What is the maximum degree of a reflex angle​

Hi there!

[tex]\large\boxed{ 14.875}[/tex]

Our interval is from 0 to 3, with 6 intervals. Thus:

3 ÷ 6 = 0.5, which is our width for each rectangle.

Since n = 6 and we are doing a right-riemann sum, the points we will be plugging in are:

0.5, 1, 1.5, 2, 2.5, 3

Evaluate:

(0.5 · f(0.5)) + (0.5 · f(1)) + (0.5 · f(1.5)) + (0.5 · f(2)) + (0.5 · f(2.5)) + (0.5 · f(3)) =

Simplify:

0.5( -2.75 + (-3) + (-.75) + 4 + 11.25 + 21) = 14.875

Answer:

x= 135

Step-by-step explanation:

The value of COS Cx sin A by the given data is V3/4.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse. These are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).

We are given that;

AB = 1, AC = 2 and BC = V3

Now,

To find the value of cos C x sin A, we need to use the trigonometric ratios of the right triangle.

We know that cos C = adjacent/hypotenuse = AB/AC = 1/2 and sin A = opposite/hypotenuse = BC/AC = V3/2.

cos C x sin A = (1/2) x (V3/2) = V3/4.

Therefore, by the trigonometric ratio the answer will be V3/4.

Learn more about trigonometric ratios;

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Step-by-step explanation:

> 2×2a²×2a²

8a⁴

> 36a³×1/4a²

9a³×1/a²

9a

> 2⁶

> 5²m²

Step-by-step explanation:

[tex]x + 3y = 7 \\ 2x + 4y = 8 \\ x = 7 - 3y \\ 2(7 - 3y) + 4y = 8 \\ 14 - 6y + 4y = 8 \\ 14 - 2y = 8 \\ - 2y = - 6 \\ y = 3 \\ x = 7 - 3(3) \\ x = 7 - 9 \\ x = - 2[/tex]

Answer:

2x+3y=7x4

x+4y=8x3

8x+12y=27

3x+12y=24

8x-3x =5x

+12y-+12y=0

27-24=3

5x/5 3/5x

answer = x = 3/5

y=1.85

Answer:

119?

Step-by-step explanation:

Answer:

There were 44 students in each bus.

Step-by-step explanation:

357 - 5 = 352

352/8 = 44

Answer:

Step-by-step explanation:

Total students = 357

Total buses filled = 8

No of students traveled in car = 5

Remaining students = 357 - 5 = 352

Students in each bus = 352 ÷ 8 = 44 students

Answer:

sqrt(24)

Step-by-step explanation:

The number is slightly less than 5

We know that 5^2 =25

sqrt(25) = 5

so the number has to be less that sqrt(25)

The only number less than sqrt(25) is sqrt(24) and sqrt(20)

sqrt(20) is too far away to be slightly less than 5 so it must be sqrt(24)

Answer:

B one

Step-by-step explanation:

3y + 5 - 2y = 11

3y -2y + 5 = 11

Combine like terms

y + 5 = 11

Subtract  5 from both sides

y = 11 - 5

y = 6

So, Only one solution

Answer:

there is only 1 solution.

Step-by-step explanation:

We can solve the equation to find it's number of solutions, but we already know it only has 1 solution because it is a linear equation (y is raised to the first power).

3y + 5 − 2y = 11

y + 5 = 11

y = 6

This confirms that there is only 1 solution.-------

Answer:

...-243, 729, -2187

Step-by-step explanation:

-3, 9, -27, 81, -243, 729, -2187

Everytime ×(-3)

-3×(-3)=9

9×(-3)=-27

-27×(-3)=81

Etc.

Answer:

94

Step-by-step explanation:

PQS = (7x - 6)°

SQR = (4x + 15)° since QS bisect PQR these two expressions must be equal

so

7x - 6 = 4x + 15 transfer like terms to the same side of the equation

7x - 4x = 15 + 6

3x = 21 divide both sides by 3

x = 7

also the sum of these two would give us the measure of PQR

7x + 4x + 15 - 6 = PQR

11x + 9 = PQR replace x with 7

11*7 + 9 = 86 this is the measure of angle PQR and also supplementary to PQT so the measure of PQT = 180 - 86

If QS bisects angle PQR. the m<PQT=94 °

Given :

Measure of angles    PQS = (7x - 6)° , and m angle SQR = (4x + 15)°

QS bisects angle PQR. So m<PQS=m<SQR

[tex]7x-6=4x+15\\Solve \; for \; x\\7x-4x-6=15\\3x-6=15\\3x=15+6\\3x=21\\divide \; by \;3 \\x=7[/tex]

Now we find out m<PQR

[tex]m<PQR=m<PQS+m<SQR\\m<PQR=7x-6+4x+14\\m<PQR=11x+8\\x=7\\m<PQR=11(7)+8=85[/tex]

We know that <PQR and <PQT  are linear pair of angles

The sum of linear pair of angles are supplementary

[tex]m<PQR+m<PQT=180\\86+m<PQT=180\\m<PQT=180-86\\m<PQT=94[/tex]

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Answer:

n=-15

Step-by-step explanation:

5=n/5+8

subtract 8 on both sides

-3=n/5

multiply 5 on both sides

-15=n

Answer:

75

Step-by-step explanation:

The first five multiples of 5 are 5, 10, 15, 20, and 25. The sum of the first five multiples of 5 is 75.

Answer:

I think sqrt(74/3)

Step-by-step explanation:

I saw this problem before

Answer:

-23/9  or -2 5/9

Step-by-step explanation:

w+(-x) - 2/3

Let w = -5/9  and x = 4/3

-5/9+(- 4/3) - 2/3

Get a common denominator of 9

-5/9 - 4/3 *3/3 - 2/3 *3/3

-5/9 - 12/9 - 6/9

-23/9

-2 5/9

Answer:

-2 5/9

Step-by-step explanation:

Answer: When f(x)=g(x) , x equal to -2 or -1

Step-by-step explanation:

Answer:

$14722.14

Step-by-step explanation:

We are given that

In 2015

The value of jewel=$17500

Rate of appreciation, r=2.5%

We have to find the initial value of the jewel when it was first bought.

Time, n=7 years

Final value=[tex]Initial\;value (r/100+1)^n[/tex]

Using the formula

[tex]17500=Initial\;value(2.5/100+1)^7[/tex]

[tex]17500=Initial\;value(1.025)^7[/tex]

[tex]Initial\;value=\frac{17500}{(1.025)^7}[/tex]

Initial value=$14722.14

Hence, the the initial value of the jewel when it was first bought=$14722.14

Answer:

[tex] \frac{ - 8 - \sqrt{288} }{2 \times ( - 2)} = \frac{ - 8 -16.97 }{ - 4} = \frac{ - 24.97}{ - 4} = 6.2425[/tex]

Answer:

smaller number - 7

greater number - 8

Step-by-step explanation:

let a = smaller number

a + 1 = greater number

the following equation can be derived from the question

(5 x a) = 3 + 4(a + 1)

5a = 3 + 4a + 4

5a = 7 + 4a

5a - 4a = 7

a = 7 = smaller number

a + 1 = 7 + 1 = 8 = greater number

Answer:

-4√5

Step-by-step explanation:

-√5-3√5

-√5(1 + 3)

-4√5

Answer:

x=19.27329

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / hyp

tan 56 = x/ 13

13 tan 56 = x

x=19.27329

Answer: (C) [tex]y+1=-2(x-2)[/tex]

Step-by-step explanation:

Slope: y = mx +b

By looking at the graph we can see that the slope has a rise of 2 and a run of -1 (aka. -2x) We can also tell that this has a y-intercept of 3

So our slope is: y = -2x + 3

Now you just have to find the answer that matches.

Answer:

cannot be determined

Step-by-step explanation:

We do not know if any of the angles are equal and are only given two sides.

We cannot determine if the two triangles are similar

Answer:

B. 140π units²

Step-by-step explanation:

Surface area of a cylinder:

2πrh + 2πr²

2π(5)(9) + 2π(5²)

90π + 50π

140π

Answer:

The correct answer is 140 pi units ^2.

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

The first triangle

90+2x+4x=180

90+6x=180

6x=90

x=15

Answer:

5500m..................