Find the perimeter of the square that has a diagonal of 32 centimeters. *No image included*
Answers
if we drwa the diagonal, we cut the squre into 2 right triangles with legs equal measure
pythagorean theorem
for a right triangle with legs legnth a and b, and hypotnuse legnth c
a^2+b^2=c^2
since square, a=b
a^2+a^2=c^2
2a^2=c^2
diagonal=hypotnuse=32
2a^2=32^2
2a^2=1024
divide both sides by 2
a^2=512
sqrt both sides
a=16√2
the perimiter is 4 times one side
side=a=16√2
4 times 16√2=64√2
permiter is 64√2 cm
Related Questions
What number goes into 51 and 9 evenly
Mathilde has 20 pints of green paint. She uses 2/5 of it to paint a landscape and 3\10 of it while painting a clover. She decides that for her next painting she will need 14 pints of green paint. How much more paint will she need to buy?
The 1 in 425.1 has a value times the value of the 1 in 7.51
The sum of eight times a number and fifteen is seven
Answers
r = 2m + 3
r + m = 15
(b) The easiest way to solve this equation would be to use substitution. The first equation says that r is equal to "2m + 3", so we can plug 2m + 3 in for the r in the second equation, and then solve for m:
Now that we have m, we can plug it into one of the equations to find r:
So, the weight of Rajesh's package is 11 pounds, and the weight of Mohib's package is 4 pounds. This makes sense because both of these add up to 15 and Rajesh's package is three more than two times the weight of Mohib's package, as described in the question.
(c) Mohib's graph is the correct graph because it intersects at the correct point (4 on the Mohib axis and 11 on the Rajesh axis). The other graph shows the intersection of the two lines at the wrong point, giving the wrong weights of the two packages.
A.
8
B.
8.5
C.
9
D.
10
Answers
Answer: Option 'C' is correct.
Step-by-step explanation:
Since we have given that
Total number of pea pods = 500
Number of pea pods selected = 18
She opened each and counted the number of peas in the pod.
So, we can see from the graph, that
And we know that Mode is the most occurring outcome among the total.
6 peas in 1 bag.
7 peas in 3 bags
8 peas in 5 bags
9 peas in 6 bags
10 peas in 3 bags
There are 9 peas in the 6 bags is the most occurring part.
So, Estimated mode of the number of peas to be found in all the pea pods is 9.
Hence, Option 'C' is correct.
Answer: The answer is C. 9
Step-by-step explanation: The mode is the number that shows up the most
Answers
Brackets mean inclusive
If your number is x --->
-3 ≤ x ≤ 3
Answers
Answer:
C=2πr
Step-by-step explanation:
The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle.
If a circle has a diameter of 4, its circumference is 3.14*4=12.56.
If you know the radius, the diameter is twice as large.
Answer:
the formula is C = 2(pi)r
y = 3.4x + 43
According to the model, how many more pizzas are sold for each additional coupon issued?
1 pizzas
3.4 pizzas
4.3 pizzas
43 pizzas
46 pizza
Answers
Answer:
B. 3.4 pizzas.
Step-by-step explanation:
We have been given a scatter plot, which represents the number of pizzas (y) sold during weeks when different numbers of coupons (x) were issued. The equation represents the linear model for this data:
We can see that our given equation is in form of slope intercept form: , where m= slope of line and b = y-intercept.
We can see from our given equation that y-intercept is 43, when no coupons were issued, there were 43 pizzas sold. 43 is constant and it will not change by any change in x.
The slope of our line is 3.4, which represents change in number of pizzas with respect to change in number of coupons issued. Therefore, 3.4 more pizzas are sold for additional coupon issued and option B is the correct choice.
Answer: B. 3.4
Step-by-step explanation:
We have been given a scatter plot, which represents the number of pizzas (y) sold during weeks when different numbers of coupons (x) were issued. The equation represents the linear model for this data:
We can see that our given equation is in form of slope intercept form: , where m= slope of line and b = y-intercept.
We can see from our given equation that y-intercept is 43, when no coupons were issued, there were 43 pizzas sold. 43 is constant and it will not change by any change in x.
The slope of our line is 3.4, which represents change in number of pizzas with respect to change in number of coupons issued. Therefore, 3.4 more pizzas are sold for additional coupon issued and option B is the correct choice.
Answers
Answer:
should just be 30°
Step-by-step explanation:
so think about how a clock work (in direction) once you got that, also know that it moves at 30 degrees increments. another thing to know is that this ' sign basicly means after it is moved in angle degrees if that makes it easier to imderstand
Answer:
30 degrees is your correct answer.
Step-by-step explanation: