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EleoNora [17]
2 years ago
12

The Rotation R maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation.

Mathematics
2 answers:
Andru [333]2 years ago
7 0
It is B. Since each angle is 60 degrees, if you rotate B counterclockwise 6 times, it means that you rotated B 360 degrees. Therefore, the image of B would be B.
AleksAgata [21]2 years ago
6 0

Answer:

B will be at same place after all six rotations.

Step-by-step explanation:

If rotation maps to 60^{\circ}

Then [tex]R^6[tex] means six rotations .

The given B after one rotation will shift in place of A

After second rotation will shift in place of F

After third rotation will shift in place of E

After fourth rotation will shift in place of D

After fifth rotation will shift in place of C

After sixth rotation will shift in place of B itself.

Therefore, B will come back to same place after all the required rotations.

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The equation ​ yˆ=−6.2x2+51.5x+10.2 ​ approximates the average number of cars that pass through an intersection x hours after 3:
Mars2501 [29]
Notice that form 3 pm to 6:30 pm 3.5 hours have passed.
Since the function y=-6 x^{2} +51.5x+10.2 represent the average number of cars that pass through an intersection x hours after 3:00 p.m, we are going to replace x with 3.5 to find <span>the average number of cars that pass through the intersection at 6:30 p.m
</span>y=-6 x^{2} +51.5x+10.2
y=-6 (3.5)^{2} +51.5(3.5)+10.2
y=-6(12.25)+180.25+10.2
y=-73.5+190.45
y=116.95

We can conclude that the <span>average number of cars that pass through an intersection at 6:30 pm is approximately 117. </span>
8 0
2 years ago
Read 2 more answers
Consider this formula. z = y x If z = 4.0 and y = 8.4 , what is the value of x ? Express your answer to the tenths place (i.e.,
marysya [2.9K]

Answer:

x=2.1

Step-by-step explanation:

z=\frac{y}{x}

we are given with values z = 4.0 and y = 8.4

Substitute the given values in the equation and solve for x

Plug in 4.0 for z  and 8.4 for y in the equation

z=\frac{y}{x}

4.0=\frac{8.4}{x}

multiply x on both sides

4.0x=8.4

divide both sides by 4.0

x=\frac{8.4}{4.0}=2.1

x=2.1

3 0
2 years ago
b) A fruit seller bought some mangoes for Rs 500. He sold them at 10% loss. If he wants to make a profit of 12.5% without increa
avanturin [10]

Answer:

New CP = Rs 387.5

Step-by-step explanation:

Cost Price = Rs. 500

Loss %age = 10% of 500

So, Loss = Rs 50

<u><em>Finding the selling price:</em></u>

Selling Price = CP - Loss

SP = 500 - 50

SP = Rs 450

Now, The fruit seller wants to gain a profit of 12.5% without changing the selling Price:

<u><em>Firstly, Let's talk about the Profit :</em></u>

Profit %age = 12.5% of 500

Profit = 12.5 * 5

Profit = Rs 62.5

He wants to gain a profit of Rs 62.5

<u><em>So, The cost Price</em></u>

The cost price would be reduced by Rs 62.5

New CP = 450 - 62.5

New CP = Rs 387.5

4 0
2 years ago
How many units of a 10% solution are needed to prepare 500 units of a 2% solution?
Akimi4 [234]
First find how many units of solution there is:

500* 2% = 500(.02) = 10 units

You need 10 units of solution in 'x' units of a 10% solution.

x*10% = 0.1x = 10 units   ----->  x = 10/0.1 = 100

100 units are needed
8 0
2 years ago
Find the missing term in the following sequence ? 1, 4, 11, 26, 57, 120, ______
Marysya12 [62]

Answer:

247

Step-by-step explanation:

1,4,11,26,57,120. see the pattern that emerges from the series:

4–1 = 3; 3–1 = 2 = 2^1

11–4 = 7; 7 - 3 = 4 = 2^2

26 - 11 = 15; 15 - 7 = 8 = 2^3

57 - 26 = 31; 31 - 15 = 16 = 2^4

120 - 57 = 63; 63 - 31 = 32 = 2^5

so the next number should be 64+63 = 127+120 = 247.

check: 247–120 = 127; 127–63 = 64 = 2^6. correct.

so the next number is 247. 2^n+(n-1)

5 0
2 years ago
Read 2 more answers
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