers

Answer:

12cm2

Step-by-step explanation:

Answer:

12 cm^2

Step-by-step explanation:

A football stadium holds 52,000 fans. A college student is doing research and determines that on any given game day, the home team has five times as many fans as the visiting team. In order to help the student in his research, he represents the number of home team tickets as H and the visiting team’s tickets as V.

Answers

If H represents the tome teams tickets and V represents the visiting teams then it would be v+h(5)=52,000. 
V= 8,667 tickets 
H= 43,333 tickets

In the first 4 of 5 consecutive days, Martha delivered144, 152, 139, and 171 newspapers. How many
newspapers did Martha deliver on the fifth day, if the
average number of newspapers she delivered per day
during the five-day period was 155?
A. 154
B. 162
C. 169
D. 171
Given the number of newspapers delivered by
E. Martha on the first four days, she cannot average
155 per day for the five-day period.

Answers

Answer:

C. 169

Step-by-step explanation:

144+152+139+171+169=775

775÷5=155

Which is true about the completely simplified difference of the polynomials a3b + 9a2b2 − 4ab5 and a3b − 3a2b2 + ab5?The difference is a binomial with a degree of 5.
The difference is a binomial with a degree of 6.
The difference is a trinomial with a degree of 5.
The difference is a trinomial with a degree of 6.

Answers

To answer the problem above we must first get the difference between the polynomials. In equation,
(a^3b + 9a^2b^2 - 4ab^5) - (a^3b - 3a^2b^2 + ab^5) =
6a^2b^2 - 3ab^5. This is the difference between the two completely simplified polynomials, The difference between the two is a binomial with a degree of 5.

Simplify the rational expression. state any excluded values. x^2 - 36/6-x

Answers

(x^2-36)/(6-x)

x \neq 6

(x^2-36)/(6-x)=((x+6)(x-6))/(-(x-6))=-(x+6)=-x-6

Answer:

-x - 6; where x does not equal 6

Step-by-step explanation:
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