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iren2701 [21]
3 years ago
6

Which expression is equivalent to 4+2(1+3x)?

Mathematics
1 answer:
Likurg_2 [28]3 years ago
7 0

Answer:

6+18x

Step-by-step explanation:

=6(1+3x)

=6×1+6×3x

=6+18x

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Can anyone explain to me how to do this question ? ty !!​
julia-pushkina [17]

Step-by-step explanation:

use a little imagination.

the whole thing is a combination of churches and half- circles.

and you know the formula for the area of a circle ?

A = pi×r²

so, the only difficulty is to find the circles and then the radius of each involved circle.

when you look at the picture, the shaded area is almost identical to the lower half of the main circle.

2 bumps "look" over into the other side, but one equally sized bump is removed from this lower half.

so, as a first step we will calculate the area of the lower half of the main circle.

the diameter is 24 m, so the radius is half of that : 12m

the area of the large circle is therefore

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since we only need the (lower) half, we divide this by 2 :

144×pi / 2 = 72×pi m²

the bumps up and down are actually half-circles too. just of smaller circles.

since AB = BC = CD, we know each of these lines are 1/3 of the main diameter AD.

so, the diameter of the smaller circles is 24/3 = 8 m

and their radius is half of that = 8/2 = 4m

the area of such a small circle is therefore

As = pi×4² = 16×pi m²

and a small half-circle area is then

16×pi / 2 = 8×pi m²

so, for the full shaded area I need to take the large half-circle and add 2 small half-circles, and then subtract 1 small half-circle.

so, in total I only need to add 1 small half-circle.

Ashaded = 72×pi + 8×pi = 80×pi m²

5 0
3 years ago
Which describes the cris section of the cube that passes through the vertices A, B, and C shown below? A rectangle that is not a
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Answer: 6.71

Step-by-step explanation: Using the Pythagorean Theorem, we know that a^2 + b^2 = c^2. Substitute a and b with 6 and 3 respectively and we get 6^2 + 3^2 = c^2. Then 36 + 9 = c^2. Next, 45 = c^2, so we take the square root of 45 and round it to the nearest hundredth, giving the answer of 6.71.

3 0
3 years ago
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