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N76 [4]
3 years ago
7

Given: △PTC

Mathematics
2 answers:
Natalka [10]3 years ago
6 0
Given the the two angles find the missing angle of P which is 30 degrees.

Since angle P and C are identical their sides are congruent.

The hypotenuse, the largest side is PC because it corresponds to angle T

Using Pythagorean Theorem
a^2 + b^2 = c^2

(PT)^2 + (CT)^2 = (PC)^2
Given that PT is 4 and knowing PT and CT are congruent we can rewrite this
(4)^2 + (4)^2 = (PC)^2
PC = rad(32)

Someone fact check plz
valina [46]3 years ago
6 0

Answer:

1.73 units.

Step-by-step explanation:

We have been given that in triangle PTC measure of angle T is 120 degrees and measure of angle C is 30 degrees. We are asked to find the length of side PC.

We will use law of sines to solve for side PC.

\frac{a}{\text{sin}(A)}=\frac{b}{\text{sin}(B)}=\frac{c}{\text{sin}(C)}, where, a ,b and c are opposite sides to angle A, B and C.

Upon substituting our given values in law of sines, we will get:

\frac{PC}{\text{sin}(120^{\circ})}=\frac{PT}{\text{sin}(30^{\circ})}

\frac{PC}{\text{sin}(120^{\circ})}*\text{sin}(120^{\circ})=\frac{4}{\text{sin}(30^{\circ})}*\text{sin}(120^{\circ})

PC=\frac{4}{0.5}*0.866025403784

PC=2*0.866025403784

PC=1.732050807568

PC\approx 1.73

Therefore, the length of side PC is approximately 1.73 units.

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3) 18 + 9 + 19 x 19<br> I do not no how to do it
Degger [83]

Answer:

388

Step-by-step explanation:

  • 18+9+361
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8 0
3 years ago
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The area of a rectangle is 108.35 in2 and the length is 7.8 in. Find the width.
Jet001 [13]

Answer:

13.89 inch

Step-by-step explanation:

area  = length x width

=> width = area/length = 108.35/7.8 = 13.89 inch

8 0
2 years ago
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Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14
Hitman42 [59]

Answer:

The angle of elevation of the sun from the ground to the top of a tree is 36^{\circ}.

Step-by-step explanation:

As given

The sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long.

Now by using the trignometric identity .

tan\theta =\frac{Perpendicular}{Base}

As figure is  given below .

AB =  Perpendicular = 10 yards

BC =  Base = 14 yards

Putting all the values in the trignometric identity .

tan\theta =\frac{AB}{BC}

tan\theta =\frac{10}{14}

\theta =tan^{-1}(\frac{10}{14})

\theta =36^{\circ}

Therefore the angle of elevation of the sun from the ground to the top of a tree is 36^{\circ}.

7 0
4 years ago
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What is 37/12 as a mixed number?
mixer [17]
1 and one - twelfth
because 12gies 3 times in 37
4 0
3 years ago
There are 550 students at Martin Middle School. One bundred and eighty- seven students walk to school. what percent of the stude
Anvisha [2.4K]
For a question like this, all you have to do is remember that a percentage is simply a fraction expressed as a decimal. So, all we have to do is:
\frac{187}{550}, and then multiply our decimal answer by 100 to get the percentage:
\frac{187}{550} = 0.34
0.34 x 100 = 34
Therefore 34% of the students walk to school.
I hope this helped and remember to please try and understand the maths that got the answer, not just writing the answer down :))
4 0
3 years ago
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