The bullet has been fired at an angle of 69.5° to the horizon. This is a problem based on the application of trigonometry.
Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles.
Given that
Distance between the building and the man = 146 ft.
Height of the man = 5.9 ft.
Height of the building = 385 ft.
So,
Total height = Height of the man + Height of the building
= 5.9 ft. + 385 ft.
= 390.9 ft.
Let the angle to the horizon would the bullet have been fired be x°.
[tex]tanx^o = \frac{390.9}{146}\\tanx^o = 2.677\\x = tan^{-1}(2.677)\\x = 69.5[/tex]
Thus, the bullet has been at an angle of 69.5°.
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Help I will mark brain list.
Answer: the area equals 580
Step-by-step explanation: the area is length times height times width and it all equals to 580
hope this helps
PLEASE HELP ASAP!!
A square-based pyramid has a total surface area of 144 sq. meters. If the base length is 8 meters, what is the slant height of each of the triangular faces?
Answer:
Step-by-step explanation:
m
solve the inequality n- 1 3/4 <-5/8
Answer:
n<
9/8
explanation
simplify n+ -7/4 < -5/8
add 7/4 to both sides
= n< 9/8
Solve for x.round to the nearest tenth. 70,6
Answer:
16.5
Step-by-step explanation:
Tan70°=x/6
x=6tan70°
=16.5
(13x-26) (5x+8) HELP
Answer:
x=11
Step-by-step explanation:
13×11+26=117
5×11+8=63
117+63=180
A town has a population of 17000 and grows at 4% every year. What will be the population after 5 years, to the nearest whole number
Answer:
20400
Step-by-step explanation:
Roll a die two times. What is the probability of getting a five and five
Answer:
1/36
Step-by-step explanation:
(1/6)×(1/6)=1/36
Solve m+18+23=71
PLZZZZZ I NEED THE ANSER PLZZZ
Answer:
m + 18 + 23 = 71
m + 41 = 71
m = 71 - 41
m = 30
Answer:
30
Step-by-step explanation:
m+18+23=71
m+41=71
m=71-41
m=30
Express 9.08 as a fraction in its simplest form
Answer:
[tex]9\frac{2}{25}[/tex]
Step-by-step explanation:
What is the probability of drawing a blue marble twice with replacement
PLease help with this
Answer:
huh
Step-by-step explanation:
Diragio Lawn Care cuts lawns every week. Each lawn uses 34 of a tank of gas when it is cut (on average). How much gas is used if 10 lawns are cut in one week? Choose two answers that represent the solution.
Answer:
7.5 tank oil will be used
Step-by-step explanation:
Amount of gas used to cut one lawn (on an average) = 3/4 of a tak
Given ,
In a week , ten such lawns are cut
Hence, Total amount of gas used
= 3/4* 10
= 7.5 tank
Please help, having a lot of trouble with this
Answer:
d. -1
Step-by-step explanation:
the slope is the rise over the run from one point to another.
i hope this helps :)
Each line is 1 unit.
Use the dots A and B
A is located at (-3,3)
B is located at (3,-3)
Slope is the change in y over the change in x
Slope = (-3 -3) / (3 - -3)
Slope = -6/6
Slope = -1
The answer is D -1
A baker produces 500 loaves of bread. On Monday
Answer:
What is the question?
Step-by-step explanation:
Sam can make 15 pizzas in 2.5 hours. At this rate, how many could he make in an 8 hour work day? What is Sam´s rate per hour?
A copy machine makes 45 copies in 25 second. Find the unit rate of copied per second.
A sign in a store says 3 pens for $2.70. How much would 10 pens cost?
What is the unit price of 10 pounds of potatoes that cost $2.80?
Answer:
1) Sam makes 48 pizzas in 8 hours. Sam makes 6 pizzas per hour.
2) The machine makes 1.8 copies per second.
3) 10 pens cost $9.00
4) $0.28
Step-by-step explanation:
1)
[tex]\frac{15}{2.5} =\frac{x}{8} \\\\2.5x=120\\x=48[/tex]
[tex]\frac{15}{2.5} =\frac{x}{1} \\\\2.5x=15\\x=6[/tex]
2)
[tex]\frac{45}{25} =\frac{x}{1} \\\\25x=45\\x=1.8[/tex]
3)
[tex]\frac{3}{2.7} =\frac{10}{x} \\\\3x=27\\x=9[/tex]
4)
2.8/10 = 0.28
Find the average rate of change of g(x) =-x²+2x+2 from x=2 to x = 6.
Simplify your answer as much as possible.
Solve the equation replacing x with 2 and the 6:
-2^2 + 2(2) + 2 = 4 + 4 + 2 =10
-6^2 + 2(6) + 2 = 36 + 12 + 2 = 50
Difference between the answers: 50-10 = 40
Difference between 2 and 6 = 6-2 = 4
Average rate of change = 40/4 = 10
The answer is 10
PLEASE HELP ME THANK YOU IF YOU DO ❤️
Step-by-step explanation:
Here,
we have
the speed = 105 miles in 3 hours
Therefore, 105÷3
= 35
Hence, It's average speed is 35 miles.
if it helps don't forget to like and mark me
Move the constant to the right.
3x + 87
− 12 = 0
3x + 87
=
Answer:
3x+87=12
This is the answer
Answer:
dtcttr57uhiiiiiiiioii
Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60%, percent of their plants are flowers and 40%, percent are vegetables. They have 50 plants growing in the garden.
Answer: the answer is 20.
What is
as a percent?
20%
35%
6%
60%
Answer:
60%
Step-by-step explanation:
Answer:
60%
Step-by-step explanation:
A quadratic function has one zero (x-intercept) at x = -5 and another zero at x = 3. What is the equation of the axis of symmetry of this function?
Answer:
x = - 1
Step-by-step explanation:
The axis of symmetry is a vertical line located at the midpoint of the zeros.
Equation is then
x = [tex]\frac{-5+3}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1 , that is x = - 1
Consider the following graph, which details the population of a city over time. A line graph titled Population (thousands) has year on the x-axis and number on the y-axis. The points are connected by a line that gradually increases. What aspect of the graph is likely being emphasized by the choice of graph style, choice of scale, and so on? a. the sharp differences between individual data points b. the disjoint nature of the data collected c. the strong distinction between each year’s data d. the extended, continual growth of the population
Answer:
d
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
edge 2020/21
If you spin the spinner two times, how many possible outcomes are there?
Answer:
1 Answer. The chance of anding on A for one spin is 90+45360=38. So the probability of that happening twice in a row is 38×38=964.
Step-by-step explanation:
HELP!! Please! I’ll appreciate it!
I need help with this . Please show workings.
1.A worker has painted ⅔ of a house. What percentage of the house has not been painted?
2. A manager salary of 600 is increased by 12½% .What is his new salary?
Answer:
1. 33.3333(repeating)%
2. $675
Step-by-step explanation:
2/3 = 0.6666(repeating)7
1 - 2/3 = 0.33333333333333333333333333333333333333333333333333333
2. 600 * 1.12½ (divide fractions to quickly convert them to decimals) = 675
What type of association is shown in the scatterplot?
A) positive linear association
B) negative linear association
C) positive nonlinear association
D) no association
Answer:
D
Step-by-step explanation:
I am positive
Answer:
No association
Step-by-step explanation:
As the dots are randomly dotted across the graph, there is no association.
common multiples for 30 21 and 24
Answer:
The common multiple for 30 21 and 24 is 3
Step-by-step explanation:
30 = 3 × 10
21 = 3 × 7
24 = 3 × 8
Thus, 3 is the common multiple for 30 21 and 24.
-TheUnknownScientist
Find the area of the sector. Use 3.14 for the value of 5. Round your answer to the nearest tenth.
Answer:
12.56m^2
Step-by-step explanation:
a = piR^2
The area of a sector of a given circle is 37.7 m².
Given that, the radius of a circle=4 m and the central angle of a circle=270°.
What is the formula to find the area of a sector?The area of a sector is the space inside the section of the circle created by two radii and an arc. It is a fraction of the area of the entire circle.
The formula to find the area of a sector is θ/360°(πr²).
Where r is the radius of the circle and θ is the angle of the sector.
Now, area=270°/360°(3.14×4×4)=37.68≈37.7 m².
Therefore, the area of a sector of a given circle is 37.7 m².
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Ashley has 5 liters of punch. Megan has 4,700 milliliters of punch. Who has more punch?
Carrie often asks friends to play Among Us at lunch. Of the 5 games they play, Carrie wins 2 games. Consider this data:
If she keeps playing in 35 games, how many games should you expect Carrie not to win
Answer:
She'll lose 21 games out of 35. But she'll win 14 lol
All I did was see how many fives go into 35, and that's 7. So 3 (how many games she loses per 5 games) times 7 is 21.