10. Logan places a mirror on the floor 220 cm from the base of a wall. He holds a flashlight 130 cm above the ground and shines the beam onto the mirror. How far must Logan stand back from the mirror so that the height at which the light shines on the wall is 100 cm greater than the height at which Logan holds the flashlight?
Answers
Answer:
124.35 cm
Step-by-step explanation:
Step by step solution in the attachment
Related Questions
Х
A cylinder has a height of 15 cm and a radius of 8 cm.
What is its volume, to the nearest cubic centimeter?
Be sure to include your calculations in your explanation.
Answers
8*8*3.14 = 200.96 cm^2
Then to find the volume of the cylinder, multiply the area of the circle by the height of the cylinder which in this case is 15 cm:
200.96*15= 3,014.4 cm^3
Which can just be rounded to 3,014 cm^3 (nearest whole number)
please help!!!!!!!!!!
Answers
Answer:
15/4r+1/4x
Step-by-step explanation:
Peter has 22 coins, all dimes and quarters whose total value is $4.30 how many of each coin does he have PLEASE HELP!!!!!
Answers
Answer:
8 dimes and 14 quarters.
Step-by-step explanation:
d and q are the number of dimes and quarters, respectively.
"22 coins, all dimes and quarters"
d+q = 22
d = 22-q
"total value is $4.30"
0.10d + 0.25q = 4.30
substitution
0.10(22-q) + 0.25q = 4.30
2.2 + 0.15q = 4.30
q = 14
d = 22-q = 8
8 dimes and 14 quarters.
Which statement is true using Cavalieri’s principles ?
Answers
Answer:
One of the benefits of Cavalieri's principle is that it allows us to determine the volume of an oblique prism (or oblique cylinder). When dealing with two prisms (or two cylinders), if the base areas are equal and the heights are equal, then the volume is V = Bh regardless of the overall shape.
( i cant see the answers well so estimate to the one that applies)
hi I need answer please. I will mark brainliest who can answer thankyou...
Answers
Answer:
a) (0,0), (-4, 1), (-1,2)b) NoneStep-by-step explanation:
There are two ways of solving similar problems. One- substitute x and y with respective coordinates and verify if the inequalities are correct. Two- graph the lines and see if the points are in the intersection zones.We'll go with the first method. Remember both inequalities should be correct for the same point to accept it as a solution.Given points
(0,0), (-4,1), (-1,2)a) The system of inequalitiesy > x - 1y < -1/2x + 2Point (0,0)
0 > 0 - 1 = -1 correct0 < -1/2(0) + 2 = 2 - correctYesPoint (-4,1)
1 > -4 - 1 = -5 - correct1 < -1/2(-4) + 2 = 4 - correctYesPoint (-1,2)
2 > -1 - 1= -2 - correct2 < -1/2(-1) + 2 = 2.5 - correctYesb) The system of inequalitiesx - 2y ≥ 42x - y ≥ -1Point (0, 0)
0 - 2(0) = 0 ≥ 4 - incorrect2(0) - 0 = 0 ≥ -1 - correctNoPoint (-4, 1)
-4 - 2(1) = - 6 ≥ 4 - incorrect2(-4) - 1 = - 9 ≥ -1 - correctNoPoint (-1,2)
-1 - 2(2) = -5 ≥ 4 - incorrect2(-1) - 2 = - 4 ≥ -1 - correctNo9514 1404 393
Answer:
a. all points are part of the solution set
b. no points are in the solution set
Step-by-step explanation:
Graphs of the two systems of inequalities are attached.
a) The red area on the graph is the solution. The two inequalities can be combined to one compound inequality:
x -1 < y < -1/2x +2
The two boundary lines intersect at x-1 = -1/2x +2 ⇒ x = 2, so there are no points in the solution set with x-values of 2 or greater.
All of the given points are in the solution set.
__
b) The green area of the graph is the solution. Solving each inequality for y gives ...
x -2y ≥ 4 ⇒ 1/2x -2 ≥ y
2x -y ≥ -1 ⇒ 2x +1 ≥ y
The allowed values of y must be less than or equal to the minimum of these limits. The limits have the same value at 1/2x -2 = 2x +1 ⇒ x = -2, so the solution set is the area below and right of that intersection point of the two boundary lines.
None of the given points are in the solution set.
Louise completed the work shown below.
(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9
Determine if Louise’s answer is correct. Explain.
Answers
Answer:
SAMPLE RESPONSE
Step-by-step explanation:
Louise’s answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.
Please help me with #4
Answers
Answer:
Area: 2π square units
Perimeter: 3π units
Step-by-step explanation:
Please let me know if you want me to add an explanation.
Use Pythagorean theorem to find the missing length. (round to tenth if necessary) IS
11.7
8
7
64
Answers
11.7
Formula: a^2 + b^2 = c^2
so substitute the numbers like this:
10^2 + 6^2 = c^2
both 10^2 and 6^2 are perfect squares:
10 × 10= 100 and 6 × 6= 36
100 + 36= c^2
add:
100 + 36 =
136 = c^2
now in order to get rid of the squared, you put it into a radical:
√136 = √c^2
note: whatever you do on one side, you do to the other
it's easier to use the calculator for this so put √136 and you're gonna get 11.66
since it's asking you to round it to the nearest tenth:
11.66 = 11.7
sorry if the explanation is kinda long ✋ i tried explaining it better in the end but i failed
Factor 10w10 – 19w9 +6w8 completely.
10w10 – 19w9 +6w8 =
Answers
Step-by-step explanation:
10w¹⁰ - 19w⁹ + 6w⁸
= w⁸(10w² - 19w + 6)
= w⁸(2w-3)(5w-2)
The value of the equation after factorization is A = w⁸ ( ( 5w - 2 ) ( 2w - 3 ) )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 10w¹⁰ - 19w⁹ + 6w⁸ be equation (1)
Now , on factorizing the equation , we get
Taking the common factor as w⁸ , we get
A = w⁸ ( 10w² - 19w + 6 )
On further simplification , we get
A = w⁸ ( 10w² - 15w - 4w + 6 )
Now , on factorizing the equation , we get
A = w⁸ ( 5w ( 2w - 3 ) - 2 ( 2w - 3 ) )
And , the equation will be
A = w⁸ ( ( 5w - 2 ) ( 2w - 3 ) )
Therefore , the value of A is w⁸ ( ( 5w - 2 ) ( 2w - 3 ) )
Hence , the equation is A = w⁸ ( ( 5w - 2 ) ( 2w - 3 ) )
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
The temperature of a city is recorded at midnight on the last days of four consecutive months
as -11°C, 5°C, - 8 °C and 15°C. Find the difference between the maximum and the
minimum temperature.
Answers
Answer:
26 degrees Celcius
Step-by-step explanation:
The minimum temperature is -11
The maximum temperature is 15
to get from -11 to 0: add 11
to get from 0 to 15: add 15
11+15 = 26
6y(-5-y+4y^2)
Simplify the expression^^
Answers
Answer:
24y^3-6y^2-30
Step-by-step explanation:
6y(-5-y+4y^2)
-30y-6y^2+24y^3
Put in the correct order
24y^3-6y^2-30
A salesclerk gets a 4% commission on the sale of each computer. What is her commission on the sale of a computer that sells for $426.00?
Group of answer choices.
$40.00
$17.04
$170.40
$408.96
Answers
You change the percent to a fraction because it’s equal to .04 of 1whole number
$17.04
A shirt is on sale for 60% of the original price. The original price is $28 more than the sale price. What was the original price?
Answers
Answer:
I believe the answer is $70
Step-by-step explanation:
I used the formula
x= 0.6x + $28
x= the original price
PLEASE HELP!!
If you answer pls explain I need to know if I ever have a problem like dis in the future
What is the volume of a cylinder with a height of 3 feet and a radius of 4 feet?
Use 3.14 for pi.
Enter your answer in the box.
{ } ft ^3
Answers
Answer:
The answer is 150.72
Step-by-step explanation:
[tex]v = \pi {r}^{2} \times h \\ = 3.14 \times 4 \times 4 \times 3 \\ = 150.72 {ft}^{3} [/tex]
Answer:
IS NOT 150.72 SOMETHING DONT LISTEN JUST PUT 113.04 THATS THE ANSWER
Step-by-step explanation:
Write the slope-intercept form of the equation given the slope and one point on the line.
(-5,1); slope = -1
I don't understand this please help and show me how you got your answer so I can understand and do the rest on my own. Thank you
Answers
Answer:
Y= -x-4
(-1,-3)
Step-by-step explanation:
Simply plot the point (-5,1) and draw in a line with a slope of -1. Take the slope of this line and the point it crosses the y-axis and use them to set up slope intercept form.
I WILL GIVE BRAINLIEST IF CORRECT
Answers
Answer:
Vertical compression
Step-by-step explanation:
g(x)=0.25f(x), if you substitute for f(x) you get B
3y+15x=-15
I need the answer ASP!!!
Answers
Answer:
written in y=mx+b form: y=−5x−5
Written in standard form: 3y+15x=−15
Written in slope intercept form: y=−5x−5
Select the equation of the line parallel to the equation 2x+4t=-5 that passes through the point (-4,-8)
Answers
Rodger has 22 coins, all quarters and nickels. The total value of the coins is $2.70. How many of each type of coin does he have?
Answers
Answer:
3 quarters and 19 nickles
Step-by-step explanation:
.
What is the mean absolute deviation of the data set?
{0, 0, 0, 5, 0}
Answers
The mean absolute deviation of the data set is 1.6
Data obtained from the question0, 0, 0, 5, 0
Determination of the mean Data => 0, 0, 0, 5, 0Summation of data = 0 + 0 + 0 + 5 + 0 = 5Number of data = 5Mean =?Mean = Summation of data / Number of data
Mean = 5 / 5
Mean = 1
Determination of the mean absolute deviation Mean = 1Absolute deviation = |1– 0| + |1 – 0| + |1 –0| + |1 – 5| + |1 – 0|Absolute deviation = 1 + 1 + 1 + 4 + 1 = 8Number of data = 5Mean absolute deviation =?Mean absolute deviation = absolute deviation / number of data
Mean absolute deviation = 8/5
Mean absolute deviation = 1.6
Learn more about mean absolute deviation:
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hey! can u number it 1. 2. 3. ect :) ty :)
Answers
Answer:
1. Supplementary
2. Complimentary
3. Supplementary
4. Complementary
5. Supplementary
6. Complimentary
7. Supplementary
8. Neither
9. Complimentary
Step-by-step explanation:
Remember that Supplementary angles result in two angles that sum up to 180 degrees, while Complimentary angles sum up to 90 degrees. The angles that did not sum up to 90 or 180 were neither Supplementary nor complimentary.
I hope I helped :)
Would appreciate Brainliest ;)
What’s the answer to this ???
Answers
Answer:
-5, 3
Step-by-step explanation:
3) 10+3n=20+5n Set up the problem
-3n -3n Subtract 3n from both sides to get n on one side of the equation.
10 =20-2n
-20 -20 Subtract 20 from both sides to isolate n
-10 =2n
/2 /2 Divide both sides by 2 to isolate n
-5 = n
4) 18=2(b+6) Write down problem
18=2b+12 Distribute
-12 -12 Subtract 12 from both sides to isolate b
6=2b
/2/2 Divide both sides by 2 to isolate b
3=b
Answer:
3) 3x+10 = 5x+20
=> 3x-5x= 20-10
=> -2x= 10
=> x = 10/-2
=> x= -5
4) 2(b+6) = 18
=> 2b +12 = 18
=> 2b = 18-12
=> b= 6/2
=> b = 3
solve for x!!!!!!!!!
Answers
Answer:
39+32+x=90
71+x=90
x=90-71
x=31
Ryan has a semicircular garden as shown.
What is the distance around his garden in feet? Use 3.14 for 7.
Enter the correct answer in the box.
ft
Answers
894
yiufkutfluy.clutkyskdtuf,yjhktgnf,juyigcjuhfgyiuchfyjubkg
Answer:
i think it would be around 34 feet
Step-by-step explanation:
the bottom is cut in half and each half is 8 and 1/2 feet so if you add 8 and 1/2 + 8 and 1/2 you would get 17 and then the top is rounded so you would just add 17 and 27 together to get the distance around.
9 a square minus 6 x
Answers
Answer:
3(3a²-2x)
Step-by-step explanation:
that right answer
find the lenghts of the following segement
Answers
plz help me plz help me
Answers
Answer:
In one hour Stephanie earns $1.50 more than Marco
Step-by-step explanation:
w=9h
H is a variable
9×hour= wage
9×15= $135
9×18= $162
157.50-135=$22.50
189-162=$27
27-22.50=4.50
Now cause its per hour we know she earns $4.50 more in 3 hours.
4.50÷3=$1.50
What is the midsegment (7-13)
Answers
Answer
Step-by-step explanation:
(
7
,
13
)
,
(
−
14
,
19
)
Use the midpoint formula to find the midpoint of the line segment.
(
x
1
+
x
2
2
,
y
1
+
y
2
2
)
Substitute in the values for
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
.
(
7
−
14
2
,
13
+
19
2
)
Subtract
14
from
7
.
(
−
7
2
,
13
+
19
2
)
Move the negative in front of the fraction.
(
−
7
2
,
13
+
19
2
)
Add
13
and
19
.
(
−
7
2
,
32
2
)
Divide
32
by
2
.
(
−
7
2
,
16
)
Pls help Ill give brainiest or whatever
Answers
Answer:
2.5 hours
Step-by-step explanation:
it takes him 2.5 hours
Answer:
The time is 2.5 hours.
Step-by-step explanation:
7.5/3=2.5
hope this helps!
PLEASE HELP I WILL BRAINLIST
Answers
Answer:
Well we know that it's a linear because it has a exponent so what we do to answer this question
Step-by-step explanation:
------
- b+ v. b2 -4ac
x= ____________
2a
x2+ 12x +20 =0
a=1
b=12
c=20
_______
X= -12+v 12 2 -4 • 1 • 20
___________________
2•1
Answer:
2; 10
Step-by-step explanation:
12/2 = 6
[tex](x+6)^{2}[/tex] = [tex]x^{2}[/tex] +12x + 36
[tex]x^{2}[/tex] +12x + 20
- [tex]x^{2}[/tex] +12x + 36
0 + 0 - 16
[tex](x+6)^{2}[/tex] - 16 = 0
[tex](x+6)^{2}[/tex] = 16
x + 6 = [tex]\sqrt{16}[/tex]
x = -4 + 6 = 2
x = 4 + 6 = 10