3 years ago

Problem of the Day 7.7

Mathematics

1 answer:

Grace [21]3 years ago

3 0

Answer:

576

Step-by-step explanation:

18 x 32 = 576

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Find the 12th term of each sequence. a9= 120, a14=195

Luda [366]

The general formula for an Arithmetic Progression is :

$\boxed {\boxed {T_n = a_1 + (n-1)d}}$

$\text {Given that } a_9 = 120,$

$T_9 = a_1 + (9 - 1)d = 120$

$a_1 + 8d = 120 \text { ------------------(1)}$

$\text {Given that } a_{14} = 195,$

$T_9 = a_1 + (14 - 1)d = 195$

$a_1 + 13d = 195 \text { ------------------(2)}$

Equation (2) - Equation (1) :

$13d - 8d = 195 - 120$

$5d = 75$

$d = 15$

Substitute d = 15 into Equation (1) :

$a_1 + 8(15) = 120$

$a_1 = 120 - 120$

$a_1 = 0$

$\text {Substitute }a_1 = 0 \text{ and d = } 15,$

$\boxed { \boxed { T_n = 15(n -1) }}$

Find 12th term :

$T_{12} = 15(12 -1) = 165$

$\boxed {\boxed {\text {Answer: The 12th term is 165.}}}$

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3 years ago

What is the area of a circle with a diameter of 29 centimeters?

Studentka2010 [4]

Answer:

91.06 cm

Step-by-step explanation:

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4 years ago

The perimeter of a rectangle is 36 cm and it’s area is 80 sq.cm . Find its dimensions

anastassius [24]

P = 2(l+W)
36 = 2 (l+W)
l + W = 18

a = lw
80 = lw

l: 10cm
W: 8cm

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3 years ago

1 5- + 6- 8 10 +676 Estimate: Sum:

yarga [219]

Answer:

i got -125

Step-by-step explanation:

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Divide 140 in the ratio 2:5

Ivanshal [37]

Answer:

40 : 100

Step-by-step explanation:

→ Find the sum of the ratio

2 + 5= 7

→ Divide 140 by the answer

140 ÷ 7 = 20

→ Multiply each part of the ratio by 20

40 : 100

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2 years ago