Answer:
x = 11/2
Step-by-step explanation:
1. The shape of cross-section is a circle.
2. The face parallel to ABCD is EFGH. Since this is a a rectangular shape,
A = L*H = 12*6 = 72 cm^2
3. The cross-section parallel to ABC is DEF with h = 12 ft, b= 5ft (where h is the height and b is the base of a right angled triangle).
Area, A = 1/2 *b*h = 1/2*5*12 =30 ft^2
4. Plane BDHF is a rectangle shape whose length is the diagonal of ABCD.
Diagonal BD = sqrt (AB^2+BD^2) = sqrt (8^2+7^2) = 10.63 cm.
Perimeter, P = 2(BD+DH) = 2(10.63+6) = 33.26 cm
Yes, real numbers are always rational numbers
Pythagorean Theorem is:
c² = a² + b²
Let’s find the values of a and b.
Looking at the image provided in the question we have 2 number already, 70 and 120.
Let’s name the side with length 120 as a, and the side with length 70 as b.
Then we should substitute these values into the Pythagorean Theorem:
c² = 120² + 70²
c² = 14400 + 4900
c² = 19300
Then we should work out the value of c by square rooting both sides:
√c = √19300
c = 138.92444
Therefore the ball would have to be hit a total of 138.92444 units.
If you have to round, that would be 139 units.
Answer:
Step-by-step explanation:So we know x + y = 21 and 5x +10y = 165 We line them up in columns x + y = 21 5x +10y = 165 To eliminate the x variable, I'll multiply every element in the 1st equation by -5. -5x + -5y = -105 5x + 10y = 165 Now we combine (add) the equations, which eliminates x altogether. 5y = 60 ... y = 12 From there, x + 12 = 21 ... x = 21-12 ... x = 9 You should double check. Do 9 nickles and 12 dimes equal $1.65? A very important thing to remember using this method is to do the same thing to each element in the equation that you change! I hope that helps.
