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docker41 [41]
3 years ago
9

Geometry! Please help. See image. BRAINLIEST!

Mathematics
1 answer:
Nadya [2.5K]3 years ago
7 0

Answer:

B. r_{x-axis}(x,y) \circ R_0,90\degree)

Step-by-step explanation:

The vertices of triangle ABC have coordinates A(5,2) B(2,4) and C(2,1).

The mapping for reflection in the x-axis is

(x,y)\to (x,-y)

When we reflect triangle ABC in the x-axis, we obtain

A1(5,-2) B1(2,-4) and C1(2,-1).

The mapping for 90 degrees clockwise rotation about the origin is

(x,y)\to (y,-x)

When we rotate the resulting triangle through 90 degrees clockwise above the origin, we obtain;

A2(-2,-5) B2(-4,-2) and C2(-1,-2).

The vertices of triangle A''B''C'' also have coordinates A''(-2,-5) B''(-4,-2) and C''(-1,-2).

Hence the rule that describes the composition of transformation that maps ABC to A''B''C'' is

R_0,90\degree \circ r_{x-axis}(x,y)

The correct choice is B.

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We know that

[volume of a sphere]=(4/3)*pi*r³

length of a circumference=42 ft
[length of a circumference]=2*pi*r-------> r=[length of a circumference]/(2*pi)
r=[42]/(2*pi)---------> r=6.6845 ft

[volume of a sphere]=(4/3)*pi*6.6845³-----------> 1251.11 ft³

the answer is 1251.11 ft³
4 0
3 years ago
You pick a card at random. You put the first card back, and you pick a second card at
Fudgin [204]

Answer:

Step-by-step explanation:

maybe 8 or 1/9

8 0
2 years ago
Kendra found this relationship between the quantities in the table.
slava [35]

Answer:

Kendra should have multiplied the x-values by 75 to get the y-values

Step-by-step explanation:

Given

Table

X|| Y

1 || 75

2 || 150

3 || 225

4 || 300

5 || 375

Given that Kendra multiply x by 7.5 to get y

The relationship of x and y can be calculated as thus;

y = rx

Where y and x are the values at the y and x column respectively and r is the constant of proportionality

When y = 75, x = 1.

Plug in these values in the above formula

y = rx becomes

75 = r * 1

75 = r

r = 75

When y = 150, x = 2

150 = r * 2

Multiply both sides by ½

150 * ½ = r * 2 * ½

75 = r

r = 75

When y = 225, x = 3

225 = r * 3

Multiply both sides by ⅓

225 * ⅓ = r * 3 * ⅓

75 = r

r = 75

Notice that r remains 75 and the difference between y values is 75

If you apply these formula on when y = 300 or 375 and when x = 4 or 5, the constant of proportionality will remain The value of 75.

Hence, Kendra mistake is that; Kendra should have multiplied the x-values by 75 to get the y-values

6 0
3 years ago
Read 2 more answers
Madi has $8.80 in pennies and nickels.
shepuryov [24]
Let p = number of pennies.
Let n = number of nickels.

We are given that n= 2p and the total value is $8.80.

We know that a penny = $0.01 and that a nickel = $0.05.

So $0.01p + $0.05n = $8.80.

Substitute 2p for n:
$0.01p + $0.05*2p = $8.80

$0.01p + $0.10p = $8.80

$0.11p = $8.80

p = 80
So n = 2p = 2*80 = 160

Thus there are 80 pennies ($0.8) and 160 nickels ($8.00). The value of all the coins is $8.80.
7 0
2 years ago
In the following figure, triangle ABC and triangle DEF are similar. What is the value of x ? Triangle ABC and triangle DEF are s
Shtirlitz [24]
X = 25.5 mm.

Using the similarity statement given, that ΔABC ~ ΔDEF, we set up a proportion:

8.5/x = 4/12

Cross multiply:
4*x = 8.5*12
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Divide both sides by 4:
4x/4 = 102/4
x = 25.5
7 0
2 years ago
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