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1 year ago

The area of a parallelogram is 31. 5 ft2 and the height is 6. 3 ft. What is the length of the base? 36 ft 24 ft 10 ft 5 ft.

1 answer:

4 0

If the area of a parallelogram is given as with a height of , we can refer back to the equation for the area of a parallelogram: \displaystyle A= b \cdot h, where is height and is the length of the base.

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How do I answer this question

viva [34]

$\text{The formula of a circle with a center (h; k) and a radius r}\\\\(x-h)^2+(y-k)^2=r^2\\\\x^2+y^2=4\to (x-0)^2+(y-0)^2=2^2\\\\\text{therefore we have the circle with a center (0; 0) and a radius 2}\\\\x-y=1\ \ \ |-x\\-y=1-x\ \ \ |\cdot(-1)\\y=x-1\\\\for\ x=0\to y=0-1=-1\to(0;-1)\\for\ x=1\to y=1-1=0\to(1;\ 0)\\\\\text{Look at the picture}$

4 0

3 years ago

Find the sum of all natural numbers between 25 and 210 which are either divisible by 3 or divisible by 4? Please let me know I

Ray Of Light [21]

Let S be the sum of the integers 25-210:

S = 25 + 26 + 27 + … + 208 + 209 + 210

Let S₃, S₄, and S₁₂ denote the sums of the integers in S that are multiples of 3, 4, or 12, respectively. We'll also count how many terms each sum involves; it'll be useful later.

S₃ = 27 + 30 + 33 + … + 204 + 207 + 210 … … … (62 terms)

S₃ = 3 (9 + 10 + 11 + … + 68 + 69 + 70)

S₄ = 28 + 32 + 36 + … + 200 + 204 + 208 … … … (46 terms)

S₄ = 4 (7 + 8 + 9 + … + 50 + 51 + 52)

S₁₂ = 36 + 48 + 60 + … + 180 + 192 + 204 … … … (15 terms)

S₁₂ = 12 (3 + 4 + 5 + … + 15 + 16 + 17)

Let's look at S₃ :

S₃ = 3 (9 + 10 + 11 + … + 68 + 69 + 70)

By reversing the order of the sum, we get

S₃* = 3 (70 + 69 + 68 + … + 11 + 10 + 9)

Of course S₃ = S₃*, I'm just calling it something else temporarily. Notice that every term in the same position of either sum adds up the same number.

9 + 70 = 79

10 + 69 = 79

11 + 68 = 79

and so on. Then

S₃ + S₃* = 3 (79 + 79 + 79 + … + 79 + 79 + 79)

2S₃ = 3 × 62 × 79 ==> S₃ = 7,347

We can compute the other two sums in the same way.

S₄ = 4 (7 + 8 + 9 + … + 50 + 51 + 52)

S₄* = 4 (52 + 51 + 50 + … + 9 + 8 + 7)

==> 2S₄ = 4 × 46 × 59 ==> S₄ = 5,428

S₁₂ = 12 (3 + 4 + 5 + … + 15 + 16 + 17)

S₁₂* = 12 (17 + 16 +15 + … + 5 + 4 + 3)

==> 2S₁₂ = 12 × 15 × 20 ==> S₁₂ = 1,800

Then the sum you want is

S₃ + S₄ - S₁₂ = 10,975

We subtract S₁₂ because each of its terms is counted twice (once in S₃ and again in S₄).

6 0

2 years ago

FIND THE PERIMETER!!!!

luda_lava [24]

The perimeter of this shape is 92 in.

The perimeter of a shape is equal to the sum of all its side lengths. That means to find the perimeter, we need to add up the lengths of all the sides.

35 in. + 35 in. + 11 in. + 11 in. =
=70 in. + 22 in. =
=92 in.

That means that the perimeter of this shape is 92 in.

5 0

2 years ago

Will mark as brainlest PLz help

rosijanka [135]

Answer:

27 $\pi$ OR 84.78