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2 years ago

A triangle has a perimeter of 77 centimeters and one side is 25 centimeters. The other

Mathematics

1 answer:

Vitek1552 [10]2 years ago

8 0

Answer:

36 cm

Step-by-step explanation:

Let x represent the multiplier of the ratio units. Then the perimeter is the sum of the side lengths:

77 = 25 + 4x +9x

52 = 13x . . . . . . . . subtract 25

x = 4 . . . . . . . . . divide by 13

4x = 4(4) = 16 . . . . find the other side lengths

9x = 9(4) = 36

The side lengths are 25 cm, 16 cm, 36 cm. The longest side is 36 cm.

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Find the sum of the first 8 terms of the sequence: -5. 15, -45, 135, .......

MakcuM [25]

Sum of geometric sequence

for the sum where the initial value is a₁ and the common ratio is r and the term is n

$S_n= \frac{a_1(1-r^n)}{1-r}$

common ratio is -3
-5 times -3 is 15, -15 times -3=-45 etc
first term is -5
and we want the 8th term

$S_8= \frac{-5(1-(-3)^8)}{1-(-3)}$
$S_8= \frac{-5(1-6561)}{1+3}$
$S_8= \frac{-5(-6560)}{4}$
$S_8= \frac{32800}{4}$
$S_8= 8200$

the sum is 8200

7 0

2 years ago

A 32-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third

Goshia [24]

Answer:

first piece = 1.88in

second piece= 3.76in

third piece = 26.32in

32 = f + s + t

1st piece = f

2nd piece = s

3rd piece = t

what we know:

s = 2f

t = 2(7f)

32 = f + 2f + 2(7f)

32 = 3f +14f

32 = 17f

f = 1.88

now sub in:

f = 1.88

s = 3.76

t = 26.32

when you add these together you get 31.96, when you round up you get 32 which is the original piece of steel.

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2 years ago

(a) Write 7.97 x 10 ^-6 as an ordinary number.

Vaselesa [24]

Answer:

0.00000797

Step-by-step explanation:

3 0

7 months ago

Arrange the following numbers from smallest to largest: 3.04, 3<br> 10<br> 3.024

andre [41]

Answer:

3, 3.024, 3.04, 10

I'm sorry if I misunderstood.

Good luck mate! :)

Please add Brainliest if you'd like, not that it matters.

Remember to try your best every day!

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3 years ago

How many time does 7 go into 117

creativ13 [48]

7 goes into 177 one time

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3 years ago

Read 2 more answers