which one of following statement expresses a true proportion 3:4=9:12 b. 2:1=1:2 c. 7:9=8:9 d. 54:9=6:3
Answers
a. 3:4=9:12
3×3:4×3=9:12
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Final answer:
To find EG, we equate EF to EG and solve for x. Substituting the value of x back into EG gives us a final answer of 22.5.
Explanation:
In the given question, F is the midpoint of EG. We are given that EF = 5x and EG = 7x + 5. To find the value of EG, we need to equate EF to EG and solve for x.
Given: EF = EG = 5x
Substituting the values, we get: 5x = 7x + 5
Simplifying the equation: 2x = 5
Dividing both sides by 2, we find: x = 2.5
Now, substituting the value of x back into EG, we get: EG = 7(2.5) + 5 = 17.5 + 5 = 22.5
Therefore, EG is equal to 22.5
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(2) =
F(2)=
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Answer:
16+5w/4
Step-by-step explanation:
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Answer:
a) (x + 2)(x + 8) ; b) (x + 4)(x + 3) ; c) (x + 12) (x + 1)
Step-by-step explanation:
Think about what would add to make the 'b' and multiply to make the 'c' using this equation: ax² + bx + c
a) (x + 2)(x + 8)
b) (x + 4)(x + 3)
c) (x + 12) (x + 1)
, and do not round your answer. Be sure to include the correct unit in your answer.
Answers
Area of circle= Pi x radius2 (this means radius squared)
Area of triangle= 1/2 x base x height
1/2 (because it is a semi circle) x 3.14 (in replacement of pi as directed by question) x 9squared= 127.17
127.17 - (1/2 x 18 x 9) = 46.17cmsquared
Final answer:
The area of the shaded region can be found by subtracting the area of the triangle from the area of the semicircle.
Explanation:
To find the area of the shaded region, we need to calculate the area of the semicircle and subtract the area of the triangle from it. First, let's find the area of the semicircle. The formula to find the area of a semicircle is A = (π * ) / 2, where π is approximately 3.14 and r is the radius. Plugging in the values, we have A = (3.14 *
) / 2 = 127.26 square cm.
Next, let's find the area of the triangle. The formula to find the area of a triangle is A = (base * height) / 2. In this case, the base of the triangle is the diameter of the semicircle, which is 2 * 9 = 18 cm. The height of the triangle is the radius of the semicircle, which is 9 cm. Plugging in the values, we have A = (18 * 9) / 2 = 81 square cm.
Finally, to find the area of the shaded region, we subtract the area of the triangle from the area of the semicircle: 127.26 - 81 = 46.26 square cm. So, the area of the shaded region is 46.26 square cm.
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