All categories

2 years ago

22 . The figure is reflected across line m and then reflected across line n. What is the resulting transformation?

Mathematics

2 answers:

Nikolay [14]2 years ago

5 0

Answer:

22) (B)

24) (D)

25) (D)

28) (B)

29) (D)

Step-by-step explanation:

22) Firstly, the figure is reflected across line m and then the figure is reflected across line n.

The resultant figure is a rotated figure of original figure

(B) Rotation

24) Since there are 12 people sitting in a circle

Total circular angle = 360°

Angle between two people = 360/12 = 30°

Therefore, from Abbey to Kai there are 2 people between them. Hence, angle covered = 60°

From Kai to Haifa there are 3 people.

Angle covered = 90°

(D) is correct

25) Lacy passes the soup in 90° counterclockwise and then 30°.

Now soup is in front of Haifa.

(D) is correct

28)

Coordinates are ((0,2) -----> (x-1,y-3) = (-1,-1)

(-7,3) -------------> (x-1,y-3) = (-8,0)

(03,-2) --------> (-4,-5)

(B) is correct

Reflection of P(0,0) across x= -3, gives the point( -6,0)

And reflection across y=4, gives the point (0,8)

Together the reflected point is P(-6,8).

(D) is correct

OleMash [197]2 years ago

3 0

$22.\\Answer:B\\\\\\24.\\\alpha=360^o:12=30^o\\\\Abbey-Kai\to2\cdot30^o=60^o\\\\Kai-Haifa\to3\cdot30^o=90^o\\\\Answer:D$

$25.\\\alpha=360^o:12=30^o\\\\Lacy+90^o\to(90^o:30^o=3)\to Igor\\\\Igor+30^o\to(30^o:30^o=1)\to Haifa\\\\Answer:D$

$28.\\(x;\ y)\to(x-1;\ y-3)\\\\\vec{a}=[-1;-3]\\\\A(-3;-2)\to A'(-3-1;-2-3)\to A'(-4;-5)\\\\B(0;\ 2)\to B'(0-1;\ 2-3)\to B'(-1;-1)\\\\C(-7;\ 3)\to C'(-7-1;\ 3-3)\to C'(-8;\ 0)\\\\Answer:B$

$29.\\P(0;\ 0)\\\\\Downarrow S_{x=-3}\\\\P'(-6;\ 0)\\\\\Downarrow S_{y=4}\\\\P''(-6;\ 8)\\\\Answer:D$

You might be interested in

Jeremy walks into a video arcade with a pocketful of quarters. He spends them at a rate of four every quarter hour until he runs

sdas [7]

The answer is A as he has all of the quarters when he spends no time in the arcade

5 0

2 years ago

Read 2 more answers

Roberto wants to display his 18 sports cards in an album. Some pages hold 2 cards and others hold 3 cards. How many different wa

WITCHER [35]

<span>65 = number of different arrangements of 2 and 3 card pages such that the total number of card slots equals 18. 416,154,290,872,320,000 = number of different ways of arranging 18 cards on the above 65 different arrangements of page sizes. ===== This is a rather badly worded question in that some assumptions aren't mentioned. The assumptions being: 1. The card's are not interchangeable. So number of possible permutations of the 18 cards is 18!. 2. That all of the pages must be filled. Since the least common multiple of 2 and 3 is 6, that means that 2 pages of 3 cards can only be interchanged with 3 pages of 2 cards. So with that said, we have the following configurations. 6x3 card pages. Only 1 possible configuration. 4x3 cards and 3x2 cards. These pages can be arranged in 7!/4!3! = 35 different ways. 2x3 cards and 6x2 cards. These pages can be arranged in 8!/2!6! = 28 ways 9x2 card pages. These can only be arranged in 1 way. So the total number of possible pages and the orders in which that they can be arranged is 1+35+28+1 = 65 possible combinations. Now for each of those 65 possible ways of placing 2 and 3 card pages such that the total number of card spaces is 18 has to be multiplied by the number of possible ways to arrange 18 cards which is 18! = 6402373705728000. So the total amount of arranging those cards is 6402373705728000 * 65 = 416,154,290,872,320,000</span>

6 0

2 years ago

ratelena [41]

Answer:

The no. of possible handshakes takes place are 45.

Step-by-step explanation:

Given : There are 10 people in the party .

To Find: Assuming all 10 people at the party each shake hands with every other person (but not themselves, obviously) exactly once, how many handshakes take place?

Solution:

We are given that there are 10 people in the party

No. of people involved in one handshake = 2

To find the no. of possible handshakes between 10 people we will use combination over here

Formula : $^nC_r=\frac{n!}{r!(n-r)!}$

n = 10

r= 2

Substitute the values in the formula

$^{10}C_{2}=\frac{10!}{2!(10-2)!}$

$^{10}C_{2}=\frac{10!}{2!(8)!}$

$^{10}C_{2}=\frac{10 \times 9 \times 8!}{2!(8)!}$

$^{10}C_{2}=\frac{10 \times 9 }{2 \times 1}$

$^{10}C_{2}=45$

No. of possible handshakes are 45

Hence The no. of possible handshakes takes place are 45.

4 0

2 years ago

Nathan is out rafting. He rafts 16 miles with the river current. At the end of 16 miles, he turns around and rafts the same dist

Novosadov [1.4K]

S = d/t

st = d

t = d/s

The time going is t1.
The time returning is t2.
The total time is 4 hours, so we have t1 + t2 = 4

The speed of the current is c.
The speed going is 9 + c.
The speed returning is 9 - c.

t1 = 16/(9 + c)

t2 = 16/(9 - c)

t1 + t2 = 16/(9 + c) + 16/(9 - c)

4 = 16/(9 - c) + 16/(9 + c)

1 = 4/(9 - c) + 4/(9 + c)

(9 + c)(9 - c) = 4(9 - c) + 4(9 + c)

81 - c^2 = 36 - 4c + 36 + 4c

81 - c^2 = 72

c^2 = 9

c^2 - 9 = 0

(c + 3)(c - 3) = 0

c + 3 = 0 or c - 3 = 0

c = -3 or c = 3

We discard the negative answer, and we get c = 3.

The speed of the current is 3 mph.

7 0

2 years ago

Read 2 more answers

A recent poll of over 2,000 adults was designed to answer the question "Are adults superstitious?" One survey item concerned the

RSB [31]

Answer:

i think you can divide 2,000 and 30 it might get you the answers if not try these adding multiplucation or subtraction.

8 0

2 years ago