find cot0 given cos0=2/7 and the terminal side is in quadrant IV

Answer:

[tex](a,b) \ne (7,-9)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = ax + b[/tex]

[tex]Interval = [0,4][/tex]

[tex]Area = 16[/tex]

Required

[tex]a, b \ne[/tex]

The area is calculated as:

[tex]Area = \int\limits^a_b {f(x)} \, dx[/tex]

So, we have:

[tex]Area = \int\limits^4_0 {(ax + b)} \, dx[/tex]

Integrate

[tex]Area = (\frac{ax^2}{2} + bx)|\limits^4_0[/tex]

Expand

[tex]Area = [(\frac{a*4^2}{2} + b*4)] - [(\frac{a*0^2}{2} + b*0)][/tex]

[tex]Area = [(\frac{a*4^2}{2} + b*4)][/tex]

[tex]Area = 8a+ 4b[/tex]

This gives:

[tex]8a + 4b = 16[/tex]

Divide through by 4

[tex]2a + b = 4[/tex]

From the list of options, the possible values of a and b are:

[tex](a,b) = (-2,8) \to 2 * -2 + 8 = 4[/tex]  

[tex](a,b) = (1,2) \to 2 * 1 + 2 = 4[/tex]

[tex](a,b) = (3,-2) \to 2 * 3 -2 = 4[/tex]

[tex](a,b) = (5,-6) \to 2 * 5 -6 = 4[/tex]

The odd one is:

[tex](a,b) = (7,-9) \to 2 * 7 -9 = 5[/tex]

Hence:

[tex](a,b) \ne (7,-9)[/tex]

Answer:

The perimeter of the garden = 46 ft

Step-by-step explanation:

The exact question is as follows :

Given - John is putting a fence around his garden that is shaped like a half circle and a rectangle.

A rectangle has a length of 14 feet and width of 7 feet. A semicircle with diameter of 7 feet is on top of the rectangle.

To find - How much fencing will John need? Use  22 over 7 for Pi.

A. 32 ft

B. 39 ft

C. 46 ft

D. 57 ft

Solution -

The figure is as follows :

The perimeter of the garden is equal to sum three sides of the rectangle plus the circumference of a semicircle

Now,

Given that,

Length of Rectangle = 14 feet

Breadth of Rectangle = 7 feet

Now,

Sum of three sides of Rectangle = 14 + 14 + 7

                                                    = 35

Now,

Circumference of Semicircle = (1/2)[tex]\pi[/tex] D where D is the diameter

So,

Circumference of Semicircle = (1/2)(22/7)(7)

                                                = 11

⇒Circumference of Semicircle = 11

So,

The perimeter of the garden = 35 + 11

                                                = 46 ft

⇒The perimeter of the garden = 46 ft

Answer:

2( the thingy and inside) 14x

Answer:

44

Step-by-step explanation:

First, let's sum up the ratio.

Sum the ratios = 6 + 2 + 3 = 11

We can make y the total number of boots sold together last month

If 24 pairs of boots were sold, then the equation would be

6/11 × y = 24

Cross multiply

6 × y = 24 × 11

6y = 264

y = 44

Therefore, total number of boots sold altogether last month were 44

By applying Pythagoras theorem,we get

(hypotenuse)^2=(base)^2+(perpendicular)^2

=>(h)^2=(7)^2+(4)^2

=>(h)^2=49+16

=>(h)^2=65

=>h=√65

Therefore, option B is correct,i.e.,√65

Answer:

Square root of 65 units

Step-by-step explanation:

This is the correct answer

Answer:

75

Step-by-step explanation:

Let x = number thought of

(x + 2) / 7 = 11

multiply both sides of the equation by 7

11 x 7 = x+ 2

collect like terms

77 - 2 = x

x = 75

Answer:

op 2

Step-by-step explanation:

the Answer is b

hope this helps

Answer:

15mm x 10mm = 150mm

Step-by-step explanation:

Answer:

A bar graph is the best graph to use

Answer:

Area: 200.96

Circumference: 50.24

Step-by-step explanation:

We know r (radius)=8

A=πr^2

A=π8^2

A=64π or 200.96

C=2πr

C=2π(8)

C=16π or 50.24

Answer:

ace

Step-by-step explanation:

Answer:

56 inches squared

Step-by-step explanation:

(4x6) ÷ 2 = 12

12 x 4 = 48

4 x 4 = 16

48 + 16 = 56

Answer:

evaluate parenthesis first:

67/100(consider 67% out of 100) x 119 = 79.73

Answer:

79.73

Step-by-step explanation:

First, it would be finding 67% of 119

Then we find 10% = 11.9   and 1% = 1.19

The 11.9 multiplied by 6 to equal 71.4 and 1.19 multiplied by 7 to equal 8.33

Then add 71.4 and 8.33 to get the answer of 79.73.

Answer:

-2x^9

Step-by-step explanation:

-2x^6-(-3) = -2x^9

Answer:

2/7

Step-by-step explanation:

The probability of getting tails is 1/2 or 50%;

There are 7 tiles, 4 of them are blue; getting a blue tile has a 4/7 probability.

Multiply the fractions:

1/2*4/7= 4/14 or 2/7

Answer:

V≈67958.90

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]V=\pi r^{2}h\\V=\pi *26^{2} *32[/tex]

Answer:

maybe 36

Step-by-step explanation:

3 shirts 4 pants 3 shoes it maybe 3*4*3

Answer:

economic development that is conducted without depletion of natural resources.

Step-by-step explanation:

Answer:

11 inches is your answer sorry if i am wrong i hope this helps

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

find simple interest

Rs.6500 for 2years 3months at

6percent per annum

To find the simple interest , We'd use the following formula:-

.°.

S.I = 65×13.5

S.I = Rs.877.50

Hope it helps

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Answer:

y=1/4x+2

Step-by-step explanation:

The formula is y=mx+b, where m is the slope and b is the y-intercept

Answer:

(3,4) is the solution of both equations.

Step-by-step explanation:

The given equations are :

3x – 2y = 1 ....(1)

4y = 7+3x

4y-3x = 7 .....(2)

Put x = 3 and y = 4 in equation (1).

3(3) – 2(4) = 9-8

= 1

So, (3,4) is the solution of the equation (1).

Again put x = 3 and y = 4 in equation (2).

4(4)-3(3) = 16-9

= 7

Hence, (3,4) is the solution of both equations.

Answer:

36.80

Step-by-step explanation:

261 x .141 = 36.801

Answer:

Look its easy  75% when to eat lunch and the 25% skipped because if they were a large amount of them it must be 75% ur welcome

Step-by-step explanation:

Answer:

14(−3a+4b+6c+3) is the answer