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The diagram below, not drawn to scale, shows a prism of length 30 cm. The . cross-section WXYZ is a square with area 144 cm”.

Calculate (i) the volume, in cm', of the prism ( 2 marks) (ii) the total surface area, in cm', of the prism. ( 4 marks)​

Ill Give BrainlyThe Diagram Below, Not Drawn To Scale, Shows A Prism Of Length 30 Cm. The . Cross-section

Answers

Answer 1

Answer: 1) 4320 cm^3

              2) 1728 cm^2

Step-by-step explanation:

1) V= 12 x 12 x 30 = 4320

2) S= 144 + 144 + 12 x 30 x 4 = 1728


Related Questions

Can someone help me do this

Answers

The 3 inside angles should add up to 180. The one next to the 130 is 50 degrees.

180 = 50 + (16x + 4) + (14x + 6)

180 = 30x + 60

120 = 30x

x = 4
x = 4

First, we can see that the top angle is 130°, that means the other side of the angle is 50° because that straight line must equal 180°.

Next, we know that the inside of a triangle must equal 180°. We know that one of the angle’s is 50°, that means we need to plug in the numbers and solve the other angles until the total of all three angles is 180°.

If we plug in 4 for x, this is what we get…
14(4) + 6 = 62°
16(4) + 4 = 68°

Now we know all three angles, but we can add to check…
50° + 62° + 68° = 180°

Therefore, x = 4!

The ratio of apples to oranges in a box is 2:6. There are 9 apples in the box. How many oranges are in the box?

Answers

Answer:

27 oranges

Step-by-step explanation:

Number of oranges are : 27

What is a ratio ?

The relation between two numbers which shows how much bigger one quantity is than other.

According to question ,

apples/ oranges = 2 / 6                           equation 1

now, substituting the number of apples in equation 1 , we get

9/oranges = 2/6

oranges = 9 * 6 / 2 = 27

number of oranges are 27

Lets learn more about ratio

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#SPJ2

work out the gradient of the line y=5x-3

Answers

Answer:

The answer is 5

Step-by-step explanation:

The equation given is y=5x+3 and since the 5 is in the place of m from the general equation, 5 is the slope. Since parallel lines have the same slope, 5 is the answer. The slope is 5.

The slope is the ratio of rise to run of a line. The gradient of the line y=5x-3 is 5

How to determine the gradient of a line?

The gradient of a line is also known as the slope and it is the ratio of rise to run of a line

The standard equation of a line in slope-intercept form is expressed as y = mx +b

m is the slope or gradient

Given the equation of a line y = 5x - 3

Compare

mx = 5x

m = 5

Hence the gradient of the line y=5x-3 is 5

Learn more on slope here: https://brainly.com/question/3493733

180=2x+y solve for x

Answers

Answer:

x=90-y/2

Step-by-step explanation:

Answer:

x=90-y/2

Step-by-step explanation:

2/3x - 5 = 3/4
Rewrite the equation above so that it does not have fractions. Do not use decimals in your answer.

Answers

Answer:

I don't know what i do not know

please someone help. Giving brainliest!!!!!! :)

Answers

Answer:

PLEASE BRAINLIEST

Step-by-step explanation:

400-2a =332

400-332 =2a

2a=68

a=34

Solve for m. 15 =9m Simplify your answer as much as possible.​

Answers

Answer:

15 = 9m

15/9 = 9m/9

m =15/9

=5/3

=1.666667

\frac{2x-1}{4}+\frac{x}{3}=2

Answers

Answer:

[tex]x = \frac{27}{10}[/tex]

Step-by-step explanation:

Hope this helps! :D

Add -2.25 +2.5

Plot the first addend and the sum on the number.


Please quick

Answers

Answer:

.25

Step-by-step explanation:

i do not know what Plot the first addend and the sum on the number. is... sorry

Directions: On each line, write the term from the word bank that correctly completes each sentence. Some terms will be used more than once.
autotroph(s)
binomial nomenclature
habitat
heterotroph
taxon


1. An organism that obtains energy from other organisms is called
a(n) heterotroph .
2. An organism that converts light energy into usable energy is called
a(n) autotroph .
3. A group of organisms is called a(n) taxonomy .
4. A(n) habitat is a specific environment where an organism lives.
5. Binomial nomenclature is a naming system that gives each living thing a two-word
scientific name.
6. Binomial nomenclature was created more than 300 years ago by scientist Carolus
Linnaeus.
7. Most organisms are adapted to live in a specific habitat .
8. A(n) plant uses light energy to convert carbon dioxide and water
into carbohydrates, or sugars.



HELPPPPPPPPPPPPPPPP

Answers

Answer:

uuuu

Step-by-step explanation:

Answer:

1. A heterotroph

2. An autotrophs

3. Genus

4. An habitat

5.The binomial nomenclature system combines two names into one to give all species unique scientific names.

6. Carolus Linnaeus

7. Living organisms residing in a habitat are called biotic components.

8. Photosynthesis

Please help me solve this problem

Answers

Answer:

13 hours

step by step instructions

i divided 390 by 30 hope it ok

Answer:

The repair man worked 11 hours.

Step-by-step explanation:

$390 - $60 = $330. keep in mind that she paid $60 for him to reach to her house the balance is for hours worked.

$330/$30= 11 hours

2p³+5p²+6p+15. Solve by grouping

Answers

Answer:

[tex]2 {p}^{3} + 5 {p}^{2} + 6p + 15[/tex]

Step-by-step explanation:

there are not any like terms, so you can not add anything together.

like terms means it has the same variable (letter) and exponent or it is a constant (a number by itself)

The daily consumption C (in gallons) of diesel fuel on a farm is modeled by C = 30.3 + 21.6 sin(2Ď€t/365 + 10.9) where t is the time (in days), with t = 1 corresponding to January 1. What is the average daily fuel consumption? Which term of the model did you use? Explain.

Answers

The question is an illustration of the sine function.

The average daily fuel consumption is 30.3The vertical shift represents the average daily fuel consumption

The function is given as:

[tex]\mathbf{C = 30.3 + 21.6\sin(\frac{2\pi t}{365} + 10.0)}[/tex]

A sine function is represented as:

[tex]\mathbf{y = a\sin(bx - c) + d}[/tex]

Where d represents the vertical shift.

In this case, d represents the average rate

So, the average daily fuel consumption is 30.3

The term that represents the average daily fuel consumption is the vertical shift of the sine function.

Read more about sine functions at:

https://brainly.com/question/12015707

a bag contains 13 triangles. I chose one at random. what is the probability that the sum of the angles measures of the one i chose to 180degrees

Answers

The probability 100% because the angles of a triangle always add up to 180°.

A rectangular prism has a length of 14in, a height of 18in, and a width of 17in. What is
its volume, in cubic in?

Answers

Answer:

4284in

Step-by-step explanation:

Because 14*18*17 is 4284

Last week, Tessa ran 3 5/6 miles. This week, she plans to run 4 5/8 times as far as last week. How many miles does Tessa plan to run this week?​

Answers

17 35/48 is your answer!

Please help me with this question

Answers

Answer:

triangle

Step-by-step explanation:

Always include the steps and/or background required to get to the final answer. Let’s help other people understand and solve future problems on their own.

can you please explain it ?

Answers

The answer is B 126°

the red lines mean those sides are congruent, meaning the bottom left angle is also 27°. 27+27=54. 180-54=126

please mark brainliest:)

Whats 1+1-1x1+2
:) Have a good day

Answers

Answer: it’s 3 hope it helps

Step-by-step explanation:

Answer:

1+1-1x1+2 = 3

Step-by-step explanation: 1 plus 1 is 2, 1 x 1 is 1, so you minus the 2, and it equals 3

which inequality represents the solutions to the inequality −5r+18≤2−3r?

Answers

Answer:

2 step equation problems.

Step-by-step explanation:

So you need to replace -3 into that to add -18 on both sides and that gives you the negative number is -20 and then you add the -5r+-3r less than or equal to -20. Now, negative -5 +3 = -8 + -20 = -28. r=-28.

Question 20 of 40
Anna thinks of a number. She subtracts 5 from the number, multiplies the
result by 2, and then adds 6. The number she ends up with is 14. What
number did Anna start with?
If you work backward to solve this problem, what do you do first?
A. Divide 14 by 2
OB. Add 5 to 14
C. Subtract 5 from 14
D. Subtract 6 from 14
What’s the first steps when doing it backwards ?

Answers

Answer:

2(x-5)+6=14 is your starting equation, and then we solve:

2(x-5)+6=14

2(x-5)/2 +6=14/2

x-5+6=7

the first step is to divide by 2, so A :)))

What is 5x-7=-10x+8

Answers

answer: x=1
explation: 5(1)-7=-2
-10(1)+8=-2

subtract 5 from both sides -

5x - 7 = -10x + 8

-5 -5

-7 = -15x + 8

subtract 8 from both sides -

-7 = -15x + 8

-8 -8

-15 = -15x

now divide both sides by -15 -

-15/-15 = -15x/-15

The answer: x = 1

(x alone also equals 1)

hope this helps! :)

HELP PLEASEEEE ASAP !

Answers

Answer:

x = 57

Step-by-step explanation:

x and 57 are alternate interior angles and alternate interior angles are equal when the lines are parallel

x = 57

HELPPPP

Which expression is a perfect square?
A. x² - 4x + 4
B. x2 - 4x - 4
C. 12 - 9x + 9
D. 12 - 9x – 9

Answers

Answer: Choice A

========================================================

Explanation:

A perfect square trinomial is of the form

(m+n)^2 = m^2 + 2mn + n^2

We can see why this works through use of the FOIL rule.

So the first and last terms must be perfect squares, and they must be positive. This rules out choices B and D since we have -4 and -9 as those last terms being negative.

Choice C is ruled out because the middle coefficient -9 isn't correct. The middle coefficient must be some even number since 2 is a factor of 2mn.

This leaves choice A. We can do a bit of trial and error to find that

(x-2)^2 = x^2 - 4x + 4

showing that choice A is a perfect square trinomial.

Answer:

A) x² - 4x + 4

Step-by-step explanation:

Given the following special factoring formulas on perfect square trinomials:

u² + 2uv + v² = (u + v)²

u² - 2uv + v² = (u - v)²

Apply these concepts on the given set of equations to see which special factoring formulas apply on the given options. I will only work on one of the given options, and you could apply these same techniques on the other ones to compare the results with your calculations.

To find the binomial factors of quadratic equations, you must find factors with product uv, and sum v.

In Option A: x² - 4x + 4

Right off the bat, it seems like the difference of squares may apply to this equation.  You must find the factors that will product of 4 and a sum of -4.

The possible factors are:

product uv: -2 × -2  = 4,

sum v :  -2 + -2 = -4

Hence, the binomial factor of x² - 4x + 4 =  (x - 2)²

If you expand this binomial through FOIL method:

(x - 2)(x - 2) = x² - 2x - 2x + 4 = x² - 4x + 4

This means that the trinomial x² - 4x + 4 produces a perfect square binomial factors of (x - 2)².

Therefore, the correct answer is Option A) x² - 4x + 4.

Please mark my answers as the Brainliest, if you find this helpful :)

Matthew is taking a multiple choice test with a total of 40 points available. Each question is worth exactly 2 points. What would be Matthew's test score (out of 40) if he got 9 questions wrong? What would be his score if he got xx questions wrong?

Answers

Answer:

22 points

Step-by-step explanation:

If their are fourty points avaliable and each question is worth two points, then there are a total of twenty questions (20 times 2 is 40). Therefore, if he gets nine questions wrong, he would have gotten 11 right. Because we know that each question is two points, we may just multiply 11 by 2, which means he has gotten a score of 22 points!

Jake and his little brother are buying a birthday gift for their grandmother. His brother can contribute $10. Let m be the amount of money Jake can contribute.

A. Write an expression that represents how much Jake and his brother will spend combined.



B. Write an equation that models the situation if they want to spend $25 altogether.



C. Solve the equation to find out how much Jake must contribute if they spend $25.

Answers

Answer:

A. m+$10

B. m+$10=$25

C. m+$10=$25

m=$25-$10

m=$15

jake must contribute $15

can someone do this for me please

Answers

Answer:

Step-by-step explanation:

2(2+3) =9+1

let me know if you get it right

If the student has already read 2525 of the pages, how long will it take them to read the rest of the book? _____ minutes Your answer should be written as a decimal rounded to the nearest tenth if necessary.

Answers

The number of pages the student can read in a minute is an illustration of rates.

The time left to complete the whole book is 90 minutes

From the complete question, the student's rate is:

[tex]\mathbf{Rate = 50\ pages/hr}[/tex]

The number of pages is:

[tex]\mathbf{Total = 100\ pages}[/tex]

First, we calculate the time to read the whole book

[tex]\mathbf{Total\ Time = \frac{Total\ pages}{Rate}}[/tex]

[tex]\mathbf{Total\ Time = \frac{100\ pages}{50\ pages/ hr}}[/tex]

[tex]\mathbf{Total\ Time = 2\ hours}[/tex]

The number of the student has read is:

[tex]\mathbf{Pages = 25}[/tex]

Next, we calculate the time spent on the 25 pages

[tex]\mathbf{Time\ Spent = \frac{Pages}{Rate}}[/tex]

[tex]\mathbf{Time\ Spent = \frac{25\ pages}{50\ pages/hr}}[/tex]

[tex]\mathbf{Time\ Spent = 0.5\ hr}[/tex]

Convert to minutes

[tex]\mathbf{Time\ Spent = 30\ minutes}[/tex]

So, the time left is:

[tex]\mathbf{Time\ Left = Total\ Time - Time\ Spent}[/tex]

This gives

[tex]\mathbf{Time\ Left = 2\ hours- 30\ minutes}[/tex]

[tex]\mathbf{Time\ Left = 1\ hour, 30\ minutes}[/tex]

Convert to minutes

[tex]\mathbf{Time\ Left = 90\ minutes}[/tex]

Hence, the time left is 90 minutes

Read more about rates at:

https://brainly.com/question/18065083

Which of the following statements is not true

Answers

Answer:

The slope of AB is different from the slope of BC is NOT TRUE.

Step-by-step explanation:

AB and BC are on the same straight line, so their slopes are the same.

(4a + 2) (6a ^2 - a + 2 )

Answers

[tex](4a + 2)(6a {}^{2} - a + 2) \\ = 4a(6a {}^{2} - a + 2) + 2(6a {}^{2} - a + 2) \\ = 24a {}^{3} - 4a {}^{2} + 8a + 12a {}^{2} - 2a + 4 \\ = 24a {}^{3} + 8a {}^{2} + 6a + 4[/tex]♧Solved
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