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3 years ago

I need help please and thank you

Mathematics

1 answer:

Doss [256]3 years ago

3 0

If you are considering all the vertices independently you will have a total of 8*10 = 80 triangles. You can figure out this way: the sum of the interior angles of a decagon = (2n-4)*right angles or (n-2)*triangles. So a decagon will form 8 triangles.

hope this helps...

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If 4 (x-2/3) = -18, what is the value of 2x

BaLLatris [955]

Answer:

-11.5

Step-by-step explanation:

4(x-2/3)=-18

4x-8/3=-18

4x-8=-18×3

4x-8=-54

4x=-54+8

4x=-46

x=-46/4

x=-11.5

4 0

3 years ago

Please prove this........

Crazy boy [7]

Answer: see proof below

Step-by-step explanation:

Given: A + B + C = π → C = π - (A + B)

→ sin C = sin(π - (A + B)) cos C = sin(π - (A + B))

→ sin C = sin (A + B) cos C = - cos(A + B)

Use the following Sum to Product Identity:

sin A + sin B = 2 cos[(A + B)/2] · sin [(A - B)/2]

cos A + cos B = 2 cos[(A + B)/2] · cos [(A - B)/2]

Use the following Double Angle Identity:

sin 2A = 2 sin A · cos A

Proof LHS → RHS

LHS: (sin 2A + sin 2B) + sin 2C

$\text{Sum to Product:}\qquad 2\sin\bigg(\dfrac{2A+2B}{2}\bigg)\cdot \cos \bigg(\dfrac{2A - 2B}{2}\bigg)-\sin 2C$

$\text{Double Angle:}\qquad 2\sin\bigg(\dfrac{2A+2B}{2}\bigg)\cdot \cos \bigg(\dfrac{2A - 2B}{2}\bigg)-2\sin C\cdot \cos C$

$\text{Simplify:}\qquad \qquad 2\sin (A + B)\cdot \cos (A - B)-2\sin C\cdot \cos C$

$\text{Given:}\qquad \qquad \quad 2\sin C\cdot \cos (A - B)+2\sin C\cdot \cos (A+B)$

$\text{Factor:}\qquad \qquad \qquad 2\sin C\cdot [\cos (A-B)+\cos (A+B)]$

$\text{Sum to Product:}\qquad 2\sin C\cdot 2\cos A\cdot \cos B$

$\text{Simplify:}\qquad \qquad 4\cos A\cdot \cos B \cdot \sin C$

LHS = RHS: 4 cos A · cos B · sin C = 4 cos A · cos B · sin C $\checkmark$

7 0

3 years ago

I really need help, answer as many as you can please

amid [387]

5^2 -7•4+(36-2^(5) so do (36-2^5 first put that in the calculator which gets u 32.Then bring down 5^2-7•4+32 then do 5^2 and 7×4 which 25 -28+32 add them together u get 60 so 25 -60 is 35

6 0

4 years ago

Living with parents: The Pew Research Center reported that 36% of American Millennials (adults ages 18-31) stll live at home wit

Lera25 [3.4K]

Answer:

$\mathbf{The \ sample \ comes \ from \ a \ population \ of \ Millennial \ students }$ $\mathbf{at \ their \ campus\ where \ 3 6\%\ still\ live\ at\ home\ with\ their \ parents}$

Step-by-step explanation:

From the given information.

The proportion of American Millennials still with their parents = 0.36

The sample size = 300

Sample proportion = 0.43

Level of significance = 0.006

P-value = 0.006

Null hypothesis:

$\mathbf{H_o: Of \ Millennial \ students \ at \ their \ campus, \ 36\% \ }$ $\mathbf{ live \ at \ some \ with \ their \ parents . }$

$\mathbf{H_a: More \ than \ 36\% \ of \ Millennial \ students \ at \ their \ campus \ live \ at \ home }$ $\mathbf{ \ with \ their \ parents}$

The required task is to determine the assumption about the sample that underlies the hypothesis test from the given options.

$\mathbf{The \ sample \ comes \ from \ a \ population \ of \ Millennial \ students }$ $\mathbf{at \ their \ campus\ where \ 3 6\%\ still\ live\ at\ home\ with\ their \ parents}$

This is because the student wants to check if the null hypothesis ( which states that of Millennial students at their campus, 36% live at home with their parents) is correct or not.

7 0

3 years ago

Answer choices below: A. -2 B. -3 C. 16 D. 0

Sloan [31]

A.-2 opposite
To positive 2

7 0

3 years ago