Mathematics High School

help ASAP with working if possible ​

Help ASAP With Working If Possible

Answers

Answer 1

Answer:

1.  The volume of the cylinder is approximately 0.153 m³

2. 25 cm

3. [tex]25.\overline 6 \ cm[/tex]

4. 16 m

5. 1,785 m³

Step-by-step explanation:

The volume of a solid can be found by the product of the uniform cross-sectional area of the solid and the (continuous) length of the solid

1. The uniform cross-sectional area of the given cylinder = The area of the circle at the base or top

The dimension of the diameter of the circle at the top of the cylinder, d = 50 cm = 0.5 m

The area of the circular cross-section, A = π·d²/4

∴ A = π × 0.5²/4 = 0.0625·π

A = 0.0625·π m²

The height of the cylinder, h = The continuous length of the circular cross-section = 78 cm = 0.78 m

∴ The volume of the cylinder, V = A × h

∴ V = 0.0625·π × 0.78 = 0.04875·π ≈ 0.153

The volume of the cylinder, V ≈ 0.153 m³

2. The given volume of the trapezium, V = 8550 cm³

The length of the short and long parallel sides 'a', and 'b', are 17 cm and 21 cm respectively

The height of the trapezium from the diagram, h = 18 cm

The cross-sectional area of the trapezium, 'A', is found as follows;

A = (17 cm + 21 cm)/2 × 18 cm = 342 cm²

The volume of the trapezium, V = The cross-sectional, A × The (missing) length, 'l' of the trapezium

∴ l = V/A

By substitution, we have;

l = 8550 cm³/(342 cm²) = 25 cm

∴ The Missing Length, l = 25 cm

3. The given volume of the solid having a uniform cross-sectional area is, V = 385 cm³

The area of the (uniform) cross-section of the solid, A = 15 cm²

∴ The length of the solid, 'l', from V = A × l, is given as follows;

l = V/A

∴ l = 385 cm³/(15 cm²) = 25.[tex]\overline 6[/tex] cm

The length of the solid, l = 25.[tex]\overline 6[/tex] cm

4. From the diagram, we have;

The cross-sectional area of the solid, A = 216 m²

The length of the solid, l = 16 m

5. The cross-section of the solid can  can be assumed to be either;

1. A trapezium from which a rectangle has been removed of dimensions 8 m by 9 m.

2. A triangle located above a rectangle

For scenario one, we have;

The cross-sectional area, A = (12.5 + 9)/2 × 15 - 8 × 9 = 89.25

For scenario two, we find 'A' as follows;

A = 7 × 9 + 1/2 × 15 × 3.5 = 89.25

∴ The cross-sectional area of the solid, A = 89.25 m²

The length, 'l', of the solid, is given as l = 20 m

The volume of the solid, V = A × l

∴ V = 89.25 m² × 20 m = 1,785 m³

The volume of the solid, V = 1,785 m³.

Related Questions

Which measurements could not represent the side lengths of a right triangle?
F 25 feet, 60 feet , 65 feet
G 9 feet, 12 feet, 15 feet
H 20 feet, 25 feet, 30 feet
12 feet, 35 feet, 37 feet

Answers

the answer is H because if you use pythagorean theorem, A^2 + B^2 = C^2, that one is the only one that has a different C solution

A die is thrown once, find the probability of getting an even number and a multiple of 3,​

Answers

Answer:

OPA OPA OPA OPA OPA OPA OPA OPA

Step-by-step explanation:

_. ._

\_(``-)_/

Answer:

its by chance yk

Step-by-step explanation:

PLEASE HELP! I WILL MARK BRAINLIEST AND IM GIVING OUT AS MANY POINTS AS I CAN!!

Answers

Answer: Answer to 13 is 16 as it is 81+ days. Answer 14 is 16/50 which is 32 percent The median on 15 is the 6th value and the minimum value is the smallest number in the sequence provided. The lower quartile is the 3rd number in the sequence but you need to put them from smallest to largest. The upper quartile is the 9th number in the sequence. The maximum value is the biggest number in the sequence

Step-by-step explanation:

choose the number that is equal to: 2/3 divided by (-3) A.)-2 B.) -2/9 C.)2/9 D.) 2

Answers

Answer

B

Explanation
Dividing by -3 is same as multiplying by -1/3. Multiply those two fractions to get -2/9

How do you do this pls I need help

Answers

Answer:

416 cm2

Step-by-step explanation:

The formula for surface area of prism.

2Ab+ Pb*h

2(1/2)(12)(8)+ 32*10

= 96+320

= 416 cm2

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find the coordinates of the point where y-4x=1 crosses the y-axis

Answers

Answer:

(0, 1)

Step-by-step explanation:

y - 4x = 1 crosses the y-axis at (0, 1)

Answer:

(0,1)

Step-by-step explanation:

solve for x. The segments labeled in the picture are the tangets.

Answers

D) 9
Hope it helps u!!!!

Ill mark brainliest, question is attached

Answers

go on mathpapa.com they solve / simplify / factorise and everything they're very good it's a calculator

Answer:

-15u^2

Step-by-step explanation:

Find the area!

- please help!

Answers

Answer:

25 x 20 = 500

half of 25 = 12.5

12.5^2

156.25 x 3.14 = 490.625

490.625 divided by 2 = 245.3125

245.3125 + 500 = 745.3125 cm2 is your answer.

Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.

For any value of x, g(x) will always be greater than h(x).
For any value of x, h(x) will always be greater than g(x).
g(x) > h(x) for x = -1.
g(x) < h(x) for x = 3.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).

Answers

Answer:

For any value of x, g(x) will always be greater than h(x)

g(x) > h(x) for x = -1

For positive values of x, g(x) > h(x).

For negative values of x, g(x) > h(x).

Answer:

Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.

g(x) > h(x) for x = -1.  

For positive values of x, g(x) > h(x).  

For negative values of x, g(x) > h(x).

Step-by-step explanation:

and for the lazy people its just C, E, F

please help! ASAP!!!!

Answers

Answer:

Part A)  2(n/6) - 9

Part B)  the expression would change to 2(n/6) + 9 if  it said 'more than'

Step-by-step explanation:

Solve for x.

One side = 10
Another side = 9
One side = x
(It's a right triangle.)

Answers

Answer:

x = 4.3588989435406

I hope it's helps you

Which is a reasonable estimate for 7473 - 2875

Answers

Answer: the answer is 4,598.

What is the equation of the line?

Answers

Answer:

y = 4

Step-by-step explanation:

find the volume of the figure. (3.14 as pi)

Answers

Answer:

84

Step-by-step explanation:

7x3x4

,,,,,,,,,,,,,,,,

Answer:

84 in^3

v=length x width x height

Why do u need pi in this, there are no circle or sphere or cone, or whatever

hope that answers your question

good luck and stay safe

Step-by-step explanation:

Which of the following relations is a function?
A. (0,4), (-3, 2), (5, 1), (-7, 2)
B. (0,0), (-3, 3), (5, 1), (-3, 5)
C. (5, 1), (-3, 4), (0, 1), (5,2)
D. (0,4), (-3, 6), (0, 3), (-7, 2)

Answers

Answer:

c is the one with function

determine the domain of the following graph

Answers

Answer:

[-5, 10) or you can write [tex]-5\le x < 10[/tex]

Step-by-step explanation:

The domain is the set of all values of x used in the function. Scan across the graph from left to right (much as you do when reading). The first point you find on the graph has an x-coordinate 5 (see the solid dot?). Then, as you continue reading across the graph, there are values of x used until you get to 10. The dot at x = 10 is open, not filled in. That indicates that the number x = 10 is NOT used by the function.

So the domain is all real numbers greater than or equal to -5 and less than 10.

[-5, 10) is called interval notation; a square bracket means the value next to it IS used by the function, a parenthesis means the value next to it is NOT used.

What is 165 rounded to the nearest ten?

Answers

Answer:

170

Step-by-step explanation:

5 and up you round up and 4 and below round down.

Look at the six then look at the number to the right, 5.

So, you round up to 170 instead of 160.

There are 200 marbles in the bag. John picks 10 marbles out of
the bag and 6 of them are red. What would be an estimate for
the number of red marbles in the bag?

Answers

Answer:

120

Step-by-step explanation:

10 x 20 = 200

thus 6 x 20 is 120

Represent 0.533 (only the last 3 is bar number) into a rational number

Answers

Answer:

[tex]\frac{8}{15}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating 3 placed after the decimal point.

let x = 0.5333.. ( multiply both sides by 10 and 100 )

10x = 5.333... → (1)

100x = 53.333... → (2)

Subtract (1) from (2) tus eliminating the repeating 3

90x = 48 ( divide both sides by 90 )

x = [tex]\frac{48}{90}[/tex] = [tex]\frac{8}{15}[/tex]

Answer:

IT IS 8/15

Step-by-step explanation: Divide and multiply the fraction from 100 to tens

Please check my answer !! thank you ⭐️

Answers

I think your answer is right.

Cómo trazar Polígonos regulares utilizando material geométrico como la regla, compas y el graduador porfa ayuda

Answers

Answer:

En matemática, un polígono construible es un polígono regular que puede ser construido con regla y compás. Por ejemplo, un pentágono regular es construible con regla y compás mientras que un heptágono regular no lo es.En matemática, un polígono construible es un polígono regular que puede ser construido con regla y compás. Por ejemplo, un pentágono regular es construible con regla y compás mientras que un heptágono regular no lo es.

Find the measure of arc FV

Answers

Answer:

FV = 60

Step-by-step explanation:

VG => 65 × 2 = 130

FH major arc=> 119 × 2 =  238

FH major arc -  GH = FG

FG => 238 - 168 = 70

VG - FG major arc = FV

FV => 130 - 70 = 60

Answer:

60 degrees

Step-by-step explanation:

The measure of an inscirbed angle is half the measure of the intercepted arc.

(The measure of the arc is twice the measure of the angle!)

The inscribed angle at V  intercepts an arc of 2 x 119 = 238 degrees, so the measure of arc FGH is 238.  Subtract arc GH from that, 238 - 168 = 70, so that is the measure of arc FG.

The angle at H intercepts an arc with measure 2 x 65 = 130.  The measure of arc VFG is 130.  But arc FG is part of that, so subtract its measure from 130.  130 - 70 = 60.

The measure of arc FV is 60 degrees.

The zeros of a quadratic function are -7 and 3. Which of the following could be the function? Select all that apply.
A. F(x)=2x^2-8x-42
B. F(x)=5x^2+20x-105
C. F(x)=x^2+4x-21
D. F(x)=x^2-4x-21

Answers

The possible functions are

A. F(x)=2x^2-8x-42

B. F(x)=5x^2+20x-105

C. F(x)=x^2+4x-21

How to determine the possible equations?

The zeros are given as:

x = -7 and x = 3

Rewrite as:

x +7 = 0 and x - 3 = 0

Multiply both zeros

(x + 7) * (x - 3) = 0 * 0

Evaluate the product

x^2 + 7x - 3x - 21 = 0

Evaluate the like terms

x^2 + 4x - 21 = 0

Express as a function

f(x) = a(x^2 + 4x - 21)

Where a is a constant

Let a = 1, 2 and  5 (according to the values in the options)

f(x) = 1 * (x^2 + 4x - 21) = x^2 + 4x - 21 --- option (c)

f(x) = 2 * (x^2 + 4x - 21) = 2x^2 + 8x - 42 --- option (a)

f(x) = 5 * (x^2 + 4x - 21) = 5x^2 + 20x - 105 --- option (b)

Hence, the possible functions are (a), (b) and (c)

Read more about quadratic functions at:

https://brainly.com/question/1214333

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Answers

Answer:

AAAAAA

Step-by-step explanation:

Please help link=report it worth 15 points and you’ll get brainiest if it right

Answers

Answer:

d) none of these lines fit the data

Answer:

This has to be D - None of the lines fit the data

B > data at the end

A > data at the beginning

C doesn't really match at all.

[tex]\mathtt{: )}[/tex]

can someone please help me

Answers

Answer:

Step-by-step explanation:

If a1=4 and an =2an-1 – 1 then find the value of a4.

Answers

1 = 4

a2 = -2(a1) - 1
a2 = -2(4) - 1
a2 = -9

a3 = -2(a2) - 1
a3 = -2(9) - 1
a3 = -19

Can you do a4 and a5 and answer?

The value of [tex]a_{4} = 37[/tex].

Here,

The value of [tex]a_{1} = 4[/tex]

And,  [tex]a_{n} = 2 a_{n-1} -1[/tex]

We have to find value of [tex]a_{4}[/tex].

What is Sequence?

A sequence is a collection of elements that are arranged according to a specific pattern.

Now,

The value of [tex]a_{1} = 4[/tex]

And,  [tex]a_{n} = 2 a_{n-1} -1[/tex]

Then to find value of [tex]a_{4}[/tex], we can find [tex]a_{2} , a_{3}[/tex] as;

[tex]a_{2} = -2(a_{1} ) - 1\\a_{2} = -2(4) - 1\\a_{2} = -9[/tex]

And,

[tex]a_{3} = -2(a_{2} ) - 1\\a_{3} = -2(9) - 1\\a_{3} = -19[/tex]

Hence, the value of [tex]a_{4}[/tex] is;

[tex]a_{4} = -2(a_{3} ) - 1\\a_{4} = -2(-19) - 1\\a_{4} = 37[/tex]

Therefore, The value of [tex]a_{4} = 37[/tex].

Learn more about the sequence visit:

https://brainly.com/question/7882626

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I need an answer! NO LINKS! PLS ill give brainlist!

Answers

i’m pretty sure it’s D. 84.4

Ms.Boyers is baking a cake for the holiday. She needs 3 cups of milk and 1 cup of corn syrup. How many ounces of milk and corn syrup does she need in all

Answers

Answer:

she will need 24 ounces of milk and 8 ounces of corn syrup

Step-by-step explanation:

let me know if im right good luck!

Answer:

[tex]48[/tex] oz of milk

[tex]16[/tex] oz of corn syrup

Step-by-step explanation:

[tex]3\times16=48\\1\times16=16[/tex]

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