Answer: A, B, D, E
Arc PQ is congruent to arc SR.
The measure of arc QR is 150°
Arc PS measures about 13.1 cm.
Arc QS measures about 15.7 cm.
Step-by-step explanation:
Answer:
x = y = 22
Step-by-step explanation:
It would help to know your math course. Do you know any calculus? I'll assume not.
Equations
x + y = 44
Max = xy
Solution
y = 44 - x
Max = x (44 - x) Remove the brackets
Max = 44x - x^2 Use the distributive property to take out - 1 on the right.
Max = - (x^2 - 44x ) Complete the square inside the brackets.
Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.
Max = -(x - 22)^2 + 484
The maximum occurs when x = 22. That's because - (x - 22) becomes 0.
If it is not zero it will be minus and that will subtract from 484
x + y = 44
xy = 484
When you solve this, you find that x = y = 22 If you need more detail, let me know.
Answer:
The length of the edge of the cube = 4 inches
Step-by-step explanation:
* Lets describe the cube
- It has 6 faces all of them are squares
- It has 8 vertices
- It has 12 equal edges
∵ The volume of any formal solid = area of the base × height
∵ The base of the cube is a square
∴ Area base = L × L = L² ⇒ L is the length of the edge of it
∵ All edges are equal in length
∴ Its height = L
∴ The volume of the cube = L² × L = L³
* Now we have the volume and we want to find the
length of the edges
∵ Its volume = 64 inches³
∴ 64 = L³
* Take cube root to the both sides
∴ ∛64 = ∛(L³)
∴ L = 4 inches
* The length of the edge of the cube = 4 inches
Answer:
In Δ CFD , CD is the LONGEST side.
Step-by-step explanation:
Here, the given Δ CSD is a RIGHT ANGLED TRIANGLE.
Now, as we know in a right triangle, HYPOTENUSE IS THE LONGEST SIDE.
So, in Δ CSD SD is the longest side as SD = Hypotenuse.
Now, an altitude CF is drawn to hypotenuse SD.
⇒ CF ⊥ SD
⇒ Δ CFD is a RIGHT ANGLED TRIANGLE with ∠ F = 90°
and CD as a hypotenuse.
⇒ In Δ CFD , CD is the LONGEST side.
Hence, CD is the longest side in the given triangle CFD.
