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3 years ago

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Mathematics

1 answer:

Leya [2.2K]3 years ago

6 0

9514 1404 393

Answer:

clockwise
90°
origin

Step-by-step explanation:

The answer statement tells you the transformation is a rotation. The original is in the 2nd quadrant, and the image is in the 1st quadrant, representing a clockwise rotation. AB points east, while A'B' points south, a rotation of 90° (clockwise). Each image point is the same distance from the origin as its preimage point. The origin is the center of rotation.

∆ABC is transformed by a clockwise rotation 90 degrees with a center at the origin .

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3/4 x 3 2/5 - 5/5(find the value of each of the following)

Triss [41]

The value of the given expression is $\frac{-13}{20}.$

Solution:

Given expression is $\frac{3}{4} \times3\frac{2}{5}-\frac{5}{5}$ .

Let us first convert mixed fraction into improper fraction.

$3\frac{2}{5}=\frac{(3\times5)+2}{5}=\frac{17}{5}$

Substitute this in the given expression.

$\frac{3}{4} \times3\frac{2}{5}-\frac{5}{5}=\frac{3}{4} \times\frac{7}{15}-\frac{5}{5}$

$=\frac{21}{60}-\frac{5}{5}$

To simplify the above expression, 21 and 60 are cancelled by 3.

$=\frac{7}{20}-\frac{1}{1}$

Do cross multiplication to make the denominator same.

$=\frac{7}{20}-\frac{20}{20}$

$=\frac{7-20}{20}$

$=\frac{-13}{20}$

The value of the given expression is $\frac{-13}{20}.$

7 0

3 years ago

What is the slope of the line represented by the equation y= x/6-5?

Alexxandr [17]

Slope of y= x/6-5 = 1/6

4 0

3 years ago

The arithmetic mean (average) of four numbers is 85. If the largest of these numbers is 97, find the mean of the remaining three

Margaret [11]

Answer:

Step-by-step explanation:

Let's do this systematically:

Four numbers: a, b, c, d

Whose mean is 85: $\frac{a + b + c + d}{4} = 85$

Whose largest number is 97: $\frac{a + b + c + 97}{4} = 85$

Lets solve for the other numbers:

a+b+c+97 = 85*4 = 340

340 - 97 = 243

a+b+c = 243

at this point it doesn't matter what the numbers are, they just need to add up to 243.

We can do 243÷3=81, which is our answer

3 0

3 years ago

Look at this sequence of numbers: 0, 1, 2, 4, 6, 9, 12, 16, ? - what number should replace the question mark?

andreev551 [17]

Answer:

Step-by-step explanation:

0 to 1 = a difference of 1

1 to 2 = a difference of 2-1 = 1

===============

2 to 4 = a difference of 2

4 to 6 = a difference of 2

===============

6 to 9 = a difference of 3

9 to 12 = a difference of 3

===============

12 to 16 = a difference of 4

16 to 20 = a difference of 4

4 0

3 years ago

Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die shows 1; B: the numbers add to 4

kirill115 [55]

Answer: Third option is correct.

Step-by-step explanation:

Since we have given by

Event A: the red die shows 1

Event B : the numbers add to 4

Event C: at least one of the numbers is 3

Event D : the numbers do not add to 9.

D' means the number add to 9.

We need to write the following statement in symbolic form:

Either the numbers add to 9 or the red die shows a 1.

So, it becomes,

$D'\cup A$

Number of elements in D'∪A = 1.

Hence, Third option is correct.

5 0

4 years ago