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pentagon [3]
3 years ago
13

I need help with 9-12 ASAP its due tomorrow.

Mathematics
1 answer:
mixas84 [53]3 years ago
7 0
9) yes it is similar : it does not have to be congruent
10) scale factor: 2 (inside) :3 (outside)
11) ratio:  16 (inside) : 24 (outside)
12) Yes they are similar

hope this helps
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I will give 5 points
ikadub [295]

Use the sum of cubes factoring rule

a^3 + b^3 = (a+b)(a^2 - ab + b^2)

to transform the left hand side into the right hand side.

\frac { \sin^{3} \theta + \cos^{3} \theta } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\\frac { (\sin \theta + \cos \theta)(\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta) } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\

\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta = 1 - \sin \theta \cdot \cos \theta\\\\(\sin^2 \theta + \cos^2\theta)- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta\\\\1- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta \ \ \checkmark\\\\

Throughout the entire process, the right hand side stayed the same.

On the last step, I used the pythagorean identity.

8 0
1 year ago
what is the equation of a line that passes through the point (1,3) and is parallel to a line with a slope of -2?
natta225 [31]

Answer:

Step-by-step explanation:

y - 3 = -2(x - 1)

y - 3 = -2x + 2

y = -2x + 5

3 0
2 years ago
Identify the vertex of y = x2 + 4x + 5.
Xelga [282]
ANSWER

The vertex is (-2,1)

EXPLANATION

We want to find the vertex of

y = {x}^{2} + 4x + 5

We complete the square to obtain,

y = {x}^{2} + 4x + {(2})^{2} - {(2})^{2} + 5

The first three terms forms a perfect square trinomial.

y = {(x + 2})^{2} - 4 + 5

The vertex form is

y = {(x + 2})^{2} + 1


This equation is in the form;

y = a{(x -h})^{2} + k


where (h,k)=(-2,1) is the vertex.
4 0
2 years ago
Read 2 more answers
I just need the awnser please
GrogVix [38]

Answer:

The surface area is 294 ft^2 (please give branliest)

Step-by-step explanation:

area of one side 49

multiply by 6 sides

8 0
2 years ago
Please help out explanation need it
prisoha [69]

Answer:

A=2(wl+hl+hw)

A=2(6ft×7ft+6ft×7ft+6ft×6ft)

A=2(42ft²+42ft²+36ft²)

A=2(120ft²)

A=240ft²

Step-by-step explanation:

8 0
3 years ago
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