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pashok25 [27]
3 years ago
5

A rectangle has a width that is 7 centimeters less than its length, and its area is 330 square centimeters. What are

Mathematics
2 answers:
Shalnov [3]3 years ago
8 0

Answer:

w = 15 cm

l = 22 cm

Step-by-step explanation:

A = w·l

w = l - 7

A = (l - 7)·l

330 = l² - 7l

l² - 7l - 330 = 0

l² + 15l - 2l - 330 = 0

l(l + 15) - 22(l + 15) = 0

(l - 22)(l + 15) = 0

l - 22 = 0 => l = 22 cm

l + 15 = 0 => l = - 15 < 0 (f)

w = l - 7 = 22 - 7 => w = 15 cm

natali 33 [55]3 years ago
7 0

Answer:

22,15

Step-by-step explanation:

width = l-7

l*(l-7) =330

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At 5 p.M., the temperatures recorded at two weather stations in Antarctica are -6 degrees and 2 degrees. The temperature changes
RoseWind [281]

Answer:

- 8° per hour

Step-by-step explanation:

Given that:

Station A = - 6°

Station B = 2°

Rate of temperature change = x° / hour ; which is the same at both stations

Temperature at station A 3 hours after the recording is the same as the temperature in station B 4 hours after the recording ;

Temperature change in Station A:

-6 + 3x

Temperature change in station B:

2 + 4x

Temperature change in A = temperature change in B

-6 + 3x = 2 + 4x

Collect like terms

3x - 4x = 2 + 6

- x = 8

x = - 8

Hence, the rate of temperature change x in both stations is - 8° per hour

8 0
3 years ago
$4,85 Incorrect Question 6 0/10 pts A corporation issues 25-year $1,000 zero-coupon bonds. Calculate the price you must pay for
SIZIF [17.4K]

Answer:

  $52.62

Step-by-step explanation:

The present value of an investment with a future value of $1000 at an interest rate of 12.5% compounded annually for 25 years is ...

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6 0
3 years ago
Find an explicit formula for the arithmetic sequence -11, -3, 5, 13, ....
Alekssandra [29.7K]

Answer:

<u>b(n) = -11 + (n-1)*8</u>

<u></u>

Step-by-step explanation:

Let n be the sequence number, with n=1 the first number b(1) -11

The sequence changes by +8 each step.

<u><em>b(1)</em></u><em>   -11</em>         + 8 =   -3

<u><em>b(2)</em></u><em>   -3</em>          + 8 =    5

<u><em>b(3)</em></u>   <em> 5 </em>         + 8 =   13

<u><em>b(4)</em></u><em> </em> <em>13</em>

b(1) = -11

b(2) = -3.   or b(1) + 1*8

b(3) =  5,    or b(1) + 2*8

b(4) =  13,   or b(1) + 3*8

We note that each step adds a multiple of 8 to the initial value of -11.  This can be stated as (n-1)*8

The formula for this sequence would be b(n) = b(1) + (n-1)*8

<u>b(n) = -11 + (n-1)*8</u>

Check:  Does n=3 return the value of 5?

b(n) = -11 + (n-1)*8

b(3) = -11 + ((3)-1)*8

b(3) = -11 + (2)*8

b(3) = -11 + 16

b(3) = 5   <u><em>YES</em></u>

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2 years ago
What is the unit rate for $2.98
klasskru [66]

Answer:

to find unit rate you need two numbers and divide them. please give the second part for example 2.98 dollars per 2 minutes will be 1.49 per second

Step-by-step explanation:

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Complete factorization
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(3x-10) (3x-10)

Both of the 10's have to be negative because -10 x -10 = 100
and if you use foil -30 + -30 = -60
6 0
3 years ago
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