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3 years ago

Find the perimeter and area of the rectangle below. A rectangle ABCD with vertices A(2,3), B(2,8), C(5,8), and D(5,3)

Mathematics

1 answer:

Alex3 years ago

5 0

Answer:

P = 16 inches

A = 15 square inches

Step-by-step explanation:

The rectangle has a length from (2,3) to (2,8) which is a vertical distance of 5 units since 8-3=5. The rectangle has a width of (2,8) to (5,8) which is a horizontal distance of 3 units since 5-2 =3

This means the rectangle is 5 units by 3 units.

The perimeter of a rectangle is equal to P = 2b+2h where b=base and h=height. Here the base is 5 units and the height is 3 units.

P = 2*5 + 2*3

P = 10 + 6

P = 16 inches

The area of a rectangle is A = b*h. Substitute b=5 and h=3.

A= 5*3

A = 15 square inches

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On a Timeline a milestone 11 years in the future will be the ___ of a milestone 20 years in the future and to the ___ of a miles

Katen [24]

Answer:

On a Timeline a milestone 11 years in the future will be the 11/20 of a milestone 20 years in the future and to the 11/25 of a milestone 25 years in the future.

Step-by-step explanation:

Milestone - 20 years in the future.

$x = \frac{11\,yr}{20\,yr}$

Milestone - 25 years in the future.

$y = \frac{11\,yr}{25\,yr}$

5 0

3 years ago

The operation * on the set Z of integers is defined by x*y = 3x + 2y - 1, x, y E Z. Find the value of x such that x*2=5

Assoli18 [71]

Answer:

x = 2/3

Step-by-step explanation:

Let's unpack the equation $x*2=5$ from our definition of $*$ :

$x*2=3x+2(2)-1=5$ (where $x\in \mathbb{Z}$ )

Now that we've got things defined in terms of familiar operations, we can simplify and solve for x:

$3x+2(2)-1=5\\3x+4-1=5\\3x+3=5\\3x=2\\x=2/3$

8 0

2 years ago

Two angles of a triangle have the same measure and the third one is 18 degrees greater than the measure of each of the other two

kvv77 [185]

Answer:

72°

Step-by-step explanation:

Let the 2 equal angles be x then the third angle is x + 18

The sum of the 3 angles in a triangle = 180°, thus

x + x + x + 18 = 180, that is

3x + 18 = 180 ( subtract 18 from both sides )

3x = 162 ( divide both sides by 3 )

x = 54

Hence

the largest angle = x + 18 = 54 + 18 = 72°

4 0

3 years ago

Lol what do I put so stuck

Sindrei [870]

Answer:

[See Below]

Step-by-step explanation:

Look at the "Fraction" column, all the fractions in this column must add up to 1 (because the whole bag contains only Red, Green, Blue or Other coloured beads).

So we work out the sum of missing fractions: $\frac{1}{12} + \frac{1}{4} = \frac{1}{12} + \frac{3}{12} = \frac{4}{12} = \frac{1}{3}$

And so we know the fractions in the missing boxes must add up to $1 - \frac{1}{3} = \frac{2}{3}$ .

This means that the number of blue and green beads is 2/3rds of the total number of beads in the bag. There are 12+4=16 blue+green beads so

$\frac{2}{3} \times \text{Number of beads} = 16 \Rightarrow \text{Number of beads} = 24$ .

So if there are 24 beads in the bag, then the red beads are 1/12th of 24 which is 2 and the other beads are 1/4 of 24 which is 6.

Finally to complete the missing fractions: there are 12 blue beads and 24 in total so the fraction of blue beads is 12/24 = 1/2. Similarly, there are 4 green beads so the fraction of green beads is 4/24 = 1/6.

(I thought this was a very tricky question. Let me know in the comments if something doesn't make sense, or if you need more explanation on any part, or even if you spot an easier way to do it that I can't.)

5 0

3 years ago

I NEED THIS TO BE CORRECT, I WILL GIVE ANYTHING!!

Andrew [12]

Answer:

a) 105 degrees

b) 75

c) 105

Step-by-step explanation:

a) 180-75 is 105 (supplementary angles)

b) same angle as kings ave and 4th street. (supplementary angles)

c) 180-75 is 105 (also vertical angle rule)

3 0

3 years ago