That should be B.<span>An equilateral triangle inscribed in a circle</span>
32 miles = 4 dollars per gallon.
32 * 5 = 160
160 miles on 20 dollars of gas.
Clockwise rotation 90 ° about origin
R_{90, clockwise, origin}(x,y) -> (y,-x)
J(-4,1) therefore
R_{90, clockwise, origin}J(-4,1) -> J'(1,+4)
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Answer:
2 bags of stone
Step-by-step explanation:
Lets do one at a time. Cement first.
he needs 180 kg of cement.
1 bag is 25 kg, so in total he needs 8 because 7 would get him 175, so he would need just a little bit more. And I assume you can't but part of a bag he needs to but one full more bag. If he already has 8 then he doesn't need any more.
Needs 375 kg of sand
Each bag has 22.5 kg inside
he needs 17 bags total of sand because 16 would only give 360
Since he already has 19 bags he has 427.5 kg of sand so he doesn't need any more.
Needs 1090 kg of stone
Each bag has 50 kg of stone
He needs 22 bags since 21 would just give him 1050 kg
He has 20 so he needs two more bags
So in total he needs two bags of stone. Let me know if there was anything you didn't understand.
Answer:
366.6 mm²
Step-by-step explanation:
Step 1: find XY using the Law of sines.
Thus,
m < W = 180 - (70+43) (sum of angles in a triangle)
W = 180 - 113 = 67°
WY = 24 mm
X = 43°
XY = ?
Cross multiply:
Divide both sides by 0.68 to solve for XY
XY ≈ 32.5 mm
Step 2: find the area using the formula, ½*XY*WY*sin(Y).
Area = ½*32.5*24*sin(70)
Area = ½*32.5*24*0.94
= 32.5*12*0.94
Area = 366.6 mm² (nearest tenth)
