Amplitude of y=sin(x)

Answer:

after 4 years her salary would be $48,000

salary after t years: y=2000t+40000

Answer:

multiply

Step-by-step explanation:

Answer:If terms have the same base a and same fractional exponent n/m, we can add them. The rule is given as:

Can/m + Dan/m = (C + D)an/m

Here’s an example of adding fractional exponents:

2x2/5 + 7x2/5 = 9x2/5

Step-by-step explanation: anyway, i hope that this answers your question. Have a good day!

Answer:

20

Step-by-step explanation:

55% of 20 is 11 so there are 20 students

Answer:

220%

Step-by-step explanation:

Answer:

y = 30°         { adjacent angles }

z = 90 - 30° = 60°     { right angle triangle - 90° }

x = 180° - 60° - 60° = 60°  { isosceles, triangle has two sides 60° }

The perimeter of the triangle is 96, rounded to the nearest hundredth.

To calculate the perimeter of the triangle, we need to first calculate the length of the hypotenuse.

The hypotenuse of a right triangle is calculated using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the two sides.

Therefore, for this triangle, we have:

(Hypotenuse)² = (24)² + (32)²

Therefore, the Hypotenuse = √(24² + 32²)

Hypotenuse = √(576 + 1024)

Hypotenuse = √1600

Hypotenuse = 40

To calculate the perimeter, we need to add up all three sides of the triangle.

the perimeter = 24 + 32 + 40

the perimeter = 96

Therefore, the perimeter of the triangle is 96, rounded to the nearest hundredth.

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Hey there!

Is 4/3 greater than 9/9?”

Well…
4/3

= 4 ÷ 3

= 1.333333333333333

9/9

= 9 ÷ 9

= 1

4/3 > 9/9

Thus, your answer: YES 4/3 is GREATER THAN 9/9

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

y+64=180

y=180-64=116°.

y=4x-28 (vertically opposite angle)

116=4x-28

116+28=4x

144=4x

x=36°.

hope this helps you.

Answer: B (The cost of a notebook is $0.75, and the cost of a folder is $0.25.)

Step-by-step explanation:

No need for explanation. i know i’m right!!

Gezbe, let's recall the properties of an isosceles triangle:

1. It has at least two equal sides.

2. This property is equivalent to two angles of the triangle being equal.

Therefore, an isosceles triangle has both two equal sides and two equal angles.

Now, we know that angle y is also 42 degrees.

For calculating x, we use the following formula:

x = 180 - 42 - 42

x = 180 - 84

x = 96

Solution: x = 96 and y = 42

Answer:

If the mayor knows the area and length of the base of the flower garden, she can divide the area by the length to determine the height

Step-by-step explanation:

Area = Length • Height

divide both sides by Length

Area/Length = Height

Answer:

First, she starts with the formula for area for the specific shape in the problem. Then, substitute the area and the base into the formula. Finally, she can solve the resulting equation for the height.

Sorry i'm really late with a answer but i hope it helps people

:)

When a plane is inclined at a 45-degree angle and intersects a cylinder's base along its diameter with radius "r," it results in the division of the cylinder into two identical right circular cones.

Imagine a cylinder with a radius "r."

The plane passes through the cylinder's base, creating a line that bisects the circular base into two equal halves.

This intersection between the inclined plane and the cylinder forms a cross-section that resembles an isosceles right triangle.

By symmetrically splitting the cylinder along its central axis, the inclined plane generates two congruent right circular cones, each with a 45-degree angle at its apex. The curved line formed by the intersection represents the boundary between the two cone halves.

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Surface Area of the given figure is 68 sq.in

The missing image is attached with the answer.

Area is the space occupied by a two dimensional object.

The given figure is a  Prism with square base of 4 inch side and the lateral surface are triangle of side 4 inch and height 6 inch

The surface area of the prism is given by

Surface Area = 2bh + s²

Surface Area =  2 * 4 * 6 + 4²

Surface Area of the given figure is 68 sq.in

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A principal amount of P 200,000 was deposited for a period of 4 years and 6 months, and it earned an interest of P 85,649.25. To find the rate of interest compounded monthly, we can use the formula for compound interest and solve for the interest rate.

The formula for compound interest is given by A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, we are given the principal amount P as P 200,000, the final amount A as P 285,649.25 (P 200,000 + P 85,649.25), the time t as 4 years and 6 months (or 4.5 years), and we need to find the interest rate r compounded monthly (n = 12).

Using the given values in the compound interest formula and solving for r, we can find the rate of interest. By rearranging the formula and substituting the known values, we can isolate the interest rate r and calculate its value.

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Given:

The expression is:

\((x^2y-3)^0+x^{\frac{1}{3}}-(4x)^{\frac{1}{2}}\)

To find:

The value of the given expression when \(x=64\) and \(y=27\).

Solution:

We have,

\((x^2y-3)^0+x^{\frac{1}{3}}-(4x)^{\frac{1}{2}}\)

Putting \(x=64\) and \(y=27\), we get

\(=((64)^2(27)-3)^0+(64)^{\frac{1}{3}}-(4(64))^{\frac{1}{2}}\)

It can be written as

\(=((64)^2(27)-3)^0+(4^3)^{\frac{1}{3}}-(4)^{\frac{1}{2}}(64)^{\frac{1}{2}}\)

\(=1+4-2(8)\)           \([\because a^0=1,a\neq 0]\)

\(=5-16\)

\(=-11\)

Therefore, the value of the given expression \(-11\) when \(x=64\) and \(y=27\).

The one that is a step used in the construction of an equilateral triangle inscribed in a circle  is:

B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter

The steps to construct an equilateral triangle inscribed in a circle are:

1. Draw a point that will be the center of the circle. Label this "point O". Technically, it doesn't matter which character you use to represent a point.

2. Draw a perfect circle centered at point O using a compass.

3. Use a ruler to draw a straight vertical line through point O. Extend this line beyond the boundaries of the circle. 4) Draw a point where the line and the circle intersect. Label the bottom point "Point W" and the top point "Point X".

5) Draw a second circle. The center of this circle is point W and the radius extends to point O.

6) Mark both places where the two circles intersect. Label the left point "Point Y" and the right point "Point Z".

7) Connect the points X, Y and Z with a ruler or straightedge. 

Looking at the options, the only correct step is:

B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter

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Answer:

If he mows 3/20 in 1/6 of an hour he'll mow 18/20 or 9/10 in one hour

which means the ratios are equal

1/6:3/20 = 1:18/20 = 1:9/10

Therefore, Jerry will mow 90% of the lawn in one hour

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may GOd bless you

Answer:-1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2(−x+4)−3x+2=−5

(−2)(−x)+(−2)(4)+−3x+2=−5(Distribute)

2x+−8+−3x+2=−5

(2x+−3x)+(−8+2)=−5(Combine Like Terms)

−x+−6=−5

−x−6=−5

Step 2: Add 6 to both sides.

−x−6+6=−5+6

−x=1

Step 3: Divide both sides by -1.

−x −1 = 1 −1 /x=−1

Answer:

x=−1

Given that sec(t) = -2.475 and angle t is in Quadrant III, the other five trigonometric ratios are as follows: cos(t) ≈ 0.404, sin(t) ≈ -0.916, tan(t) ≈ 2.268, csc(t) ≈ -1.092, and cot(t) ≈ 0.441.

We are given that sec(t) = -2.475, which represents the reciprocal of the cosine of angle t. Since sec(t) is negative and angle t is in Quadrant III, we can deduce that the cosine of t is negative. To find cos(t), we can use the identity sec(t) = 1/cos(t) and solve for cos(t), resulting in cos(t) ≈ 0.404.

Using the Pythagorean identity \(sin^2(t) + cos^2(t)\) = 1, we can find sin(t) as sin(t) = ±\(\sqrt(1 - cos^2(t))\). Since angle t is in Quadrant III, where sine is negative, we take the negative value. Thus, sin(t) ≈ -0.916.

By dividing sin(t) by cos(t), we obtain the tangent of t. Hence, tan(t) ≈ sin(t)/cos(t) ≈ -0.916/0.404 ≈ 2.268.

Cosecant (csc) is the reciprocal of sine, so csc(t) ≈ 1/sin(t) ≈ -1.092.

Similarly, cotangent (cot) is the reciprocal of tangent, so cot(t) ≈ 1/tan(t) ≈ 1/2.268 ≈ 0.441.

In conclusion, when sec(t) = -2.475 and angle t is in Quadrant III, the other five trigonometric ratios are approximately: cos(t) ≈ 0.404, sin(t) ≈ -0.916, tan(t) ≈ 2.268, csc(t) ≈ -1.092, and cot(t) ≈ 0.441.

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The equation 61 * 61 * 61 = (** 61 *)^2 can be replaced with 0 through 9 in various ways for the decimal equation to be correct.

In this equation, we have three instances of the number 61 being multiplied together on the left-hand side, and on the right-hand side, we have a square of a number that contains two unknown digits. We need to determine the values of these unknown digits (represented by the stars) by replacing them with digits from 0 to 9, such that the equation holds true.

To find the possible combinations, we can start by calculating the left-hand side of the equation. 61 * 61 * 61 equals 226,981. Now, we need to find two-digit numbers whose square is equal to 226,981. By taking the square root of 226,981, we find that it is approximately 476.383.

Since the square of the number on the right-hand side should be equal to 226,981, the two digits represented by the stars must be 7 and 6 in some order. Therefore, the equation can be written as 61 * 61 * 61 = (7*61 + 6)^2 or as 61 * 61 * 61 = (6*61 + 7)^2, depending on the order of the digits.

By replacing the stars with 7 and 6 in either order, we find a valid solution for the equation. It is important to note that there might be other combinations that satisfy the equation as well, but the specific values of the stars being 7 and 6 are valid options.

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Answer:

A&B

Step-by-step explanation:

Because by going through this paragraph the closest answer is that these are necessary steps to ensure that the youth have successful lives.

Answer:

Step-by-step explanation:

To find the point on the line y = 2x + 3 that is closest to the origin (0,0), we can use the concept of the shortest distance between a point and a line.

The line y = 2x + 3 can be rewritten as 2x - y + 3 = 0 in standard form. The distance between a point (x, y) and the line can be calculated using the formula:

distance = |Ax + By + C| / √(A² + B²)

In this case, A = 2, B = -1**, and **C = 3. Plugging these values into the formula, we can calculate the distance between the origin and the line.

The point on the line that is closest to the origin is the one where the distance is minimized. By finding the point that satisfies the minimum distance condition, we can determine the coordinates of the point.

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Approximately 41 truck loads are needed to hold it.

Given that,

A builder is 243 cy backfilling. assuming each truck has a 162 cubic feet capacity

To find : What number of truckloads are required?

The quantity of trucks required serves as an example of rates.

There are 42 trucks required.

How to calculate the quantity of trucks

The backfill's size is specified as follows: 243 CY

A vehicle may carry as much as 162 CF.

The required number of trucks is then determined as follows:

n = 243 / 162

Convert n = 243 * 27 /162 from CY to CF.

Fix n = 40.5.

n is approximately 41.

So, to hold it, roughly 41 truck loads are required.

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Answer:

Answers below.

Step-by-step explanation:

\(\frac{6x+3}{5} =3x+9\)

\(6x+3= 5(3x+9)\\6x+3=15x+45\\3=9x+45\\-42=9x\\\)

The answer would be \(\frac{9}{-42} x\)

Answer:

x = - \(\frac{14}{3}\)

Step-by-step explanation:

Given

\(\frac{6x+3}{5}\) = 3x + 9 ( multiply through by 5 to clear the fraction )

6x + 3 = 15x + 45 ( subtract 15x from both sides )

- 9x + 3 = 45 ( subtract 3 from both sides )

- 9x = 42 ( divide both sides by - 9 )

x = \(\frac{42}{-9}\) = - \(\frac{14}{3}\)

Answer:

Step-by-step explanation:

We assume your equation is intended to be ...

  h = -16t² +38.4t +0.96

The line of symmetry of this equation, hence the t-coordinate of the vertex, is given by ...

  h = ax² +bx +c

  t = -b/(2a) . . . . equation of the line of symmetry

  t = -38.4/(2(-16)) = 1.2

The friend catches the apple after 1.2 seconds.

The value of h at that point is ...

  t = (-16(1.2) +38.4)1.2 +0.96 = 19.2·1.2 +0.96 = 24

The apple is caught 24 feet above the ground.

Answer:

5.6 cm

Step-by-step explanation:

use the cosine ratio to get the answer since AB is the adjacent side and the hypotenuse has already been given

Answer:

6/8

Step-by-step explanation:

If we simply 12/16, we need to divide both numerator and demonstrator by 2:

12/2 = 6

16/2 = 8

6/8

Answer:

12/16 = 6/8

Step-by-step explanation:

divide both by 2