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tatuchka [14]
2 years ago
8

An object travels around a circle of radius r with constant speed. If s is the distance traveled in time t around the circle and

theta is the central angle​ (in radians) swept out in time​ t, then the linear speed of the object is vequals​_____ and the angular speed of the object is omegaequals​______.
Mathematics
1 answer:
Alex2 years ago
4 0

Answer with Step-by-step explanation:

We are given that

Radius of circle=r

Total distance traveled =s

Time=t

Central angle=\theta rad

We know that

Linear speed,v=\frac{distance}{time}

Using the formula

Therefore, v=\frac{s}{t}

Angular speed,\omega=\frac{Angular\;displacement}{time}

By using the formula

\omega=\frac{\theta}{t} rad/s

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Maya had $27. She spent all the money on buying 3 burgers for $x each and 2 sandwiches for $y each. If Maya had bought 2 burgers
Ber [7]
Let
x-------> the cost of the burger
y-------> the cost of the <span>sandwiches

we know that
3x+2y=27-----> equation 1
2x+y=27-11-----> 2x+y=16-----> multiply by -2-----> -4x-2y=-32--> equation 2

adds equation 1 and equation 2
</span> 3x+2y=27
-4x-2y=-32
<span>----------------
-x=27-32-----> x=5
3*5+2y=27----> 2y=27-15-----> y=6

therefore

the answer is the option
</span><span>3) The student's conclusion is correct because the solution to the system of equations 3x + 2y = 27 and 2x + y = 16 is (5, 6).</span>
3 0
2 years ago
Harmony earns a \$42{,}000$42,000dollar sign, 42, comma, 000 salary in the first year of her career. Each year, she gets a 4\%4%
saveliy_v [14]

Answer:

FV(n)=42,000(1.04)^n

Step-by-step explanation:

FV=PV(1+r/n)^nt

Where

FV=future value

PV=present value

r=interest rate

n=number of periods

t=time (years)

PV=42,000

r=4%=0.04

n=1

t=n

FV(n)=p(1+r/n)^nt

=42,000(1+0.04/1)^1*n

=420000(1+0.04)^n

=42,000(1.04)^n

FV(n)=42,000(1.04)^n

7 0
2 years ago
La hormiguita Fidencia se encontro una hojita, la cargo y se llevo al hormiguero. Le dio a su amiguita 1/5 y ella se comió 1/3 d
vredina [299]

Answer:

The ant Fidencia ate more

Step-by-step explanation:

The question in English

The ant Fidencia found a leaf, the charge and took the anthill. She gave her friend 1/5 and she ate 1/3 of the leaf. Who ate more?

Her friend

Multiply (1/5) by (3/3)

(1/5)*(3/3)=3/15

Ant Fidencia

Multiply (1/3) by (5/5)

(1/3)*(5/5)=5/15

Compare

5/15 > 3/15 -----> two fractions with the same denominator the fraction with the highest numerator is greater

therefore

The ant Fidencia ate more

7 0
2 years ago
Which of the following is not a solution for x &lt; 8?<br><br> x = 9<br> x = 7.95<br> x = 4.3
faltersainse [42]
The answer is 9 because If x has to be less than 8 then it can’t be 9
3 0
2 years ago
Read 2 more answers
Which ordered pair minimizes the objective function C = 60x + 85y?. (0, 160). (55, 70). (80, 50). (170, 0)
dangina [55]

Step-by-step explanation:

The given objective function is C = 60x + 85y

To check that which ordered pair is minimizing the objective function-we will substitute all the ordered pair one by one in the given function and we will calculate the value of C. The ordered pair which will give the minimum value will be the answer.

For (0, 160)

C=60\times 0+85\times 160=13600

For (55, 70)

C=60\times 55+85\times 70=9250

For (80, 50)

C=60\times 80+85\times 50=9050

For (80, 50)

C=60\times 170+85\times 0=10200

Hence the ordered pair which minimizes the objective function is (80, 50)




3 0
2 years ago
Read 2 more answers
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