A 26 foot ladder is set against the side of a house so that it reaches up 24 feet. If Mila
grabs the ladder at its base and pulls it 12 feet farther from the house, how far up the side of the house will the ladder reach now?
Answers
Answer:
13.9
Step-by-step explanation:
13.85 feet far up the side of the house will the ladder reach now.
Given that, a 26 feet ladder is set against the side of a house so that it reaches up 24 feet.
What is heights and distances in trigonometry?In mathematics, you can calculate the height of an object using the distance and angles. Here distance is the horizontal distance between the object and the angle is the angle above the horizontal of the top of the object, which gives the height of the object.
Let the distance between base of house to foot of the ladder be x.
Using Pythagoras theorem 26²=24²+x²
⇒ 676 = 576 + x²
⇒ x² = 100
⇒ x =10 feet
Mila grabs the ladder at its base and pulls it 12 feet farther from the house.
Now, the distance between base of house to foot of the ladder = x+12
= 10+12 = 22 feet.
So, up the side of the house the ladder reach = 24-h
Then, 26² = (24-h)²+22²
⇒ 676 = (24-h)²+484
⇒ (24-h)² = 192
⇒ (24-h) = √192
⇒ (24-h) = 13.85
⇒ h = 24-13.85
⇒ h = 10.15 feet
Therefore, 13.85 feet far up the side of the house will the ladder reach now.
To learn more about the heights and distance in trigonometry visit:
https://brainly.com/question/27917190.
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Related Questions
what is the simplified fractional equivalent of the terminating decimal 0.78?
Answers
Answer: 39/50
Step-by-step explanation: the answer is 39/50
Answer:
the answer is 39/50
Step-by-step explanation:
thank you
Graph the line with the equation y = 1/2x+3
Answers
Answer:
(0,3) (-6,0) these will be the points
math help pls answer
Answers
Answer:
-7 -4 0 1 7
Step-by-step explanation:
x=0
x²-49=0
x²=49
x=±7
x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0
x+4=0
x=-4
x=1
can you help me pleaseeeeee
Answers
a. 11
b. 48
c. 27
Hope this helped \(￣︶￣*\))
PLZZZ HELP MEEEEE!!!!
Answers
Answer:
She would use the mean.
Step-by-step explanation:
Select the correct function. Select the function with an average rate of change of 3 over the interval [1, 3].
Answers
Answer:
Function g(x)
Step-by-step explanation:
Given
See attachment for functions
Required
Which has an average rate of 3 over [1,3]
The average rate of change (m) is calculated as:
[tex]m = \frac{f(b) - f(a)}{b -a}[/tex]
Where:
[tex][a,b] = [1,3][/tex]
So, we have:
[tex]m = \frac{f(3) - f(1)}{3 -1}[/tex]
[tex]m = \frac{f(3) - f(1)}{2}[/tex]
From the table f(x), we have:
[tex]f(3) = 6\\ f(1) = -2[/tex]
So:
[tex]m = \frac{6 - -2}{2}[/tex]
[tex]m = \frac{8}{2}[/tex]
[tex]m =4[/tex]
From the graph of g(x), we have:
[tex]g(3) = 4\\ g(1) = -2[/tex]
So:
[tex]m = \frac{g(3) - g(1)}{2}[/tex]
[tex]m = \frac{4 - -2}{2}[/tex]
[tex]m = \frac{6}{2}[/tex]
[tex]m =3[/tex]
Since only one of the function has an average rate of change of 3 over the given interval,
Then g(x) answers the question
2
EXERCISE 6.4
Challenge
Use the given rules to complete the following tables.
1
2
3
4
12
Position in sequencen
Term in sequence y = 2n + 3
the position in the
Imagine that you
work for 30 days.
Which of the
following two salar
would you rather
earn? Explain your
choice.
2.
1
2
3
4
15
10
Position in sequencen
Term in sequence y = -2n - 4
3.
2
Position in sequencen
3
18
4
10
Term in sequence y = -5n - 4
1
2
3
4
11
Position in sequencen
Term in sequence y = -2n - 14
10c on the first
20c on the seca
day; 40c on the
third day; 800
the fourth day
so on, for 30 C
R100 on the f
day; R101 on
second day;
on the third
and so on, fa
days.
.
10
5.
1
2
3
4
10
Position in sequencen
Term in sequence y = n+1
6.
2
1
20
3
4
Position in sequences
Term in sequence y = 2r2
Answers
Answer:
Unit 9 Answer Key.pdf
Step-by-step explanation:
Search that up and you'll see all the answers
Please give me Brainliest and like and rate please hope this helps BYE!
A triangle has sides with lengths of 10 millimeters, 17 millimeters, and 18 millimeters. Is it a right triangle?
Answers
Answer:
no, it is not
if it were a right triangle, 10² + 17² = 18²
but this is not the case
Step-by-step explanation:
we would use Pythagoras theorem to determine if it is a right angle
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² + 17² =
100 + 289 = 389
square root of 389 is 19.72 and not 18. thus, it is not a right triangle
1. The perimeter of a rectangular garden is 348 m. If the width of the garden is 81 m, what is its length?
2. The area of a rectangular window is 6624 cm If the length of the window is 92 cm, what is its width?
Answers
Answer:
1. 93 m is the length of the rectangular garden.
2. The width of the window is 72 cm.
Step-by-step explanation:
Can you pllllsssssss help meeeeee
Answers
Answer:
0
Step-by-step explanation:
find mean : 2+3+4+7 divided by 4 equals 4
subtaract mean from valuses: 2-4= -2 , 3-4= -1 , 4-4= 0 , 7-4= 3 ,
find mean with new numbers: -2+-1+3+0 divided by 4 equals 0 (everything cancels out)
If the same textbook is in a lower shelf that is o.75 m above the floor. What is its potential now?
Answers
Answer:
PE = 51.45 Joules
Step-by-step explanation:
PE = mgh
= (7.0 kg)(9.8m/s^2)(0.75 m)
= 51.45 Joules
what percent is 25 is 4 plz help
Answers
Answer: 16%
Step-by-step explanation:
4:25*100 =
(4*100):25 =
400:25 = 16
WILL REWARD BRAINIEST! What is the volume of the composite figure if both the height and the diameter of the cylinder are 10.5 feet? Give the exact answer and approximate to two decimal places.
Answers
Answer:
908.74
Step-by-step explanation:
The formula for the volume of a cylinder is V = h * pi * r^2
h is height, r is radius, and pi is 3.14. The radius is half of the diameter, so that would make the radius 5.25.
So now plug it into the formula:
V = 10.5 * pi * (5.25)^2
= 908.74
Hope this helped! :)
Answer:
1211.65 cubed ft.
Step-by-step explanation:
Half sphere: V = 4/3(3.24)(5.25^3)
V = 605.82
Divide by two since we need to find the volume of the half sphere, not the full sphere.
605.82 ÷ 2 = 302.91
Cylinder: V = (3.14)(5.25^2)(10.5)
V = 908.74
Add the two volumes to each other to find the total volume of the composite figure.
908.74 + 302.91 = 1211.65
– 6 (2x – 3) – 11
A: 12x 29
B:
7 12x
C:
12x 7
D:
7 12x
E: None of these
Answers
Answer:
12x + 7 is the answer
Step-by-step explanation:
A merchant bought 12 boxes of eggs containing 10 eggs each at the rate of rs 50 per box.He spent rs 40 on transportation.He sold the eggs at rs 12 per pair.Calculate his gain or loss%.
Answers
Given:
A merchant bought 12 boxes of eggs containing 10 eggs each at the rate of Rs 50 per box.
He spent Rs 40 on transportation.
He sold the eggs at rs 12 per pair.
To find:
The gain or loss percentage.
Solution:
The cost of 1 box of eggs is Rs. 50. So, the cost of 12 boxes of eggs is:
[tex]12\times 50=600[/tex]
Number of eggs in 12 boxes is:
[tex]12\times 10=120[/tex]
He spent Rs 40 on transportation. So, total cost of 12 boxes of eggs is:
[tex]600+40=640[/tex]
Cost of each egg is:
[tex]\dfrac{640}{120}=\dfrac{16}{3}[/tex]
He sold the eggs at Rs 12 per pair. It means the selling price of two eggs is Rs 12. So, the selling price of each egg is:
[tex]\dfrac{12}{2}=6[/tex]
We need to find the gain or loss percentage.
Since [tex]\dfrac{16}{3}<6[/tex] it means the selling price is greater than the cost price, therefore it is gain.
The gain percent is:
[tex]Gain\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]
[tex]Gain\%=\dfrac{6-\dfrac{16}{3}}{\dfrac{16}{3}}\times 100[/tex]
[tex]Gain\%=\dfrac{\dfrac{18-16}{3}}{\dfrac{16}{3}}\times 100[/tex]
[tex]Gain\%=\dfrac{2}{16}\times 100[/tex]
[tex]Gain\%=12.5\%[/tex]
Therefore, the gain percent is 12.5%.
What is the area of sector GPH?
The area of sector GPH is
=____square yards.
Answers
Answer:
sector GPH = 16π yd²
Step-by-step explanation:
area of full circle = πr² = (π)(12²) = 144π yd²
area of 40° segment = (40/360)(144π) = 16π yd²
Find the measurement of Dae need help fast
Answers
Answer:
D = 80 degrees or (76+4) C And F are 70 i think
Step-by-step explanation:
54:40
Maya is finding the area of the shaded triangle below.
A triangle has a base of 73 meters and a height of 10 meters.
If she considers 10 m to be the height of the triangle, what should she use as the triangle’s base?
22 m
25 m
52 m
73 m
Answers
Answer:
d) 73 m
Step-by-step explanation:
From the Question, we are told that:
Maya is finding the area of the shaded triangle below.
A triangle has a base of 73 meters and a height of 10 meters.
If she considers 10 m to be the height of the triangle, what should she use as the triangle’s base?
The area of a triangle = 1/2 × Base × Height
We are already told the base of the triangle from the question and this is 73 m
Option D, 73 m is the correct answer
What is the potential energy of a 500kg elevator that is 4.0m high from the floor?
Answers
Answer:
19,600 JStep-by-step explanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
We have
PE = 500 × 9.8 × 4
We have the final answer as
19,600 JHope this helps you
Find the area. Please hurry!
Answers
Please!!!!!!!
Can someone please help me with this question.
I will mark the first person brainliest if they answer with an actual answer not a link.
Answers
Answer:
It's 5,-5 because you always put the x axis numbers first.
Step-by-step explanation:
A ball is kicked upward with an initial velocity of 56 feet per second. The ball's height h (in feet) can be expressed as a function of time t (in seconds) by the equation h = -16t2 + 56t. How much time does the ball take to reach its highest point?
1.75 seconds B) 2.50 seconds C) 2.75 seconds D) 3.50 seconds
Answers
Answer:
1.75
Step-by-step explanation:
h(t) = -16t² + 56t
h'(t) = -32t + 56
To find time at max height equate h' to 0
0 = -32t + 56
t = 56/32 = 1.75 s
It takes 1.75 s to reach max highest point
a cat is stuck on the root. if the ladder is 16 feet long and must be placed six feet away from the building. how high can the ladder reach up the building to help save the cat
Answers
Step-by-step explanation:
a^2 + b^2 = c^2
height + 6^2 = 16^2
height = 14.83
solve 6x + 6 = 3x - 6
Answers
Answer:
x = -4
I hope it's helps you t
Answer:
x = -4
Step-by-step explanation:
Simplifying
6x + 6 = 3x + -6
Reorder the terms:
6 + 6x = 3x + -6
Reorder the terms:
6 + 6x = -6 + 3x
Solving
6 + 6x = -6 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
6 + 6x + -3x = -6 + 3x + -3x
Combine like terms: 6x + -3x = 3x
6 + 3x = -6 + 3x + -3x
Combine like terms: 3x + -3x = 0
6 + 3x = -6 + 0
6 + 3x = -6
Add '-6' to each side of the equation.
6 + -6 + 3x = -6 + -6
Combine like terms: 6 + -6 = 0
0 + 3x = -6 + -6
3x = -6 + -6
Combine like terms: -6 + -6 = -12
3x = -12
Divide each side by '3'.
x = -4
what goes in the highlighted box?
Answers
Answer: 11y
Step-by-step explanation:
When you add 6y and 5y that equals 11y <3
Answer:
11Y goes in the highlighted section.
Step-by-step explanation:
Since the Xs was crossed out you don't have to worry about the X going tin the highlighted area.
Then add the Ys together.
I can't really explain anymore, but i hope this helps!!!!
Then your final answer would be y=6. :)
The ages of customers at a store are normally distributed with a mean of 45 years and a standard deviation of 13.8 years.
(a) What is the z-score for a customer that just turned 25 years old? Round to the nearest hundredth.
(b) Give an example of a customer age with a corresponding z-score greater than 2. Justify your answer.
Best answer gets brainliest!
Answers
The Standard Normal distribution follows a normal distribution and has mean 0 and ... z = s. Example. Find the z-score corresponding to a raw score of 132 from a ... be less than a given value, greater than a given value, or in between two values. ... P(z < 2.37). Solution. We use the table.
there are two holes in the roof that are leaking water. the one in the bathroom drift 120 drops in an hour. the other one in the kitchen dripped 80 drops in 30 minutes. which one is leaking more water?
Answers
Answer:
the more leaking place is the bathroom
Explanation:
1 hour=60 minutes
the bathroom drift 120 drops in 60 minutes
so, the bathroom drift 1 drop in 120/60 minutes
=60 minutes
the other one in the kitchen dripped 80 drops in 30 minutes.
so, the other one in the kitchen dripped 1 drop in 80/30 minutes
= 8/3 minutes
so the more leaking place is the bathroom because 60 > 8/3
please mark as brainliest
Kevin is painting a border around his dining room. What measurement does Kevin need to know about the wall before he starts?
1: Area
2: Volume
3:Perimeter
Answers
Answer:
Perimeter
Step-by-step explanation:
Perimeter is the distance around an object. In this scenario the object in question would be Kevin's dining room. Keyword for perimeter here is around.
This is because Perimeter is the amount around the space and everything
Find the area of the rectangle.
2X+3
X+1
Answers
Answer:
Doesn't seem like a rectangle but when you combine like terms you get 5x+1
sorry if it didn't help.
Step-by-step explanation:
Explanation: 2x+3(x+1)
2x(x+1) +3 (x+1)
2x (squared) + 2x + 3x + 3
hope that helps if u have any questions let me know also are u sure that this is the full question because it doesn't really make sense like it doesn't give any measurements at all so you can't really find the area you can only simplify the equation??
if there is any more information about this question comment under this and i will solve it fully!!
Nick has an album that holds 700 compact discs. Each page of the album holds 7 compact discs. If 69% of the album is empty, how many pages are filled with compact discs?
Answers
Answer:
41
Step-by-step explanation:
each page holds 7 discs. the alb holds 700 discs. that means there are 100 pages. 69% of the pages are empty so therefore 41 pages are filled.
