Answer:
Let the base of the 15ft long ladder be placed x ft away from the wall so that it exactly reaches the top of a 12- foot tall wall.
By Pythagorean theorem
12
2
+
x
2
=
15
2
⇒
x
2
=
15
2
−
12
2
=
81
⇒
x
=
√
81
=
9
ft
The base of the 15-foot ladder should be set back from the wall by x feet in order for it to precisely reach the top of a 12-foot wall.
What is nearest tenth?The decimal number can also be rounded to the nearest tenths place value. The first number that appears after the decimal point is the tenth place value. Look at the hundredth number to round the decimal number to the nearest tenth. If it's more than 5, add one to the tenth value.
The tenths digit stays the same if it is 4 or less. The hundredths place digit, 8, is greater than or equal to 5, so 3.58 can be rounded to 3.6. Due to the fact that the digit in the hundredths place, 2, is less than 5, 3.32 would be rounded to 3.3.
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Given that ∠3≅∠5 .
Which theorem proves that d∥e?
alternate exterior angles theorem
converse of the alternate interior angles theorem
converse of the alternate exterior angles theorem
alternate interior angles theorem
By alternate interior angles theorem ∠3≅∠5, d║e. Therefore, option D is the correct answer.
From the given figure ∠3≅∠5.
What are alternate angles?The alternate exterior angle theorem states that if two lines are parallel and are intersected by a transversal, then the alternate exterior angles are considered as congruent angles or angles of equal measure.
From the given figure, 46° + ∠3 =180°
⇒ ∠3 =134°
∠3 = ∠5 =134° (alternate interior angles)
By alternate interior angles theorem ∠3≅∠5, d║e. Therefore, option D is the correct answer.
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can someone help me plsss
Answer:
c=23/24
Step-by-step explanation:
c+3/8=1/1/3
c+3/8=4/3
c+9/24=32/24
c=32/24-9/24
=23/24
1. If you report to work at 18.00 on a Wednesday and you get off at 02.50 on a
Thursday, which day of the pay period week are you working?
2. If you report to work at 06.00 on Friday and you get off work at 14.50 on Friday,
which Tour did you work?
I
3. If you report to work at 22.50 on Friday, for Week 2, and you get off of work at
07.00 on Saturday, for Week 1, your time worked is recorded for the next pay
period. Why?
What is the answer to this
what is the answer is 34 lekende eza
Answer:
Yes
Step-by-step explanation:
This is a function because every value in set A has only 1 value in set B.
The graph of a quadratic function has y-intercept 10 and one of its x-intercepts is 1
Answer:
c = 10
Step-by-step explanation:
For quadratic
y = ax^2 +bx +c
the y-intercept is c.
c = 10
_____
The y-intercept is the value of y when x=0. Using x=0 reduces the equation to ...
y = c
what is a ratio comparing two different units.
Answer:
A rate is a ratio that compares two different quantities that have different units of measure. A rate is a comparison that provides information such as dollars per hour, feet per second, miles per hour, and dollars per quart, for example.
Step-by-step explanation:
Your welcome
b)
Here is another number machine.
Input
Output
х
4x + 5
Answer:
collect like terms x=5-4=1
How to solve algebraic inequalities.
Algebraic inequalities can be solved in the same way in which algebraic equations are solved.
Solve each equation.
1. r-38= 9 _____
2. h+17=40 _____
3. n + 75= 155 ____
4. q - 17= 18 _____
Answer:
1. r - 38 = 9
=> r = 9 + 38
=> r = 47
2. h + 17 = 40
=> h = 40 - 17
=> h = 23
3. n + 75 = 155
=> n = 155 - 75
=> n = 80
4. q - 17 = 18
=> q = 18 + 17
=> q = 35
Step-by-step explanation:
Hoped this helped.
There are ten people lined up and they are lined up from shortest to tallest. determine the order of the people from the following clues
-bill is taller than will. will is taller than violet
-violet is taller than Ted. Cody is taller than violet but shorter than will
-sam is standing between sal and Todd, who is shorter than Bill but taller than Sam
-van is standing between Bill and Ian, who is standing next to Todd
-there are seven people standing between van and Ted.
NAMES
Ted, Bill, Ian, Van, Cody, Sal, Violet, Sam, Will, Todd
1 being shortest, 10 being tallest.
PLEASE PROVE YOUR WORK :)
9514 1404 393
Answer:
Ted-1, Bill-10, Ian-8, Van-9, Cody-3, Sal-5, Violet-2, Sam-6, Will-4, Todd-7
Step-by-step explanation:
The key to this seems to be "there are seven people standing between Van and Ted." This means either Van or Ted is at one end of the line. There will be one person standing at the end beside whichever one of these is not at the end of the line.
Then "Van is standing between Bill and Ian, who is standing next to Todd" tells you it is not Van who is at the end, but it is Bill. This tells you the four tallest people in decreasing order are Bill, Van, Ian, and Todd. We know Bill is not the shortest, because Bill is taller than Todd. That means Ted is the shortest.
The next shorter people than Todd are Sam and Sal (Sam is between Sal and Todd).
At this point we know the order of 7 people: the 6 tallest, and the shortest. The remaining 3 are Violet, Cody, and Will. Since "Cody is taller than Violet, but shorter than Will," we know the final order, shortest to tallest, is ...
Ted, Violet, Cody, Will, Sal, Sam, Todd, Ian, Van, Bill
A helicopter floats 120m above a helipad, a dog is 85m from the helipad, if the dog could fly, how far would it have to fly to get to helicopter?
If the dog could fly, it would need to fly 147 meters to catch the helicopter
This is a rather easy and straightforward question. We are going to solve it using Pythagoras theorem. We can interpret the question to be in a triangle where the height of the helicopter above the helipad and away from the dog is the right angle. This also means that the distance needed, between the dog and the helicopter is the hypotenuse.
Using pythagoras theorem, we have
120² + 85² = c²
c² = 14400 + 7225
c² = 21625
c = [tex]\sqrt{21625}[/tex]
c = ±147 meters.
Since distance cant be in the negative, our answer is 147 m
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Help please just this I will mark someone's answer the brainliest if they answer correctly.
3. A library charges a late fee of $3.50 plus $0.15 per day that a book is returned late. B. Make an equation to find if the total fee if a book is 10,15,20, or 25 days late. Then graph the ordered pairs.
Answer:
a. f = 3.50 + 0.15d
b. please see the analysis
Explanation and graph given in the picture
I hope it helps.
Which equation can be solved to find x, the measure of BD in the diagram
below?
C
53
AB
D
E
2330
O A. *- 53 = 233
B. }(233 + x) = 53
C. (233 - x) = 53
D. x+ 53 = 233
=
The value of x is equal to 127 degrees.
Data;
Outer angle = 233Inner angle = 53unknown angle = xAngle tangent to a circleTo find the angle x which is related to angle 233 to form the outer angle 53, the equation
[tex]\frac{1}{2} (233 - x) = 53[/tex]
We can proceed to solve for x by simplifying the equation which will give us
[tex]\frac{1}{2}(233-x) = 53\\2 * 53 = 233 - x\\106 = 233 - x\\x = 233 - 106\\x = 127^0[/tex]
The value of x is equal to 127 degrees.
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Answer:
Step-by-step explanation:
just took the quiz
does anyone know how to solve this
Answer:
46
240
Step-by-step explanation:
Substitute the given values for the variables, and evaluate the expressions.
1.
n = -5; m = 4
2n² - m = 2(-5)² - 4 = 2(25) - 4 = 50 - 4 = 46
2.
H = 60; Q = 40; V = 10
HQV/100 = (60)(40)(10)/100 = 6(4)(10) = 240
Answer:
46
240
Step-by-step explanation:
1) Put n = -5 and m = 4 into the equation, you'll then have;
2(-5)²-4
2(25)-4
50-4=46
2) Put H=60, Q=40 and V=10 into the equation, then you'll have that;
(60×40×10)/100
24000/100
=240
Help with Math will give Brainless to people who get it write the test shows me!!!
Answer:
(2,1)
Step-by-step explanation:
Divide by 3
(6,3)/3 = (2,1)
When the function f(x) = 5•2x is evaluated for x = 3, the output is:
30.
20.
10.
None of the choices are correct.
M*(x+y)+4y/(x^2-xy-y^2)=(x+2y)/(x^2-xy-Y^2),find the value of M
Answer: M = [tex]\frac{x-2y}{x+y}[/tex]
Step-by-step explanation:
[tex]\frac{M(x+y)+4y}{x^{2}-xy-y^{2} } =\frac{(x+2y)}{x^{2} -xy-y^{2} }[/tex]
M (x + y) + 4y = x + 2y (Multiply [tex]x^{2} - xy-y^{2}[/tex] in both sides)
M (x + y) = x + 2y - 4y
M (x + y) = x - 2y (Divide (x+y) from both sides)
M = [tex]\frac{x-2y}{x+y}[/tex]
You are currently paying rent every year for your restaurant. You still have a contract that will last 2 more years. Starting today, your rent will increase every year by 3.5%.
Think of the amount of rent you are paying right now. Then, determine how much rent you will be paying after 2 years.
Imagine that after two years you will have the opportunity to change rent contracts.
Show a situation in which it would be beneficial and one situation in which it would not be beneficial to change contracts.
The amount to be paid in rent after 2 years if the rent as of now is $3,000 will be; $3,213.675
The question allows that we choose the amount being paid as rent as of now.
Let the rent paid as of now be; $3,000
In essence; after the first year; the amount increases by 3.5% to become;
1.035 × $3,000= $3,105.After the second year; we have;
1.035 × $3,105= $3,213.675Ultimately; the amount to be paid after 2 years will be; $3,213.675.
When given the opportunity to change rent contracts;
A situation that will be beneficial would be a 3.5% reduction in rent per year A situation that will not be beneficial would be a 7% increase in rent per year.Read more;
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How to find zeros of cubic polynomial.
Step-by-step explanation:
1. First divide by the leading term, making the polynomial monic.
2. Then, given x
2 + a1x + a0, substitute x = y − a1 to obtain an equation without the linear term.
(This is the “depressed” equation.)
3. Solve then for y as a square root. (Remember to use both signs of the square root.)
4. Once this is done, recover x using the fact that x = y − a1
2x - 3y = -24 solve for y
x + 6y = 18 solve for x when y= 2
I need the answer
01.
2x-3y=-24
-3y=-2x-24
3y=2x+24
y=(2x+24)/3
02.
x+(6*2)=18
x=18-12
x=6
Answer: y = 2/ 3 x+8, and x = 6
Step-by-step explanation: 2x−3y+−2x=−24+−2x −3y /−3 = −2x−24 /−3 y = 2/ 3 x+8 x+(6)(2) = 18 x+12+(-12) = 18+-12 x = 6
Haley has 48 colored pencils and 3 cups (A, B, C). Cup A holds one more colored pencil than cup C. Cup B holds 2 more colored pencils than cup C. How many pencils does cup B contain?
Answer:
17 pencils
Step-by-step explanation:
Assume that cup C holds x pencils. In this case, cup A holds x + 1 pencils, and cup B holds x + 2 pencils. We know that all of the cups together hold 48 pencils. If we add what we got together, we would get x + x + 1 + x + 2 = 48. 2x + 1 + x + 2 = 48. 2x + x + 1 + 2 = 48. 3x + 1 + 2 = 48. 3x + 3 = 48. 3x = 48 - 3. 3x = 45. x = 45 / 3. x = 15. Now, we know that cup C holds 15 pencils, and from here, we can find the number of pencils in cup B by adding 2 to 15 and getting 17, and that would be your answer.
Tell me if I'm wrong :)
Answer:
12
Step-by-step explanation:
Jeff decides to ride his bike in the summer, too. At the end of the summer, he has rode his bike for 1,890 minutes. If he rode the same amount every day for 9 weeks, how many minutes did he ride per day? He rode minutes per day.
Answer:
30 minutes
Step-by-step explanation:
9 weeks = 1890 minutes
=> 1 week = 210 minutes
=> 7 days = 210 minutes
=> 1 day = 30 minutes.
Therefore, he rode 30 minutes per day in the summer.
Answer:
30 min / dayStep-by-step explanation:
Riding total = 1890 min
Number of days:
9*7 = 63Daily riding:
1890/63 = 30 minWork out the midpoint A of the line segment B, where A(3,10) and B(5.8).
Answer:
Midpoint of (3,10) & (5,8) is (4,9)
There are 18 girls and 12 boys on the swim team. What FRACTION of the team is made up of boys?
Answer:
12/30
Step-by-step explanation:
Hope this helps man. Have a GREAT day.
Sincerly, lipor
A 12/30 fraction of the team is made up of boys.
What is a fraction?A fraction is defined as part of a whole.
The total number of team members is
12+18=30
The number of boys on the team is 12.
Hence, the fraction of boys o the team is 12/30.
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A painter checks a canvas to be sure it is rectangular. One of the canvas’ diagonals measures 48 inches. If the canvas is a rectangle, what is the measure, in inches, of the other diagonal?
A.)24
B.)12
C.)96
D.)48
Answer:
D)48
Step-by-step explanation:
What is 33 1/3% of what number is 12
Answer:
36
Step-by-step explanation:
33.33333...% is 1/3 of a number
1/3 of 36 is 12
12(3)=36
Are the ratios 8:10 and 4:5 equivalent?
Answer:
yes the ratio are equivalent
Answer:
yes they are egivalent
Step-by-step explanation:
Please help! Thankss!! :)
Answer:
21
Step-by-step explanation:
If b = -4, then -4(-4) is 16, since 2 negatives is a positive when multiplying or dividing. Then add 16 and 5, since 5 is c. You'll get 21
During a vote, 2,400 voters were divided into 4 large groups and each large group was divided into 6 small groups. How many voters were there in each small group?
what are possible ratios for 16 to 32
Answer:
1:3
Step-by-step explanation:
To simplify the ratio 16:32, we find the greatest common divisor of 16 and 32, and then we divide 16 and 32 by the greatest common divisor.
The greatest common divisor that you can use to simplify 16:32 is 16. Which means the answer to ratio 16:32 simplified is: 1:2
Hope it helps
