Identify the perimeter and area of a square with diagonal length 16 cm. Give your answer in simplest
radical form
Answers
Answer:
32r2, 128 cm ^2
The area and the perimeter of the square are 128 cm² and 32√2 cm, respectively.
What is a square?A square is a parallelogram, whose all sides are congruent and all angles are right angle.
Given that, a square with diagonal length 16 cm
Let the side of the square be a,
We know that, all sides of a square are congruent,
And, the diagonal divides it into two congruent right triangles,
Therefore, using Pythagoras theorem,
a²+a² = 16²
2a² = 256
a² = 128
a = 8√2
Area = side²
Therefore, area = 128 cm²
perimeter = 4×sides = 32√2 cm
Hence, the area and the perimeter of the square are 128 cm² and 32√2 cm, respectively.
For more references on squares, click;
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Related Questions
help me please!!!!!!!
Answers
Answer:
A'(-5, 6)B'(-5, 2)C'(-9, 2)D'(-9, 6)Step-by-step explanation:
Rotation 180° about the origin changes the sign of every coordinate. The image coordinates are shown above.
-0.56x+0.26x=6’6
?x=6.6
X=6.6
___
X=??
Answers
-0.3x=6.6
X=6.6/-0.3
X=6.3
Answer:
x = -22
Step-by-step explanation:
Solving in steps:
-0.56x+0.26x=6.6-0.3x = 6.6x = 6.6/(-0.3)x = -22Consider the triangle shown in the diagram
8
60°
75°
Choose 2 reasons why x = 135°
a. The two remote interior angles add up to 135º.
b.
triangle is 180°. Xº = 135° because it is
supplementary to
c.
Therefore x°= 135º.
d. x° and
Answers
Answer:
the 2 are letters a and b
Jennifer is saving money to buy a bike. The bike costs $294. She has $126 saved, and each week she adds
$14 to her savings.
How long will it take her to save enough money to buy the bike?
It will take her
weeks to save for the bike.
Answers
Answer:
the answer should be 12 weeks
Step-by-step explanation:
Because, 294-126=168 and 168 divided by 14 is 12
Answer This Question Correctly For Brainliest (Wrong Answers Will Be Reported!)
Answers
Answer:
see attached
Step-by-step explanation:
Juan is rappelling down a 495-foot cliff at a rate of 6 feet per second. Which equation would represent the height Juan is above the ground, H, after t seconds?
Answers
Answer:
The equation is H = 495 -6t
Step-by-step explanation:
Here, we want to write an equation that will represent the height Juan is above the ground, after t seconds.
The height we want to calculate is H. The initial height is 495 foot;
At the first second, the decrease in height will be 6 * 1, at the second 6 * 2 and thus at t seconds, the decrease in height will be 6 * t = 6t
Ask the height after t seconds will be;
H = 495 - 6t
Where t represents the time in seconds
Tyrone makes a scale drawing of his backyard. The scale from the
backyard to the drawing is 2 ft to 1 in. The width of the patio on the
drawing is 8 in. What is the width of Tyrone's actual patio? Write your
answer as a ratio (FOR EXAMPLE 2:1) NO LETTERS
Answers
Answer:
16:8 is the width of the patio
Which of these is a unit rate? A $25 per 5 hours B 10 kilometers per minute C 35 miles per 4 gallons D 75 yards per 25 dollars
Answers
Answer:
B. 10 km. per minute
Step-by-step explanation:
A unit rate is a ratio that is over 1. 10 km. per minute is describing how many km. in one minute. A unit rate can then be used to predict ratios further in a sequence by multiplying the minutes with the 10 km.
Hope that helps!
Answer:
b
Step-by-step explanation:
If x is not equal to zero, what is the value? show step by step.
Answers
Answer:
2/3
Step-by-step explanation:
Simplify the numerator
(2x) ^3 = 8 x^3
8x^3 * 3x = 24 x^4
Simplify the denominator
(6x^2) ^2 = 36 x^4
Simplify the fraction
24x^4/ 36 x^4 =
24/36 = 2/3
x^4/x^4 =1
The fraction is 2/3 when x does not equal 0
A middle school took all of its 6th grade students on a field trip to see a play at a theatre that has 2000 seats. The students filled 65% of the seats in the theatre. How many 6th graders went on the trip?
Answers
A football team is selling coupon books for $20 each to raise money. The team wants to
raise at least $1500. The team has already sold 45 coupon books. How many additional
ers.
books does the team need to sell to meet its goal?
Answers
Answer:
jumanah75 the answer is 30 more coupon books.
Step-by-step explanation:
20*45 = 900. Need $600 more20* __ = 600600/20 = 30900+600 = 1500. So therfore, the team needs to sell 30 more books :)25 more than 8 times a number is the same as 50 less than the product of -5 and the number.
Answers
Answer:
-5x-50=8x+25 solve that
13x= -75
-5.769
Step-by-step explanation:
My brother ate 4 of the cupcakes my mother just finished baking for her back sale. That was 2/5 of all of them! With how many cupcakes did she start with?
Answers
Answer:
10
Step-by-step explanation:
if 4 cupcakes were 2/5 of what she started out with, i divided 4/2 and got 2 so 2 cupcakes per 1/5, 2*5=10 so 5/5 is the 10 cupcakes
Solve for x in simplest form. 9=1/4 (6x+12)
Answers
Answer:
x=4
Step-by-step explanation:
9=1/4 (6x+12)
Multiply each side by 4
4*9 =4*1/4 (6x+12)
36 = (6x+12)
Subtract 12 from each side
36-12 = 6x+12-12
24 = 6x
Divide each side by 6
24/6 = 6x/6
4 =x
Find the distance between each pair of points (8,5) ,(-1,3)
Answers
Answer:
d=9.220
Step-by-step explanation:
Answer:
sqrt(85)
Step-by-step explanation:
Use the distance formula.
d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
d = sqrt[(-1 - 8)^2 + (3 - 5)^2]
d = sqrt[(-9)^2 + (-2)^2]
d = sqrt[81 + 4]
d = sqrt(85)
Answer: sqrt(85)
f(x) = x^2-3x + 7. find f(-1)
Answers
Answer:
f(x)= x^2-3x+7
(-1)^2-3(-1)+7
1+3+7
11
Step-by-step explanation:
8. Fill in the blank. The ___
form of the equation of a line with a slope
m passing through (x1y1) is y- y1= m(x-x1).
Answers
Write the equation of the circle centered at ( 4 , − 5 ) with radius 18.
Answers
Answer:
(x-4)^2 + (y+5)^2 = 324
Step-by-step explanation:
The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.
Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:
(x-4)^2 + (y+5)^2 = 18^2
(x-4)^2 + (y+5)^2 = 324
What type of number is -1/3
Answers
Answer:
a rational number
Step-by-step explanation:
Rational number are numbers that can be written as a fraction where both the numerator and denominator are integers. This means that both the top and bottom of the fraction are whole numbers.
Which choice could you use to find the distance D between the points shown on the number line
Answers
Answer:
d = |145 − (−235)|
Step-by-step explanation:
PLEASE HELP
what is the max or min value of
2x^2-12 − 14
Answers
Answer:
-22
Step-by-step explanation:
9 x 10' =
______________________
Answers
Answer:
9 x 10 = 90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
9x1=9 then add the zero
=90
It cost Jocelyn $5.60 to send 56 text messages. How much would it cost to send 198
*text messages?
Answers
Answer:
$19.8
Step-by-step explanation:
To find the answer, find the ratio.
Answer: 1980
Step-by-step explanation:
Set yp a proportion
5.60dollars=56texts
---------------- ----------
198dollars= x
Then you cross multiply the 198 with the 56
then you divide the 5.60
One-half of a roll of wallpaper covers 1/10th of a wall. How many rolls of wallpaper are needed to cover half the wall? (a) 2/10 (b) 2 1/12 (c) 5 (d) 10
Answers
Answer:
2 1/2 rolls
Step-by-step explanation:
rolls : walls = (1/2) : (1/10) = ? : (1/2) = 5/2 : 1/2 (multiply by 5, since 1/2 = 5/10)
It takes 5/2 rolls = 2 1/2 rolls to cover half the wall.
Answer:
[tex]2\frac{1}{2}[/tex] rolls of the wallpaper will cover half the wall
The correct option is (b) 2 1/2
Step-by-step explanation:
To determine the number of rolls of wallpaper that are needed to cover half (1/2) the wall,
From the question,
One-half of a roll of wallpaper covers 1/10th of a wall.
Hence, we are to determine the number of rolls of wallpaper that are needed to cover 5/10th of the wall. (NOTE: 5/10th of the wall = 1/2 the wall)
Now,
First, we will find the part of the wall that will be covered by one roll of the wallpaper
If one-half of the roll of wallpaper covers 1/10th of the wall.
Then, one roll (two halves) will cover 2 × 1/10th of the wall
= 1/5th of the wall
Hence one roll will cover 1/5th of the wall
Now, for the number of rolls that will cover half (1/2) the wall
If one roll of the wallpaper covers 1/5th of the wall
Then, [tex]x[/tex] rolls of the wallpaper will cover 1/2 of the wall
[tex]x =\frac{1/2 \times 1}{1/5}[/tex]
[tex]x =\frac{5}{2}[/tex]
[tex]x =2\frac{1}{2}[/tex]
Hence, [tex]2\frac{1}{2}[/tex] rolls of the wallpaper will cover half the wall
I NEED ANSWER ASAP I WILL GIVE BRAINLIEST IF RIGHT
Question 9
3 pts
2
1
3
4
If m_1 equals (4x + 2) and m-3 equals (5x - 15), what is the value of x?
16
0 14
15
17
Answers
Because of the opposite angle Theorem, we make 4x+2 and 5x-15 equal to each other to solve for x.
combining like terms with negative coefficients
2x-4xy+5x-2xy-4x-4y?
Answers
Answer: 3x-6xy-4y
Step-by-step explanation: So, it’s been a few years since I’ve been in high school, but if I remember correctly...it should break down as such...
A good method to breaking this down is to use parentheses to break up the equation.
Example: (2x)(-4xy)(+5x)(-2xy)(-4x)(-4y)
Keep in mind we are only using the parentheses as a breaker and not as multiplication as it can be seen.
So, start with the singular ‘x’ variants. (2x) (+5x) (-4x). 2x+5x is 7x. 7x-4x is 3x. Now, move onto ‘xy’ variant. (-4xy) and (-2xy). As these are both negative, they add together to make an even lower number...being -6xy. Onto the final step taking the singular ‘y’ variant. There’s only 1 ‘y’ variant so it just stays -4y.
In the end, you end up with 3x-6xy-4y. :) Hope this helps. If you have any more questions, let me know!
What is the sum of -5 and -5?
Answers
the time is 10 ; 34 what time will it be in 285 minutes
Answers
HELPP MEEE IO PRAY THE LORD FOR SOMEONE TO HELPP
Answers
Step-by-step explanation:
...idk hope this one helps
Given f (x) = 2x+1, find when f (x) = 9
Answers
Steps to solve:
f(x) = 2x + 1
~Substitute
f(9) = 2(9) + 1
~Multiply
f(9) = 18 + 1
~Add
f(9) = 19
Best of Luck!
Answer:
19
Step-by-step explanation:
substitute 9 in x and you get 18 then add 1 so total u get 19
Hope that helps :)