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asambeis [7]
3 years ago
12

Big boy points for big boy question

Mathematics
2 answers:
Jobisdone [24]3 years ago
8 0

36 \sqrt{3}+ 72

The length of the rectangle = diameter of 2 circles = 4 × 3 = 12 mm

The width of the rectangle = 2 radii + distance d between radii ( lower to upper )

Using the right triangle formed by joining the 3 centres with legs 3 and d and hypotenuse 6

Using Pythagoras' identity, then

d² + 3² = 6²

d² + 9 = 36 ( subtract 9 from both sides )

d² = 27 ( take the square root of both sides )

d =  = 3

Thus width of rectangle = 3 + 3 + 3 = 6 + 3

Hence

area = length × width

       = 12 × (6 + 3 ) = 36 + 72 mm ²

trapecia [35]3 years ago
7 0

Answer:

36\sqrt{3} + 72

Step-by-step explanation:

The length of the rectangle = diameter of 2 circles = 4 × 3 = 12 mm

The width of the rectangle = 2 radii + distance d between radii ( lower to upper )

Using the right triangle formed by joining the 3 centres with legs 3 and d and hypotenuse 6

Using Pythagoras' identity, then

d² + 3² = 6²

d² + 9 = 36 ( subtract 9 from both sides )

d² = 27 ( take the square root of both sides )

d = \sqrt{27} = 3\sqrt{3}

Thus width of rectangle = 3 + 3\sqrt{3} + 3 = 6 + 3\sqrt{3}

Hence

area = length × width

        = 12 × (6 + 3\sqrt{3} ) = 36\sqrt{3} + 72 mm ²

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What does x equals to if 3( x + 7 ) =57
zepelin [54]

3(x + 7) = 57 |÷3

x + 7 = 57/3

x + 7 = 19 |-7

x = 19 - 7

x = 12

7 0
2 years ago
Craig has a rectengular deck that measures 799 inches and 245 inches premeter and if the addtional deck is 33 inches longer,what
melomori [17]

Answer:

The length of the lights is 2088 inches

Step-by-step explanation:

<em>The question is mixed up with another (See comment for correct question)</em>

Given

Length = 799in

Width = 245in

Required

The perimeter of the deck (this is what the question implies)

The perimeter (P) is:

P =  2 * (Length + Width)

P =  2 * (799 + 245)

P =  2 * 1044

P =  2088

3 0
3 years ago
Which is the graph of f(x)= square root of x
insens350 [35]
Hello!

The answer for f(x) = sqrt x is the image below. It is neither of these, so check to see if you have more answer choices. (Just make sure to pay attention to the x- and y-values that the graph is plotted on below)

I hope this helps :))

4 0
3 years ago
This question is from the tangent ratio section in our chapter and im not sure how to solve for this
VladimirAG [237]
The large triangle is an isosceles since both angles at the base each equal 42°.
In an isosceles triangle the altitude z is at the same time median , then it bisects the opposite side in the middle . So w = 120/2 = 60

Now let's calculate z:
 tan 42° = (opposite side) / (adjacent side) = z/60
tan 42° = 0.9,
0.9 = z/60 and z = 54
6 0
3 years ago
Points A, B, and C are collinear. Point B is between A and C. BC=8x+709. AB=487+5x. AC=91. Find BC.
Zolol [24]

Answer:

<h3>            BC = 29</h3>

Step-by-step explanation:

Point B is between A and C and the points A, B, and C are collinear so:

AB + BC = AC

487 + 5x + 8x + 709 = 91

  13x + 1196 = 91

       - 1196      - 1196

   13x  =  - 1105

     ÷13     ÷13

    x = - 85

BC =  8x + 709 = 8(-85) + 709 = - 680 + 709 = 29

7 0
3 years ago
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