Use Phythagoras Theorem!!

the length pf a rectangle is 50 cm and its diagonal is 51 cm. work out the area of the rectangle, to the nearest square centimetre.​

Answers

Answer 1

a² + b² = c²

50² + 51² = c²

2500 + 2601 = c²

5101 = c²

√5101 ≈ 71.42 cm.

Answer 2

Answer: Area of the rectangle = 102.5 cm²  Round to 103 cm²

Step-by-step explanation:

The diagonal is the hypotenuse, c So subtract the square on the base (length) to find the altitude (height).

a² + b² = c²

a² + 50² = 51²

a² = 51² - 50²

a² = 2601 -2500

a² = 101  take the square root of both sides

a = √101

a = 10.04987562  Round to 10.05

Area = LW

Area = 50 × 10.05

Area = 102.5 cm²  Round to 103 cm²


Related Questions

In a survey of 2,800 people who owned a certain type of​ car, 1,540 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

55%

Step-by-step explanation:

Calculation for What percent of the people surveyed were satisfied with the​ car

Percentage of people satisfied=1,540 people/2,800 people

Percentage of people satisfied=0.55*100

Percentage of people satisfied=55%

Therefore the percent of the people surveyed were satisfied with the​ car is 55%

Is 15625/1000000 between -1 and 0??

Answers

Answer:

no

Step-by-step explanation:

It would be like 0.(something) meaning it would be more than 0

Graph the solution to this inequality 4x+5y<20

Answers

Answer:

Everything in red works

Step-by-step explanation:

PLS HELP ME it's due today and I suck at math!!! I'll make Brainliest (also I know it's a bit hard to see) ​

Answers

Answer:

B. 8/10

Step-by-step explanation:

Answer:

The answer is D. 4/13

Step-by-step explanation:

If the measures of two angles of a triangle are 102° and 27°, what is the measure of the third angle?
The measure of the third angle isº

Answers

Step-by-step explanation:

therefore the third angle is 51 degrees

Please hurry, I have to turn this in Today. I’ll be posting more questions on it.

Answers

Answer:

24 cm square

Step-by-step explanation:

Formula: ab/2. ( a* b = leg * leg)

6*8/2. (formula)

48/2 (simplify)

24 cm square ( answer)

Accuracy not garunteed

What is the x intercept of the line below?

Answers

Answer:

i think it is -5

Step-by-step explanation:

-5

Answer:

there is no x-intercept

Explanation:

the line does not cross the x-axis at any point. hoped this helped.

i don’t kno the answer help

Answers

Answer:

Yes

Step-by-step explanation:

It is true because the equation would be 1 is less than or equal to 3-(-4)

A collect call costs $5.99 to connect plus 99 cents per minute. What is the cost of a 6 minute call?​

Answers

Answer:

$11.93

Step-by-step explanation:

You can write an equation to represent this scenario, where x is the number of minutes spent on the call and y is the total cost of the call.

[tex]y=0.99x + 5.99[/tex]

Plug in 6 for x:

[tex]y=0.99(6)+5.99[/tex]

Multiply 6 x 0.99, representing the fact it costs 99 cents per each minute spent on the call:

[tex]y=5.94+5.99[/tex]

Add the sum of the $5.99 cost to connect the call, plus the charge ($5.94) for spending six minutes:

[tex]y=11.93[/tex]

Your answer is $11.93!

In a room of 33 students, 12 are taking geogra-
phy, 14 are taking history, and 5 are taking both
geography and history. How many of these
students are not taking either geography or
history?

Answers

Answer:

2

Step-by-step explanation:

all of those equal 31

Answer:

31

Step-by-step explanation:

Help! Show work! Triangle PQR ≅ Triangle XYZ
PQ = 3a + 4 and XY = 5a – 12. Find a and PQ.

Answers

Answer:

a= 8 and PQ= 28

Step-by-step explanation:

since triangle XYZ and triangle PQR are congruent, we will write the equation like this:

PQ=XY

3a+4= 5a—12

3a—5a= —12—4

—2a= —16

a= 8

SUBSTITUTE THE VALUE OF A IN THE EQUATION TO GET THE VALUE OF PQ

PQ= 3a+4

PQ= 3(8)+4

PQ= 24+4

PQ= 28

The population of an endangered bird was about 230,000 in 2001. The equation y= 200,000(0.75)^x describes the bird la population, let x represent the number of years since 2001. Using the equation, how many birds will there be in 2021?

Answers

Answer:

634

Step-by-step explanation:

The population of the birds in 2001 = 230000

From 2001 to 2021 = 20 years

Given:

y = 200000[tex](0.75)^{x}[/tex]

where x is the number of years since 2001.

The population of the birds after 20 can be determined by;

y = 200000[tex](0.75)^{20}[/tex]

  = 200000(3.171211939 x [tex]10^{-3}[/tex])

  = 634.2424

y = 634

Thus, there would be 634 endangered birds in 2021.

Name
4.
Banl
two
Line m is the perpendicular bisector of AB and
intersects the segment at point P. Which
statement is true?
(A)
© AP = 2 AB
PA & BP
(В)
AB = AP
BP = 2 AB

Answers

Answer:

a)

Step-by-step explanation:

PA ≅ BP

Perpendicular bisector means it divides the line into two equal part at 90°

A: x/8=3/4
B: 2/5=x/40
C: 1/8=x/40
D:x/10=12/15

Answers

I’m assuming you want to figure out what x is in the equation so....

6/8=3/4
2/5=16/40
1/8=5/40
8/10=12/15

I hope this helps.

Two friends, Caleb and Ynez are both selling brownies for a class fundraiser. They decide to advertise how much buying a certain number of brownies will cost in two different ways

Answers

The center number of brownies will cost 4.99

Brianna had 20$ but spent d dollars on ice cream. Write an expression to represent how much Brianna has after buying ice cream​

Answers

Answer:

20-d=y

Step-by-step explanation:

The sum of two numbers is 55. One number is 4 times as large as the other. What are the numbers?
Larger number:
Smaller number:

Answers

Answer:

Larger number: 29.5

Smaller number: 25.5

(1 1/8 + 1/8) - 5/4

A -1
B 0
C 5/8
D 4/5

Answers

9514 1404 393

Answer:

  B  0

Step-by-step explanation:

Converting all of the fractions to eighths, we have ...

  (9/8 +1/8) -10/8

  = 10/8 -10/8

  = 0

Answer: 0

Step-by-step explanation:

You sell bracelets for $2 each and necklaces for $3 each at a local flea market.
You collect $95, selling a total of 37 jewelry items. How many of each type of
jewelry did you sell?

Answers

The answer would be 6

Suzie solves the equation below:
x2 + 4x - 12 = 2
(x - 2)(x + 6) = 2,
by setting x -2 = 0 and x + 6 = 0.
Her solutions are x = 2 and x = -6.
Is Suzie correct? Why or why not?

Answers

Answer:

Suzie's answers are incorrect.

Step-by-step explanation:

x^2+4x-12=2

           +12  +12

x^2+4x=14

(if we put Suzie's answer in for x)-

2^2+4(2)=14

4+8=14

Suzie's first answer is incorrect (4+8=12)

Let's try the next one with Suzie's answer

(-6-2)(-6+6)=2

(-8)(0)=2

This answer is also incorrect. (-8*0=0)

5x + 3y = 5
5x + 7y = 25

Answers

Answer:

(-2,5)

Step-by-step explanation:

Which number line represents the solutions to \X – 5| = 1?

Answers

Answer:

Second number line represents the [X-5]=1.

Step-by-step explanation:

Given : [X-5]=1 .

To find : Which number line represents the solutions to [X-5]=1.

Solution : We have given that [X-5]=1.

We can se the value x-5 is inside the modulus it may be positive or negative.

So, we will do it by both cases.

1) (x - 5) = 1

On adding by 5 both sides.

x = 1+5 = 6

x = 6.

2) if -(x-5) = 1

remove parenthesis

-x +5 = 1

On subtracting by 5 both side

-x = -4

On dividing by -1 both side

x = 4.

So , x = 4, 6.

Therefore , the second number line represents the [X-5]=1.

Which statements are true about the function f(x) = –|x| – 2? Check all that apply.

The parent function and this function open in the same direction.
The parent function and this function have the same range.
The parent function and this function have the same domain.
The range of the function is all real numbers less than or equal to –2.
The domain of the function is all real numbers greater than or equal to –2.
There are no values from the domain of the parent function that are also in the domain of this function.

Answers

Answer:

a c d f

Step-by-step explanation:

Answer:

its (c) and (d)

Step-by-step explanation:

The tip for excellent service in a restaurant is $25 for every $100 of the meal. What is the total bill (cost of meal plus tip) for a $75 meal?

A. $25

B. $93.75

C. $125

D. $100

Answers

the answer is B. 93.75

If x = -1, then which of the following inequalities makes a true statement?
A. -4x + 9 > 20
B. -4x – 5 < -15
C. -3x + 15 ≤ 18
D. -5x – 15 ≤ -22

Answers

Answer:

It is C  

Step-by-step explanation:  

Move all terms that don't contain x to the right side and solve.

Please help ASAP!!
The question is attached ​

Answers

The correct chain is A.

Answer: A

3/4 equals 6/8 and 9/12 and 12/16

Juan deposits $1,500 into a savings account that pays 4.5% interest compounded annually. If Juan makes no deposits or withdrawals, how much money will be in his savings account after 3 years?

Answers

Answer:

$1711.5

Step-by-step explanation:

Step one

given data

Principal = $1500

interest rate= 4.5% = 0.045

time = 3 years

Step two:

The compound interest expression is

[tex]A= P(1+r)^t\\\\A=1500(1+0.045)^3\\\\A=1500(1.045)^3\\\\A=1500*1.141\\\\A=1711.5[/tex]

If 10x +5 = 100, is x greater than 10 or less than 10? Without solving the equation, explain how you
know.

Answers

Answer:

Step-by-step explanation:

X is less than 10 because you have the plus in the equation and so it as to be less than ten so that when you multiply it by 10 it equals less than 100. I don’t know if my explanation makes sense but I hope it helps.

Please help me 10 points for answering questions 3 and 4

Answers

Answer:

yes more points

Step-by-step explanation:

tysm

A farmer wants to fence in a square pasture for his sheep. The length of one side of the pasture is represented by ^2^3. What term represents the area of the pasture?

Answers

Answer:

4x^6

Step-by-step explanation:

Area of the square pasture = L² where:

L is the

length of one side of the pasture

Given

L = 2x³

Area of the pasture = (2x³)²

Area of the pasture =2x³•2x³

Area of the pasture = 4x^{3+3}

Area of the pasture = 4x^6

Hence the area of the pasture is 4x^6

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