Answer:
• From trigonometric ratios:
→ theta is 41°
→ opposite is y
→ hypotenuse is 26 ft
Answer:
239 ft².
Step-by-step explanation:
Let P represent the price for tiling.
Let S represent the size of the room.
From the question,
Price (P) varies directly as the size (S) i.e
P & S
P = KS
Where K is the constant of proportionality.
Next, we shall determine the value of K as follow
Price (P) = $ 4224
Size (S) = 264 ft²
Constant of proportionality (K) =?
P = KS
4224 = K × 264
Divide both side by 264
K = 4224/264
K = 16
Finally, we shall determine the size of the kitchen that will cost $ 3824 for tiling.
This is illustrated below:
Price (P) = $ 3824
Constant of proportionality (K) = 16
Size (S) =?
P = KS
3824 = 16 × S
Divide both side by 16
S = 3824/16
S = 239 ft²
Therefore, the size of the kitchen is 239 ft².
Answer:
<h2>6</h2>
Step-by-step explanation:
f(x)=-x+4
f(-2)=-(-2)+4
f(-2)=+2+4
f(-2)=6
Answer:
E.200.5ft²
Step-by-step explanation:
To find the area of the composite figure we simply split it into two regular shapes, a half circle and a square, we then find the area of the two shapes individually and add them together.
Area of square = s² where s = side length
It appears the given side length is 12 so s = 12
Which means area = 12² = 144ft²
For semi circle
Area = 1/2(πr² ), where r is the radius
The side length of the square is shared with the diameter of the semi circle meaning that the diameter of the semi circle is 12
To convert to radius from diameter we simply divide by 2 so r = 12/2 = 6
We have area = 1/2(πr² ) and r = 6
So area = 1/2(π6²)
==> evaluate exponent
Area = 1/2(36π)
==> take one half of 36
Area = 18π
==> multiply 18 and π
Area = about 56.5
Finally we add the two areas together
Total area = 56.5 + 144 = 200.5ft²
Each of the first 3 letters can be chosen from the 23 letters, {A, B, C, …, U, V, W}, so there are 23³ possible choices.
The first 2 digits can be any number from {0, 1, 2, …, 9}, so there are 10² choices.
The last digit cannot be 0 or 9, so you can select from {1, 2, 3, …, 8} which gives 8 choices.
Then the total number of PINs that you can make is
23³ × 10² × 8 = 9,733,600
