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4 years ago

A rectangle has a perimeter of 41.1 and the width is half the length

Mathematics

1 answer:

Julli [10]4 years ago

7 0

Perimeter=2(w+l)
=2(3w)
=6w
41.1=6w
w=6.85

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Find the area of the following shape. You must show all work to receive credit.

Artist 52 [7]

By comparing the given shape with easier ones like triangles and rectangles we will see that the area of the shape is 8 square units.

<h3>How to simplify the shape.</h3>

So the given shape is a little bit complex, but you can actually see that it is a triangle with a base of 8 units with a height of 4 units, where a rectangle of 2 in by 3 in was removed, and also removed a triangle of height of 2 inches and base of 2 inches.

Remember that:

A triangle of height H and base B has an area = B*H/2
A rectangle of length L and width W has an area = L*W.

Then the area of the given shape is:

A = 8*4/2 - 3*2 - 2*2/2

A = 16 - 6 - 2

A = 8

So the given shape has an area of 8 square units.

If you want to learn more about areas, you can read:

brainly.com/question/14137384

5 0

2 years ago

A. 48+1.2m>40<br> B. 40+1.2m<48<br> C. 48+1.2m<40<br> D. 40+1.2m>48

spin [16.1K]

I think the answer is d

4 0

3 years ago

Read 2 more answers

Sarah has a brother who is 5 years younger than herself and another brother who is 8 years younger than herself. She observes th

ELEN [110]

Answer:

Sarah is 13 years old

Step-by-step explanation:

Represent Sarah's age with S

Her first brother's age with F

Her second brother's age with B

So, we have:

From the first statement, we have:

$S - F = 5$ ---- (1)

From the second, we have:

$S - B = 8$ ---- (2)

The product of their ages is 40.

First, we make F the subject in (1) and B the subject in (2)

$F = S - 5$

$B = S - 8$

Their product is represented as follows:

$F * B = 40$

Substitute values for F and B

$(S - 5) * (S - 8)=40$

Open bracket

$S^2 - 5S -8S + 40 = 40$

$S^2 - 13S + 40 = 40$

Subtract 40 from both sides

$S^2 - 13S = 0$

Factorize:

$S(S - 13) = 0$

Split:

$S = 0$ or $S - 13 = 0$

But Sarah's age can't be 0 because she has two younger brothers.

So, we stick to

$S - 13 = 0$

Make S the subject

$S = 13$

<em>Hence, Sarah is 13 years old</em>

3 0

3 years ago

Determine if the sequence is arithmetic write yes or no 5,9,14,20

makkiz [27]

Answer: No

Step-by-step explanation:

An arithmetic sequence is one where the same number is being added to the number before it. For example, 2, 4, 6, 8..., where 2 is being added to each number.

In this case, however, the number being added is not consistent with this pattern. Between 5 and 9, the difference is 4 and between 9 and 14, the difference is 5, and so forth. This pattern does not follow the rules of an arithemtic sequence.

5 0

3 years ago

Hurry 3(x+4)-5(x-1)<5

Oxana [17]

Answer:

x>6

Step-by-step explanation:

3x+12-5x+5<5

-2x+17<5

-2x<-12

x>6

7 0

3 years ago