Answer:
13.75
Step-by-step explanation:
First you know there are 5 students and 5 teachers, for each student it costs 6.25 and for every teacher it cost 1.50. So 5 teachers x 1.50= 7.5. 5 students x 1.25 =6.25. 7.5 +6.25= 13.75
Answer:
The correct option is C. 126 in²
Step-by-step explanation:
Diameter of the container = 5 inches
⇒ radius of the container = 2.5 inches
Height of the container = 8 inches
To find how much paper is needed to create the label : We need to find the lateral surface area of the cylindrical shaped container
Lateral Surface Area of Cylinder = 2·π × radius × height
= 2 × 3.14 × 2.5 × 8
= 125.66 square inches
≈ 126 square inches
Hence, 126 square inches of paper is needed to create the label.
So, The correct option is C. 126 in²
<span>In triangle XYZ,
angle X=46 degrees,
XZ = 10 units and
YZ=8 units.
We will find the length of XY using cosine rule:
According to cosine rule:
a² = b² + c² - 2bc cosA (the figure is attached)
Here, A = 46 degree.
a = 8 units.
b <span>= ?
</span>c = 10 units.
</span>⇒ b² = c² - a² -2bc cosA
⇒ b² = 100 - 64 - 160*cos(46)
⇒ b² = 100 - 64 - 160*0.69
⇒ b² = 100 - 64 - 110.4
⇒ b² = 100 - 64 - 110.4
⇒ b² = 74.4
or b = 8.62 units.
or b = 8 untis approximately.
Answer:
D 21.80°
Step-by-step explanation:
Let x = measure of the angle
Tan x = 12000/30000 = .4
Arctan .4 = 21.80°
Answer:
48 students in science
Step-by-step explanation:
Let r = students in robots club
s = students in science club
r+s = 84
s = r+12
Substitute the second equation into the first
r+(r+12) = 84
Combine like terms
2r+12 = 84
Subtract 12 from each side
2r = 84-12
2r = 72
Divide by 2
r = 72/2 = 36
We need to find s
s = r+12
s = 36+12
s = 48
There are 48 students in the science club