Answer:
Step-by-step explanation:
We know that the angle of elevation is 8 degrees.
We know that the height of the opposite side of the angle is 3 feet.
We want to know the adjacent side (the side from the start of the ramp to the bottom of the opposite side)
We can do this with tangent
[tex]tan(8) = \frac{3}{adj} \\adj = \frac{3}{tan(8)} \\adj = 21.34611 feet[/tex]
The distance between the ramp and the door can be calculated using the principle of Pythagoras, Hence, the distance should be 21.34 feets
Angle of elevation = 8°Rise = opposite = 3 feets Distance, d = adjacentUsing SOHCAHTOA :
Tanθ = Opposite / Adjacent
Tan(8°) = 3 / d
0.1405408 = 3 / d
0.1405408d = 3
Divide both sides by 0.1405408 to isolate d
0.1405408d / 0.1405408 = 3 / 0.1405408
d = 21.34 feets
Therefore, the distance of the ramp from the door should be 21.34 feets
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Write the equation of the line in y = mx + b form.
I need help
========================================================
Explanation:
The two points on this line are (-1,5) and (0,1)
Let's use the slope formula
m = (y2-y1)/(x2-x1)
m = (1-5)/(0-(-1))
m = (1-5)/(0+1)
m = -4/1
m = -4
The slope is m = -4
If we started at (-1,5) and moved down 4 and to the right 1, then we arrive at (0,1). The motion "down 4, right 1" is directly tied to the slope -4 since -4 = -4/1 = rise/run
The y intercept is b = 1 since this is the location where the graph crosses the y axis.
With m = -4 and b = 1, we go from y = mx+b to y = -4x+1
Misha found that the equation –|2x – 10| – 1 = 2 had two possible solutions: x = 3.5 and x = –6.5. Which explains whether or not her solutions are correct?
She is correct, because both solutions satisfy the equation.
She is not correct, because she made a sign error.
She is not correct, because there are no solutions.
She is not correct, because there is only one solution: x = 3.5.
She is not correct, because there are no solutions. (Option C).
What is an equation?An equation refers to any mathematical statement that contains the equality sign. Now we can see in the equation that there is a negative sign before the absolute value.
Now we have;
–|2x – 10| – 1 = 2
–|2x – 10| = 3
This is not possible because the absolute value does not return a negative value and the expression can never equal 3.
Thus, she is not correct, because there are no solutions.
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How many ways can six slices of pepperoni pizza and three slices of cheese pizza be divided among five students if one of the students is a vegetarian?
Answer: Vegan student gets 9/5 cheese slices
The rest of the 4 students get each: 5/5 slices of pepperoni + 1/2 slice of Pepperoni + 3/10 slice of cheese.
Step-by-step explanation:
6 slices of Pepperoni + 3 slices of cheese = 9 slices total. We need to divide the slices among 5 students, 1 is vegan.
9 divided by 5 = 1 and 4/5 slices or 9/5 slices.
The 9 slices make 45/5 slices.
3 slices of cheese = 15/5 slices.
6 slices of pepperoni = 30/5 slices.
Vegan student gets 9/5 cheese slices. Leaving 6/5 slices or 12/10 slices of cheese, 12/10 divided by 4=3/10
The rest of the 4 students get each: 5/5 slices of pepperoni + 1/2 slice of Pepperoni + 3/10 slice of cheese.
5/5=10/10, 1/2=5/10, 3/10
10/10 + 5/10 + 3/10 = 18/10=9/5 slices each person.
PLEASE WILL GIVE BRAINLIEST!!
Step-by-step explanation:
Hey there!
According to the figure;
9v = 31° + 4v + 44° { The exterior angle is equal to the sum of opposite adjacent interior angles}
9v-4v = 44°+31°
5v = 75°
v = 75°/5
Therefore, v= 15°.
Hope it helps...
The scale of a map is 2/5 inches represents 3 miles. How much does 1 inch represent?
Answer:
DEEEEEEZ NUTTTTTTZ
Step-by-step explanation:
1. Andrew went to FYE to buy music for the band. He spent a total of $112 on 14 music purchases. one Music CDs were on sale for $10 and cassettes were on sale for $3. How much did Andrew pay for each music CD and each cassette tape? Enter your one-sentence interpretation in the space below.
Answer:
Total Money spent on Music CDs = 10 [tex]\times[/tex] 10 = $100
Total Money spent on Cassette tapes = 4 [tex]\times[/tex] 3 = $12
Step-by-step explanation:
Given that:
Total money spent = $112
Number of music purchases = 14
Cost of one Music CD = $10
Cost of one cassette = $3
To find:
How much money was paid for each music CD and each cassette.
Solution:
Let the number of Music CDs purchased = [tex]x[/tex]
Money spent on Music CDs = [tex]\$10\times x[/tex]
Then the number of cassette tapes purchased = [tex]14-x[/tex]
Money spent on cassette tapes = [tex]\$3\times (14-x)[/tex]
As per the question statement:
[tex]10x+3(14-x)=112\\\Rightarrow 10x+42-3x=112\\\Rightarrow 7x=112-42\\\Rightarrow 7x=70\\\Rightarrow x =10[/tex]
Therefore, number of Music CDs purchased = 10
Total Money spent on Music CDs = 10 [tex]\times[/tex] 10 = $100
And number of cassette tapes purchased = 14 - 10 = 4
Total Money spent on Cassette tapes = 4 [tex]\times[/tex] 3 = $12
Using the number line above, write the integer that each point represents
Pls answer number 3
Answer:
E= -6
D= 4
B =- 4
Step-by-step explanation:
Answer:
The answers are:
E: -6
D: +4
B: -4
Rich and Betsy Cuik started a small business. They manufacture a microwavable coffee-to-go cup called Cuik Cuppa Coffee. It contains spring water and ground coffee beans in a tea-bag-like pouch. Each cup costs the company $1.00 to manufacture. The fixed costs for this product line are $1,500. Rich and Betsy have determined the demand function to be q = -1,000p + 8,500, where p is the price for each cup.
Write the expense equation in terms of the demand, q.
Express the expense equation found in part (a) in terms of the price, p.
Answer: E= 1.00q + 1,500
Step-by-step explanation:
Help me plzzzzzzzzzz
Answer:
∠f=34°
Step-by-step explanation:
0,5 -1,1 -3,2 -4,4 rotated 180 degrees
Answer:
see explanation
Step-by-step explanation:
Under a rotation about the origin of 180°
a point (x, y ) → (- x, - y ) , thus
(0, 5 ) → (0, - 5 )
(- 1, 1 ) → (1, - 1 )
(- 3, 2 ) → (3, - 2 )
(- 4, 4 ) → (4, - 4 )
Find all multiples of 6 that are less than 40
Multiply 6 by numbers 1 -6:
To get:
6, 12, 18, 24, 30,36
Last question I think HELP ME ITS FIXING TO BE OVER DUE!!!
Answer:
I am not good at this but a good app for math is Math
way
~Hope this helps!!Stay safe~
Which expression below can Cynthia use to find the cost for a backage that weighs w pounds?
0. A. W + 3.50
O B. 3.50
w
O c. 3.50 - w
OD 3.50W
Answer:
A
Step-by-step explanation:
Find the area of the circle.
Answer:
8.938
Step-by-step explanation:
Answer:
dont at me if its wrong but i think its the second one
Step-by-step explanation:
What is the slope of the line that passes through the points (-6 , -4) and ( -12 , -4)? Write in simplest form plssss!
Answer:
the slope is zero
Step-by-step explanation:
Answer:
I think that: slope (m) = 0
Step-by-step explanation:
the equation of slope is m = y2-y1/x2-x1
so, y2 = -4, y1 = -4, and x2=-12, and x1= -6
Just substitute them into the equation:
m = -4 - -4 / -12- -16
m = 0
The slope is equal to 0
I hope this helps!
If m <1 = 7x and m <4 = 3x + 20, what is the m <2?
2
14
35
5
Answer:
It would be 35
Step-by-step explanation:
Angle 1 and Angle 4 are equal so then you can solve for x.
7x = 3x + 20
x = 5
Then plug in 5 for x
7(5) = 35
There are 6 people in George's family. How much did George's mom pay for tickets? Show how you found your solution.
Answer:
$75
Step-by-step explanation:
To find out how much George's mom paid for the 6 tickets, first find the unit rate, that is cost per ticket.
The unit rate/constant of proportionality between cost of tickets (y) and number of tickets (x) can be calculated using the coordinates of any points on the graph.
Using (4, 50), this means that 4 tickets cost $50.
Unit rate/constant of proportionality = y/x = 50/4 = 12.5
This means a ticket costs $12.5.
Therefore, 6 tickets would cost:
6 tickets × $12.5 = $75.
George's mom paid $75 for the tickets?
Find the value of X in the triangle
Answer:
44°Step-by-step explanation:
[tex]m\angle BAC=180^o-124^o=56^o\\\\\overline{AB}=\overline{BC}\quad\implies\quad m\angle BCA=m\angle BAC=56^o\\\\m\angle ABC=180^o-2\cdot56^o=68^o[/tex]
[tex]m\angle DBE=m\angle ABC=68^o[/tex] {vertical angles}
[tex]\overline{BD}=\overline{DE}\quad\implies\quad m\angle DEB=m\angle DBE=68^o\\\\m\angle x=180^o-2\cdot68^o=44^o[/tex]
g(x) = x + 2h (x) = x^2 – 4Find: g(x) • h(x)
See attachment for math work and answer.
Find the third, fifth, and tenth terms of the sequence described by the rule.
A(n)= -5+ (n - 1)(6)
A(3) =
(Simplify your answer.)
A(5) =
(Simplify your answer.)
A(10) =
(Simplify your answer.)
Help me out here pleaseeeeeeeee.
Answer:
[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
A fraction is in simplest form when no other factor but 1 will divide into the numerator/ denominator
[tex]\frac{5}{10}[/tex] ← divide numerator/ denominator by 5
=[tex]\frac{1}{2}[/tex]
[tex]\frac{4}{5}[/tex] ← is in simplest form
[tex]\frac{6}{10}[/tex] ← divide numerator/denominator by 2
= [tex]\frac{3}{5}[/tex]
[tex]\frac{8}{12}[/tex] ← divide numerator/denominator by 4
= [tex]\frac{2}{3}[/tex]
[tex]\frac{4}{5}[/tex] is the only fraction given in simplest form
Write a linear function f with f(0) = 2 and f(2)=4.
f(x) =
Answer:
f(x) = x + 2
Step-by-step explanation:
(0, 2)
(2, 4)
Slope m = (4 - 2) / (2 - 0) = 1
y - 2 = 1(x - 0) ⇔ y = f(x) = x + 2
Express the tangent of
Answer:
Step-by-step explanation:
TANGERINES
Answer:
of what ? finish the question
The driver of a car traveling at 60 ft/sec suddenly applies the brakes. The position of the car is s(t) = 50t - 2t2, t seconds after the driver applies the brakes. How many seconds after the driver applies the brakes does the car come to a stop? (4 points)
Answer:
t=12.5s
Step-by-step explanation:
s(t) = 50t - 2t^2
v(t) = 50 - 4t
a(t) = -4
When v(t) = 0, the car stops.
v = u +at
0 = 50 + (-4)t
t = 12.5
Find the value of missing angles
-3-(0.5) on a number line
Answer:
-3.5
Step-by-step explanation:
mark on the left side of the number line where -3.5 is.
the table below represents a proportional relationship the unit rate of the relationship is ______?
Answer:
It is 3
Step-by-step explanation:
I know it is 3 because multiply every nimber on the and you will get the number frome the bottom.
A child 4 1/2 feet tall casts a 6-foot shadow. A nearby statue casts a 12-foot shadow.
Answer: The statue is 9 feet tall.
Step-by-step explanation: Just double all of your values because 12 is 6x2.
Write the equation of a line with a slope of 5 and contains the point (-6, 2)
please help i will mark brainliest
Answer:
The coordinates of mage of L(5, 10) will be: (11, 3)
So, the 4th (last) option is correct.
Step-by-step explanation:
As we know that Translation means how much a point is moved to the left/right and up/down.
Given the translation maps the point J(1, 4) onto K(7, -3).As the x-coordinate of the image point K(7, -3) is 7 which is 6 units right to the original point J(1, 4).
Also, the y-coordinate of the image point K(7, -3) is -3 which is 7 units down to the original point J(1, 4)
so it means the translation basically implies that
(x, y) → (x + 6, y - 7)
Hence, the coordinate of the image of L(5, 10) can also be determined by
using the same rule.
(x, y) → (5 + 6, 10 - 7) = (11, 3)
Therefore, the coordinates of mage of L(5, 10) will be: (11, 3)
So, the 4th (last) option is correct.