Answer:
5.8 feet
Step-by-step explanation:
this problem uses a 30-60-90° triangle
the ratio of sides in a 30-60-90° triangle, respectively, are 1 : [tex]\sqrt{3}[/tex] : 2
let 'h' = height of ramp
we can use this proportion, then cross-multiply:
10/h = [tex]\sqrt{3}[/tex]/1
[tex]\sqrt{3}[/tex]h = 10
h = 10/[tex]\sqrt{3}[/tex]
after rationalizing the denominator we get:
(10[tex]\sqrt{3}[/tex] ) ÷ 3 which is approximately 5.8 feet
Using the trigonometric ratio, the height of the ramp is 5.77 feet.
Length of bicycle ramp = 10 feet
Angle with the ground = 30°
What is the sine of an angle?The tangent of an angle is the ratio of the opposite side to the adjacent of the triangle.
Suppose the height of the ramp is h.
So, [tex]tan30=\frac{h}{10}[/tex]
[tex]h=10tan30[/tex]
[tex]h=\frac{10}{\sqrt{3} }[/tex]
[tex]h=5.77[/tex] feet.
So, the height of the ramp is 5.77 feet.
Hence, using the trigonometric ratio, the height of the ramp is 5.77 feet.
To get more about the trigonometric ratios visit:
https://brainly.com/question/24349828
PLease help its urgent
Tan(angle) = opposite leg/ adjacent leg
Tan(75) = 15/x
X = 15/tan(75)
X = 4.0 feet
Answer:
Solution given;. we have
Tan75=perpendicular /base
base=15/tan75=4.01=4 feet is your answer
A blueberry muffin is on sale for 5% off. It's sale price is $1.90. What was the original price?
Answer: $2.00
Step-by-step explanation:
The best way to do this here is just use quick calculation.
5% of 1 is 0.05. 5% of 2 would be double that, or 0.1.
2.00 - 0.10 is 1.90.
Answer:
The original price was $2.
Step-by-step explanation:
The muffin is on sale for 5% off. This means it is being sold for 95% of its original price.
Its sale price is $1.90. This means that 95% of its original price is 1.90.
Let's set up an equation.
95% of original price is $1.90.
0.95 • x = 1.90
Divide both sides by 0.95 to isolate x.
x = 2
The original price was $2.
Hope this helps!
2. 3, 6, 12, 24, 48, 96, ….
Circle one: Arithmetic or Geometric
Fill in the value of d = _____ or r = ______
Identify the value of the 5th term: _________
Answer:
geometric with r = 2
Step-by-step explanation:
An arithmetic sequence has a common difference between consecutive terms
6 - 3 = 3
12 - 6 = 6
24 - 12 = 12
48 - 24 = 24
96 - 48 = 48
As we see the differences are not common, so not arithmetic
A geometric sequence has a common ratio between consecutive terms.
6 ÷ 3 = 2
12 ÷ 6 = 2
24 ÷ 12 = 2
48 ÷ 24 = 2
96 ÷ 48 = 2
There is a common ratio of 2, so sequence is geometric
with 5th term = 48
Find two numbers that meet the requirements of the situation in each question. Put the smaller of the two numbers in the first blank and the larger of the two numbers in the second blank. One answer is positive and the other is negative. Give the negative answer first.
Multiply to give you -64 and add to give you 0.
Answer:
-8, 8 are the numbers
Step-by-step explanation:
8x-8 = -64
8+ -8 =0
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:30
Step-by-step explanation:
60 plus 30 equals 90 so common sense says that’s the answer
Answer:
30
Step-by-step explanation:
If 4(x + 2) = 36, then x =
Answer: 7
Step-by-step explanation: use algebra to solve this. 4(x+2)=36
4x+8=36
4x+8-8=36-8
4x=28
x=7
Hope this helps
Answer:
x = 7
Step-by-step explanation:
4(x + 2) = 36
4x + 8 = 36
4x + 8 - 8 = 36 - 8
4x = 28
4x ÷ 4 = 28 ÷ 4
x = 7
Check:
4(x + 2) = 36
4(7 + 2) = 36
4(9) = 36
Brainliest goes to whoever answers correctly try to show work ONLY if you can
Austin thinks that the inequality 6x - 4y is greater than or equal to 10 should be shaded above the boundary
line because it uses the greater than or equal to inequality
symbol. Is he correct? Explain.
Answer:
no, you shade below the line. you'd have to turn the inequality into slop intercept form, meaning y[tex]\leq[/tex]3/2x-5/2.
What part is labeled on this normal curve?
A. The mean
B. The variance
C. The standard deviation
D. The area
Answer: Standard Deviation
Step-by-step explanation:
I got it right on Acellus
If (-10,8) is a point on the terminal side f a angle 0 in standard position what is the value of tan0?
Answer:
The value of the tangent is [tex]-\frac{4}{5}[/tex].
Step-by-step explanation:
Let be [tex]A(x,y) = (-10, 8)[/tex] on the terminal side of an angle in standard position and let be [tex]O(x,y)[/tex] the origin of the angle and the origin of the Cartesian plane. By definition of tangent, we make use of the following expression:
[tex]\tan \theta = \frac{y_{A}-y_{O}}{x_{A}-x_{O}}[/tex] (1)
Where:
[tex]x_{A}, x_{O}[/tex] - x-Coordinates of point A and point O.
[tex]y_{A}, y_{O}[/tex] - y-Coordinates of point A and point O.
If we know that [tex]x_{A} = -10, x_{O} = 0[/tex], [tex]y_{A} = 8[/tex] and [tex]y_{O} = 0[/tex], then the value of the tangent is:
[tex]\tan \theta = \frac{y_{A}-y_{O}}{x_{A}-x_{O}}[/tex]
[tex]\tan \theta = \frac{8-0}{-10-0}[/tex]
[tex]\tan \theta = -\frac{4}{5}[/tex]
What is 8 to the power of 4?
Answer:
4096
Step-by-step explanation:
a line passes through the point (0,-3) and has a slope of -2 what is the equation of the line?
Answer:
y = -2x - 3
Step-by-step explanation:
y = -2x + b
-3 = -2(0) + b
-3 = 0 + b
b = -3
19. A ladder leans against the wall and reaches a point
24 feet up the wall. The base of the ladder is 6 feet
from the wall. To the nearest degree, what angle
does the ladder make with the wall?
D
24
E 6 F
Answer: 14
Step-by-step explanation:
How many lines of symmetry does this triangle have
Answer:
Option A:1 line of symmetry
If you deposit $10,000 into an account that pays 6.5% interest compounded semiannually, how much money will you have
after 7 years?
Answer:
PV = $10,000(1/1+6.5%^2x7) It is 7 years semiannually, which means 2 interest payments each year.
Step-by-step explain
Round it to the nearest $100
find this out by using
A=P(1+r/n)^ntnation:
hope this helps
What is the equation for this trig function?
(Open ended question)
Which trig function is the best representation for this graph?
A. sin (x)
B. - sin (x)
C. - cos (x)
D. cos (x)
Assuming that the scale for the y-axis is one box represents it be unit what could be the amplitude of this function?
A. 1
B. -1
C. 3
D. -3
Answer:
A. y = cos x
Step-by-step explanation:
The function that we see graphed has the point (0,1), this means whichever trig function f(x) it represents f(0) = 1.
Now, only the cosine function has the property that cos(0) = 1, thus choice A is the correct answer.
Step-by-step explanation:
Joan bought a 3-pound bag of shrimp for 19.55. What is the unit price per ounce of shrimp?
Answer:
$0.407291667 per ounce
Step-by-step explanation: there are 16 ounces in a pound. 16 times 3 is 48.
in order to find the price per ounce, we need to divide the total price by the number of ounces
19.55/48 is 0.407291667
How do I find the vertex and the standard form? Plz explain
Answer:
Vertex form
y = -4(x + 3)^2 + 10
Standard form;
y = -4x^2-24x - 26
Step-by-step explanation:
Mathematically, we have the vertex form as
y = a(x-h)^2 + k
(h,k) represents the vertex
We have h as -3 and k as 10
y = a(x+3)^2 + 10
To get a, we substitute any of the points
Let us use (-1,-6)
-6 = a(-1+3)^2 + 10
-6-10 = 4a
4a = -16
a = -16/4
a = -4
So we have the equation as;
y = -4(x+3)^2 + 10
For the standard form;
We expand the vertex form;
y = -4(x + 3)(x + 3) + 10
y = -4(x^2 + 6x + 9) + 10
y = -4x^2 - 24x -36 + 10
y = -4x^2 -24x -26
Please help me! I'm asking for help I need all the help I can get.
Answer:
45
Step-by-step explanation:
If I traveled 240 miles if a car goes 240 miles in 4 hours how far could it go in 6 hours and 30 minutes
Answer:
390 miles
Step-by-step explanation:
[tex]\frac{6.5}{4} :\frac{y}{240}[/tex]
y · 4 = 240 · 6.5
4y = 1560
4y ÷ 4 = 1560 ÷ 4
y = 390
HELPPP PLEASE I HAVE A TEST!!
Answer:
180
Step-by-step explanation:
The two angles on the line should add up to 180! Because a straight line is 180 degrees!
HURRY! please help i’ll give brainliest
Answer:
The first and third options.
Explanation:
Look at each column and add the number of families.
Meg is decorating a ballroom ceiling with garland the width of the rectangle ceiling is 42 meters and the diagonal distance from one corner to the opposite corner is 70 metere . How much garland will meg need for the length of the ceiling
Answer:
[tex]47.3\,m[/tex] of garland is required for the length of the ceiling.
Step-by-step explanation:
Width of a rectangle ceiling [tex](w)=42 \,m[/tex]
Diagonal of a rectangle ceiling [tex](d)=70\,m[/tex]
Let [tex]l[/tex] denotes length of a rectangle ceiling.
The relationship between length, width and diagonal of a rectangle is given as follows:
[tex]d^2=l^2+w^2\\70^2=l^2+42^2\\4900=l^2+1764\\l^2=4900-1764\\l^2=2236\\l=47.3\,m[/tex]
So,
[tex]47.3\,m[/tex] of garland is required for the length of the ceiling.
PLZZZ HELP RN ASAP TYSM
Help me please ASAP !!!!
Answer:
A, the first one
Step-by-step explanation:
solve for v.
v/6=19.2
Answer:
115.2
Step-by-step explanation:
I used Photo math and searched it hope this helps
PLEASE HELP WILL MARK U BRAINLIEST
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Answer:
No
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Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Answer:
[tex]\pi = \frac{22}{7} = 3.143143[/tex]
Step-by-step explanation:
But my question is, what's your question??
Answer:
49π
Explanation:
I did the assignment on khan
Jeremy ran a mile in 5 minutes and 8 seconds. Write the time in minutes as a decimal.
Answer:
5.133333
Step-by-step explanation:
You flip a fair coin 24 times. About how many times would you expect heads to appear? If a fair coin is flipped 24 times then heads should appear about times.
Answer:
12 50/50 chance
Step-by-step explanation: