To find the measure of the s angle que are going use the cosine law because we know all the sides of the triangule:
s² = r² + t² - 2*r*t * cos(S)
Then solve the equation
s² -r² - t² = -2*r*t * cos(S)
arccos ((s² -r² - t² /-2*r*t)) = S
arccos (((250)² -(850 cm)²-(940 cm)² /(-2* 850 cm*940 cm) = S
14.9 = S
round to the nearest 10th of a degree
15º = S
Answer:
The volume of the toy is 
Step-by-step explanation:
step 1
Find the volume of the hemisphere
The volume of the hemisphere is given by the formula

In this problem, the wide of the toy is equal to the diameter of the hemisphere
so

----> the radius is half the diameter
substitute

step 2
Find the volume of the cone
The volume of the cone is given by

we know that
The radius of the cone is the same that the radius of the hemisphere
so

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

substitute the given values

step 3
Find the volume of the toy
we know that
The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.
so


assume


Answer:
A : 6.5
Step-by-step explanation:
Answer:
A ) The Amount which will be saved after five years is $ 5742.4
B ) The compound Interest is $ 1742.4
Step-by-step explanation:
The Principal deposited at the end of each year = $ 4000
The rate of interest = 7.5 % compounded annually
The time period = 5 years
From compounded method :
Amount = principal × 
or, Amount = $ 4000 × 
Or, Amount = $ 4000 × 
or, Amount = $ 4000 × 1.4356
∴ Amount = $ 5742.4
A ) The Amount which will be saved after five years is $ 5742.4
B ) The compound Interest = Amount - principal
Or, C I = $ 5742.4 - $ 4000 is $ 1742.4 Answer
Answer: $28.30✔️
Step-by-step explanation:
Let C = cost before tax
Cell phone costs = C + C·6% = $30
C(1 + 0.06) = $30
C = $30/1.06 = $28.30
Answer: $28.30✔️
<h3> Verify </h3>
Cell phone after tax = $28.30 + $28.30·6/100 = $28.30 + $1.70 = $30✔️
<h2><em>Spymore </em></h2>