Select the correct answer. The velocity of a train relative to the ground is represented by the distance from A to B in the diagram. The velocity of a ball thrown inside the train at an angle of 66° relative to the train is represented by the distance from B to C. What is the distance from A to C (the velocity of the ball relative to the ground), correct to two decimal places? Assume that all the points in the diagram lie in the same plane. A. 21.14 m/s B. 18.03 m/s C. 17.20 m/s D. 15.00 m/s
Answers
A and C are separated by 21.14 miles. The right answer is A.
What is trigonometry?Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.
The ratio of the object's distance travelled at a certain time is known as its velocity. As a vector quantity, the velocity requires both the magnitude and the direction.
Assuming that the distance from A to B in the diagram represents the train's speed in relation to the ground. The distance from B to C represents the velocity of a ball thrown inside a train at an angle of 66° to the train.
The following formula will be used to determine how far A is from C:
2×15×10×cos(180-66)=15²+10²-AC²
-300 cos 66=225+100-AC²
AC=√(325+300 cos 66)
AC = 21.17 m/s
As a result, A and C are separated by 21.14 miles. The right
To know more about trigonometry check:
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Related Questions
Select all the expressions that contain the coefficient 3.
Answers
Answer:
b/c
Step-by-step explanation:
Suppose Charli D'Amelio posted 40 dance videos to TikTok. If 65% of the videos have her making up her own moves, how many of the dance videos do not have her making up her own moves?
Answers
0.4x35=14
So 14 would not be her own moves.
Step-by-step explanation:
[tex]40 - (40 \div 100 \times 65) = \\ = 40 - (0.4 \times 65) = \\ = 40 - 26 = \\ = 14[/tex]
Jim and Dianna want to save for their child's college expenses. They find an annuity that pays 6% annual interest,
compounded monthly. If they invest in this annuity by contributing $300 per month for 10 years, how much money will they
have for the college expenses?
Round your answer to the nearest hundred dollars.
Do NOT round until you have calculated the final answer.
Answers
Answer:
49200
Step-by-step explanation:
what is 6/3 + (- 1/6)
Answers
Answer:
The answer to your problem is 1 5/6
Answer:
11/6
Step-by-step explanation:
First you need to get a common denomintor in order to add fractions. Here you can multiply 6/3 by two to get 12/6. Then you can just do 12/6-1/6 since adding a negative number is the same as subtracting, leaving you with 11/6, which cannot be reduced so that is your final answer.
Which graph(s) show an inverse relationship? Check all that apply.
Answers
Answer:
can you show the graph please?
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answers
Answer:
just upload the file
Step-by-step explanation:
Answer:
1:Add the x for the number of tbs 2: Add all the values together.
Step-by-step explanation:
Hope this helped!
Please help! And don't give me a link, I know it's a scam.
Is a triangle with these measures possible?
52°, 18°, and 110°
Answers
Answer:
Yes.
Step-by-step explanation:
Well if the sum of the angles is equal to 180, then it's a triangle. Since [tex]52+18+110=180[/tex], a triangle with the measures 52°, 18°, and 110° is possible. Hope this helps!
Solve the equation x^{2}-15x+52=0x
2
−15x+52=0 to the nearest tenth.
Answers
9514 1404 393
Answer:
x = {5.4, 9.6}
Step-by-step explanation:
Adding and subtracting the square of half the x-coefficient can help you complete the square.
(x^2 -15x +7.5^2) +52 -7.5^2 = 0
(x -7.5)^2 = 4.25 . . . . . . add the opposite of the constant; write as a square
x = 7.5 ±√4.25 . . . . . . . square root, add 7.5
x ∈ {5.4, 9.6}
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answers
Answer:
The third answer. Above none.
Step-by-step explanation:
Its flipped 180(completely upside down) and located directly below.
Answer:
6,3
Step-by-step explanation:
Frank has 6 red socks, 8 black socks, and 10 white socks in his sock drawer. If Frank blindly reaches into his sock drawer, what is the probability that he will select a white sock and then another white sock? Round to the nearest percent A. 9% B. 16% C. 41% D. 80%
Answers
Answer:
B
Step-by-step explanation:
The first probability is 10/24, and the second is 9/23. If you multiply these two fractoins you get 15/92. 15/92 is approximately equal to 16%.
Dory can run 3.25 miles every hour. How long will it take her to run a race that is
16 1/4 miles long?
Answers
Answer:
it would take her 5 hours
Step-by-step explanation:
16 1/2 divided by 3.25 is 5
Brainliest plz
Approximate 218.16 to the nearest tens.
Answers
LOOK AT THE PHOTO PLS
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Answer:
I'm think its parallel ||
PLS HELP ME OUT GUYS PLS PLS PLS PLS
Answers
the 1st, 2nd, and 3rd are correct
Which of the following equations have a solution of y = 8
Answers
Answer:
B
Step-by-step explanation:
Plug in 8 for y in each equation to see if it's true
6+5(8)=46
6+40=46 ✔️
Solve for the value of a.
Answers
Answer:
7 will be the answer.
Step-by-step explanation:
The angles are complementary angles i.e their sum is 90°.
(5a+3)°+52°=90°
5a+55°=90°
5a=90°-55°
5a=35°
a=35°/5
a=7
I need help. This is due later today.
Answers
Answer:
D is one of them
Step-by-step explanation:
13. Ochieng had sh. 250 as pocket money at the beginning of the term. In the middle of the
term, he was left with 2/5 of this amount. How much did he spend?
Answers
Answer:
sh.150.00
Step-by-step explanation:
2÷5×250
=100
250-100
=150
X+ y + 4z = 2
X+ y + 8z = 6
X + 5y + 3z = -3
Answers
Step-by-step explanation:
X+y+4z=2
X+y+x=4-2
X+y+z=2
A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totaled $327.50. The second order was for 6 bushes and 2 trees, and totaled $142.96. Sam tried to use system of equation to solve the problem If "b" represents bushes and "t" represents trees which system can Sam use?
A 13b + 2t = 327.50 6b + 4t = 142.96
B. 13b + 4t = 142.96 6b + 2t = 327.50
C 4b + 13t = 327.50 2b + 6 = 142.96
D 13b + 4t = 327.50 6b + 2t = 142.96
Answers
Answer:
A
Step-by-step explanation:
because mathematics of mathatics equals mathematics
If ∆SDE ~ ∆SWT, find WT.
Answers
PLEASE ANSWER ASAP DUE IN 2 MIN WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!
PLEASE ONLY ANSWER PART B
Answers
Answer/Step-by-step explanation:
Part A:
(6x + 2)° + (8x + 6)° + (7x + 4)° = 180° (angles in a straight line)
Solve for x
6x + 2 + 8x + 6 + 7x + 4 = 180
Add like terms
21x + 12 = 180
21x + 12 - 12 = 180 - 12
21x = 168
21x/21 = 168/21
x = 8
Part B:
Method 1:
m<CFD + m<CFB + m<BFA = 180° (Angles in a straight line)
m<CFD + (6x + 2)° + (8x + 6)° = 180° (substitution)
Plug in the value of x
m<CFD + 6(8) + 2 + 8(8) + 6 = 180
m<CFD + 48 + 2 + 64 + 6 = 180
m<CFD + 120 = 180
m<CFD + 120 - 120 = 180 - 120
m<CFD = 60°
Method 2:
m<CFD = m<AFE (vertical angles are congruent)
m<CFD = (7x + 4)° (substitution)
Plug in the value of x
m<CFD = 7(8) + 4
m<CFD = 60°
A research company desires to know the mean consumption of meat per week among males over age 43. A sample of 1384 males over age 43 was drawn and the mean meat consumption was 3 pounds. Assume that the population standard deviation is known to be 1.3 pounds. Construct the 99% confidence interval for the mean consumption of meat among males over age 43. Round your answers to one decimal place.
Answers
Answer:
The 99% confidence interval for the mean consumption of meat among males over age 43 is between 2.9 pounds and 3.1 pounds.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{1.3}{\sqrt{1384}} = 0.1[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 3 - 0.1 = 2.9 pounds
The upper end of the interval is the sample mean added to M. So it is 3 + 0.01 = 3.1 pounds
The 99% confidence interval for the mean consumption of meat among males over age 43 is between 2.9 pounds and 3.1 pounds.
6x-23+3m in standard form
Answers
Answer:
6x-23+3m
6x+3m-27 we can't add them b/c they have d/t
variables so the answer is 6x+3m-27
Does (1, 10) make the inequality y > 2x + 7 true?
yes
no
Answers
Answer:
Yes.
10 > 9
Step-by-step explanation:
This inequality is true because 10 is greater than 9.
y > 2x + 7
10 > 2(1) + 7
10 > 2 +7
10 > 9
Mary is having her living room and bedroom painted. Interior Designs USA charges $60.00 to evaluate the space plus $35.00 per hour of labor. Splash of Color charges $55.00 per hour with no initial fee. Which of the following are true? Select all that apply.
A) If it takes 7 hours to paint the two rooms, Interior Designs USA will charge the least.
B) Splash of Color will always charge the least.
C) If it takes more than 5 hours to paint the rooms, Splash of Color will be more cost effective.
D) If it takes 10 hours to paint the rooms, Splash of Color will charge $200 more than Interior Designs USA.
E) If it takes 3 hours to paint the rooms, both companies will charge the same amount.
Answers
Answer:
A and E
Step-by-step explanation:
A) 7 hrs in IDU will cost you $305.00 while SC cost $385
B) 4hrs in and SC will charge you more than IDU by $20
C) SC charges you more than IDU by $50 so IDU is more cost effective
D)SC will charge you $140 more than IDU but not $200
E) 55 x 3 = 165 while 35 × 3 105 plus 60 is 165 therefore it is the same
7,653 to nearest hundreds
Answers
explanation:
Please help me
This is analytic geometry
Answers
Answer:
The coordinates of point B are (-3,-3).
Step-by-step explanation:
Let [tex]A(x,y) = (6,-6)[/tex], [tex]C(x,y) = (-6,-2)[/tex] and [tex]\overrightarrow{AB} = \frac{3}{4}\cdot \overrightarrow{AC}[/tex], then we have the following formula by vectorial definition of a line segment:
[tex]\overrightarrow{AB} = \frac{3}{4}\cdot \overrightarrow{AC}[/tex]
[tex]B(x,y) -A(x,y) = \frac{3}{4}\cdot [C(x,y)-A(x,y)][/tex]
[tex]B(x,y) = \frac{3}{4}\cdot C(x,y) +\frac{1}{4}\cdot A(x,y)[/tex]
[tex]B(x,y) = \frac{3}{4}\cdot (-6,-2)+\frac{1}{4}\cdot (6,-6)[/tex]
[tex]B(x,y) = (-3, -3)[/tex]
In ΔUVW, w = 11 cm, ∠W=8° and ∠U=132°. Find the area of ΔUVW, to the nearest square centimeter.
Answers
Answer:
208
Step-by-step explanation:
Delta math
Pls answer number 2 I’ll give brainliest thank youu!
Answers
Answer:
$4.40
Explanation:
8/100 = 0.08
55*0.08 = 4.4