A
see attached for explanation
I hope it helps
This question is essentially asking you to find the surface area of the box.
The formula for SA on a rectangular prism is: 2(L*W+L*H+W*H)
L=Length W=Width H=Height
Lets input the information we know:
2(20*8+20*30+8*30)
Follow BEDMAS
2(160+600+240)
2(760+240)
2(1000)
2*1000
=2000
The box will need 2000 centimeters squared of material.
Hope this helps!
-Benjamin
3 buses x 42 = 126... So the final bus will carry 155-126=29 students.... Mental Math.
What we know so far:
Side 1 = 55m
Side 2 = 65m
Angle 1 = 40°
Angle 2 = 30°
What we are looking for:
Toby's Angle = ?
The distance x = ?
We need to look for Toby's angle so that we can solve for the distance x by assuming that the whole figure is a SAS (Side Angle Side) triangle.
Solving for Toby's Angle:
We know for a fact that the sum of all the angles of a triangle is 180°; therefore,
180° - (Side 1 + Side 2) = Toby's Angle
Toby's Angle = 180° - (40° + 30°)
Toby's Angle = 110°
Since we already have Toby's angle, we can now solve for the distance x by using the law of cosines r² = p²+ q²<span>− 2pq cos R where r is x, p is Side1, q is Side2, and R is Toby's Angle.
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x² = Side1² + Side2² - 2[(Side1)(Side2)] cos(Toby's Angle)
x² = 55² + 65² - 2[(55)(65)] cos(110°)
x² = 3025 + 4225 -7150[cos(110°)]
x² = 7250 - 2445.44
x = √4804.56
x = 69.31m
∴The distance, x, between two landmarks is 69.31m
Answer:
The answer is B
Step-by-step explanation:
To find the area of a parallelogram you need to multiply base by height
In this problem the base is 67 square ft and the height is 52 square feet 67 times 52 = 3484