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Tems11 [23]
3 years ago
11

Please help me find the angle

Mathematics
2 answers:
Mnenie [13.5K]3 years ago
6 0

Answer: 101°

Step-by-step explanation:

∠FBC=∠IFG=46°           (Corresponding angles)

Now,

∠IFG+∠I=∠FGC         (E.A.P)

46°+55°=∠FGC

∴101°=∠FGC

34kurt3 years ago
3 0

Answer:

79 degrees

Step-by-step explanation:

This is because <CBF is equivalent to <GFI

So, we know two angles in that triangle; 55 and 46.

By adding these together we get 101. In a triangle, the angles all add up to 180.

So we must subtract 101 from 180 and we will have that remaining angle.

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In order to figure this question out, you will need to divide 367 into 3. 367/3 is 122.333... You can round it, so your answer will be 123 boxes.
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Scrat [10]

Volume of 1/4 gal

= Volume of 2/3 bin


Volume(x gal)

= Volume( 1 bin)


So, (1/4)/(2/3)

= x/1


(1/4)/(2/3)

= x



(1/4)/(3/2)

x = 3/8 (Total balance required to fill the entire bin)




In order to fill the bin, the additional gallons need to be added to the initial 1/4 gallon



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7 0
2 years ago
253 - 17 X3<br> 85 + 52 - 36
julia-pushkina [17]

Answer:

253-17*3 = 253-51 = 202

Step-by-step explanation:

85+52-36 = 147-36 = 111

4 0
3 years ago
Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of
Law Incorporation [45]

Answer:

Step-by-step explanation:

To solve this problem, we will use the following two theorems/definitions:

- Given a vector field F of the form (P(x,y,z),Q(x,y,z),W(x,y,z)) then the divergence of F denoted by \nabla \cdot F = \frac{\partial P}{\partial x}+\frac{\partial Q}{\partial y}}+\frac{\partial W}{\partial z}

- (Gauss' theorem)Given a closed surface S, the following applies

\int_{S} F\cdot \vec{n} dS = \int_{V} \nabla \cdot F dV

where n is the normal vector pointing outward of the surface and V is the volume bounded by the surface S.

Let us, in our case, calculate the divergence of the given field. We have that

\nabla \cdot F = \frac{\partial}{\partial x}(x)+\frac{\partial}{\partial y}(2y)+ \frac{\partial}{\partial z}(5z) = 1+2+5 = 8

Hence, by the Gauss theorem we have that

\int_{S} F\cdot \vec{n} dS = \int_{V} 8 dV = 8\cdot\text{Volume of V}

So, we must calculate the volume V bounded by the cube S.

We know that the vertices are located on the given points. We must determine the lenght of the side of the cube. To do so, we will take two vertices that are on the some side and whose coordinates differ in only one coordinate. Then, we will calculate the distance between the vertices and that is the lenght of the side.

Take the vertices (1,1,1) and (1,1-1). The distance between them is given by

\sqrt[]{(1-1)^2+(1-1)^2+(1-(-1)^2} = \sqrt[]{4} = 2.

Hence, the volume of V is 2\cdot 2 \cdot 2 = 8. Then, the final answer is

\int_{S} F\cdot \vec{n} dS =8\cdot 8 = 64

5 0
3 years ago
Which is the most resonable measure for the length of a bicycle
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Feet
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