Answer:
θ = 17.45°
Step-by-step explanation:
Given that,
Length of a ladder = 40 foot
Height of a building = 12 feet
We need to find the angle of elevation that the ladder makes with the ground.
40 foot will be the hypotenuse and 12 feet will be the perpendicular distance.
Using trigonometry for this:
[tex]\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{12}{40}\\\\\theta=17.457^{\circ}[/tex]
So, the angle of elevation that the ladder makes with the ground is 17.45°.
The angle of elevation is [tex]17^\circ[/tex] to the nearest degree
The right-angled triangle formed can be solved for the angle of elevation if we note that
The ladder forms the hypotenuse of the triangleThe wall of the building forms the side opposite the angle we seekSo, the trigonometric ratio to be used here is the [tex]sin\theta[/tex]. That is
[tex]sin\theta=\dfrac{\text{height of the building}}{\text{length of ladder}}[/tex]
substituting the values
[tex]sin\theta=\dfrac{12}{40}\\=\dfrac{3}{10}[/tex]
Now, to find the angle of elevation, [tex]\theta[/tex]
[tex]\theta=sin^{-1} \left(\dfrac{3}{10} \right)\\\approx 17^\circ \text{ (to the nearest degree)}[/tex]
Learn more trigonometry here: https://brainly.com/question/1980819
PLEASE HELP ME PLEASE ILL GIVE BRAINLIEST AND ALOT OF POINTS
Answer:
Write the fraction in simplest form.
− 7 /12
Step-by-step explanation:
I looked it up on Math_Way
1.Your paycheck will take 6.2% out of your check for FICA-social security? So if you gross $250 every 2 weeks how much will you pay in Social security?
I just want to know if the every two weeks part matters
-3=ax-14/4
Solve the equation for x in terms of a.
Answer:
2/a = x
Step-by-step Explanation:
First you multiply both sides by 4, leaving you with -12 = ax - 14. Then you add 14 to both sides, which gives you 2 = ax. Then divide both sides by a, where you get your answer, 2/a = x
Which graph represents a function, f(x), that has a slop of 3 units and F(0) =14
Answer:
You didnt leave a picture
One month Maya rented 2 movies and 5 video games for a total of $32. The next month she rented 8 movies and 3 video games for a total of $43. Find the rental cost for each movie and each video game.
Answer: The rental cost for each movie is $3.5 and each video game is $5.
Step-by-step explanation:
Let x= rental cost for each movie
y = rental cost for each movie video game.
As per given,
2x+5y = 32 (i)
8x+3y=43 (ii)
Multiply 4 on both sides of equation (i)
8x+20y = 128 (iii)
Eliminate (ii) from (iii)
17y=85
⇒ y = 5 [divide both sides by 17]
Put this in (i)
2x+5(5)=32
⇒ 2x+25= 32
⇒ 2x= 7
⇒ x = 3.5 [divide both sides by 2]
Hence, the rental cost for each movie is $3.5 and each video game is $5.
Ms. Larson was driving home from a vacation. At noon, she was 120 miles from home. Half an hour later, she was 98 miles from home. If Ms. Larson traveled at a constant rate during this time, what was her speed?
Answer: her speed was “44 miles per hour”
Assuming Ms. Larson was travelling at a constant speed in that half hour, her speed would have been 44 miles per hour.
In order to find the speed of something, use the formula:
= Distance / Time
The distance was:
= First distance from home - Second distance from home
= 120 - 98
= 22 miles
The time was half an hour so will be presented as:
= 0.5 hours
The speed is therefore:
= 22 / 0.5
= 44 miles per hour
In conclusion, Ms. Larson is going at 44 miles per hour.
Find out more at https://brainly.com/question/16832563.
mike and some of his friends went camping. they went on a nature hike and fund 25 different insects.mike found 15 of those insects .what is the ratio of insects mike found to th insects found by the group
Answer:
15 to10
Step-by-step explanation:
The statue or liberty is 305 feet tall measuring from the ground to the tip of the torch if the model is 1/100 the actual size of the staute of liberty, how tall is the model?
Given:
Height of statue or liberty from the ground = 305 feet
Model is [tex]\dfrac{1}{100}[/tex] the actual size of the statue of liberty.
To find:
The height of the model of statue.
Solution:
According to the question,
Model = [tex]\dfrac{1}{100}[/tex] of the actual size
[tex]=\dfrac{1}{100}\times 305[/tex]
[tex]=3.05[/tex]
Therefore, the height of the model of statue is 3.05 feet.
The sum of four times a number and -3 is greater
than 16
Answer:
2+2+2+2=8-3=5
Step-by-step explanation:
so what about This
Answer:
it is 4x + -3 < 16
What is an equation in point-slope form of the line that passes through the point (4, −1) and has slope 6?
Answer:
y + 1 = 6(x - 4)
Answer: y + 1 = 6(x - 4)
Naomi has a toy car collection of 300 toy cars. She keeps 243 of the toy cars on her wall. What percentage of Naomi's toy car collection does she keep on her wall?
Answer:81% or .81
Step-by-step explanation:
81% or .81
Explanation:
243 ÷ 300 = .81
Answer:
the answer is 81%
Step-by-step explanation:
i used google and an answer key
The first element in an arithmetic sequence is 2. Its twenty-fifth is 14. Find the value of n so that a - 6.
Answer:
hindi ko alam yan ha ano
Answer:
the difference between numbers of sequence is 0.5 or 1/2
here,
the formula to find n terms is 0.5n+1.5
this may help you(:
Find the values for X
Answer
5
12/4=3
20/4=5
the value of x is 5
Please answer asap, thank you so much.
Find the slope
Olivia baked 16 mini-loaves of banana bread to be sliced for snacks at a craft fair. She will place an equal number of loaves in 3 different locations. What if Olivia wants to put only whole loaves at each location? How many loaves will be at each location?
Answer:
The number of whole loaves at each location = 5 loaves
Step-by-step explanation:
This problem is essentially testing your ability to use simple division within remainders, and the number of whole loaves is calculated as follows:
Numer of loaves of bread = 16
number of locations = 3
next, we will divide the number of loaves by the number of locations since Olivia placed an equal number of loaves in 3 different locations:
[tex]= \frac{16}{3} = 5\frac{1}{3}[/tex]
This means that there will be 5 whole loaves and 1 loaf that will be divided equally into the three places.
Therefore, the number of whole loaves at each location = 5 loaves
but remember that there will be a remainder of 1 loaf.
Question 1
Equation (1) y = x + 6
Equation (2) y = 2x + 4
Equation (3) y = 3x + 2
Equation (4) y = 5x – 4
The table above shows four equations. If x = 2, which equation has a y-value different from the other three equations?
If a car goes from 60 miles per hour to 10 miles per hour in 5 seconds, find its acceleration. Enter your answer as a whole number. Do not label with units of measurement. For example "12." If the answer is a negative number, then you would enter "-12." No spaces between the negative sign and the number. *
Answer:
[tex]a=-4.47\ m/s^2[/tex]
Step-by-step explanation:
Given that,
Initial speed of a car, u = 60 mph = 26.82 m/s
Final speed of a car, v = 10 mph = 4.47 m/s
Time, t = 5 s
We need to find the acceleration of the car. The rate of change of velocity is called the acceleration of an object. It can be given by :
[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{4.47 -26.82 }{5}\\\\a=-4.47\ m/s^2[/tex]
So, the acceleration of the car is [tex]4.47\ m/s^2[/tex] and it is deaccelerating.
How many push ups will Scott do on day 10 and 20?
How many push ups can scott expect after 4 weeks?
Lisa is also including pushups in her workout and says she does more push ups than Scott because she does fifteen push ups each day, is she correct?
If any one is answering this can you explain how you got the answer.
Answer:I think 57Step-by-step explanation:
Cuz its adding 2 every time then I just did 28 x 2 and added the extra. Does that make sense?
4 x 8 = 28
28 x 2 = 56
56 + 1 = 57
which one?
a b c or d?
Answer:
If you look up the equation on google there is a calculator for that and you should get ur answer there
Step-by-step explanation:
Wz intersects triangle abc at points x and y
Answer:
????????????????????????????????
Step-by-step explanation:
6TH GRADE MATH A keyboard that costs $400 is marked down 10% for a sale. What is the total savings? What is the new price of the keyboard? you will save $--- and the new price is $-----
Answer:
$360 and you will save $40
Step-by-step explanation:
400=100%
40=10%
400-40=360
Select all that apply. What are some uses for the distance formula? Finding the perimeter of polygons. Finding the area of rectangles. Finding the equation of a circle. Finding the midpoint of segments. Finding how much gas you will need on a trip.
Answer:
Everything except the finding the midpoint
Step-by-step explanation:
If the question states the points of a shape, you can find the perimeter and the area of the polygon because you would know the dimensions and the lengths of each side, but in the options, it says the area of a rectangle, and it doesn't have to be a rectangle
You can find the equation of the circle, by finding the diameter of the circle and the radius. With the diameter, you would be able to find the centre of the circle and then you need to divide the diameter by two to get the radius.
For the midpoint, you use the midpoint formula. You just need to sub in the points into the formula and you would get the midpoint
When you are given two points on a graph (or worded problem), and it says that for every x number of km it uses y amount of gas and the question asks to find how much gas is needed in between these two points, you can do this. Find the distance between the two points and then use algebra to work out the amount of gas required
Answer:
12 z abd and also 097
Step-by-step explanation:
PLEASE HELP!!!Which statement is true? Select all that apply.
The relationship is proportional.
The slope is -6.
The slope is negative.
The y-intercept is -3.
The equation of the line is y = -3x
Answer:
"The relationship is proportional."
"The relationship is proportional."
"The equation of the line is y = -3x"
Step-by-step explanation:
First, a proportional relationship can be written as:
y = k*x
where k is called the constant of proportionality. (or the slope)
You can see that if we take x = 0, we have
y = k*0 = 0
Then this type of line always passes through the point (0, 0).
And in the graph you can see that this line does that, then:
"The relationship is proportional." is true.
We also can see that as x increases, the value of y decreases, this must imply that k is a negative number, then:
"The slope is negative." is true.
To find the value of the slope, we can take two points that belong to the line.
I will choose:
(0, 0) and (2, -6)
For the slope, we just take the quotient between:
Δy = -6 - 0 = -6 (the difference in the y-components)
Δx = 2 - 0 = 2 (the difference in the x-components)
the slope is:
k = Δy/Δx = -6/2 = -3
Then the slope is -3, and we can write the equation as:
y = -3*x
Then:
"The equation of the line is y = -3x" is true.
ILL MARK U BRAINLIEST!!
Answer:
C
Step-by-step explanation:
Victory or death meant that he was going to fight until he died, and the others make no sense.
Hope this helps plz mark brainliest :D
Answer:
He wrote the words victory or death
That is the correct answer since it is either he wins or he dies and when he dies is the only way they win
Step-by-step explanation:
I hope you do vote me brainliest it would really help me level up
Is –63 − 88 positive or negative
Answer:
It would equal to a negative
Step-by-step explanation:
Have a good day!
Answer:
negative
Step-by-step explanation:
-63 and -88 are negative
-63-88 is -151
1.6 - 1.3 mathematics
Use the graph to answer the question. what is the value of f(5)?
well, you can't solve an equation with just one number, at least not this equation. maybe if you show more of the graph, i could help.
Quick! Please Help Me ASAP!
Marissa's dance studio charges a monthly fee, plus a fixed amount per class. The line shows the cost y, for x taken. Write an equation for the line in slope-intercept form. Show your work.
Answer:
Step-by-step explanation: The slope is 10 because when x moved positive 2, y moved positive 20 so y = 10x + b and you can just pick one point that the line crosses so I will use (2, 40) so when you put that in the equation it is 40 = 20 + b so b is 20. The answer is y = 10x + 20
A linear equation is given by:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the total monthly charges for x amount of class.
From the graph, the line passes through point (0,20) and (2, 40). Hence, the equation of the line is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-20=\frac{40-20}{2-0} (x-0)\\\\y-20=2x\\\\y=2x+20[/tex]
Hence the equation for the line in slope-intercept form is y = 2x + 20
Find out more at: https://brainly.com/question/2037828
Please some one help please help me I will pray for you
Answer:
35
Step-by-step explanation:
Answer: 35
Step-by-step explanation:
it said i got 0.5/1 and idk which one was wrong
Answer:
Step-by-step explanation:
slope is ( - [tex]\frac{4}{5}[/tex] )
