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julsineya [31]
3 years ago
10

Pls help i have no idea how to do this Find the Missing angles

Mathematics
1 answer:
Semenov [28]3 years ago
8 0
To be honest I just know that #1 is 143 (I think)
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The diameter of a circle is 13 in. Find the circumference to the nearest tenth.
klemol [59]

circumference equals 40.84

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3 years ago
When I was 6 my sister was half my age<br><br> Now I'm 70 how old is my sister?
mrs_skeptik [129]
She would be 67...always going to be 3 years younger
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4 years ago
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A car is moving at a fixed speed. The distance D that the car covers is then directly proportional to the time T it moves.
worty [1.4K]

We were told that the distance D is directly proportional to the time T.

We write this mathematically as,

D\propto T


We can now introduce our constant of variation and write the equation for the direct equation as;


D=kT


where k is the constant of variation or constant of proportionality.


We substitute D=20 and T=15, in to the equation of variation to obtain the constant of proportionality.


That is;


20=k\times15



This implies that,




\frac{20}{15}=k


This simplifies to give us,




k=\frac{4}{3}


Now our equation of proportion becomes,



D=\frac{4}{3}


When T=20



D=\frac{4}{3}\times20


D=\frac{80}{3}

Writing this as a mixed number we obtain,

D=26\frac{2}{3}

This can also be rewritten as

D=26.67 correct to one decimal places.


Therefore the care covers 26.67 miles in 20 minutes.





6 0
3 years ago
A point H is 20m away from the foot of a tower on the same horizontal ground. From the point H, the angle of elevation of the po
astra-53 [7]

Answer:

a. See Attachment 1

b. PT = 12.3\ m

c. HT = 31.1\ m

d. OH = 28.4\ m

Step-by-step explanation:

Calculating PT

To calculate PT, we need to get distance OT and OP

Calculating OT;

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

tan50 = \frac{OT}{20}

Multiply both sides by 20

20 * tan50 = \frac{OT}{20} * 20

20 * tan50 = OT

20 * 1.1918 = OT

23.836  = OT

OT = 23.836

Calculating OP;

We have to consider angle 30, distance OH and distance OP

The relationship between these parameters is;

tan30 = \frac{OP}{20}

Multiply both sides by 20

20 * tan30 = \frac{OP}{20} * 20

20 * tan30 = OP

20 * 0.5774= OP

11.548 = OP

OP = 11.548

PT = OT - OP

PT = 23.836 - 11.548

PT = 12.288

PT = 12.3\ m (Approximated)

--------------------------------------------------------

Calculating the distance between H and the top of the tower

This is represented by HT

HT can be calculated using Pythagoras theorem

HT^2 = OT^2 + OH^2

Substitute 20 for OH and OT = 23.836

HT^2 = 20^2 + 23.836^2

HT^2 = 400 + 568.154896

HT^2 = 968.154896

Take Square Root of both sides

HT = \sqrt{968.154896}

HT = 31.1\ m <em>(Approximated)</em>

--------------------------------------------------------

Calculating the position of H

This is represented by OH

See Attachment 2

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

tan50 = \frac{OH}{OT}

Multiply both sides by OT

OT * tan50 = \frac{OH}{OT} * OT

OT * tan50 = {OH

OT * 1.1918 = OH

Substitute OT = 23.836

23.836 * 1.1918 = OH

28.4= OH

OH = 28.4\ m<em> (Approximated)</em>

5 0
3 years ago
What is the answer 1/3 (9x+3) = 3x + 1
Harman [31]

Answer:

All real numbers are solutions to this equation

Step-by-step explanation:

\frac{9x+3}{3} =3x+1\\\frac{3(3x+1)}{3} =3x+1\\3x+1=3x+1

3 0
3 years ago
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