For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. What do you think the slope and the y intercept represent? How much money will she make if she baby-sits 5 hours?

The length of e is 29.53 inches.

In the following, the law of sine is presented in detail: In a triangle, the sine of angle A divided by side "a" equals the sine of angle B divided by side "b" equals the sine of angle C divided by side "c".

Given:

f= 33 inches

<F= 140, <D = 5

Now,

<E= 180 - (<F+ <D) = 180 - (140 + 5) = 35

Using Sine law

sin F / f = sin E/ e

sin 140 / 33 = sin 35 / e

0.642/ 33 = 0.573 / e

0.0194 e= 0.573

e= 29.53 inches

Hence, the length of e is 29.53 inches.

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Correct question is;

Type the correct answer in the box bellow: If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is ...........

Answer:

x = 35°

Step-by-step explanation:

We are told that;

cos x = sin(20 + x)°

and 0° < x < 90°

From trigonometric identities, we know that;

cos x = sin (90 - x)

Applying to our question gives;

sin (90 - x) = sin (20 + x)°

Comparing both sides, we have;

90 - x = 20 + x

Rearranging;

90 - 20 = x + x

70 = 2x

x = 70/2

x = 35°

Answer:

12m

Step-by-step explanation:

You can break this shape down into a square and a trapezoid. Frist you can find the area of the square by multiplying 2 by 5 to get 10. Then you would find the area of a trapezoid by doing Area = 1/2height(base1+base2). We can find the height by subtracting 5 from 9. (We do this because we know the side of the square is 5m) Therefore the height would be 4m. We know the bases are 2 and 4. From there you can plug those numbers in to the formula. Area=1/2 * 4 (2 + 4)

Area= 1/2 * 4 (6)

Area = 2(6)

Area = 12m

Answer:

That means you finished.

Step-by-step explanation:

Answer:

D: 2:3

Step-by-step explanation:

She saw 2/5 mockingbirds

The remainder of birds she could see is 3

This means she saw 3 blue jays

The ratio is mockingbirds to blue jays, which is 2:3

Answer:

33.49 cubic inches

Step-by-step explanation:

the volume of a sphere is represented by (4/3)pi(r)^3

pi is 3.14 and r is 2

so 4/3(3.14)(2^3)

2^3 is also 8

4/3(3.14)(8)

the final answer is 33.4933333

OR when rounded it is 33.49

Statement:

The radius of the sphere is 2 inches.

To find out:

The volume of the sphere.

Solution:

\( = \frac{4}{3} \times 3.14 \times {(2)}^{3} \: \: cubic \: \: inches \\ = \frac{4}{3} \times 3.14 \times 8 \: \: cubic \: \: inches \\ = 33.49 \: \: cubic \: \: inches\)

Answer:

The volume of the sphere is 33.49 cubic inches.

Hope you could understand.

If you have any query, feel free to ask.

Answer:

C

Step-by-step explanation:

Use a graph to figure this out it will be as easy as eating a cake then

Hope this helps

The slope of a line parallel to 2y= 6x+8 is 3.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet. Therefore, two (2) lines are parallel under the following conditions:

m₁ = m₂

By making y the subject of formula, we have:

2y = 6x + 8

y = 3x + 4

Therefore, the slope is 3.

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The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1

To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.

Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.

Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.

On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.

Option 1 is correct.

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Answer:

option c and d

Step-by-step explanation:

Answer:

1. C. (-20,1) and (-20,41)

2. B. (-20,-8) and (-20,50)

Step-by-step explanation: I got this right on Edmentum.

After 2 hours, the second rescue worker finds the injured hiker and radios the first worker for help. The first worker arrives in approximately 28.5 minutes after jogging directly to the second worker at 6 mph.

We can start by finding the distances each worker covers in 2 hours.

For the first worker:

Distance = rate × time

Distance = 3.5 × 2 = 7 miles

For the second worker:

Distance = rate × time

Distance = 2.5 × 2 = 5 miles

Now we can use trigonometry to find the horizontal and vertical components of the first worker's displacement while walking:

Horizontal component = 7 × sin(25°) ≈ 3.01 miles

Vertical component = 7 × cos(25°) ≈ 6.30 miles

Similarly, we can find the horizontal and vertical components of the second worker's displacement:

Horizontal component = 5 × sin(54°) ≈ 4.07 miles

Vertical component = 5 × cos(54°) ≈ 3.62 miles

We can now find the horizontal and vertical components of the distance between the two workers:

Horizontal component = 3.01 - 4.07 ≈ -1.06 miles

Vertical component = 6.30 - 3.62 ≈ 2.68 miles

The distance between the two workers is the hypotenuse of a right triangle with these components as its legs:

Distance = √((-1.06)² + (2.68)²) ≈ 2.85 miles

Finally, we can find the time it takes for the first worker to cover this distance at 6 mi/h:

Time = Distance ÷ rate

Time = 2.85 ÷ 6 ≈ 0.475 hours or 28.5 minutes

Therefore, it will take the first worker about 28.5 minutes to arrive.

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The area of the complex shape is 35.1 square meters.

A unique kind of quadrilateral called a parallelogram has two opposite sides that are parallel to one another. The opposite sides and angles of a parallelogram have equal lengths and measurements.

The given shape is a parallelogram.

Since the opposite sides of a parallelogram are equal, the base of the parallelogram is 27m.

The area of the parallelogram is given by the following formula:

\(A = b *h\)

Where, b is the base and h is the height of the parallelogram.

Substitute the value of b = 27m and h = 1.3m:

A = (27)(1.3)

A= 35.1 square meters.

Hence the area of the complex shape is 35.1 square meters.

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The system of linear equations 3y = x + 6 and 6y - 2x = 12 has infinitely many solutions.

Given the system of euqation in the question;

We can solve this system of linear equations using the substitution method:

From the first equation, we can rewrite x in terms of y as:

x = 3y - 6

Substituting this expression for x in the second equation, we get:

6y - 2(3y - 6) = 12

Simplifying this equation, we get:

6y - 6y + 12 = 12

The equation simplifies to 12 = 12.

This means that the two equations are equivalent and represent the same line in the xy-plane.

The system has infinitely many solutions, and all points on the line satisfy both equations.

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Answer:

424

Step-by-step explanation:

just add as many numbers on the bottom of the line on that specific dot plus the amount on it to get your answer for each then add them all together to get your answer

Answer:

8

Step-by-step explanation:

look at the graph

Answer:

8

Step-by-step explanation:

h(6) is the same as x = 6

all you have to do is find the y value on the line that corresponds with the x value

Answer:

yes because no matter how far you run i will find you

Step-by-step explanation:

Answer: B

Step-by-step explanation:

The vertical asymptotes are at x=-4 and x=1, so the denominator needs to have factors of (x+4) and (x-1).

This eliminates everything except for B.

Answer:

Step-by-step explanation:

4x - 12 ≤ 16 + 8x

4x - 8x ≤ 16 + 12

- 4x ≤ 28

x ≥ - 7 or [ - 7, ∞ )

The constant of variation, k, is defined as the ratio between the two variables' values, multiplied by their respective powers:  \(k = y/x^a \times z/x^b,\) where a and b are the powers of x in the expressions for y and z, respectively. when   \(x = -3\)  and \(y = 4\) , z is equal to -81/16.

In this case, we have x = 8, y = 54, and z = 144, so we need to determine the powers of x in the expressions for y and z:

\(y = 54 = (8^a) \times k = > a = 3\)

\(z = 144 = (8^b) \times k = > b = 2\)

Substituting these values into the formula for k, we get:

\(k = y/x^a \times z/x^b = 54/8^3 \times 144/8^2 = 27/64\)

Therefore, the constant of variation is 27/64.

Using the same formula as above, we can solve for z when x = -3 and y = 4:

\(k = y/x^a \times z/x^b\)

We need to determine the powers of x in the expressions for y and z:

\(y = 4 = (-3)^a * k = > a = -1\)

\(z = ? = (-3)^b * k = >\) we don't know b or z yet

Substituting these values into the formula for k, we get:

\(k = y/x^a * z/x^b = 4/(-3)^(-1) * z/(-3)^b = -12z/(-3)^2\)

Simplifying this expression, we get:

\(k = -12z/9 = -4z/3\)

Now we can solve for z:

\(-4z/3 = 27/64\)

Multiplying both sides by 3/(-4), we get:

\(z = -81/16\)

Therefore, when  \(x = -3\) and   \(y = 4, z\) is equal to   \(-81/16.\)

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Answer:

hold shift then press the lil right  arrow next to the question mark

Step-by-step explanation:

Answer:

shift  +  >

Step-by-step explanation:

Hope this helps

Answer:

b=(30×6)+29

Step-by-step explanation:

Hope this helps :)

Armed force and other for Henderson high school is greater than

Johnson High School.

The mode for each school is college.

Options F and G are the correct answer.

We have,

The number of students in Henderson High School.

Work = 96

College = 114

Armed forced = 48

Other = 42

The number of students in Johnson High School.

Work = 30

College = 40

Armed forced = 15

Other = 15

From the information,

The number of students in Work for Henderson High School is greater than Johnson High School.

Now,

Henderson High School:

Armed force and other = 48 + 42 = 90

Mode = college

Johnson High School.

Armed force and other = 15 + 15 = 30

Mode = college

Thus,

Armed force and other for Henderson high school is greater than

Johnson High School.

The mode for each school is college.

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Point (-4, -6)

Parallel y = -3/2x - 5

1.- As the lines are parallel, they have the same slope

slope of both lines = -3/2

2.- Equation of the line

y - y1 = m(x - x1)

Substitution

y + 6 = -3/2(x + 4)

y = -3/2 x - 12/2 - 6

y = -3/2 x - 6 - 6

Result

y = -3/2 x - 12

The perimeter of the pond is 2.92 meters.

A right-angled triangle is a triangle in which one of the angles measures exactly 90 degrees, also known as a right angle.

The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs.

The perimeter of a right-angled triangle is the sum of the lengths of its three sides.

Here we have

The Hypotenuse of the triangle is 1.46 m    

The angle between hypotenuse and perpendicular height = 73°

From triagonometric ratios,

=> cos A = Perpendicular height/ Hypotenuse.

=> cos (73) = Perpendicular height/1.46

=> Perpendicular height = 1.46 × 0.29 = 0.42 m

As we know from Pythagoras' theorem,

Hypotenuse² = side² + side²    

Side = √Hypotenuse² - side²  

= √[(1.46)²- (0.42)²]  = 1.04

Therefore, the sides of the pond are 1.46 m, 0.42 m, and 1.04

Hence, perimeter of the pond =  1.46 + 0.42 + 1.04 = 2.92 meters  

Therefore,

The perimeter of the pond is 2.92 meters.

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The complete Question is given below

Answer:

30 markers

Step-by-step explanation:

We need to divide 24 by 8 to find how many packs of 10 markers we can buy, this gets us 3 packs of 10 markers. I hope this helps!

Answer:

114 cm^2

Step-by-step explanation:

area of a triangle= base x height divided by 2

Answer:

Triangle = 114 ft²

Rectangle = 374 ft²

Total figure = 488 ft²

Step-by-step explanation:

Triangle = 1/2 b*h

Triangle = 1/2(12x19)

Triangle = 1/2(228)

Triangle = 114 ft²

Rectangle = 22 x 17

Rectangle = 374 ft²

Total area = 114 ft² + 374 ft²

Total area = 488 ft²

Answer:

40000, 20000

Step-by-step explanation:

Let the amount a grandchild receives be \(x\). Then, the amount a child receives is \(2x\).

Thus, \(220000=2(2x)+7x=11x \implies x=20000\).

This means each grandchild gets $20,000 and each child gets $40,000.

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip