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Mathematics

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Stells [14]3 years ago

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Answer:

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Solve ABC c=10, B=35°, C=65%

NISA [10]

Answer:

Part 1) The measure of angle A is $A=80\°$

Part 2) The length side of a is equal to $a=10.9\ units$

Part 3) The length side of b is equal to $b=6.3\ units$

Step-by-step explanation:

step 1

Find the measure of angle A

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

$A+B+C=180\°$

substitute the given values

$A+35\°+65\°=180\°$

$A+100\°=180\°$

$A=180\°-100\°=80\°$

step 2

Find the length of side a

Applying the law of sines

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{a}{sin(80\°)}=\frac{10}{sin(65\°)}$

$a=\frac{10}{sin(65\°)}(sin(80\°))$

$a=10.9\ units$

step 3

Find the length of side b

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{b}{sin(35\°)}=\frac{10}{sin(65\°)}$

$b=\frac{10}{sin(65\°)}(sin(35\°))$

$b=6.3\ units$

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3 years ago

What are Numbers? Why do we need them?

il63 [147K]

A number is a mathematical object used to count, measure, and label

3 0

3 years ago

In how many ways can 3 Americans, 4 Frenchmen, 4 Danes and 2 Italians be seated in a row so that those of the same nationality s

kaheart [24]

Answer (13 of the original arrangements are duplicates now, as AAAF F F FDDDDCC, AAF F F FDDDDCCA, ..., CAAAF F F FDDDDC are identical): 900900/13 = 69300.

4 0

3 years ago

Read 2 more answers

Find the area of the figure. If you need to use Pi in your computation, approximate its value as 3.14. Round to the nearest hund

arsen [322]

Answer:

area of figure= area of rectangle+area of semi-circle

area of rectangle= length ×width

5×4

= 20in²

area of semi circle= 1/2πr²

1/2×22/7×2×2

22×2

44

= 6.29in²

area of figure= 20+6.29

= 26.29in²

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3 years ago

An object is traveling at a steady speed of 10 1/5 mi/h. How long will it take the object to travel 1 4/5?

professor190 [17]

The object needs 10.58 minutes to travel 1 4/5 if the object is traveling at a steady speed of 10 1/5 mi/h.

<h3>What is the distance?</h3>

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

An object is traveling at a steady speed of 10 1/5 mi/h.

u = 10 1/5 min/h

u = 51/5 min/h

As we know, the speed-distance relationship:

time = distance/speed

distance = 1 4/5 = 9/5

time = (9/5)/(51/5)

time = 9/51 hours

time = (9/51)60

time = 10.58 minutes

Thus, the object needs 10.58 minutes to travel 1 4/5 if the object is traveling at a steady speed of 10 1/5 mi/h.

Learn more about the distance here:

brainly.com/question/26711747

#SPJ1

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2 years ago