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:
1. Square both sides of the equation.
2. Expand the left side. (3 − k)(3 − k) = 3k + 1
3. Multiply 9 − 6k + k2 = 3k + 1
4. Write the quadratic equation in standard form. k2 − 9k + 8 = 0
5. Factor the quadratic equation. (k − 8)(k − 1) = 0
6. Use the zero product property.
The solutions to the quadratic equation are
.
The true solution(s) to the radical equation
Answers
The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8
The given equation is:
[tex]3-k=\sqrt{3k+1}[/tex]
Square both sides of the equation
[tex](3-k)^2=3k+1[/tex]
Expand the left side of the equation above
[tex](3-k)^2=3k+1\\\\(3-k)(3-k)=3k+1\\\\3^2-3k-3k+k^2=3k+1\\\\9-6k+k^2=3k+1[/tex]
Write the quadratic equation in standard form
[tex]k^2-6k-3k+9-1=0\\\\k^2-9k+8=0\\\\[/tex]
Factor the quadratic equation
[tex](k-8)(k-1)=0[/tex]
Use the zero product property
k - 8 = 0
k = 8
k - 1 = 0
k = 1
The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8
Learn more here: https://brainly.com/question/25840704
answer
first one: 8 and 1
second one: is 1
Step-by-step explanation:
slay
Find the EXACT distance between the two points.
(4,7) and (−4,9)
Answers
ANSWER: [tex]y=-\frac{3}{4} x +6 <=>3x=24-4y[/tex]
Ok done. Thank to me :>
the sum of two opposite angles of a parallelogram is 140 degree . find all the angles ofa parallelogram?
Answers
Answer:
since opp. angles of a parallelogram is equal.
therefore,
let the angle be x
thus,
x+x=140
2x=140
x=70°
co interior angles are supplimentary,
thus,
x+y=180
y=180-70
y=110°
opp. angles are equal thus,
fourth angle =110°
1st angle=70
2nd angle=70
3rd angle =110°
Step-by-step explanation:
how would i plot this on a graph?
Answers
Answer:
(1, 4)
Step-by-step explanation:
im assuming that the point is h(1) = 4
this point is basically just h(x) = y
1 is your x
4 is your y
you plot it at the point (1, 4)
Write an inequality that represents the graph.
Answers
espaneool
Step-by-step explanation:
A line passes through (9,2) and (12,-4). Write the equation of the line in standard form.
A. 2x + y = 20
B. 2x - y = 5
C. 2x - y = 16
D. 2x + y = 16
Answers
For the 1st equation,
2x + y = 20Putting x = 9, y = 2or, 2 (9) + 2 = 20or, 18 + 2 = 20or, LHS = RHSNow, putting x = 12, y = -4 in the above equation, we have2(12) + (-4) = 20or, 24 - 4 = 20or, LHS = RHS.So we can see that the first equation is the equation of the line.This is given in the graph in the picture.Like this way, if we check with other equations, we see that they are not the required equation of the line.Answer:
A. 2x + y = 20
Hope you could get an idea from here.
Doubt clarification - use comment section.
2y(-2y - 8)
Expand & simplify.
show ur steps
Answers
Answer:
-4y²- 16y
Step-by-step explanation:
2y(-2y - 8)
2y (-2y) + 2y (-8) Distributive
-4y² - 16y Multiply (+)(-) = - and (y)(y) = y²
Determine the period of the function y = -3cos(pi/5)x.
a. 3
b. 8
c. -3
d. 10
Answers
Answer:
Step-by-step explanation:
B
Answer:
10
Step-by-step explanation:
BRAINLYEST PLUS 5 POINTS
PLEASE DO STEP BY STEP!:)
Evaluate 12x-3(3x-5)+24 when x = 2
Answers
Answer:
Step-by-step explanation: All we are doing here is inserting 2 in place of all the x variables. So that is written as 12(2)-3(3(2)-5)+24. Next, we follow the order of operations to solve
1) Multiply 3 by 2 and subtract by 5 inside the parenthesis = 12(2)-3-1+24
2) Multiply 12 by = 24-3+1+24
3) subtract 3 from 24 = 21+24
4) Add the final two terms = 45
MARK BRAINLIEST
=24-3((3)(2)-5)+24
=24-3(6-5)+24
=24-(3)(1)+24
=24-3+24
=21+24
=45
Sorry the parentheses got to be a lot LMMMMAAAAOOO anyways please mark as brainliest
Matilda earns 48$ in 4 hours, How many hours does it take her to earn 288$?
Answers
Answer:
24
Step-by-step explanation:
If Matilda earns $48 in 4 hours, then she must earn 48/4 (12) dollars per hour. We know she earns $12 per hour, and that she made $288, so we divide the total amount earned (288) by her hourly wage ($12) to find she worked 288/12 or 24 hours.
Matilda will earn $288 in 24 hours.
What are word problems?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given is that Matilda earns $48 in 4 hours.
Let us assume that it will take her {x} hours to earn $288.
Then, we can write -
there is earning of $48 in 4 hours.
so, there will be earning of $1 ins (4/48) or (1/12) hours.
hence, she will earn $288 in (1/12 x 288) or 24 hours.
Therefore, Matilda will earn $288 in 24 hours.
To solve more questions on equation modelling, visit the link below -
brainly.com/question/29299318
#SPJ2
An advantage of using graphics is the ability to
A) avoid data.
B) limit communication of information.
C) present information in a brief format.
D) There are no advantages to graphics.
Answers
Answer:
C
Step-by-step explanation:
Answer: C
Step-by-step explanation:
An advantage of using graphics is to present information briefly.
What are the solutions to
f (x) = x2 + 5x – 24
Answers
Ok done. Thank to me :>
Grace works as a salesperson at an electronics store and sells phones and phone
accessories, and makes a fixed commission for each phone sale and a different fixed
commission for each accessory sale. Yesterday Grace sold 18 phones and 21
accessories and made a total commission of $204. Today she sold 6 phones and 14
accessories and made a total commission of $82. Determine the price of each phone
and the price of each accessory.
Answers
Our first equation is: 18P + 21A = 204. This is because she told 18 phones and 21 accessories yesterday which got her $204.
Our next equation is: 6P + 14A = 82. This is because she sold 6 phones and 14 accessories today which got her $82.
We can use elimination to solve this system. We can multiply the equation 6P + 14A = 82 by -3. This is so we can avoid sign errors if we multiply by 3. Our new equation is -18P - 42A = -246.
Next, we add that equation to 18P + 21A = 204. This gives us -21A = -42. Once we solve for A, by dividing by -21, we get A = 2.
Next, we can plug A into our equation. I will plug it into the second one. 6P + 14(2) = 82. This gives us 6P + 28 = 82. Once we get 6P alone, we get 6P = 54. Solving for P gives us 9.
One phone costs $9, and an accessory costs $2.
Reduce the radical 176
Answers
Answer: [tex]\boldsymbol{4\sqrt{11}}\\\\[/tex]
Work Shown:
[tex]\sqrt{176}\\\\\sqrt{4*44}\\\\\sqrt{4}*\sqrt{44}\\\\2*\sqrt{4*11}\\\\2*\sqrt{4}*\sqrt{11}\\\\2*2*\sqrt{11}\\\\\boldsymbol{4\sqrt{11}}\\\\[/tex]
The idea is to factor the number such that we pull out perfect square factors. We use the rule that [tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}[/tex] to help break up the root. We also use the idea that [tex]\sqrt{x^2} = x[/tex] when x is nonnegative.
5/9 divide 5 in the simplest form
Answers
[tex] \: \: \: \: \: \: [/tex]
[tex] = \frac{1}{9} \\ \\ or \: \: in \: \: alternate \: form \: \: \\ \\ 0.1, {3}^{ - 2} [/tex]
Step-by-step explanation:
[tex] \frac{5}{9} \div 5[/tex]
dividing the equivalent to multiplying by the reciprocal[tex] \frac{5}{9} \times \frac{1}{5} [/tex]
reduce the numbers with the greatest common factor 5[tex] = \frac{1}{9} \: \: \\ \\ or \: \: in \: \: alternate \: \: form \\ \\ 0.1, {3}^{ - 2} [/tex]
hope it helpsPLEASE HELP ME WILL GIVE BRAINLIEST FOR RIGHT ANSWER
Answers
Answer:
Step-by-step explanation:
I dont really know how to find out the variables but what i assume to do is this:
Find the square root of n and add it to m. The sum of both you divide by p. then when you figure that out, you distribute the x value into the parenthesis. This might be obvious but i looked at this question for 10 minutes and couldnt find the value sorry :(
m = 11
n = 145
p = -4
As you substitute the equation -2x^2 – 11x + 3 = 0 (from factorising x(-2x-11) = -3) into the quadratic formula to find the values of m, n and p.
How many negative integers $m$ satisfy the inequality $\dfrac{3}{m} \le -\dfrac27$?
Answers
Answer:
10
Step-by-step explanation:
The restriction m < 0 means we can multiply by -7m/2 without changing the direction of the inequality symbol
[tex]\dfrac{3}{m}\le-\dfrac27\\\\-\dfrac{21}{2}\le m\qquad m<0}[/tex]
Then the solution is the number of negative integer values between -10.5 and 0. There are 10 negative integer values of m that satisfy the inequality.
May I please receive help?
Answers
Answer:
a=√2, c=4√3
Step-by-step explanation:
Recall that in a 45-45-90 triangle, the side lengths are the same but the hypotenuse is the side length times the square root of 2. Therefore, a=2/√2=√2.
Recall that in a 30-60-90 triangle, the shorter side length is x, the longer side is x√3, and the hypotenuse is 2x. Therefore, c=4√3
If you received 5 one hundred dollar bills, 7 one thousand dollar bills and 7 one dollar bills, how much money did you get? Write the number in standard form.
Answers
Answer:
$7,507
Step-by-step explanation:
Help plz, no links.
Answers
Answer:
1) g = -8 (one solution)
2) b = 0 (infinitely many solutions)
3) w = 5/6 (one solution)
4) c = 0 (infinitely many solutions)
Step-by-step explanation:
1) 1/2g -4 = 2g - 1/2g + 4
1/2g -2g +1/2 g = 8
-g = 8
2) 5.3-5.3 = 2.1b + b - 3.1b
0=0
3) 3/4w+ 3/4w = 10/4 - 5/4
3/2w = 5/4
w = (5/4) / (3/2)
w = 5/6
4) 5.7c + 3.2c - 7.8c - 1.1c = 1.5 - 1.5
0 = 0
I need help please!!! My teacher doesn't teacher and she has asked us to do a problem I don't know how to do it. Can somebody explain or give the answer and show your work so I can understand that way? I will be giving away 20 points and brainliest. Thank You!
A patient is told to avoid caffeine for 8 to 12 hours before a blood test scheduled for 6 a.m. The blood test is reliable for up to 50 milligrams of caffeine in the bloodstream. The patient’s body metabolizes caffeine at a rate of 13% per hour.
a. At 10 p.m., the patient drinks a cup of coffee containing 150 milligrams of caffeine. Will the patient be ready for the blood test by 6 a.m.? Explain.
b. How many milligrams of caffeine could the patient have ingested at 7 p.m. and been ready for the blood test at 6 a.m.?
Answers
Using exponential functions, it is found that:
a) Since the amount of caffeine will be less than 50 mg, the patient will be ready for the blood test by 6 a.m.
b) The patient could have ingest 231 milligrams of caffeine.
A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem:
Caffeine metabolize at a rate of 13% per hour, hence [tex]r = 0.13[/tex].Then:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = A(0)(1 - 0.13)^t[/tex]
[tex]A(t) = A(0)(0.87)^t[/tex]
Item a:
The coffee cup contains 150 milligrams of caffeine, hence [tex]A(0) = 150[/tex].
At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).
[tex]A(t) = A(0)(0.87)^t[/tex]
[tex]A(8) = 150(0.87)^8[/tex]
[tex]A(8) = 49.2[/tex]
Since the amount of caffeine will be less than 50 mg, the patient will be ready for the blood test by 6 a.m.
Item b:
This A(0), considering A(11) = 50, hence:
[tex]50 = A(0)(0.87)^{11}[/tex]
[tex]A(0) = \frac{50}{(0.87)^{11}}[/tex]
[tex]A(0) = 231[/tex]
The patient could have ingest 231 milligrams of caffeine.
A similar problem is given at https://brainly.com/question/25537936
How do I use Pythagorean Theorem to find out if a triangle has a right angle
Answers
In order to use the Pythagorean Theorem to find out if a triangle has a right angle, you have to determine If the squares of the two shorter sides add up to the square of the hypotenuse, then you know the triangle contains a right angle.
Find the difference between 1/6 and 1/2
Answers
Answer:
1/3 OR -1/3
Step-by-step explanation:
1/2 - 1/6 = ?
3/6 - 1/6 = 2/6
2/6 = 1/3
OR
1/6 -1/2 =?
1/6 - 3/6 = -2/6
-2/6 = -1/3
help pls i don't know how to do it
Answers
Answer:
y=5x-8
Step-by-step explanation:
Slope=m=(7-3)/(3-2)
y=5x+b=>2=5*2+c=>c=-8
So y=5x-8
[tex]\text{Given that,}\\\\(x_1,y_1) = (2,2), ~ \text{and}~ (x_2,y_2) = (3,7)\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{7-2}{3-2} = \dfrac 51 = 5\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y-2= 5(x-2)\\\\\implies y -2 = 5x-10\\\\\implies y = 5x -10 +2\\\\\implies y = 5x -8\\\\\\\text{It is now in a form of y = mx +c}[/tex]
26. A(-4, -1), B(-4, 6), C(2,6), D(2, -4)
Answers
Answer:
I NEEEEEEEED TO SEEEE GRAPHHHHHHHHHHHH
Step-by-step explanation:
Find the slope of the line going through the points (-4, 13) and (8,-11).
Answers
Answer:
The Slope is -2
Step-by-step explanation:
The entered points belong to a decreasing, linear function.
Equation: y = -2x + 5.
Answer:
Slope = -2
Step-by-step explanation:
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\left(x_1,\:y_1\right)=\left(-4,\:13\right),\:\left(x_2,\:y_2\right)=\left(8,\:-11\right)\\m=\frac{-11-13}{8-\left(-4\right)}\\\mathrm{Refine}\\m=-2[/tex]
What has a slope of -1/2 and an x intercept of -8
Answers
Answer:
y=(-1/2)(x)-8
Step-by-step explanation:
Since they give the slope and y intercept, you can literally plug it into the equation:
y=mx+b
where m is slope and b is y interecept.
Therefore, we get
y=(-1/2)(x)-8
The range of the set of the values 7, 3, 6, 9 and 5 =
Answers
Answer:
6
Step-by-step explanation:
Since the range of a set is the difference between the highest and the lowest value in that set, the range here is:
9 - 3 = 6
What is the equation of the line that passes through (-6,-2) and had a slope of -1/6
Answers
Answer:
[tex]y = -\frac{1}{6}x - 3[/tex]
Step-by-step explanation:
Slope Intercept Form : [tex]y = mx + b[/tex]
Using our slope, -1/6, input it for m, then plug the point (-6, -2) for x and y
[tex]y = mx+b\\\\-2 = (-1/6)(-6) + b\\\\-2 = 1 + b\\\\b = -3[/tex]
Equation : [tex]y = -\frac{1}{6}x - 3[/tex]
-Chetan K
4.3-3 (4r-3)=0.7 (6r-10)
Answers
4.3-3(4r-3(=0.7(6r-10
We move all terms to the left:
4.3-3(4r-3(-(0.7(6r-10)=0