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nikdorinn [45]
3 years ago
15

Denise proposes the following transformation rule for this rotation:

Mathematics
1 answer:
NeTakaya3 years ago
8 0

Answer:

The proposed rule correctly works.

Step-by-step explanation:

As the original triangle has the vertices with the coordinates

  • A(-6, 6)
  • B(-6, 1)
  • C(-2, 1)

From the given diagram, the image of the triangle has the vertices

A'(10, 4)

B'(5, 4)

C'(5, 0)

According to the proposed rule, the image should have the following vertices.

(x,y) ➝ (y+4, -x-2)

A(-6, 6) ➝ (6+4, -(-6)-2) = A'(10, 4)

B(-6, 1) ➝ (1+4, -(-6)-2) = B'(5, 4)

C(-2, 1) ➝ (1+4, -(-2)-2) = C'(5, 0)

So, the coordinates of the image of the triangle are correctly drawn as per the proposed rule.

Therefore, the proposed rule correctly works.

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Total surface of a hemisphere. please help i’ll give u brainliest if u help mw
stiks02 [169]

Answer:

602.9 cm²

Step-by-step explanation:

==>Given:

A hemisphere with radius of 8cm

π = 3.14

==>Required:

Total surface area of hemisphere

==>Solution:

The total surface area of the hemisphere (TSA) = Curved surface area of hemisphere (CSA)+ base area (BA)

If surface area of a sphere is given as 4πr², therefore, the area of a hemisphere would be ½ of 4πr² = 2πr²

CSA = 2πr²

Base area (BA) = area of circle = πr²

Thus, TSA = 2πr2 + πr2 = 3πr2

TSA of hemisphere = 3 × 3.14 × 8²

TSA = 3 × 3.14 × 64

TSA = 602.88

TSA of hemisphere = 602.9 cm² (approximated to 1 decimal place)

7 0
3 years ago
Write the following comparison 150 minutes to 5 hours
Sloan [31]
The answer to the question

4 0
3 years ago
the amount of sales tax on a clothing purchase is directly proportional to the purchase price of the clothing. the sale tax on a
salantis [7]

9514 1404 393

Answer:

  7%

Step-by-step explanation:

The tax rate is the ratio of tax to pre-tax cost:

  $4.20/$60.00 = 0.07 = 7%

The constant of variation (tax rate) is 7%.

6 0
3 years ago
You have $10,000 to invest in a stock portfolio. Your choices are Stock X with an expected return of 13 percent and Stock Y with
Alex Ar [27]

The money invested in stock X is $8,800.

Given,

Total investment in stock portfolio=$10000

Expected return from stock X=13%=0.13

Expected return from stock Y=8%=0.08

Expected return from portfolio=12.4%=0.124

The portfolio return is calculated by taking the weighted average of individual stock returns.

Let x represent the portfolio weightage of stock X.

1-x is the portfolio weightage of stock Y.

money invested in stock X be

0.124=0.13x+0.08(1-x)

0.124=0.13x+0.08-0.08x

0.124-0.08=0.05x

0.044=0.05x

x=0.88

money invested in stock X=0.88*10000=$8800

Thus, the money invested in stock X is $8,800.

To learn more about percentages refer here

brainly.com/question/26718419

#SPJ4

4 0
1 year ago
What is an operation
fenix001 [56]
Addition subtraction multiplication or division
5 0
3 years ago
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