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atroni
5 days ago
11

Kelsey's school can be represented by Point A(9,9). Point A can be translated 6 units left and 5 units down to create 'A', the l

ocation of Kelsey's house. Which of the following can be used to find the d, the diagonal distance between Point A and Point A' on the grid
Mathematics
1 answer:
PIT_PIT [9.1K]5 days ago
6 0
4,3.
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Marlo uses 252 lb of gravel to cover a garden plot of 36 ft2. How many pounds of gravel does it take to cover one square foot? H
babunello [8402]

The amount of gravel and the area it covers are examples of ratios.

A weight of 7 lb can cover 1 square foot, while 315 lb can cover an area of 45 square feet.

The relevant parameters are:

252\ lb= 36ft^2

To find the number of pounds needed for 1 square foot , perform the following calculation:

x = 1ft^2

Thus, we have:

x = 1ft^2

252\ lb= 36ft^2

Cross multiply

x \times 36 = 252 \times 1

And divide both sides by 36

x = 7lb

The area that 315 lb of gravel can cover is calculated as follows:

So, we have:

315lb = y

315lb = y

Cross multiply

252\ lb= 36ft^2

y \times 252 = 36 \times 315

And divide both sides by 252

y \times 252 = 11340

Thus, 7 lb will cover

1 square footy = 45, and 315 lb will encompass an area of

45 square feet.

Read more about ratios at:

6 0
1 day ago
The waiting time, in hours, between successive speeders spotted by a radar unit is a continuous ran- dom variable with a cumulat
zzz [9066]

Answer: 0.5507

Step-by-step explanation:

Given: The time between sightings of speeders by a radar system is represented by the continuous random variable X, which follows a cumulative distribution function

F(x)= \begin{cases}0,& x

If we convert 12 minutes into hours, it equals \dfrac{12}{60} hours or 0.2 hours.

To find the probability of waiting less than 12 minutes:

P(X

Thus, the probability we are looking for is: 0.5507

4 0
1 month ago
The city planning committee wants one tree planted every 20 ft along Dayton Ave. if the perimeter of the plot of land is 234 ft
lawyer [9226]

Answer: It’s two trees

Step-by-step explanation:

Given that the city plants a tree every 20 feet along Dayton Avenue, we first need to establish the length of the side that faces Dayton Avenue.

We currently have three sides unaccounted for. However, it’s crucial to note that the side next to Dayton Avenue has the same length as the two unaccounted sides combined. This equivalence holds because both lengths include the 1 feather and 2 feather markers, confirming congruence.

Thus, the sum of both side lengths will be 234-52-68=114.

Consequently, the side next to Dayton Avenue measures

114\div2=57 feet.

Having determined that this side is 57 feet long, we divide this length by 20 to find the tree planting intervals. Since the planting occurs only in complete 20-foot segments, if the division results in a decimal, we must round down. A tree is only planted if complete segments of 20 feet are reached.

57\div20=2.85

This rounding process gives us 2.

I hope this clarifies!

3 0
1 month ago
Read 2 more answers
Write the definition of a right angle in BICONDITIONAL form.*
Zina [9157]

Answer:

A biconditional statement integrates a conditional statement alongside its converse in an if and only if format. Two line segments are congruent if and only if their lengths are identical... A biconditional is deemed true only when both conditional statements are true. there??

Step-by-step explanation:

5 0
5 days ago
Julia can finish a 20-mile bike ride in 1.2 hours. Katie can finish the same bike ride in 1.6 hours. How much faster does Julia
Svet_ta [9486]

Given that,speed = \frac{distance}{time}

Julia completes a 20-mile bike ride in 1.2 hours.

The distance Julia covers is 20 miles and her time taken is 1.2 hours.

Therefore, Julia's speed = \frac{20}{1.2} = 16.67 mph


Katie finishes the same 20-mile ride in 1.6 hours.

Katie’s distance is 20 miles and her time is 1.6 hours.

Hence, Katie's speed = \frac{20}{1.6} = 12.5 mph


To determine how much faster Julia rides compared to Katie, subtract Katie’s speed from Julia’s speed.

Thus, 16.67 mph minus 12.5 mph equals 4.17 mph, approximately 4.2 mph.

Consequently, Julia cycles 4.2 mph faster than Katie.

5 0
1 month ago
Read 2 more answers
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