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2 years ago

How would I be able to answer this?

Mathematics

1 answer:

Ilya [14]2 years ago

5 0

Radius = Diameter ÷ 2 = 10 ÷ 2 = 5mm
<u>
Find Volume: </u>

Volume= πr²h

Volume = π (5)² (6) = 471.24mm³ (Nearest hundredth)

<u>Find Surface Area:</u>

Surface area = 2πr² + 2πrh

Surface area = 2π(5)² + 2π(5)(6) = 345.58 mm²

Answer: Volume = 471.24mm³ , Surface area = 345.58 mm²

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Simplify the expression 14 + 5(x+3)-7

Alenkasestr [34]

14 + 5(x+3)-7
14 + 5x +15 -7
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2 years ago

The average number of traffic tickets issued in a city on any given day

Anton [14]

Answer:

The most tickets were written on Saturday .On Saturday 325 tickets were issued

Step-by-step explanation:

The average number of traffic tickets issued in a city on any given day Sunday-Saturday can be approximated by

$T(x) = -6x^2 + 84x + 37$

Where x represents the number of days after Sunday

T(x) represents the number of traffic tickets issued.

Sunday = x=0

Monday = x=1

Tuesday = x=2

Wednesday = x=3

Thursday = x =4

Friday = x=5

Saturday = x=6

Substitute x= 0

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(0)^2 + 84(0) + 37\\T(x)=37$

On Sunday 37 tickets were issued

Substitute x= 1

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(1)^2 + 84(1) + 37\\T(x)=115$

On Monday 115 tickets were issued

Substitute x= 2

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(2)^2 + 84(2) + 37\\T(x)=181$

On Tuesday 181 tickets were issued

Substitute x= 3

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(3)^2 + 84(3) + 37\\T(x)=235$

On Wednesday 235 tickets were issued

Substitute x= 4

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(4)^2 + 84(4) + 37\\T(x)=277$

On Thursday 277 tickets were issued

Substitute x= 5

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(5)^2 + 84(5) + 37\\T(x)=307$

On Friday 307 tickets were issued

Substitute x= 6

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(6)^2 + 84(6) + 37\\T(x)=325$

On Saturday 325 tickets were issued

Hence the most tickets were written on Saturday .On Saturday 325 tickets were issued

6 0

2 years ago

Angle W and angle X are congruent. If their sum is 121 degrees, what is the measure of angle X?

____ [38]

Angle X = 60.5 degrees

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3 years ago

Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were all

Art [367]

Nathan has an infection and he needs to be treated with penicillin
But there’s a 75% probability of him being allergic to penicillin
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Event 1 and event 2 both should happen then. When the ‘and’ function is used in probabilities then the probabilities of both events happening should be multiplied
Therefore probability that Nathan has the allergy and test predicts it is
= 75% x 98% = 0.735
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