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scoundrel [369]
2 years ago
8

A triangle has side lengths of (6.2p + 4.5q) meters, (3.4p – 0.7r) meters, and (2.9r – 4.1q) meters. Which expression represents

the perimeter, in meters, of the triangle?
A 9.6p + 0.4q + 2.2r
B 9.6p + 7.4q – 4.8r
C 9.6p – 1.2qr
D 10.7pq + 2.7pr – 1.2qr
Mathematics
1 answer:
Natalija [7]2 years ago
3 0

Answer:

9.6p + 0.4q + 2.2r meters (answer A)

Step-by-step explanation:

We sum up the three side lengths to obtain the perimeter of the triangle:

 (6.2p + 4.5q) meters, , and (2.9r – 4.1q) meters

+ (3.4p – 0.7r) meters

+ (2.9r – 4.1q) meters

---------------------------------

9.6p + 0.4q + 2.2r meters (answer A)

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3 years ago
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3 consecutive odd integers such that the sum of twice the first and three times the second is 55 more than twice the third
den301095 [7]

Answer:

Consecutive odd integers are 19 , 21 & 23

Step-by-step explanation:

Let the first 3 consecutive odd intergers be x , (x + 2) and (x + 4).

According to the question,

2x + 3(x + 2) = 2(x + 4) + 55

=  > 2x + 3x + 6 = 2x + 8 + 55

Eliminating 2x from both the sides,

=  > 3x + 6 = 63

=  > 3x = 63 - 6 = 57

=  > x =  \frac{57}{3}  = 19

So, the consecutive odd integers are = 19 , 21 & 23.

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2 years ago
sarah invests £9600 at a simple interest rate of 8% per year. Work out the value of the investment after 3 years
andre [41]

Answer:

the value of the investment after 3 years=  £11,904

Step-by-step explanation:

sarah invests £9600 at a simple interest rate of 8% per year

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Formula for simple interest

I = P*n* r

P is the initial amount invested= 9600

r is the rate of interest = 8% = 0.08

n = number of years = 3

Now we find interest using formula

I = 9600 * 0.08 * 3= 2304

Interest amount is 2,304

Now we add the interest with the initial amount to get the value of investment after 3 years

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6 0
3 years ago
If sin 115 degrees≈ 0.91 and cos 115 degrees = -0.42, then sin -115 = ____ and cos -115 degrees =_____
mafiozo [28]

Answer:

If sin 115 degrees≈ 0.91 and cos 115 degrees = -0.42, then sin -115 = -0.91 and cos -115 degrees = 0.42

Step-by-step explanation:

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3 years ago
Ara has a cube with side lengths of 4.2 cm. Which is the best estimate of the volume of the cube?
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3 years ago
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