Mathematics High School

What is the total surface area of this prism?

Answers

Answer 1

Answer:

Step-by-step explanation:

let us calculate area of pentagon.

it consists of 5 isosceles triangles with base=5 cm

apothem h=3.6 cm

area of pentagon=5×1/2×5×3.6≈45 cm

area of 2 pentagons (top and bottom)=2×45=90 cm²

lateral area of 6 rectangles=2(10×5+10×5+10×5)=2(50+50+50)=300 cm²

Total surface area=90+300=390 cm²

Related Questions

HELP!
Consider the below equation:

0.5x-7= sqrt(-5x+29)

Give 2 different ways to show that the equation does not have any solutions. One way must be solving algebraically, and the other way must be by graphing.

Answers

Answer:

The answer to this question can be described as follows:

Step-by-step explanation:

Given equation:

[tex]\bold{0.5x-7= \sqrt{(-5x+29)}}[/tex]

As in the given question the two ways to solve the equation can be defined as follows:

First way:

Let square the above-given equation then we will get:

[tex]\to (0.5x-7)^2= (\sqrt{(-5x+29)})^2\\\\\to (0.5x)^2 +7^2-2\times 0.5x\times 7= -5x+29\\\\\to 0.25x^2 +49- 7x= -5x+29\\\\\to 0.25x^2 - 7x+5x +49-29=0\\\\\to 0.25x^2 - 2x+20=0\\\\[/tex]

The calculated equation doesn't have any like term that's why it can't be factorised.

Second way:

after calculating the equation that is [tex]0.25x^2-2x+20=0[/tex], it graph is given in attachment please find.

y = –5x + 30 x = 10 What is the solution to the system of equations? (–20, 10) (10, –20) (10, 4) (4, 10)

Answers

Answer:

(10, - 20 )

Step-by-step explanation:

Given the 2 equations

y = - 5x + 30 → (1)

x = 10 → (2)

Since the value of x is given substitute x = 10 into (1) for y

y = - 5(10) + 30 = - 50 + 30 = - 20

Solution is (10, - 20 )

Answer:

(10, -20)

Step-by-step explanation:

y = –5x + 30

x = 10

------

x=10 ⇒ y= -5*10+30= -20

Then solution is (10, -20)

Consider this right triangle with the given measures.

Answers

Wouldn’t the answer be 84.5 all I did was where you square it I divided

Answer:

Step-by-step explanation:

We were already given the formula and were left with [tex]169 = c^2[/tex].

To find c we would find what by itself equals 169.

We know [tex]12 * 12[/tex] is 144

so its greater than 12

we also know that 13 * 13 is 169

so c would be equal to 169

A 2 column table with 7 rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2, 3. The second column, f(x) has the entries, 3, 3, 3, 3, 3, 3. A 2 column table with 7 rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2, 3. The second column, g(x) has the entries, 4, 3, 2, 1, 0, negative 1. The tables given are for the linear functions f(x) and g(x). What is the input value for which f(x) = g(x) is true? x =

Answers

The input value for which f(x) = g(x) is true is -1

The formula for calculating the equation of a line is expressed as:

[tex]y=mx+b[/tex]

m is the slope

b is the y-intercept

For table 1,

Get the slope:

[tex]Slope=\frac{3-3}{3-2}\\Slope =\frac{0}{1} \\Slope =0[/tex]

Use the coordinate (-2, 3) and m = 0 to get the value of "b"

[tex]y=mx+b\\3 = 0(-2) + b\\b = 3[/tex]

The required function for table 1 is f(x) = 3

For table 2:

Get the slope:

[tex]Slope=\frac{0-1}{3-2}\\Slope =\frac{-1}{1} \\Slope =-1[/tex]

Use the coordinate (-2, 4) and m = -1 to get the value of "b"

[tex]y=mx+b\\4 = -1(-2) + b\\b = 4-2\\b=2[/tex]

The required function for table 2 is g(x) = -x + 2

If the function f(x) = g(x), hence:

-x + 2 = 3

-x = 3 - 2

-x = 1

x = -1

Hence the input value for which f(x) = g(x) is true is -1

Learn more here: https://brainly.com/question/16097244

Answer: -1

Step-by-step explanation:

After school, Marcus ran 3.2km and Cindy ran 1.95km. Who ran farther ? How much father?

Answers

Answer:

Marcus; 1.25 km

Step-by-step explanation:

Marcus ran farther than Cindy because 3.2 km is greater than 1.95 km.

How much farther is:

3.2 - 1.95 = 1.25 km

He ran 1.25 km farther than Cindy.

Marcus ran farther than Cindy Marcus ran farther by 1.25 km

The person who ran further is the person who ran more kilometers.

The person who ran more kilometers is Marcus which means that Marcus ran farther.

The distance he ran farther by is:

= Distance Marcus ran - Distance Cindy ran

= 3.2 - 1.95

= 1.25 km

In conclusion, Marcus ran farther by 1.25 km.

Find out more at https://brainly.com/question/15655130.

You come home from Brian’s Orchard with a big brown bag of apples: 23 Granny Smiths, 14 Honey Crisp and 31 Red Delicious. What is the probability you reach in and pull out: a. one of each? b. 4 Honey Crisps c. 2 G. Smiths & 1 R. Delicious Please help I am really confused and my teacher won’t respond to my email

Answers

Answer:

a. Probability of Pulling one of each = 0.03175

b. Probability of Pulling 4 Honey Crisp = 0.001797

Probability of 2 G.Smith = 0.1144

Probability of 1 Red Delicious = 0.4559

Step-by-step explanation:

Given

Granny Smiths = 23

Honey Crisp = 14

Red Delicious = 31

Required

- Probability of Pulling out one of each

- Probability of Pulling out 4 Honey Crisp; 2 Granny Smiths; 1 Red Delicious

First, the total number of apple needs to be calculated.

Total = Granny Smiths + Honey Crisp + Red Delicious

Total = 23 + 14 + 31

Total = 68

Probability of Pulling 1 of each

= P(Granny Smiths) and P(Henry Ford) and P(Red Delicious)

- Granny Smiths;

This is calculated by dividing number of Granny Smiths apples by total number of apples.

Probability = 23/68

Similarly,

Probability of Pulling Honey Crisp= Number of Honey Crisp divided by total

Probability = 14/68

Probability = 7/34

Probability of Pulling Red Delicious = Number of Red Delicious divided by total

Probability = 31/68

So, Probability of Pulling 1 of each = 23/68 * 7/34 * 31/68

Probability = 4991/157216

Probability = 0.03175

Probability of Pulling out 4 Honey Crisp;

= P(Honey) * P(Honey) * P(Honey) * P(Honey)

= (P(Honey))⁴

= (7/34)⁴

= 2401/1336336

= 0.001797

Probability of Pulling 2 Granny Smiths;

= P(Granny) * P(Granny)

= (P(Granny))²

= (23/68)²

= 529/4624

= 0.1144

Probability of 1 Red Delicious

= number of red delicious divided by total

= 31/68

= 0.4559

Marlye posted a story on her blog. On the first day there were 80 responses and on the second day there were 180 responses. What percent is the increase 100 of the original number of responses

Answers

Answer:

125%

Step-by-step explanation:

Since we already know that there was an increase of 100 responses, we have to divide 100 by 80 and multiply by 100:

100/80 * 100

= 125%

There was a 125% increase in the number of responses.

Answer:

125%

Step-by-step explanation:

Edg. 2020

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer:

I think the awnser should be A

Katie loves to read! In the last few months she has read 3 graphic novels, 2 mysteries, 4 sci-fi novels, and 21comic books. What is the ratio of sci-fi novels to comic books?

Answers

Answer:

The answer is 4:21

Step-by-step explanation:

An airplane is 32,000 feet above the ground begins descending at a rate 2,500
feet
per minute. Write an equation to model the situation. *

Answers

Answer:

32000-2500x, let x equal number of minutes.

Step-by-step explanation:

Answer:

[tex]y=-2,500x+32,000[/tex]

Step-by-step explanation:

x is the rate of the elevation per minute, so -2,500 feet every minute. And 32,000 is the start elevation.

Mixed Review for Finding Slope
Calculate the slope of the line that contains the following points. Leave answers as fractions - BUT reduce
your fractions as much as possible!!!!!!! SHOW ALL WORK!!!
1) (4,5) and (-4,3)
2) (-2,-4) and (6,7)
3) (2, -4) and (10,12) 4) (1/2,2) and (1,2/3) 5) (1/4,5) and (5/4,12)

Answers

Answer:

1) slope of the line [tex]m = \frac{1}{4}[/tex]

2) slope of the line [tex]m = \frac{11}{8}[/tex]

3) slope of the line m =2

4) slope of the line [tex]m = \frac{-8}{3}[/tex]

5) slope of the line m =7

Step-by-step explanation:

Given points are (4,5) and (-4,3)

slope of the line Formula