pleasee helpp. Find all missing angles.
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Your answer should be 12 feet, we do 4 * 15 which is 60, then divide by 5 which means 12 is your answer, or A.

Answer:

58 seconds

Step-by-step explanation:

100 meters in all

Exact calculations:

There are 2 half parts and first half in 27.8 seconds and second in 30.12 seconds so in all it took 27.8+30.12 = 57.92 seconds

Best estimates

27.8 ≈ 28

30.12 ≈ 30

Lily swims a 100 meter race in about 28+30 = 58 seconds

The long jump pit was recently rebuilt to make it level with the runway.  the amount of wood, in meters, is 12.29 meters.

Generally, To determine the amount of wood needed in meters, you will need to convert the length of each piece of wood from feet to meters. You can use the conversion factor that 1 foot is equal to approximately 0.3048 meters.

To convert the length of the wood from feet to meters, you can use the formula:

length in meters = length in feet * 0.3048

Using this formula, you can calculate that 2.75 meters is equal to approximately 9 feet, and 9.54 meters is equal to approximately 31.25 feet.

Therefore, the total amount of wood needed in meters is 2.75 meters + 9.54 meters = 12.29 meters.

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Answer:

The answer is 9.9

Step-by-step explanation:

Answer:

99/10 or: 9 9/10 or: 9.9

Step-by-step explanation:

The trajectory of your message illustrates a quadratic function

The equation of the trajectory of the message is \(y = -\frac 15(x - 17)^2 + 20\)

The trajectory graph (see attachment) is a quadratic function that passes through the following points:

(x,y) = (7,0) and (27,0)

And the vertex is:

(h,b) = (17,20)

A quadratic function is represented as:

\(y = a(x - h)^2 + b\)

So, we have:

\(y = a(x - 17)^2 + 20\)

Substitute (7,0) for (x,y)

\(0 = a(7 - 17)^2 + 20\)

Evaluate

\(0 = 100a + 20\)

Collect like terms

\(100a = -20\)

Divide both sides by 100

\(a = -\frac 15\)

Recall that:

\(y = a(x - 17)^2 + 20\)

So, we have:

\(y = -\frac 15(x - 17)^2 + 20\)

Hence, the equation of the trajectory of the message is \(y = -\frac 15(x - 17)^2 + 20\)

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A] 1/3

B] \(\frac{5}{10}\)×\(\frac{5}{9\\}\)=\(\frac{25}{90}\)=\(\frac{5}{18}\)

Answer:

536.17 cubic yards

Step-by-step explanation:

Answer:

its 50.27

Step-by-step explanation:

its asking what the base is equal to, so u find basically the area of the base

Answer: No

Step-by-step explanation: No because y is not the same as x.

The correct statements describing the rational function are given as follows:

The function has a hole when x = 3, and vertical asymptotes when x = 0 and x = 5.

A rational function is a type of function in which the input variable x is present in the denominator of the function, as the definition of the function is fractional.

As the denominator of a fraction cannot be zero, a rational function has holes, which are values of x for which the function is undefined.

If the function increases to infinity next to these holes, these holes are classified as vertical asymptotes, otherwise they are just holes.

The holes from the table given at the end of the answer are given as follows:

This means that the last statement is correct.

The problem is given by the image shown at the end of the answer.

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Answer:

The function has a hole when x = 0 and a vertical asymptote when x = 4.

Step-by-step explanation:

Answer:

Simple Interest Formula

step 1: multiply the given principal sum P, interest rate R in percentage & time period in years together. step 2: for yearly interest payable, divide the result of above multiplication (P x R x T) by 100 gives the simple interest.

The number of bars of soap that the soap maker ship to the store is 90.

From the information, the soap maker wants to ship as many bars of soap as she can to a store. Each bar of soap weighs 1/5 pound.

Since the box that she will use to ship the soap can hold a maximum of 18 pounds of soap. The number of soaps will be:

= 18 ÷ 1/5

= 18 × 5

= 90

The number of soaps is 90.

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The volume of oil exiting the pipe is approximately 100 cu in/hr, 2,400 cu in/day, and 1.39 cu ft/day when converting cu in/day to cubic feet per day.



To calculate the volume of oil exiting the pipe every hour, you would need to know the flow rate of the oil in cubic inches per hour. Let's assume the flow rate is 100 cubic inches per hour.To find the volume of oil exiting the pipe every day, you would multiply the flow rate by the number of hours in a day. There are 24 hours in a day, so the volume of oil exiting the pipe every day would be 100 cubic inches per hour multiplied by 24 hours, which equals 2,400 cubic inches per day.

To convert the volume from cubic inches per day to cubic feet per day, you would need to divide the volume in cubic inches by the number of cubic inches in a cubic foot. There are 1,728 cubic inches in a cubic foot. So, dividing 2,400 cubic inches per day by 1,728 cubic inches per cubic foot, we get approximately 1.39 cubic feet per day.

Therefore, the volume of oil exiting the pipe is approximately 100 cubic inches per hour, 2,400 cubic inches per day, and 1.39 cubic feet per day.

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Answer:

2

Step-by-step explanation:

Like and give 5 star rating

Answer:

A = 120 cm²

Step-by-step explanation:

The 4 part of the ratio relates to the height of triangle A , then

16 ÷ 4 = 4 cm ← value of 1 part of the ratio, then

5 parts = 5 × 4 cm = 20 cm

The area (A) of triangle B is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

Here b = 12 and h = 20 , then

A = \(\frac{1}{2}\) × 12 × 20 = 6 × 20 = 120 cm²

Answer: soo if the bill is $38

then 15% times 100 = 0.15

38.00 x 0.15 = $5.7

Step-by-step explanation:

Answer:

$5.7 as a tip

Answer:

this is a positive correlation

Step-by-step explanation:

it is going up so its positive

Answer:

\(m_1=\frac{Fd^2}{Gm_2}\)

Step-by-step explanation:

\(F=G \left(\frac{m_1 m_2}{d^2} \right) \\ \\ \frac{F}{G}=\frac{m_1 m_2}{d^2} \\ \\ \frac{Fd^2}{G}=m_1 m_2 \\ \\ m_1=\frac{Fd^2}{Gm_2}\)

To show that y = x² is a solution of the Euler equation if and only if r is a root of the auxiliary equation r² + (a - 1)r + b = 0, we substitute y = x² into the Euler equation:

x(xy") + a(x²)y + b(x²) = 0

Differentiating y twice with respect to x, we have:

2 + 2ax + ax² + 2bx² = 0

Simplifying this equation, we get:

(1 + a)x + (2b + a)x² = 0

Comparing the coefficients of x and x² to zero, we obtain:

1 + a = 0 ---> a = -1

2b + a = 0 ---> 2b - 1 = 0 ---> b = 1/2

Substituting these values of a and b into the auxiliary equation, we have:

r² + (a - 1)r + b = r² + (-1 - 1)r + 1/2 = r² - 2r + 1/2 = (r - 1)² = 0

Therefore, the auxiliary equation has a repeated root r = 1.

(ii) If r₁ and r₂ are real roots of the auxiliary equation, the general solution is given by y = C₁x^(r₁) + C₂x^(r₂). Substituting r₁ = r₂ = 1 into this general solution, we have:

y = C₁x + C₂x = C₁x + C₂x²

(iii) If r₁ = r₂ = r, we can use reduction of order to find another solution. Let y₂ = u(x)y₁ = ux. Differentiating y₂ with respect to x, we have:

y₂' = u'x + u

Substituting y = y₂ = ux and y' = y₂' into the Euler equation, we have:

x(xy₂") + a(x²)y₂ + b(x²) = 0

x(u''x + 2u') + a(x²)(ux) + b(x²) = 0

Dividing the equation by x, we get:

u''x + 2u' + axu + bx = 0

Since y₁ = x is a solution, we substitute y = y₁ = x into this equation:

ux'' + 2u' + axu + bx = 0

Differentiating this equation with respect to x, we have:

u''x + 2u' + axu + bx = 0

This equation is satisfied identically, meaning that u(x) = In(x) is a solution.

Hence, the general solution of the Euler equation in this case is given by y = (C₁ + C₂In(x))x.

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To evaluate the integral ∫√√x⋅(13x) dx, we can make a substitution u = √x. Then, du/dx = 1/(2√x) and dx = 2u du.

Making the substitution, the integral becomes:

∫(√u)⋅(13u²)⋅(2u du)

Simplifying, we have:

26∫u^3/2 du

Integrating term by term, we add 1 to the exponent and divide by the new exponent:

26 * [(u^(3/2 + 1))/(3/2 + 1)] + C

= 26 * [(u^(5/2))/(5/2)] + C

= (52/5) * u^(5/2) + C

Now, substituting back u = √x, we have:

(52/5) * (√x)^(5/2) + C

= (52/5) * (x^(1/4)) + C

So, the evaluated integral is (52/5) * (x^(1/4)) + C.

To check our result, we can differentiate the obtained expression and verify if it matches the original integrand.

Differentiating (52/5) * (x^(1/4)) + C with respect to x, we get:

d/dx [(52/5) * (x^(1/4))] + d/dx [C]

= (52/5) * (1/4) * x^(-3/4)

= 13 * x^(-3/4)

The result matches the original integrand, confirming the correctness of our evaluation.

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The surface described by the equation z = sin(y) is a periodic undulating surface in three-dimensional space. It consists of a series of wave-like curves that repeat along the y-axis.

When y takes on different values, the corresponding z-values change according to the sine function. The sine function oscillates between -1 and 1, causing the surface to oscillate up and down along the z-axis. As y increases, the peaks and valleys of the surface repeat periodically.

To sketch the surface, we can plot a series of points that lie on the surface for different values of y. As y varies, we can calculate the corresponding z-values using the sine function. By connecting these points, we obtain a visualization of the surface.

Note that the surface extends infinitely in the x and z directions, while its variation occurs along the y-axis. The graph may resemble a series of parallel wave-like curves, with peaks and valleys repeating periodically.

Therefore, the surface z = sin(y) exhibits a sinusoidal behavior and provides an interesting visual representation of the sine function in three dimensions.

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Answer:

B

Step-by-step explanation:

given

tanΘ = \(\frac{3\sqrt{5} }{2}\) = \(\frac{opposite}{adjacent}\)

this ratio relates to a right triangle, with hypotenuse h and

legs 3\(\sqrt{5}\) and 2

using Pythagoras' identity in the right triangle

h² = (3\(\sqrt{5}\) )² + 2² = 45 + 4 = 49 ( take square root of both sides )

h = \(\sqrt{49}\) = 7

then

cosΘ = \(\frac{adjacent}{hypotenuse}\) = \(\frac{2}{7}\)

the population will reach 8 billion by 2012 ,as calculated by properties of logarithm.

Given:

To find: Year when population is 8 billion, i.e., y = 8.

Finding:

8 = 6.72  ( \(1.014^x\))

=> \(\frac{8}{6.72}= ( 1.014^x)\)

Taking log on both sides

=> \(log(\frac{8}{6.72})= log( 1.014^x)\)

=> log(1.19) = x (log 1.014) (as \(log_b(a)^m = m (log_b(a))\) )

=> \(\frac{log(1.19)}{log (1.014)}\) = x

=> x = \(\frac{0.0755}{0.006}\)

=> x = 12.58

Hence, the population will reach 8 billion by 2012 ,as calculated by properties of logarithm.

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Explanation

Given: A deck of cards

We are required to determine the probability that the two chosen cards are face cards.

This is achieved thus:

We know that the face cards in a deck of cards are the Kings, Queens, and Jacks.

We also know that a deck of 52 cards can be broken down thus:

The probability of an event is given as:

Therefore, we have:

Hence, the answer is:

Answer:

-5ab + 5a²c

Step-by-step explanation:

5ab(a-1) - 5a²(b - c)

= 5a²b - 5ab - 5a²b + 5a²c

= -5ab + 5a²c

So, the answer is -5ab + 5a²c

Answer:

-48

Step-by-step explanation:

Answer:

$2.93

Step-by-step explanation:

Divide 58.65 by 20 and you get your answer :)

Answer:

beta increases

Step-by-step explanation:

Answer:

11/13

Step-by-step explanation:

Answer:

-5/2(-2.5)

Step-by-step explanation:

hope this helps