3 years ago

Solve the following inequalities a) algebraically AND b) graphically.

Mathematics

1 answer:

STALIN [3.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

2x-x-5

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The radius of a circle is 4 feet. What is the area of a sector bounded by a 45° arc?

DIA [1.3K]

Answer:

$Area = 6.28\ ft^2$ or $Area = 2 \pi\ ft^2$

Step-by-step explanation:

Given

$Radius, r = 4ft$

$Angle, \theta = 45$

Required

Calculate the area of the sector

When angle is given in degrees, the area of sector is calculated as thus;

$Area = \frac{\theta}{360} * \pi * r^2$

$Substitute\ r = 4\ and\ \theta = 45$

$Area = \frac{\theta}{360} * \pi * r^2$ becomes

$Area = \frac{45}{360} * \pi * 4^2$

$Area = \frac{45}{360} * \pi * 16$

$Area = \frac{45*16}{360} * \pi$

$Area = \frac{720}{360} * \pi$

$Area = 2 * \pi$

$Area = 2 \pi\ ft^2$

The above is the area in terms of π

Solving further.... (Take π as 3.14)

$Area = 2 \pi\ ft^2$ becomes

$Area = 2 * 3.14\ ft^2$

$Area = 6.28\ ft^2$

Hence, the area of the sector is

$Area = 6.28\ ft^2$ or $Area = 2 \pi\ ft^2$

8 0

3 years ago

You have 16 digs for your current volleyball season. There are 3 games left in the season. You want to break your previous recor

natulia [17]

Answer: 16+d>20

d>4

Step-by-step explanation:

d=digs

16+d>20

16-16+d>20-16

d>4

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1 year ago

At a rate of 4.25% over 24 months. If he pays $51.00 in interest, what was the original amount of his loan?

Alexxandr [17]

I = PRT.....rearrange.....P = I / RT

P = 51 / (0.0425* 2).....I used 2 because 24 months = 2 yrs
P = 51 / 0.085
P = 600 <===

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3 years ago

Number Frequency 1,400 3 1,450 7 1,500 7 1,550 5 1,600 4 1,650 2 1,700 1 What is the mode?

poizon [28]

Mode is the number that shows up the most

in this case, it is 71,500 which shows up twice, one more than any of the other numbers

hope this helps

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3 years ago

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You are drawing two cards, without replacement, from a standard deck of 52 cards. What is the

Ket [755]

24% is the probity sorry just need points

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3 years ago