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3 years ago

Write a number less than 2.3 and greater than 2.07

Mathematics

2 answers:

marishachu [46]3 years ago

6 0

A number less than 2.3 and greater than 2.07 would be anything in between, for example 2.2

vladimir2022 [97]3 years ago

3 0

2.2 is less than 2.3 and bigger than 2.07

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Find the central angle of a sector of a circle of the area of the sector and the area of the circle are in the proportion of 3:5

abruzzese [7]

Answer:

$\theta = 216$

Step-by-step explanation:

Given

Area of Sector : Area of Circle = 3 : 5

Required

Determine the central angle

The question implies that

$\frac{Area_{sector}}{Area_{circle}} = \frac{3}{5}$

Multiply both sides by 5

$5 * \frac{Area_{sector}}{Area_{circle}} = \frac{3}{5} * 5$

$5 * \frac{Area_{sector}}{Area_{circle}} = 3$

Multiply both sides by Area{circle}

$5 * \frac{Area_{sector}}{Area_{circle}} * Area_{circle} = 3 * Area_{circle}$

$5 * {Area_{sector} = 3 * Area_{circle}$

Substitute the areas of sector and circle with their respective formulas;

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

$Area_{circle} = \pi r^2$

So, we have

$5 * \frac{\theta}{360} * \pi r^2 = 3 * \pi r^2$

Divide both sides by $\pi r^2$

$5 * \frac{\theta}{360} * \frac{ \pi r^2}{\pi r^2} = 3 * \frac{\pi r^2}{\pi r^2}$

$5 * \frac{\theta}{360} = 3$

Multiply both sides by 360

$360 * 5 * \frac{\theta}{360} = 3 * 360$

$5 * \theta = 3 * 360$

Divide both sides by 5

$\frac{5 * \theta}{5} = \frac{3 * 360}{5}$

$\theta = \frac{3 * 360}{5}$

$\theta = \frac{1080}{5}$

$\theta = 216$

Hence, the central angle is 216 degrees

3 0

3 years ago

Can you help me i dont understand U_U

LuckyWell [14K]

Answer:

$7.76

Step-by-step explanation:

So you can express the price in the slope-intercept form: y=mx+b where m is the slope, but in this context it's the price per km, and b is the y-intercept, but in this context it's the base price (how much it costs even if the length is 0 km)

So it gives you the slope of $0.22 per km. so you now have the equation

y = 0.22x + b

To find the base amount or y-intercept, you can take some of the given points, the price will be y, and the length will be x.

I'll use the point (6, 4.68)

Plugging these values into the equation you get:

4.68 = 0.22(6) + b

multiply

$4.68 = 1.32 + b$

subtract 1.32 from both sides

$3.36 = b$

So now we have the full equation:

y = 0.22x + 3.36

Now to find the price if the length is 20km, simply plug in 20 as x

y = 0.22(20) + 3.36

Multiply

y = 4.4 + 3.36

Add

y=7.76

6 0

2 years ago

A spinner with eight equal sections numbered 1 through 8 is to be spun once. what is the probability that the arrow will stop on

Korvikt [17]

Answer:

5/8 chance

Step-by-step explanation:

Numbers: 1,2,3,4,5,6,7&8

Even numbers:2,4,6,8 (4/8 chance)

Number that is 7: 7 (1/8 chance)

And = ×

Or = +

7 OR an eve number

1/8 + 4/8

5/8 chance

4 0

4 years ago

Choose the multiples of 5. 10 .32.35.40 and 81

ololo11 [35]

10, 35 & 40 are all multiples of five

3 0

3 years ago

Read 2 more answers

What is the value of the expression below (81^2) ^1/2

denis-greek [22]

Answer:81

Step-by-step explanation:

(81^2)^(1/2)=81^(2x1/2)

81^(2/2)

81^1=81

6 0

4 years ago