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-Dominant- [34]
3 years ago
5

Sally travels to work each day. she travels 12 km east from home to main road. sally then travels 9 km north on the main road to

work. if the council was to put a direct road from sally's house to work, how much shorter would her journey be?
a. 6 km
b. 7.94 km
c. 11.06 km
d. 15 km
Mathematics
1 answer:
marshall27 [118]3 years ago
7 0
This way Sally travels 12+9=21 kilometers.
If there was a direct way she could go to work, that way would have been 15 km (because her way to work forms a right-angled triangle).
Therefore her journey would be 21-15=6 km shorter. Choice A.
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tatiyna

If the face is a square, then (l*l)

If the face is a triangle, then (b*h)(1/2)

If the face is a rectangle, then (l*w)

If the face is a circle, then (r²)(3.14)

You can then add all these faces up to get the total surface area of the prism.

3 0
3 years ago
How to simplify 4x^-3<br><br><br><br> Is the answer 1/4a^3 ?
Rudik [331]
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4 0
3 years ago
What are the coordinates of the vertices of the triangle under the translation (x y) (x − 1 y − 3)
Vsevolod [243]

Answer:

A: (-9,-3)(-2,-4)(-5,-8)

B: (-5,2)(-1,-3)(3,2)

C: (4,-7)(-1,-3)(4,1)

D: (-1,-11)(-2,-4)(-6,-7)

Step-by-step explanation:

So of the transformations, translations are pretty much the easiest.  x-1 just means move all coordinates left 1 and y-3 means move all coordinates down 3.  So for the first one the x coordinate gets 1 subtracted from it and the y value gets 3 subtracted from it.

(-8,0) => (-8-1, 0-3) = (-9,-3)

I do recommend double checking though, for practice and in case I flubbed a calculation.  

7 0
3 years ago
Yves bought 420 tropical fish for a museum display. He bought 6 times as many parrotfish as angelfish. How many of each type of
Bond [772]
Given:
420 tropical fishes
angel fish = x
parrot fish = 6x

x + y = 420
y = 6x          Choice D.

x + y = 420
y = 6x 

x + 6x = 420 
7x = 420 
x = 420 / 7
x = 60 number of angelfish

y = 6x
y = 6(60)
y = 360 number of parrot fish

7 0
3 years ago
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spayn [35]

Answer:

4)

Step-by-step explanation:

Because they just added the same equality. And when you move the -7 over the equal sign it makes it positive so it would be p^2 + 5 + 7 = 8p and that makes it p^2 + 12 = 8p

6 0
2 years ago
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