Answers
Let the ceilings be a & b
and the distance from one corner of the ceiling to the opposite be c
then using Pythagoras theorem
[tex]c = \sqrt{a {}^{2} + b {}^{2} } \\ c = \sqrt{16 {}^{2} + 12 {}^{2} } \\ c = \sqrt{256 + 144 } \\ c = \sqrt{400} \\ c = 20[/tex]
hence ,c .°. the distance from one corner of the ceiling to the opposite is 20
Related Questions
Solve. 34x+78=414 Enter your answer as a mixed number in simplest form in the box. x =
Answers
Answer:
The answer in mixed fraction form is [tex]9\frac{15}{17}[/tex]
Step-by-step explanation:
34x + 78 = 414=> 34x = 414 - 78=> 34x = 336=> x = 336/34=> [tex]9\frac{30}{34} = 9\frac{15}{17}[/tex]Conclusion:
Therefore, the answer in mixed fraction form is [tex]9\frac{15}{17}[/tex]
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Answer: X= 9 over 2
I think this is the right answer
sorry if it is not
Tanaka says "When you multiply an odd number and an even number together, you will
always get an odd number'.
Show that Tanaka is wrong.
Answers
Answer: Tanaka is wrong becausee...
2 x 3 = 6
Since Tanaka said "When you multiply an odd number and an even number together, you will always get an odd number." we do not need to show more examples.
Hope this helps :)
(1,-3) (-3,1) find the slope intercept form
Answers
Firstly, we need to find the slope. We can use the formula y2-y1/x2-x1. 1-(-3)/-3-1 is 4/-4. The slope is -1.
Next, point-slope form is y-y1=m(x-x1). I will use the coordinate (1, -3) for y1 and x1. M is the slope. We do not need to worry about y and x. y-(-3)=-1(x-1). This gives us y+3=-x+1. Once we subtract 3, to isolate y, we get y=-x-2.
The answer is y=-x-2
Answer:
[tex]y=-x-2[/tex]
Step-by-step explanation:
1) First, find the slope between these 2 points.
(1, -3)
(-3, 1)
The change between the y-values is 4.
[tex]1--3=1+3=4[/tex]
The change between the x-values is -4.
[tex]-3-1=-4[/tex]
Slope is rise over run, and this is a rise of 4 and a run of -4, so the slope is -1.
[tex]\frac{4}{-4}=1[/tex]
If you just wanted to use the slope formula, you could do that too:
[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{1--3}{-3-1}\\\\m=\frac{4}{-4}\\\\m=-1[/tex]
2) Second, now you can use the slope to calculate the y-intercept.
Pick whichever point you want, and plug it into the equation along with the slope and solve for b.
(1, -3) = (x, y)
[tex]y=mx+b\\-3=(-1)(1)+b\\-3=-1+b\\-2=b\\b=-2[/tex]
The y-intercept is -2.
3) Finally, you can wire the equation in slope-intercept form.
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
Plug in the values we found and you're done:
[tex]y=-x-2[/tex]
Pls help again what’s 2.8446 rounded to the nearest hundreth
Answers
Answer:
2.84
Step-by-step explanation:
Since 4 is below 5, you would not round 2.84 to 2.85
HELP ASAP PLZ
just answer the blanks
Answers
Answer:
i hope this helps!
Step-by-step explanation:
What is the result of 3 divided by three-fifths?
Answers
[tex]\dfrac{3}{\tfrac 35} = 3 \times \dfrac 53 = 5[/tex]
Answer:
5
Step-by-step explanation:
3 -> [tex]\frac{3}{1}[/tex]
Method is "Keep, Change, Flip"
[tex]\frac{3}{1} / \frac{3}{5} =\frac{3}{1} * \frac{5}{3} = \frac{15}{3} = 5[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
solve the following equation
Answers
Answer:
X= -1/3 or 4
Step-by-step explanation:
Answer:
x =-1/3 and x=4
Step-by-step explanation:
solve by factoring:
separate into two equations:
3x+1=0
8-2x=0
(when the products of factors equals zero, at least one factor is zero)
3x=-1
x=-1/3
-2x=-8
x=4
A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marina traced the map onto a coordinate plane to find the exact location of the treasure. X = (StartFraction m Over m n EndFraction) (x 2 minus x 1) x 1 y = (StartFraction m Over m n EndFraction) (y 2 minus y 1) y 1 What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth. (11. 4, 14. 2) (7. 6, 8. 8) (5. 7, 7. 5) (10. 2, 12. 6).
Answers
The location of the treasure on the treasure map is (b) (7.6,8.8)
The ratio is given as:
[tex]m : n = 5 : 9[/tex]
The coordinates of the rock and the tree are:
[tex]Rock =(3,2)[/tex]
[tex]Tree = (16,21)[/tex]
The x and y coordinates of the location of the treasure are:
[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]
So, we have:
[tex](x,y) = (\frac{5 \times 16 + 9 \times 3}{5 + 9},\frac{5 \times 21 + 9 \times 2}{5 + 9})[/tex]
[tex](x,y) = (\frac{107}{14},\frac{123}{14})[/tex]
[tex](x,y) = (7.6,8.8)[/tex]
Hence, the location of the treasure is (b) (7.6,8.8)
Read more about line segment ratios at:
https://brainly.com/question/14382744
4x^2+8x-12 in vertex form
Answers
Answer:
y = 4 (x + 1)² - 16
Step-by-step explanation:
Step 1: Equation at the end of step 1
(2²x²+8x)-12
Step 2:
Step 3: Pulling out like terms
Pull out like factors :
4x² + 8x - 12 = 4 • (x² + 2x - 3)
Trying to factor by splitting the middle term
Factoring x²+ 2x - 3
The first term is, x²
its coefficient is 1 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is 2 .
-3 + 1 = -2
-1 + 3 = 2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and 3
x² - 1x + 3x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-1)
Add up the last 2 terms, pulling out common factors :
3 • (x-1)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-1)
Which is the desired factorization
Final result :
Final result :
4 • (x + 3) • (x - 1)
Now convert to vertex form:
y = 4 (x + 1)² - 16
hlo preparation for exam help with this question?? °_*!
If p/q=q/r then prove that
p3+q3+r3=(1/p3+1/q3+1/r3)p2q2r2
Answers
Hope you could get an idea from here.
Doubt clarification - use comment section.
The equation [tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^2q^2r^2[/tex] has been proved to be true
The equation is given as:
[tex]\frac pq = \frac qr[/tex]
Cross multiply
[tex]pr = q^2[/tex]
Rewrite as:
[tex]q^2 = pr[/tex]
Also, we have:
[tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^2q^2r^2[/tex]
Substitute [tex]q^2 = pr[/tex]
[tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^3r^3[/tex]
Expand
[tex]p^3+q^3+r^3=\frac{1}{p^3} \times p^3r^3 +\frac{1}{q^3} \times p^3r^3 +\frac{1}{r^3} \times p^3r^3[/tex]
Simplify
[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times p^3r^3 + p^3[/tex]
Rewrite as:
[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times (pr)^3 + p^3[/tex]
Substitute [tex]pr = q^2[/tex]
[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times (q^2)^3 + p^3[/tex]
[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times q^6 + p^3[/tex]
Divide q^6 by q^3
[tex]p3+q3+r3=r^3 +q^3 + p^3[/tex]
Rewrite the equation as:
[tex]p3+q3+r3=p^3 +q^3 + r^3[/tex]
Hence, the equation has been proved
Read more about equations at:
https://brainly.com/question/13729904
The bottom of a rectangular swimming pool has a perimeter of 62 meters. Its area is 220 square meters. What are the dimensions of the pool?
_____ meters by _____ meters
Answers
Answer:
13640cubicmeter........
PlZ HELP
fill in the blanks
Answers
Answer:
3*(8-5)=(3*8)-(3*5)
Answer:
I think it would be 3x(8-5)=(3x6)-(3x3)
Step-by-step explanation:
This is because if you answer the left side of the equation, it would be 9:
3x(8-5)
(8-5=3)
then 3x3=9
and on the right side of the equation, if you plug in 6 and 3 + solve the equation you would get 9:
(3x6)-(3x3)
18-9
=9
so all together it would be 9=9 which is true
meaning that the numbers 6, and 3 are the numbers you use to fill in the blanks (this is only one of the possible answers, there are many more!)
Not sure if all calculations are correct, but I hope this helps! :)
1- Which comparison is NOT true?
A
3.976 > 3.97
B
1.025 < 1.25
С
9.145 > 9.14
D
0.613 > 0.631
Answers
Answer:
D
Step-by-step explanation:
Process of Elimination:
A: 3.976 is greater than 3.97
B: 1.025 is lesser than 1.25
C: 9.145 is greater than 9.14
All of the options checked are true, leaving the answer only to be D.
i will make you brainliest
Answers
Answer:
The time in Auckland, New Zealand in the 12+ time zone: 21:00
The time in Athens, Greece in the +2 time zone: 22:00
The time in Trinidad in the -4 time zone: 05:00
The time and date in Chicago in the -6 time zone: 02:00 2016-10-19
The time and date Bangkok in the +7 time zone: 11:00 2016-10-20
The time and date in Greenwich: 06:00 2016-10-29
The time and date in Abu Dhabi in the +4 time zone: 30:00 2016-10-30
The time and date in a country in the +12 time zone: Uzbekistan 23:00 2016-11-02
The time and date in a country in the -12 time zone: Brazil 23:00 2016-11-01
The time and date in Honolulu located in the -10 time zone: 01:00 2016-11-02
When the time in Sri Lanka is 09:30 on 2017-05-02, find the time and date in Los Angeles located in the -8 time zone in the USA. 01:30 on 2017-05-02
(These are the answers i calculate i am not sure if they are fully correct)
The slope of a line is (-1/2) and a point on the line is (-2, 3). Find the equation for the line in slope intercept form.
Answers
Answer:
y=-1/2x+2
Step-by-step explanation:
y-y1=m(x-x1)
y-3=-1/2(x-(-2))
y-3=-1/2(x+2)
y=-1/2x-2/2+3
y=-1/2x-1+3
y=-1/2x+2
The top row contains solutions for the value of c. The bottom row contains equations that must be solved to find c. Drag each solution into the box with the matching equation.
7
20
12
9
c is 4 times as many as 5.
27 is c times as many as 3.
6 times as many as c is 72.
8 more than c is 15.
which one is it??
Answers
2. 27 is c times as many as 3 = 9
3. 6 times as many as c is 72 = 12
4. 8 more than c is 15 = 7
Pls give me the brainliest if these are right. Hope this helps
can someone help with this
Answers
Answer:
B and C
Step-by-step explanation:
4.Cost of 10 book is ₹800.What is the cost of 50 such books
Answers
Answer:
₹4000
Step-by-step explanation:
₹800/10 books
₹80/1 book
(₹80/1 book)*(50) = ₹4000
An athlete trains by swimming 3/5 miles in 1 day.
Which expression shows how many miles he would swim in 7 days?
Answers
Answer:
3/5 x 7
Step-by-step explanation:
The athlete swims 3/5 miles per day, and in 7 days, he swims the amount of 3/5 per the swimming session he does, so it will be 3/5x7.
(4-13i)-(3+6i) how do you solve this I’ve been stuck
Answers
Answer:
1-19i
Step-by-step explanation:
Which equation shows the correct factors for the quadratic equation 24x2 - 15 = 54x?
3x (8x + 5) = 54x
3 (2x + 5) (4x - 1) = 0
3 (8x2 - 5) = 54x
3(2x - 5) (4x + 1) = 0
3(2x - 5)(4x - 3) = 0
Answers
Answer:24x^2_54x_15=0
(12X +3 ) ( 2X _5 ) . = O
12x +3 =0
X= - 1/4
or
2x _ 5=0
X = 5/ 2
I need help please and explain your answer it’s number 4
Answers
Answer:
29
Step-by-step explanation:
Well "value" of 3x^2 - 7x + 9 when x = 4 is just x plugged into the expression
3 * 4^2 - 7 * 4 + 9
3 * 16 - 28 + 9
= 29
Write an algebraic equation to represent the situation.
A bacon cheeseburger cost $1 more than a regular cheeseburger. If 5 cheese burgers cost the same as 3 bacon cheeseburgers, how much does a regular cheeseburger cost.
I don't know if I'm just tired or what but I do not understand how I can make an equation out of this.
Answers
3(x+1) = regular cheese burger
6) Error Analysis. Analyze the work below, describe the error then
determine the correct value for x.
26 = 4x - 2
24 = 4x
6 = x
Answers
Answer:
The error is that 2 should have been added to both sides, 7 = x
Step-by-step explanation:
m(arc DE)=105 and M(arc BC)=70 Find M
Answers
Answer:
a. 70
Step-by-step explanation:
What is 5 rounded to the nearest whole number, explain why
Answers
Answer:
The answer is 10
Step-by-step explanation:
It is
Name three equal ratios from the graph
Answers
250:10
125:5
100:4
Step-by-step explanation:
ratio of y to x
HELP ME PLZZZZ
its really hard and i cant solve it i have two more quetions to answer and thats it so plz help
Answers
Answer:
(-1, -6)
Step-by-step explanation:
please help me with this. really need this
Answers
Answer:
(a) 1
Step-by-step explanation:
When you draw a horizontal line on the graph at y=1, you see it intersects the curve in two places. That is, there will be 2 real solutions to f(x) = 1, not 4 solutions.
If you want 4 solutions, the value of c in f(x)=c cannot be 1.
Ms. Rowlen went Black Friday shopping and she bought a flat screen TV that originally costs $259.00. She used her super savings coupon of 45%, how much did Ms. Rowlen pay for the tv?
Answers
Answer:
142.55
Step-by-step explanation: