Answer:
51 cubic feet
Step-by-step explanation:
This is basically a rectangular prism + pyramid.
Volume of rectangular prism = length * width * height
Volume of square pyramid = 1/3 * area of base * height
The rectangular prism's dimensions are 3 x 3 x 5 , so volume = 3*3*5 = 45
The pyramid's base is a square with side 3, so area of base = 3 * 3 = 9
The height is 2, we find the volume using the formula stated above as:
1/3 * 9 * 2 = 6
Volume of Playhouse = volume of rectangular prism + volume of pyramid
Volume of Playhouse = 45 + 6 = 51 cubic feet
Answer:
f(22) then a is minutes =22 min and f(22)= percentage
Answer:
Step-by-step explanation:
6x-3y+10=0 ⇒-3y=-6y-10 ⇒ y=-6x/-3 -10/-3⇒ y=2x+10/3
2x -y +9 =0 ⇒ -y=-2x-9 ⇒y=2x+9
<h2>y=2x+10/3</h2><h2>y=2x+9</h2><h2 /><h2 />
Answer:
14. 14.86 (simple subtraction)
15. 4 dollars (156/39 = 4)
18. 49 (36,39,44,48,50,50,54,55 so mean of 48 and 50 is 49)
19.14 (3.5/0.25)
20. A(understanding question contex)
25. 3a + 3b or C (add all the a's and b's together)
26. 5 (Divide apples by 3)
28.C(multiply all the sides together)
29. A (12/7 is fraction form of 12 : 7)
30. C (rate is 20 so 6 * 20 = 120)
31. D
Hoped this helped, this took a while to do :)
Answer:
6.0 units
Step-by-step explanation:
Since this is a right angled triangle, one of the trigonometric ratios will be used to find the value of y. Since the hypotenuse is 10 units, and the base and the perpendicular is unknown, therefore tangent ratio will not be used. Taking the critical angle to be 53 degrees, y becomes the base of the triangle. Therefore, cosine ratio will be used.
cos θ = Base/Hypotenuse.
cos 53 = y/10
y = 10*cos 53.
y = 6.0 units (correct to the nearest tenth).
Therefore, the side y measures 6.0 units!!!
