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2 years ago

Suppose the diameter of a circle is 16, What is its radius?

Mathematics

2 answers:

BartSMP [9]2 years ago

8 0

The radius is 8. Half of a diameter is the radius and the radius multiplied by 2 is the diameter.

Advocard [28]2 years ago

3 0

It would be 8 because it is half the diameter.

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Use the equation a = IaIâ

german

Answer:

a) $\:\:=\sqrt{14}\cdot \frac{\:\:}{\sqrt{14} }$

b) $\:\:=\sqrt{29} \cdot \frac{\:\:}{\sqrt{29} }$

c) $\:\:=7\cdot \frac{\:\:}{7}$

Step-by-step explanation:

a) Let a=<2,1,-3>

The magnitude of a is $|a|=\sqrt{2^2+1^2+(-3)^2}$

$|a|=\sqrt{4+1+9}=\sqrt{14}$

The unit vector in the direction of a is

$\hat{a}=\frac{\:\:}{\sqrt{14} }$

Using the relation $a=|a|\hat{a}$ , we have

$\:\:=\sqrt{14}\cdot \frac{\:\:}{\sqrt{14} }$

b) Let a=2i - 3j + 4k

$|a|=\sqrt{2^2+(-3)^2+4^2}$

$|a|=\sqrt{4+9+16}=\sqrt{29}$

$\hat{a}=\frac{\:\:}{\sqrt{29} }$

Using the relation $a=|a|\hat{a}$ , we have

$\:\:=\sqrt{29} \cdot \frac{\:\:}{\sqrt{29} }$

c) Let us first find the sum of <1, 2, -3> and <2, 4, 1> to get:

<1+2, 2+4, -3+1>=<3, 6, -2>

Let a=<3, 6, -2>

The magnitude is

$|a|=\sqrt{3^2+6^2+(-2)^2}$

$|a|=\sqrt{9+36+4}=\sqrt{49}=7$

The unit vector in the direction of a is

$\hat{a}=\frac{\:\:}{7}$

Using the relation $a=|a|\hat{a}$ , we have

$\:\:=7\cdot \frac{\:\:}{7}$

5 0

3 years ago

Find the length of PQ

PIT_PIT [208]

Answer:

C. About 8.6 Units

Step-by-step explanation:

Distance Formula

8 0

2 years ago

Streck If Michael paid $48 for 8 books, how much did he pay for 1 book?

DochEvi [55]

Answer:

Step-by-step explanation:

if you divide 48 by the 8 books you will get the answer for how much he spent on just one

3 0

2 years ago

If x varies inversely as y, and x = 7 when y=3, find y when x = 9.

RSB [31]

Step-by-step explanation:

x=k/y------(1)

k=xy

k= 7×3

k=21

from equation 1

x=k/y

y=k/x

y=21/9

y = 2.33

5 0

3 years ago

Read 2 more answers

8. If m = 4 and n = 4, then m = n

Lana71 [14]

If m=4 and n=4 then m=n

4=4
1=1

3 0

2 years ago