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3 years ago

Classify each scale factor as a contraction or an expansion. 3/2, 1/3, 4, 2/5, 4/3, 1/4.

1 answer:

8 0

The question is asking to state if those following scale factors are consider as contraction or expansion, base on my research and further analysis, the possible answer are the following:
3/2 expansion
1/3 contraction
4 contraction
2/5 contraction
4/3 expansion
1/4 contraction

I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarifications

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Look at the triangles shown below.

Sophie [7]

Answer:

Variant c

Step-by-step explanation:

c²=4*9

c=6

You can apply phyphagor

b²=6²+9²=36+81=117

$3 \sqrt{13}$

4 0

3 years ago

What is the ratio between the LCM of 180 and 594 and the GCF of 180 and 594

aalyn [17]

$180:2=90\\90:2=45\\45:3=15\\15:3=5\\5:5=1\\\\180=\boxed{2}\cdot2\cdot\boxed{3}\cdot\boxed{3}\cdot5\\\\594:2=297\\297:3=99\\99:3=3\\33:3=11\\11:11=1\\\\594=\boxed{2}\cdot\boxed{3}\cdot\boxed{3}\cdot3\cdot11$

$LCM(180,\ 594)=\boxed{2}\cdot\boxed{3}\cdot\boxed{3}\cdot2\cdot3\cdot5\cdot11=5940\\\\GCF(180,\ 594)=\boxed{2}\cdot\boxed{3}\cdot\boxed{3}=18$

5 0

3 years ago

Evaluate the following when a= 1 ,b=3,and c =27 ( a) 6a^2+ 2bc-2c^1/3

Dennis_Churaev [7]

Answer:

6a^2+ 2bc-2c^1/3 = 162

Step-by-step explanation:

a = 1
b = 3
c = 27

$\rm 6 {a}^{2} + 2bc - 2 {c}^{ \frac{1}{3} }$

$= 6 {(1)}^{2} + 2(3)(27) - 2( {27)}^{ \frac{1}{3} }$

$\rm = 6 + 162 - 2 ( \sqrt[3]{27} )$

$\rm = 168 - 2(3)$

$\rm = 168 - 6$

$\boxed{\rm = 162}$

5 0

3 years ago

I need help with this. Thanks I need to find the degree

scoundrel [369]

Answer:

119.05°

Step-by-step explanation:

In general, the angle is given by ...

θ = arctan(y/x)

Here, that becomes ...

θ = arctan(9/-5) ≈ 119.05°

_____

Comment on using a calculator

If you use the ATAN2( ) function of a graphing calculator or spreadsheet, it will give you the angle in the proper quadrant. If you use the arctangent function (tan⁻¹) of a typical scientific calculator, it will give you a 4th-quadrant angle when the ratio is negative. You must recognize that the desired 2nd-quadrant angle is 180° more than that.

It may help you to consider looking at the "reference angle." In this geometry, it is the angle between the vector v and the -x axis. The coordinates tell you the lengths of the sides of the triangle vector v forms with the -x axis and a vertical line from that axis to the tip of the vector. Then the trig ratio you're interested in is ...

Tan = Opposite/Adjacent = |y|/|x|

This is the tangent of the reference angle, which will be ...

θ = arctan(|y| / |x|) = arctan(9/5) ≈ 60.95°

You can see from your diagram that the angle CCW from the +x axis will be the supplement of this value, 180° -60.95° = 119.05°.

3 0

4 years ago

NEED HELP ON ANSWERING NUMBERS 12, 13, 14,15 PLEASE 15 points

Ilya [14]

Just by looking at 14 it will be non linear since any equation that has an exponent will automatically be non linear and will not form a straight line. 13 would be linear as when you subtract x from both sides you’ll have a straight line meaning it’s linear. And 12 will be linear because the equation once into y=mx+b format it will be y=-2x/3+7/3 making a straight line if graphed correctly.

4 0

3 years ago