The diagram below shows the rectangle BOAR B Find the length o fsegment PA . if entering your answer as a decimal, round your fi
nal answer to the nearest hundredth
1 answer:
Answer:
4.62 units
Step-by-step explanation:
Let's first find the length OR.
OR² = BR² + OB²
OR² = 5² + 12²
OR² = 25 + 144
OR² = 169
OR = 13
Let's find the area of triangle OBR.
Using the formula :
½bh
Where
b = BR
h = OB
Therefore, area of triangle OBR =
½ * BR * OB
= ½ * 5 * 12
= 30
From the diagram, triange OBR and OAR are parallel to each other, and they equal.
Thus, area of OBR = area of OAR
To find the length PA, we have :
Area of OAR = ½ * OR *PA
Let's make PA subject of the formula:
PA = 4.618 ≈ 4.62
PA = 4.62 units
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Answer:
Step-by-step explanation:
A 3D figure is given to us and we need to find the Total Surface area of the 3D figure . So ,
From the cuboid we can see that there are 5 squares in one row on the front face . And there are two rows. So the number of squares on the front face will be 5*2 = 10 .
We know the area of square as ,
Hence the area of 10 squares will be 10x² , where x is the side length of each square. Similarly there are 10 squares at the back . Hence their area will be 10x² .
Also there are in total 12 squares sideways 6 on each sides . So their surface area will be 12x² . Hence the total surface area in terms of side of square will be ,
Now let's find out the TSA in terms of side . So here the lenght of the cuboid is equal to the sum of one of the sides of 5 squares .
Hence the TSA of cuboid in terms of lenght and breadth is :-
Taking commen 2 in RHS
p = 2 (L+W )
Divide by 2 on both sides.
p/2 = L+W
Subtract W on both sides.
p/2 - W = L
or L = p/2- W
HOPE IT HELPS YOU
slope m = - 2 → B
calculate m using the ' gradient formula '
m = (y₂ - y₁)/(x₂ - x₁)
choosing 2 'clear ' coordinates from the graph of the line
(x₁, y₁) = (0, 7) and (x₂, y₂) = (7, - 5) =
= - 2
m =