Answer:
80 cm
Step-by-step explanation:
The diagonals divide the rhombus into four congruent triangles. The height of each triangle is 18/2 = 9, and the hypotenuse is 41. Using Pythagorean theorem, the width of each triangle is:
c² = a² + b²
41² = 9² + x²
x = 40
Therefore, the longer diagonal is 2×40 = 80.
Answer:
(6)(2)+
(12)(2)
4
=18
Step-by-step explanation:
Answer:
Exponential growth of 7%
Step-by-step explanation:
We are given the function:
A function is shown: f(x) = (1.07)^x
We can compare this to a formula of Exponential Growth
y = a(1 + r)^x
Hence:
1 + r = 1.07
r = 1.07 - 1
r = 0.07
Converting to percy
0.07 × 100
= 7%
Therefore, the function represents Exponential growth of 7%
Answer:
23/25 when reduced to the simplest form.
Step-by-step explanation:
write down the number as a fraction of one
0.92 = 0.92/1
so we multiply both numerator and denominator by 100
Then 0.92/1 = ( 0.92x100) / ( 1x100)
= 92/100
Now reduce the numerator and denominator by GCD between in this case
GCD ( 92,100) = 4
so, 92/ 4
100/ 4
=23/25
