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Paul [167]
3 years ago
13

(a) Find the common difference of an A.P. whose first term is 5 and the number of terms is 30 and sum 1455.

Mathematics
1 answer:
Alexxandr [17]3 years ago
4 0
Sum = n/2[2a + (n - 1)d] where a = first term, n = number of terms and d = common difference

(a) 30/2(2 x 5 + (30 - 1) x d) = 1455
10 + 29d = 1455 / 15
29d = 97 - 10
d = 87 / 29 = 3

(b) 7/2(2 x 9 + (7 - 1)d) = 0
18 + 6d = 0
6d = -18
d = -3
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Find the volume of the cylinder. Round your answer to the nearest tenth.
Juliette [100K]

Answer:

4948

Step-by-step explanation:

volme of a cylinder= πr^{2}×h

4 0
3 years ago
Read 2 more answers
Ben and Alyssa play a game in which they earn the same number of points for each goal and lose the same number of points for eac
Nadya [2.5K]

Answer:

Each goal gives 5 points and a penalty costs 7 points.

Step-by-step explanation:

Let a penalty cost = x points

And a goal gives = y points

Ben makes 7 goals and 2 penalties ending the game with 21 points,

7y - 2x = 21 --------(1)

Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,

10y - 8x = -6

5y - 4x = -3 --------(2)

Equation (1) multiplied by 2, then subtracted from equation (2),

(5y - 4x) - 2(7y - 2x) = -3 - 2(21)

5y - 4x - 14y + 4x = -3 - 42

-9y = -45

y = 5

From equation (1)

7(5) - 2x = 21

35 - 2x = 21

2x = 35 - 21

2x = 14

x = 7

Therefore, each goal gives 5 points and a penalty costs 7 points.

5 0
2 years ago
Find A and B if the graph of Ax + By = 12 passes through (2,1) and is parallel to the graph of 2x - 7y = 3
Ivenika [448]

Answer:

24-21

Step-by-step explanation:

2×12=24 7×3=21 I started from 2×2 towards 2×12 when I got the answer and I started 7×1 towards 7×3

4 0
2 years ago
Help pls
grigory [225]

Answer:

A.(26)X =1

26x =1

divide both sides by 26 to make x the subject

26x/1=1/26

x = 1/26

Step-by-step explanation:

B 50(x) =1

50x =1

x =1/50

3 0
3 years ago
Which polynomial is represented by the algebra tiles? 2x2 – 4x – 6 2x2 4x 6 –2x2 – 4x – 6 –2x2 4x 6.
natta225 [31]

Polynomials consist of both indeterminates and coefficients. The polynomial that is been represented by the algebra tiles is 2x²-4x -6.

<h3>What are polynomials?</h3>

A polynomial consists of both indeterminates and coefficients and involves mathematical operations such as addition, subtraction, multiplication, and division.

In order to find the polynomial that is been represented by the tiles, we will simply, calculate the number of tiles for each variable,

As we can see in the image,

Number of tiles labeled as x² = 2

Number of tiles labeled as -x = 4

Number of tiles labeled '-' = 6

therefore, the polynomial can be written as 2x²-4x -6.

Hence, the polynomial that is been represented by the algebra tiles is 2x²-4x -6.

Learn more about Polynomials:

brainly.com/question/17822016

4 0
2 years ago
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