Answer:
32 and 40
Step-by-step explanation:
Let's call the smaller number x. If the smaller number is x, the equation for this problem is 2x + 8 = 72
Equation:
2x + 8 = 72
2x = 64
x = 32
So now we know the smaller number is 32, so now add 8 and we get 40.
Therefore the 2 numbers are 32 and 40
1.) Number of Total Shirts = 220
In Figure 1, Red boxes represent "<span>short sleeve shirts" which is 7 in number whereas Blue boxes represent "long sleeve shirts".
1 box contains = 220/10 = 22 shirts
Number of short sleeves = 22 * 7 = 154
<span>
In short, Your Final Answer would be: 154 </span></span>2.) Number of Total Subscribers = 260
In Figure 1, Red boxes represent "<span>regular subscribers" which is 10 in number whereas Blue boxes represent "premium subscribers".
1 box contains = 260/13 = 20 subscribers.
Regular subscribers = 20 * 10 = 200
<span>
In short, Your Final Answer would be: 200</span></span>
3.) Number of Total People = 360
In Figure 1, Red boxes represent "<span>Males" which is 3 in number whereas Blue boxes represent "females".
1 box contains = 360/12 = 30 people
Number of males: = 30 * 3 = 90
<span>
In short, Your Final Answer would be: 90
Hope this helps!</span></span>
Answer:
1. H = 29 cm
2. θ = 44°
Step-by-step explanation:
1. We can find the height of the triangle by considering the isosceles triangle as two right triangles. The height can be found by using Pitagoras:

Where:
L: is the sides of the isosceles triangle = 42 cm
B: is the base = 30 cm
H: is the height =?
Then, the height is:

2. The two equal angles (θ) can be found using the following trigonometric identity:


Hence, the two equal angles are 44°.
I hope it helps you!
Answer: the length of the arc from her dog house to the hydrant is 69 feet
Step-by-step explanation:
The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Radius, r = 24 feet
θ = 165 degrees
Therefore,
Length of the minor arc, DG = 165/360 × 2 × 3.14 × 24
Length of arc = 69 feet rounded up to the nearest feet.
Answer:
Zero Slope
Step-by-step explanation:
rise over run or y2 - y1 / x2 - x1
6-6/5-2 = 0/3