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-BARSIC- [3]
3 years ago
15

Please can someone help my assignment in math​

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
7 0

Answer/Step-by-step explanation:

1. B = 180 - (90 + 58) (sum of triangles)

B = 32°

Let's find a and b using trigonometric ratios:

Reference angle = 58°

Opposite = a = ?

Hypotenuse = c = 27

Adjacent = b = ?

✔️To find a, apply SOH:

Sin 58 = Opp/Hyp

Sin 58 = a/27

a = 27*Sin 58

a = 22.8972986 ≈ 22.9 (nearest tenth)

✔️To find b, apply CAH:

Cos 58 = Adj/Hyp

Cos 58 = b/27

b = 27*Cos58

b = 14.3 (nearest tenth)

2. B = 180 - (90 + 63) (sum of triangles)

B = 27°

Let's find a and b using trigonometric ratios:

Reference angle = 63°

Opposite = a = 11

Hypotenuse = c = ?

Adjacent = b = ?

✔️To find b, apply TOA:

Tan 63 = Opp/Adj

Tan 63 = 11/b

b = 11/Tan 63

b = 5.6 (nearest tenth)

✔️To find c, apply SOH:

Sin 63 = Opp/Hyp

Sin 63 = 11/c

c = 11/Sin 63

c = 12.3 (nearest tenth)

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3 years ago
Two triangles are similar. The perimeter of the smaller one is 16. The ratio of the corresponding sides is 2:5. The sides of the
Eddi Din [679]

Answer:

Perimeter of larger triangle is 40.

Step-by-step explanation:

Given:

Perimeter of smaller circle = 16

Ratio of corresponding side = 2:5

We need to find the perimeter of the larger triangle.

Solution:

Let the perimeter of the larger triangle be 'x'.

Therefore by theorem which states that;

" When a triangle have scale factor a:b then the ratio of the perimeters is a:b".

Here Ratio is 2:5, so we can say by theorem, Ratio of perimeters is 2:5

framing in equation form we get;

\frac{\textrm{Perimeter of smaller triangle}}{\textrm{Perimeter of Larger triangle}}=\frac{2}{5}

Substituting the values we get;

\frac{16}{x}=\frac{2}{5}

By Cross multiplication we get;

16\times 5=2x\\\\80=2x

Dividing both side by 2 we get;

\frac{80}{2}=\frac{2x}{2}\\\\x=40

Hence Perimeter of larger triangle is 40.

7 0
4 years ago
What is the equation of the line that is parallel to the given
Mrac [35]

Answer:

Step-by-step explanation:

is the given line  3x - 4y = -17?

then,

- 4y = -3x -17

y=(3/4)x+17/4

it is parallel, so slope of our line is 3/4 or 0.75

y=0.75x+b

next, lets plug in the given point to get the y-int

2=0.75*(-3)+b

2=-2.25+b

b-2.25=2

b=4.25

the equation is y=0.75x+4.25

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8 0
3 years ago
Which statement is true about whether Z and B are
Dmitrij [34]

Answer:

Z and B are independent events because P(Z I B) = P(Z)

Step-by-step explanation:

  • If Z and B are independent, Z does not affect B and B does not affect Z.
  • This means that, to know something about B does not help predicting Z, and to know something about B does not help predicting Z.
  • Then,  the probability P (Z/B) = P(Z) because B does not add any information about Z, therefore, the probability of Z only depends on itself.
6 0
3 years ago
Read 2 more answers
You are 100m from the base of a tall building. If your feet are exactly 180m from the top of the building, how tall is the build
KatRina [158]

Answer:

the building would be 280 feet (judging on how this is worded.)

Step-by-step explanation:

you are already 100 meters from the base ( bottom) of the building so you add 180 as you are 180 ft from the top of the building. 100 + 180 is equal to 280.

8 0
2 years ago
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