Here is a map of the Missouri Botanical Garden. Clare walked all the way around the garden.

The map shows a scale measure that represents 0, 300, and 600 feet.
What is the actual distance around the garden? Show your reasoning.
It took Clare 30 minutes to walk around the garden at a constant speed. At what speed was she walking? Show your reasoning.

Answer:

(D) 85 cm².

Step-by-step explanation:

To find the area of a triangle, we can use the formula:

Area = (1/2) x base x height

In this case, we are given the lengths of three sides of the triangle, but we need to find the height. One way to do this is to use Heron's formula to calculate the area directly, but another approach is to use the Pythagorean theorem to find the height.

We can see that the side lengths of the triangle are 17 cm, 10 cm, and 9 cm. Let's assume that the side of length 17 cm is the base of the triangle. Then, we can draw an altitude from the vertex opposite the base to the base, creating two right triangles. The height of the triangle is the length of this altitude.

Using the Pythagorean theorem in one of the right triangles, we can solve for the height as follows:

(Height)^2 = (10 cm)^2 - (4.5 cm)^2

Height = sqrt[(10 cm)^2 - (4.5 cm)^2]

Height = sqrt[100 cm^2 - 20.25 cm^2]

Height = sqrt(79.75) cm

Height ≈ 8.93 cm

Now that we have the base and height of the triangle, we can use the formula for the area of a triangle:

Area = (1/2) x base x height

Area = (1/2) x 17 cm x 8.93 cm

Area ≈ 76.025 cm²

Therefore, the area of the triangle is approximately 76.025 cm². None of the answer choices match this result exactly, but the closest option is (D) 85 cm².

Answer:

A

Step-by-step explanation:

The formula of a triangle is Base x Height ÷ 2 = Area

10 x 9 = 90 sq cm

90 ÷ 2 = 45

So answer is A

Answer:

A. \(-\frac{1}{9}\)

Step-by-step explanation:

-(\(3^-^5\))(\(3^3\)) = \(-\frac{1}{9}\)

please let me know if I am wrong.

hope this helped.

Answer:

A

Step-by-step explanation:

\(-\left(3^{-5}\right)\left(3^3\right)\)

\(\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\)

\(3^{-5}\cdot \:3^3=3^{-5+3}\)

= \(-3^{-5}\cdot \:3^3\)

\(\mathrm{Add/Subtract\:the\:numbers:}\:-5+3=-2\)

\(=-3^{-2}\)

= \(\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\)

\(3^{-2}=\frac{1}{3^2}\)

= \(=-\frac{1}{3^2}\)

\(3^2=9\)

= \(=-\frac{1}{9}\)

Answer:  5%

Work Shown:

15/300 = 0.05 = 5%

Answer:

5%

Step-by-step explanation:

15/300minutes is her break

we can simplify that to 1/20 which is 5/100 so it is 5%

Answer:

The customer ratings for the fidget toy sold by the online store can be represented using a frequency table. The table displays the frequency or count of each rating category, ranging from 1 star to 5 stars. Here's an example of how the frequency table might look:

Rating Frequency

1 star 10

2 stars 20

3 stars 30

4 stars 15

5 stars 25

In this example, the frequency table indicates that there were 10 customers who rated the fidget toy as 1 star, 20 customers who rated it as 2 stars, 30 customers who rated it as 3 stars, 15 customers who rated it as 4 stars, and 25 customers who rated it as 5 stars.

By organizing the ratings into a frequency table, it becomes easier to analyze the distribution of ratings and understand the overall customer satisfaction for the fidget toy.

Step-by-step explanation:

Answer:

The bottom right would be -6/2. The top right one would be 1/2. The bottom left one would be 3/3. Lastly, the top left would be 6/2

Step-by-step explanation:

Hope this helps. Not 100% sure. I am about 75% sure. Good luck. :)

Answer:

Clyde needs 2/3 cup more.

Step-by-step explanation:

The equation can be:

C = 2 - 2( 1   1/3 )

If Clyde is doubling the recipe, he will need 2 2/3 cups of flour. 2 2/3 minus 2 (the amount he has) will give you your answer.

Answer:

36.04%

Step-by-step explanation:

173 x 100 = 17300

17300/480

= 36.04%

Answer:

1. 33% of toys will be defective this day

2. Approximately 2,286 people is the towns population

3. Approximately 35 home runs were hit by the Dodgers in 2014

4. Mr. Hollins budget is $5000

5. Eddie has read about 36% of the book

6. 300 grams of carbohydrates are recommended per day

Answer:

10

Step-by-step explanation:

Use PEMDAS to rewrite the equation as:

m - (2 * n) + 2 =

16 - (2 * 4) + 2 =

16 - 8 + 2 =

10

Answer:

When m = 16 and n = 4, m - 2 * n + 2 = 10.

Step-by-step explanation:

m - 2 * n + 2

Substitute values given

m = 16

n = 4

16 - 2 * 4 + 2

Multiply -2 and 4.

16 - 8 + 2

Subtract 8 from 16.

8 + 2

Add 8 and 2.

10.

If the original expression had parenthesis, please let me know as this answer would need to be edited.

Answer:

Hope this helps :)

Thanks for answering my questions :D

Step-by-step explanation:

Answer:

Top choice

Step-by-step explanation:

Values are:

55, 109, 127, 100, 74, 66, 150, 113, 88

From least to greatest:

55, 66, 74, 88, 100, 109, 113, 127, 150

Median: 100

Lower quartile:

55, 66, 74, 88, 100

74

Answer:

Step-by-step explanation:Situation A: The hang glider descended 33.57 feet and again ascended 14.98. So 33.57 - 14.98 = 18.58. So now the hang glider is at 18.58 feet

Situation B: Initially they gained 7 2/5 yards and then lost 3/5 yards.

7 2/5 yards can be written as 37/5. As they lost 3/5 yards, 37/5 - 3/5 = 34/5. So the remaining yards are 34/5 yards.

Situation C: Hiker walked 3 1/6 miles and then 2 1/2 miles. So the total distance is 3 1/6 + 2 1/2 = 5 4/6 miles.

Situation D: Total amount earned is $23.66 + $15.84 = $39.5.

Answer:

Step-by-step explanation:Situation A: The hang glider descended 33.57 feet and again ascended 14.98. So 33.57 - 14.98 = 18.58. So now the hang glider is at 18.58 feet

Situation B: Initially they gained 7 2/5 yards and then lost 3/5 yards.

7 2/5 yards can be written as 37/5. As they lost 3/5 yards, 37/5 - 3/5 = 34/5. So the remaining yards are 34/5 yards.

Situation C: Hiker walked 3 1/6 miles and then 2 1/2 miles. So the total distance is 3 1/6 + 2 1/2 = 5 4/6 miles.

Situation D: Total amount earned is $23.66 + $15.84 = $39.5.

Step-by-step explanation:

Answer:

To find the greatest number of stickers Cassie can place on a page that is 11 inches long and 8 inches wide without them overlapping, we need to use the same approach as before.

Firstly, we need to calculate the maximum number of stickers that can fit along the length of the page, which is now 11 inches. Since each sticker is 3 inches long, we can fit 3 stickers along the length (11 ÷ 3 = 3 with a remainder of 2).

Next, we can calculate the maximum number of stickers that can fit along the width of the page, which is still 8 inches. Since each sticker is 2 inches wide, we can fit 4 stickers along the width (8 ÷ 2 = 4).

To ensure that the stickers do not overlap, we can only use the full row of 3 stickers from the previous calculation. Therefore, we can place 3 stickers along the length and 4 stickers along the width, giving us a maximum of 12 stickers that Cassie can place on the page without them overlapping.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

First, find out how much stickers you can put on the long side:

12/3 = 4

Next, find out how much stickers you can put on the wide side:

8/2 = 4

Lastly, calculate them together:

4x4=16

So the answer is 16.

Answer:

probably 3 miles

Step-by-step explanation:

Answer:

Your answer is B

Step-by-step explanation:

it is B

I hope you have a great day

Answer:

162

Step-by-step explanation:

Answer: c:162

Step-by-step explanation: hope i helped

Answer:

The correct answer is C :)

Step-by-step explanation:

Hope this helps!

Answer:

3/8 kg

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

12/32=3/8 it is the simplest form

Answer:

c

Step-by-step explanation:

trust me bro

Answer:

its a and c

Step-by-step explanation:

Answer:

f(x) = 10(3)^x

Step-by-step explanation:

x = number of months

Every month the amount of money triples.

f(x) = 10(3)^x

Answer:

f(x)=10(3)^x

Step-by-step explanation:

you start with 10 you multiply that 3 each month and x is the number of months so say that your on month 3 your equation of that will look like

10(3)^3 cause we replace x with the month your on

Answer:

The individual income tax (or personal income tax) is a tax levied on the wages, salaries, dividends, interest, and other income a person earns throughout the year. The tax is generally imposed by the state in which the income is earned.

Step-by-step explanation:

Payroll tax refers to the taxes that are deducted from an employee's wages or salary by their employer.

We have to give that,

To define Payroll tax.

Now, Payroll tax refers to the taxes that are deducted from an employee's wages or salary by their employer.

These taxes are withheld to fund various government programs and services.

Payroll taxes typically include federal, state, and local income taxes, as well as Social Security and Medicare taxes.

The amount of payroll taxes deducted from an employee's paycheck depends on factors such as income level, tax brackets, and the tax rates set by the applicable government authorities.

These taxes are then remitted by the employer to the appropriate tax agencies on behalf of their employees.

They are specifically related to employment income and play a crucial role in funding important government initiatives and social programs.

Learn more on tax below;

brainly.com/question/26316390

#SPJ6

Answer:

The answer is 4 1/8

Step-by-step explanation:

Answer:

The answer would be:  6 1/72 <-- ( this is as low as it can get)

~hope this has answered your question correctly , have a gr8 day/night my friend!~

Step-by-step explanation: