Answer:
Sin of x does not change
Step-by-step explanation:
Whenever a triangle is dilated, the angle remains the same as well as the ratio for sides of triangle. For smshapes with dimensions, when shapes are dilated the dimensions has increment with common factor.
From trigonometry,
Sin(x)=opposite/hypotenose
Where x=4/5
Sin(4/5)= opposite/hypotenose
But we were given the scale factor of 2 which means the dilation is to two times big.
Then we have
Sin(x)=(2×opposite)/(2×hypotenose)
Then,if we divide by 2 the numerator and denominator we still have
Sin(x)=opposite/hypotenose
Which means the two in numerator and denominator is cancelled out.
Then we still have the same sin of x. as sin(4/5)
Hence,Sin of x does not change
Answer:
D) 136 sq. in.
Step-by-step explanation:
8x14=112
2x4x3=24
112+24=136
Answer:
Right triangles:
5) 0.75, 1, 1.25
6) 18, 80,82
Not right triangles:
1) 5,5,√50
2) 6.5, 3.2, 7.8
3) √2, √3, 4
4) 12, 13, 20
Step-by-step explanation:
Right triangles: (for right triangles the Pythagorean theorem is true)
6) 18² + 80² = 82²
6724=6724
5) 0.75² + 1² = 1.25²
1.5625 =1.5625
Not right triangles:
1) 5² + 5² ≠(√50)²
1250≠ 50
2) 6.5² + 3.2² ≠ 7.8²
52.49≠60.84
3) (√2)² +(√3)² ≠ 4²
5≠ 16
4) 12² + 13² ≠ 20²
313 ≠ 400
Answer:
Step-by-step explanation:
Pumpkins are good for more than just jack-o’-lanterns: you can decorate with them, carve them, eat them, or plant the seeds so you have free pumpkins next year. You can find pumpkins for sale at farmers markets, pumpkin patches, and national chain retailers like Costco, Kroger, and Walmart. Farmers markets and pumpkin patches tend to price their pumpkins by the pound, charging around $16 to $25 for large pumpkins. Chain stores charge a per-pumpkin price, which is usually around $3 for small, decorative pumpkins and $5 to $10 for carving pumpkins. Below, we list the various uses for pumpkins, the places that sell pumpkins, and the average pumpkin prices.
