A ramp is propped against the back of a truck. There is a 30 degree
angle between the ramp and the horizontal pavement
If the distance along the ground from the end of the ramp to the point
on the ground below the back of the truck is 9 feet, how long is the
ramp, in feet? Round your answer to the nearest whole number,
Answers
Step-by-step explanation:
hope it help:)
/////////////////////
The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the ramp is equal to 10ft.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
The length of the ramp is,
Cos(θ) = Base/Hypotenuse
Cos(30°) = 9ft /The length of the ramp
The length of the ramp = 9ft/Cos(30°)
Length of the ramp = 10.3923 ft ≈ 10ft
Hence, the length of the ramp is equal to 10ft.
Learn more about Trigonometric functions:
https://brainly.com/question/6904750
#SPJ2
Related Questions
A fundraiser agrees to donate an extra $75 for every $100 the school raises through selling cookies what is the constant of the proportionality
Answers
Answer:
3/4 or 0.75
Step-by-step explanation:
DON AND 3 FRIENDS SHARE 2 sandwiches at lunch which equation can be used to find out how much sandwich each person gets at the sandwich are shared equally
A. X= 4÷2
B. X= 2 ÷4
C. X= 1÷3
D. X= 1÷4
Answers
Reason:
The thing they need to share are the sandwiches (y), where x is the amount of sandwich per person, so that goes in the equation first.
4/2 is 2 so that doesn’t make sense.
C isn’t an option because there are 4 people in this word problem. Don and his 3 friends = 4.
D isn’t right because there’re 2 sandwiches, not 1.
Find the measure of angle ABD.
Answers
Answer:
ABD=23
Step-by-step explanation:
9x-22=6x-7
3x= 15
x=5 but wait thats only what X is so
9(5)-22
45-22
ABD=23
Last month, when Joe took his puppy to the veterinarian, the puppy weighed 4.8 pounds. This month, the puppy weighed 7.2 pounds. What is the percentage increase of the weight of the puppy?
Answers
Michelle buys 4 theme park admission cards online and gifts them to
her nieces. What will be the charge for 5 such admission cards, if she spent
$748 on her purchase?
Answers
Answer:
$971(nine hundreds and seventy one dollars
Determine the value of the missing sides for the following triangle
Answers
Answer:
There is no picture or diagram so add them and i can edit this answer, look at paperclip sign first take picture screen shot then add pic on paperclip edit button here.
Step-by-step explanation:
For missing sides of a triangle we do the following.
Does it have a right Angle determine other angle measures, say if an external angle on a straight line showed 145 then its adjoing interior would be 180-145=35 degree.
Are the measure of the lengths congruent with a larger or smaller triangle shown.
If yes then if one triangle showed 4 and same triangle showed 6 and had ne missing, then the other had 8 and 10 and had one missing we would compare and if 8 was the same as 4 we would recognise the congruent triangle is x2 (scale factor 2) so measure 6 woyuld also be measure 12 for the other triangle. and then to find the smaller missing side we see 10 is left over and 10/2 = 5
Other ways to find length is through Pythagoras we use the squares a^2 + b^2 = c^2 for missing slant
and c^2 - b^2 = a^2 for any missing side
so a represents any missing side for the second equation and c represents the missing side if it is a slant only.
find x and round to the nearest tenth
Answers
Answer and Step-by-step explanation:
22ft = x (c)
20ft = y (b)
18ft = z (a)
Plug into equation.
[tex]22^{2} = 20^{2} + 18^{2} - 2(20)(18)cosC (X)\\\\484 = 724 - 720cosC\\\\-240 = -720cosC\\\\\frac{1}{3} = cosC\\\\cosx^{1} (\frac{1}{3} ) = C\\\\C = 70.5288\\\\[/tex]
C ≈ 70.5 is the answer.
Consider the expression.
6 · 60 · 6–3
Which statements are true about the expression? Check all that apply.
The 6 without an exponent is equivalent to the 6 having a 0 exponent.
The sum of the exponents is 2.
Multiply the exponents to simplify the expression.
The expression has a value of StartFraction 1 Over 36 EndFraction.
An equivalent expression is 65 · 6-7.
Answers
Answer:
4. The expression has a value of 1/36 . True
5. An equivalent expression is (6)^5. (6)^- 7 True
Step-by-step explanation: Not true. The 6 without an exponent is equivalent to the 6 having a 0 exponent.
Any number having an exponent zero has a value equal to 1.
6 · (6)^0 · (6)^–3
= 6.1.1/216
= 1/36
= (6)^-2
2. The sum of exponents is 2.
False ( the sum of exponents is -2)
3.Multiply the exponents to solve the expression .
False when the bases are the same the exponents are added or subtracted.
4. The expression has a value of 1/36 .
True
5. An equivalent expression is (6)^5. (6)^- 7
True
the correct answers are D and E. I just got this right. hope it helps
–9x + 9y = 9
y = –7
(
,
)
Answers
Answer:
x=-8
(-8,-7)
Step-by-step explanation:
–9x + 9y = 9
–9x + 9(-7) = 9 (y=-7)
-9x-63=9
Both side +63
-9x=63+9
-9x=72
Both side divide -9
x=-8
y=-7
(-8,-7)
Simplify the expression:
(8 - 3)(-7) =
I
Submit
Answers
Answer:
(8-3)(-7) =8×-7=-56 (-3)×(-7)=+21
Step-by-step explanation:
then -56+21= 77
The experimental probability and theoretical probability of an event are not
necessarily the same.
A) true B) false
Answers
Of the 950 students enrolled in a soccer league, 42% are in middle school. How many students in the soccer league are in middle school?
68
399
509
908
Answers
Hope this helps :)
3 feet = _____ inches
Answers
Answer: 3 Ft = 36 Inches
Step-by-step explanation:
Order the following numbers from least to greatest.
122 meters ABOVE sea level
1,629 meter ABOVE sea level
15.24 meters BELOW sea level
98 meters BELOW sea level
Answers
Answer: 98 meter below
15.24 meters below
122 meters above
1629 meters above
Step-by-step explanation:
Select all the expressions that are equivalent to 2/3(9x+6)-1/2(8x-4)?
M. 2(x+1)
P. 2x+6
R. 2x+2
S. 2(x+3)
T. 8x
Answers
Answer:
S. 2(x+3)
Not sure if I should show my work or no
f(x)= 4x+3, g(x)= x-2
Find g(f(x))
Answers
Answer:
4x + 1
Step-by-step explanation:
g(f(x)) = (4x + 3) - 2
= 4x + 1
A diner charges $0.80 per egg and $3.00 for three pancakes. Another diner charges $5.00 for three pancakes and $0.30 per
egg
If a customer orders three pancakes, the two diners charge the same amount for the order if the customer also orders
eggs.
Answers
Answer:
If the eggs cost $0.80 per egg, then that'll be 9 eggs and for eggs costing $0.30, it would be 4 eggs to make each place cost the same
The polynomial - 16t+ vt +s, represents the height (in feet) of an object, where v is the
initial vertical velocity (in feet per second), s, is the initial height of the object (in feet), and t is the time in seconds). Write a
polynomial that represents the height of the object. Then find the height of the object after 1 second
Answers
Answer:
At 1.5 seconds and 2.5 seconds
Step-by-step explanation:
Because this is parabolic motion, the object will reach the height of 68 feet when it's going up AND when it's coming down. In order to find out those times, you set the h on the left side of the equation equal to 68, because h stands for height.
Set that equal to 0 and factor to solve for t:
Using the quadratic formula, we get t = 1.5 and t = 2.5
The height of the object after 1 second is 229 feet.
It is required to find the height of the object after 1 second.
What is polynomial?A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations. sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer.
Given:
The polynomial - 16t² + vt+ s, represents the height (in feet) of an object,
where
v is the initial vertical velocity (in feet per second),
s, is the initial height of the object (in feet),
t is the time in seconds.
We are given;
v(o) = 45 ft/s
s(o) = 200 ft
According to given question we have,
Thus, polynomial that represents the height is;
h(t) = -16t² + vt+ s,
After a time of 1 second, height is;
h(1) = -16(1)² + 45*1+ 200
h(1) =-16+45+200
h(1) =229 feet
Therefore, the height of the object after 1 second is 229 feet.
Learn more about polynomial here:
brainly.com/question/21610065
#SPJ2
Several shots were fired during a concert downtown. The performing musician received minor injuries, and no one else was injured. The musician is now suing the city for not providing proper security for the event. The musician has had financial trouble after leaving a successful boyband, and there are rumors that the musician organized the shooting so he could collect money from the lawsuit. A tree near the stage was found with several bullet holes, and it was determined the shots could not have come from the crowd. The musician owns the penthouse in the apartment building in front of the concert venue, so forensic analysts want to determine if the shots could have come from there. The penthouse is on the sixth floor, which is 85 feet from the ground . The building is 60 feet from the tree. Using the measurements from the crime scene, show your math to determine if the shooter came from the penthouse.
Answers
Answer:
The answer is 365.76 m/s
Step-by-step explanation:
Please help me on this or give me the answer!
Answers
Answer:
i agree with he or she they are correct as well
Step-by-step explanation:
what is 729 : 4 in long division
Answers
Answer: Here's what I got:
Step-by-step explanation:
I don't know if this what you wanted:
Find the length of the third side. If necessary, round to the nearest tenth.
15
20
Answers
Answer:
Step-by-step explanation:
The bottom one gghhggguffjgjtj
Answers
Answer:
the awnser should be. 3/4
Can you please move the question to the side I can't really see it all and that makes it hard to answer
Sierra has a recipe she wants to make. She has to use eggs and sticks of butter. The ratio for these ingredients is 12 to 4 to make 4 batches. What will the equivalent ratio be if she wants to make 8 batches?
Answers
so you need 24 eggs and 8 sticks of butter (a ratio of 24 to 8, or 24:8)
How tall are you in centimeters (1 inches =2.54)
Answers
Answer:
Im about 178 centimeters
Step-by-step explanation:
Which one of the following are rational numbers?
8
0
10/3
7
Answers
Answer:
eight and zero...
Step-by-step explanation:
hope I help
Can somebody help me, I'm being timed!
Answers
Answer:
I think its -- linear postulate
Step-by-step explanation:
Heidi earns $11.50 per hour plus a bonus of $105 for the week. Her goal is to earn $650 for the week. Which equation
represents the number of hours, h, Heidi will have to work to reach her goal?
Answers
Answer:
48 hours
Step-by-step explanation:
$650 - $105 = $545
$545 ÷ $11.50 = 47.39 = 48 hours (Rounded)
Can you help if your are eligible to?
Answers
What is the volume, in cubic inches, of one cube with an edge length of 1/3 inch
Answers
Answer:
1/27 cubic in.
Step-by-step explanation:
1/3*1/3*1/3= 1/27
The volume of the cube if, its edge length is 1/3 inch is 1 / 27 inches³.
What is volume?The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.
Given:
The length of the edge = 1 / 3 inches,
Calculate the volume of the cube as shown below,
The volume of the cube = The length of the edge × The length of the edge × The length of the edge
The volume of the cube = 1 / 3 × 1 / 3 × 1 / 3
The volume of the cube = 1 / 27
Thus, the volume of the cube is 1 / 27 inches³.
To know more about volume:
brainly.com/question/13807002
#SPJ2