Answer:
x = 9
∠B = 7 x 9 - 1 = 62°
∠BCD = 120°
Step-by-step explanation:
exterior angle of a triangle is equal to the sum of two opposite interior angles
∠BCD = ∠CBA + ∠BAC
10x + 30 = (7x - 1) + (58)
10x + 30 = 7x + 57
3x = 27
x = 9
∠B = 7 x 9 - 1 = 62
∠BCD = 10 x 9 + 30 = 120
5 3/4 = 5 hours and 45 min
the time will be 2:07 am
Answer:
Cost of each balloon is $1.89
Step-by-step explanation:
Given Josh had $150 to spend on 75 balloons for the birthday party. After buying the balloons, Josh had $8.25 left. we have to find the cost of each balloon.
Let the cost of 1 balloon is $x
Since, Money left after buying 75 balloons is $8.25 and the total money Josh had is $150.
∴ The equation can be written as
(Cost of 75 balloons)+Money left=Total money
⇒ 75x+8.25=150
⇒ 75x=150-8.25=141.75
⇒ x=1.89
Hence, cost of each balloon is $1.89
Answer:
0.022
Step-by-step explanation:
Given that :
Population size = 25000
n = 500 ; p = 0.4
Size of random sample (n) = 500
5% of population size : 0.05 * 25000 = 1250
Distribution is normally distributed since n < 5% of population size
Hence, the mean of the distribution = p = 0.4
Standard deviation = √((pq) /n)
q = 1 - p ; q = 1 - 0. 4 = 0.6
Standard deviation = √((0.4 * 0.6) /500)
Standard deviation = 0.0219089
= 0.022
Answer:
<em>Answer: B. 38 mm</em>
Step-by-step explanation:
<u>The Perimeter of a Shape</u>
The perimeter of a given shape is the sum of all exterior lengths surrounding the shape.
The figure shows a shape where all the external measures are given except the leftmost side.
This length is the sum of 3 mm + 10 mm = 13 mm.
Now calculate the perimeter:
P = 4 mm + 3 mm + 10 mm + 8 mm + 13 mm = 38 mm
Answer: B. 38 mm
