MATHEMATICS HIGH SCHOOL

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Answers

Answer 1

Answer: 5/4 x 4/3 x 3/5
= 1cm

The answer is 1cm

Hope this helps!

Answer 2

Answer:

Answer:

0.6

Step-by-step explanation:

multiply all of the numbers

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The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of the total surface area to the lateral (curved) surface area of the cylinder?

Answers

Let r represent the radius of cylinder.

We have been given that the height of a right circular cylinder is 1.5 times the radius of the base. So the height of the cylinder would be $1.5r$ .

We will use lateral surface area of pyramid to solve our given problem.

$LSA=2\pi r h$ , where,

LSA = Lateral surface area of pyramid,

r = Radius,

h = height.

Upon substituting our given values in above formula, we will get:

$LSA=2\pi r\cdot (1.5)r$

Now we will find the total surface area of cylinder.

$TSA=2\pi r(r+h)$

$TSA=2\pi r(r+1.5r)$

$TSA=2\pi r(2.5r)$

$(TSA)/(LSA)=(2\pi r(2.5r))/(2\pi r(1.5r))$

$(TSA)/(LSA)=(2.5r)/(1.5r)$

$(TSA)/(LSA)=(25)/(15)$

$(TSA)/(LSA)=(5)/(3)$

Therefore, the ratio of total surface area to lateral surface area is $5:3$ .

Express the fractions one half 3/16 and 7/8 with the lowest common denominator

Answers

one half would be 8/16, 7/8 would be 14/16, and 3/16 would stay as 3/16. 16 is the common denominator between all of the fractions.

How do you find the fisrt quartile

Answers

The first quartile (Q1) is defined as the middle number between the smallest number and the median of the data set. The second quartile is the median of the data. The third quartile (Q3) is the middle value between the median and the highest value of the data set.

Answer:

Find the median of the first half of the data

Step-by-step explanation:

Given the following scenario, decide if it is a permutation or combination. Then calculate the number of possibilities. (Please write Permutation/Combination ; answer)A committee must choose 4 finalists from 15 candidates. How many ways can the committee choose the four finalists.

Answers

The right answer for the question that is being asked and shown above is that:

There are...
15 * 14 * 13 * 12 ways in order to know the four finalists.
This is equal to 32,760 ways i n order to know the four finalists.

Select the equation of the line that passes through the point (5, 7) and is perpendicular to the line x = 4.y = 4
x = 5
y = 7
x = 7

Answers

Answer:

y = 7

Step-by-step explanation:

x=4 is a vertical line that goes through the point x=4. y value of this graph changes while x value will be 4 at every point of the graph.

A line perpendicular to this will be a horizontal line with a fixed y value and the x value will change.

The coordinates of the point of which the line has to pass is given as (5,7). Which means the y coordinate of this line is 7.

As we have established that this line has to have same y value at each point just like x=4 has same x value at each point, we can say the equation of the line is y=7.

Solution:

Equation of line perpendicular to , x=4 is

y +k=0

As, keep in mind , the equation of line perpendicular to , ax + by +c=0 is b x - a y +c=0

As, given the line perpendicular to, x =4, passes through the point (5,7).

So, y+k =0, passes through (5,7).

→ 7 +k=0

→ k= -7

So, line perpendicular to x=4, which passes through the point (5,7) is →y-7=0 that is y=7.

Option (C) →y=7

What does the line y=3x-7 look like?