Urgent (I added 50 points)
The diagram below is drawn on a one-centimetre square grid


Work out the area of the shaded triangle:

Urgent (I Added 50 Points)The Diagram Below Is Drawn On A One-centimetre Square GridWork Out The Area

Answers

Answer 1

The area of the shaded triangle will be 11.5 square centimeters.

What is the area of the shaded region?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The area of the square will be given as,

A₁ = 5 x 5

A₁ = 25

The area of the triangles will be given as,

A₂ = 1/2 (1 x 5 + 4 x 3 + 2 x 5)

A₂ = 1/2 (27)

A₂ = 27/2

Then the area of the shaded triangle will be given as,

A = A₁ - A₂

A = 25 - 27/2

A = (50 - 27) / 2

A = 23/2

A = 11.5 square cm

The area of the shaded triangle will be 11.5 square centimeters.

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Answer 2

Answer:

In the graph, excluding the shaded triangle, there are three right angled triangles surrounding the shaded triangle in a square

Area of shaded triangle = area of square - area of three triangles

[tex]{ \sf{area = (5 \times 5) - ( \frac{1}{2} \times 4 \times 3) - ( \frac{1}{2 } \times 5 \times 2) - ( \frac{1}{2} \times 5 \times 1)}} \\ \\ { \sf{area = 25 - 6 - 5 - 2.5}} \\ \\ { \sf{area = 11.5 \: {cm}^{2} }}[/tex]


Related Questions

Each shape in the diagram below stands for a number.
000
Work out the value of each shape.
50/51 Marks
Total 90
-Total 66

Answers

The value of the circle is 20 while the triangle is 35

How to determine the values of each shape?

From the figure, we have

Three circles and Two triangles

Such that:

Three circles = 60

One circle and Two triangles = 90

Represent the circle with x and the triangle with y

So, we have

3x = 60

x + 2y = 90

The above forms a system of linear equations

Divide 3x = 60 by 3

x = 20

Substitute x = 20 in x + 2y = 90

20 + 2y = 90

This gives

y = 35

So, we have

Circle = 20

Triangle = 35

Hence, the values of the shapes are 20 and 35, respectively

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Panchito walks 9.75 kilometers in 90 minutes what is the unit rate in kilometers per hour

Answers

Answer:

6.5 kilometers per hour

Step-by-step explanation:

90 minutes is 1  1/2 hours.

to find the unit rate you would divide the distance by the time so you would divide 9.75 by 1.5 (1.5 is the decimal version of 1  1/2) which would give you 6.5 kilometers per hour

A rectangle has side lengths of 7units and (x + 4) units. When multiplied the area is 70 units². Write and solve an equation that will allow you to find the value of x.​

Answers

Answer:

7(x + 4) = 70

x = 6

Step-by-step explanation:

7(x + 4) = 70  Distribute the 7.  Multiply everything inside the parentheses by 7

7x + 28 =70  Subtract 28 from both sides of the equation

7x = 42  Divide both sides by 7

x = 6

7x6+4=70 since six plus four is ten and ten times seven is seventy

6 units

What is an integer between -5. And -6

Answers

Answer:

 does not exist

Step-by-step explanation:

You want an integer between -5 and -6.

Integers

The integers -5 and -6 are consecutive integers. There are no integers between these values. (That's what "consecutive" means.)

rofessor Frank Nabarro insists that all senior physics majors take his notorious physics aptitude test. The test is so tough that anyone not going on to a career in physics has no hope of passing, whereas 55% of the seniors who do go on to a career in physics still fail the test. Further, 75% of all senior physics majors in fact go on to a career in physics. Assuming that you fail the test, what is the probability that you will not go on to a career in physics? (Round your answer to four decimal places.)

Answers

The probability that you will not go on to a career in physics is 0.215.

How to calculate the probability?

From the information, the test is so tough that anyone not going on to a career in physics has no hope of passing, whereas 55% of the seniors who do go on to a career in physics still fail the test and 75% of all senior physics majors in fact go on to a career in physics.

Therefore, the probability that you will not go on to a career in physics will be:

= (1 - 0.75) / (0.75 × 0.55) + (0.75)

= 0.25 / (1.1625)

= 0.215

Therefore, the probability that you will not go on to a career in physics is 0.215.

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[tex] \rm\sum \limits_{n = 2}^{ \infty } \frac{1}{( {n}^{2} - 1 {)}^{2} } \\ [/tex]​

Answers

Partial fractions:

[tex]\displaystyle \frac1{(n^2-1)^2} = \dfrac14 \left(\frac1{n+1} - \frac1{n-1} + \frac1{(n+1)^2} + \frac1{(n-1)^2}\right)[/tex]

Now evaluate the sums. The first two terms form a telescoping sum,

[tex]\displaystyle \sum_{n=2}^\infty \left(\frac1{n+1} - \frac1{n-1}\right) = \sum_{n=1}^\infty \left(\frac1{n+2} - \frac1n\right) \\\\ ~~~~~~~~ = \lim_{N\to\infty} \sum_{n=1}^N \left(\frac1{n+2} - \frac1n\right) \\\\ ~~~~~~~~ = \lim_{N\to\infty} \left(\frac1{N+2} + \frac1{N+1} - 1 - \frac12\right) \\\\ ~~~~~~~~= -\frac32[/tex]

The others are flavors of [tex]\zeta(2)[/tex].

[tex]\displaystyle \sum_{n=2}^\infty \frac1{(n+1)^2} = \sum_{n=3}^\infty \frac1{n^2} \\\\ ~~~~~~~~~~~~~~~~~ = \sum_{n=1}^\infty \frac1{n^2} - 1 - \frac1{2^2} \\\\ ~~~~~~~~~~~~~~~~~ = \frac{\pi^2}6 - \frac54[/tex]

[tex]\displaystyle \sum_{n=2}^\infty \frac1{(n-1)^2} = \sum_{n=1}^\infty \frac1{n^2} \\\\ ~~~~~~~~~~~~~~~~~ = \frac{\pi^2}6[/tex]

It follows that

[tex]\displaystyle \sum_{n=2}^\infty \frac1{(n^2-1)^2} = \frac14 \left(-\frac32 + \left(\frac{\pi^2}6 - \frac54\right) + \frac{\pi^2}6\right) = \boxed{\frac{\pi^2}{12} - \frac{11}{16}}[/tex]

If f(x)=−7ex, find f(2) rounded to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

f(x)=-7ex

f(2)=-7e(2)

    f(2)=-10

POSSIBLE POINTS: 5.88
A rectangular playground is to be fenced in using a wall on one side and 210 meters of fencing for the other three sides. The area A(z) in square
meters of the playground is a function of the length z in meters of the side parallel to the wall.
Write an expression for A(z)

Answers

The function of the length z in meters of the side parallel to the wall is A(z) = z/2(210 - z)

How to write a function of the length z in meters of the side parallel to the wall?

The given parameters are:

Perimeter = 210 meters

Let the length parallel to the wall be represented as z and the width be x

So, the perimeter of the fence is

P = 2x + z

This gives

210 = 2x + z

Make x the subject

x = 1/2(210 - z)

The area of the wall is calculated as

A = xz

So, we have

A = 1/2(210 - z) * z

This gives

A = z/2(210 - z)

Rewrite as

A(z) = z/2(210 - z)

Hence, the function of the length z in meters of the side parallel to the wall is A(z) = z/2(210 - z)

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21-B Book Street Books sells about 1100 books each month. The circle graph displays the most popular book categories, by percentage, each month.
science fiction 38 %
Categories of Books Sold
children's fiction 13%
nonfiction 24%
sports 10%
romance 15 %
Step 1 of 5: Find the number of nonfiction books sold each month. Round your answer to the nearest integer.

Answers

well, we know they sell a total of about 1100 books monthly, and that nonfiction is 24% of that, what's 24% of 1100?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{24\% of 1100}}{\left( \cfrac{24}{100} \right)1100}\implies 264[/tex]

At Dapper Dave's annual end-of-season sale, every necktie in the shop gets marked down. Dillon purchased 6 neckties during the sale. Each necktie cost $5 less than its full price. He paid a total of $162. What is the cost of each necktie at full price?

Answers

$32 is the cost of each necktie at full price.

Given that

At Dapper Dave's annual end-of-season sale, every necktie in the shop gets marked down.

Dillon purchased 6 neckties during the sale. Each necktie cost $5 less than its full price.

He paid a total of $162.

To find

What is the cost of each necktie at full price ?

So, according to the question

we have,

On that end-of-season sale

Total purchased neckties = 6

Discount on each neckties = $5

Amount paid by him = $162

Let's assume the full price of one neckties is $x.

So,

    The price of one neckties after discount = x - 5.

     So the price of one neckties after discount = 6(x-5)

     He paid $162 for 6 neckties,

So we can say that

       the price of one neckties after discount =  $162

So,

         6(x-5) = 162

             x-5 = 162/6      

             x-5 = 27

                x = 27+5

                 x = 32

The cost of each necktie at full price is $32.

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Which of these could be an option after high school for Jon, an active person, who is interested in higher education but who doesn't want to take out student loans?
O Sign up for the military
O Apply for college
O
Take a reflection year
Attend a technical school

Answers

The option after high school for Jon, an active person, who is interested in higher education but who doesn't want to take out student loans is to take a reflection year.

How to illustrate the information?

It should be noted that based on the information, the inference has to do with the conclusion that one gets from the information or evidence that is given earlier.

In this instance, it should be mentioned that Jon, an energetic individual interested in further education but unwilling to take out student debt, has the choice to take a reflection year following high school.

In conclusion, the correct option is C.

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explain why the statement x < 3 or > 5 cannot be written 5 < x < 3

Answers

Answer:

This formula has no values, it is a false inequality. X can not be greater than 5, and less than 3.

Step-by-step explanation:

x < 3 or x > 5

This means, x is less than 3, but greater than 5.

Technically, you would write this as 5 < x < 3, however, this is a false inequality, and does not work.

PLEASE HELP ASAP!
What is the upper bound of the function?

f(x)= 3x^4 -7x^3 +5x -3

( ^4 and ^3 are exponents)

Answers

The term of highest degree is given as 3x⁴,and it has a positive coefficient. The upper bound is +∞.

What is the degree of a polynomial ?

To determine the degree of a polynomial just observe the highest power of the given variable.

We have polynomial given by f(x) = 3x⁴ - 7x³  +5x -3

Here we can see that it is a polynomial in of degree 4.

We know that a polynomial of degree has n number of roots so it is obvious a polynomial of degree 4 has 4 roots.

The function that tends to infinity as x goes in both the positive and negative directions.

The term of highest degree is given as 3x⁴,and it has a positive coefficient.

The upper bound is +∞.

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What is 96-8c=20-12

Answers

Answer:

c = 11

Step-by-step explanation:

96 - 8c = 20 - 12 , that is

96 - 8c = 8 ( subtract 96 from both sides )

- 8c = - 88 ( divide both sides by - 8 )

c = 11

Subtract the polynomials. Indicate the degree of the resulting polynomial.


(10x^4y^2-9x^3y-9y)-(5x^4^y2+10x^3y+12y-8x)

Answers

The degree of the resulting polynomial, 5x^4^y² - x^3y - 12y + 8x, after subtraction is: degree 4.

How to Subtract Polynomials?

Given, (10x^4y^2 - 9x^3y - 9y) - (5x^4^y2 + 10x^3y + 12y - 8x), to subtract, open the parentheses using the distributive property.

10x^4y^2 - 9x^3y - 9y - 5x^4^y² - 10x^3y - 12y + 8x

Combine like terms together

10x^4y^2 - 5x^4^y² - 9x^3y - 10x^3y - 9y - 12y + 8x

5x^4^y² - x^3y - 12y + 8x

The highest degree is 4. This determines the degree of a polynomial.

Therefore, the degree of the resulting polynomial, 5x^4^y² - x^3y - 12y + 8x, after subtraction is: degree 4.

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Goofy ahh questions are hard

Answers

Answer:

True sometimes when it is stressful.

Step-by-step explanation:

Answer:

Step-by-step explanation:

your very right

The ratio of boys to girls in math class is 2:4. If there are 24 students
in total in the class, how many boys and girls are there?

Answers

Answer:

8 boys and 16 girls

Step-by-step explanation:

2 boys plus 4 girls is six and six goes into 24 four times so 2 times four is eight and 4 times four is 16

Answer:

Step-by-step explanation: Since there are 24 students in total and the ratio is 2:4 then divide 24 by (2+4) which is 4. So the amount of boys is 2x4 which is 8. The amount of girls is 4x4 which is 16. 8+16=24

+87 + (4 + 8) = (7 + 4) + what property is

Answers

Answer:

87+(4+8)=(7+4)+x

87+12=11+x

87+12-11=x

88=x

help with theses answer please

Answers

Answer: correct me if I’m wrong

Step-by-step explanation:

HELP ME WITH THISSSS

Answers

Using it's concept, the probability that a randomly selected boy attended the dance is:

7/9.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

From the table, we have that:

There are 49 + 14 = 63 boys.Of those, 49 attended the dance.

Hence the probability that a randomly selected boy attended the dance is given as follows:

p = 49/63 = 7/9.

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In a photograph, allison stands next to her brother caleb

Answers

The actual height of Caleb based on the ratio in the photograph and actual is 48 inches.

What are the ratio and proportion?

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

Let's say Allison and Caleb's height in the photograph is A' and C' while in actuality it is A and C.

Since the ratio of height in the photograph will same as the ratio in actual life.

Thereby,

C/A = C'/A'

C/60 = 3.2/4

C = 192/4

C = 48 inches.

Hence "The actual height of Caleb based on the ratio in the photograph and actual is 48 inches".

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Given question is incomplete complete question follows ;

In a photograph, Alison stands next to her brother Caleb. Alison is 4 cm tall in the photograph. Her actual height is 60 in. Caleb is 3.2 cm tall in the photograph.

What is his actual height?

(Show your work)

if two intersecting lines are not perpendicular, then they form which two types of angles

Answers

The two angles are obtuse which is greater then 90 degrees or acute which is less then 90 degrees.

What solution value satisfies the compound inequality 4 < 3x∕2 + 1 < 7?
Question 12 options:

A)

x = 0

B)

x = 4

C)

x = 3

D)

x = 6

Answers

Answer:

C) x = 3

Step-by-step explanation:

To find the solution value that satisfies the inequality 4 < 3x∕2 + 1 < 7, you must plug every x value into the x and see which one works.

Plug 0 into x

4 < 3(0)∕2 + 1 < 7

4 < 0∕2 + 1 < 7

4 < 0 + 1 < 7

Combine like terms

4 < 1 < 7

This is false, 1 is not greater than 4.

Plug 4 into x

4 < 3(4)∕2 + 1 < 7

4 < 12∕2 + 1 < 7

4 < 6 + 1 < 7

Combine like terms

4 < 7 < 7

This is false, 7 is not less than 7.

Plug 3 into x.

4 < 3(3)∕2 + 1 < 7

4 < 9∕2 + 1 < 7

4 < 4.5 + 1 < 7

Combine like terms

4 < 5.5 < 7

This is true, 5.5 is greater than 4 and less than 7.

Plug 6 into x.

4 < 3(6)∕2 + 1 < 7

4 < 18∕2 + 1 < 7

4 < 9 + 1 < 7

Combine like terms

4 < 10 < 7

This is false, 10 is not less than 7.

C) x = 3 is the only true solution that works, so that is your answer.

I hope that helped and have a lovely rest of your day! :)

Can you please help with this.

Answers

Answer:

1. 11/12 2. 3/20 3. 18/4 or 4 1/2

Step-by-step explanation:

p^2+3p+1=0 using completing the square method​

Answers

Answer:

Answer is in the picture attached

What is the simplest form of the expression below?

Answers

Answer:

A. (2x+4)/x

Step-by-step explanation:

The product of a number and 10

Answers

A product is the answer to a multiplication problem. For the instance you could do 10x5 your product would be 50

Convert 1/2 into a fraction whose denominator is 10. Then write the corresponding decimal number

Answers

Answer:

• 5/10

• 0.5

Step-by-step explanation:

1.) if you multiply the numerator by 5 and the denominator by 5 you are left with a fraction of 5/10.

2.) the fraction line represents division. So 5 ÷ 10 = 0.5.

a light bulb consumes 2400 watts-hour per day. how many watts-hour does it consume in 5 days and 12 hours

Answers

The number of watts it will consume is 436.32

How the calculate the number of watts ?

A light bulb consumes 2400 watts/hour

The number of watts it will consume in 5 days 12 hours can be calculated as follows

The first step is to change 5 days 12 hours to hours

120 hours + 12 hours

= 132 hours

The bulb consumes 2400 watts per hour

= 2400/132

= 18.18

The number of watts consumed in 5 days 12 hours is

= 24 × 18.18

= 436.32

Hence the light bulb will consume 436.32 watt-hour in 5 days 12 hours

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please help me. I will give extra points and a Brainly.

Answers

Answer:

All I can think of is ¨pattern¨

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