Four friends went to a park to fly kites. Asher stood 50 feet due west of the flagpole. Baxter stood 50 feet due north of Asher. Cranby stood 100 feet due East of Baxter. Dudley stood 50 feet due south of Cranby. How far is Dudley from the flagpole

Answer:

Step-by-step explanation:

Because two points determine a line, you can draw altitude​ BD perpendicular to AC with height h. By the definition of a sine ratio, sin(C) = h/a, which can be rearranged into​ a·sin(C) = h​. The area of △ABC is A=1/2bh. The substitution property of equality can be used to write A=1/2b(a sinC), which becomes A=1/2ab(sinC) by the commutative property of multiplication.

___

The mnemonic SOH CAH TOA reminds you that the sine ratio is ...

  Sin = Opposite/Hypotenuse

Here, the side of the right triangle opposite angle C is designated "h", the height of ∆ABC. The hypotenuse of that right triangle is side "a". So ...

  sin(C) = h/a

__

The substitution property of equality lets you replace any expression with its equal. Here, we have h=a·sin(C), so we can use a·sin(C) in place of h in the formula for triangle area:

  1/2bh = 1/2ba·sin(C)

__

The commutative property of multiplication lets you rearrange the order of the factors in a product, so ...

  ba = ab

and

  A = 1/2ba·sin(C) = 1/2ab·sin(C)

Answer:

Other user is correct

Step-by-step explanation:

Answer:

The height of the clothing truck is 6 feet

Step-by-step explanation:

Length of truck = 12 feet

Width of truck = 8 feet

Let h be the height of truck

Volume of truck which is shaped like rectangular prism =[tex]Length \times Width \times Height[/tex]

Volume of truck which is shaped like rectangular prism =[tex]12 \times 8 \times h[/tex]

We are given that The volume of the truck 576 ft cubed.

So, [tex]12 \times 8 \times h = 576[/tex]

[tex]h = \frac{576}{12 \times 8}[/tex]

h=6

Hence the height of the clothing truck is 6 feet

Answer:

6

Step-by-step explanation:

A\9

Step-by-step explanation:

Answer:

[tex]55.5cm[/tex]

Step-by-step explanation:

[tex]area \\ 5106= \frac{1}{2} (a + b) \times h \\ 5106= \frac{1}{2} \times (119 + 65) \times h \\ 5106= \frac{1}{2} \times 184 \times h \\ 5106 = \frac{184}{2} \times h \\ 5106 = 92h \\ \frac{5106}{92} = \frac{92h}{92} \\ \\ h = 55.5cm[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

$2.54

Step-by-step explanation:

Tips are percentages of the meal prices.  Divide the tip by the meal price to find the percentage that the tip is of the meal.

9.20/78.00 = 0.118 = 11.8%

Multiply the second meal by the percentage calculated.

21.5 × 0.118 = 2.54

The tip for the second meal is $2.54

Answer:

The answer is option 3.

Step-by-step explanation:

Given that the Indices Law is,

[tex] {a}^{ - n} = \frac{1}{ {a}^{n} } [/tex]

For n^(-6)p³ :

[tex] {n}^{ - 6} \times {p}^{3} [/tex]

[tex] = \frac{1}{ {n}^{6} } \times {p}^{3} [/tex]

[tex] = \frac{ {p}^{3} }{ {n}^{6} } [/tex]

Answer:

the answer would be C

Step-by-step explanation:

i had that test

Answer:c

Step-by-step explanation:

Answer:

Your answer is 2/13

Step-by-step explanation:

i wrote it out as kings/aces but, it works the same exact way for your question.

Answer:.88

Step-by-step explanation:

all stars show a pattern

Answer:

We don't know the price of the roses, so there is not enough information to answer.

Answer:

multiply it and add see if that's gives u the answer

Final answer:

Destiny needs to prepare at least 3 pans of her gelatin dessert to provide enough servings for 9 people, with each pan holding 8 servings.

Explanation:

Calculating the Minimum Number of Pans Needed

To find out the minimum number of pans Destiny needs to feed 9 people, we need to determine the total number of servings required and then see how many 8-serving pans will cover that need. Destiny plans 16 servings for every 6 people. So for 9 people, we calculate how many servings we would need using a simple proportion:

(16 servings / 6 people) = (x servings / 9 people)
Cross-multiply to solve for x: (16 servings × 9 people) = (x servings × 6 people)
144 servings = 6x servings
Divide both sides by 6: x = 24 servings

Destiny needs 24 servings for 9 people. Each pan holds 8 servings, so the number of pans needed is:

24 servings ÷ 8 servings per pan = 3 pans

Therefore, to make enough gelatin desserts to feed 9 people, Destiny needs at least 3 pans.

Answer:

D

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AB}{AD}[/tex] = [tex]\frac{AC}{AE}[/tex], substituting values

[tex]\frac{m}{m+n}[/tex] = [tex]\frac{p}{p+q}[/tex] → D

Answer:

see below

Step-by-step explanation:

Draw a line with points on it from -10 to 10 going by 1

Put a dot at -5 for the -5 point

-(-5) is 5

Put a dot at 5

Answer:

Draw a straight horizontal line, and mark integers on it in increasing order as you move towards the right

Start counting from 0.

For -5, place a mark 5 units towards left of 0

For -(-5), which is actually +5, place a mark 5 units towards right of 0

Answer:

1,875

-9,375

46,875

Step-by-step explanation:

You're multiplying by -5 every time, so your next three numbers would be 1,875 -9,375 and 46,875

Answer:

287 rounded to the nearest hundred would be 300.

Answer:

300

Step-by-step explanation:

Note the hundreds place value (bolded and underlined)

287

Look at the place value directly next to it (the tens place value). It is an 8. Because 8 is greater than 5, round up:

287 rounded to the nearest hundreds is 300.

300 is your answer.

~

Answer: 15%-8%=C

Step-by-step explanation:

Answer:

Well, you didnt include answers, but... here's the explanation.

Step-by-step explanation:

Ok so, the sale is 15% off.  As an example, lets use $10 as the original price.  15% off of $10 = 1.5, so we subtract 10 - 1.5 = 8.5.  Now, if the sale tax is 8%, we need to add 8% of 10, which is 0.8 - Now we get our final equation to calculate p, which is 8.5 + 0.8 = P.  8.5 + 0.8 = 9.3, and so the final price after discount AND sales tax are included is $9.3 - Hope this helped.  Mark me as brainliest please :)

Answer:

1) a. CI = 0.426 < p < 0.574

2) c. CI = 2.74% < p < 6.524%

3) a. CI = 20 < μ < 22

4) c. CI = 81.11 < μ < 85.09

5) b. CI = 76.21 < μ < 89.79

6) d. $453.59 < μ < $874.69

7) d. CI = $559 < σ < $1953.3

8) c. CI = $3.96 < σ < $6.72

9) c. 6.22 ft < σ < 12.59 ft

10) d. 0.19 oz < σ < 0.72 oz

Step-by-step explanation:

The Confidence Interval, CI are given as follows

For the population proportion

[tex]CI=\hat{p}\pm z\times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]

1)  [tex]\hat p[/tex] = 55/110 = 0.5

z at 88% = ±1.56

a. CI = 0.426 < p < 0.574

2)  [tex]\hat p[/tex] = 31/669 = 0.5

z at 98% = ±2.326

c. CI = 2.74% < p < 6.524%

3) Here we have unknown population standard deviation, so we find the t interval

[tex]\bar x[/tex] = 21

n = 130

s = 3.0

Confidence level = 98%

[tex]CI=\bar{x}\pm t_{\alpha/2} \frac{s}{\sqrt{n}}[/tex]

[tex]t_{\alpha /2}[/tex] = ±2.356

CI = 20.380 < μ < 21.62

Rounding up gives;

a. CI = 20 < μ < 22

4) Similarly here we have;

[tex]t_{\alpha /2}[/tex] = ±1.699 and

c. CI = 81.11 < μ < 85.09

5) Here

[tex]\bar x[/tex] = 83

s = 13.5

n = 30

Confidence level = 99%

[tex]t_{\alpha /2}[/tex] = ±2.76 and

b. CI = 76.21 < μ < 89.79

6) In the question, we have

[tex]\bar x[/tex] = $664.14

s = $297.29

n = 14

Confidence level = 98%

[tex]t_{\alpha /2}[/tex] = ±2.65 and

CI = $453.56 < μ < $874.72

d. $453.59 < μ < $874.69

7) The confidence interval for a population standard deviation is given by the following relation;

[tex]\sqrt{\frac{\left (n-1 \right )s^{2}}{\chi _{1-\alpha /2}^{}}}< \sigma < \sqrt{\frac{\left (n-1 \right )s^{2}}{\chi _{\alpha /2}^{}}}[/tex]

Here

n = 9

x = $3959

s = $886

Therefore we have

d. CI = $559 < σ < $1953.3

8) Here we have;

n = 41

x = $108

s = $5

Therefore;

c. CI = $3.96 < σ < $6.72

9) Here we have;

n = 29

x = 65 ft

s = 8.5 ft

Therefore we have

CI = 6.3 ft < σ < 12.73 ft

c. 6.22 ft < σ < 12.59 ft

10) Here we have

n = 8

s = 0.301188123

d. 0.19 oz < σ < 0.72 oz.

Answer:

32ft^2

Step-by-step explanation:

because Area of the surface triangle is A = 1/2ap

So its 4 * 16 divided by 2

Answer:

I AM PRETTY SURE IT IS 4.4K

Step-by-step explanation:

Answer:

Cos 35

Step-by-step explanation:

They have the same answer when typed in a calculator

Answer:

1350

Step-by-step explanation:

1000 to 1100 is an increase of 100 bacteria per 6 hours

100/6 = 16.67 bacteria per hour

16.67 * 15 hours = 250

Total bacteria should be 1100+250= 1350

hope this helps :D

Answer:

1,500 bacteria.

Step-by-step explanation:

I don't know what P=Aekt means but I understand the rest:

Hour 0: 1,000 bacteria

Hour 6: 1,300 bacteria

We can conclude from this evidence that it takes 6 hours to grow 300 new bacteria.

Let's use a ratio

new bacteria : hours

      300          :     6

        50          :      1

       500         :     10

So we get 500 new bacteria after 10 hours. Using our original population of 1,000 and our new added members, we get 1,500 bacteria at Hour 10.

Answer:

.25 or 25%

Step-by-step explanation:

.5 × .5 = .25 or 25%

Final answer:

The probability of at least two coins landing on heads can be found by calculating the probabilities for each possible number of heads (2 to 10), and adding them together, or by subtracting the probabilities of 0 or 1 head from 1. Each toss has a 50% chance, and binomial probabilities can be used for detailed calculations.

Explanation:

The question is about calculating the probability of at least two coins landing on heads when tossed multiple times. To solve this type of probability problem, one must consider all possible outcomes and then identify the number of favorable outcomes. Assuming each coin tossed is fair, the chance of landing on heads for any single toss is 50%.

Let's consider tossing a coin ten times. Theoretically, one could get an outcome with any number of heads ranging from 0 to 10. To specifically address the probability of getting at least two heads, you would add up the probabilities of getting 2 heads, 3 heads, ..., up to 10 heads. For example, the probability of getting exactly 2 heads in 4 tosses can be calculated using the binomial probability formula, which in this case would be P(X = 2) = (4 choose 2) * (0.5)^2 * (0.5)^(4-2), and you would perform similar calculations for each number of heads from 2 to 10.

The probabilities for getting 0 or 1 heads can be subtracted from 1 to find the probability of getting at least 2 heads. This approach is often easier than adding up all the individual probabilities for 2 to 10 heads. For instance, the probability of getting at least one (one or two) tail in two flips is P(F) = 3/4, where F is the event of getting at least one tail which includes the outcomes HT, TH, and TT.

Answer:

The number of cubes needed = 12

Step-by-step explanation:

To know the number of cubes that will be needed to fill the prism, we need to divide the the volume of the right rectangular prism by the volume of the cube.

Mathematically, the volume of the right rectangular prism can be calculated using the formula;

V = whl

where w is the width, h is the height and l is the length.

Plugging the values we have in the question for the right rectangular prism, we have;

V = 3/4 * 1 * 1/4 = 3/16 inch^3

The volume of the cube can be calculated using the formula L^3 where L is the side length

V = 1/4 * 1/4 * 1/4 = 1/64 inch^3

The number of cubes needed to fill the prism is thus;

(3/16) ÷ (1/64) = 3/16 * 64/1 = 3 * 4 = 12

12 small cubes with side lengths of 1/4 inch each are needed to fill the given right rectangular prism.

To find out how many small cubes with side lengths of 1/4 inch are needed to fill a right rectangular prism with edges measuring 3/4 inch, 1 inch, and 1/4 inch, we need to calculate the volume of the prism and divide it by the volume of one small cube.

The volume of the prism is found by multiplying the lengths of its sides:
Volume of prism = (3/4 inch) * (1 inch) * (1/4 inch) = 3/16 cubic inches.

The volume of a small cube with a side length of 1/4 inch is:
Volume of small cube = [tex](1/4 inch)^3[/tex] = 1/64 cubic inches.

To find the number of small cubes needed to fill the prism, we divide the prism's volume by the small cube's volume:
Number of small cubes = Volume of prism / Volume of small cube
Number of small cubes = (3/16) / (1/64)

By simplifying this division, we get:
Number of small cubes = 3/16 * 64 = 12

Therefore, 12 small cubes with side lengths of 1/4 inch each are needed to fill the right rectangular prism.

Answer: 6 × 1/1000

Step-by-step explanation:

Lana is creating a video. Her computer shoes that the video is 184.026 second long. From the figures, 184.026

1 represents 100

8 represents 80

4 represents 4

0 represents 0 tenths

2 represents 2 hundredths

6 represents 6 thousandths

Therefore, 6 × 1/1000 is the right answer.

The correct expanded form expression for one of the digits in Lana's video length is D. 6 * [tex]\frac{1}{1000}[/tex] which matches the digit 6 in the thousandths place correctly.

Lana's video length is 184.026 seconds. To write it in extended form, we separate each digit by its place value:

Now, let's match the given options to this expanded form:

Therefore, the correct answer is D. 6 * [tex]\frac{1}{1000}[/tex]

Complete question:

Lana is creating a video. Her computer shows that the video is 184.026 seconds long. She writes the length of the video in expanded form. Which expression represents the value of one of the digits in the length of Lana’s video?

A. 1* 1000

B. 2* [tex]\frac{1}{10}[/tex]

C. 4* 10

D. 6* [tex]\frac{1}{1000}[/tex]