Answer:
14.2
Step-by-step explanation:
The ladder forms a right angles triangle,
We have,
h=20
p=16
b=x
Using pythogorean theorem,
b=√(20^2-16^2)
√144
b=12
Now,
Since, she pulls it 2 cm,
b=x+2
b=14
p=?
Using pythogorean theorem,
p=√(20^2-14^2)
√204
p=14.2828568571
Rounding to the nearest tenth,
p=14.2
The side of the ladder will reach up is 14.3 feet.
What is trigonometric Ratios?"Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. It is with respect to any of its acute angles are known as the trigonometric ratios of that particular angle".
For the given situation,
Hypotenuse, h = 20 feet
Perpendicular, p = 16 feet
Base = b
By Pythagoras theorem,
[tex]h^{2} = p^{2} + b^{2}[/tex]
⇒[tex]20^{2} = 16^{2}+b^{2}[/tex]
⇒[tex]b^{2} = 400-256[/tex]
⇒[tex]b^{2}=144[/tex]
⇒[tex]b=\sqrt{144}[/tex]
⇒[tex]b=12[/tex]
The ladder at the house is pulled 2 feet farther.
So, base = [tex]12+2[/tex]
⇒[tex]b=14[/tex]
Now, the side of the ladder will reach up
[tex]p^{2} = h^{2}-b^{2} \\[/tex]
⇒[tex]p^{2}=20^{2}-14^{2} \\[/tex]
⇒[tex]p^{2}=400-196[/tex]
⇒[tex]p^{2}=204[/tex]
⇒[tex]p=\sqrt{204}[/tex]
⇒[tex]p=14.28[/tex]
⇒[tex]p=14.3[/tex] (rounded off to nearest tenth)
Hence we can conclude that the side of the ladder will reach up is 14.3 feet.
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If x=5 find the value of (x+3) ²
Answer:
64
Step-by-step explanation:
x = 5
5 + 3 = 8
8²= 8 x 8 which is 64
Answer:
(x+3) ²
((5)+3) ²
(8) ²
64
Write the equation of a line that is perpendicular to y = 3x - 2 and goes through the point (0,5)
Answer:
y = -1/3x + 5
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. This means that if you multiply the slopes of both linear equations, the product will be -1.
Given the linear equation, y = 3x - 2, and the point (0, 5):
The negative reciprocal of the slope (m) = 3 is -1/3. Hence, we can assume that the slope of the other line must be -1/3.
Next, using the slope of the other line (m = -1/3) and the given point, (0, 5), we'll substitute these values into the slope-intercept form, y = mx + b, to solve for the y-intercept (b):
y = mx + b
5 = -1/3(0) + b
5 = 0 + b
5 = b
The y-intercept (b) of the other line is 5.
Therefore, the linear equation of the line perpendicular to y = 3x - 2 is:
y = -1/3x + 5
Please mark my answers as the Brainliest if you find my explanations helpful :)
Help pls will give brainliest
Answer:
your answer is m[tex]\leq[/tex]60 which is answer choice C
I hope this helps
Answer:
C. m is less than or equal to 60
Step-by-step explanation:
11 - m/3 > - 9
-m/3 < -20
m/3 < 20
m < 60
Axel and Carl both volunteer at a science museum. The manager needs one helper at a time for at most 18 hours this month. Axel wants to work at least 6 hours. The manager wants Carl to work no more than twice as many hours as Axel. Let a represent the number of hours that Axel works. Let c represent the number of hours Carl works. Which system of inequalities represents the constraints of this problem situation?
We want to find a system of inequalities that models the given situation.
We will find the system:
a + c ≤ 18
a ≥ 6
c ≤ 2*a
First we define the variables:
c = number of hours that Carl works.a = number of hours that Axel worksThe given information is:
The manager needs one helper at a time for at most 18 hours.
From this we can write:
a + c ≤ 18
Axel wants to work at least 6 hours.
a ≥ 6
The manager wants carl to work no more than twice as many hours as Axel.
c ≤ 2*a
The system is then:
a + c ≤ 18
a ≥ 6
c ≤ 2*a
If you want to learn more, you can read:
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Find the area of the regular pentagon
Answer:
here
A= 50
B = 62
Step-by-step explanation:
we know that
area of the regular Pentagon is 5/2*A*B
=5/2*50*62
=7750
A graphical device for depicting categorical data that have been summarized in a frequency distribution, relative frequency distribution, or percent frequency distribution is a:
The graphical device that divides data according to the percentage they represent is a pie-chart.
Frequency distribution, relative frequency distribution, or percent frequency distribution all are statistical measures that want to establish the part of the distribution corresponding to each measure, that is, percentages, thus they are represented by pie-charts.
An example, suppose that among 50 people sampled, 20 prefer the NBA and 30 the NFL.
Thus, 60% of the sample prefers the NFL, and 40% the NBA.This information is well represented by the pie-chart sketched at the end of this answer.A similar problem is given at https://brainly.com/question/14354536
What is the quotient of 4.644 x 10^8 and 6.45 x 10^3 expressed in scientific
notation?
Answer:
7.2 x 10^4
Step-by-step explanation:
The quotient of 4.644 x 10⁸ and 6.45 x 10³ expressed in scientific notation is 7.2 x 10⁴.
What is the quotient of division?The quotient of 4.644 x 10⁸ and 6.45 x 10³ expressed in scientific notation, is calculated as follows;
(4.644 x 10⁸) / (6.45 x 10³) = (4.644 / 6.45) x (10⁸ / 10³)
Calculating the division:
= 72,000
Now, we need to express the result in scientific notation. Move the decimal point to the left until there is only one non-zero digit to the left of the decimal point.
= 72,000
= 7.2 x 10⁴
So, the quotient of 4.644 x 10⁸ and 6.45 x 10³ expressed in scientific notation is approximately 7.2 x 10⁴.
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HELP ME QUICK PLS BEFORE 11:59PM EST TIME
Answer:
what is the question
Step-by-step explanation:
Brandon bought a pair of sneakers for $55
that had a regular price of $90.
Answer:
brandon paid $35 more than retail value.
Answer:
Dirty 5 more than retail value
find the slope thnks
the slope is 5/3
hope this can help !! :)
help me, please. I need it quick
Answer:
Perimeter : 8
Step-by-step explanation: 2 times 4= 8
in one month, Lee made 4 self-service deposits and 4 self-service withdrawals on her account, she visits a teller on two occasions, once to make a foreign currency purchases and once to pay a bill, her minimum monthly balance was $965.95 She has a Value account, what are her fees? The answer is $5.90 but how do you get that answer?
Answer:hol up
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(3x)°
36
Answer:
Gucci bags of doing a little Bobby I will be a great time to be the way you want to make the day when mother asked for a good idea and we are going on in group the answers the way I can get a good day please find a way for me to be able to get a chance and objectives are a great weekend and write a good time and consideration and I will send you a call from you want to be the first night and write the way I can do you want to be a good idea to get to know you're name num front door and consideration and I will send the way for you to be able a few minutes and consideration and look forward for your
the measure of an angle is 70 degree less than the measure of its supplement find its measure
Answer:
110˚
Subtract 70 from both sides. Thus, a 70˚ angle and a 110˚ angle are supplements of one another
Step-by-step explanation:
hope this helps if it does plz mark brainliest
algebric expression
divide the following
Answer:
3
Step-by-step explanation:
WORTH 20 POINTS!!!! WILL MARK BRAINLIEST PLEASE ANSWER THESE 5 questions ASAP!!!!
Please write the answer to the equation to all these problems
Question 1
(-8,6);slope = 1/4
Question 2
(1,-7);slope=-1
Question 3
Write a linear equation given to the point and slope or two points
(-7,13);slope=-2
Question 4
Write an equation parallel to 2x+5y=15 that passes through the point (-10,1)
Question 5
(-5,-11) and (-2,1)
Answer:
Question 1 y=(1/4)x+8
Step-by-step explanation:
Use calculator
Answer:
1) y = 1/4x + 8
2) y = -x - 6
3) y = -2x - 1
4) y = -2/5x -3
5) y = 4x + 9
Step-by-step explanation:
1) y = 1/4x + c
6 = -2 + c
c = 8
y = 1/4x + 8
2) y = -x + c
-7 = -1 + c
c = -6
y = - x - 6
3) y = -2x+c
13 = 14 + c
c = -1
y = -2x - 1
4) 5y = -2x + 15
y = -2/5x + 3
Hence,
y = -2/5x + c
-10 = -2/5 + c
c = -3
Therefore,
y = -2/5x -3
5) Slope: (1-(-11))/(-2-(-5))
= (1+11)/(-2+5)
= 12/3
= 4
y = 4x +c
Substituting any one of the points:
1 = -8 + c
c = 9
y = 4x + 9
Hope this helps you and have a great time ahead at brainly! :D
Rikki got her haircut which cost $16. She gave the stylist a 25% tip. How much was the tip?
0/2
Answer:
$4
Step-by-step explanation:
Because 16*.25 is 4
What is the distance, d, between the points (2, 3) and (,1)?
Enter your answer in the box. Enter your answer in simplest radical form.
d=0
=
Answer:
[tex] \sqrt{97} \div 6[/tex]
help me :’(b bjkknjhhh
Answer:
Read below
Step-by-step explanation:
For the first row, the inequality is x ≤ -5.
For the second row, the inequality is x < -5.
For the last row, the inequality matching the graph is x ≥ -5.
A trick to remember the sign is if the point on the graph is empty, then the sign would be either < or >, and if it's filled, it would be ≤ or ≥.
Also, x is less is on the left (negative) and x is more is on the right (positive).
Select the choice that translates the following verbal phrase correctly to algebra:
one third of a number increased by 12
one thirdn + 12
n plus 12 over 3
one third(n + 12)
n + one third(12)
Answer:
I literally did not understand ur question
write the equation which represents the following transformations
1. slide right by 5 and up by 3 then reflect over the x axis
2. a vertical stretch by a factor of 3 and translate down by 4 units
Answer:
1234588765
Step-by-step explanation:
use the geometric properties and theorems you have learned to solve for x and show work
PLS HELP
Answer:
Step-by-step explanation:
* Knowing that they are vertical angles must mean that both angles are equal
45=3x
*divide both sides by 3
x=15
3(15)=45
8(11 - x) = 152
Solve for x
Fill in the missing statements and reasons in the proof. URGENT WILL GIVE BRAINLIEST
Answer:
THERE ARE NO MISSING STATEMENTS LOL give brainliest tho
In which situation will Kiyo end up in the same location as where she started?
Kiyo walks 3 steps forward, 9 steps backward, and 3 steps forward.
Kiyo walks 17 steps backward, 20 steps forward, and 2 steps backward.
Kiyo walks 7 steps forward, 10 steps backward, and 3 steps forward.
Kiyo walks 12 steps backward, 16 steps forward, and 8 steps backward.
GIVING BRAINLY
Answer:
In third condition
Step-by-step explanation:
In,
Kiyo walks 7 steps forward, 10 steps backward, and 3 steps forward.
For BRAINILY please help
Answer:
Yes
Step-by-step explanation:
hope this helps <33
can i have brainliest plz?
Answer:
No
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side
Determine the place value of the digit 3 in the whole number. 30,500,421
Answer:
30,000,000 or Thirty million -------> Ten millions place
Step-by-step explanation:
Hope this helps!
pleasee helpppp!!!!
A man is 47 years old, and his sister is 43 years old. How many years ago was the man twice as old as his sister?
Answer:39 years ago
Step-by-step explanation:The difference between his age and his sister's is 4.So when he was 8 she 4.So you do 47-8 which is 39.
This year, the girl scouts sold 2 more than four times as boxes of cookies as they did last year. This year they sold 402 boxes.
How many boxes did they sell last year?
Answer:
100
Step-by-step explanation:
they sold 2 more that 4 times as many, so subtract two
402-2=400
then divide by four
400/4=100
Hope this helps!
a line segment is defined as a part of a straight line connecting two points called the
Answer:
chord
Step-by-step explanation:
I'm just filling this blank, when I need to send it's say more words