1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gelneren [198K]
2 years ago
13

In △ABC, AB = 13.2m,

Mathematics
1 answer:
luda_lava [24]2 years ago
8 0

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

You might be interested in
Can some one answer this plz ill give !100 POINTS!
Lorico [155]
Hello!

First of all let's find the perimeter (circumference) of the semi circles. We can combine them to make one circle with a diameter of 4 (as we can see the side length of one semi circle is 4 cm. We now plug it into the circumference equation (\pi=3.14).

4(3.14)=12.56

Now we add up the side lengths of the rectangle.

4+6+4+6=20

Now we add up the length of our circle and rectangle.

20+12.56=32.56

Therefore our answer is 32.56 cm.
----------------------------------------------------------

Now to find the area! If we combine the two semicircles, we get a circle with a diameter of four. This means that is has a radius of two. We use the equation below to find the area of the two circles.

A=\pir²

First we will square our radius.

2(2)=4

Now we multiply by pi.

4(3.14)=12.56

Now we need to find the area of the rectangle.

6(4)=24

Now we add.

24+12.56=36.56.

 
I hope this helps!

8 0
3 years ago
Read 2 more answers
An irregularly shaped rock was lowered into a graduated cylinder holding a volume of water equal to 50 ml. The height of the wat
enyata [817]

5 grams per cubic centimeter

3 0
2 years ago
Testing to see if there is evidence that the proportion of US citizens who can name the capital city of Canada is greater than 0
klemol [59]

Answer:

b) B and D and c) A and C

Step-by-step explanation:

The hypotheses would be:

H_0: p =0.75\\H_a: p >0.75

(Right tailed test at 5% level)

Sample proportions are

Sample              A                 B                C                 D

Success            31               34               27               38

Proportion p     0.775         0.85            0.675          0.95

Std error

(sqrtpq/n)          0.066        0.056          0.074          0.034

p diff

p-0.75               0.025        0.10             - 0.075        0.20

Z stat                  

p diff/SE            0.0757       1.77                 1.01          5.80

p value               0.469       0.038             0.156       0.000001

we find that p value is more smaller than alpha, the more accurate the alternate hypothesis.

b) Only B and D provide against the null.  Because p <0.05

c) A and C provide no evidence for the alternative because p >0.05

8 0
3 years ago
Chandler was a caretaker at the state zoo. He noticed that the number of animals adopted by the zoo increased at a constant rate
Leto [7]

Step-by-step explanation:

i don't see any graphs so i don't know how to help

8 0
3 years ago
A box contains 15 resistors. twelve of them are labelled 50ω and the other three are labeled 100ω. what is the probability that
Igoryamba

Answer : P(second resistor is 100ω , given that the first resistor is 50ω) is given by

\frac{1}{5}

Explanation :

Since we have given that

Total number of resistors =15

Number of resistors labelled with 50ω = 12

Number of resistors labelled with 100ω =3

Let A: Event getting resistor with 50ω

B: Event getting resistor with 100ω

Since A and B are independent events .

So,

P(A\cap B)=P(A).P(B)

Now, According to question , we can get that

P(A)= \frac{12}{15}=\frac{4}{5}\\\\P(B)=\frac{3}{15}=\frac{1}{5}

So,

P(A\cap B)=P(A).P(B)\\\\P(A\cap B)=\frac{4}{5}\times \frac{1}{5}\\\\P(A\cap B)=\frac{4}{25}

So, by using the conditional probability , which state that

P(B\mid A)=\frac{P(A\cap B)}{P(A)}

P(B\mid A)=\frac{\frac{4}{25}}{\frac{4}{5}}\\\\P(B\mid A)=\frac{5}{25}\\\\P(B\mid A)=\frac{1}{5}

So, P(second resistor is 100ω , given that the first resistor is 50ω) is given by

\frac{1}{5}


4 0
3 years ago
Other questions:
  • Find z1z2 if z1 = 2/5(cos63° + isin63°) and z2 = 10/3(cos117° + isin117°).
    8·1 answer
  • What is the highest common factor of 49, 91, 84.
    14·1 answer
  • You buy two ads in a newspaper. One ad takes up 58 of a page, and the other ad takes up 18 of a page. How much space did you buy
    5·1 answer
  • Eighty percent of all dentists surveyed agree: Zilch toothpaste tastes best.
    14·1 answer
  • By using the completing the squares method solve<br> Xsquared-8x+3=0
    12·2 answers
  • Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
    6·1 answer
  • Herman buys a mountain bike priced at $525.90 If the sales tax is 10%,what will be the total cost including tax?
    10·1 answer
  • Lus<br> Find the measure of 46.<br> 46 = [?]<br> 24<br> 46<br> Enter
    6·2 answers
  • Help please I’m struggling badly because Im sooo bad at math
    10·1 answer
  • Is this adjacent, vertical, linear, or complimentary?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!