9514 1404 393
Answer:
24 m
Step-by-step explanation:
The area formula tells us ...
22 = xy . . . . . square meters
Adding twice this to the quadratic constraint gives ...
(x^2 +y^2) +2(xy) = (100) +2(22)
(x +y)^2 = 144
x +y = √144 = 12
The perimeter is double this amount, so is ...
P = 2(x +y) = 2(12) = 24 . . . . meters
Answer:4.4
Step-by-step explanation:
The tenths place is the first number after the decimal which is the number 3 the hunderds place will tell you if your going to round up if the number is above 5 the tens goes up one so since the next number is 9 so the 3 becomes a 4.
Answer:
d. 944 mm^3
Step-by-step explanation:
The area of a circle is given by ...
A = πr² . . . . . where r is the radius, half the diameter
The area of a circle with diameter 9 mm is ...
A = π(4.5 mm)² = 20.25π mm²
The area of the semi-circular end of the prism is half this value, or ...
semicircle area = (1/2)(20.25π mm²) = 10.125π mm² ≈ 31.809 mm²
__
The area of the rectangular portion of the end of the prism is the product of its width and height:
A = wh = (9 mm)(6 mm) = 54 mm²
Then the base area of the prism is ...
base area = rectangle area + semicircle area
= (54 mm²) +(31.809 mm²) = 85.809 mm²
__
This base area multiplied by the 11 mm length of the prism gives its volume:
V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³
The volume of the composite figure is about 944 mm³.
Answer:
-4u+2v = <-6, 34>
Step-by-step explanation:
u = <4, -7) → -4u = <-16, 28>
v = <5, 3> → 2v = <10, 6>
-4u+2v = <-16, 28> + <10, 6> = <-6, 34>
Answer:
<h2><em><u>n</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>7</u></em></h2>
Step-by-step explanation:
4(n-1)+2 = -23 +7n
=> 4n - 4 + 2 = - 23 + 7n
=> 23 - 4 + 2 = 7n - 4n
=> 21 = 3n

=> <em><u>n</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>7</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>