MATHEMATICS HIGH SCHOOL

Find the area of each sector.
*Geometry

Answers

Answer 1

Answer:

The area of the sector in the diagram is 1805π/8 km².

What is area?

Area is the region bounded by a plane shape.

To calculate the area of the sector, we use the formula below

Formula:

A = πr²∅/360......................... Equation 1

Where:

A = Area of the sector
r = Radius of the sector
∅ = Angle of the sector

From the question,

Given:

r = 19 km
∅ = 225°

Substitute these values into equation 1

A = π×19²×225/360
A = 1805π/8 km²

Hence, the right option is B. 1805π/8 km²

Learn more about area here: brainly.com/question/25092270

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Solve for x: 4 − (x + 2) < −3(x + 4)

Answers

4 - (x+2) < -3(x+4)

4 -1(x) -1(2) < -3(x) -3(4)
4 - x - 2 < -3x -12
+3x +3x
2 + 2x < -12
-2 -2
2x < -14
÷2 ÷2
x < -7

assume that x = -8

4 - (-8 + 2) < -3(-8 + 4)
4 - (-6) < -3(-4)
4 + 6 < 12
10 < 12 the inequality is true.

The circle graph represents a total of 600 people's opinions about their favorite genre of movie. How many people prefer romantic comedies?75
90
105
120

Answers

Your answer should be 90
Your welcome ;)

Answer:

Step-by-step explanation:

The answer is 90

there are only 7 days left until the launch of our new product and we only have 668.00 left in our promotion budget .we need to spend 85.00 on the last day .can you please calculate how many dollars a day we can spend on the remaining days?

Answers

In total, you have $668.00.
To reserve enough for the last day, you need to subtract the last day's budget:
$668.00-85.00=583.00$
This means that, for the remaining 6 days in the week, you have $583.00.
Assuming an equal amount is being spent each day, you can calculate the daily budget by dividing the remaining total by the number of days left.
$(583)/(6) =97.16$
To avoid going over budget, you can spend $97.16 per day for the other six days.

Hope this helps!

668-85=583
583/6=97.1666
He can spend 97.16 on the remaining days.

Suppose y = 48 + 3(2n - 1) is an explicit representation of an arithmetic sequence for integer values n ≥ 1. Find the xth partial sum of the series, as a quadratic function, where x represents the term number.

Answers

Answer: 3x2 + 51x

Step-by-step explanation:

$a_n=48+3(2n-1)$

The formula of the sum of the arithmetic sequence:
$S_n=(a_1+a__n)/(2)\cdot n$
calculate:
$a_1=48+3(2\cdot1-1)=48+3=51$
substitute
$S_n=(51+48+3(2n-1))/(2)\cdot n=(99+6n-3)/(2)\cdot n=(96+6n)/(2)\cdot n=3n^2+48n$
Your answer is:
$\boxed{f(x)=3x^2+48x}$

How do i find the slope

Answers

Start at (0,4)

Then go down 3 and to the right 1 to arrive at (1,1)

The motion "down 3" means rise = -3

The "right 1" means run = 1

Therefore, slope = rise/run = -3/1 = -3

Answer: Slope = -3

The radius of the Earth is approximately 3,960 miles. Find the approximate surface-area-to-volume ratio of the Earth.

Answers

The surface area of a sphere is A = 4π R²

The volume of a sphere is V = (4/3) ( π) (R³)

The ratio of (surface area) to (volume) is

      4 π R² / (4/3) (π) (R³)

Divide top and bottom by 4π :    R² / (1/3) (R³)

Multiply top and bottom by 3: 3 R² / R³

Divide top and bottom by R² :    3 / R .

For the Earth,

   A / V = (3) / (3,960 miles) = 0.00076 per mile (rounded)

Answer:

B. 0.00076

Step-by-step explanation:

Unit test on e2020

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Every week Sarah collects a few pounds of cans to recycle. The graph below shows the total number of pounds of cans (y) that Sarah collected in a certain amount of time (x), in weeks: A graph titled Can Recycling is shown with labels in x axis and y axis as Number of Weeks and Amount of Cans Collected in pounds, respectively. The values on the x axis are from 0 to 5 at increments of 1, and the values on the y axis are from 0 to 100 with increments of 20. Dots are made at 0, 20 and 1, 40 and 2, 60 and 3, 80 and 4, 100. A straight line joins the ordered pairs 0, 20 and 4,100. What would most likely be the total amount of cans, in pounds, Sarah would collect in 10 weeks? 200 220 320 420