See the attached figure to better understand the problem
we know that
in the triangle BCD
y²+5.66²=z²-------> y²=z²-5.66²------> equation 1
in the triangle ABC
y²+5.66²=x²-------> y²=x²-5.66²------> equation 2
equals 1 and 2
z²-5.66²=x²-5.66²--------> z²=x²---------> z=x
if z=x then
angle A=45°
angle D=45°
in the triangle ABD
cos 45=z/(5.66*2)-------> z=11.32*cos 45-----> 11.32*√2/2----> 8
z=8
x=8
y²=z²-5.66²------> 8²-5.66²-----> y²=31.96------> y=5.65
the answer isthe value of x is 8the value of z is 8the value of y=5.65
Answer:
6π
Step-by-step explanation:
You have to use the formula for the circumference of a circe:
Circumference = π(diameter)
However, you do not have the diameter, you have the radius.
Diameter = radius * 2
Diameter = 3 * 2
D = 6
Now you can substitute this value back into the Circumference formula:
C = πd
C = 6π
(7) The stadium would need to be filled 11 times. This is because the stadium holds <em>almost</em> 100,000 people, so 10 would not be enough. Of course, 10*100,000 is 1,000,000.
(8)It would take Stacy 6,000 minutes to count to 1,000,000 is she remained at the constant rate. You can find this by dividing 1,000,000 by 1,000 to see how many 1,000s it will take to get to 1,000,000. Then, you can multiply that by 6 since each 1,000 takes 6 minutes. This yields a result of 6,000 minutes.
(9) The manager has exactly enough money to buy 100 cars for a price of 10,000 each. You can find this answer by simply multiplying 100 and 10,000 and seeing that it is less than or equal to 1,000,000.
The ratio of the real sofa is 80:35 (16:7).
The ratio of the model sofa is 16:7
Yes they are equivalent.
(Divide 80:35 by 5 to get it in simplest form.)
Answer:
Step-by-step explanation:
Ok, if they make $36,000 every year, that means the maximum they can spend is $36,000.
If the mortgage is a monthly payment, and there are 12 months in a year, that means we will split the $36,000 over 12 different payments. To do that we will divide the 36,000 by 12
36,000 / 12 = $3,000
That means the most they can spend on mortgage is $3,000 per month.
