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3 years ago

Sam walked 48 yard south to school and 55 yard east to get to his friends house

Mathematics

1 answer:

Ainat [17]3 years ago

5 0

Answer:

then what?

48 yards= 144 feet

55 yards= 165 feet

so he walked 309 feet in total???

can you rephrase the question?? i don't get it

Step-by-step explanation:

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2. Draw the image of RST under the dilation with scale factor 2/3 and center of dilation (1,-1). Label the image RST .

professor190 [17]

Answer:

From the graph: we have the coordinates of RST i.e,

R = (2,1) , S = (2,-2) , T = (-1,-2)

Also, it is given the scale factor $\frac{2}{3}$ and center of dilation C (1,-1)

The mapping rule for the center of dilation applied for the triangle as shown below:

$(x, y) \rightarrow (\frac{2}{3}(x-1)+1, \frac{2}{3}(y+1)-1)$

$(x, y) \rightarrow (\frac{2}{3}x -\frac{2}{3}+1 , \frac{2}{3}y+\frac{2}{3}-1)$

$(x, y) \rightarrow (\frac{2}{3}x+\frac{1}{3} , \frac{2}{3}y-\frac{1}{3} )$

Now,

for R = (2,1)

the image R' = $(\frac{2}{3}(2)+\frac{1}{3} , \frac{2}{3}(1)-\frac{1}{3} )$ or

$(\frac{4}{3}+\frac{1}{3} , \frac{2}{3}-\frac{1}{3} )$

⇒ R' = $(\frac{5}{3} , \frac{1}{3})$

For S = (2, -2) ,

the image S'= $(\frac{2}{3}(2)+\frac{1}{3} , \frac{2}{3}(-2)-\frac{1}{3} )$ or

$(\frac{4}{3}+\frac{1}{3} , \frac{-4}{3}-\frac{1}{3} )$

⇒ S' = $(\frac{5}{3} , -\frac{5}{3})$

and For T = (-1, -2)

The image T' = $(\frac{2}{3}(-1)+\frac{1}{3} , \frac{2}{3}(-2)-\frac{1}{3} )$ or

$(\frac{-2}{3}+\frac{1}{3} , \frac{-4}{3}-\frac{1}{3} )$

⇒ T' = $(\frac{-1}{3} , \frac{-5}{3})$

Now, label the image of RST on the graph as shown below in the attachment:

5 0

3 years ago

Is the measure of In the diagram below , overline XY and are tangent to A. 90 B. 180 C. 100 D. 130

valkas [14]

Answer:

C can i have brainlest pls

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

I need help on this question plz and thank you (Question 5 and if you can number 3 as well)

Alex Ar [27]

H = -2r + s/πr

C = 3A-a-b

If you need step by step comment

7 0

3 years ago

A bread recipe calls for 5 1/2 cups of white flour and 1 1/4 cups of rye flour. How much more of white flour than rye flour is n

stiks02 [169]

white= 22/4

rye= 11/4

22-11=11

11/4= 2 3/4 more cups of white flour then rye

6 0

4 years ago

Read 2 more answers

A certain region currently has wind farms capable of generating a total of 2500 megawatts (2.5 gigawatts) of power. Complete p

marishachu [46]

Answer:

The correct answer is A. 7,665'000,000 kilowatt-hours per year and B. 766,500 households.

Step-by-step explanation:

1. Let's review the information provided to us for solving the questions:

Power capacity of the wind farms = 2,500 Megawatts or 2.5 Gigawatts

2. Let's resolve the questions a and b:

Part A

Assuming wind farms typically generate 35% of their capacity, how much energy, in kilowatt-hours, can the region's wind farms generate in one year?

2,500 * 0.35 = 875 Megawatts

875 Megawatts = 875 * 1,000 Kilowatts = 875,000 Kilowatts

Now we calculate the amount of Kilowatts per hour, per day and per year:

875.000 Kw generated by the farms means that are capable of produce 875,000 kw per hour of energy

875,000 * 24 = 21'000,000 kilowatt-hours per day

21'000,000 * 365 = 7,665'000,000 kilowatt-hours per year

Part B

Given that the average household in the region uses about 10,000 kilowatt-hours of energy each year, how many households can be powered by these wind farms?

For calculating the amount of households we divide the total amount of energy the wind farms can generate (7,665'000,000 kilowatt-hours) and we divide it by the average household consumption (10,000 kilowatt-hours)

Amount of households = 7,665'000,000/10,000 = 766,500

4 0

3 years ago