A 30-foot ramp is used to move product to a loading dock. The ramp makes a 24° angle with the horizontal. The ramp is to be replaced with a ramp that is 50 feet long. What angle does this replacement ramp make with the horizontal? Round your answer to the nearest tenth of a degree.
Answers
Check the picture below.
[tex]sin(\theta )=\cfrac{\stackrel{opposite}{30\cdot sin(24^o)}}{\underset{hypotenuse}{50}}\implies sin^{-1}[sin(\theta )]=sin^{-1}\left[ \cfrac{30\cdot sin(24^o)}{50} \right] \\\\\\ \theta =sin^{-1}\left[ \cfrac{30\cdot sin(24^o)}{50} \right]\implies \theta \approx 14.1^o[/tex]
The value of angle does this replacement ramp make with the horizontal is,
⇒ θ = 14.1°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
A 30-foot ramp is used to move product to a loading dock.
The ramp makes a 24° angle with the horizontal.
And, The ramp is to be replaced with a ramp that is 50 feet long.
Hence, By given figure;
We have;
⇒ sin θ = 30 × sin 24° / 50
⇒ θ = sin ⁻¹ (30 × sin 24° / 50)
⇒ θ = 14.1°
Thus, The value of angle does this replacement ramp make with the horizontal is,
⇒ θ = 14.1°
Learn more about the angle visit:;
https://brainly.com/question/25716982
#SPJ2
Related Questions
1. The mass of lab sample A is 2.4 x 10^-2 kg. The mass of lab sample B is 3.6 x 10^2kg. Given that
information, Jason says that sample B is 15 times the mass of sample A. Narissa asserts that sample B is 15,000 times that of sample A. Julius states that sample B is 1.5 times greater than sample A. Compare the masses of the two samples to decide who is correct. State which person is correct and
explain your answer using mathematics.
Answers
Answer:
Given:
[tex]\textsf{Mass of Sample A}=2.4 \times 10^{-2}[/tex][tex]\textsf{Mass of Sample B}=3.6 \times 10^{2}[/tex]As the exponent of Sample A is negative, this means that the mass of Sample A is smaller than that of Sample B.
Therefore, to find the proportional relationship between the samples, divide the mass of the larger sample (B) by the mass of the smaller sample (A):
[tex]\begin{aligned}\implies \dfrac{\textsf{Sample B}}{\textsf{Sample A}}=\dfrac{3.6 \times 10^2}{2.4 \times 10^{-2}} & =\dfrac{3.6}{2.4} \times \dfrac{10^2}{10^{-2}}\\\\ & =1.5 \times 10^{(2-(-2))}\\\\& = 1.5 \times 10^4 \end{aligned}[/tex]
To convert the scientific notation [tex]1.5 \times 10^4[/tex] to a decimal, move the decimal point to the right 4 places:
[tex]\implies 1.5000 \times 10^4=15000[/tex]
(If the exponent is positive, move the decimal point to the right. If the exponent is negative, move the decimal point to the left. The number of places to move the decimal point is the numerical value of the exponent).
Therefore, the mass of sample B is 15,000 times the mass of sample A, so Narissa is correct.
PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL
Answers
Answer:
x = 42°
Step-by-step explanation:
We have from figure
x + 48° = 90°
x = 90° - 48°
= 42°
HOPE THIS HELPS AND HAVE A NICE DAY <3
please help me in this question please
Answers
Answer:
Can you please write the question given to answer the graph
Tyler simplified the expression x³y9. His procedure is shown below.
1
31/1
³y-9
What is Tyler's error?
Both powers should be in the numerator with positive exponents.
Both powers should be in the denominator with positive exponents.
The power
The power
should be in the numerator and the power y9 in the denominator.
should be in the numerator and the power x3 in the denominator.
Answers
Answer:
(b) both powers should be in the denominator with positive exponents
Step-by-step explanation:
The applicable rule of exponents is ...
a^-b = 1/a^b
__
The correct simplification is ...
[tex]x^{-3}y^{-9}=\dfrac{1}{x^3}\cdot\dfrac{1}{y^9}=\boxed{\dfrac{1}{x^3y^9}}[/tex]
Both variables should have positive exponents in the denominator.
In the "Depositions for the Boston Massacre Trials," who does Captain Thomas Preston blame for the massacre?
A. Himself
B. the Citizens
C. The Soldiers
D. God
Answers
Answer:
B. The citizens
Step-by-step explanation:
When captain Preston said fire he blame the citizens for foreign saying they were harassing the soldiers
Hope this helps! ;-)
ack recorded the number of different colored marbles he has in a pouch. The results are provided in the table below.
Part A. Jack takes out a marble, then without replacing it, he takes out another marble from the pouch. What is the probability that Jack takes out a green marble and then an orange marble? Make sure to show your work for credit.
Part B. Jack has another jar of 275 marbles that have the same distribution as the table above. Based on the information in the table, determine the number of yellow marbles in Jack's jar of marbles. Make sure to show your work for credit.
Part C. Jack also likes to collect buttons. He has 5 bags of buttons. Some information about the number of buttons in each bag is provided below:
The fewest number of buttons in a bag is 21.
The greatest number of buttons in a bag is 29
The mean number of buttons in the bags is 27.
There are two modes for the number of buttons in each bag.
How many buttons are in each of Jack's five bags? (You should have 5 numbers) Make sure to show your work for credit.
Answers
Answer:
its b actually jack had 5 numbers for each button
three people P, Q and R contribute to a fund. P provides 3/5 of the total, Q provides 2/3 of the remainder and R provides £8. Determine the total fund?
Answers
Answer:
Let x be the total fund
[tex] \frac{3x}{5} + \frac{2}{3}(x - \frac{3x}{5} ) + 8 = x [/tex]
3x/5 + 2/3(2x/5) + 8 = x
3x/5 + 4x/15 + 8 = x
9x/15 + 4x/15 + 120/15 = 15x/15
9x+4x+120=15x
-2x= -120
x=60£
Find the area of the Wrangle
The area of the triangle in square units 8 units 10 units
Answers
Answer:
The area is 40 units
Step-by-step explanation:
A 100 N boxer punches a 10 kg punching bag with his fist using a 25 N force. Describe the
forces on the fist and the punching bag.
A) The force on the fist is greater than the force on the punching bag.
B) The force on the fist is equal to the force on the punching bag.
C) The force on the fist is smaller than the force on the punching bag.
D) Not enough information is given to determine which force is larger or smaller
Answers
Answer:
B
Step-by-step explanation:
B is the answer to your question
Add.
6 5/6 + (−6 1/5)
This is a fraction, not a whole number negative sum.
Enter your answer as a simplified fraction in the box.
Answers
Answer:
19/30
Step-by-step explanation:
had this in an old problem in school
:D
If William spins a spinner and it lands on a "C" 4 out of 7 times, how many times would you predict the spinner will land on a "C" if he spun it 91 times?
Answers
Answer:
52 times
Step-by-step explanation:
Probability (C) = 4/7
Multiply with 13 :
C : total = 13 x 4 : 13 x 7 C : total = 52/91This means that if he spun it 91 times, then the spinner would be predicted to land on C 52 times.
Brandi bought a total of 9 lb of flounder and shrimp and paid $12 for the flounder and $12 for the shrimp. If the price per pound of the shrimp is twice that of
the flounder, how many pounds of each did she buy?
Select one:
O a. 6 lb shrimp and 3 lb flounder
O b.
3 lb shrimp and 6 lb flounder
O c.
4.5 lb shrimp and 4.5 lb flounder
O d.
2 lb shrimp and 7 lb flounder
Answers
What is the vertex of the function f(x) = one-halfx2 + 3x + three-halves?
(
,
)
Answers
Answer:
the vertex is (-3 , -3)
Step-by-step explanation:
[tex]\frac{1}{2} x^{2}+3x+\frac{3}{2}[/tex]
[tex]=\frac{1}{2} \left( x^{2}+6x+3\right)[/tex]
[tex]=\frac{1}{2} \left[ \left( x+3\right)^{2} -9+3\right][/tex]
[tex]=\frac{1}{2} \left( x+3\right)^{2} -3[/tex]
then the vertex is (-3 , -3)
Help please!!!!!!!!!!!!!!!!!
Answers
Answer:
A^2 +b^2 = c^2
8^2 + 13^2
64 + 169
233
233 = c^2
so we find the square root of 233
answer is 15.26
Answer:
15.26
Step-by-step explanation:
The Pythagorean theorem
The Pythagorean theorem is used to find missing side lengths in a right triangle ( a triangle with a right angle or 90 degree angle , note that this only works with right triangles ). In order to use the Pythagorean theorem we must have 2 given side lengths.
The formula of the Pythagorean theorem is
a² + b² = c²
Where a and b = base lengths and c = hypotenuse ( longest side )
Solving for the missing side
Here, we are given two side lengths, more specifically the two legs and we need to find the missing side which is the hypotenuse.
To do so, we plug in what we are given ( a = 8 and b = 13 ) and solve for what we need to find ( c )
Plugging in what we are given
Given:
a = 8 , b = 13
Formula : a² + b² = c²
==> plug in values
8² + 13² = c²
==> simplify exponents
64 + 169 = c²
==> add 64 and 169
233 = c²
==> take the square root of both sides
c = 15.26 ( rounded to two decimal places )
And we are done!
Please help me ojn this question
Answers
Answer:
T4 = 162 T5 = 486 T6 = 1458
Explanation:
the pattern is multiply the previous number by 3
so 6 x 3 = 18
18 x 3 = 54
54 x 3 = 162 and so on.
Of the variables affecting your auto insurance, are any of them truly random variables?
Answers
The true statement about auto insurance is : ( D ) Auto insurance premiums can vary from company to company, therefore, it is important to comparison shop for the best price and coverage.
What is Auto insurance ?Auto insurance is a contract entered between a car owner or his representative with an insurance company, which protects the car owner from any financial losses arising from the damage or loss of the car. A premium is been paid as agreed between the car owner and the insurance company to keep the auto insurance active.
The premium amount varies from company to company.
In conclusion Auto insurance premiums can vary from company to company, therefore, it is important to comparison shop for the best price and coverage.
Learn more about Insurance premiums :
brainly.com/question/3053945
#SPJ1
solve for x. Show each step of the solution x/16 = 3/8
Answers
Answer:
x = 6
Step-by-step explanation:
x/16 = 3/8
Step 1: Cross-multiply.
x/16 = 3/8
x*(8) = (3)*(16)
8x = 48
Step 2: Divide both sides by 8.
8x/8 = 48/8
*Ta da!*
x = 6
- Have a great day! -
what is 3 to the square root of 1089
Answers
5.5590606e+15
PLEASE HELP!!!
Which point is tangent to the circle?
A
D
M
Q
Answers
PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL
Answers
Answer:
147
Step-by-step explanation:
Supplementary angles add to 180 total.
x + y = 180
x + 33 = 180
x = 147
A telescope company needs to choose a cardboard box to ship its product across the country. Use the information to answer each question below. Brainlest to whoever answers with work.
Answers
ANWER THIS CORRECTLY FOR BRAINLIEST (algebra)
Answers
Answer:
6202.73 cubic centimeters
Explanation:
volume of sphere: 4/3 π(radius)³
Here given:
diameter: 22.8 cmradius: diameter/2 - 22.8/2 = 11.4 cmVolume:
4/3 π(radius)³insert values
4/3 (3.14)(11.4)³simplify
6202.73 cm³please help me with this question
Answers
Ram, Shyam and Moha purchased biscuits of different brands P, Q and R. Ram purchased 10 packets of P, 7 of Q and 3 packets of R. Shyam purchased 4 packets of P, 8 packets of Q and 10 packets of R. Mohan purchased 4 packets of P, 7 packets of Q and 8 packets of R. If brand P costs € 4, Q costs € 5 and R costs € 6 each, then using matrix operation, find the amount of money spent by these persons individually.
Answers
The amount of money spent by these persons individually will be $ 93, $116, and $ 99.
What is the matrix?A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.
Ram, Shyam, and Mohan purchased biscuits from different brands P, Q, and R.
Ram purchased 10 packets of P, 7 packets of Q, and 3 packets of R.
Shyam purchased 4 packets of P, 8 packets of Q, and 10 packets of R.
Mohan purchased 4 packets of P, 7 packets of Q, and 8 packets of R.
If brand P costs € 4, Q costs € 5, and R costs € 6 each.
Then the amount of money spent by these persons individually will be
Then these are shown in the form of a matrix. Then we have
[tex]\begin{bmatrix}10 & 7 & 3 \\4 & 8 & 10 \\4 & 7 & 8 \\\end{bmatrix} \begin{bmatrix}4 \\ 5 \\ 6 \\\end{bmatrix}[/tex]
Then the amount of money spent by these persons individually will be
[tex]\begin{bmatrix}10 & 7 & 3 \\4 & 8 & 10 \\4 & 7 & 8 \\\end{bmatrix} \begin{bmatrix}4 \\ 5 \\ 6 \\\end{bmatrix} = \begin{bmatrix} 93\\ 116 \\99 \end{bmatrix}[/tex]
More about the matrix link is given below.
https://brainly.com/question/9967572
#SPJ1
May I know the values of x and y of the following equation?
(5-3i)(x-yi) = 3(x+2yi)+1-2i
Answers
Answer:
(x, y) = (17/31, 1/31)
Step-by-step explanation:
Simplify the given equation, then equate real parts and equate imaginary parts. This will give you two equations in the two unknowns.
__
simplify(5 -3i)(x -yi) = 3(x +2yi) +1 -2i
5x -5yi -3xi +3yi² = 3x +6yi +1 -2i
(5x -3y) +i(-5y -3x) = (3x +1) +i(6y -2)
equate real, imaginary partsThis resolves to the two equations ...
5x -3y = 3x +1-5y -3x = 6y -2solve the systemPutting these equations into general form gives ...
2x -3y -1 = 0
3x +11y -2 = 0
Using the "cross multiplication method" to solve these equations, we get ...
x = ((-3)(-2) -(11)(-1))/(2(11) -3(-3)) = 17/31
y = ((-1)(3) -(-2)(2))/31 = 1/31
The values of x and y that satisfy this equation are ...
(x, y) = (17/31, 1/31)
_____
You can read more about the cross multiplication method here.
https://brainly.com/question/26397343
Pleaseeee help school ends tmrw
Answers
Answer:
y=3x-23
Step-by-step explanation:
You have to distribute 3 and you get y+5=3x-18 and then move 5 over by subtracting it from each side you get y=3x-23 hope you enjoy your summer!
Answer:
C. y = 3x - 11
Step-by-step explanation:
Combine the y and 3
Add the 5 and 6 to get 11
Write the equation in standard form
Neil pays 2.16 in postage to a frien he uses 40 cent stamps and 7cent stamps to 2.16 how many of each stamps did he use
Answers
Is the triangle with the lengths of 6, 7, and 9 a right triangle? (show work using Pythagorean theorem) Need to write the numbers in and show the calculation for credit.
Answers
Answer:
no
Step-by-step explanation:
6^2+7^2=9^2
36+49=81
no its not a right triangle
Given a function described by the table below, what is y when x is 5?
X Y
2 6
4 8
5 9
6 12
Answers
Considering the table that describes the function, it is found that when x = 5, the value of y is of y = 9.
What does the table states?The table representing the function states the value of y associated with each value of x.
Hence, considering the third line of the table, it is found that when x = 5, the value of y is of y = 9.
More can be learned about functions at https://brainly.com/question/25537936
#SPJ1
What calculation is modeled on the number line?
++++
--1
-1
0
12
1
- + (-15) = -2
- +(-1) = -1
- + (-5) = -1
+
- (금)-1
10
10
10
I will give 100 points pls ASAP!
Answers
Answer:
3rd option (bottom left)
Step-by-step explanation: