You are building a ramp that must cover a horizontal distance of exactly 17 feet. The angle of the ramp from the ground is 24°. Determine the length of the ramp, in feet.
The length of the ramp is 6.91 feet
Given data:
To determine the length of the ramp, we can use trigonometry. So, use the sine function, which relates the angle of the ramp to the ratio of the opposite side (length of the ramp) to the hypotenuse (the distance the ramp covers).
Given that the angle of the ramp is 24°, set up the equation:
sin(24°) = opposite/hypotenuse
The opposite side is the length of the ramp and the hypotenuse is the distance it covers, which is 17 feet.
sin(24°) = length of the ramp / 17
To find the length of the ramp, rearrange the equation:
The length of the ramp = sin(24°) * 17
L ≈ 6.91 feet
Hence, the length of the ramp is approximately 6.91 feet.
To learn more about trigonometric relations, refer:
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Answer:
Land slide
Step-by-step explanation:
I think you can see how, its litteraly land that is sliding
Graph the equation y = x2 + 8x + 12 on the accompanying set of axes. You must
plot 5 points including the roots and the vertex. Using the graph, determine the
vertex of the parabola.
Answer:
Step-by-step explanation:
Roots: set y = x^2 + 8x + 12 = 0 and solve for x: x + 6 = 0, so x = -6 is one root. The other is x = -2. The corresponding points are (-6, 0) and (-2, 0).
y-intercept: Let x = 0. Then y = 12. The y-intercept is (0, 12).
Axis of symmetry: x = -b / (2a) => x = -8/(2*1) = -4: x = -4
Vertex y-value: evaluate y at x = - 4: (-4)^2 + 8(-4) + 12 = -4: (-4, -4)
Arbitrarily chosen x value: x = 1 => 1^2 + 8(1) + 12 = 21: (1, 21)
The five points are: (-6, 0) and (-2, 0), (0, 12), (-4, -4), (1, 21). The vertex is (-4, -4). The parabolic graph opens UP.
The vertex of the parabolic equation y = x² + 8x + 12 will be at (-4, -4).
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.
Then the equation of the parabola will be given as,
y = a(x - h)² + k
The equation is given below.
y = x² + 8x + 12
Conver the equation into a vertex form. Then we have
y = x² + 8x + 12
y = x² + 8x + 16 - 16 + 12
y = (x + 4)² - 4
The vertex of the parabolic equation y = x² + 8x + 12 will be at (-4, -4).
The graph is given below.
More about the equation of the parabola link is given below.
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6^2=?
What math of this
Answer:
its 6th grade math but the answer is 36
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
when you have an exponent of 2. you times/multiply the number by itself
In a class of 30 students, 21 play an instrument and 8 play a sport. There are 7
students who do not play an instrument or a sport. What is the probability that a
student does not play a sport given that they play an instrument?
Step-by-step explanation:
The formula for probability is favourable outcome/ Total outcome. So the answer might be 7/30.
Pls help will mark brainliest
Answer:
[tex]x\geq 2[/tex]
Step-by-step explanation:
The parent function, [tex]y=\sqrt{x}[/tex], has a domain of [tex]x\geq 0[/tex] or [tex][0, \infty)[/tex], because the value under the radical cannot be less than 0 (we cannot take the square root of a negative number). Thus, by setting everything inside the radical to 0, we can find the domain of this function:
[tex]x-2\geq 0,\\x\geq 2[/tex]
Thus this domain of this function is:
As an inequality: [tex]x\geq 2[/tex] (desired in problem)
In interval notation: [tex][2, \infty)[/tex]
Name all the quadrilaterals that have the given attributes
four congruent sides
Answer: A Rhombus has 4 congruent sides .
!!!!!!!!!!!!!!!!!!!!!!!HELP!!!!!!!!!!!!!!!!!!!!!!!!!! please solve
Answer:
24,000 for 20 years
Step-by-step explanation:
Because 4% of 100K=4K
Add them is 24K
Answer the question right for brainliest
Answer:
3 to the power 9 is the answer
Answer:
[tex] 3^9 [/tex]
Step-by-step explanation:
[tex] 3^8 \times 3 = 3^8 \times 3^1 = 3^{8 + 1} = 3^9 [/tex]
Please help me out I will give brainliest to the first correct answer
Answer:
It's D I believe because y is the total cost . $2.50 is being added per pound of berries they pick which represents x. Then you add the $3 payed to enter the farm. Hopefully it's righttt :)
find the equation of the parabola with its focus at (5,0) and it’s directrix y=2
Answer:
Option A
Step-by-step explanation:
From the question given in the picture attached,
Directrix of the parabola → y = 2
Focus of the parabola → (-5, 0)
Since, focus is below the directrix, parabola will open open downwards.
Equation of the parabola will be in the form of,
y - k = -4p(x - h)²
Here, (h, k) is the vertex of the parabola
p = Distance between vertex and focus or distance between vertex and directrix
Since, distance between vertex and focus = Distance between vertex and directrix
Therefore, vertex of the parabola → (-5, 1)
Now distance (p) between vertex (-5, 0) and focus (-5, 1) = 1 unit
By substituting these values in the equation,
y - 1 = -4(1)[x - (-5)]²
y - 1 = -4(x + 5)²
y = -4(x + 5)² + 1
Option A will be the answer.
Yh Helllpppp I will give brainliest!
Step-by-step explanation:
TSA = 3543.72 hope its helpfull
ADD root of 5 +2 root of 2 and root of 2 - 5root of 3
Add :
→ (√5 + 2√2) & (√2 - 5√3)
Putting the sign of plus at the place of &.→ (√5 + 2√2) + (√2 - 5√3)
Removing the brackets.
→ √5 + 2√2 + √2 - 5√3
→ √5 + (2 + 1)√2 - 5√3
→ √5 + 3√2 - 5√3
Therefore, the required answer is √5 + 3√2 - 5√3.
please explain so I can understand
Answer:
well im pretty sure its ( 1,1,3)
Step-by-step explanation:
21-1-2
f(x) = -8 (5-x), what is the value of f(-4)?
Answer:
f(-4) is basically just saying that you need to use the function given while x = -4.
The function given:
f(x) = -8(5-x)
We see that f(-4) means that x has to be -4, so we can substitute it in:
f(-4) = -8(5-(-4))
f(-4) = -8(9)
f(-4) = -72
Therefore, f(-4) is -72.
What is the missing number in the pattern below?1, 4, 2, ______, 3
The radius of a circle is 7 miles. What is the circle's circumference? 3.14 pi
Answer:
C = 43.96 miles
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
C = 2 * 3.14 * 7
C = 43.96 miles
Lesson 4: If - Else is covered in the video below. Click play on the first video to start the lesson. This lesson includes programming, so be sure to pause the videos to edit and write code in the programming environment when prompted.
Download the slides used in the videos below if you'd like to follow along.
Wait… what lesson? I am confused :/
Help asap please I really need it
Answer:
10 inches
Step-by-step explanation:
2/5 + 2/5
Help my sister
Step-by-step explanation:
2/5+2/5(2+2)/54/50.8stay safe healthy and happy...Answer:
4/5
Step-by-step explanation:
2 + 2 = 4
5 + 5 = 5
4/5
28 POINTS identify the mathematical model that would best fit the data
The circumference of the ellipse approximate. Which equation is the result of solving the formula of the circumference for b?
c=2\pi \sqrt{a^2+b^2} /2
Answer:
[tex]b = \sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}}[/tex]
Step-by-step explanation:
Given - The circumference of the ellipse approximated by [tex]C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }[/tex]where 2a and 2b are the lengths of 2 the axes of the ellipse.
To find - Which equation is the result of solving the formula of the circumference for b ?
Solution -
[tex]C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }\\\frac{C}{2\pi } = \sqrt{\frac{a^{2} + b^{2} }{2} }[/tex]
Squaring Both sides, we get
[tex][\frac{C}{2\pi }]^{2} = [\sqrt{\frac{a^{2} + b^{2} }{2} }]^{2} \\\frac{C^{2} }{(2\pi)^{2} } = {\frac{a^{2} + b^{2} }{2} }\\2\frac{C^{2} }{4(\pi)^{2} } = {{a^{2} + b^{2} }[/tex]
[tex]\frac{C^{2} }{2(\pi )^{2} } = a^{2} + b^{2} \\\frac{C^{2} }{2(\pi )^{2} } - a^{2} = b^{2} \\\sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}} = b[/tex]
∴ we get
[tex]b = \sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}}[/tex]
The largest jaw breaker in a store is spherical with a radius of 2 in. and sells for $4.00. A
store wants to make a 6 in. radius jaw breaker. How much should they charge for this
foot long jaw breaker?
Answer:
$12
Step-by-step explanation:
Given data
Radius= 2in
cost = $4
New jaw breaker radius= 6in
cost=???
If 2 in jaw breaker cost $4
6in jaw breaker will cost x
cross multiply
6*4= 2*x
24= 2x
x= 24/2
x= $12
Hence the 6 in jawbreaker will cost $12
HELP PLEASE ASAP PLEASE TYSM TYSM WILK+L MARK BRAINLIEST! IF YOU PUT IN A RANDOM ANSWER YOU WILL BE REPORTED TYSM HELP ASAP PLEASE TYSM
Answer:
6.25
Step-by-step explanation:
What percent of 3/4 is 3/8 ? (Round to the nearest whole percent)
I think the answer is 2 percent
hope this is answer
The distance between mumbai and dubai is about 1940 km if the cruising speed of the emirates flight is 595 km/hr how long does it take to reach dubai from mumbai
Answer:
3.26 hours
Step-by-step explanation:
speed = distance / time
595 = 1940 / t
t = 1940 / 595 = 3.26 hours
or
round your answer to the nearest hundredth
Answer:
hi
Step-by-step explanation:
To round a number to the nearest hundredth , look at the next place value to the right (the thousandths this time). Same deal: If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the hundredths place, and then remove all the digits to the right.
Answer:
Step-by-step explanation:
let the missing angle be x
take 65 degree as reference angle
use tan rule
tan 65=opposite/adjacent
2.14=x/7
2.14*7=x
14.98=x
The function g(x) is described in the table below what is g(0)+g(4)?
Let's take a look at our table here in order to solve the problem. We need to know what g(0) and g(4) are to be able to solve.
Since we are plugging in x-values and looking for y-values, we simply need to find 0 and 4 on the left side of the table (the x side), and then find their corresponding g(x), or y, values.
g(0) = -5
g(4) = -4
Now, all that's left to do is add these two values.
-5 + -4
-9
Hope this helps!! :)
Answer:
- 9
Step-by-step explanation:
g(0) = - 5 ← value of g(x) when x = 0
g(4) = - 4 ← value of g(x) when x = 4
Then
g(0) + g(4) = - 5 + (- 4) = - 5 - 4 = - 9
hey! i’ll give brainliest please help
Please help me please