The door of the ramp must begin at a distance of 25.72ft in order to raise the ramp by 5ft.
Data;
height (opposite) = 5ftangle = 11°distance (adjacent) =xTrigonometric RatioTo solve this problem, this is a right angle triangle and we can use trigonometric ratio SOHCAHTOA here.
Since we have the value of angle and opposite and solving only for adjacent, we can use tangent of the angle.
[tex]tan \theta = \frac{opposite}{adjacent} \\[/tex]
Let's substitute the values into the formula above and solve
[tex]tan 11 = \frac{5}{x} \\x = \frac{5}{tan 11} \\x = 25.72ft[/tex]
The door of the ramp must begin at a distance of 25.72ft in order to raise the ramp by 5ft.
Learn more on trigonometric ratio here;
https://brainly.com/question/11967894
z^3 - z^2 + z for z = -10
Answer:
[tex] - 1110[/tex]
Step-by-step explanation:
STEP1:
1.1 10 = 2•5
(10)2 = (2•5)2 = 22 • 52
Equation at the end of step1:
((0 - (103)) - (22•52)) - 10
STEP2:
2.1 10 = 2•5
(10)3 = (2•5)3 = 23 • 53
Equation at the end of step2:
((0 - (23•53)) - (22•52)) - 10
STEP3:
Final result :
-1110
Please i need your help
Two trains leave stations 330 miles apart at the same time and travel toward each other. One train travels at 65 miles per hour while the other travels at 85 miles per hour. How long will it take for the two trains to meet?
Answer:
Both trains will meet at 2.2 hours (2 hours and 12 minutes).
Step-by-step explanation:
Relative Speed
If two moving objects are traveling through the same line and have speeds v1 and v2 respectively, their relative speed is vr = v1-v2.
Both trains travel toward each other, which means their speeds are of opposite signs.
Let's assume the first train has a positive speed of 65 mph, and the second train has a negative speed of -85 mph. Then, the relative speed is vr = 65 + 85 = 150 mph.
To calculate the time they take to meet, we apply the formula:
[tex]\displaystyle t=\frac{x}{vr}[/tex]
[tex]\displaystyle t=\frac{330}{150}=2.2\ hours[/tex]
Both trains will meet at 2.2 hours (2 hours and 12 minutes).
Which shows the solution to the inequality −4x > 36 A x > −9 C x < 9 B x > 9 D x < −9
Answer:
solution set of inequality 4x + 3 ≤5x + 7 is (-4, oo)
Evaluate x+(−21) when x=−27.
Answer:
-48
Step-by-step explanation:
Subsitute -27 for x
-27+(-21) when you add negatives you keep the negative sign
-48
write 15+45 as a product of two factors using the gcf and the distributive property
Answer:
15(1 + 3)
Step-by-step explanation:
15 written in its prime factors is 3 × 5 (15 × 1)
45 written in its prime factors 3 × 3 × 5 (15 × 3)
The greatest common factor is 15: 15 × 1 = 15 and 15 × 3 is 45
∴ 15 + 45 = 15(1 + 3)
Hope this helps! Make me brainiest, lol it's fine if you don't. : )
In rectangle EFGH, EH I FG and EH crosses the y-axis at (0.-2). If the equation of the line containing FG is x + 3y = 12, write the equation of the line containing EH in slope- intercept form. Show your work to justify your answer.
Answer:
y = (-1/3)x - 2
Step-by-step explanation:
First we should put the equation for FG into slope intercept form, which is y = mx + b. For this step, just solve for the y in the equation, which should be y = (-1/3)x + 4.
Next, since we know that FG and EH are parallel, their slopes must also be the same. We also know the (0, -2) is a point on EH, and also happens to be the y-intercept. Therefore, we can plug it back into the slope intercept equation and get y = (-1/3)x - 2, since the m is the same and the -2 is just the y-intercept given in the problem.
A bag contains some red, blue, and green marbles. 30% of the marbles are blue and 40% of the marbles are green If there are a total of 150 marbles in the bag how many marbles are red?
Answer:
45
Step-by-step explanation:
If 30% of the marbles are blue and 40% are green, then the remaining 30% of the marbles are red. Now we have to find 30% of 150
We do (30/100)*150 which equals 45.
An athlete runs a distance of 345 metres (to the nearest metre) in a time of 44.6 seconds (to the nearest 0.1
second).
What is her slowest possible speed?
Answer:
7.716 (with margin: 0.001)
Step-by-step explanation:
speed = distance ÷ time
For speed to be at a minimim you need distancemin ÷ timemax
Min distance = 345 - 0.5 = 344.5m
Max Time = 44.6 + 0.05 = 44.65 sec
speedmin=344.5 ÷ 44.65 = 7.7155..... = 7.716 m/s (3 dp)
The slowest speed possible of the athlete is required.
The minimum possible speed of the runner is 7.7 m/s.
Speedd = Distance run by the athlete = 345 meters
t = Time taken by the athlete to cover the distance = 44.6 seconds
Speed is given by
[tex]s=\dfrac{d}{t}[/tex]
[tex]s=\dfrac{345}{44.6}[/tex]
[tex]s=7.735\approx 7.7 \text{m/s}[/tex]
The speed of the athlete should be at least 7.7 m/s any less than that and the athlete will not be able to cover the required distance in the given time.
Learn more about speed:
https://brainly.com/question/6504879
what two numbers does square root 128 lie between
Answer:
11 and 12
Step-by-step explanation:
[tex]\sqrt{128} =11.3[/tex]
meaning it lies between 11 and 12
Analyzing Bivariate Data
In this activity, you will draw a scatter plot and the line of best fit to analyze a situation.
Jeremy is on the planning committee for the rock climbing club. He is putting together a trip where members
can go outdoor rock climbing. He is trying to determine how high the group should climb and how long the
trip should last. He calls multiple parks in the area that offer rock climbing and collects data on the height of
the rock formations and the average time it takes people to reach the top and come back down. The data he
found is shown.
Time to Climb (min)
Height (ft)
It gives me a list of numbers in a chart
Time to climb : 30 ,45 , 115 , 87, ,160,60,135,117,55,145,95,150,67,120,100,88,138,75,167,120
Height: 85,120,289,194,434,241,351,339,180,400,248,370,155,296,271,255,315,215,405,317
Answer:
The line of best fit in scatter diagram, the variable have positive correlation.
Scatter Diagram is attached :
Step-by-step explanation:
Solve the following problem. Give the equation using x as the variable, and give the answer.
The sum of three times a number and 8 more than the number is the same as the difference between −22 and twice the number. What is the number?
Question content area bottom
Part 1
Write the equation using x as the variable. Choose the correct equation below.
A.
3x+(x+8)=−22−2x
B.
3x−8x=2x−(−22)
C.
3x−8x=−22−2x
D.
3x+(x+8)=2x−(−22)
Answer:
A. 3x + (x+8) = -22 - 2x
Step-by-step explanation:
Let the number equal x.
Set up the first half of the equation.
The sum of three times the number and 8 more than the number can be written as:
3x + (x+8)
Sum means that you add the components.
Set up the second half of the equation.
The difference between -22 and twice the number can be written as:
-22 - 2x
Difference means subtraction, and because -22 is written first, that is the number that you subtract from.
If you set the halves of the equation equal, you get:
3x + (x+8) = -22 - 2x
Therefore, the answer is A.
Last week, there were 40 problems assigned for math homework. Nisa did 55% of them correctly. How many problems did Nisa get right?
Answer:
she get 22 percent 22/40 is 40 she is bad XD
list down all the subsets of a set A={a, b, c, d}. What is the answer?
Answer:
The list of all subsets of a,b,c,d is ϕ ,{a},{b},{c},{d},{a,b},{a,c},{a,d},{b,c},{b,d},{c,d},{a,b,c},{a,b,d},{a,c,d},{b,c,d},{a,b,c,d}
The graph of y= -2x + 10 is:
A. a point that shows the yintercept. B. a line that shows only one solution to the equation.
C. a point that shows one solution to the equation.
D. a line that shows the set of all solutions to the equation,
Answer:
d is the right answer for your question
Let f(x) = x2 + 2x + 1 and g(x) = X - 4.
Identify the rule for f•g.
Answer:
(g ◦ f)(x) = g(f(x)) = cos(f(x)) = cos(7x2).
What is the area of a square with sides 12 m?
Answer:
144m²
Step-by-step explanation:
area is equal to side×side
side=12
=12×12
=144m²
Answer:
[tex]144m^{2}[/tex]
Step-by-step explanation:
Square = length * width
As everyone knows that the length and width of a square are the same, 12 times 12 equals 144.
How do you find the surface area of "most" 3D solids?
Surface area is the sum of the area of all faces
Which of the following is a radius of D?
A. AB
B. BD
C. BC
D. AC
Answer:
BD
Step-by-step explanation:
the radius of a circle is the line from the centre of the circle to a point on the circle, then
BD is the radius of the circle.
Renu save Rs. 3000 from her salary. If this is 10% of her salary what is her salary b) Find the area of parallelogram if the base is 20cm and the corresponding height is 5cm.
Population was 249583 and is now 318270. What percentage has it grown in 10 years
Answer:
By about 28% has the city grown over the past ten years.
Step-by-step explanation:
Ten years ago, the city's population was 249,583. Its current population is 318,270. By about 28% has the city grown over the past ten years. [ Solution: Population of the city before 10 years = 249583; Current population = 318270; Population grown =318270-249583 = 68687; 68687/249583 = 0.2752; 0.2752 x 100 = 27.52%. ]
Answer:
[tex] \frac{318270}{249583} = 1.277[/tex]
It has grown by 0.277;
by percentage this is;
[tex]0.277 \times 100 = 27.7[/tex]
27.7% increase
Complete each exercise.
Order from least to greatest.
1. 1, 7, -1, -7
Answer:
-7 -1 ,1 ,1 .7
Step-by-step explanation:
PLLEASEEE HELP !!!!!
In this arithmetic sequence, what is the common difference?
11, 8, 5, 2, ...
Answer:
-3
Step-by-step explanation:
11-3=8
8-3=5
5-3=2
hope this helps!!
A man earns rs 24000 per month and spends 70% of it find his monthly saving
Answer:
Savings=rs7200
Step-by-step explanation:
money spend=70% of 24000
=70/100*24000
=70*240
=rs 16800
savings=money earned-money spend
=24000-16800
=rs7200
Answer: rs 7200
Step-by-step explanation: So 70% of 24000 = 16800
24000-16800=7200
so he spends rs 16800 per month and has a saving of Rs 7200 per month from his monthly salary.
The Bakers want to sell their house for $145,500. After 2 months, the Bakers decided to mark down the price of their house 8% to sell more
quickly. How much are the Bakers selling their house for now?
Answer:
133 860
Step-by-step explanation:
145 500 x 0.92=133 860
Answer:
133860
Step-by-step explanation:
8 percent is 11640 so you subtract that from the original price
Daneesha is the head chef at a restaurant. She combines the olive oil from three equal-sized bottles. One bottle is 2/3 full. Another bottle is 1/2 full. The third bottle is 1/3 full. What is the total amount of olive oil Daneesha combines?
Answer:
the answer is 1 1/2 bottles
Step-by-step explanation:
5 The taxi goes by your hotel at 8:00, 8:15 and 8:30. The bus goes by your hotel at 8:00, 8:12 and 8:24. If neither the taxi or bus change their rates of speed, at what time will the bus and taxi arrive at the same time other than 8:00?
A box is 13.5 inches long, 9.25 inches wide, and 4.5 inches high. What is the volume of the box? Enter your answer, rounded to the nearest whole number, in the box.
Step-by-step explanation:
1st Step:
Volume of a cuboid : Length * Breath * Height
2nd Step :
Volume : 13.5 * 9.25 * 4.5
Which is equal to 561.9375
3rd Step:
Rounded up : 562
Answer:
562
Step-by-step explanation:
PLEASE HELPPP!!! 20 PTS!
solve for x and y
Answer:
x= 19
y= 14
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Which of the following numbers has the least number of 1’s in their binary representation? A) BAD(16) B) FED(16) C) CAB(16) D) ACE(16)
Note: the (16) means base 16
Answer: B
Step-by-step explanation: