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3 years ago

Part of a shape is drawn.

Mathematics

1 answer:

frosja888 [35]3 years ago

6 0

Answer:

The points of the rotated shape are: (4, 1), (5, 3), (4, 4), (2, 1), (1, 3), (2, 4)

Step-by-step explanation:

From the part of the shape we can see and the symmetry, the missing points are:

(-2, -1)

(-1, -3)

(-2, -4)

Rotation 180° about the origin transforms the point (x, y) into (-x, -y). Applying this rule to our figure, we get:

(-4, -1) -> (4, 1)

(-5, -3) -> (5, 3)

(-4, -4) -> (4, 4)

(-2, -1) -> (2, 1)

(-1, -3) -> (1, 3)

(-2, -4) -> (2, 4)

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Which table represents a linear function

Slav-nsk [51]

Answer:

Option 1

Step-by-step explanation:

Option 1 is the correct answer, because a linear function goes up on the x and y axes by the same amount. In this case, the x-coordinates increase by 1, and the y-coordinates increase by 4.

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2 years ago

4) A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is

lisov135 [29]

Answer:

l=0.1401P\\

w =0.2801P

where P = perimeter

Step-by-step explanation:

Given that a window is in the form of a rectangle surmounted by a semicircle.

Perimeter of window =2l+\pid/2+w

$P= 2l+3.14 (w/2)+w$

Or $P = 2l+2.57w\\l = \frac{P-2.57w}{2}$

To allow maximum light we must have maximum area

Area = area of rectangle + area of semi circle where rectangle width = diameter of semi circle

$A=lw +\pi \frac{w^2}{8}$

$A=lw +\pi \frac{w^2}{8}\\A=w*\frac{P-2.57w}{2}+0.3925w^2\\2A= Pw-2.57w^2+(0.785w^2)\\2A' = P-5.14w+1.57 w\\2A" =-5.14+1.57$

Hence we get maximum area when i derivative is 0

i.e. $P-5.14w+1.57 w=0\\3.57w =P\\w = \frac{P}{3.57} =0.2801P$

$l = \frac{P-2.57w}{2}\\l = 0.1401P$

Dimensions can be

$l=0.1401P\\w =0.2801P$

5 0

3 years ago

Determine how many acute angels are in this figure

Zepler [3.9K]

Answer:21

Step-by-step explanation:

One = <AOB

two= <BOC

three = <COD

four = <DOE

five = <EOF

six = <AOC

Seven = <AOD

Eight = <AOE

Nine = <BOD

Ten = < BOE

Eleven = < BOF

Theres a bunch more but im not listing them

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3 years ago

Represent the geometric series using the explicit formula. 3, −6, 12, −24, … f(n) = 3 ⋅ (2)(n−1) f(n) = 3 ⋅ (−2)(n−1) f(n) = f(n

mr Goodwill [35]

Answer:

$f(n)=(-2)(n-1)$

Step-by-step explanation:

Each term of this Geometric Series (3, −6, 12, −24, ...) can also be found through this explicit formula: $f(n)=(-2)(n-1)$ Because the $n^{th}$ term is found by the product of its common ratio "q", times its predecessor n-1. Where n, refers to the order of the term.

So let's test it, suppose we want to find the 4th term. We know the common ratio and the first term. Then we can write f(n) as:

$\\f(n)=3(-2)^{n-1}$

f(4)=f(3)*-2⇒-24=12*-2⇒-24=-24

The explicit formula is ok.

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3 years ago

How to write out 14x(36-12 devised by 4

Vinvika [58]

My answer would be -84

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3 years ago