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3 years ago

There are four highlights in the paragraph that show equations or phrases

Mathematics

1 answer:

aivan3 [116]3 years ago

4 0

A reflection across the line y=0 (AKA the x-axis)

and then across the line x=0 (AKA the y-axis)

is the same as a rotation of 180º

clockwise about the origin because the lines intersect at the origin and at a 90º angle.

While all of that is true, you could also be more general, because reflecting over any two lines that intersect at the origin will result in a rotation about the origin and have an angle of rotation equal to twice that of the acute angle formed between the intersecting lines.

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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 50, 60,72,... Find the 8th term.

Vadim26 [7]

Answer:

179.159

Step-by-step explanation:

Given the sequence :

50, 60, 72,..

The sequence given is a geometric sequence :

For a geometric sequence ;

ar^(n - 1)

a = first term

r = a2 / a1 = 60 / 50 = 1.2

The 8th term ; n =8

a8 = ar^(n - 1)

a8 = 50*1.2^(8 - 1)

a8 = 50*1.2^7

a8 = 50*3.5831808

a8 = 179.15904

a8 = 179.159 (nearest thousandth )

8 0

3 years ago

HI CAN I GET SOMEONE TO HELP ME WITH MATH IM FAILING TY! :)

oksano4ka [1.4K]

Answer:

20 square meters

Step-by-step explanation:

area = length x width

area of grass = 4 x 4 = 16

area of grass and cement = 6 x 6 = 36

<em>Now you subtract to find the area of the cement.</em>

36 - 16 = 20

3 0

3 years ago

This is urgent please help

Shtirlitz [24]

Answer:

C is the answer i

Step-by-step explanation:

4 0

3 years ago

Find the perimeter of the quadrilateral that has vertices at (8,13), (5,-18), (-6,-6), and (-2,-5).

kodGreya [7K]

Answer:

72.14 units

Step-by-step explanation:

Let A(8,13), B(5,-18),C(-6,-6) and D(-2,-5)

Apply the distance formula as;

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Finding the lengths of the segments

For AB

$AB=\sqrt{(5-8)^2+(-18-13)^2} =\sqrt{(-3^2)+(-31^2)} =\sqrt{970} =31.14$

For BC

$BC=\sqrt{(-6-5)^2+(-6--18)^2} =\sqrt{(-11^2)+12^2} =\sqrt{265} =16.28$

For CD

$CD=\sqrt{(-2--6)^2+(-5--6)^2} =\sqrt{4^2+1^2} =\sqrt{16+1} =\sqrt{17} =4.12$

For DA

$DA=\sqrt{(8--2)^2+(13--5)^2} =\sqrt{10^2+18^2} =\sqrt{424} =20.6$

Finding the perimeter will be;

31.14+16.28+4.12+20.6=72.14 units

3 0

3 years ago

How can I solve this question???

eduard

Answer:

144°

Step-by-step explanation:

step 1

Find the measure of the central angle of the regular pentagon

Divide 360 degrees by 5 (the number of sides)

$360\°/5=72\°$

Let

c----> the center of the pentagon

we know that

m∠ECA=72°

m∠ACB=72°

therefore

m∠ECB=m∠ECA+m∠ACB

substitute the values

m∠ECB=72°+72°=144°

The measure of angle ECB is equal to the degrees that the pentagon rotate

5 0

3 years ago