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2 years ago

5

on a certain day the temperature in seattle was -1 and the temperature in houston was 18 how many degrees lower was the temperat

ure in seattle

1 answer:

Schach [20]2 years ago

8 0

The temperatur in settle was 18 - (-1) = 18 + 1 = 19 degrees lower

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Here are 15,000 students at college x. of those students, 1,700 are taking both ethics and metaphysics this semester. there are

tekilochka [14]

I think the answer is 1,600 totals students taking metaphysics

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2 years ago

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Evaluate ∫SF⃗ ⋅dA⃗ , where F⃗ =(bx/a)i⃗ +(ay/b)j⃗ and S is the elliptic cylinder oriented away from the z-axis, and given by x2/

Norma-Jean [14]

Answer:

Therefore surface integral is $\pi(a^2+b^2)c-0-0=\pi(a^2+b^2)c$ .

Step-by-step explanation:

Given function is,

$\vec{F}=\frac{bx}{a}\uvec{i}+\frac{ay}{b}\uvec{j}$

To find,

$\int\int_{S}\vec{F}dS$

where S=A=surfece of elliptic cylinder we have to apply Divergence theorem so that,

$\int\int_{S}\vec{F}dS$

$=\int\int\int_V\nabla.\vec{F}dV$

$=\int\int\int_V(\frac{b}{a}+\frac{a}{b})dV$

$=\frac{a^2+b^2}{ab}\int\int\int_VdV$

$=\frac{a^2+b^2}{ab}\times \textit{Volume of the elliptic cylinder}$

$=\frac{a^2+b^2}{ab}\times \pi ab\times 2c=\pi (a^2+b^2)c$

If unit vector $\cap{n}$ directed in positive (outward) direction then z=c and,

$\int\int_{S_1}\vex{F}.dS_1=\int\int_{S_1} . dA$

$=\int\int_{S_1}.dA=0$

If unit vector $\cap{n}$ directed in negative (inward) direction then z=-c and,

$\int\int_{S_2}\vex{F}.dS_2=\int\int_{S_2}. -dA$

$=\int\int_{S_2}. -dA=0$

Therefore surface integral without unit vector of the surface is,

$\pi(a^2+b^2)c-0-0=\pi(a^2+b^2)c$

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2 years ago

Given: ∠CBA ≅ ∠FBA; ∠CAB ≅ ∠FAB Prove: ΔBCA ΔBFA Complete the missing parts of the paragraph proof. Proof: We know that angle CB

saw5 [17]

Proof: We know that angle CBA is congruent to angle FBA and that angle CAB is congruent to angle FAB because the corresponding angles have the same measure in degrees (as evidenced in the given equation). We see that angle BCA is congruent to angle BFA by the reflexive property of congruence (More accurately Third Angle Theorem). Therefore, we can conclude that triangle BCA is congruent to triangle BFA because a pair of corresponding angles and the included side are equal, since the two triangles share a line segment (AB).

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2 years ago

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Titus is asked to prove hexagon FEDCBA is congruent to hexagon

Goshia [24]

Answer:

<u><em>(x, y) -------> ( - x , y - 10 )</em></u>

Step-by-step explanation:

Titus is not correct.

There are two transformations will correctly prove FEDCBA ≅ F'E'D'C'B'A'

First transformation is Reflection over y-axis , then translation 10 units down.

The final formula is <em>( - x , y - 10 )</em>

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2 years ago

Solve the system of equations.<br> - 5x + 2y = 9

Marina CMI [18]

Answer: -5x + 2y -9 = 0

Step-by-step explanation:

1. Move constant to the left and change its sign

2. Change the signs on both sides of the equation

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2 years ago