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Alchen [17]
3 years ago
10

The shortest side of an isosceles triangle is 3x - 4 inches long. The two longer sides are each 7 inches longer

Mathematics
1 answer:
Olenka [21]3 years ago
8 0

Answer:

47

Step-by-step explanation:

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1) Simplify the following expressions: a) sin²108° + sin² 18° ​
abruzzese [7]

Note that

108° = 90° + 18°

so

sin(108°) = sin(90° + 18°) = sin(90°) cos(18°) + cos(90°) sin(18°) = cos(18°)

Then

sin²(108°) + sin²(18°) = cos²(18°) + sin²(18°) = 1

by the Pythagorean identity.

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2 years ago
At a local print shop, 14 copies can be made for $4. At this rate, how much would it
JulijaS [17]
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3 years ago
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A town’s population went from 25,000 to 32,000 in 3 years. What was the percent of change?
Kazeer [188]

Answer:

28% increase

Step-by-step explanation:

your welcome *bows*

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3 years ago
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A Pentagon is transformed according to the rule R0, 180°. Which is another way to state the transformation?
postnew [5]

The another way to state the transformation would be (x,y)>(-x,-y)

<u>Solution:</u>

Rotation about the origin at 180^\circ: R_{180^\circ}A \rightarrow O = R_{180^\circ} (x, y) \rightarrow (-x,-y)

The term R0 means that the rotation is about the origin point. Therefore, (R0,180) means that we are rotating the figure to 180^\circ about the origin.

So, the transformation of the general point (x,y) would be (-x,-y) when it is rotated about the origin by an angle of 180^\circ.

Hence according to the representation, the expression would be (x, y) \rightarrow (-x, -y).

8 0
3 years ago
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Solve each equation with the quadratic formula. (Show work please)
Snowcat [4.5K]

Answer:

Let b=x

Such that b^2 =8b-8 will x^2=8x-8

Using the almighty quadratic formula

x1={-b+sqrt (b^2-4ac)}/2a

x2={-b-sqrt (b^2-4ac)}/2a

From the question

a=1

b=8

c=-8

x1={-8+sqrt (8^2-4(-8))}/2

x1=(-8+5.66)/2

x1=-1.17

x2={-8-sqrt (8^2-4(-8))}/2

x2=(-8-5.66)/2

x2=-6.83

:.(x1,x2)=(-1.17,-6.83)

Step-by-step explanation:

3 0
3 years ago
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