A 25 foot ladder is set against the side of a house so that it reaches up 15 feet. If Camden grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 12 ft.) Round to the nearest tenth of a foot.
Answer:
The ladder will reach a height of 9.8 foot
Step-by-step explanation:
Given
Initial Position
[tex]L = 25ft[/tex] --- Length of the ladder
[tex]h = 15ft[/tex] --- height against the wall
New position
[tex]L = 25ft[/tex] --- Length of the ladder
[tex]B = 3ft[/tex] --- 3 feet farther from the wall
Required
Determine the new height the ladder will reach
The question is illustrated using the attached image.
Where
[tex]\triangle ABC[/tex] represents the initial position of the ladder
[tex]\triangle DBE[/tex] represents the new position of the ladder
The new height is represented with BD
Using Pythagoras theorem on [tex]\triangle DBE[/tex]
[tex]DE^2 = BE^2 + BD^2[/tex]
[tex]BE = BC + CE = 20 + 3 = 23[/tex]
[tex]BD = x[/tex]
[tex]DE =25[/tex] --- length of the ladder
So, the expression becomes
[tex]25^2 = 23^2 + x^2[/tex]
[tex]625 = 529 + x^2[/tex]
Collect like terms
[tex]x^2 = -529 + 625[/tex]
[tex]x^2 = 96[/tex]
Take positive square roots of both sides
[tex]x = \sqrt{96[/tex]
[tex]x = 9.8ft[/tex] --- approximated
Answer:
9.8 FT
Step-by-step explanation:
its right
In the figure below,the segments JK and JL are tangent to the circle centered at O.Given that JL =13.2 and OJ=16.5,find OK.
Answer:
OK=9.9
Step-by-step explanation:
KJ and LJ both are on the circumference, are secants and coincides at the same outer point so they are equal.
JK=LJ so JK=13.2
Tangents are perpendicular to radius so the triangle in the circle is a right triangle.
Apply pythagorean theorem to find OK
[tex] {x}^{2} + 13.2 {}^{2} = 16.5 {}^{2} [/tex]
[tex]x = 9.9[/tex]
HELP NEEDED HERE ASAP
Answer:
5
Step-by-step explanation:
Plug in 6 in place of x in the expression
1/2x+2
1/2(6)+2
3+2
5
Answer:
5
Step-by-step explanation:
We are given the expression 1/2x + 2 and are asked to find the value when x = 6.
To solve, all we need to do is to substitute x with 6 :
1/2(6) + 2
Multiply 6 by the 1 in the fraction :
6/2 + 2
Divide 6 by 2 :
3 + 2
Add :
5
Robert has two and two-fifths cups of chocolate syrup left in his freezer. He uses one-fourth cup of chocolate syrup when he makes a milkshake. What is the maximum number of milkshakes that Robert can make with the chocolate syrup?
The number of milkshake cups will be 9³/₅.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Robert has two and two-fifths cups of chocolate syrup left in his freezer. He uses one-fourth cup of chocolate syrup when he makes a milkshake.
The number of milkshakes will be calculated as,
Number = 2²/₅ ÷ 1 / 4
Number = (12 / 5 ) ÷ ( 1/ 4 )
Number = ( 12 x 4 ) ÷ 5
Number = 48 ÷ 5
Number = 9³/₅
To know more about an expression follow
https://brainly.com/question/25429247
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At srinagar , the temperature was -4°C on Monday and then it dropped by 2°C on tuesday. what was the temperature of Srinagar on Tuesday. ? On Wednesday it rose by 5°C . what was the temperature on this day
Answer:
temperature on Monday= -4°C
temperature on Tuesday= -4-2°C = -6°C
temperature on Wednesday = -6°C + 5°C = -1°C
Step-by-step explanation:
hope it helps ❤️
Find the product of the polynomial (2x^3+3) (x+4)
PLS I NEED HELP BRANLIEST FREE
the square below is being reduced by a scale factor of one-third. what is the perimeter of the new drawing.
Step-by-step explanation:
Scale factor=1/3
one side of spuare=9 (being reduced)
=9÷3=3
perimeter =(3)4
=12cmhelp please thanks to whoever answer these will get brainliest and DONT SEND A LINK OR STEAL MY POINTS IF YOU DO I WILL REPORT YOU!!!
Answer:
All is in the picture
CAN SOMEONE PLEASE HELP ME I NEED IT TO PASS THIS CLASS
3 is 48
2 is 132
4 is 132
Its simple
After completing the fraction division 5 divided 5.3 miko used multiplication shown to check her work
Answer:
True
Step-by-step explanation:
Miko's work is not shown in this question. Regardless, her process of using multiplication to check her work is correct. When performing a division problem, you can multiply the quotient by the divisor and the product of this multiplication process should be equal to the dividend of the division problem. For example,
5 / 5.3 = 0.9434
0.9434 * 5.3 = 5
In a recent survey, 8 people were each asked the number of times they have been on a airplane. Here is a list of the responses.
16,26,12,9,17,26,11,14
Find the range of the data set.
Answer:
17
Step-by-step explanation:
Always arrange numbers in order from least to greatest.
To find the range you take the MAXIMUM # - MINIMUM #.
MAX # = 26
MIN # = 9
26 - 9 = 17.
Quadrilateral EFGH is similar to quadrilateral IJKL. Find the measure of side JK.
Round your answer to the nearest tenth if necessary.
H
7.5
G
L
29
K
a
11
E
Answer:
2+2=4
Step-by-step explanation:
if I just want to be here
When you identify what goals are conflicting, it is a part of
a)timeline
b)analysis
c)Revision
Answer: Analysis
Step-by-step explanation:
When analysing a project, one must try to find out everything that could impart on the success of the project such that any problems can be fixed and any potential problems be made contingencies for.
This is why it is here that you check to see whether and which goals are conflicting so that they can be fixed or aligned to ensure that the project comes out as a success.
stan's test score was 60% on a science test.if there were 35 items on the test,how many did stan miss
Answer:
21 correct 14 missed
Step-by-step explanation:
21/35 = .6
.6=60%
Answer:
14
Step-by-step explanation:
21 is 60% of 35
35 - 21 = 14
your answer is 14 :)
have a great day^^
please let me know if you didn't get my explanation
Alice has 14 baseball cards. Jason has twice as many card as Alice. Tom has 6 fewer cards than Alice . How many baseball cards do Alice , Jason , and Tom have altogether.
Answer:
50 cards
Step-by-step explanation:
Alice = 14 cards
Jason = 14 x 2 or 28
Tom = 14 - 6 or 8
Round each weight to the nearest ounce
Answer:
1
4
4
2
Step-by-step explanation:
well 1.35 so when you round if its 50 you would round up and if its any lower you round down.
Find the value of x to the nearest tenth.
9514 1404 393
Answer:
14.7
Step-by-step explanation:
The law of sines tells you side lengths are proportional to the sine of the opposite angle.
x/sin(46°) = 7/sin(20°)
x = 7(sin(46°)/sin(20°)) ≈ 14.7
The value of x is about 14.7.
How do you solve this
Answer:
1
Step-by-step explanation:
use the 3d equation because x = 1
1-1+1 = 1
A company offers a bonus retirement plans for its executive employees. The
employees are presented with 2 options.
Option #1: They will start an account $5000 and each year earn 25% on the money
in the account. (i.e. a growth factor of 1.25)
Years Warked
2
Retirement Account $5000.00 $6250 00 $781250
Option #2: They will start an account $5000 and each year and each year there after
continue to add $5000 to the account.
Years Worked
Retirement Account 55000.00 $10,000 $15.000
Which retirement option would be worth more at the end of 20 years?
Option #1
Option #2
They are both equal at 20 years,
Answer:
option 1
Step-by-step explanation:
Option 1 . the value after 20 years can be determined using this formula
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
5000 x (1.25)^20 = $433,680.87
Option 2 = 5,000 x 20 = $100,0000
Option 1 has a higher value in 20 years
A trapezoid has an area of 50 square units. The lengths of the bases are 10 units and 15 units. find the height.
(Explain how did you solve)
Step-by-step explanation:
area = ( base 1 + base 2 ) ÷ 2 x height
50 = ( 10 + 15) ÷2 x height
50 ÷ 12.5 = height
height = 4
he levels of mercury in two different bodies of water are rising. In one body of water the initial measure of mercury is 0.05 parts per billion (ppb) and is rising at a rate of 0.1 ppb each year. In the second body of water the initial measure is 0.12 ppb and the rate of increase is 0.06 ppb each year.
Which equation can be used to find y, the year in which both bodies of water have the same amount of mercury?
0.05 – 0.1y = 0.12 – 0.06y
0.05y + 0.1 = 0.12y + 0.06
0.05 + 0.1y = 0.12 + 0.06y
0.05y – 0.1 = 0.12y – 0.06
Answer:
i think it is c but i don't know
Step-by-step explanation:
give me a brainiest
Which ordered pair is a solution of the inequality
y ≥ 4x - 5
A: (3,4)
B: (2,1)
C: (3,0)
D: (1,1)
Simplify (-6/7 + 18/28 ) x -7/5
Which of the following is the maximum amount each year you can put into an IRA before you are fifty?
$3,000
$8,000
$2,000
$5,000
Answer:
$3,000
hope this helped! :)
HELP PLSSS!!! ASAP I just want to make sure my answer is right
Answer:
your answer is correct
but in the third line 4.5×0 is wrong
it's 4.5×1
ASAPPPPP
21. The organizers of a talent show have budgeted $1800 to buy souvenir clothing to sell at
the event. They can buy shirts for $10 each and hats for $8 each. They plan to buy at
least 5 times as many shirts as hats.
The organizers used these inequalities to determine the number of shirts, s, and hats,
h, that can be ordered.
10s +8 S 1800
h 5s
What error did the organizers make?
A. The inequalities should be equations.
B. The first inequality should be 10s + 8h 2 1800.
C. The second inequality should be s 5h.
D. The first inequality should be s + < 1800.
find angle that is marked by question mark
Answer:
? = 50°
Step-by-step explanation:
? = 180° - 130° = 50°
help me pls
will give brainliest
Answer:
22 qt
Step-by-step explanation:
1 gallon = 4 quart
5 × 4 + 2 = 22 qt
Answer:
22 qt
Step-by-step explanation:
1 gallon = 4 qt
5 gallon = 20qt + 2 =22
Jovan spent 2/3 of his savings on a watch. He also spent of 1/5 his savings on a bag. (a) What fraction of his savings was left? (b) How much did he spend on both the items? Tell me the steps to get the answer please, Thanks... Have A Good Day/ Night.. :D
Answer:
2/15
13/15
Step-by-step explanation:
Amount spent = sum of amount spent on watch and bag
[tex]\frac{2}{3} + \frac{1}{5}[/tex]
[tex]\frac{10 + 3}{15}[/tex]
= [tex]\frac{13}{15}[/tex]
Fraction left = 1 - amount spent
1 - 13/15
2/15
I GIVE BRAINLEST NOT TAKING LINKS BYW OR UR REPORTED ‼️‼️‼️‼️
A scientist has genetically modified a salmon that can grow three times larger than a native species. The modified salmon swims slower and has a shorter lifespan than the native species. Which statement
best descebes a concer if this genetically modified salmon is accidentally released into the wild?
The native salmon could swim slower
The lifespan of native salmon could decrease.
оооо
The modified salmon could breed with native salmon, altering the offspring's fitness for the environment
The presence of the modified salmon could cause a decrease in the amount of native salmon caught in fishing nets
Answer:
I got C and D, I'm not sure if there's an option for both. It's most likely C however,
Step-by-step explanation: