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
Answer:
Eve used scale as 2 yards is equal to 1 inch.
Step-by-step explanation:
Given:
Actual Picnic area = 68 yards.
Drawing Picnic area = 34 inches.
We need to find the scale used by Eve.
Solution:
Now we can say that;
scale used by Eve can be calculated by dividing Actual Picnic area from drawing picnic area.
framing in equation form we get;
scale used by Eve = 
Hence Eve used scale as 2 yards is equal to 1 inch.
Answer:
Period=6
Step-by-step explanation:
Given:
t=1cos(1.05h)+37
Using acos(bx-c)+d to find the period of the given function
amplitude= a
period= 2π/Bb
phase shift=c (positive is to the left)
vertical shift=d
comparing with t=1cos(1.05h)+37, we get
a=1
b=1.05
c=0
d=37
period= 2π/b
=2π/1.05
=5.983
=6
Period of function is 6, after every 6 hours the refrigerator sensor will reach its maximum temperature and the cycle will move towards reducing temperature i.e it'll reach the minimum temperature then again the cycle will move upwards raising the temperature to maximum and so one period will be completed!
3)The original rational number was 17/12.
4)The age of Ruby and Reshma are 20 and 28 years respectively.
Explanation:
3)Let the numerator be x.
So denominator will be (x - 5)
If we add 5 to numberator then it will be (x + 5)
New number is (x + 5)/(x - 5)=11/6
Solve for X by cross multiplying
6(x + 5)=11(x - 5)
6x + 30=11x - 55
5x=85
x=17
So original rational number was 17/12.
4)The ages of Ruby and Reshma are in the ratio 5:7
So, let the present ages of Ruby and Reshma be 5x and 7x respectively.
Also, it is given that four years from now the ratio of their ages will be 3:4
So, the equation - 5x + 4 / 7x + 3 = 3/4
⇒4(5x+4)=3(7x+4)
⇒20x+16=21x+12
⇒21x−20x=16−12
⇒x=4
⇒5x=20 and 7x=28
The age of Ruby and Reshma are 20 and 28 years respectively.