The identity sin (theta/2) = +- sqrt 1-cos theta/2 is derived from which other identity?

Answer:

20

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

21^2 + b^2 = 29^2

441+b^2 =841

Subtract 441 from each side

441 +b^2 -441 = 841-441

b^2 = 400

Take the square root of each side

sqrt(b^2) = sqrt(400)

b =20

Answer:

x= -3 or 4/3

Step-by-step explanation:

3x²+5x-12 =0

3x²+9x-4x-12=0

3x(x+3) -4(x+3) =0

(3x-4)(x+3)=0

x=-3 or 4/3

Answer:

Step-by-step explanation:The area of an isosceles triangle is the amount of space enclosed between the sides of the triangle. Besides the general area of the isosceles triangle formula, which is equal to half the product of the base and height of the triangle, different formulas are used to calculate the area of triangles, depending upon their classification based on sides. These different types based on sides are given below:

Equilateral Triangle- A triangle with all sides equal.

Isosceles Triangle- A triangle with any two sides/angles equal.

Scalene Triangle- A triangle with all unequal sides.

Answer:b

Step-by-step explanation:

Answer:

i think its 54. i might be incorrect.

Step-by-step explanation:

Answer:

54º

Step-by-step explanation:

This really cannot be determined because the combined angle is not marked as 90º

let's assume it is 90º

(7x + 12) +(2x + 24) = 90

Combine like terms

9x + 36 = 90

Subtract 36 from both sides

9x = 54

Divide both sides by 9

x = 6

-----------------------

7(6) + 12 = 54º

2(6) + 24 = 36º

54º is the larger angle

Answer:

95

Step-by-step explanation:

[tex]4 + {2}^{5} \times (8 - 6) + {3}^{3} \\ 4 + 32 \times (2) + 27 \\ 4 + 64 + 27 \\ 68 + 27 = 95[/tex]

Answer:

95

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

4 + 2⁵ · (8 - 6) + 3³

Step 2: Evaluate

Answer:

[tex] {(x - 1)}^{2} = 16 \\ x - 1 = |4| \\ x = |4| + 1[/tex]

x = +4 +1

x = +5

and

x = -4 + 1

x = -3

Answer:

The correct solution is "114.39".

Step-by-step explanation:

The given expression is:

⇒ [tex]\frac{127}{4} +\frac{62}{3}\times \frac{24}{6}[/tex]

On solving the above expression with the help of BODMAS rule, we get

Firstly we will have to apply division, we get

=  [tex]31.75+20.66\times 4[/tex]

Now we will have to apply multiplication, we get

=  [tex]31.75+82.64[/tex]

On adding, we get

=  [tex]114.39[/tex]

Answer:

2 and a half miles.....

Step-by-step explanation: I think......

Step-by-step explanation:

a thing or situation that is annoying because it is complicated or involves a lot of effort

Answer:

930 in^2

Step-by-step explanation:

Area of a parallelogram is Base x Height.

so, 30 x 31 = 930.

Answer: 930 in ^2

Step-by-step explanation:

Area is width x height.

Width = 30

Height = 31

30x31 = 930

Answer:

The straight-line distance between the parents' and grandparents' houses = 9.83 miles.

Step-by-step explanation:

Given - To get to his parents' house, Mateo would have to drive due north 2.1 miles. To get to his grandparents' house, he would have to drive due east 9.6 miles.

To find - What is the straight-line distance between the parents' and grandparents' houses? If necessary, round to the nearest tenth.

Solution -

By the given information, the figure becomes -

From the Graph, we can see that,

The side MP = 2.1

The side MG = 9.6

And By using Pythagoreas Theorem, we get

(PG)² = (MG)² + (MP)²

⇒(PG)² = (9.6)² + (2.1)²

⇒(PG)² = 92.16 + 4.41

⇒(PG)² = 96.57

⇒PG = √96.57

⇒PG = 9.827

∴ we get

The straight-line distance between the parents' and grandparents' houses = 9.83 miles.

Answer:

1800

Step-by-step explanation:

Let y represent the normal selling price

y-y×25/100= 1350

y-y/4= 1350

4y-y/4= 1350

3y/4 = 1350

Cross multiply both sides

3y= 1350×4

3y= 5400

Divide both sides by the coefficient of y whichj is 3

3y/3= 5400/3

y= 1800

Hence the normal selling price is 1800

Answer:

what are the hypotheses?

Step-by-step explanation:

you said the hypotheses are as folows its not there

Answer:

n=7

Step-by-step explanation:

If they are both increased by 7, you will have 12/18, which is equal to 2/3

Answer:

Step-by-step explanation:

www.564bdyjkthl

Answer:

50/50

Step-by-step explanation:

Answer:

1/8 because {(T , T , T), (T , T , H),(T , H , T), (T , H , H),(H , H , H),(H , H , T),(H , T , H),(H , T , T)} which has 8 combinations in total so that means 1/8... 8 is denominator because 8 combinations 1 is for each one.

Answer:

m = 18

Step-by-step explanation:

10/15 = m/12

Cross multiply using the butterfly method.

15m = 10*12

15m = 120

Divide both sides by 15.

m = 8

I personally like to use ratios but I am not sure if that's what you want. Anyway here's my answer

Answer:

The total water usage at the park this year, in gallons, U = 16,206 + 22.2·x

Step-by-step explanation:

The given parameters are;

The increase in water usage for both regular days and special event for the current year = 20%

The water usage for last year regular days = 13,505 gallons

The water usage per special event = 18.5 gallons

The total water usage = 13,616 gallons

Therefore, we have;

The water usage for regular days on the current year = 13,505 gallons + (20/100)×13,505 gallons = 16,206 gallons

The water usage per special event for the current year, x = 18.5 gallons + (20/100) × 18.5 gallons = 22.2 gallons

The total water usage, U, at the park this year in terms of 'x', the number of special events the park hosted is given by the sum of the amount of water used on regular days and the product of 'x', and the amount of water used per special event this year as follows;

U = 16,206 gallons + x × 22.2 gallons

∴ The total water usage at the park this year, U = 16,206 + 22.2·x

Answer:

U=16,206+22.2 ^. x

Step-by-step explanation:

Answer: n × n× 6

length time width both = n and hight is 6 so n × n × 6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the numbers available in the set is {4,10,22} all are even numbers only.

Answer:

[tex]y+5=-\frac{2}{7} (x-4)[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]-7x+2y=14[/tex]

First, rearrange this given equation into slope-intercept form ([tex]y=mx+b[/tex]) so we can easily find the slope.

Add 7x to both sides to isolate 2y

[tex]-7x+2y+7x=7x+14\\2y=7x+14[/tex]

Divide both sides by 2 to isolate y

[tex]y=\frac{7}{2} x+7[/tex]

Now, we can identify clearly that the slope of this line is [tex]\frac{7}{2}[/tex]. Because perpendicular lines have slopes that are negative reciprocals, we know that the slope of the line we're currently solving for will have a slope of [tex]-\frac{2}{7}[/tex].

[tex]m=-\frac{2}{7}[/tex]

2) Plug all necessary values into [tex]y-y_1=m(x-x_1)[/tex]

[tex]y-y_1=m(x-x_1)[/tex]

We know that [tex]m=-\frac{2}{7}[/tex] and that the given point is (4,-5). Plug the slope into the equation

[tex]y-y_1=-\frac{2}{7} (x-x_1)[/tex]

Plug the point into the equation

[tex]y-(-5)=-\frac{2}{7} (x-4)\\y+5=-\frac{2}{7} (x-4)[/tex]

I hope this helps!

Answer:3x+140

Step-by-step explanation:

Answer:

23x+120

Step-by-step explanation:

3x+20x+120

Combine Like Terms:

=3x+20x+120

=(3x+20x)+(120)

=23x+120

Answer:

(1, 7)

Step-by-step explanation:

By looking at the graph, the solution is (1, 7).

Step-by-step explanation:

C = 3 × 34

C = 102

Usually it's

C = 3.14 × 34

C = 106.76

This is a more accurate answer but with your question specifically, the answer above is more correct.

Answer:

The area is 88 square inches.

Step-by-step explanation:

To get the area of a rectangle, you multiply the length and the width.

The length of this rectangle is 11 inches and the width is 8 inches.

11x8=88

Tip: You can multiply by 11s easily if you replace the ones with the number you are multiplying. This only works for numbers up to 9 though.

Example:

11x5=55

11x2=22

Answer:

66 pots

Step-by-step explanation:

The height of flower pot is 66 inches

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Measurement of mug = 6 inches

as, the slower pot is 11 times taller than the mug

=11 * 6

=66 inches.

Hence, the height of flower pot is 66 inches

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

G(x) or at least in the question i hae seen but i do not see your table so just gonoff of what i say below becase it might be f(x)

Step-by-step explanation:

Exponetial funtions are when you have a power of, for example g(x)=1+6x^2

It increases at a rather fast pace because of the power of 2 in this equaion when if it did not have thepower of 2 it would increase at a slower pace