Answer:
a. y + 9 + x + y + x + 4 + x + 5 = 2x + 2y + 18
b. 30.4cm
c. Area of big rectangle = 9y cm², Area of small rectangle = 4x cm²
d. a = 9y + 4x
e. a = 38.8
Step-by-step explanation:
a. Perimeter = y + 9 + x + y + x + 4 + x + 5
= x + x + y + y + 9 + 4 + 5
= 2x + 2y + 18
b. 2x + 2y + 18 = 2(3.4) + 2(2.8) + 18
= 6.8 + 5.6 + 18
= 30.4cm
c. Formula for area of rectangle: length × breadth
Area of big rectangle = 9 × y
= 9y cm²
Area of small rectangle = 4 × x
= 4x cm²
d. a cm² = (9y + 4x)cm²
e. a = 9y + 4x
= 9(2.8) + 4(3.4)
= 25.2 + 13.6
= 38.8
For #4, for any right triangle a^2 + b^2 should equal c^2. Square roots are just numbers to a power of 1/2. You can multiply the exponents together of #^(2 * 1/2) and simply get #. With that in mind, we can use sqrt2 as our a, sqrt3 as b, and sqrt5 as c, since c is always the largest number. For A, sqrt2 squared is 2, for B, sqrt3 squared is 3, and c is 5. Since 2+3 does indeed equal 5 you have a right triangle.
For #5, dilating by 3 means our length will be three times as long as whatever it is there. To find out how long the line is, we can make a right triangle. The differences between the x values are 6, and the differences between the y values are 12. A^2 + b^2 = c^2, 144 + 36 = 180, c= sqrt180, which is approx. 13.416. Multiply that by 3 and you get ≈40.25 as K’L’.
Answer:
1:35
Step-by-step explanation:
Multiply 12633 by 0.027. This gives you the elevation which is about 341 feet. 0.027 is 2.7% in decimal form.
Answer:
4x-10.02
Step-by-step explanation:
subtract 7 from -3.02
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