Answer:
(A)
Step-by-step explanation:
GIVEN: The sides of a quadrilateral are and .
TO FIND: Find the length of the shortest side of a similar quadrilateral whose area is times as great.
SOLUTION:
let the height of smaller quadrilateral be
As both quadrilateral are similar,
let the length of larger quadrilateral are times of smaller.
sides of large quadrilateral are
height of large quadrilateral
Area of lager quadrilateral
Area of smaller quadrilateral
as the larger quadrilateral is times as great
shortest side
Hence the shortest side of larger quadrilateral is , option (A) is correct.
Let the volume, as a function of time t, be v:
v(t) = 5 + 2t
v(t) = 5 + 2t
The mathematical model is v(t) = 5 + 2t
Answer:
Given that the triangular prism has a base that is a right triangle.The height of the triangular prism is 10 cm.The side lengths of the triangle are 4.3 cm, 5.2 cm and 6.75 cm.We need to determine the surface area of the triangular prism.
Step-by-step explanation: The surface area of the triangular prism can be determined using the formula,where b is the base and h is the height of the triangle.s₁, s₂, s₃ are the side lengths of the triangle andH is the height of the prism.Substituting b = 5.2, h = 4.3, s₁ = 5.2, s₂ = 4.3, s₃ = 6.75 and H = 10 in the above formula, we get SA=(5.2)(4.3)+(5.2+4.3+6.75)(10)
SA=22.36+(16.25)(10)
SA=22.36+162.5
SA=184.86 cm 2Thus, the surface area of the triangular prism is 184.86 square cm.
Slope = 6/-2 = -3
b = 6
equation
y = -3x + 6
hope it helps
The value of p and q is 2 , -8 , The nth term of the series is given by 3 * n² + n-2 , the 40th term is 4838 .
<h3>What is a quadratic Sequence ?</h3>
A sequence which has n term in its sequence , The difference of the consecutive number is not same , its second difference is same.
The sequence is given as 7; p; -3;q;...
for a linear pattern
7-p = p- (-3) = -3-q
2p = 4
p = 2
and
2+3 = -3 -q
5 +3 = -q
q = -8
The value of p and q is 2 , -8
A quadratic sequence is defined as 2; 12; 28; 50
The next two terms are 77 and 112.
3. The T40 of the sequence is
The nth term of the series is given by
3 * n² + n-2
therefore 40th term is
3 *40² + 40-2
3 *1600 +38
4838
Therefore the 40th term is 4838 .
To know more about Quadratic Sequence
brainly.com/question/22412845
#SPJ1