Answer: D.
Step-by-step explanation:
In the given figure, we have an obtuse triangle which has sides a, b, and c, and the angle opposite the side of length b is obtuse.
∵ In a triangle, the side opposite to the largest angle is largest.
Thus, the largest side in then given obtuse triangle= c
The Pythagorean inequalities theorem says that If a triangle is obtuse than the square of the largest side is greater than the sum of square of other two sides.
Therefore, we have
Hey Jinx :)
------------------------------------------------
Note that a decay has a rate between 0 and 1, and a growth as a rate of 1 or higher.
y = 1/2(1 + 0.03)^t → y = 1/2(1.03)^t (Rate is more then 0) GROWTH
y = 0.3(0.95)^t → (Rate is between 0 and 1) DECAY
y = ((1+0.03)^1/2)^2t → y = y = 1.014^2t (Rate is more then 0) GROWTH
y = 200(0.73)^t → (Rate is between 0 and 1) DECAY
y = 4(1/4)^t → (Rate is between 0 and 1) DECAY
------------------------------------------------
Hope This Helped! Good Luck!
Answer:
946.242 milliliters
Step-by-step explanation:
The client drank 6 ounces of orange juice and 4 ounces of coffee for breakfast. We need to convert ounces to milliliters
1 ounce = 29.574 milliliters
6 ounces of orange juice
= 6 × 29.574 = 177.444 milliliters
4 ounces of coffee = 4 × 29.574 = 118.296 milliliters
For lunch, he consumed 8 ounces of tea and 6 ounces of ginger ale.
8 ounces of tea = 8 × 29.574 =236.529 milliliters
6 ounces of ginger ale = 6 × 29.574 =177.444 milliliters
4 ounces of water at 10:00 a.m. and at 2:00 p.m. this means 8 ounces of water.
8 ounces of water = 8 × 29.574 =236.529 milliliters
Total consumption by the client =
177.444 + 118.296 + 236.529 + 236.529= 946.242 milliliters
Answer:
The second option, 1,008 cm²
Step-by-step explanation:
This shape has 5 sides to solve for with reguards to surface area.
Let us solve for them all.
[1 & 2 - the triangles]
12 * 9 = 108 cm²
-> I am not going to divide since we have 2 congruent triangles
[3 - the bottom side]
25 * 12 = 300 cm²
[4 - the side facing away]
25 * 9 = 225 cm²
[5 - the side facing up]
25 * 15 = 375 cm²
Now we will add them together for the total.
108 + 300 + 225 + 375 = 1,008 cm²
The surface area for the triangular prism shown is 1,008 cm².
