Answer:
Step-by-step explanation:
Unit rate = $32/(5 pounds) = $6.40/pound
[You can convert that to smaller units:
$6.40/pound × (1 pound)/(16 ounces) = $0.40/ounce]
:::::
Cost = (number of pounds) × $6.40/pound
:::::
12 pounds × $6.40/pound = $76.80
Answer:
Two possible lengths for the legs A and B are:
B = 1cm
A = 14.97cm
Or:
B = 9cm
A = 12cm
Step-by-step explanation:
For a triangle rectangle, Pythagorean's theorem says that the sum of the squares of the cathetus is equal to the hypotenuse squared.
Then if the two legs of the triangle are A and B, and the hypotenuse is H, we have:
A^2 + B^2 = H^2
If we know that H = 15cm, then:
A^2 + B^2 = (15cm)^2
Now, let's isolate one of the legs:
A = √( (15cm)^2 - B^2)
Now we can just input different values of B there, and then solve the value for the other leg.
Then if we have:
B = 1cm
A = √( (15cm)^2 - (1cm)^2) = 14.97
Then we could have:
B = 1cm
A = 14.97cm
Now let's try with another value of B:
if B = 9cm, then:
A = √( (15cm)^2 - (9cm)^2) = 12 cm
Then we could have:
B = 9cm
A = 12cm
So we just found two possible lengths for the two legs of the triangle.
The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.
<h3>What is the Length of an Arc?</h3>
The length of an arc is given by the formula,

where
θ is the angle, which arc creates at the centre of the circle in degree.
The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° can be written as


Hence, the length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.
Learn more about Lenght of the Arc:
brainly.com/question/1577784
Answer:
Step-by-step explanation:
x(x-2y)-(y-x)2
Final result :
-y2
Step by step solution :
Step 1 :
Equation at the end of step 1 :
x • (x - 2y) - (y - x)2
Step 2 :
2.1 Evaluate : (y-x)2 = y2-2xy+x2
Final result :
-y2
Answer:
f(x) = 150-25x
Step-by-step explanation:
200-50=150.
Take the 150 and insert it there.
Each lesson is $25, so you multiply 25 by 2 every lesson. Example= 150-25=125-25=100-75 and so on.