Answer:
The length of the sloping section of the ramp is 20.12 m
Step-by-step explanation:
Given;
the total height of the bank, h = 2.8 m
The slope of the ramp must be 8° to the horizontal, i.e, θ = 8°
Let the length of the sloping section = L
let the horizontal distance between the height of the bank and sloping section = b
Thus, h, L and b forms three sides of a right angled-triangle, with L as the hypotenuse side, h (height of the triangle) as the opposite side and b (base of the triangle) as the adjacent side.
We determine L by applying the following formula;
Sinθ = opposite / hypotenuse
Sin θ = h / L
L = h / Sin θ
L = 2.8 / Sin 8
L = 2.8 / 0.13917
L = 20.12 m
Therefore, the length of the sloping section of the ramp is 20.12 m
what is the value of x ?
A. 85 B. 105 C. 75 D. 95
The value of the variable 'x' will be 85. Then the correct option is A.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
x + 40 + 55 = 180
Simplify the equation, then the value of 'x' is given as,
x + 40 + 55 = 180
x + 95 = 180
x = 180 - 95
x = 85
The value of the variable 'x' will be 85. Then the correct option is A.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
The missing diagram is given below.
The area of a square patio is 36 ft sq. What are the side measurements of the patio?
2 ft by 18 ft
4 ft by 9 ft
3 ft by 12 ft
6 ft by 6 ft
please hellppppp!
Answer:
6ft by 6 ft
Step-by-step explanation:
area of a square =length*width whereas they are supposed to be of the same measurements
If you were an integer, which integer would you be and why?
Answer:
6
Step-by-step explanation:
Because my lucky num is 6
Answer: 7
Step-by-step explanation:because it is one of my favorite integers
A strong man can carry a maximum of 160 kg. Each bag of rice weigh 25 kg. How many full
bags of rice can he carry? Will there be rice left?
Answer:
6 full bags of rice.
0.4 kg of rice will be left.
Step-by-step explanation:
The man can carry a max of 160 kg.
1 bag of rice weighs 25 kg.
160/25 = 6.4
He can carry 6 full bags of rice.
Yes, there will be rice left.
0.4 kg of rice will be left.
Answer:
He can carry 6 whole 2/5 of the rice and 3/5 of rice in one bag would be left.
Step-by-step explanation:
Man can carry = 160 kg
1 bag of rice = 25 kg
He can carry = [tex]\frac{160}{25}[/tex]
=> [tex]6\frac{2}{5}[/tex]
He can carry 6 whole 2/5 of the rice and 3/5 of rice in one bag would be left.
Use the graph to fill in the blank with the correct number. f(−2) = ________ Numerical Answers Expected! Answer for Blank 1:
Answer:
2
Step-by-step explanation:
check the point where the x is -2
what is its y-value ?
this is 2, right?
it means that f(-2)=2
Answer:
2
Step-by-step explanation:
A ball is thrown straight up from the top of a 40 feet tall building with an initial speed of 24 feet per second. The height of the ball as a function of time can be modeled by what function h(t) = _________________ 1. after how many seconds the ball hit the ground. 2.What is the maximum height of the ball? 3.How long did it take for the ball to reach its maximum height?
Answer:
1)The ball hits the ground after 3 seconds.
2)The maximum height of the ball is 49 feet
3)It takes 1.25 seconds to reach its maximum height
Step-by-step explanation:
Height of building = 40 feet
We are given that A ball is thrown straight up from the top of building with an initial speed of 24 feet per second.
So, The height of the ball as a function of time can be modeled by: [tex]h(t)=-16t^2+40t+24[/tex]
1)After how many seconds the ball hit the ground.
Substitute h(t)=0
So,[tex]-16t^2+40t+24=0\\-2t^2+5t+3=0\\2t^2-5t-3=0\\2t^2-6t+t-3=0\\2t(t-3)+1(t-3)=0\\(2t+1)(t-3)=0\\t=\frac{-1}{2} , 3[/tex]
Since time cannot be negative
So,the ball hits the ground after 3 seconds.
2)What is the maximum height of the ball?
It takes maximum height at vertex
Formula : [tex]t = \frac{-b}{2a}[/tex]
[tex]t=\frac{-40}{2(-16)}=1.25 seconds[/tex]
Substitute the value of t in function
[tex]h(1.25)=-16(1.25)^2+40(1.25)+24\\h(1.25)=49 feet[/tex]
So,the maximum height of the ball is 49 feet
3).How long did it take for the ball to reach its maximum height?
It takes 1.25 seconds to reach its maximum height
find the value of x such that I | m.
Answer:
x=16
Step-by-step explanation:
37+(3x+5)=90 (because its a right angle)
3x+5=90-37=53
3x=53-5=48
x=48/3
=16
A bank exchanges United States currency for British courrency at the rate of 1.60 dollars to the £ .
(a) Calculate,in dollars,the amount received for £ 150.
(b) Calculate,in £ ,the amount paid $ 500 by a customer.
Answer:
Remember that £ has a greater value compared to $ and vice versa.
The size of the red squirrel population has decreased exponentially
over the past few years in the UK.
The rate of decrease is 15% per year.
At the start of 2016 there were an estimated 10000 red squirrels in the UK.
Estimate the size of the population of red squirrels in the UK at the start of 2010.
Give your answer to 3 significant figures.
Answer:
The size of the population of red squirrels in the UK at the start of 2010 is 3772
Step-by-step explanation:
At the start of 2016 , No. of squirrels = 10000
The rate of decrease is 15% per year.
So, No. of squirrels after x years = [tex]10000(1-0.15)^x[/tex]
We are supposed to find the size of the population of red squirrels in the UK at the start of 2010.
So,No. of squirrels after 6 years = [tex]10000(1-0.15)^6=3771.49[/tex]
Hence the size of the population of red squirrels in the UK at the start of 2010 is 3772
Answer:
Step-by-step explanation:
The population in 2016 is 10,000 but we re trying to find the population in 2010.
Let the start population be P.
Then P*(1-0.15)^6 = 10000
P*(0.85)^6 = 10000
P = 10000 / (0.85)^6
P = 26514.6834
In 2010 :
P = 26500 to 3 significant figures
There are 9 red, 8 blue, 5 green, and 15 white marbles in a jar. If I cannot see the marbles, what is the fewest number of marbles I must pick, without replacement, in order to guarantee that 3 of the marbles are of different colors?
Answer:
25
Step-by-step explanation:
can someone pls explain how you find the x intercept and how to solve a slope intercept form question????
Answer:
See below
Step-by-step explanation:
Let me give you an example to help;
[tex]y = 2x + 3[/tex]
This equation is in slope - intercept form, which can be demonstrated through the following notation -
[tex]y = mx + b - Where, m = slope, and, b = y - intercept[/tex]
Now to solve for the x - intercept, we will have to propose y as 0;
[tex]0 = 2x + 3,\\2x = - 3,\\x = - 3 / 2 = - 1 and 1 / 2[/tex]
Thus the x - intercept = - 1 and 1 / 2;
* Note that you can't solve a slope intercept form equation, unless it is a system of equations, and if that is the case just let me know and I can help you out with that *
What is -2/3 divided by 2 1/4=?
Answer:
-8/27
Step-by-step explanation:
Convert 2 1/4 into a improper fraction: 9/4
Rewrite the equation: -2/3 divided by 9/4
To divide fraction, multiply by the reciprocal of that fraction
Reciprocal of 9/4: 9/4
Multiply the fractions: -2/3 times 4/9
=-8/27
Answer:
-8/27
Step-by-step explanation:
-(2/3) ÷ (2 1/4 ) (convert 2 1/4 into improper fraction)
= -(2/3) ÷ (9/4) (convert ÷ to x by taking the reciprocal of 9/4)
= -(2/3) x (4/9)
= -(2 x 4) / (3 x 9)
= -8/27
What’s this someone answer for 13 points
Which of the following is the correct first step to solve 5x^2 - 20x = -15 by completing the square? 1. Add 100 to both sides. 2. Divide all terms by 5. 3. Divide all terms by -5. 4. Add 15 to both sides.
Answer:
3. Divide all terms by 5Step-by-step explanation:
given any quadratic equation ([tex]5x^2 - 20x = -15[/tex])
the steps to follow accordingly are
make the coefficient of the [tex]x^2[/tex] term to be 1 (divide all terms by the coefficient of [tex]x^2[/tex])Add 15 to both sides.Solve the completed squares.Answer:
The answer is Divide all terms by 5.
Step-by-step explanation:
I got it right on my test
May I please get help with all the questions
Answer:
1. g(3) = 1
2. (f + g)(2) = f(2) + g(2) = 2 + 3 = 5
3. f(g(4)) = 2
4. g(f(4)) = 1
5. f(f(4)) = 2
6. g(g(2)) = 1
7. base on the chart, the value 3 of g(x) can be gain only for x = 0
Do your magic!!!...If you can’t see it’s x to the fifth over negative x and you need to divide them
Answer:
-x⁴
Step-by-step explanation:
x⁵/(-x)= -x⁴
Jessi sold half her comic books. Then, she bought 9 more. She now has 11 total. How many did she begin with?
Answer: she begin with 6.
Step-by-step explanation:
At the beggining she had A books.
She sold half of that, so now she has A/2 books.
She bought 9, so now she has A/2 + 9 books,
And we know that A/2 + 9 = 11 books
So A/2 = 11 - 9 = 3
A = 2*3 = 6
So she started with 6 books
Answer:
She began with 4 books
Step-by-step explanation:
Let the original number of Jessi Comic books be x
When She sold half of the comic books, she has ( x - x/2) = x/2 left
When she bought 9 more, she has 11 in total. That is, x/2 + 9 = 11
x/2 = 11 - 9
x/2 = 2
x = 2 * 2
x = 4
She began with 4 books
20 POINTS !! PLEASE ANSWER THIS QUESTION !!
Answer:
a.
Step-by-step explanation:
It is not a negative so it can’t be c or d I think it is a
Answer:b
Step-by-step explanation:
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
5 years old
Step-by-step explanation:
Kevin= k
Daniel= d
k=d+3k-2=(d-2)*4 ⇒ k-2= 4d-8 ⇒ d+3-2 = 4d-8 ⇒ 3d=9 ⇒ d=3 ⇒ k=d+3=5k=5Answer:
Kevin is 6 now
Step-by-step explanation:
K= D+3
2 years ago K-2 =4 (D-2) plug in D+3 for K
D+3-2=4D-8
D+1 =4D-8 rearrange equation by subtracting D and adding 8
9 = 3D
D =3 so K =6
Nancy prepared 12 kilograms of dough after working 6 hours. How much dough did Nancy prepare if she worked for 10 hours? Solve using unit rates.
Answer:
20 kilograms of dough
Step-by-step explanation:
Given that;
12 kilograms working 6 hours
Rate = 12/6 kilogram per hour = 2 kilogram per hour
So,
In 10 hours he would produce;
Amount of dough = Time × rate
Time = 10 hours
= 10 hours × 2 kilograms per hour
= 20 kilograms of dough
Answer:
20 kilograms of dough
Step-by-step explanation:
Given;
12 kilograms of dough for 6 hours
how many of this will be produced in 10 hours ?
= (12 x 10) / 6
= 20 kilograms of dough
=
Pls answer. i will mark u as branliest
Answer:
540°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
A pentagon has n = 5, thus
sum = 180° × 3 = 540°
A hemisphere fake stone made of clay has a diameter of 16 inches. The density of clay is 0.0035 pounds per cubic inch. The clay is sold by one pound increments only and costs $4.59 per pound. How much would it cost to buy enough clay to make 8 complete hemisphere stones?
Answer:
$137.82
Step-by-step explanation:
The volume of a hemisphere stone is given by the volume of a half-sphere:
Volume = (2/3) * pi * radius^3
If the diameter is 16 inches, the radius is 16/2 = 8 inches, so the volume is:
Volume = (2/3) * pi * 8^3 = 1072.33 in3
We need a total of 8 stones, so the total volume is:
Total Volume = 8 * 1072.33 = 8578.64 in3
The density of clay is 0.0035 pounds per cubic inch, so the total weight of the 8 stones is:
Weight = Total Volume * density = 8578.63 * 0.0035 = 30.0252 pounds
Finally, if the price of each pound of clay if $4,59, the final price is:
Price = 30.0252 * 4.59 = $137.82
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer:
At the time of launch height of the object was 60 meters.
Step-by-step explanation:
An object was launched from a platform and its height was modeled by the function,
h(x) = -5x² + 20x + 60
Where x = time or duration after the launch
At the time of launch, x = 0
So, by putting x = 0 in this equation,
h(0) = -5×(0) + 20×(0) + 60
h(0) = 60
Therefore, at the time of launch height of the object was 60 meters.
PLEASE HELP which of the following represents a point? a)the edge of a blackboard b)the stars in the sky c)the surface of a table d)the entire classroom
i belive its b
ANSWER
In training for a triathlon, Yuna swam 1.9 miles in the open ocean, which took her 2 hours. For the first part of her swim, she averaged 1.4 miles per hour. For the second part of her swim, she swam against the current and started to tire, so her average speed decreased to 0.8 mph. What was the distance of the first part of Yuna's swim? Round to the nearest tenth as needed. The distance in the first part of her swim was ___ miles.
Answer:
0.7
Step-by-step explanation:
follow the steps........
Answer:
0.7
Step-by-step explanation:
Got it right on edge
If |x−2|=p, where x<2, then x−p = (A) −2 (B) 2 (C) 2−2p (D) 2p−2 (E) |2p−2|
Answer:
A
Step-by-step explanation:
is the answer because x-x = 0
since -2 is left that's the answer!
What is the measurement of v
The answer is 58 degrees.
Which statement is true regarding the functions on the
graph?
WN
(6)
f(3) = 9(3)
f(3) = g(6)
(6) - 9(6)
-124
Answer:
the last one
Step-by-step explanation:
I’m not getting these at all
Answer:
[tex]\frac{a}{1 +bc} = x[/tex]
Step-by-step explanation:
In this question, it appears that you need to solve this equation in terms of x.
Beginning with the equation a = x(1 + bc), we must isolate the 'x' variable and make an equation equivalent to 'x'. This can be done by:
a = x(1 + bc)
Divide (1 + bc) from both sides, giving you:
[tex]\frac{a}{1 +bc} = x[/tex]
Can someone please help me with this!!
Answer:
33.7°
Step-by-step explanation:
The smallest angle -> opposite of the smallest side
Smallest side = 10yards
Calling this angle a
we have 10^2 = 15^2 +18^2 -2*15*18*cosa
-> cos a=0.83
cos^-1(a)=0.83 -> a =33.7 degree
