Given: In the given figure, there are two equilateral triangles having side 50 yards each and two sectors of radius (r) = 50 yards each with the sector angle θ = 120°
To Find: The length of the park's boundary to the nearest yard.
Calculation:
The length of the park's boundary (P) = 2× side of equilateral triangle + 2 × length of the arc
or, (P) = 2× 50 yards + 2× (2πr) ( θ ÷360°)
or, (P) = 2× 50 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)
or, (P) = 100 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)
or, (P) = 100 yards + 209.33 yards
or, (P) = 309.33 yards ≈309 yards
Hence, the option D:309 yards is the correct option.
Before dilation:
the height of the triangle is h₁ = 7 - (-1) = 8
the width of the triangle is w₁ = 7 - (-5) = 12
After dilation:
the height of the is h₂ = 9-7 = 2
the width of the triangle is w₂ = -5 - (-8) = 3
The scale factor is h₂/h₁ = 2/8 = 1/4 = 0.25
Also, the scale factor is w₂/w₁ = 3/12 = 1/4 = 0.25
Answer: The scale factor is 0.25
Answer:
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Step-by-step explanation:
Answer:
-10
Step-by-step explanation:
the upper right is the same (105°), therefore the left 75°
now you have 180 = 75 + x + 115
therefore: -10
Answer:
Valarie make
of fruit drink.
Step-by-step explanation:
Given:
Valarie made fruit drinks for a birthday party.
She used 3/6 of a cup of grape juice, 5/6 of a cup of strawberry juice, and 2/6 cup of soda. She mixes all the juices together.
Now, to find cups of fruit drink Valarie make.
As given that she mixes all juices altogether.
So, to get the cups of fruit drink we add all quantities of juice:
3/6 cup of grape juice + 5/6 cup of strawberry juice + 2/6 cup of soda.



<em>Dividing numerator and denominator by 2 we get:</em>

Therefore, Valarie make
of fruit drink .