# A yardstick casts a shadow of 24 in. at the same time a telephone pole casts a shadow of 20 ft 8 in. What is the height of the telephone pole, to the nearest inch? (1 yd = 36 in., and 1 ft = 12 in.) A. 165 in. B. 360 in. C. 372 in. D. 374 in.

QUESTION POSTED AT 18/01/2020 - 07:39 AM

Its actually C. 372. I just took the test

## Related questions

### 5. What is an equation for the line with slope ￼and y-intercept 9? (1 point) y = ￼x y = 9x y = ￼x + 9 y = 9x + ￼ 6. What is an equation in slope-intercept form for the line that passes through the points (1, –3) and (3, 1)? (1 point) y = 3x + 1 y = x – 3 y = 2x + 5 y = 2x – 5

6.) y - (-3) = (1 - (-3))/(3 - 1) (x - 1)
y + 3 = (1 + 3)/2 (x - 1)
y + 3 = 4/2 (x - 1)
y + 3 = 2(x - 1) = 2x - 2
y = 2x - 2 - 3 = 2x - 5
y = 2x - 5

ANSWERED AT 16/02/2020 - 07:04 PM

QUESTION POSTED AT 16/02/2020 - 07:04 PM

Note that 1 - cos(x) = 2sin²(x/2)

⇒ lim x→0 xtan(x)/ [1 - cos(x)] =

= lim x→0 xtan(x) / 2sin²(x/2) =

= lim x→0 1/2 xtan(x) / [sin²(x/2) / (x/2)² * (x/2)²]

Also, we know that lim x→0 sin(x)/x = lim x→0 tan(x)/x = 1

So the limit is :

= 1/2 lim x→0 xtan(x) / (x²/4) =

= 1/2 lim x→0 4/x² * xtan(x) =

= 2 lim x→0 tan(x)/x =

= 2.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

ANSWERED AT 16/02/2020 - 06:43 PM

QUESTION POSTED AT 16/02/2020 - 06:43 PM

### Which of the following represents the set of possible rational roots for the polynomial shown below? 2x³+5x²-8x-10=0 a. {±2/5, ±1/2, ±1, ±2, ±2/5, ±1/5, ±1/10} b. {±1/2, ±1, ±2, ±5/2, ±5, ±10} c. {±1, ±2, ±4, ±5, ±10, ±20} d. {1/2, 1, 2, 5/2, 4, 5, 10, 20} ...?

Option b is correct

Step-by-step explanation:

Given the polynomial

we have to find the set of possible rational roots for the polynomial.

Rational root theorem states that if P(x)  has any rational roots then they must be of form

Here

Factors of 10=1, 2, 5, 10

Factors of 2=1, 2

Possible rational roots are

Option b is correct

ANSWERED AT 16/02/2020 - 06:41 PM

QUESTION POSTED AT 16/02/2020 - 06:41 PM

First get the difference between the 2008 price and 1990 which is $4.02-$1.37= $2.65. Then the difference you've got which is$2.65, divide it to the current market price which is $4.02 to get the how many percentage it increased since then,$2.65/$4.02= 0.65920398 then multiply it to 100. It would be 65.92 or 66% if rounded off to whole number. ANSWERED AT 16/02/2020 - 06:40 PM QUESTION POSTED AT 16/02/2020 - 06:40 PM ### What is the quotient: (3x2 + 4x – 15) ÷ (x + 3) ? is it 3x – 1, r = 1? i would just like for someone to confirm if it is or isnt ...? Answer: No, it is 3x-5 and r=0 Step-by-step explanation: We can do it by long division method the required quotient is 3x-5 and r=0 not 3x-1 , r=1 multiply the divisor with 3x we will get to cancel out the first term of dividend Now after solving we will get Now, multiply the divisor by -5 we will get -5x-15 which will cancel the entire dividend. ANSWERED AT 16/02/2020 - 06:37 PM QUESTION POSTED AT 16/02/2020 - 06:37 PM ### Find the area of the regular polygon. Give the answer to the nearest tenth. dodecagon with a perimeter of 108 cm ...? A regular dodecagon is a polygon with 12 equal sides. Length of each side = 108/12 = 9 cm. Length of the apothem = (9/2)/tan 15 = 9/2tan 15 = 16.79 cm Area of each triangle = 9/2(16.79) = 75.57 cm^2 Therefore, area of the dodecagon = 12(75.57) = 906.9 cm^2 ANSWERED AT 16/02/2020 - 06:36 PM QUESTION POSTED AT 16/02/2020 - 06:36 PM ### Is the line through points P(–8, –10) and Q(–5, –12) perpendicular to the line through points R(9, –6) and S(17, –5)? Explain. ...? Answer: No, the line through points P(–8, –10) and Q(–5, –12) is not perpendicular to the line through points R(9, –6) and S(17, –5). Step-by-step explanation: Two lines are called perpendicular to each other if the product of their slope is -1. Since, the slope of a line having end points and is, Thus, the slope of line Joining points P(–8, –10) and Q(–5, –12), While, The slope of line Joining points R(9, –6) and S(17, –5), Since, Thus, the line through points P(–8, –10) and Q(–5, –12) is not perpendicular to the line through points R(9, –6) and S(17, –5). ANSWERED AT 16/02/2020 - 06:35 PM QUESTION POSTED AT 16/02/2020 - 06:35 PM ### One hundred times the quantity two plus seven 900 is One hundred times the quantity two plus seven ANSWERED AT 16/02/2020 - 06:34 PM QUESTION POSTED AT 16/02/2020 - 06:34 PM ### A rectangular table is two times as long as it is wide. If the area is 50ft^2, find the length and the width of the table. 10ftx5ft ......................................................................................................................................................................................................................................................................................... ANSWERED AT 16/02/2020 - 06:32 PM QUESTION POSTED AT 16/02/2020 - 06:32 PM ### Please help me with #34 & #36, also explain please:) This isn't too difficult!! it's just an unfamiliar graph which tripped me up for a second, too. what a weird format honestly but anyways #34 is going to be the red line. you can figure this out by thinking to yourself, "okay, 8 years for 1 cycle" and starting with the horizontal axis. go over 1, because it's 1 cycle, then go up to 8 years... and you run into the red line crossing through. this means that the red line represents 8 years per cycle, and therefore, the red grouse. #36 is going to be the blue line. you figure it out the same way as above, just with different values: 4 years for 1 cycle. go over 1 for 1 cycle, then go up to 4 years... and it's the blue line crossing through that point. to double-check this one, you could even go over to 2 cycles (which would take 4 years, for the lemming), and you have the blue line crossing through the 8 year mark. that means the blue line is representing the lemmings. ANSWERED AT 16/02/2020 - 06:25 PM QUESTION POSTED AT 16/02/2020 - 06:25 PM ### Victoria made some chocolate pudding. For every 2 cups of chocolate, she added 5 cups of milk. The ratio of chocolate to milk in Victoria's chocolate pudding is ____. (1 point) 2:5 because 2 cups of chocolate to 5 cups of milk the ratio would be 2:5 u can't put 5:2 because it's asking the ratio of chocolate milk to chocolate pudding not chocolate pudding to chocolate milk. ~PrinncessAngel~ Happy To Help:D ANSWERED AT 16/02/2020 - 06:23 PM QUESTION POSTED AT 16/02/2020 - 06:23 PM ### Matthew practices his violin for 25th minutes a day.he started at 3:15.what time will it be when Matthew stops practicingA. 3:30B. 3:40C. 3:50D. 4:50 B. 3:40 You would have to add 25 minutes to 3:15 to get 3:40 ANSWERED AT 16/02/2020 - 06:21 PM QUESTION POSTED AT 16/02/2020 - 06:21 PM ### X ÷ -18 - 2 = 1 plz help I'm horrible at math Solve for x by simplifying both sides of the equation, then isolating the variable. x = -54 ANSWERED AT 16/02/2020 - 06:20 PM QUESTION POSTED AT 16/02/2020 - 06:20 PM ### 24. a) The average height od sunflowers in a field is 64 in. with a standard deviation of 3.5 in. On a piece of paper, draw a normal curve for the distribution, including the values of the horizontal axis at one, two, and three standard deviations from the mean. Describe your drawing in as much detail as possible, and explain how you came up with each of your labels. b) If there are 3,000 plants in the field, approximately how many will be taller than 71 in.? Explain how you got your answer. Μ = 64 σ = 3.5 a) μ - 3σ = 53.5 μ - 2σ = 57.0 μ - σ = 60.5 μ = 64.0 μ + σ = 67.5 μ + 2σ = 71.0 μ + 3σ = 74.5 b) (71 - 64)/3.5 = 2.0 z = 0.9772 n = 3000*(1 - 0.9772) ≈ 68 Hope this helps! ANSWERED AT 16/02/2020 - 06:10 PM QUESTION POSTED AT 16/02/2020 - 06:10 PM ### Which sequence is not equivalent to the others? (1) a reflection across the y-axis, followed by a reflection across the x-axis, and then a 90° clockwise rotation about the origin (2)a 90° clockwise rotation about the origin and then a 180° rotation about the origin (3) a reflection across the x-axis, followed by a 90° counterclockwise rotation about the origin, and then a reflection across the x-axis (4) a 90° counterclockwise rotation about the origin Answer with explanation: Consider the geometrical shape , which is in the first Quadrant Option 1: A reflection across the y-axis, followed by a reflection across the x-axis, and then a 90° clockwise rotation about the origin . Explanation: When we reflect the shape across y axis , it will reach in second Quadrant, then by reflection across the x-axis,takes it to the third Quadrant,then a 90° clockwise rotation about the origin takes it to the second Quadrant. Option 2: a 90° clockwise rotation about the origin and then a 180° rotation about the origin Explanation: 90° clockwise rotation about the origin, takes the shape to fourth Quadrant,and then a 180° rotation about the origin takes the shape to Second Quadrant. Option 3 a reflection across the x-axis, followed by a 90° counterclockwise rotation about the origin, and then a reflection across the x-axis Explanation: a reflection across the x-axis, takes the shape in fourth Quadrant,then a 90° counterclockwise rotation about the origin takes the shape in first Quadrant, and again then a reflection across x axis ,takes the shape again in Fourth Quadrant. Option 4 a 90° counterclockwise rotation about the origin Explanation: a 90° counterclockwise rotation about the origin takes the shape in Second Quadrant. Option 3 That is , Statement 3,⇒ a reflection across the x-axis, followed by a 90° counterclockwise rotation about the origin, and then a reflection across the x-axis, is not equivalent to the other statement. ANSWERED AT 16/02/2020 - 06:07 PM QUESTION POSTED AT 16/02/2020 - 06:07 PM ### determine whether multiplication by A is one to one linear transformation a)A=[ 1 -1 2 0 3 -4] b) A=[ 1 2 3 -1 0 4] ...? To know if the given matrix is one to one linear transformation, Row reduce the Matrix A and if it has free variables in it it means it is not a one to one linear transformation. So, we take A and apply Row Operation and get the following matrix 1 0 0 0 1 0 0 0 0 As, it has free variables in it, it means it is not a one to one linear transformation. Hope it helps :) ANSWERED AT 16/02/2020 - 05:34 PM QUESTION POSTED AT 16/02/2020 - 05:34 PM ### 83.3333 rounded to nearest tenth of a percent ...? 83.3 Is the number rounded to the nearest tenth. ANSWERED AT 16/02/2020 - 05:30 PM QUESTION POSTED AT 16/02/2020 - 05:30 PM ### name the property used in each equation. then find the value of n. 2.) 1·n=8 3.) 28·n=0 4.) 0+n=22 5.) 1/4·n=1 2. n = 8 (Identity property) 3. n = 0 (Zero Property) 4. n = 22 (Additive Identity Property) 5. n = 4 (Fractal property) ANSWERED AT 16/02/2020 - 05:29 PM QUESTION POSTED AT 16/02/2020 - 05:29 PM ### Consider the planes 2x + 1y + 5z = 1 and 2x + 5z = 0. (A) Find the unique point P on the y-axis which is on both planes. ( ? , ? , ? ) (B) Find a unit vector u with positive first coordinate that is parallel to both planes. ? I + ? J + ? K (C) Use the vectors found in parts (A) and (B) to find a vector equation for the line of intersection of the two planes,r(t) = ? I + ? J + ? K B is easy, given 2x + 1y + 5z = 1 and 2x + 5z = 0, normal vectors of those planes are (2,1,5) and (2,0,5), cross product will give the parallel vector, divide by its length so it gives the unit vector ANSWERED AT 16/02/2020 - 05:29 PM QUESTION POSTED AT 16/02/2020 - 05:29 PM ### Write the verbal sentence as an equation. Then solve the equation. 1.) negative sixteen plus the quotient of a number and 2 is 35. 2.) Thirty-nine minus a number is -19 1. -16 + x + 2= 35 x = 35 + 16 x = 51 2. 39 - x = -19 x = 39 + 19 x = 58 ANSWERED AT 16/02/2020 - 05:27 PM QUESTION POSTED AT 16/02/2020 - 05:27 PM ### The mean for average temperature in Buffalo ,New york , is 47.5°. The temperture fluctuates 23.5° above and below the mean temperture . If t=1 present January ,the phase shift of the sine function is 4 a) Write the funtion for the average monthly tempperature in Buffalo b) According to your modle ,what is the average tenperature in March ? c) According to your modle ,what is the average tenperature in August ? 1) According to the statement, the Temperature will be modeled with a sine function. 2) a genaral sin function is of the type: Asin(mt + p) + M where: t is the variable A is the amplitud: the fluction fluctuate +/- A units over the mean value. A = 23.5° M is the mean value. M = 47.5° m is the frequency, which we need to be 2π/12 (the complete cycle is 12 months) = m = π/6 p is the phase shift, which is 4. p = 4 Then: a) the model or function is T(t) = 47.5° + 23.5* sin [ (π/6) t + 4] b) T in march => t = 3 T(3) = 47.5° + 23.5° sin [ (π/6)*3 + 4] = 32.1 ° c) T in august => t = 8 T(8) = 47.5° + 23.5° sin [ (π/6)*8 + 4] = 69.7 ° ANSWERED AT 16/02/2020 - 05:24 PM QUESTION POSTED AT 16/02/2020 - 05:24 PM ### What is f(2) for the function f(x)=4x=1? Replace the x with 2 So F(x)= 4x2=1 F(x) = 8 =1 ANSWERED AT 16/02/2020 - 05:08 PM QUESTION POSTED AT 16/02/2020 - 05:08 PM ### Eight times a number is the same as thirty five more than three times a number Times - multiply same as - = more than - subtract ANSWERED AT 16/02/2020 - 04:57 PM QUESTION POSTED AT 16/02/2020 - 04:57 PM ### Little help please? Solve the combined inequality. A car gets 25 miles per gallon in the city and 35 miles per gallon on the highway. What range of miles can the car travel on 4 gallons of gas? 1. How many miles will the car travel in the city. (1 point) 2. How many miles will the car travel on the highway? (1 point) 3. Write the range of the 2 values in interval notation form. ( 2 points) Highway is 140 and the city is 100 the highway is 40 more then the city ANSWERED AT 16/02/2020 - 04:53 PM QUESTION POSTED AT 16/02/2020 - 04:53 PM ### Which problem can be solved using this inequality? x + 5 ≤ 20 A. Beth is purchasing school supplies. She knows that the price for her pencil case is$15. She only has $20 to spend. How much money will she have left after buying the pencil case? B. Beth is purchasing school supplies. She knows that the price for her pencil case is less than$5. She only has $20 to spend. How much money will she have left to spend after buying the pencil case? C. Beth is purchasing school supplies. She knows that the price for her pencil case is$5 more than the cost of a book bag. She only has $20 to spend. Does Beth have enough money to buy the pencil case and book bag? D. Beth is purchasing school supplies. She knows that the price for her pencil case is$5. She only has $20 to spend. What is the most amount of money she can spend on the remaining supplies? Reset Next Question Answer: That would be D Step-by-step explanation: ANSWERED AT 16/02/2020 - 04:47 PM QUESTION POSTED AT 16/02/2020 - 04:47 PM ### Simplify 12+3 [5+(4-2)] Is the answer to your question 33 ANSWERED AT 16/02/2020 - 04:43 PM QUESTION POSTED AT 16/02/2020 - 04:43 PM ### Use the given graph to estimate the value of each derivative. (Round all answers to one decimal place.) f'(0) f'(1) f'(2) f'(3) f'(4) f'(5) F'(x) is the derivative of f(x). the y value of derivative is the same value as the slope of f(x) at whatever point your looking at so at x=1 the tangent line of f(x) will be horizontal (or zero) so f'(x)=0 ANSWERED AT 16/02/2020 - 04:35 PM QUESTION POSTED AT 16/02/2020 - 04:35 PM ### A chemistry student needs to make 60 liters of a 30% alcohol solution. He has a 20% alcohol solution and a 40% alcohol solution in the lab. How many liters of each strength does he need to mix together *The system of equations I did was: a+b=60 & .2a+.4b=18. I may be wrong but i seriously need help Hi i am sorry i am not sure what to do here i mainly answer questions in biology and maths so if u have any questions related to that subject u can ask me but chemsitry i am not really good at sorry xx ANSWERED AT 16/02/2020 - 04:20 PM QUESTION POSTED AT 16/02/2020 - 04:20 PM ### If anyone can check my work for me that would be greatly appreciated I'm having trouble. Evaluate the expression foe the given value of the variable. |-4b-8|+|-1-b^2|+2b^3 ; b=-2 I got 1 for my answer -4(-2)-8-1+2^2+2(-2) 8-8-1+2^2-4 -1+2^2-4 1 The answer is -13. Solution: = |-4b - 8| + |-1 - b^2| + 2b^3 = |-4(-2) - 8| + |-1 - -2^2| + 2(-2)^3 = |8-8| + |-1+4| + 2(-8) = |0| + |3| + (-16) = -13 ANSWERED AT 16/02/2020 - 04:17 PM QUESTION POSTED AT 16/02/2020 - 04:17 PM ### The price of a gallon of unleaded gas was$2.89 yesterday. Today, the price fell to $2.82 . Find the percentage decrease. Round your answer to the nearest tenth of a percent If u have$2.89 yesterday so you need to times \$2.82 so I need th0 in the 10th percent so when u times

ANSWERED AT 16/02/2020 - 04:11 PM

QUESTION POSTED AT 16/02/2020 - 04:11 PM