Answer:
1114 foot
Step-by-step explanation:
Let the engineer is at a distance of x feet from the base of the building.
Please see the attached image.
In the triangle, we have
Solving the equation for x, we get
Thus, the engineer is 1114 foot from the base of the building.
Answer:
he last ratio is written incorrectly.
Mandy reversed the input and output in the numerator and denominator.
The correct ratio is 50/10.
The relationship is proportional.
Answer
Step-by-step explanation:
Answer:
Allentown(x) got 8 feet of snow and Georgetown(y) got 3 feet of snow
Step-by-step explanation:
Allentown got 2 feet less than twice the amount of snow Georgetown got . Allentown got 3 feet more snow than Georgetown.
Allentown = x and Georgetown=y
To solve this we need to represent this information mathematically;
'Allentown got 2 feet less than twice the amount of snow Georgetown got' can be written mathematically as; x = 2y - 2
and
'Allentown got 3 feet more snow than Georgetown' can be mathematically written as x = y + 3
x= 2y - 2 ----------------------(1)
x = y + 3 --------------------------(2)
Subtract equation (2) from equation (1)
[ x-x=0 2y-y = y -2-3=-5]
0 = y - 5
To get the value of y, add 5 to both-side of the equation
0+ 5 = y-5+5
5=y
y=5
Substitute y=5 into equation (2)
x = y+3
x=5+3
x=8
Therefore Allentown(x) got 8 feet of snow and Georgetown(y) got 3 feet of snow
x=2y-2
x=y+3
Substitute the second equation into the first
y+3=2y-2
solve for y
y=5
plug into original
x=y+3=5+3=8 or x=2(5)-2=8
Allentown got 8 ft of snow, Georgetown got 5 ft of snow.
288 m3
96 m3
32 m3
The volume of Box B is 864m^3, when the volume of box A is 32 cubic meters and the volume of box B is three times the volume of box A.
We have given that,
Box A has a volume of 32 cubic meters.
Box B is similar to box A.
To create Box B, Box A's dimensions were tripled.
We have to determine the volume of Box B.
Ratio is the analytical tool that helps in determining the proportion of one variable over the another. It helps in taking decisions such as business decisions, construction decision, and many more.
Computation:
ratio =side of B/side if k is the ratio =sideof B/side of A=3
The area is multiplied by:
k²=9Volume by k^3=27
Or
27*32=864 (m^3)
The volume of Box B is 864m^3, when the dimension of box B is triple the dimension of box A.
Therefore, option A. is correct.
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Answer:
A = (5+4) divided by 1/2 x 11 (h) = 49.5 in
Answer:38 inches
Step-by-step explanation:A=1/2 (base 1 + base 2) x height = area
Base 1 = 11 in
Base 2 = 8 in
Height = 4 inches
Area if trapezoid = 1/2 x 11 + 8 x 4 =!19 sum of bases
19x4(H) = 76
76/2=38 inches
Area of trapezoid = 38 inches
B- between 6 and 7
C- between 13 and 14
D- between 11 and 12
The square root of 124 is 11.1355 the rounded is between 11 and 12. The correct option is D.
The value of a number's power 1/2 is the number's square root. It is the number whose product by itself yields the original number, to put it another way.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The square root of 124 will be calculated as:-
√124 = 11.1355
Therefore, the square root of 124 is 11.1355 the rounded is between 11 and 12. The correct option is D.
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