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Sloan [31]
2 years ago
13

The round base of a copper tea kettle has a diameter of 18 centimeters. What is the base's circumference?

Mathematics
1 answer:
iris [78.8K]2 years ago
7 0

Answer:

Step-by-step explanation:

circumference = π×diameter = 18π cm

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Find the volume of the prism
hichkok12 [17]

Answer:

do you have an image for that?

Step-by-step explanation:

4 0
3 years ago
point T"(-2,5) is a vertex of triangle T"O"P". The original image was rotated 90° counterclockwise around the origin and rhen tr
emmainna [20.7K]

ANSWER

T(-2,1)

EXPLANATION

Let T(a,b) be the coordinates.

When this point is rotated 90° counterclockwise about the origin,

Then,

T(a,b)\to \: T'( - b,a)

If this point is then translated using the rule;

(x,y)\to (x-1,y+7)

then,

T(a,b)\to \: T'( - b,a) \to T"( - b - 1,a + 7)

It was given that, T"(-2,5)

This implies that,

-b-1=-2

-b=-2+1

-b=-1

b=1

a+7=5

a=5-7

a=-2

Therefore the coordinates of T are:

(-2,1)

4 0
3 years ago
Read 2 more answers
Write the equation of the line that passes through the points (3, 6) and (5, 18) using function notation.
V125BC [204]
D. y = 6x - 12 is the answer
6 0
3 years ago
Read 2 more answers
24. A pair of shoes with a regular price of $90 is on sale for 30% off. Miguel has a coupon for an additional 5% off the
DochEvi [55]
The answer is b , 90•.35= 31.5 90-31.50 = 58.50
7 0
3 years ago
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by about how much will f(x,y,z) = In root x^2 +y^2 +z^2 change if the point P(x, y, z) moves from P0(2,2,6) a distance of ds = .
konstantin123 [22]

Answer:

\frac{1}{44} \approx0.0227\hspace{3}units

Step-by-step explanation:

In order to find the answer we need to calculate the directional derivative:

D_uf(x,y,z)=\nabla f\bullet u

\nabla f =The\hspace{3}gradient\hspace{3}of\hspace{3}f\\u=Unit\hspace{3}vector

The gradient of f is:

\nabla f(x,y,z)=\langle\frac{x}{x^2+y^2+z^2}, \frac{y}{x^2+y^2+z^2},\frac{z}{x^2+y^2+z^2}\rangle

The unit vector can be found as:

u=\frac{v}{|v|} =\frac{3i+6j-2k}{\sqrt{3^2+6^2+(-2^2)} } =\langle\frac{3}{7} ,\frac{6}{7}, \frac{-2}{7} \rangle

The directional derivative at the point is:

D_uf(2,2,6)=\langle\frac{1}{22}, \frac{1}{22} ,\frac{3}{22} \rangle \bullet \langle \frac{3}{7} ,\frac{6}{7} ,\frac{-2}{7} \rangle =\frac{5}{22} \bullet \langle \frac{3}{7} ,\frac{6}{7} ,\frac{-2}{7} \rangle =\frac{5}{22}

Finally, the problem tell us that the point moves a distance of 0.1 units. Hence f(x,y,z) will move:

\frac{5}{22} * 0.1=\frac{1}{44}\approx 0.0227\hspace{3}units

6 0
3 years ago
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