1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
OLga [1]
3 years ago
9

A baseball is hit at an angle θ horizontal with the ground. Suppose the initial velocity is 100 feet per second. An outfielder c

atches the ball 300 feet from home plate. The range is determined by the following function: range=1/32 v_0^2 sin⁡〖(2θ)〗. Find the angle.
Mathematics
1 answer:
Ket [755]3 years ago
6 0

Answer:

The angle of projection is 36.86 degree.

Step-by-step explanation:

speed, u = 100 ft/ s

range, R = 300 ft

Use the formula of range

R = \frac{u^2 sin2\theta}{g}\\\\300 =\frac{100\times 100 sin2\theta}{32}\\\\sin2\theta  =0.96\\\\2\theta =73.74^o\\\\\theta = 36.86^o

You might be interested in
Could someone help with the domain and range of these 2 graphs?
Rasek [7]

3)Domain [4 to infinity]

Range [0 to infinity]

4)Domain [ - 3 to 3]

Range [ - 2 to 4]

3 0
2 years ago
What is the geometric mean 2 and 7?
puteri [66]

Answer:  \sqrt{14}

Work Shown:

\text{x} = \text{geometric mean of A and B}\\\\\text{x} = \sqrt{A*B}\\\\\text{x} = \sqrt{2*7}\\\\\text{x} = \sqrt{14}\\\\

5 0
2 years ago
Last month, a dwarf lemon tree grew half as much as a semi-dwarf lemon tree. A full-size lemon tree grew three times as much as
dimulka [17.4K]

Answer: the dwarf tree grew by 3 inches.

the semi dwarf tree grew by 6 inches.

the full size tree grew by 18 inches.

Step-by-step explanation:

Let x represent how much the semi-dwarf lemon tree grew.

Last month, a dwarf lemon tree grew half as much as a semi-dwarf lemon tree. This means that the amount by which the dwarf lemon tree grew is expressed as x/2

A full-size lemon tree grew three times as much as the semi-dwarf lemon. This means that the amount by which the full-size lemon tree grew is expressed as 3x

Together, the three trees grew 27 inches. This means that

x/2 + x + 3x = 27

Cross multiplying by 2, it becomes

x + 2x + 6x = 54

9x = 54

x = 54/9

x = 6 inches

The dwarf tree grew by 6/2 = 3 inches.

The full-size lemon tree grew by 3 × 6 = 18 inches

7 0
4 years ago
Which expression represents the phrase the sum of twice a number and 7
bixtya [17]

Answer:

2n+7

Step-by-step explanation:

3 0
3 years ago
The domain of both f(x) = x - 6 and g(x) = x + 6 is all real numbers. What is the domain of h(x) = f(x)/g(x)?
arlik [135]
This is a quotient (division) of two functions we must be concerned with the fact that division by zero is undefined.

Since g(x) is in the divisor position, it cannot equal 0.
x+6 \neq 0
x \neq -6 Subtract 6 from both sides to solve.
So the domain is all real numbers except -6
Set notation {x | x ∈ R, x ≠ -6}
Interval notation (-∞,-6)∪(-6,∞)
6 0
3 years ago
Other questions:
  • Which equation is true for any value of y?
    11·1 answer
  • What is 12 fewer than h hats
    10·2 answers
  • 16x24 equals how many square feet
    6·1 answer
  • The speed of sound is about 3.4 × 102 meters per second. Mark is performing a science experiment and he needs to know how far so
    8·1 answer
  • There are 24 sixth graders and 32 seventh graders attending an after school event. For this event, sixth graders and 7th graders
    7·1 answer
  • To get to school you can travel by car, bus or bicycle. If you travel by car, there is a 50% chance you will be late because the
    6·1 answer
  • estimate the sum or difference. 4/5+3/7, round 4/5 to its closest benchmark. round 3/7 to its closest benchmark. add to find the
    7·1 answer
  • How has the "necessary and proper" clause been used to justify the granting of implied powers to Congress? U.S. Constitution Art
    9·2 answers
  • Belinda's dog had a litter of puppies. She is selling the puppies for $200 each. After 2 weeks, Belinda has 3 puppies left so sh
    14·2 answers
  • If I is parallel to m. Find x and y
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!