180 m
Step-by-step explanation:
Information given:
- length of Mrs. Flores' garden= 20 m
- width of Mrs. Flores' garden = 15 m
- Scale factor = 3
Since scale factor is 3, to get measurements of sides Mr. Sosa's garden, sides of Mrs. Flores's have to be multiplied by 3. Hence,
- length of Mr. Sosa's garden= 3×20= 60 m
- width of Mr. Sosa's garden= 3×15= 45 m
Diagonal of a rectangle = √length²+width²
Let Diagonal = D,
D= √60²+45²
=√3600+2025
=√5625
=75 m
If Mr. Sosa cut his garden diagonally,
perimeter= length+width+diagonal
=60+45+75=180 m
Answer: sqrt(2)/2 which is choice D
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Explanation
(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).
The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle
180-135 = 45
Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2
sine is positive in quadrant 2
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Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2
Recall that y = sin(theta).
Answer:
159.68
Step-by-step explanation:
68% of 499 is 339.32
499 -339.32=159.68
hope this helps
Answer:
a. Given a number of tablespoons, find the number of cups:
1. Since he needs 2 cups, he can use 2×16=32 tablespoons.
2.Since he needs 1/2 cup, he can use 1/2×16=8 tablespoons.
He needs 1 1/4 cups. 1 cup is 16 tablespoons. 1/4 cup is 1/4×16=4 tablespoons. So altogether he needs 16+4=20 tablespoons.Given a number of cups, find the number of tablespoons:
I already found that 20 tablespoons is 1 1/4 cups. So for 28 tablespoons I need an additional 8 tablespoons, or an additional 1/2 cup. 1 1/4+1/2=1 3/4, so 28 tablespoons gets him 1 3/4 cups. (Alternatively, we might say that 1 tablespoon is 1/16 cups. 1/16×28=28/16, which we can rewrite as 1 12/16 or 1 3/4.)
I notice that to convert from tablespoons to cups, I always divide by 16. 6÷16=6/16, which we can write as 1 3/8. (Alternatively, 1 tablespoon is 1/16 cups. 1/16×6=6/16, which we can rewrite as 1 3/8.)
Step-by-step explanation:
