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Verizon [17]
3 years ago
10

The measure of the vertex angle of an isosceles triangle is 15 more than the measure of each base angle. Find the degree measure

of each angle of the triangle

Mathematics
1 answer:
Strike441 [17]3 years ago
5 0
Answer:
Step by step explanation:

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A projectile is fired with muzzle speed 220 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe
Allushta [10]

Answer:

  • 4968.6 m from where it was fired
  • 221.33 m/s

Step-by-step explanation:

For the purpose of this problem, we assume ballistic motion over a stationary flat Earth under the influence of gravity, with no air resistance.

We can divide the motion into two components, one vertical and one horizontal. For muzzle speed s and launch angle θ, the horizontal speed is presumed constant at s·cos(θ). The initial vertical speed is then s·sin(θ) and the (x, y) coordinates as a function of time are ...

  (x, y) = (s·cos(θ)·t, -4.9t² +s·sin(θ)·t + h₀) . . . . . where h₀ is the initial height

To find the range, we can solve the equation y=0 for t, and use this value of t to find x.

Using the quadratic formula, we find t at the time of landing to be ...

  t = (-s·sin(θ) - √((s·sin(θ))²-4(-4.9)(h₀)))/(2(-4.9))

  t = (s/9.8)(sin(θ) +√(sin(θ)² +19.6h₀/s²))

For s = 220, θ = 45°, and h₀ = 30, the time of flight is ...

  t ≈ 31.939 seconds

Then the horizontal travel is

  x = 220·cos(45°)·31.939 ≈ 4968.6 . . . . meters

__

As it happens, the value under the radical in the above expression for time, when multiplied by s, is the vertical speed at landing. The horizontal speed remains s·cos(θ), so the resultant speed is the Pythagorean sum of these:

  landing speed = s·√(cos(θ)² +sin(θ)² +19.6h₀/s²) ≈ s√(1 +0.012149)

  ≈ 221.33 m/s

_____

Note that the landing speed represents the speed the projectile has as a consequence of the potential energy of its initial height being converted to kinetic energy that adds to the kinetic energy due to its initial muzzle velocity.

6 0
3 years ago
Convert F2 from hexadecimal to binary.
Yakvenalex [24]

Question:

<u><em>"Convert F2 from hexadecimal to binary."</em></u>

Answer:

11110010

Step-by-step explanation:

Hex F2 to decimal explained:

The value of HEX F2 in decimal is 242.

The value of HEX F2 in binary is 11110010.

2 2 X 160 = 2

F 15 X 161 = 240

HEX F2 = 242

<em><u>The binary value is: 11110010</u></em>

A hexadecimal number has base 16 (0,1,2,3,4,5,6,7,8,9 A,B,C,D,E,F).

basic hex to a decimal conversion table

Hex 0 1 2 3 4 5 6 7 8 9 A B C D E F

Decimal 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

<u><em>HOPE THIS HELPS!</em></u>

<u><em>PLEASE MARK BRAINLIEST IF THIS HELPED YOU LEARN! :)</em></u>

3 0
2 years ago
What value of ‘W’ satisfies <br> 8(w+4)=38+7w<br> A. 8<br> B.6<br> C.11<br> D. 4.5
dlinn [17]
B. 6

Explanation: 8(6+4)= 80
38+ 7(6)= 80
5 0
3 years ago
Many of you will live to the year 2100, which is not a leap year. Not all years which are divisible by 4 are leap years. A cente
Slav-nsk [51]

Answer:

For example, the years 1600, 2000, and 2400 are century leap years since those numbers are divisible by 400, while 1700, 1800, 1900, 2100, 2200, and 2300 are common years despite being divisible by 4.

Step-by-step explanation:

3 0
3 years ago
The function h(t)= -2(t-3)^2+23 represents the height, in feet, t seconds after a volleyball is served.Which of the following st
Tatiana [17]

What are the statements?


4 0
3 years ago
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