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°.
Learn more about trigonometry here:
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If the chance that it will NOT rain is 40%, what is the chance that it will rain?
Answer:
60%
Step-by-step explanation:
question number 20 to 22
Answer:
20) Rectangular prism, Rectangle base
21) Triangular Prism, Triangle base
22) Pyramid, Triangle base
Step-by-step explanation:
Look at the picture
A six sided die is rolled and the spinner on the right is spun.What is the probabiliy of rolling a 6 and spining a vowel
Kindly note that the spinner diagram. Wasn't given and the spinner used was just hypothetical.
Answer:
1 /18
Step-by-step explanation:
Sample space for spinner = (a, b, c, d, e, F, G, h, I) = 9
Total possible outcomes = sampme space
Vowels in spinner = (a, e, I)
Number of vowels = required outcome = 3
P(spinning a vowel) = required outcome / Total possible outcomes
P(spinning a vowel) = 3 / 9 = 1/3
For a six sided dice ;
Required outcome = (6) = 1
Total possible outcomes = (1,2,3,4,5,6) = 6
P(rolling a six) = 1/6
P(rolling a 6 and spinning a vowel) = 1/3 * 1/6 = 1/18
NEED HELP ASAP! WILL CRY OR SOMETHING
The scatter plot shows the relationship between the test scores of a group of students and the number of hours they play computer games in a week:
On a grid, Label Hours Playing Computer Games on x axis and Test Scores on y axis. The title of the graph is Test Scores and Computer Games. The scale on the x axis shows the numbers from 0 to 10 at increments of 1, and the scale on the y axis shows numbers from 0 to 100 at increments of 10. Dots are made at the ordered pairs 0, 90 and 0, 100 and 0.5, 89 and 1, 81 and 1, 95 and 1, 100 and 1.1, 85 and 2, 90 and 3, 81 and 3.5, 65 and 3.5, 75 and 5, 70 and 6, 55 and 6.5, 65 and 7, 52 and 7.5, 95 and 9, 65. The ordered pair 7.5, 95 is circled and labeled as B. All the other points are put in an oval and labeled as A.
Part A: What is the group of points labeled A called? What is the point labeled B called? Give a possible reason for the presence of point B. (5 points)
Part B: Describe the association between students' test scores and the number of hours they play computer games. (5 points)
Part A: Group A is a cluster of points. Group B Is not even a group this point is an outlier. A possible reason Point B is involved is because there could be a student that although played a lot of video games, he studied too and got a good score.
Part B: The association is a negative linear association. Also as students play more video games the test scores tend to go down.
Hope This Helps!
Answer:
Part A: A is a cluster and B is an outlier. I think it is there to show that even kids who play lots of games can get good grades.
Part B: So, if they play too many games, the grades go down, but not all the time
Question: Write a word problem that involves ratios. Discuss how you would go about solving this problem.
Answer:
A theater group has 7 boys and 19 girls. What is the ratio of girls to the entire group?
Step-by-step explanation:
One ratio problem would be:
A theater group has 7 boys and 19 girls. What is the ratio of girls to the entire group?
In order to solve this problem we would first need to calculate the total number of individuals in the theater group. We do this by adding the number of boys with the number of girls.
7 + 19 = 26
Now since we know there are 19 girls, the ratio would be 19 girls for every 26 individuals, or in ratio format it would be ... 19 : 26
PLEASE DUE IN 5 mins
Answer:
am i too late
Step-by-step explanation:
will give brailiest if you answer it correctly
Answer:
The answer is 6 by 15
Step-by-step explanation:
7 Aiden volunteers on the weekend at the central ledbury as a school project to record how many people visit the library and where it go on Saturday 487 people went to the years between 446 people went to social issues 335 what do in literacy on Sunday the library thousand three hundred total visitors Basil Hayden have recorded on Saturday about how many people should be expected to go to social issues round your answer to the nearest whole number
Answer:
487?
Step-by-step explanation:
PLEASE HELP!!! I NEED TO HAVE THIS DONE SOON!
Answer:
A = 54 is the correct answer!
Step-by-step explanation:
I did this test too! Hope this helped!
Solve the system using elimination. Show all work for full credit.
-3x - 3y = 12
3x + 4y = -11
Help me
Answer:
X=-5, y=1
Step-by-step explanation:
Add 3x+-3x to get 0. You are left with
-3y=12
4y=-11
add together
y=1
substitute1 in either equation to solve for x
-3x-3y=12
-3x-3(1)=12
-3x-3=12
-3x=15
x=-5
How do I solve this
!!Help Please!!
Find cos 0 20 16 12
Answer:
the answer is 58 degrees (rounded) I have done a step by step explanation below.
Step-by-step explanation:
hope this helps...
A bag contains different colored jelly beans. In the bag, there are 5 red jelly beans, 3 blue jelly beans, 2 green jelly beans, and 2 yellow jelly
beans.
a. What is the probability of picking a blue jelly bean from the bag?
b. Some orange jelly beans are added to the bag. After adding these new jelly beans, the probability of picking a yellow jelly bean changes to 1/8. How many orange jelly beans were added?
Step-by-step explanation:
hope this help you have a great day!
STEP BY STEP EXPLANATION PLS :-
Answer:
854mm2
Step-by-step explanation:
Area of a trapizium =Sum of parallel sides÷2 × height
(45+16)÷2=30.5
30.5×28 =854mm2
What is the measure of angle QMN
Answer:
a straight line which is 180°
How do you solve 9!/5! ?
Answer:
3024.
Step-by-step explanation:
9! / 5!
= 9*8*7*6*5*4*3*2*1
-------------------------
5*4*3*2*1
We can cancel out the 5*4*3*2*1 to give:
9*8*7*6
= 3024
1. Find the slant height of a square pyramid with a surface area of 57 square feet and a base perimeter of 12 feet
Answer:
Slant height = 8 feet.
Step-by-step explanation:
If the perimeter of the square base = 12 then each side of the base = 12/4
= 3 feet and its area = 3*3 = 9 ft^2
The area of one of the triangular sides = 1/2 * 3 * h where h is slant height.
So total surface area = 57 = 9 + 4 * 1.5h
9 + 6h = 57
6h = 48
h = 8 feet.
Help plz it’s due today will mark brainliest IF CORRECT!
Answer:
20
Step-by-step explanatio: because its adding 2 more spaces to the left
Please brainliest
19. A quadratic equation is shown below.
a2-b=0
If b is a perfect square, which represents the solutions to the equation?
HELP PLEASE
Answer:
[tex]\{\sqrt b, -\sqrt b\}[/tex]
Step-by-step explanation:
Given
[tex]a^2 - b = 0[/tex]
Required
Determine the solution
Since b is a perfect square, the equation can be expressed as:
[tex]a^2 - (\sqrt b)^2 = 0[/tex]
Apply difference of two squares:
[tex](a - \sqrt b)(a + \sqrt b) = 0[/tex]
Split:
[tex](a - \sqrt b)= 0 \ or\ (a + \sqrt b) = 0[/tex]
Remove brackets:
[tex]a - \sqrt b= 0 \ or\ a + \sqrt b = 0[/tex]
Make a the subject in both equations
[tex]a =\sqrt b \ or\ a =-\sqrt b[/tex]
The solution can be represented as:
[tex]\{\sqrt b, -\sqrt b\}[/tex]
In order for a class trip to be scheduled, at least 30 students must sign up. So far, 23 students have signed up. Write and solve an inequality to find the least number of students that must sign up in order for the class trip to be scheduled.
Answer:
Step-by-step explanation:
30 ≤ 23 + x
7 ≤ x
HELP HELP HELP HELP
Answer:
62.8cubic units
Step-by-step explanation:
volume of a cylinder isπ×radius×radius×height.hope it helps.
Please help, 20 points
Which choice is equivalent to the expression below?
See picture
Answer:
does that say 7.19 or 7-19
Step-by-step explanation:
Which is one way to check 102 : 6 = 17?
A. 100:- 5 = 20
B. 105 - 10 = 10.5
C. 105 : 5 = 21
D. 102 : 10 = 10.2
Answer:
One way to check is 102 ÷ 6 = 17 is 100 ÷ 5 = 20.
Answer:
letter a
Step-by-step explanation:
In the diagram shown,
P
T
=
Q
T
=
Q
R
.
Also,
R
T
=
R
S
and
∠
P
T
Q
=
36
∘
.
What is
∠
P
T
S
?
Answer:99
Step-by-step explanation:
which set has the largest range?
Answer:
B
Step-by-step explanation:
Answer:
B has the largest range
Step-by-step explanation:
Definition: The range is the difference between the highest and lowest values.
So we must gather the greatest and the least the subtract to find the difference.
A. {2, 3, 5, 5, 5, 15}
15-2=13. Range for A is 13
B. {10, 20, 30}
30-10= 20. Range for B is 20
C. {140, 141 ,142 ,143}
143-140= 3. Range for C is 3
D. {40, 40, 40, 40, 40}
40-40=0. Range for D is 0
PLS GIVE BRAINLIST IF THIS HELPED
An olive press produces 6 2/3 gallons of oil in 32 minutes. At this rate, how many gallons of olive oil will be produced in 1 hour?
A. 3.6 gallons
B. 12.5 gallons
C. 8.8 gallons
D. 6.2 gallons
PLEASE HELP ITS A TEST!!!!
What operation would you use to solve the equation below for y? y - 15 = 20
Answer:
y = 35Step-by-step explanation:
[tex]y - 15 = 20 \\ y - 15 + 15 = 20 + 15 \\ y = 20 + 15 \\ y = 35[/tex]
I hope that is useful for you :)
Easy. Just take -15 to the right hand side of the equation, which will give you, y = 20+15, implies y = 35.
Carla roller skates 3 miles each weekday and 5 miles each day on the weekend.Which expression represents how many miles she roller skates in w weeks?
Answer:
23w
Step-by-step explanation:
For 6days, She skates 3 * 6 = 18 miles
on weekend she skates 5 miles
Thus, In one week, she skates 23miles
In w week, she skates: 23w
in this exercise we have to know conversion, so it will be necessary to correct the space in time, which will represent in weeks:
28 weeks
So first, we have to calculate the total distance traveled in every day, like this:
[tex]days: 6*3=18\\weekends: 5*2=10\\total:18+10=28[/tex]
See more about conversion at brainly.com/question/4736731
9 - 6x + 5
???????????
Answer:
x=2/3
Step-by-step explanation:
so if you are look for x its 2/3 but if you are look for how to rewrite it its 3x=2
Use the inverse trigonometric keys on a calculator to find the measure of angle A
Answer:
49°
Step-by-step explanation:
49^2 - 32^2 = BC^2
2401 - 1024 = 1377
√1377 = 37.1079506
37.1 m
Sin(A) / 37.1 = Sin(90)/ 49
Sin (A) = 37.1 X Sin(90)/49
A = sin^-1(3.71 X sin90)/49
A = 49.21