Given that sin θ = 0.5, where π/2 < θ < π , find cos θ .

Answer:

To find the simplest form is to find a number than can evenly go into both numbers. 7/14=1/2. 1/2 as you can divide 7 into 7 one time and 7 into 14 twice. A half (1/2). Because 7 is the half of 14, so the simplest form is 1/2. At first look you think it's already in its simplest form, but

explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{7}{14}}\\\\\\\mathsf{= \dfrac{7\div7}{14\div7}}\\\\\\\mathsf{= \dfrac{1}{2}}\\\\\\\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{\dfrac{1}{2}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

x=1 and y=−1

Step-by-step explanation:

Multiply the first equation by 5,and multiply the second equation by 6.

5(−3x−6y=3)

6(5x+5y=0)

Becomes:

−15x−30y=15

30x+30y=0

Add these equations to eliminate y:

15x=15

Then solve15x=15for x:

15x=15

15x

15

=

15

15

(Divide both sides by 15)

x=1

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

−3x−6y=3

Substitute1forxin−3x−6y=3:

(−3)(1)−6y=3

−6y−3=3(Simplify both sides of the equation)

−6y−3+3=3+3(Add 3 to both sides)

−6y=6

−6y

−6

=

6

−6

(Divide both sides by -6)

y=−1

Answer:

m = 8h

Step-by-step explanation:

For any given h value (number of hours), the m value is h * 8. For example, after 2 hours, she has earned 16 dollars. h is 2 and h * 8 = 16.

Answer:

m = 8h

Step-by-step explanation:

She earns 8 dollars per hour.

For example:

If she worked for 5 hours she would earn 40 dollars.

m = 8(5)

m = 40

Answer:

1= 1

2=11

3=7

Step-by-step explanation:

subtract 6 from the input so

7-6=1

11-6=5 so input 11

13-6=7

Answer:

y=  -3          

y = 4                        

Step-by-step explanation:

Answer:

Step-by-step explanation:

3.245e+13

Answers:

Note: Your teacher may not want you to type "feet" into the answer boxes.

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Explanation:

The tree's shadow is 120 ft long, so it's the length of the horizontal side of the triangle. With regard to the reference angle (47 degrees), this 120 ft side is adjacent to the angle because it's as close as possible to the angle. That means the X is the opposite side of the reference angle.

The Y side is the longest side. It's the hypotenuse. The hypotenuse is always the longest side and always opposite the largest angle of a right triangle (so it's always opposite the 90 degree angle).

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

To find Y, we'll use the cosine rule

cos(angle) = adjacent/hypotenuse

cos(47) = 120/Y

Y*cos(47) = 120

Y = 120/cos(47)

Y = 175.9535 .... make sure your calc is in degree mode

Y = 176.0

When rounding to the nearest tenth, the second '5' will bump that 9 up to 10, which then carries over and why 175 bumps up to 176.

The distance from the tip of the tree to the tip of the shadow is roughly 176 feet.

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

We can use the tangent rule to find X

tan(angle) = opposite/adjacent

tan(47) = X/120

120*tan(47) = X

X = 120*tan(47)

X = 128.6842

X = 128.7

The tree is roughly 128.7 feet tall

This is somewhere between a 12 story and 13 story building assuming each story is 10 ft (since 12 stories = 12*10 = 120 ft, and 13 stories = 130 ft).

Answer:

60

Step-by-step explanation:

Answer:

Step-by-step explanation:

orgoi2rv

Answer:

108π mm.

Step-by-step explanation:

The hour hand makes a full circle of 12 hr, in 45 min=0.75 hours it will will have made 0.75/12 of a full circle. Given that the tip of the hour hand travels along the circumference of a circle, the radius of circle will be equal to the lenth of the hand.  

But:

circumference is given by:

C=2*π*radius

The distance traveled by the hand in 12 hours will be:

2**36=76π mm

The distance traveled in 45 min will be:

0.75/12 *72π=4.5π mm

in 45min, the min hand will make 45/60=3/4 of a full circle. If the min hand is 150% of the hour hand, then its length is 150/100*36=54 mm.

Thus the tip of the minute will travel along the entire circuference of a circle with a 54 mm radius, this implies that for a full circle we shall have:

2*π*54mm=108π mm.

Hence;

in 45 min, the tip of the minute hand will have traveled 108*3/4*π=81π mm

Answer:

the picture is messed up

Step-by-step explanation:

Answer:

34?

Step-by-step explanation:

P=a+b+c=10+12+12=34

Answer:

the 2nd one

Step-by-step explanation:

So, the bird visits 40 flowers per hour and approximately 347,750 flowers per year.

A. On average, a bird visits 950 flowers per day. To find the number of flowers visited per hour, we divide 950 by 24 (the number of hours in a day). This gives us approximately 39.58 flowers per hour. Rounded to the nearest whole flower, the bird visits 40 flowers per hour.

B. To find the number of flowers visited in a year, we multiply the number of flowers visited per day (950) by the number of days in a year (365). This gives us approximately 347,750 flowers visited per year.

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Answer: B,D

Step-by-step explanation:

Answer:

if LJK is 28, then by using the triangle sum theorem, JLK is 62. because the triangles are congruent,( angle+side+hypotneus/HL), JLK is congruent to JLM, so you add them together and get 62+62=124 = MLK. I'm pretty sure thats the right answer, might want to go over that.

The degree of the polynomial 7x³ 5x 4x³ 2x² is 3.

The degree of a polynomial is the highest power of x in the polynomial.

In this case, the polynomial is 7x³ 5x 4x³ 2x², and the highest power of x is x³. This means that the degree of this polynomial is 3.

It's important to note that when working with polynomials it's important to pay attention to the signs of the coefficients. In this case, we have 7x³, 5x, 4x³, 2x². The x³ term has the highest degree and it's coefficient is 7, the x term has the second highest degree and it's coefficient is 5, the x³ term has the same degree as the first x³ term, but the coefficient is different, and the x² term has the fourth highest degree and it's coefficient is 2.

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Answer:none of these

Step-by-step explanation:

The theoretical probability that the coin lands on heads and roll the cube and the number are less than 5 is 1/3.

What is an event?

An event is a collection of experiment results (a subset of the sample space) to which a probability is ascribed in probability theory.

There are 6 faces of a cube.

The numbers less than 5 on a cube are 1, 2, 3, 4.

The number of favorable outcomes is 4.

The total number of outcomes is 6.

The probability of getting less than 5 is

favorable outcome/ total number of outcomes = 4/6 = 2/3.

The number of faces of a coin is 2.

The number of heads of a coin is 1.

The probability of getting head is 1/2.

The probability of getting less than 5 in a roll and head in the coin is

2/3 × 1/2 = 1/3.

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Answer:

So, option D is your answer

Step-by-step explanation:

If 2 lines are parallel to A Third line, then the 2 lines are parallel.

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hope it helps..

have a great day!!

Answer:

The temperature was -8.5

Step-by-step explanation:

Subtraction

Answer:

(0,5) and (1,0)

Step-by-step explanation:

Answer:

[tex]\displaystyle f'(n) = 0[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Basic Power Rule:

Step-by-step explanation:

The derivative of any constant is equal to 0.

2170 toys Jamal assemble altogether during his first 20 days.

What is the arithmetic sequence?

A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms.

Here, we have

Given: Jamal got a job working on an assembly line in a toy factory. On the 20th day of work, he assembled 137 toys. He noticed that since he started, every day he assembled 3 more toys than the day before.

We have to find how many toys did Jamal assemble altogether during his first 20 days.

We apply the arithmetic sequence formula and we get

tₙ = t₁ + (n-1)d

137 = t₁ + (20-1)(3)

t₁ = 80

To calculate the total number of toys that Jamal assemble in his first 20 days,

S₂₀ = (20/2)(2×80 + (20-1)(3))

S₂₀ = 2170

Hence, 2170 toys Jamal assemble altogether during his first 20 days.

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Answer: 157.1

Step-by-step explanation:

The length of the side of the table top as calculated from the given data will be 6x⁴y².

To calculate the area of the table top we will have to square of the sides given .

area =(36x.16y^4 )²

side =√(36x.16y^4 )²

= 6x⁴y².

In mathematics the product of a number multiplied by itself is considered to be its square. Eg.) 6 multiplied by 6 gives 36 which is known as its square.

The given table is square in shape and hence its area will be given my multiplying its side with itself.

Area of a square = side x side.

To find its length we can simply find the square root of the number.

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Answer: the perimeter of the garden is 24 and the area of the garden is 32

Step-by-step explanation:

Perimeter: 4 + 4 + 8 + 8 = 24

Area: 4 x 8 = 32

Answer:

No

Step-by-step explanation:

You can check using pythagoras theorem

Answer:

Since she needs 10 cones:

10 * 116.52 sq. ft = 1,165.2 sq ft.

She will need 1,165.2 sq ft of material.

Step-by-step explanation: