On an escalator, you move 2 feet vertically for every 3 feet you move horizontally. When you reach the top of the escalator, you have moved a horizontal distance of 90 feet. Find the height of the escalator.
Answers
The height of the escalator is as calculated using trigonometric ratios.
We know that in a right angled triangle the trigonometric ratios are
tan θ = perpendicular ÷ base
For a right angled triangle the tanθ is defined as the ratio of the perpendicular to the base of the triangle . The side opposite the angle θ is the perpendicular and the side adjacent to the θ is the base .
Now it is given that for every 2 feet vertically moved the horizontal distance moved is 3 feet.
Now using the trigonometric ratio of tanθ
tan θ = 2 / 3
Now we will use this ratio to calculate the vertical height for horizontal movement of 90 feet .
Now, the height is given as h .
∴ tan θ = h / 90
or, 2 / 3 = h / 90
or, h = 60 feet
Therefore the height of the escalator is 60 feet.
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Related Questions
find the length of DE if D is between points C and E, CD = 6.5 centimeters, and CE = 13.8 centimeters.
Answers
Answer:
DE = 7.3 cm
Step-by-step explanation:
All you have to do is take the length of the full line (13.8 cm) and subtract it by the first part (6.5 cm). Doing this gets you the final length of DE with is 7.3 cm.
Which numbers are between -7 and 2 on a number line? Circle all that apply.
A. 2.1
B. -1
C. 0
D. -7.5
E. 3.5
F. -6.4
G. -8
Answers
Answer: See below
Step-by-step explanation:
A. 2.1 No (2.1>2)
B. -1 Yes
C. 0 Yes
D. -7.5 No (-7.5<-7)
E. 3.5 No (3.5>2)
F. -6.4 Yes
G. -8 No (-8<-7)
What do I choose? PLEASE HELP!! Ill give brainlist, five stars and a thanks for whoever's answer is right. Please!!!!!
Answers
Answer:
6 3/4
Step-by-step explanation:
If Sarah uses 3/4 of ribbon to make one hair bow, you would need to multiply 3/4 by 9.
3/4 × 9 = 6 3/4
She will need 6 3/4 yards of ribbon.
Hope this helps! Brainliest would be really appreciated!
HELP PLEASE I NEED HOW TO DO IT AND THE ANSWER FAST PLEASE
Answers
Answer:
4
Step-by-step explanation:
factor the numerator and denominator and cancel the common factors
A square has an area of 9 yd? What is the length of each side?
Answers
Answer:
3 yards
Step-by-step explanation:
The area of a square is its length × width, where the length and width are the same:
length × width = 9
Since, the length and width are the same lets call them x
x × x = 9 → x² = 9
To find x, find the square root of 9:
x² = 9 → x = √9 → The square root of 9 is 3
Each side has a length of 3 yards
answer in comments pls!
Answers
Answer:
a)
2x/3 = 8. First, multiply both sides by 3 to make 2x = 24. Then, divide both sides by 2: x = 12.
b)
3x/2 = 6. First, multiply both sides by 2 to make 3x = 12. Then, divide both sides by 3: x = 4.
Hope this helps!
Answer:
A.) x = 12
B.) x = 4
Step-by-step explanation:
A.) 2x/3 = 8
First let’s multiply both sides by three to get rid of our division equation,
2x/3 = 8
*3 *3
2x = 24
Now we divide both sides by 2 to single out our variable,
2x = 24
/2 /2
X=12
Let’s check our answer just to be sure this is correct, we do this by plugging in “12” for our x
2(12)/3 = 8
24/3 = 8
8 = 8
Now we know that x = 12 is true,
B.)3x/2 = 6
Again well will multiply both sides by 2 to remove our division equation,
3x/2 = 6
*2 *2
3x = 12
We divide both sides by 3 to remove our coefficient in front of the variable,
3x = 12
/3 /3
x=4
Let’s check our answer once again,
3x/2 = 6
3(4)/2 = 6
12/2 = 6
6 = 6
X = 4 is true
find the measure of each angle indicated.
Answers
Answer:
where are the angles...........
In Math, the word dilate means to make a figure
Answers
Answer:
False
Step-by-step explanation:
in math, dilate means changing the size of an object without changing its shape
Have a good day, sorry if I'm wrong:)
(if I am wrong, plz tell me<3)
prove cos a = 5/13 pls solve it and no link pls..........
Answers
Answer : The demonstration is below :)
Step-by-step explanation :
We use Pythagoras' theorem :
In the triangle ABC we have :AB² = AC² - BC² = 15² - 9² = 144 = 12²
In the triangle ABD we have :DB² = AD² - AB² = 13² - 12² = 5²
cos(a) = BD/AD = 5/13
What is the value of x?
Enter your answer in the box.
Answers
Answer:
X = 80°
Step-by-step explanation:
The total number of degrees in a triangle is 180°.
70° + 30° = 100°
180° - 100° = 80°
In a triangular prisim how many vertices does it have
Answers
Answer:
6
Step-by-step explanation:
Answer please
Can someone give me the answer
Answers
Answer:
sorry I don't know pls ask someone else
How would I solve this? I believe it's two step, am I correct?
Answers
Answer:
[tex]b=0.8[/tex]
Step-by-step explanation:
1) Subtract 2.7 from both sides.
[tex]-5.3-2.7=-\frac{b}{0.1}[/tex]
2) Simplify -5.3 - 2.7 to 8.
[tex]-8=-\frac{b}{0.1}[/tex]
3) Multiply both sides by 0.1.
[tex]-8[/tex] × [tex]0.1=-b[/tex]
4) Simplify - 8 × 0.1 to - 0.8.
[tex]-0.8=-b[/tex]
5) Multiply both sides by -1.
[tex]0.8=b[/tex]
6) Switch sides.
[tex]b=0.8[/tex]
Answer:
b=0.8
Step-by-step explanation:
[tex]\frac{b}{0.1} = 8\\b= (0.1)(8)\\b=0.8[/tex]
9+9+9+9+9+81+828+8282+92929=
dont use calculator otherwise I will report u
Answers
Answer:
102165
Step-by-step explanation:
92929+8282= 101211
101211 + 828 = 102039
102039 + 81 = 102120
102120 + (9+9+9+9+9) = 102120 + 45 = 102165
Answer:
102165 is your asnwer
Step-by-step explanation:
9+9+9+9+9+81+828+8282+92929=102165
Rewrite the following equation in slope-intercept form.7x − 15y = –18
Answers
Answer:
Y = 7/15x + 6/5
Step-by-step explanation:
7x - 15y = -18
7x = 15y - 18
7x + 18 = 15y
7/15x + 6/5 = y
Hope this helps! Pls give brainliest!
We can convert the line 7x − 15y = –18 into slope-intercept form (y = mx + c) by making y the subject of the equation
7x - 15y = - 18
7x + 18 = 15y
⁷/₁₅ x + ¹⁸/₁₅ = y
∴ the slope-intercept form of 7x − 15y = –18 is y = ⁷/₁₅ x + ⁶/₅
PLS HELP ASAP TY ILL GOVE BRAINLIEST
Answers
cause all of the red cubes and yellow cubes cancel out on the left side so you're left with 2 green blocks which is 2x and on the right it's positive 10
helppppppppppppppppppppppppppppppp
Answers
Step-by-step explanation:
wjjdjrjdjdjdudidjdkdk pick the C
Answer:
D,
Step-by-step explanation:
Step 1: 47-12=27, 27+(-27)=0
step 2: 27/2=13.5, 2c/2=c
step 3, change 13.5 to fraction which is 13 1/2
(hope it's helpful :)
How does value of a affect the
parabola?
Answers
The parabola appears wider when |a| >1, the parabola appears thinner
When a is positive, the parabola opens upwards, but when a is negative parabola opens downwards
Step-by-step explanation:
brainliest?
-
7.5 ft
Find the perimeter of the semicircular region
Answers
[tex]\sf 3x+44=50[/tex]
Answers
Answer:
2
Step-by-step explanation:
1) Subtract 44 from both sides of the equation
3x + 44 - 44 = 50 - 44
2) Simplify
a. Subtract the numbers
3x = 50 - 44
b. Subtract the numbers
3x = 6
3) Divide both sides of the equation by the same term
3x/3 = 6/3
4) Simplify
a. Cancel terms that are in both the numerator and denominator
x = 6/3
b. Divide the numbers
x = 2
-44 -44
3x=6
Decide both sides by 3 and you’ll get x= 2
If 35 cycles were produced in 5 days by a company then how many cycles will be produced in 21 days.
Answers
Answer:
126
Step-by-step explanation:
35/5 = 6.
6 is the number in 1 day
6x21=126
126 is the number in 21 days
Hope that helps
Multi-step word problems are combination of fundamental which includes hidden questions. Here, you will be able to think deeply and improve your higher order thinking skills to solve the problems. Learning Task 2. Solve the given problems. Use the 4-steps inn solving word problems. A hidden questions should be incorporated in your answer Write your solution in your notebook. 1. Mr. Fernandez earns P 28.50 per hour as an office clerk. He earns 1.75 times as his regular rate for overtime. His regular work is 40 hours per week. He gets overtime pay if he works more than 40 hours. How much is his total earning if he works 45 hours in one week? 2. Lucy earns P 1,525.00 a week. She sets aside 15% of this for savings. How much does she save in a year? (Hint: 1 year = 52 weeks). 3. Mrs. Briones has a monthly pay of 50,000.00. The withholding tax de ducted from her monthly salary is P 5,275.75. What is the actual pay she receives in a year?
Answers
The solution to the word problems given are obtained by creating a mathematical expression from the questions given. Hence, the solutions are :
$1389.375$11895$5366911.)
Regular Earning per hour = $28.50Overtime earning = 1.75 × 28.50 = $49.875Regular work hour = 40 hoursTotal work hours = 45 hours
Total earning can be defined thus :
28.50(40) + 49.875(45 - 40)
1140 + 249.375
= $1389.375
2.)
Earning per week = $1525Percentage saving = 15%Yearly saving can be calculated thus :
Weekly saving = 15% × 1525 = $228.75
Amount saved per year = $228.75 × 52 = $11895
3.)
Monthly pay = $50000Withholding tax per month = P 5275.75Actual payment received per year can be calculated thus :
Actual weekly earning = $50000 - $5275.75 = $
Actual yearly earning = 52 × $44724.25 = $536691
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Translate the following phrase into an algebraic expression. Use the variable b to represent the unknown quantity.
The number of soda bottles split 5 ways
Answers
Answer:
s/5=b
Step-by-step explanation:
The required expression is n/5 = b
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given:
We have the variable b to represent the unknown quantity.
The expression,
the number of soda bottles split 5 ways.
That means,
Let n be the number of soda bottles.
So,
using division operation,
n / 5 = b
Therefore, the expression is n/5 = b.
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5 find the missing length
Answers
Answer:
A i belive
Step-by-step explanation:
=
?
(5
4
⋅b
−10
)
−6
Answers
[tex](5^{4} *\frac{1}{b^{10} }) ^{-6}[/tex]
[tex](\frac{5^{4} }{b^{10} } )^{-6}[/tex]
[tex]\frac{b^{60} }{5^{24} }[/tex]
Please help.
Point M is the mid-point of PQ. The coordinates of P and M are given below.
M (5, -2) and P (11, -10)
Based on the information, what is the coordinates of Q?
Answers
Answer:
(-1,-6)
Step-by-step explanation:
(-1,-6)
Multiply coordinates of mid point by 2
take away from point P
Which of the following systems of inequalities has no solution?
Answers
Answer:
The third one
Step-by-step explanation:
y=>x+1
y=<x-1
removing y
x-1 => x+1
removing x
we have no solution
By definition, parallel lines have the same slope, in which they have no point of intersection. Therefore, they will have no solution (making them an inconsistent system).
Out of all the given options, the inequality statements in Option C has the same slope of 1 (regardless of the inequality symbol, what matters is their lack of point of intersection because their lines are parallel).
Therefore, the correct answer is Option C: y ≥ x + 1; y ≤ x - 1.
Help stuck on question number 10
Answers
Answer:
y = 2/3x - 5 or in standard form 3y = 2x - 5
Step-by-step explanation:
Remember this fact: Parallel lines have the same slope
Step 1 Solve for y so that the equation is in the slope- intersect form
2x - 3y = 6
-3y = -2x + 6
-3y/-3 = -2x/-3 + 6/-3
y = 2/3 x -2
now we know the slope is 2/3 or
when the equation is in Standard form Ax + By = C you can use this fact: slope = - A/B so the slope = -2/-3 = 2/3
Remember the Parallel lines have the same slope
Find the y-intersect "b" use the slope = 2/3 and point (6, -1)
y = mx + b
-1 = 2/3(6) + b
-1 = 4 + b
-5 = b
Now write the equation of line that is parallel to the given line and passes through point (6, -1)
y = 2/3x - 5 or in standard form 3y = 2x - 5
Can anyone help asap please
Answers
Step-by-step explanation:
a=32(alternate angles are equal)
b=a=32
c=17(all sides of rhombus are equal in length)
d=17(all sides of rhombus are equal in length)
e=90
f=90(diagonals intersect at right angles)
Estelle is having her birthday party at Gold Frames Art Museum this year. A party package costs $265 and covers the entrance fee for guests, a private party room, and an activity guide. Estelle upgraded her package to include a favor for each of her 8 guests, bringing the total to $305.
Answers
Using proportions, it is found that the cost of each of the favors is of $5.
Proportions:This question is solved by proportions, using a rule of three.The addition of 8 favors increase the cost of the party by $40. What is the cost of one favor?The rule of three is:
8 favors - $40
1 favor - $x
Applying cross multiplication:
[tex]8x = 40[/tex]
[tex]x = \frac{40}{8}[/tex]
[tex]x = 5[/tex]
The cost of each of the favors is of $5.
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Answer:
Step-by-step explanation: