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Lapatulllka [165]
3 years ago
14

Which letter in the word HAPPY has an order 2 rotational symmetry?

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
4 0

Answer:

H

Step-by-step explanation:

Rotational symmetry is when an object is rotated around a center point (turned) a number of degrees and the object appear the same. The order of symmetry is the number of positions the object looks the same in a 360-degree rotation

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In △ABC, AB = 13.2m,
luda_lava [24]

Answer:

(i) ∠ABH  = 14.5°

(ii) The length of AH = 4.6 m

Step-by-step explanation:

To solve the problem, we will follow the steps below;

(i)Finding  ∠ABH

first lets find <HBC

<BHC + <HBC + <BCH  = 180°  (Sum of interior angle in a polygon)

46° + <HBC  + 90 = 180°

 <HBC+ 136°  = 180°

subtract 136 from both-side of the equation

 <HBC+ 136° - 136°  = 180° -136°

 <HBC  = 44°

lets find <ABC

To do that, we need to first find <BAC

Using the sine rule

\frac{sin A}{a} =  \frac{sin C}{c}

A = ?

a=6.9

C=90

c=13.2

\frac{sin A}{6.9} = \frac{sin 90}{13.2}

sin A = 6.9 sin 90  /13.2

sinA = 0.522727

A = sin⁻¹ ( 0.522727)

A ≈ 31.5 °

<BAC  = 31.5°

<BAC + <ABC + <BCA = 180° (sum of interior angle of a triangle)

31.5° +<ABC + 90° = 180°

<ABC  + 121.5°  = 180°

subtract 121.5° from both-side of the equation

<ABC  + 121.5° - 121.5°  = 180° - 121.5°

<ABC = 58.5°

<ABH = <ABC - <HBC

           =58.5° - 44°

            =14.5°

∠ABH = 14.5°

(ii) Finding the length of AH

To find length AH, we need to first find ∠AHB

<AHB + <BHC = 180°  ( angle on a straight line)

<AHB + 46° = 180°

subtract 46° from both-side of the equation

<AHB + 46°- 46° = 180° - 46°

<AHB  = 134°

Using sine rule,

\frac{sin 134}{13.2}  = \frac{sin 14.5}{AH}

AH = 13.2 sin 14.5 / sin 134

AH≈4.6 m

length AH = 4.6 m

8 0
2 years ago
23 POINTS A 3-column table with 5 rows. Column 1 has entries Mean, median, mode, range, M A D. Column 2 is labeled Noah with ent
jek_recluse [69]

Answer:

Answer:Noah and Gabriel are in the same English class. They have taken 6 quizzes so far. ... Gabriel's scores: 82, 85, 86, 86, 90, 94 Total of 523 ... What are Gabriel's mean, median, and mode? ... 1.1/5. 2. ryan28772020. ryan28772020. jd3sp4o0y. +16. jd3sp4o0y and 16 ... D. The mean is 83 and the median is 90.

Step-by-step explanation:

6 0
3 years ago
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Two angles are complementary. one angle measure 22 degrees. The other measure 2x degrees. solve for x.​
snow_tiger [21]

Answer:

x=34^\circ

Step-by-step explanation:

Complementary angles sum up to 90^\circ.

90-22=2x\\\\x=34^\circ

Best Regards!

4 0
3 years ago
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A bicycle has a listed price of $625.99 before tax. If the sales tax rate is 7.5%, find the total cost of the bicycle with sales
Serhud [2]
With tax, it would be 107.5% of 625.99. 107.5% is 1.075 in decimal form so you do 1.075(625.99). That gives the rounded answer of $672.94. :)
6 0
3 years ago
I need help Real quick! ASAP, One/Two Step Equation Word Problems | Define the Variables for each problem.
faltersainse [42]

Answer:

6) Braden scored 77.

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Step-by-step explanation:

6) 86 - 9 = 77

7) 0.39x = 7.02

step 1- divide both sides by 0.39

x = 18

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3 years ago
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