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son4ous [18]
4 years ago
7

The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.

Mathematics
2 answers:
Harrizon [31]4 years ago
8 0

Answer:

d = 2.

Step-by-step explanation:

First term = -5

10th term = -5 + 9d    where d is the common difference, so

-5 + 9d = 13

9d = 18

d = 2.

il63 [147K]4 years ago
3 0

Answer:

2

Step-by-step explanation:

If the common difference is d we can write:

-5 + 9d = 13

9d = 18

d = 2

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36 is the length of altitude of equilateral triangle below
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Which statements are true about a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4 centime
artcher [175]

<u>Answer:</u>

B.The area of the base of the pyramid is 24cm^2.

C.A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.

E.The volume of this pyramid is 72cm3.

<u>Step-by-step explanation:</u>

Area of base of the pyramid = l × w = 4 × 6 = 24 cm^2

Volume of rectangular pyramid = (l × w × h)/3 = (4 × 6 × 9)/3 = 72 cm^3

Volume of rectangular prism = w × h × l = 9 × 4 × 6 = 216 cm^3

So according to these calculations, the correct answer options are:

B.The area of the base of the pyramid is 24cm^2.

C.A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.

E.The volume of this pyramid is 72cm3.

4 0
4 years ago
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Find the perimeter of triangle ABC with vertices A(–5, –2), B(–2, –2), and C(–5, 2).
KiRa [710]

Answer:

12 units

Step-by-step explanation:

the perimeter = AB+AC+BC=

3+4+5 = 12

3 0
3 years ago
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Question 9
timurjin [86]

Answer:

<u>The</u><u> </u><u>requ</u><u>ired</u><u> </u><u>num</u><u>ber</u><u> is</u><u> </u><u>7</u><u>0</u><u>.</u>

Step-by-step explanation:

let the no. be 10y + x where x is unit digit and y is ten's digit.

given , sum of the digit is 7

x + y = 7 ...(1)

also , reversing the no. we get 10x + y ,where x is ten's digit and y is unit digit.

given reversed digit decreases the number by 63 .

so, 10y + x - ( 10x + y ) = 63

9y -9x = 63

( dividing both side by 9 )

y - x = 7 ....(2)

adding 1 and 2 [ refer attachment ]

so the required original number is

10y + x = 10×7+0 = 70

8 0
2 years ago
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