What is the measure of

Answer:

I think the answer is 900

Step-by-step explanation:

Use the formula to find the area of a trapeziod (search it up the find it)

Then fill in the numbers where they belong.

Answer:

The speed of the plane in still air and the speed of the jet stream are 525 miles per hour and 75 miles per hour.

Step-by-step explanation:

From Mechanical Physics, we know that absolute velocity of the airplane ([tex]v_{A}[/tex]) is equal to sum of the absolute velocity of the jet steam [tex](v_{J})[/tex] and the relative velocity of the airplane with respect to jet stream (velocity of the airplane in still air) ([tex]v_{A/J}[/tex]). Al velocities are measured in miles per hour. Let suppose that both jet stream and airplanes travels at constant velocity. Now, we construct the following system of linear equations:

Flight with the jet stream

[tex]v_{J}+v_{A/J} = \frac{2700\,mi}{4.5\,h}[/tex]

[tex]v_{J}+v_{A/J} = 600\,\frac{mi}{h}[/tex] (1)

Flight against the jet stream

[tex]v_{J} -v_{A/J} = -\frac{2700\,mi}{6\,h}[/tex]

[tex]v_{J}-v_{A/J} = -450\,\frac{mi}{h}[/tex] (2)

The solution of this system of linear equations is:

[tex]v_{J} = 75\,\frac{mi}{h}[/tex], [tex]v_{A/J} = 525\,\frac{mi}{h}[/tex]

The speed of the plane in still air and the speed of the jet stream are 525 miles per hour and 75 miles per hour.

Answer: $22.61

Step-by-step explanation: A 25% discount means that instead of paying the full value, you will pay 25% less. So the total price you will pay for a CD of $32.99:

P₁ = 32.99 * (1 - 0.25)

P₁ = 32.99 * (0.75)

P₁ = 24.7425

However, you still have a discount of 15% over the price, so:

P₂ = 24.7425 * (1 - 0.15)

P₂ = 24.7425 * (0.85)

P₂ = 21.03

The sales tax is a value incorporated over the price after all the discounts:

P = 21.03 * (1 + 0.075)

P = 21.03 * (1.075)

P = 22.61

The total final price for the CD is $22.61.

Answer:

48

because I know........

Answer:

48

Step-by-step explanation:

60 divided by 100, then times 80 equals to 48

Answer:

8

Step-by-step explanation:

ratios of legs = 3x and 4x

Pythagorean theorum:

A^2+B^2=C^2

3x^2+4x^2=10^2

9x^2+16x^2=100

25x^2=100  --> divide by 25

x^2=4 --> x=2

length of longer leg is 4x = 4 x 2 = 8

The length of the longer leg of the triangle is 8.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given that, the legs of the right triangle are in the ratio of 3:4.

Therefore, let the legs of the triangles be 3x and 4x.

Since the hypotenuse of the triangle is 10, using the Pythagorean theorem it follows:

10² = (3x)² + (4x)²

100 = 9x² + 16x²

100 = 25x²

x² = 4

x = 2

Therefore, the lengths of the legs are:

3(2) = 6, and

4(2) = 8

Hence, the length of the longer leg of the triangle is 8.

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Answer:

The volume is: [tex]V = \frac{\pi}{3}[/tex] cubic units

Step-by-step explanation:

Volume of a solid:

The volume of a solid, given by the function f(x), over an interval between a and b, is given by:

[tex]V = \pi \int_{a}^{b} (f(x))^2 dx[/tex]

y = x, y =1, x = 0

This means that the upper function is y = 1, and the lower function is y = x. So

[tex]f(x) = (1 - x)[/tex]

The lower limit of integration is x = 0.

The upper limit is y = x when y = 1, so x = 1.

Then

[tex]V = \pi \int_{a}^{b} (f(x))^2 dx[/tex]

[tex]V = \pi \int_{0}^{1} (1-x)^2 dx[/tex]

[tex]V = \pi \int_{0}^{1} (1-2x+x^2) dx[/tex]

[tex]V = \pi (x-x^2+\frac{x^3}{3})|_{0}^{1} dx[/tex]

[tex]V = \pi(1 - (1^2) + \frac{1^3}{3})[/tex]

[tex]V = \frac{\pi}{3}[/tex]

Answer:

3.25 or 3 1/4

Step-by-step explanation:

Remove the parentheses first: 3/4 + (1/3 / 1/6) - (-1/2)

1/3 / 1/6 turns into 1/3 * 6

Reduce the numbers:

3/4 + (1/3 * 6) + 1/2

cross multiplication, 6 divided by 3 = 2.

So the new equation is 3/4 + 2 + 1/2

Then you calculate.

3/4 + 2 + 1/2 = 13/4

13/4 reduced is 3 1/4 or 3.25

Answer:

1/6y^3

Step-by-step explanation:

Answer:

1/6y^3

Step-by-step explanation:

cancel the common factor of y^2 and y^5

Answer:

None

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

The decrease in number of allergic reactions is of 0.3333%.

Step-by-step explanation:

Initial percentage:

Nine out of 1500, so the percentage is:

[tex]\frac{9*100}{1500} = \frac{900}{1500} = 0.6[/tex]

Initially: 0.6% of allergic reactions.

Final percentage:

Four out of 1500, so the percentage is:

[tex]\frac{4*100}{1500} = \frac{400}{1500} = 0.2667[/tex]

WIth the improved formula: 0.2667% of allergic reactions.

What is the percent decrease in number of allergic reactions?

0.6% - 0.2667% = 0.3333%

The decrease in number of allergic reactions is of 0.3333%.

Answer:

Across

Evapotranspiration is the sum of evaporation from plants.

Earth is surrounded by invisible gases that form a thin protective blanket that we call the atmosphere.

Water flows downhill because gravity is a form of potential energy – and the water, or anything that falls or rolls downward – flows in response to differences in potential energy (from high to low). ... Therefore, the potential energy that drives groundwater movement includes both pressure and gravity.

Precipitation: hail, rain, freezing rain, sleet and snow.

Condensation is the opposite of vaporization. Condensation occurs when a gas loses energy, slows in motion so that its cohesive force pulls the molecules close, but the molecules still have enough energy to break away from one connection only to connect with another molecule.

Down

Alternatively evaporation of the liquid should leave a solid residue. ... Dissolving is a reversible process and the solute can be recovered from a solution by evaporation though it will not always be in the exactly the same form as at the start.

Boiling. If a liquid is heated the particles are given more energy and move faster and faster expanding the liquid.

Answer: No entiendo la historia y no vengas por mí, solo quería los puntos jajaja

Step-by-step explanation:

Answer:

3. A=(6b)/2

Step-by-step explanation:

Answer:

The value of the test statistic is [tex]t = -1.61[/tex]

Step-by-step explanation:

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Our test statistic is:

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the expected mean, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

A publisher reports that 52% of their readers own a laptop.

This means that [tex]\mu = 0.52[/tex]

Sample of 180:

Means that [tex]n = 180[/tex]

By the Central Limit Theorem:

[tex]\frac{\sigma}{\sqrt{n}} = s = \sqrt{\frac{0.52*0.48}{180}} = 0.0372[/tex]

A random sample of 180 found that 46% of the readers owned a laptop.

This means that [tex]X = 0.46[/tex]

Find the value of the test statistic.

[tex]t = \frac{X - \mu}{s}[/tex]

[tex]t = \frac{0.46 - 0.52}{0.0372}[/tex]

[tex]t = -1.61[/tex]

The value of the test statistic is [tex]t = -1.61[/tex]

Answer:

I'm confused. Is there more to the question?

Answer:

7,6

Step-by-step explanation:

So in total Peyton must buy 10 items. Since she's already buying 4 drinks. We need to find the amount of tacos the max amount of tacos she can buy are 7 tacos and the minimum is 6 because if we bought less than 6 it wouldn't have met the criteria for 10 items minimum. And if we passed 7 tacos it would go past the limit of how much money Peyton has. I hope this helped:)

Answer:

Step 3 is incorrect

Step-by-step explanation:

4(-1/2x + 7) + 5x = 15

-2x + 28 + 5x = 15

3x + 28 = 15

3x + 28 - 28 = 15 - 28

3x = -13

Answer:

1). x = 81

2). x = 84

Step-by-step explanation:

1). By applying geometric mean theorem in the given triangle,

   [tex]\frac{x}{18\sqrt{14}}= \frac{18\sqrt{14}}{56}[/tex]

   56x = (18√14)²

   56x = 4536

   x = [tex]\frac{4536}{56}[/tex]

   x = 81

2). By applying geometric mean theorem,

    [tex]\frac{x}{8\sqrt{21}}= \frac{8\sqrt{21} }{16}[/tex]

    16x = (8√21)²

    16x = 1344

    x = [tex]\frac{1344}{16}[/tex]

   x = 84

= −1(45p + 22) + −1(4(9p) + 11)

= −1(45p + 22) + −1(4(9p)) + (−1)(11)

= −1(45p + 22) + −36p + −11

= (−1)(45p) + (−1)(22) + −36p + −11

= −45p + −22 + −36p + −11

= −45p + −22 + −36p + −11

= (−45p + −36p) + (−22 + −11)

= −81p + −33

-81p - 33

- Pacific Northwest

Answer:

x is greater than or equal to 3 inches.

Step-by-step explanation:

The required inequality that models the situation of age to grow is given as x ≥ 3.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Let the age to be grow be x,
According to the question,
45 + x ≥ 48

Simplifying the above expression,
x ≥ 3

Thus, the required inequality that models the situation of age to grow is given as x ≥ 3.

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Answer:

Obtuse triangle

Step-by-step explanation:

Given

Sides: 6cm, 7cm and 12cm

Angle: 120 degree

Required

Determine the type of triangle

Because the measure of an angle of the triangle was mentioned, we have to classify the triangle by its angle.

From the question, we understand that one of the angles is greater than 90 (i.e. 120 degrees). This type of triangle are referred to as obtuse triangles.

Answer:

The remainder is 88

Step-by-step explanation:

The Remainder of a Division

We have to find the remainder when we divide 849,400 by 216.

It could be found by doing the long division, but we'll do it with a calculator.

Entering the division in the calculator we get:

849,400/216=3,932.4074...

We take the whole part of the quotient (3,932) and multiply it by the divisor:

3,932*216=849,312

The remainder is obtained by subtracting 849,400-849,312=88

The remainder is 88

Answer:

A) 14.3606 ft

B) 2.8112 seconds

Step-by-step explanation:

A) At maximum height which is its peak, the velocity will be zero.

Now, we are given height modeled by;

h(t) = 4.98t² - 14t + 20

v(t) = dh/dt = 9.96t - 14.

At max height which is v(t) = 0, we have;

9.96t - 14 = 0

9.96t = 14

t = 14/9.96

t = 1.4056 s

Thus, height at this time is;

h(1.4056) = 4.98(1.4056)² - 14(1.4056) + 20

h(1.4056) = 14.3606 ft

B) time of flight = 2 × time to get to peak = 2 × 1.4056 = 2.8112 seconds.

Answer:

The inequality f ≥ 4n +2 is true for all values of 'f'

Step-by-step explanation:

Explanation:-

Let 'f'  represents any number

The set of even integers greater than '4'

f = { 6, 8, 10,12, 14 ,.............}

we have to write the inequality equation

f ≥ 4n +2

Final answer:-

The inequality f ≥ 4n +2 is true for all values of 'f'

Answer:

Step-by-step explanation:

Find the image attached

Since ABCD is a square, <ACB = 45 degrees

Given <ACB = 11x-32

Equate both

11x-32 = 45

11x = 45+32

11x = 77

x = 77/11

x = 7

Hence the value of x is 7

Answer:

vertex= (0,-4), Axis of symmetry - x= 0,

sorry I don't know the rest and I don't know  if this is even know if this is correct, so good luck I hope someone else can.

Step-by-step explanation:

Answer:

The answer would be D = 4 or option 2.

Step-by-step explanation:

9/12 = 3/?

First, you want to simplify 9/12

9/12 = 3/4

This shows you that D = 4

Answer:

Yes they are correct

Step-by-step explanation: