The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is mc024-1.jpg. What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall?

QUESTION POSTED AT 18/01/2020 - 06:54 AM

We will use the Pythagorean theorem to determine the height:  Finally:
Answer Ladder will reach the height of 14.59 feet ( to the nearest hundredths).

Related questions

True or false. The sine of an angle in a right triangle is equal to the ratio of the length of the side adjacent to the angle divided by the length of the hypotenuse. ...?

Answer:  The given statement is FALSE.

Step-by-step explanation:  We are given to check whether he following statement is true or false :

"The sine of an angle in a right triangle is equal to the ratio of the length of the side adjacent to the angle divided by the length of the hypotenuse. "

Let us consider the right-angled triangle ABC as shown in the attached figure below.

With respect to acute angle C, we can see that

perpendicular, p = AB

base, b = BC

and

hypotenuse, h = AC.

We know that

sine of an angle in a right-angled triangle is equal to the ratio of the perpendicular to the base.

So, we must have

Since AB is the opposite side to angle C, not adjacent, therefore

sine of any angle in a right-angled triangle is the ratio of the length of the OPPOSITE SIDE to length of the hypotenuse.

Thus, the given statement is FALSE.

ANSWERED AT 16/02/2020 - 06:38 PM

QUESTION POSTED AT 16/02/2020 - 06:38 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

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

The distance from the library to the park is 0.7 kilometers. how many meters is this?

Step-by-step explanation:

yuo multipy bye the 1000 over 1

ANSWERED AT 16/02/2020 - 05:56 PM

QUESTION POSTED AT 16/02/2020 - 05:56 PM

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=7-x^2 . What are the dimensions of such a rectangle with the greatest possible area?

If the base is on the x-axis, the width of the rectangle is = xif the height is based on the parabola, the length = 7-x^2
the area of a rectangle = length * width
thus, area = x*(7-x^2)= 7x-x^3
in order to maximize the area, you would need to take the derivative of the area and set it equal to 0
Area = 7x-x^3Area' = 7 - 3x^2
7-3x^2 = 0thus, x = 1.5275
this x represents the x needed to create the largest possible area with the given parameters.
Thus:Width (x-axis) = 1.5275Length (y-axis) = 7 - (1.5275)^2 = 4.6667

ANSWERED AT 16/02/2020 - 05:35 PM

QUESTION POSTED AT 16/02/2020 - 05:35 PM

The medians of a triangle are the line segments from each vertex to the midpoint of the opposite side. Find the lengths of the medians of the triangle with vertices at A=(0,0), B=(6,0), C=(4,4) ...?

Step-by-step explanation:

Consider ΔABC with vertices such that P , Q , R are midpoints of sides BC , AC and AB .

We know that midpoint of line segment joining points is equal to

Midpoints P , Q , R :

We know that distance between points is given by

Length of AP :

AP =

Length of BQ :

BQ =

Length of CR :

ANSWERED AT 16/02/2020 - 05:32 PM

QUESTION POSTED AT 16/02/2020 - 05:32 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

Suzanne is going to rent a car while she is out of town. One car rental company offers a flat rate of $35 per day plus$0.10 per mile. Another car rental company offers the same car for $25 per day plus$0.25 per mile. She will need the car for 5 days. How many miles would she need to drive for the first rental company to be a better deal?

She need to drive more than 2000 miles for the first rental company to be a better deal .

Step-by-step explanation:

Case 1) One car rental company offers a flat rate of $35 per day plus$0.10 per mile

Let m be the no. of miles

She will need the car for 5 days.

So, total cost =

Case 2)  Another car rental company offers the same car for $25 per day plus$0.25 per mile.

Let m be the no. of miles

She will need the car for 5 days.

So, total cost =

Now we are supposed to find How many miles would she need to drive for the first rental company to be a better deal?

So,

So, she need to drive more than 2000 miles for the first rental company to be a better deal

ANSWERED AT 16/02/2020 - 05:24 PM

QUESTION POSTED AT 16/02/2020 - 05:24 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

A wildlife manager determines that there are approximately 200 deer in a certain state park. a. The population is growing at a rate of 7% per year. How many deer will in the park after 4 years? b. If the carrying capacity of this park is 350 deer, how long will it take for the deer population to reach carrying capacity?

7% in decimal form is .07
1st year 200+200(.07)=200(1+.07)
nth year 200(1.07)^n
a) plug in 4 for n above
b)200(1.07)^n=350 (solve for n)

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

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

Two similar prisms have heights 4 cm and 10 cm. What is the ratio of their surface areas? A) 2:5 B) 4:25 C) 4:10 D) 8:125

H 1 : H 2 = 4 : 10
H 1 = 2/5 H 2
and also for the base: L 1 = 2/5 L 2 and W 1 = 2/5 L 2
A 1 = 2 L 1 x W 1 + 2 L 1 x H 1 + 2 W 1 x H 1
A 2 = 2 L 2 x W 2 + 2 L 2 x H 2 + 2 W 2 x H 2
A 1 / A 2 = 4/25 *( 2 L 2 x W 2 + 2 L 2 x H 2 + 2 W 2 H 2 ) /
/ ( 2 L 2 x W 2 + 2 L 2 x H 2 + 2 W 2 x H  2 ) =
= 4/5
A 1 : A 2 = 4 : 25
Answer:  B ) 4 : 25

ANSWERED AT 16/02/2020 - 04:08 PM

QUESTION POSTED AT 16/02/2020 - 04:08 PM

A ferris wheel is 35 meters in diameter and boarded at ground level. The wheel makes one full rotation every 8 minutes, and at time t = 0 you are at the 9 o'clock position and descending. Let f(t) denote your height (in meters) above ground at t minutes. Find a formula for f(t).

F(t) = -17.5sin((t/4)*pi) + 17.5
Because the ferris wheel is a circle you can use sine and cosine. As we are descending and in the middle of the descent the use of negative sine makes the most sense.
Period = 2pi.
Our period is 8 minutes.
8 minutes*w = 2pi
w = (t/4) * pi.
The 17.5 at the end is to take into account that we are 17.5 meteres up in the air at the start.

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

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

The function h(d) = 2d+4.3 relates the h height of the water in a fountain in feet to the d diameter of the pipe carrying the water. Graph the function on a calculator and use the graph to find the height of the water when the pipe has a diameter of 1.5 inches

You can do what the directions say and enter the function into a calculator. if you're having trouble learning how to graph on a calculator, i would suggest looking up a tutorial with pictures or videos, since it would be really confusing to explain through text alone on this site.

however, you can solve it without use of a calculator; just plug in 1.5 inches for d.

h = 2(1.5) + 4.3
h = 7.3

the height is 7.3 when the diameter is 1.5

the way you should find this on a graph entered into a calculator would be by "tracing" the graph ("trace" should be a button on your calc). it prompts you to pick like a left/right bound, if i remember correctly, and it'll guess the point in the middle of them. if a graphing tutorial isn't helpful, you can always refer to the table function as well and change the settings so that it lets you enter your own x-values (yet another thing you can find how to do in the instruction booklet that came with your calc, or a visual tutorial). sorry i couldn't be more helpful in regards to the actual graphing! it's just a pretty confusing process to explain unless you can physically show the person with a calc of your own

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

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

Steven cuts a 25-foot board into 2 pieces. One piece is 4 feet more than 2 times the length of the second piece. What is the length of the second, shorter, piece of the board?

The length of the shorter piece of the board is 7 ft.

Step-by-step explanation:

Given,

The 25-foot board into 2 pieces.

Let x be the length of one piece,

So, the length of the other piece = ( 25 - x ) feet,

Now, according to the question,

25 - x = 2x + 4

-x - 2x = 4 - 25

-3x = - 21

x = 7

Hence, the length of two pieces are 7 feet and 18 feet,

In which 7 feet is the length of shorter piece.

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

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

A mountain climber is at an elevation of 10,712 feet. After 4 hours, he is at an elevation of 8,884 feet. Find the climber’s vertical speed using this formula:

I am not sure about the formula but if you subtract 8,884 from 10,712 you get 1,828. Then, if you divide that by 4 you get 457. 457 fph(feet per hour) should be the climbers vertical speed.

ANSWERED AT 16/02/2020 - 03:09 PM

QUESTION POSTED AT 16/02/2020 - 03:09 PM

The actual distance between two cities is 135 km. the map scale is 1 cm:100 km. find the map distance Ok i got it so FREE POINTS!!! i got the answer correct

thank you very much for da free points

ANSWERED AT 16/02/2020 - 06:53 AM

QUESTION POSTED AT 16/02/2020 - 06:53 AM

A carpenter a 6-foot long board. he wants to cut the board in to pieces that are 4/5 foot long. what length of the original board will be left after the carpenter cuts all the pieces that are 4/5 foot long?

Well it's just simply subtracting 6 - 4/5, and the answer is 5 1/5

ANSWERED AT 16/02/2020 - 06:18 AM

QUESTION POSTED AT 16/02/2020 - 06:18 AM

What is the volume of a cube that's length is 6 yards

I think the volume is 24

ANSWERED AT 16/02/2020 - 06:11 AM

QUESTION POSTED AT 16/02/2020 - 06:11 AM

What is the measure of a base angle of an isosceles triangle if its vertex angle measure 50?130706575

ANSWERED AT 16/02/2020 - 04:57 AM

QUESTION POSTED AT 16/02/2020 - 04:57 AM

Michael wants to find the length of the shadow of a tree. He measures the height of a fencepost and the length of the shadow it casts. The fencepost is 3.5 feet tall, and its shadow is 10.5 feet long. Next, Michael measures the height of the tree, and finds it is 6 feet tall. How long is the shadow of the tree?

ANSWERED AT 16/02/2020 - 02:12 AM

QUESTION POSTED AT 16/02/2020 - 02:12 AM

The product of 3x and (3x+1) is a t least 35

Therefore, 9x² + 3x ≤ 35.

Step-by-step explanation:

Given : 3x and (3x+1).

To find : the product of 3x and (3x+1) is at least 35.

Solution : We have given

According to question

3x (3x+1) ≤ 35 ( less than equal to sign for at least that mean value of should be 35 or may be greater than 35.)

9x² + 3x ≤ 35.

Therefore, 9x² + 3x ≤ 35.

ANSWERED AT 16/02/2020 - 02:10 AM

QUESTION POSTED AT 16/02/2020 - 02:10 AM

The length of a rectangular poster is 2 times its width. if the perimeter is 24 inches, what is the area of the poster?

I think it is 48 I'm not positive

ANSWERED AT 16/02/2020 - 02:09 AM

QUESTION POSTED AT 16/02/2020 - 02:09 AM

Xavier drove for 30 minutes, then spent 2 hours shopping, then drove for 15 minutes and stopped at a friend's house for 1 hour. The total distance he traveled by car is a function of time. Which graph most accurately represents this scenario?

Its The last Graph, Give The other Guy brainliest Though. :D

Step-by-step explanation:

ANSWERED AT 16/02/2020 - 01:58 AM

QUESTION POSTED AT 16/02/2020 - 01:58 AM

To go to dance class at 6:45 pm bus, kelly needs 35 minutes to walk home from a friends house, 30 minutes for dinner, and 20 minutes to drive to the class. To make class on time, what is the latest time she should leave her friends house

The latest time she should leave her friend's house is 5:20 to make it to class on time

ANSWERED AT 16/02/2020 - 12:43 AM

QUESTION POSTED AT 16/02/2020 - 12:43 AM

Three friends each have some ribbon. Carol has 42 inches of riribbon, Tino has 2.5 feet of ribbon, and Baxter has 1.5 yards of ribbon. Express the total length of ribbon the three friends have in inches, feet, and yards.

It should be 126in 10.5ft and 3.5 yards. First convert to inches then divide by 12 for feet then divide by 3 for yards.

ANSWERED AT 16/02/2020 - 12:42 AM

QUESTION POSTED AT 16/02/2020 - 12:42 AM

Zach read a book for 10 minutes every weekend in the first month, 20 minutes in the second month, 40 minutes in the third month, and 80 minutes in the fourth month. Victoria read a book for 35 minutes every weekend in the first month, 50 minutes in the second month, 65 minutes in the third month, and 80 minutes in the fourth month. Which statement best describes the methods used by Zach and Victoria to increase the time they spent reading a book? Zach's method is linear because the number of minutes increased by an equal factor every month. Victoria's method is linear because the number of minutes increased by an equal number every month. Both Victoria's and Zach's methods are exponential because the number of minutes increased by an equal factor every month. Both Victoria's and Zach's methods are exponential because the number of minutes increased by an equal number every month.

I think Victoria's method is linear because the number of minutes is increased by an equal factor every month. 35+15=50+15=65+15=80

ANSWERED AT 16/02/2020 - 12:40 AM

QUESTION POSTED AT 16/02/2020 - 12:40 AM

A baseball Player hits a ball 360 feet to the outfield it takes the ball for seconds to travel this distance.How many feet does the ball travel in 1 second

90 because 360 divided by 4 is 90. You can do the inverse operation and multiply 90 by 4 to get 360. At harder way to do it is by... Multiplying 9 times 4 and multiplying the answer by 10. All ways will add up to 360

ANSWERED AT 16/02/2020 - 12:39 AM

QUESTION POSTED AT 16/02/2020 - 12:39 AM

A restaurant is open 24 hours a day the manager wants to divide the day into work shifts of equal length the shift should not overlap and all shift durations should be a whole number of hours describe the different ways this can be done

You could divide the day in to 4 shifts of 6 or 3 shifts of 8 also 2 shifts of 12

ANSWERED AT 16/02/2020 - 12:29 AM

QUESTION POSTED AT 16/02/2020 - 12:29 AM

What is the measure of the vertex angle of an isosceles triangle if one of its base angles measure 53 and its congruent sides each measure 15 cm?

It's B. ~!~!~!~!~!~!~!~!~!

ANSWERED AT 16/02/2020 - 12:23 AM

QUESTION POSTED AT 16/02/2020 - 12:23 AM

Use the formula d = rt to find the distance d a long distance runner can run at a rate of 9 1/2 miles per hour for time t or 1 3/4 hours

D = (9 1/2) (1 3/4) D = 11 7/8 miles

ANSWERED AT 16/02/2020 - 12:21 AM

QUESTION POSTED AT 16/02/2020 - 12:21 AM