A rectangular plot of land is represented on a map by the vertices (10,10), (10, 90), (70.5, 90), and (70.5, 10), where the x- and y-coordinates are measured in yards. What is the area of the plot of land?

Answer:

40,60,80

Step-by-step explanation:

2x+3x×4x=180

9x=180

x=20

2x=40

3x=60

4x=80

Answer:

two times the sum of a number and 5

Step-by-step explanation:

The answer is 35.1 cm².

Hope this helps; have a great day!

Question:-

Find the area of an equilateral triangle with side length = 9cm correct upto one decimal place.

_______________________________________________

Solution:-

In an equilateral triangle all sides are equal.

Let s = side length = 9 cm

Then, area of equilateral triangle is given as:

A = (√3/4)s²

Putting the value of s here,

A = (√3/4) * (9 cm)²

=> A = (√3/4) * 81 cm²

=> A = √3 * 20.25 cm²

We know that, √3 = 1.732

=> A = 1.732 * 20.25 cm²

=> A = 35.073 cm²

Rounding to one decimal place,

=> A = 35.1 cm²

_______________________________________________

Answer:

21 pieces

Step-by-step explanation:

Given that,

Length of wood needed = 233 feet

The wood comes in lengths of 11 feet.

We need to find the number of pieces samuel need to buy. It can be done as follows :

Let he needed x peices. So

[tex]x=\dfrac{233}{11}\\\\x=21.18\\\\or\\\\x=21[/tex]

So, he will need approx 21 peices.

Answer:

Step-by-step explanation:

1. 3/7

2. 1/5

3. 7 and 21

Answer:

1) 3/4

2) 1/5

3) 7 and 21

4) 9 tokens a day

5) 6 laps a week

Answer:

x = -2

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

(2x-1)= 5(x+1)

2x - 1 = 5x + 5

-2x -2x

- 1 = 3x + 5

-5 -5

-6 = 3x

-6/3= 3x/3

-2= x

Answer:

5

Step-by-step explanation:

Answer:

790 units^2

Step-by-step explanation:

Take the area of each side and add them all up. Remember each side is there twice.

Formula: SA = 2(15*5 + 15*16 + 5*16)

SA = 2(75 + 240 + 80)

SA = 2(395)

SA = 790

Answer:

n=7

Step-by-step explanation:

71=10n+1

We move all terms to the left:

71-(10n+1)=0

We get rid of parentheses

-10n-1+71=0

We add all the numbers together, and all the variables

-10n+70=0

We move all terms containing n to the left, all other terms to the right

-10n=-70

n=-70/-10

n=7

Hope it helps

Answer:

The equation simplifies to n = 7.

Step-by-step explanation:

Hey there! We have an algebraic equation with the variable n. We want to solve for n. Therefore, we need to simplify the expression as much as we can.

To do this, we're going to notice we have two like terms in the equation:

These two terms can be combined to make one term. In order to do this, we're going to check which side of the equation has two terms.

We are going to then check the sign of the constant. As a reminder, constants are numbers without a variable attached to them.

We see our constant is 1 on the right side and it is positive due to it being added to 10n. Therefore, we are going to do the opposite and subtract it from 71.

This leaves us with a more simplified equation: 70 = 10n.

To make things easier, we're going to use the commutative property and switch the terms around. This will give us 10n = 70. It is easier to operate when our variable term is on the left side.

Now, we need to get our variable by itself. A coefficient is multiplying the variable by that value, so to reverse that, we must divide.

In addition to that, what we do on one side of the equation must be done on the other side of the equation.

[tex]\displaystyle \frac{10n}{10} = \frac{70}{10}[/tex]

This simplifies to n = 7, which is our final answer.

Answer:

f(−18)=−8

khan academy

Answer:

The answer is "[tex]1\frac{5}{6}[/tex]"

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]BH=\frac{2}{3} \cdot L[/tex]

       [tex]=\frac{2}{3} \cdot (2+\frac{3}{4}) \\\\=\frac{4}{3} +\frac{6}{12} \\\\=\frac{4}{3} +\frac{1}{2} \\\\=\frac{8+3}{6} \\\\=\frac{11}{6} \\\\= 1 \frac{5}{6} \\[/tex]

Answer:

The answer would be 1 5/6 !

Step-by-step explanation:

Answer:

Step-by-step explanation:

let the numbers be 7x,y,y,y.

7x+3y=36

3y=36-7x

[tex]y=\frac{36-7x}{3} \\let~x=3\\y=\frac{36-7 \times 3}{3} =\frac{15}{3} =5\\[/tex]

numbers are 7×3,5,5,5

or 21,5,5,5

21×5×5×5=2625

Answer:

what are you asking?

Step-by-step explanation:

Answer:

$67.2

Step-by-step explanation:

8% of $52.50

52.5 × 8/100 = $4.2

20% of $52.50

52.5 × 20/100 = $10.5

total

$52.5 + $4.2 + $10.5 =$67.2

Answer:

Step-by-step explanation:

THE ANSWER IS 200 , 30, Y=50+0.30X, Y=200+ 0.50X

The solution is, x = 20, is the solution of Y=0.25x +50=0.30x+ 40.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

EXPLANATION

The equation given can be express as

y = 0.25x + 50

y = 0.30x + 40

Since, both equations are functions

Equate the two functions together

0.25x + 50 = 0.30x + 40

Collect the like terms

0.25x - 0.30x = 40 - 50

x(0.25 - 0.30) =-10

x(-0.5) = -10

-0.5x = -10

Divide both sides by -0.5

-0.5x / -0.5 = -10/-0.5

x = 10/0.5

x = 20

When collecting the like terms, we isolate values with the same variables from values with a different variables.

If a positive sign crosses an equality sign it automatically becomes a negative sign and if a negative sign crosses an equality operator it automatically becomes a positive sign.

Hence, The solution is, x = 20, is the solution of Y=0.25x +50=0.30x+ 40.

To learn more on equation click:

brainly.com/question/24169758

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complete question:

Y=0.25x +50=0.30x+ 40 how would I get x=20?

Answer: 1.44pi

Step-by-step explanation:

Answer:

9: 1,3,9

45: 1, 3, 5, 9, 15, and 45

Step-by-step explanation:

So the gcf is 9

Answer:

Step-by-step explanation:

The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0

We can find the GCF of 9 and 45 by the following methods.

GCF of 9 and 45 by Listing the Common Factors Method

GCF of 9 and 45 by Prime Factorization Method

Answer: 45$

Step-by-step explanation:

Given

Principal [tex]P=\$500[/tex]

Rate [tex]R=6\%[/tex]

time [tex]t=18\ \text{months or}\ 1.5\ \text{years}[/tex]

Simple interest is given by

[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]

In the question, time is taken in months which is incorrect

Putting values

[tex]\Rightarrow S.I.=\dfrac{500\times 6\times 1.5}{100}=45\$[/tex]

Answer: A. f(n) = 4 ∙ 2n-1

Step-by-step explanation:

because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.

Answer:

c

Step-by-step explanation:

Answer:

I think A or C

Step-by-step explanation: hope this was helpful

Answer:

28.9

Step-by-step explanation:

2782 divied by 96 gives you 28.9.