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vladimir1956 [14]
2 years ago
15

How many diagonals can you draw from the vertex of an octagon

Mathematics
1 answer:
ludmilkaskok [199]2 years ago
8 0
From one vertex of an octagon you can draw 5 diagonals.

There are 8 vertices in an octagon, and we are choosing one as our starting vertex. There are then 7 vertices left to draw a line to, but 2 of the vertices are already connected to our main vertex (because they are connected along the side of the octagon). That leaves 5 vertices to draw a diagonal to from our original vertex.
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a port and a radar station are 2 mi apart on a straight shore running east and west. a ship leaves the port at noon traveling no
Rom4ik [11]

Answer:

The rate of change of the tracking angle is 0.05599 rad/sec

Step-by-step explanation:

Here the ship is traveling at 15 mi/hr north east and

Port to Radar station = 2 miles

Distance traveled by the ship in 30 minutes = 0.5 * 15 = 7.5 miles

Therefore the ship, port and radar makes a triangle with sides

2, 7.5 and x

The value of x is gotten from cosine rule as follows

x² = 2² + 7.5² - 2*2*7.5*cos(45) = 39.04

x = 6.25 miles

By sine rule we have

\frac{sin A}{a} = \frac{sin B}{b}

Therefore,

\frac{sin 45}{6.25} = \frac{sin \alpha }{7.5}

α = Angle between radar and ship α

∴ α = 58.052

Where we put

\frac{sin 45}{6.25} = \frac{sin \alpha }{x} to get

\frac{x}{6.25} = \frac{sin \alpha }{sin 45} and differentiate to get

\frac{\frac{dx}{dt} }{6.25} = cos\alpha\frac{\frac{d\alpha }{dt}  }{sin 45}

\frac{15sin45 }{6.25cos\alpha } =\frac{d\alpha }{dt}  }= 3.208 degrees/second = 0.05599 rad/sec.

6 0
3 years ago
Mary bought a 7lb bag of flour. She used 1/3 of the bag to bake wedding treats.
oee [108]

Answer:

she is left with 4.67 LB of flour.

Step-by-step explanation:

7 divided by 3 = 2.3333333

2.3333333 x 2 = 4.67

8 0
2 years ago
Graph the functions and approximate an x-value in which the quadratic function exceeds the exponential function. y = 4x y = 7x2
lyudmila [28]
I believe that it is 0.5
4 0
2 years ago
Read 2 more answers
If the base of a parallelogram is 35m and the area is 425m2,what is the hight of the parallelogram
Zarrin [17]

let, the height be h

area of the parallelogram= base x height

425 = 35 x h

425/35 = h

12.14m = h

6 0
3 years ago
1. Write the equation c = loga(b) in exponential form.
Flauer [41]

Answer:

Step-by-step explanRemember: logax=b⇒ab=x

in which "a" is the base of the log. 

log4 (1/16) = 4^-2 = 1/4^2 = 1/16

4 to the power of -2 is equal to 1/16.

To answer this question, the equation in exponential form of "log4 (1/16) = -2" is " 4^-2 " (4 to the power of -2). :D

plz mark me brainliest

7 0
2 years ago
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