A soda can had a diameter of 6 cm . What is the circumference of the can?

Applying the cosine ratio of trigonometry, the exact value of cos(-60°) which equals cos (π/3) is: C. 1/2.

In trigonometry, the vaue of the cosine ratio is the cosine of the reference angle which equals the ratio of the adjcent side over the hypotenuse.

To get the exact value of cos(-60°), convert 60 to radians.

π radian = 180

60° = (π/3) radians

Note: cos (-θ) = cos θ

Therefore, cos (-π/3) = cos (π/3)

cos (π/3) = 1/2

The exact value of cos(-60°) = 1/2 (option C).

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Answer:

Step-by-step explanation:

The general standard form of an equation is written in expressed as shown;

(x-a)²+(y-b)² = r²

(a,b) is the centre of the circle and r is the radius

Given the equation of the circle x^2 + y^2 - 4x + 14y +28 =0, we need to find the centre of the circle and its radius.

comparing the equation given with x²+y²+2gx+2fy+c =0

(-g, -f) is the centre

radius = √g²+f²-c

On comparison,

2gx = - 4x

g = -4/2

g = -2

2fy =  14y

f = 14/2

f = 7

c = 28

r = √(-2)²+7²-28

r = √4+49-28

r = √25

r = 5

comparing centre (a,b) to (-g, -f)

a = -g = -(-2)

a = 2

b = -f = -7

b = -7

substituting the centre (a, b) and the radius r into the equation

(x-a)²+(y-b)² = r²

The required equation will be (x-2)²+(y+7)² = 5²

(x-2)²+(y+7)² = 25

Answer:

280 m³

Step-by-step explanation:

Volume of a Triangular Prism

Solving

Answer:

280

Step-by-step explanation:

So first lets establish the formula for a Triangular Prism :

1/2 * b * h * l

now lets use the mesurements given to substitute into the formula :

1/2 * 7 * 8 * 10

now lets solve it by first multiplying all the whole numbers together!

7 * 8 = 56

56 * 10 = 560

Finally lets multiply 560 by 1/2 or in other words, divide 560 by 2 :

560/2 = 280

Answer:

[tex] \frac{7}{8} - \frac{1}{2} = \frac{7 - 4}{8} = \frac{3}{8} [/tex]

Step-by-step explanation:

I hope I helped you! :)

Answer:

22 ounces is more

Step-by-step explanation:

1 pound is equal to 16 ounces

Answer:

1 pound

Step-by-step explanation:

1pound=16oz 22oz= 1.375pound

Answer:

4) 97%

6) 13%

Step-by-step explanation:

4) We are given that 3% for 250 million are diesel.

100% - 3% = 97% NON DIESEL cars

97% of 250 million is 242.45 million.

______________________________

6) We know that 17% (buses) and 70% (cars) are part of that total.

We also know that the total needs to be 100%

So, we simply do this:

100 - (17+70) = 13 (%)

So, 13% of the survey participants had bikes

Answer:

20 x 12=240  

Step-by-step explanation:

Answer:

length times width equals area LxW=Area

Step-by-step explanation:

so,

4 times 4= 26 yards

1=4 square yards

then 26X4 = 104 square yards

Answer:

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

-y is the same as writing -1y. if we forget about the y’s, -1 + 2 = 1. so -1y + 2y = 1y, or just y to be simpler :)

i hope this helps :)

[tex]-y+2y=2y-y=(2-1)y=y[/tex]

It is positive because the coefficient is positive.

Answer:

A good credit score is used for more than just getting a credit card or a loan. Credit scores demonstrate your history of paying your debts to entities that loan you money. Due to extending themselves beyond their means, many people are not able to pay their debts

Answer:

X=40°

Step-by-step explanation:

40+30=70

40+30=70

70+70=140

140+40=180

The angles will builder has to cut to make the window fit is 40°, 70° and 70°.

Given that, the measures of the three angles of a triangle are x°, (x+30)° and (x+30)°.

The sum of all internal angles of a triangle is always equal to 180°. This is called the angle sum property of a triangle.

Now, x°+(x+30)°+(x+30)°= 180°

⇒3x+60°=180°

⇒3x=180°-60°

⇒3x=120°

⇒x=40°

So, x°=40°,  (x+30)°= 70°

Therefore, the angles will builder has to cut to make the window fit is 40°, 70° and 70°.

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Answer:

15

Step-by-step explanation:

to get from 10 to 25 you time by 2½

so then times 6 by 2½ and the answer is 15

Answer:

a) [tex]7x-15=20[/tex]

b)     [tex]\frac{20+15}{7}[/tex]

c)  [tex]5[/tex]

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Usually when finding the perimeter all you have to do is add the sides.

Check the picture below.

so notice the top part of the picture

if we move the "4" and "17" sides  close to each other, till one is on top of the other, the side in red, can never be less than 17 - 4, or 13, it cannot be 13 either, because then both lines will be on on top and we wouldn't have a triangle just a flat-line, so whatever the red line is, it must be more than 13.

notice the bottom part of the picture

if we separate the "4" and "17" sides, and lay them flat, the most the red side can be is 4 + 17 or 21, it can never be greater than 21, it can't be 21 either because if we lay "4" and "17" flat, we lose the triangle and all we'd have is a flat-line.  So whatever the red side is, must be less than 21.

Answer: C. (4, 0)

Step-by-step explanation:

    We can graph the equation given to solve. See attached.

   The answer to this question is C. (4, 0)

Answer:

1/3

Step-by-step explanation:

Answer:

1/6  

Step-by-step explanation:

2/3-1/2 =     find the denominator 3×2=6

4/6-3/6 =     rewrite with a denominator of 6

(4-3)/6 = 1/6     subtract numerators

Answer:

540

Step-by-step explanation:

Answer:

533.3mph

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

B  at least 103 flights are on time. :)

Step-by-step explanation:

First we need to turn the percentage into a decimal :)

131 x 0.80 = 104.8

The answer should be B  at least 103 flights are on time.

Have an amazing day!!

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Answer:

4

Step-by-step explanation:

2+2-2+4÷2

we go through

P- parentheses

E- exponents

M- multiplication

D- division

A- addition

S- subtraction

also note that we read it from left to right becaue × is not more important than ÷ and same goes to + and -

First step

2+2-2+(4÷2) --> 2+2-2+2

then

2+2-2+2 --> 4-2+2

then

4-2+2 --> 2+2

finally

2+2=4

Answer:

4

Step-by-step explanation:

Answer:

\sqrt{45}

Step-by-step explanation:

A^2+B^2=C^2

36+?=81

81-36=45

[tex]\sqrt{45}[/tex]=

Answer:

Step-by-step explanation:

Pythagorean Theorem

Here, we are missing one of the altitudes, so we can arrange the equation to form :

Solving

Answer:

450

Step-by-step explanation:

1. Based on the given conditions, formulate:

1350 x 5 ÷ (5 + 4 + 6)

2. Calculate

[tex]\frac{1350x5}{5 + 4 + 6}[/tex]  The numerator is 1350 multiply by 5

[tex]\frac{6750}{5 + 4 + 6}[/tex]

[tex]\frac{6750}{15}[/tex]

Answer: 450