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PolarNik [594]
2 years ago
12

Given the m∠5 = 45°, find the measure of ∠8.

Mathematics
2 answers:
oee [108]2 years ago
8 0

Comment after u have seen my answer

Serjik [45]2 years ago
6 0

Answer:

If would be more helpful if ther was sometime of picture

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Write the point-slope form of the equation of the line passing through the points (-5, 6) and (0, 1).
andrey2020 [161]
Formula of the slope of a linear function:


m = (y₂ - y₁)/(x₂ - x₁)

m= (-1 - 6)/[0- (-5)]

m= -7/5 This is the slope requested
7 0
3 years ago
What is the radius of the base of the cylinder 42in and 36 in
Usimov [2.4K]
Need additional information, which is the height and which is the diameter of the cylinder from the measurements supplied?  Standard forumula for locating Radius and Volume of a cylinder are as follows.

Radius=Diameter/2
rad=dia/2

Volume=Base X height
V=B*h

Base= 3.14*r*r
 
8 0
3 years ago
Plz help I only got until 5:00 today
katen-ka-za [31]

The correct answer is -9/22.

6 0
3 years ago
Susie is making fruit baskets for her school fundraiser she has 28 bananas and 21 apples what are the most food baskets that you
kondaur [170]
7 is the most

Hope this helped :)
7 0
3 years ago
Use lagrange multipliers to find the point on the plane x â 2y + 3z = 6 that is closest to the point (0, 2, 4).
Arisa [49]
The distance between a point (x,y,z) on the given plane and the point (0, 2, 4) is

\sqrt{f(x,y,z)}=\sqrt{x^2+(y-2)^2+(z-4)^2}

but since \sqrt{f(x,y,z)} and f(x,y,z) share critical points, we can instead consider the problem of optimizing f(x,y,z) subject to x-2y+3z=6.

The Lagrangian is

L(x,y,z,\lambda)=x^2+(y-2)^2+(z-4)^2+\lambda(x-2y+3z-6)

with partial derivatives (set equal to 0)

L_x=2x+\lambda=0\implies x=-\dfrac\lambda2
L_y=2(y-2)-2\lambda=0\implies y=2+\lambda
L_z=2(z-4)+3\lambda=0\implies z=4-\dfrac{3\lambda}2
L_\lambda=x-2y+3z-6=0\implies x-2y+3z=6

Solve for \lambda:

x-2y+3z=-\dfrac\lambda2-2(2+\lambda)+3\left(4-\dfrac{3\lambda}2\right)=6
\implies2=7\lambda\implies\lambda=\dfrac27

which gives the critical point

x=-\dfrac17,y=\dfrac{16}7,z=\dfrac{25}7

We can confirm that this is a minimum by checking the Hessian matrix of f(x,y,z):

\mathbf H(x,y,z)=\begin{bmatrix}f_{xx}&f_{xy}&f_{xz}\\f_{yx}&f_{yy}&f_{yz}\\f_{zx}&f_{zy}&f_{zz}\end{bmatrix}=\begin{bmatrix}2&0&0\\0&2&0\\0&0&2\end{bmatrix}

\mathbf H is positive definite (we see its determinant and the determinants of its leading principal minors are positive), which indicates that there is a minimum at this critical point.

At this point, we get a distance from (0, 2, 4) of

\sqrt{f\left(-\dfrac17,\dfrac{16}7,\dfrac{25}7\right)}=\sqrt{\dfrac27}
8 0
3 years ago
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