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2 years ago

A circle has a circumference of 50.24 feet. What is the radius? Use 3.14

Mathematics

1 answer:

Umnica [9.8K]2 years ago

3 0

Answer:

r≈8ft

Step-by-step explanation:

C=2πr

r=C

2π=50.24

2·π≈7.99594ft

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Alia has swimming class every fourth day and diving class every sixth day. If she had swimming class and diving class on 5 june,

dolphi86 [110]

Answer:

June 17

Step-by-step explanation:

the least common multiple of 4 and 6 is 12. Add 12 to June 5 and you get June 17

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3 years ago

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BaLLatris [955]

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Step-by-step explanation:

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2 years ago

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3 years ago

Given that P = (-7, 16) and Q = (-8, 7), find the component form and magnitude of vector QP .

Katyanochek1 [597]

Answer:

a)The component form is

$\vec {QP}=\binom{ - 1}{ - 8}$

b)The magnitude is √65

c) <2,14>

Step-by-step explanation:

Recall that:

$\vec {QP}=\vec {OP}-\vec{OQ}$

We substitute the position vectors to get:

$\vec {QP}=\binom{ - 8}{7} - \binom { - 7}{15}$

We subtract the corresponding components to obtain:

$\vec {QP}=\binom{ - 8 - - 7}{7 - 15}$

This gives:

$\vec {QP}=\binom{ - 8 + 7}{7 - 15}$

This simplifies to:

$\vec {QP}=\binom{ - 1}{ - 8}$

The magnitude of a vector in the component form:

$\binom{x}{y}$

$\sqrt{ {x}^{2} + {y}^{2} }$

This means:

$|\vec {QP}|= \sqrt{ {( - 1)}^{2} + {( - 8)}^{2} }$

This simplifies to:

$|\vec {QP}| = \sqrt{ 1 + 64 }$

$|\vec {QP}| = \sqrt{ 65 }$

c) We have the vectors u = <4, 8>, v = <-2, 6>.

We want to find:

u+v

This implies that:

u+v=<4,8>+<-2,6>

We add the corresponding components to get;

u+v=<4+-2,8+6>

This simplifies to:

u+v=<2,14>

7 0

3 years ago

A research analyst for a car rental agency found that the probability distribution function for the age of the rental car (in ye

alexdok [17]

Answer:

10 years

Step-by-step explanation:

Given

Decline from (0,h) to (10,0)

See attachment for graph

Required

Determine the age when height = 0

The function of the graph is represented as: (age, height)

So, we need to read from the graph the corresponding value of age (on the x-axis) when height = 0 (i.e. the y-axis)

From the attached graph;

$age = 10$ when $height = 0$

<em>Hence, the age of the car is 10 years</em>

4 0

2 years ago