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Anna11 [10]
3 years ago
15

Work out the area of a rectangle with base, b = 20mm and perimeter, P = 42mm.

Mathematics
2 answers:
polet [3.4K]3 years ago
6 0

Answer:

Let the length of the rectangle be 'l'

We have,

Perimeter of rectangle, P = 42mm.

or, 2(l+b) = 42\\or, l +b = \frac{42}{2} = 21\\or, l + 20 = 21\\or, l = 1mm\\

Area of rectangle = lb = 1(20) = 20mm^{2}

Zarrin [17]3 years ago
3 0

Answer:

20mm

Step-by-step explanation:

base=20mm

base x 2 because there are two long lines

20 x 2 = 40

42-40=2

amount needed on either side to balance

height=1mm

20 x 1 = 20mm

area = 20mm

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Answer:

a) Buddy's Unit rate is 11 minutes per 1 mile.

Jovie's unit rate is 10 minutes and 30 seconds or 10.5 per 1 mile.

A unit rate is the amount per one unit.

b) 5 miles. Or if Buddy and Jovie count their miles separately then 10 miles together since each runs 5 miles.

Step-by-step explanation:

a) A unit rate is the amount per one unit. At a grocery store, the unit rate is dollar cost per 1 unit bought. In a race, the unit race is the time it takes to one 1 mile.

Since Buddy can run 1/2 a mile in 5 minutes and 30 seconds, we can double his time for a full mile. 2*5 min is 10 minutes and 2*30 sec is 60 seconds or 1 minute. Buddy runs 11 minutes per mile.

Since Jovie can run 1/2 a mile in 5 minutes and 15 seconds, we can double the time for a full mile. 2*5 min is 10 minutes and 2*15 sec is 30 seconds. Jovie runs 10 minutes and 30 seconds per mile. This can also be written as 10.5 mins per mile.

b) Because we know how long it takes to run 1 mile, we can calculate how many miles can be run in a specific time frame by dividing it by the unit rate. An hour has 60 minutes. Divide 60 by Buddy's unit rate. 11 minutes per 1 mile. 11 divides into 60 to give 5.4545454....miles. We round up or down to the nearest mile to give 5 miles completed in 1 hour. If each runs 5 miles then together they run 10 miles.



3 0
3 years ago
Graph the function f( x ) = |x+2| - 3
stepladder [879]

Answer:

Find the attached

Step-by-step explanation:

To graph the given function, we would need to obtain pairs of points (x, f(x)). We can let x be;

-5, -4, -3, 3, 4, 5

we simply substitute each value of x in the given function to obtain the value of the function corresponding to the given x value;

when x = -5, f(-5) =  |-5+2| - 3 = 0

when x = -4, f(-4) =  |-4+2| - 3 = -1

when x = -3, f(-3) =  |-3+2| - 3 = -2

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when x = 4, f(4) =  |4+2| - 3 = 3

when x = 5, f(5) =  |5+2| - 3 = 4

The graph of the function is as shown in the attachment below.

8 0
3 years ago
Read 2 more answers
what is the area of a trapezoid with bases of 8.2 CM + 5.9 cm and a height of 10 cm will mark brainiest
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<span>Trapezoid area = ((sum of the bases) ÷ 2) • height
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Source:
http://www.1728.org/quadtrap.htm

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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