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Mariana [72]
3 years ago
13

Which of the following statements is true? A. A tangent is never a secant. B. A secant is always a chord. C. A chord is always a

radius. D. A diameter is never a chord.
Mathematics
1 answer:
kvasek [131]3 years ago
3 0
The answer to this is B.
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C it’s korrect now 123456
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2 years ago
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7.
Iteru [2.4K]

Answer:

a. 45 π

b. 12 π

c. 16 π

Step-by-step explanation:

a.

If a 3×5 rectangle is revolved about one of its sides of length 5 to create a solid of revolution, we can see a cilinder with:

Radius: 3

Height: 5

Then the volume of the cylinder is:

V=π*r^{2} *h= π*(3)^{2} *(5) = π*(9)*(5)=45 π

b. If a 3-4-5 right triangle is revolved about a leg of length 4 to create a solid of revolution. We can see a cone with:

Radius: 3

Height: 4

Then the volume of the cone is:

V=(1/3)*π*r^{2} *h= (1/3)*π*(3)^{2} *(4) = (1/3)*π*(9)*(4)=12 π

c. We can answer this item using the past (b. item) and solving for the other leg revolution (3):

Then we will have:

Radius: 4

Height: 3

Then the volume of the cone is:

V=(1/3)*π*r^{2} *h= (1/3)*π*(4)^{2} *(3) = (1/3)*π*(16)*(3)=16 π

7 0
3 years ago
4(2a+P)=c+p+a<br> express a in terms of c and p
ExtremeBDS [4]

Answer:

\frac{c-3p}{7}

Step-by-step explanation:

   1) 4(2a+p)=c+p+a

   2) Expand: 8a+4p=c+p+a

   3) subract a and 4p: 7a=c-3p

   4) Divide: a=\frac{c-3p}{7}

3 0
2 years ago
Function to inverse function f(x) =2x/3-17
ZanzabumX [31]

Answer:

Inverse function is f^{-1}(x)=\frac{3}{2}x+\frac{51}{2}.

Step-by-step explanation:

Given function is f\left(x\right)=\frac{2}{3}x-17.

Now we need to find the inverse of the given function.

Step 1: replace f(x) with y

y=\frac{2}{3}x-17

Step 2: switch x and y

x=\frac{2}{3}y-17

Step 3: solve for y

x=\frac{2}{3}y-17

x+17=\frac{2}{3}y

\frac{3}{2}(x+17)=y

\frac{3}{2}x+\frac{51}{2}=y

Hence required inverse function is f^{-1}(x)=\frac{3}{2}x+\frac{51}{2}.

3 0
3 years ago
There are 36 tables and 7 booths in the family restaurant. Each table seats 4 people. If the restaurant can seat up to 179 peopl
Butoxors [25]

Answer:

5 people.

Step-by-step explanation:

First we need to find how many people 36 tables seats. In order to do this, we need to multiply 36 (tables) by 4 (people sitting) to get 144. Now just subtract 144 from 179 to see how many people are left, here we get 35. Since there are 7 booths, we divide 35 by 7 to get 5. Each booth holds 5 people.

(179-36x4)/7=5

4 0
3 years ago
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