Which steps should be followed to use a scale drawing and a new scale to find the new length of a soccer field? Add the numerator of the new scale to the old length to get the new length. Subtract the new length from the old length to find the difference in lengths. Write a proportion using the new scale as the first ratio. Set the first ratio equal to the ratio of the length of the original field compared to a variable that represents the new length of the field. Solve the proportion to find the new length of the field. Write a ratio comparing the scale drawing length to the actual length of the field, and simplify.

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general 11 months ago 6135

Which explanation justifies how the area of a sector of a circle is derived?Determine the percent of the sector of the circle divided by the degrees in a circle. Then find the number of triangles within a circle. Divide the two numbers and multiply by the area of the circle.The sector of a circle is a fractional part of the circle. Determine the fraction of the circle that the sector represents. Multiply this fraction by the area of the entire circle.The sector of a circle represents a part of a whole circle. Determine how many sections of the sectors will fit in the circle. Multiply this number by 180 and then multiply it by the area of the circle.Find how many sector pieces fit in a circle. Divide this number by the total degrees in a circle. Then multiply the quotient by the diameter of the circle.

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general 11 months ago 9172

Can someone help fast? I will give 20 points. Thx 1. The Empire State Building in New York CIty is 1,454 feet tall. A model of the building is 24 inches tall. What is the ratio of the height of the model to the height of the actual Empire state Building? A) 727:12 B) 727:1 C: 12/727 D) 1:727 Are the polygons similar? If they are, write a similarity statement and give the scale factor. The figure is not drawn to scale. A) JKML ~ PSRQ; 8:1.5 B) JKML ~ PQRS; 8:4.8 C) JKML ~ PQRS; 2.5:4.8 D) The polygons are not similar. 3. What similarity statement can you write relating the three triangles in the diagram? A) GHF ~ GIH ~ HIF B) HIF ~ GIH ~ GFH C) GFH ~ GHI ~ HIF D) GHF ~ IGH ~ HIF 4. What are the values of x and y? A) x=9/4, y=3/4 B) x=9/4, y=15/4 C) x=15/4, y=5/4 D) x=3/4, y=15/4 5. What is the value of x to the nearest tenth? The figure is not drawn to scale. A) x=15.7 B) x=4.4 C) x=13.9 D) x=1.9 6. Are the two triangles similar? How do you know? A) No B) Yes; by AA ~ C) Yes; by SAS ~ D) Yes; by SSS ~ 7. What is the geometric mean of 6 and 13? A) 2_/13 B) 2_/26 C) _/78 D) 78 8. A salsa recipue uses green pepper, onion, and tomato in the extended ratio 3:7:11. How many cups of green pepper are needed to make 189 cups of salsa? A) 9 B) 27 C) 63 D) 99 9. What is the length of the altitude drawn to the hypotenuse? The figure is not drawn to scale. A) 24 B) _/24 C) 143 D) _/143 10. What is the solution to the proportion? 6/11 = m/121 A) 66 B) 11 C) 1/66 D) 1 11. What is the value of x, given PQ || BC? A) 10 B) 5 C) 7 D) 8

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general 11 months ago 7014

Raj made this argument: The Triangle Inequality Theorem states that if the lengths of three sides of a triangle are a, b, and c, then a + b > c. For this reason, since a, b, and c are all positive numbers, the square of a + b must be greater than the square of c. However, for a right triangle, the Pythagorean Theorem states that if the lengths of the legs are a and b, and if the length of the hypotenuse is c, then a2 + b2 = c2, not a2 + b2 > c2. Therefore, since the Pythagorean Theorem is known to be correct, and since right triangles should adhere to the Triangle Inequality Theorem, the Triangle Inequality Theorem must be incorrect. What is wrong with Raj’s argument?A) The square of a + b is not equal to a2 + b2. B) One cannot assume that a, b, and c are all positive numbers. C) It’s not true that right triangles should adhere to the Triangle Inequality Theorem. D) It’s not true that according to the Triangle Inequality Theorem, a + b > c.

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general 11 months ago 2392