<u>Given</u><u> info</u><u>:</u><u>-</u>
Aryan wants to plant a flower on the ground in the form of a rhombus.The diagonals of the rhombus measures 42 cm and 56 cm.
Find the perimeter of the field ?
<u>Explanation</u><u>:</u><u>-</u>
Given that
rhombus.The diagonals of the rhombus measures 42 cm and 56 cm.
Let consider a rhombus ABCD
Let AC = (d1) = 42 cm
Let BD = (d2) = 56 cm
We know that
The digonals of a rhombus bisects each other at 90°.
AC = AO+OC
⇛ AC = 2 AO = 2 OC
⇛ AO = OC = AC/2
⇛ AO = OC = 42/2 = 21 cm
and
BD = BO+OD
⇛ BD = 2 BO = 2 OD
⇛ BO = OD = BD/2
⇛ BO = OD = 56/2 = 28 cm
We have,
∆AOB is a right angled triangle
By Pythagoras theorem,
AB² = AO²+OB²
⇛ AB² = 21²+28²
⇛ AB² = 441+784
⇛ AB² = 1225
⇛ AB = ±√1225
⇛ AB = ±35
AB is the length of the side which cannot be negative.
AB = 35 cm
We know that
All sides are equal in a rhombus
⇛ AB = BC = CD = DA
As we know
The Perimeter of a rhombus = 4×Side units
The perimeter of the rhombus ABCD
⇛ 4AB = 4BC = 4CD = 4DA
⇛ 4×35 cm
⇛ Perimeter = 140 cm
<em>∴</em><em> </em><em>T</em><em>he perimeter of the given field is 140 cm.</em>
Answer:

Step-by-step explanation:
(g o h)(5) = g(h(5))
h(5) = 5-7
plug in h(5) where you have x.
g(h(5)) = 
Answer:
Luke = 0.75
Owen = 0.04
Jacob = 2.9
Step-by-step explanation:
A model = 100 small squares
100 small squares = 1
Luke shades three fourths of one model.
Luke = 3/4 of 1 model
= 3/4 × 1
= 0.75
Owen shades four small squares of one model.
Owen = 4/100
= 0.04
Jacob shades two full models and nine tenths of another model
Jacob = 2 + 9/10
= 2 + 0.9
= 2.9
Luke = 0.75
Owen = 0.04
Jacob = 2.9
Answer:
The answer to your question is 4.5
Step-by-step explanation:
Data
hypotenuse = h = 6
angle = α = 42°
adjacent side = DE
Process
Use trigonometric functions to solve this problem
1.- The trigonometric function that relates the adjacent side and the hypotenuse is cosine
Cosα = 
Solve for adjacent side = DE
DE = hypotenuse x cos α
Substitution
DE = 6 x cos 42
Simplification
DE = 6(0.74)
Result
DE = 4.5
Answer:
34496
Step-by-step explanation:
i dont know how 2 explain this but you have to do the traditional way of multiplying PLS MARK BRAINLIEST