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brilliants [131]
3 years ago
9

If the circle in the diagram revolves about the vertical dashed line, which type of geometrical shape will it generate?

Mathematics
1 answer:
photoshop1234 [79]3 years ago
3 0
I think the answer is a solid ring but im not 100% sure
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Select all of the choices that are equal to (-5) – (-12).
krek1111 [17]
The answer is 7 i’m pretty sure
4 0
2 years ago
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A lollipop has a radius of 15m. Determine the diameter, circumference, and area of the lollipop.
Leokris [45]
The answers are:

Diameter: 30m
Circumference: 94.24777960769379
Area: 706.8583470577 m<span>2

I hope this helps you. Good luck with your work!</span>
6 0
3 years ago
All vectors are in Rn. Check the true statements below:
Oduvanchick [21]

Answer:

A), B) and D) are true

Step-by-step explanation:

A) We can prove it as follows:

Proy_{cv}y=\frac{(y\cdot cv)}{||cv||^2}cv=\frac{c(y\cdot v)}{c^2||v||^2}cv=\frac{(y\cdot v)}{||v||^2}v=Proy_{v}y

B) When you compute the product Ax, the i-th component is the matrix of the i-th column of A with x, denote this by Ai x. Then, we have that ||Ax||=\sqrt{(A_1 x)^2+\cdots (A_n x)^2}. Now, the colums of A are orthonormal so we have that (Ai x)^2=x_i^2. Then ||Ax||=\sqrt{(x_1)^2+\cdots (x_n)^2}=||x||.

C) Consider S=\{(0,2),(2,0)\}\subseteq \mathbb{R}^2. This set is orthogonal because (0,2)\cdot(2,0)=0(2)+2(0)=0, but S is not orthonormal because the norm of (0,2) is 2≠1.

D) Let A be an orthogonal matrix in \mathbb{R}^n. Then the columns of A form an orthonormal set. We have that A^{-1}=A^t. To see this, note than the component b_{ij} of the product A^t A is the dot product of the i-th row of A^t and the jth row of A. But the i-th row of A^t is equal to the i-th column of A. If i≠j, this product is equal to 0 (orthogonality) and if i=j this product is equal to 1 (the columns are unit vectors), then A^t A=I    

E) Consider S={e_1,0}. S is orthogonal but is not linearly independent, because 0∈S.

In fact, every orthogonal set in R^n without zero vectors is linearly independent. Take a orthogonal set \{u_1,u_2\cdots u_p\} and suppose that there are coefficients a_i such that a_1u_1+a_2u_2\cdots a_nu_n=0. For any i, take the dot product with u_i in both sides of the equation. All product are zero except u_i·u_i=||u_i||. Then a_i||u_i||=0 then a_i=0.  

5 0
3 years ago
WHOEVER ANSWERS FIRST WITH A SERIOUS QUESTION WILL GET BRAINLIEST
shusha [124]

Answer: See Explanation

Step-by-step explanation:

Take the amount of money and divide by the ounces for how much it costs per ounce

1.35 / 12 = 0.1125 per ounce

2.10 / 20 = 0.105 per ounce

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The Big Swig would be the best deal because the cost per ounce is the lowest, getting you the cheaper price for a good size. I believe I did this right, hope I could help.

6 0
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josh's web site had 805,289 visitors. Diego's site had 784,976 visitors. How many more visitors did josh's sit have than Diego's
Trava [24]
Josh's sit had 20,313 more visitors than Diego's.

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2 years ago
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