Let w=width
L= length
3w+1=l
Perimeter -2(l+w)
2(W+3w+1)=42
Divide both sides by 2
W+3w+1=21
Subtract 1
W+3w=20
Add like terms
4w=20
Divide both sides by 4
W=5
The width is 5 inches
3w+1=l
Input the width into the equation
3(5)+1=l
15+1=l
16=l
The length of the rectangle is 16 inches
The rectangle is 5 x 16 inches
From the information given you have:
1) Smaller diagonal of the kite: 16 inches
2) Larger diagonal of the kite: height of one triangle (h1) + height of the other triangle (h2)
3) Calculation of the height of the smaller triangle, h1:
10^2 = (16/2)^2 + (h1)^2 => h1 = √ [10^2 - 8^2] = 6
4) Calculation of the height of the larger triangle, h2
17^2 = (16/2)^2 + (h2)^2 => h2 = √[17^2 - 8^2] = 15
5) Larger diagonal = h1 + h2 = 6 + 15 = 21
Answer: 21 inches
Answer:
6) a) 15 inches
7) b) 4 cm
The side of the square 4 cm
8) C)
Area of the square = side ×side
Step-by-step explanation:
<u><em> Step(i):-</em></u>
Given that the perimeter of the square is twice the perimeter of the triangle
we know that the perimeter of the square = 4a and
The perimeter of the triangle = a+b+c
Given that the perimeter of the square is twice the perimeter of the triangle
4a = 2( a+b+c)
2a = 11 +9+10
2a = 30
a =15
The side of the square = 15 inches
<u><em>Step(ii):-</em></u>
<em>7) </em>
Given that the area of the square is equal to the area of the rectangle
a² = length × breadth
a² = 8×2 =16
a= √16
a = 4cm
8)
Area of the square = side ×side
Answer:
Final cost = $3070.90
Step-by-step explanation:
First we need to find the discount
Discount = original price * percent off
Discount = 2200 * .15
Discount = 330
Sale price = original price - discount
Sale price = 3200-330
Sale price = 2870
Now we need to calculate tax
Tax = sales price times tax rate
Tax = 2870 * .07
= 200.90
Final price = sales price plus tax
Final price = 2870 + 200.90
3070.90
When I put the right answer it says incorrect
