Answer:
14units
Step-by-step explanation:
Let the vertices of a rectangle be A(3, 1), B(3, 5), C(6, 5), and D(6, 1).
Using the formula for calculating distance between two points;
AB =√(5-1)²+(3-3)²
AB = √4²
AB = 4
BC = √(5-5)²+(6-3)²
BC = √3²
BC =>3
CD = √(1-5)²+(6-6)²
CD = √(-4)²
CD = √16
CD = 4
AD= √(1-1)²+(6-3)²
AD = √3²
AD = √9
AD =3
Perimeter of the rectangle = AB+BC+BD+AD
Perimeter of the rectangle = 4+3+4+3
Perimeter of the rectangle = 14units
Answer:
<u>A. 83</u> is the correct option.
Step-by-step explanation:
all angles of a triangle are always equal to 180.
46 + 51 + y = 180
97 + y = 180
180 - 97 = <u>83</u>
Have a nice day! :-)
Answer:
The slope is -7/4
Step-by-step explanation:
∵ 7x + 4y = 10
∵ y = mx + c ⇒ where m is the slope of the line
∴ Re-arrange the equation
∴ 4y = 10 - 7x ⇒ ÷4
∴ y = 10/4 - (7/4) x
∴ y = 5/2 - (7/4) x
∴ The slope is -7/4
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Answer:
x = 65.03°
Step-by-step explanation:
To solve for x, we have to apply trigonometric ratio.
Recall: SOH CAH TOA
From the diagram, we know the following:
Reference angle = x
Hypotenuse = 45
Adjacent = 19
Since we know the Hyp and Adj, we would apply CAH, which is:
Cos x = Adj/Hyp
Plug in the values
x = 65.0250346°
x = 65.03° (nearest hundredth)
