From the solution of the expression, it can be seen that s = 6 when t = 3 while t = 1 when s = 2.
<h3>How do we solve a mathematical expression?</h3>
Given:
(12t) = (6s) ........................ (1)
When t = 3, we can solve for s from the expression in equation (1) by substituting t = 3 into the equation as follows:
12 * 3 = 6s
36 = 6s
s = 36 / 6
s = 6
When s = 2, we can solve for t from the expression in equation (1) by substituting s = 2 into the equation as follows:
12t = 6 * 2
12t = 12
t = 12 / 12
t = 1
Learn more about mathematical expression here: brainly.com/question/12401681.
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Answer:
V = 408 cm cubed
SA = 558 cm squared
Step-by-step explanation:
To find the volume of a prism, multiply the area of the base by the height. This is 1/2 times width times height times length.
V =1/2 l*w*h =1/2* 6*8*17 = 408
To find the surface area of a prism, find the area of the triangular base and the area of each rectangular side.
Area of the base is A = 1/2 * b*h = 1/2 * 6 * 8 = 24. Since there are 2 bases, the area is 48.
Area of the rectangular side is A = b*h = 17*10 = 170. Since there are three, the area is 3*170 = 510.
The surface area of the prism is 48 + 510 = 558.
Answer:
269.6 square centimeters
Step-by-step explanation:
<u><em>The correct question is</em></u>
The diagram shows the net of a juice box. the box is a rectangular prism. what is the surface area of the juice box? 6.4 cm 4 cm 10.5 cm
we know that
The surface area of a rectangular prism is equal to
where
B is the area of the base
P is the perimeter of the base
H is the height of the prism
we have
<em>Find the area of the base B</em>
substitute the given values
<em>Find the perimeter of the base P</em>
substitute the given values
<em>Find the surface area</em>
substitute
Answer:
The distance from the top of her head to the floor is 6 feet 2 inches.
Step-by-step explanation:
In his case Juana's height is given to us with two kinds of units, feet and inches, in order to make our solution easyer we will transform her height to only inches. In 1 feet we have 12 inches, so we need to take the part of her height that is given in feet and multiply it by 12. We have:
height = 4*12 + 8 = 56 inches
Since she is in a platform that is 18 inches tall the distance from the top of her head to the floor is her height plus the height of the platform. We have:
distance = height + platform = 56 + 18 = 74 inches
We can now transform back to a mixed unit, we do that by dividing the distance by 12 that will be the "feet" part and the res of the division will be the "inches" part. We have:
distance = 74/12 = 6 feet 2 inches
The distance from the top of her head to the floor is 6 feet 2 inches.
Answer: x<-8
Step-by-step explanation:
