What is the area of the shaded region?

6 mm

21 mm2

24 mm

42 mm

48 mm2

4 mm

3 mm

2 mm

5 mm

Answers

Answer 1

Answer:

The area of the shaded region is, [tex]24mm^{2}[/tex]

Step-by-step explanation:

First we have to calculate the area of ΔABC and ΔXYZ.

Area of ΔABC = [tex]\frac{1}2}[/tex]×[tex]Base[/tex]×[tex]Height[/tex]

Area of ΔABC = [tex]\frac{1}{2}[/tex]×[tex]5mm[/tex]×[tex]12mm[/tex]

Area of ΔABC =[tex]30mm^{2}[/tex]

and,

Area of ΔXYZ = [tex]\frac{1}{2}[/tex]×[tex]Base[/tex]×[tex]Height[/tex]

Area of ΔXYZ = [tex]\frac{1}{2} X3mmX4mm[/tex]

Area of ΔXYZ = [tex]6mm^{2}[/tex]

Now we have to calculate the area of the shaded region.

Area of the shaded region = Area of ΔABC - Area of ΔXYZ

Area of the shaded region = [tex]30mm^{2} - 6mm^{2}[/tex]

Area of the shaded region = [tex]24mm^{2}[/tex]

Therefore, the area of the shaded region is, [tex]24mm^{2}[/tex]

What Is The Area Of The Shaded Region? 6 Mm 21 Mm2 24 Mm 42 Mm 48 Mm2 4 Mm 3 Mm 2 Mm 5 Mm

Related Questions

Which of these expressions is equivalent to log (15/7)

Answers

Answer:

log(15)-log(7)

Step-by-step explanation:

just trust me cuh

can someone check my answer & explain?

Answers

Answer:

The answer should be 3 cubic cm

Step-by-step explanation:

First you have to get the area of the right triangle base 1/2 bh. That would be 2x3/2=3

To find volume, you plug the area in the volume formula

v=1/3 ah

v=1/3 (3)(3)

1/3(9) would be 3 cubic cm

. Which of the following equations
represents an identity? Justify your
choice.
1) 2x+1=3x+4
2) 4x-3=2(2x+7)
3) 6x+3=2x+10
4) 4(5x+2) = 20x+8

Answers

The correct equation which represent an identity will be;

⇒ 4(5x+2) = 20x+8

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

All the equations are,

1) 2x + 1 = 3x + 4

2) 4x - 3 = 2(2x + 7)

3) 6x + 3 = 2x + 10

4) 4(5x + 2) = 20x + 8

Now,

Solve each equation and find an identity as;

1) 2x + 1 = 3x + 4

⇒ 1 - 4 = 3x - 2x

⇒ - 3 = x

⇒ x = -3

Thus, It is not represent an identity.

2) 4x - 3 = 2(2x + 7)

⇒ 4x - 3 = 4x + 14

⇒ - 3 ≠ 14

Thus, It shows no solution.

3) 6x + 3 = 2x + 10

⇒ 6x - 2x = 10 - 3

⇒ 4x = 7

⇒ x = 7/4

Thus, It is not represent an identity.

4) 4(5x + 2) = 20x + 8

⇒ 20x + 8 = 20x + 8

⇒ 20x - 20x = 8 - 8

⇒ 0 = 0

Clearly, '0' is an additive identity.

Thus, This equation shows an identity.

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Jackson is trying to find the density, in g/cm", of a block of wood.

The block of wood is in the shape of a cuboid.

He measures

the length as 13. 2 cm, correct to the nearest mm

the width as 16. 0 cm, correct to the nearest mm

the height as 21. 7 cm, correct to the nearest mm

He measures the mass as 1970 g, correct to the nearest 5 g.

By considering bounds, work out the density of the wood.

Give your answer to a suitable degree of accuracy.

You must show all your working and give a reason for your final answer.

Answers

The density of the wood is between 0.35 g/cm^3

The density of a substance can be calculated using the formula:

density = mass / volume

To calculate the volume of the cuboid, we can use the formula:

volume = length x width x height

So, using the measurements provided:

volume = 13.2 cm x 16.0 cm x 21.7 cm = 5541.44 cm^3

To calculate the density of the wood, we divide the mass by the volume:

density = 1970 g / 5541.44 cm^3

We can convert cm^3 to g/cm^3 by converting the volume to g

1cm^3 = 1g/cm^3

density = 1970 g / 5541.44 g/cm^3

density = 0.3555 g/cm^3

However, as the measurements provided have a degree of uncertainty, we should consider bounds to find the range of possible densities.

The lower bound for the length is 13.2 cm - 0.1 cm = 13.1 cm

The upper bound for the length is 13.2 cm + 0.1 cm = 13.3 cm

The lower bound for the width is 16.0 cm - 0.1 cm = 15.9 cm

The upper bound for the width is 16.0 cm + 0.1 cm = 16.1 cm

The lower bound for the height is 21.7 cm - 0.1 cm = 21.6 cm

The upper bound for the height is 21.7 cm + 0.1 cm = 21.8 cm

The lower bound for the mass is 1970 g - 5 g = 1965 g

The upper bound for the mass is 1970 g + 5 g = 1975 g

We can now use these bounds to calculate the range of possible densities:

Density lower bound = 1965 g / (13.3 cm x 16.1 cm x 21.8 cm) = 0.350 g/cm^3

Density upper bound = 1975 g / (13.1 cm x 15.9 cm x 21.6 cm) = 0.360 g/cm^3

So the density of the wood is between 0.35 and 0.36 g/cm^3 to one decimal place.

So the density is 0.35 g/cm^3 with an uncertainty of 0.01 g/cm^3

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Who can solve these equations?

Answers

let's hmmm hmmm multiply both sides by the LCD of all denominators, that way we do away with the denominators and see what "x" is

[tex]\cfrac{x+1}{2}+\cfrac{x+2}{3}=3-\cfrac{x+3}{4}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{x+1}{2}+\cfrac{x+2}{3} \right)=12\left( 3-\cfrac{x+3}{4} \right)} \\\\\\ (6x+6)+(4x+8)=36-(3x+9)\implies 10x+14=36-3x-9 \\\\\\ 10x+14=27-3x\implies 10x=13-3x\implies 13x=13 \\\\\\ x=\cfrac{13}{13}\implies x=1 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{1-4x}{10}-\cfrac{2x+1}{2}=\cfrac{5x+1}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10\left( \cfrac{1-4x}{10}-\cfrac{2x+1}{2}\right)=10\left( \cfrac{5x+1}{5} \right)} \\\\\\ (1-4x)-(10x+5)=10x+2\implies 1-4x-10x-5=10x+2 \\\\\\ -14x-4=10x+2\implies -4=24x+2\implies -6=24x \\\\\\ \cfrac{-6}{24}=x\implies -\cfrac{1}{4}=x[/tex]

Is 10 an even number?

Answers

Yes, 10 is an even number because 10 is completely divisible by 2 that's why it is an even number.10 modulo 2 equals zero.

let's first try to understand what are numbers.

A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that use digits or symbols to represent them. the system of numbers

a helpful collection of numbers

that reflects the number's algebraic and mathematical structure.

offers a common depiction.

Even numbers An even number is any number that can be divided by 2 precisely. The last digit of an even number is always one of the following: 0, 2, 4, 6, or 8. Even numbers can include 2, 4, 6, 8, 10, 12, and 14.

So 10 is an even number.

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Aiden bought 2 iPads for a total of $480. At this rate, what is the cost of 3 iPads?

Answers

Answer:

The cost of three would be $720.

Step-by-step explanation:

First you need to divide 480 by 2 which gives you 240. 240 is the cost of one iPad so 240 times 3 is 720.

Answer:

$720.

Step-by-step explanation:

Karleebordelon6 has a wonderful answer, but I will provide a slightly different approach.

This can be solved by using proportions.

Take a look:

[tex]\frac{2 (ipads)}{480 (dollars)} =\frac{3 (ipads)}{x}[/tex]

After setting up the proportion, we can cross multiply.

[tex]480 * 3 = 1440\\[/tex]

[tex]2 *x = 2x[/tex]

Lastly, divide both products.

[tex]2x = 1440[/tex]

[tex]1440/2 = 720[/tex]

Therefore, the total cost of 3 iPads is $720.

In other words, x = 720.

[tex]\frac{2(ipads)}{480(dollars)} =\frac{3( ipads)}{720(dollars)}[/tex]

What is the total area, in square inches, of the shaded sections of the trapezoid
below?
5.4 in
7.9 in
4.8 in
5 in

Answers

First:

Break the shape into parts, this shape can be broken into 3 parts.

Next :
Put the equation for each shape

Shape 1 ( left shape)
L x h
5.4 in x 4.8 in = 25.95 in

Shape 2 (middle shape)
L x H
5in x 4.8in = 24in

Shape 3 ( right shape)
L x H
7.9 in x 4.8 in = 37.92 in

Last:
Add them all up

25.95 in
+ 24in
37.92in
——————
87.87in

Answer
87.87 in 2

I hope this helped and that I was right, have a nice day.


Which of these leg lengths on a right triangle would create a hypotenuse length of √13?

Answers

Answer:

A

Step-by-step explanation:

2^2 and 3^2 = 4 + 9 = 13

Can someone please answer // Find the central angle given that the measure of the arc is 200°

Answers

Answer:

ly/3gVQKw3

Step-by-step explanation:

DON'T PRESS ON THAT LINK PLZ

combine like terms:


Answers

Answer:

20x²

-5xy

14y²

Step-by-step explanation:

17x² + 3x² = 20x²

-3xy - 2xy = -5xy

14y²

Santiago has 5 11/16 cups of dough to make dumpling. If he uses 13/16 cups of dough for each dumplings how many dumplings can santiago make?

Answers

Santiago can make 7 dumplings

To find out how many dumplings Santiago can make, we need to divide the total amount of dough (5 11/16 cups) by the amount of dough used per dumpling (13/16 cups).

To do this, we can first convert the fractions to have a common denominator. In this case, the denominator of 13/16 is 16, so we can convert 5 11/16 to have a denominator of 16 as well:

5 11/16 = (5 * 16) + 11/16 = 80 + 11/16

Now we can divide:

(80 + 11/16) ÷ (13/16) = (80 + 11) ÷ 13 = 91 ÷ 13

So Santiago can make 91/13 dumplings. This can be simplified further to 7 dumplings. So Santiago can make 7 dumplings with 5 11/16 cups of dough.

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Which triangle is triangle MNO similar to and why?

Answers

Answer:

triangle GHK

Step-by-step explanation:

angles add up to 180

angle N + angle M + angle O = 180

79 + 22 + angle N = 180

180 - 79 -22 = angle N = 79

triangle GHK has 2 of the same angles (79 and 79), so that is our answer

HELP PLZ!!!
C=5/9(F−32)

The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?

A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 59 degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of 59 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.

A) I only
B) II only
C) III only
D) I and II only

Answers

Answer:

C=5/9F−5/9(32)

you can see the slope of the graph is 5/9, which means that for an increase of 1 degree Fahrenheit, the increase is 5/9 of 1 degree Celsius. Therefore, statement I is true.

This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9/5 degrees Fahrenheit. Since 95 = 1.8, statement II is true.

On the other hand, statement III is not true, since a temperature increase of 9/5 degrees Fahrenheit, not 5/9 degree Fahrenheit, is equal to a temperature increase of 1 degree Celsius.

The final answer is D.

9. The expression (xn)(x5)3 is equivalent to x30. What is the value of n?

Answers

Answer: N= x24 over 3

Step-by-step explanation:

Select the correct answer.
Which piece of information is listed in the income section of a tax return?
A dependent care expenses
B.
dividends
OC. retirement plan contributions
OD
student loan interest

Answers

A. Dependent care expenses

9514 1404 393

Answer:

  B.  dividends

Step-by-step explanation:

You're looking for an income item.

Expenses, contributions, and loan interest are amounts paid, not amounts received. The only income item listed is "dividends."

I really need help on this. 22 points if you get it!!

Answers

The value of angle x in the triangle shown is 78°

How to solve an equation?

An equation is an expression that shows the relationship between two or more numbers.

A triangle is a polygon that has three sides and three angles. The sum of angles in a triangle is 180 degrees. Types of triangles are isosceles, scalene, equilateral

In the large triangle let the missing angle by y, hence:

y + 87 + 36 = 180  (sum of angle in a triangle)

y = 57°

In the triangle containing the angle 45, let the missing angle be z, hence:

z + y + 45 = 180 (angle in a triangle)

z + 57 + 45 = 180

z = 78°

x = z (corresponding angles are equal)

x = 78°

The value of x is 78°

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Thank you to whoever helps <3

Answers

Np and the answer is B.35 because you are not supposed multiply your are supposed add for an example 20 + 15 = 35 and if you multiply which you are not supposed to you would get 300 but that wouldn’t be the right answer cuz 300 is not one of the choices so you answer would be B)35

Hope that helped you out oh and can you give me the brainliest

20 points plz helpppppp

Answers

Answer:

not sure but I think its the second one

Answer:

it's B i believe

Step-by-step explanation:

3
1
3
19 -3
to get 75 13)?
Which matrix post multiplies to
4​

Answers

Answer:

Please dont delete

Explanation:

Hello. I am sorry that I can not answer your question but I am doing this so I can get answers of my own. I appreciate your understanding and I hope you get your answer soon. Good luck!

Solve the system of equations using subtraction.
2x-6y = -2 - 2y
-6x - 4y = -38 -2x

Answers

Answer:

y=7/2 and x=6

Step-by-step explanation:

2x−6y=−2y−2 can be turned into x=2y−1.

Now you can substitute the equations.

−6x−4y=−2x−38

−6(2y−1)−4y=−2(2y−1)−38

Then you can simplify.

−12y+6=−36

−12y=−42

y=7/2

Then you can substitute y to find x.

x=2y−1

x=2(7/2)-1

x=6

And then our answers are y=7/2 and x=6.

Hope this helped! :)

How do you write an expression in factored form?

Answers

To write an expression in factored form, its products needs to be deduced.

What is an expression?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.

Factoring is the process of representing a given number or algebraic statement as the product of its components.

For example - Consider the binomial 3x^2-9x.

On simplifying it -

3x^2-9x = 3x(x-3)

So, here 3x^2-9x is the expanded form and 3·x·(x-3) is the factored form.

Another example is - Consider y^2-100.

The terms used here can all be expressed as squares.

y^2 − 100 = y^2 − 10^2

(y + 10)(y − 10)

The factors in this case are (y + 10) and (y - 10).

Therefore, the products are the factors of an expression.

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Find the measure of the exterior 21.
60°
7
25

Answers

Answer:

A 85 hope it helps you

thank you

Find the difference of (2x2 – 5x + 7) - (7x2 + 3)

Answers

Answer:

[tex]{\small{\boxed{\sf{\red{here \: is \: your \: solution..}}}}} \\ \\ {\small{\boxed{\sf{\purple{ = (2x {}^{2} - 5x + 7) - (7x {}^{2} + 3) }}}}} \\ \\ {\small{\boxed{\sf{\purple{ = 2x {}^{2}- 5x + 7 - 7x {}^{2} - 3 }}}}} \\ \\ {\small{\boxed{\sf{\pink{ = - 5x {}^{2} - 5x + 4 }}}}} \\ \\ [/tex]

[tex]\small\mathfrak\green{hope \: it \: helps... |...| }[/tex]

What is the sum of interior angles of triangle?
a) 360°
b) 100°
c) 180°
d) 200°​

Answers

Answer:

c) 180

Step-by-step explanation:

each angle of the triangle is 90

Answer:

the answer is c. 180° :))

Help please!!! Fine the inverse for each relation

Answers

Answer:

1. (-3,1) (3,-2) (1,5) (4,6) 2. (7,-5) (-8, -6) (-2,1) (3,10)

Step-by-step explanation:

To find the inverse of ordered pairs you need to switch their orders. For example, given (-2, 5) and told to find the inverse, your answer would be (5, -2).

What is the 7th term of the geometric sequence where a1 = −4,096 and a4 = 64? (6 points)

Answers

Answer:

7th term is -1

Step-by-step explanation:

Mathematically, we have the nth term of a geometric sequence as:

Tn = ar^(n-1)

where a is the first term

n is the number of terms

T4 = ar^3

64 = -4096 * r^3

r^3 = -64/4096

r^3 = -1/64

r^3 = (-1/4)^3

r = -1/4

The 7th term is:

T7 = ar^6

T7 = -4,096 * (-1/4)^6

T7 = -1

The 7th term is -1

Mr.Rotich decided to honour top 3 students in Mathematics by sharing sh 12000 in the ratio 6:5:x for the first,second and third student respectively.if student number 2 got sh 4000,find the value of x​

Answers

Answer:

4

Step-by-step explanation:

Given data

Number of student= 3

Total amount= 12000

Ratio= 6:5:x

Combined ratio= 6+5+x= 11+x

Applying the part to all method

if student number 2 got sh 4000

then

5/11+x= 4000/12000

5/11+x= 1/3

cross multiply

11+x= 15

x= 15-11

x= 4

Hence the value of x is 4

Find the surface area and volume for this following pyramid

Answers

We calculated   volume of pyramid = 160 cubic inches and surface area = 214.59 square inches.

what is pyramid?

A three-dimensional geometrical figure having flat polygon base along with a number of lateral triangular shaped faces.

How to calculate the volume and surface area of the pyramid?

The given pyramid is a rectangular pyramid having length 10 inch and width 8 inch. The height of pyramid is 6 inches.

length, l = 10 inch

width, w = 8 inch

height, h = 6 inch

Now the volume will be, V = 1/3 × l × w ×h

                                       V = 1/3 × 10 × 8× 6

hence, the volume = 160 cubic inches

We calculate the surface area of the given pyramid,

formula for surface area, SA = l × w + 1/2 × w ×√(4h²+l²) + 1/2 × l ×√(4h²+w²)

SA = 10 × 8 + 1/2 × 8 ×√(4×6²+10²) + 1/2 ×10×√(4×16²+8²)

Surface area = 214.593 square inches

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2x - 3y = -7

y = 2x + 9

Answers

(x,y) -5,-1 because when you plug y=2x+9 into the 2x-3y=-7 and solve that equation you would get -5 for y. Then when you plug the -5 into the y=2x+9 you would get -1
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