Answer:
Lateral surface area of can = 47 inch² (Approx.)
Step-by-step explanation:
Given:
Diameter of given can = 3 inches
Height of given can = 5 inches
Find:
Lateral surface area of can
Computation:
Radius of can = 3 / 2 = 1.5 inch
Lateral surface area of can = Lateral surface area of cylinder
Lateral surface area of cylinder = 2πrh
Lateral surface area of can = 2πrh
Lateral surface area of can = 2(3.14)(1.5)(5)
Lateral surface area of can = 47.1
Lateral surface area of can = 47 inch² (Approx.)
Answer:
2.8 < x < 5.8
Step-by-step explanation:
We must apply the Triangle Inequality Theorem which states that for any triangle with sides a, b, and c:
a + b > c
b + c > a
c + a > b
Here, let's arbitrarily denote a as 4.1, b as 1.3, and c as x. So, let's plug these values into the 3 inequalities listed above:
a + b > c ⇒ 4.1 + 1.3 > x ⇒ 5.8 > x
b + c > a ⇒ 1.3 + x > 4.1 ⇒ x > 2.8
c + a > b ⇒ x + 4.1 > 1.3 ⇒ x > -2.8
Look at the last two: clearly if x is greater than 2.8 (from the second one), then it will definitely be greater than -2.8 (from the third), so we can just disregard the last inequality.
Thus, the range of possible sizes for x are:
2.8 < x < 5.8
<em>~ an aesthetics lover</em>
Answer:
Step-by-step explanation:
N(17+x)=34x−r
17n+xn=34x-r
xn= 34x - r - 17n
xn-34x= -r - 17n
x(n-34)= -r - 17n
x= (-r - 17n)/(n-34)
Using proportions, the coordinates of point G are given as follows:
(1.8, 1.6).
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The points A and B are given as follows:
A(-3, 4) and B(5,0).
For this problem, we have that the ratio of AG to GB is 3:2, hence:
AG = 3/5AB
G - A = 3/5(B - A).
The x-coordinate of G is found as follows:
x + 3 = 3/5(5 + 3)
x + 3 = 4.8
x = 1.8.
The y-coordinate of G is found as follows:
y - 4 = 3/5(0 - 4)
y - 4 = -2.4
y = 1.6.
Hence the coordinates of point G are given as follows:
(1.8, 1.6).
More can be learned about proportions at brainly.com/question/24372153
#SPJ1
Use guess and check, but u can also use equations
