Ayden is 1.85 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 39.55 meters. He stands 35.4 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.

Step-by-step explanation:

The pizza chain has 5 different topings.

Number of different pizzas = 2⁵ = 32.

We have 2^n >= 1000.

Since 2⁹ = 512 and 2¹⁰ = 1024,

the minimum number of toppings is 10.

The volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis is 51π cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis, we can use the method of cylindrical shells.

The formula for the volume using cylindrical shells is:

V = 2π ∫ [a, b] x * h(x) dx

Where:

- V is the volume of the solid

- π represents the mathematical constant pi

- [a, b] is the interval over which we are integrating

- x is the variable representing the x-axis

- h(x) is the height of the cylindrical shell at a given x-value

In this case, we need to solve for x in terms of y to express the equation in terms of y.

Rearranging the given equation:

x = 5 ± √(1 - y)

Since we are only interested in the region in the first quadrant, we take the positive square root:

x = 5 + √(1 - y)

Now we can rewrite the volume formula with respect to y:

V = 2π ∫ [c, d] x * h(y) dy

Where:

- [c, d] is the interval of y-values that correspond to the region in the first quadrant

To determine the interval [c, d], we set the equation equal to zero and solve for y:

1 - (x - 5)² = 0

Expanding and rearranging the equation:

(x - 5)² = 1

x - 5 = ±√1

x = 5 ± 1

Since we are only interested in the region in the first quadrant, we take the value x = 6:

x = 6

Now we can evaluate the integral to find the volume:

V = 2π ∫ [0, 1] x * h(y) dy

Where h(y) represents the height of the cylindrical shell at a given y-value.

Integrating the expression:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * h(y) dy

To find h(y), we need to determine the distance between the y-axis and the curve at a given y-value. Since the curve is symmetric, h(y) is simply the x-coordinate at that point:

h(y) = 5 + √(1 - y)

Substituting this expression back into the integral:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

Now, we can evaluate this integral to find the volume

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

To simplify the integral, let's expand the expression:

V = 2π ∫ [0, 1] (25 + 10√(1 - y) + 1 - y) dy

V = 2π ∫ [0, 1] (26 + 10√(1 - y) - y) dy

Now, let's integrate term by term:

\(V = 2\pi [26y + 10/3 * (1 - y)^\frac{3}{2} - 1/2 * y^2]\)] evaluated from 0 to 1

V = \(2\pi [(26 + 10/3 * (1 - 1)^\frac{3}{2} - 1/2 * 1^2) - (26 * 0 + 10/3 * (1 - 0)^\frac{3}{2} - 1/2 * 0^2)]\)

V = 2π [(26 + 0 - 1/2) - (0 + 10/3 - 0)]

V = 2π (25.5)

V = 51π cubic units

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Answer:

7)  468 ft²

8)  864 m²

9)  192 cm²

Step-by-step explanation:

To calculate the area of each given composite figure, divide the figure into two rectangles and sum the area of the two rectangles.

\(\boxed{\begin{minipage}{5cm}\underline{Area of a rectangle}\\\\$A=w\cdot l$\\\\where:\\ \phantom{ww} $\bullet$ \quad $w$ is the width.\\ \phantom{ww} $\bullet$ \quad $l$ is the length.\\\end{minipage}}\)

Separate the figure into two rectangles by drawing a vertical line (see attachment).

\(\begin{aligned}\textsf{Total Area}&=\textsf{Area 1}+\textsf{Area 2}\\&=16 \cdot 17 + 14 \cdot 14\\&=272+196\\&=468\; \sf ft^2\end{aligned}\)

Separate the figure into two rectangles by drawing a horizontal line (see attachment).

\(\begin{aligned}\textsf{Total Area}&=\textsf{Area 1}+\textsf{Area 2}\\&=18 \cdot 18 + 30 \cdot 18\\&=324+540\\&=864\; \sf m^2\end{aligned}\)

Separate the figure into two rectangles by drawing a horizontal line (see attachment).

\(\begin{aligned}\textsf{Total Area}&=\textsf{Area 1}+\textsf{Area 2}\\&=8 \cdot 8+16 \cdot 8\\&=64+128\\&=192\; \sf cm^2\end{aligned}\)

Answer:

The midpoint (x,y)=(6,9)

Step-by-step explanation:

We need to find midpoints(x,y) of the line segment having endpoints S(8, 8) and T(4, 10)

The formula to find midpoint is:

\(Midpoint(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\\)

We are given: \(x_1=8, y_1=8, x_2=4 , y_2=10\)

Putting values and finding midpoint

\(Midpoint(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\Midpoint(x,y)=(\frac{8+4}{2},\frac{8+10}{2})\\Midpoint(x,y)=(\frac{12}{2},\frac{18}{2})\\Midpoint(x,y)=(6,9)\)

So, the midpoint (x,y)=(6,9)

Answer:

Attached is an example of a circle with a radius of 5 and a diameter of 10.

If this answer helped you, please leave a thanks or a Brainliest!!!

Have a GREAT day!!!

Answer:

0.05,0.1,1.5,3.81

Step-by-step explanation:

the equation is:

Now if you realise all the numbers in the numerator are multiples of 9, and also all terms have at least one x and one y, so we can take a common factor:

if you want to prove this, you can use the distribution propertie. and now we can simplify the equation:

Answer:

The third circle on the bottom

Step-by-step explanation:

looking at it tells you that none of the other answers were correct.

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

To establish trust with Martina, the nurse should show respect, use non-verbal communication, incorporate play, involve the parent, and individualize the approach.

To establish a trusting relationship with Martina, the nurse can employ several approaches:

Respect and empathy: The nurse should approach Martina with genuine respect and empathy, recognizing her unique needs and individuality. This can be conveyed through a calm and patient demeanor.

Non-verbal communication: Since Martina may not be responsive to verbal cues, the nurse can utilize non-verbal communication to establish connection and trust. This can include maintaining eye contact, using gentle touch, and respecting Martina's personal space.

Play and familiar objects: Given Martina's engagement with the blue stuffed dog, the nurse can incorporate play into their interactions. Bringing familiar objects or toys that Martina finds comforting can help create a sense of familiarity and security.

Parental involvement: Involving Martina's mother in the care process can be beneficial. The nurse can communicate with the mother, seek her input, and involve her in the administration of medications. This helps build trust not only with Martina but also with her caregiver.

Individualized approach: Recognizing Martina's autistic disorder, the nurse should tailor their approach to her specific needs. Understanding her sensory sensitivities and preferences can help create a safe and comfortable environment.

By implementing these strategies, the nurse can foster trust and a positive therapeutic relationship with Martina, promoting her overall well-being and care.

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Complete Question:

What approach would help the nurse establish a trusting relationship with Martina, a 3-year-old with bronchitis and autistic disorder, who is intensely occupied with a blue stuffed dog and does not seem responsive to the nurse's presence in the room, while the mother is also present?

Answer:

D.) there is 9a and 6b ,3c and 1 thats four different terms

Step-by-step explanation:

Have a nice day! :D

Answer:

It would take Al 7.5 days to build the grill alone.

Step-by-step explanation:

Since Tim and Al are bricklayers, and Tim can construct an outdoor grill in 5 days, and if Al helps Tim, they can build it in only 3 days, to determine how long would it take Al to build the grill alone should be done the following calculation:

1/5 + X = 1/3

0.20 + X = 0.333

X = 0.333 - 0.20

X = 0.1333333

X = 1 / 7.5

Therefore it would take Al 7.5 days to build the grill alone.

Answer: E) C(10, 2)C(8, 1)C(7, 1)C(6, 1)C(5, 1)C(4, 2)C(2, 2)

Step-by-step explanation:

According to the combinations: Number of ways to choose r things out of n things = C(n,r)

Given word: "georgianna"

It is a sequence of 10 letters with 2 a's , 2 g's , 2 n's , and one of each e, o,r, i.

If we think 10 blank spaces, then in a sequence we need 2 spaces for each of g.

Number of ways = C(10,2)

Similarly,

1 space for 'e' → C(8,1)

1 space for 'o' → C(7,1)

1 space for 'r' → C(6,1)

1 space for 'i' → C(5,1)

1 space for 'a' → C(4,2)

1 space for 'n' → C(2,2)

Required number of different sequences  = C(10,2) ×C(8,1)× C(7,1)× C(6,1)×C(5,1)×C(2,2).

Hence, the correct option is E) C(10, 2)C(8, 1)C(7, 1)C(6, 1)C(5, 1)C(4, 2)C(2, 2)

Answer: you can maybe show them being trapped in the bathroom them come in with a sharp knife and splash or put ketchup on the part you stabbbed them

Step-by-step explanation:

Shape: Right rectangular prism

Solved for Volume

Formula: V=whl

Formula 2: L x W x H

How to solve volume Right rectangular prism?

To find the volume of a rectangular prism, multiply the length x width x height. In this case the answer will end up as 105.

Solution: V=whl=3·7·5=105

Answer: V=105

Answer:

Area

Step-by-step explanation:

Perimeter is around the edges and area covers the entire surface. To paint a wall you want the whole thing covered so area is correct.

Answer:

x = 65

Step-by-step explanation:

the sum of the interior angles of a quadrilateral = 360°

sum the angles and equate to 360

x + 95 + 118 + 82 = 360

x + 295 = 360 ( subtract 295 from both sides )

x = 65

Answer:

slope intercept form: y= -6x+3

point slope form: y-0= -6(x -1/2)

Step-by-step explanation:

point slope form: y - y1 = m(x - x1)

substitute the values  y-0=-6(x-1/2)

slope intercept form:

find the slope using two given points

m = (y2 - y1) / (x2 - x1)

= (3 - 0) / (0 - 1/2)

= 3 / (-1/2)

= -6

substitute into equation

y= -6x+3

Answer:

\(\sqrt{\left(4-1\right)^2}+\left(3+1\right)^2\)

\(\longmapsto \sqrt{(4-1)^2} =3\)

\(\longmapsto (3+1)^2=4^2\)

\(\hookrightarrow 3+4^2\)

\(\hookrightarrow 4^2=16\)

\(\hookrightarrow 3+16\)

\(\hookrightarrow 19\checkmark\)

hope it helps

Answer:

5

Step-by-step explanation:

Given :

\(\sqrt{(4-1)^{2} +(3+1)^{2} }\)

Now,

\(\sqrt{(3^{2} )+4^{2} } \\\sqrt{9+16}\\\sqrt{25} \\5\)

Answer of the given expression will be 5.

Answer:

B .3 I m not sure about it but I think it's 3

Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

The surface area of this rectangular prism of dimensions 26 inches by 10 inches by 8 inches is 1096 square inches.

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The surface area of this rectangular prism = 2( lb + bh + hl)

The dimensions of a rectangular prism are 26 inches by 10 inches by 8 inches.

The surface area of this rectangular prism = 2( lb + bh + hl)

  = 2( 26 x 10 + 10 x 8 + 26 x 8)

  = 2(260 + 80 + 208)

  = 2 x 548

  = 1096

Thus, The surface area of this rectangular prism is 1096 square inches.

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The range of the graph of the exponential function is (b) {y | y > 0}

From the question, we have the following parameters that can be used in our computation:

The graph of the exponential function

The rule of an exponential function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is always greater than the constant term

From the graph, the constant term is 0

So, the range is y > 0

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Reducing the completion average  time for Jobs J and K by one day will shorten the overall project completion time by one day, allowing the project to finish one day early.

In order to finish the project one day early, the completion time for Jobs J and K should be reduced by one day. This is because these two jobs are part of the three critical paths of the project. By reducing the completion time for these two jobs by one day, the entire project will be completed one day early. This is because the critical paths are the paths that will determine the overall project completion time. By reducing the completion time for these two jobs, the overall project completion time will be shortened. This will allow the project to be finished one day earlier than expected.

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Answer:

11.9

Step-by-step explanation:

I think this is the answer

round 18.232 = 18.2

round 6.25 = 6.3

then 18.2-6.3 =11.9

I hope this helps, mark brainless if it's correct :)

Answer:

-5

Step-by-step explanation:

When you subtract a negative you end up adding it instead