Answer:
6 cm
Step-by-step explanation:
A = l · w Substitute what you know A = 42; l = 7
42 = 7 ·w Solve
42/7 = w
6 = w cm · cm = cm²
[tex]The \: value \: of \: \sqrt{6 + \sqrt{6 + \sqrt{6} + .......... \: to \: \infin } } \: is \: \underline{ \: \: \: \: \: \: \: \: \: \: \: .}[/tex]
CORRECT EXPLANATION WILL BE MARK AS BRAINLIEST.
[tex]\large\underline{\sf{Solution-}}[/tex]
Let us assume that:
[tex] \sf \longmapsto x = \sqrt{6 + \sqrt{6 + \sqrt{6 + ... \infty } } } [/tex]
We can also write it as:
[tex] \sf \longmapsto x = \sqrt{6 + x } [/tex]
Squaring both sides, we get:
[tex] \sf \longmapsto {x}^{2} =6 + x[/tex]
[tex] \sf \longmapsto {x}^{2} - x - 6 =0[/tex]
By splitting the middle term:
[tex] \sf \longmapsto {x}^{2} - 3x + 2x - 6 =0[/tex]
[tex] \sf \longmapsto x(x - 3) + 2(x - 3 ) =0[/tex]
[tex] \sf \longmapsto (x+ 2)(x - 3 ) =0[/tex]
Therefore:
[tex] \longmapsto\begin{cases} \sf (x+ 2) =0 \\ \sf (x - 3) = 0 \end{cases}[/tex]
[tex] \sf \longmapsto x = - 2,3[/tex]
But x cannot be negative.
[tex] \sf \longmapsto x = 3[/tex]
Therefore, the value of the expression is 3.
[tex]\large\underline{\sf{Verification-}}[/tex]
Given:
[tex]\sf\longmapsto x=3[/tex]
We can also write it as:
[tex]\sf\longmapsto x = \sqrt{9}[/tex]
[tex]\sf\longmapsto x = \sqrt{6+3}[/tex]
[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{9}}[/tex]
[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}[/tex]
[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}[/tex]
[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}[/tex]
This pattern will continue.
[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}[/tex]
An engineer is estimating the weight of a steel beam. The actual weight of the beam is 152 pounds. The engineer's estimate is 150 pounds.
Find the absolute error and the percent error of the engineer's estimate. If necessary, round your answers to the nearest tenth.
Answer/Step-by-step explanation:
To find the absolute difference, we simply have to see by how much pounds the estimation was off.
The real measure was 152 pounds, the estimated weight was 150.
D = 152- 150 = 2 pounds.
For the percent of error, we divide the absolute difference (52) by the real value () and we'll get the % of error. So,
%D = 52 / 152 = 0.0034, so 0.34%
The area of a square is 25/36 in ^2. What is the length of its side
Answer:
5/6 inches
Step-by-step explanation:
An area of a square is basically length * width but the length and width are the same length so we can simply do the square root of (25/36)
5/6 is your final answer
please please help asap!! 19 points
Answer:
The definition of "perfect square" is: "A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer." For example, 16 would be a perfect square because [tex]4^{2}[/tex] would equal 16. But 12 is not a perfect square because no number could multiply by itself to get 12. I hope this helps you! :)
It takes 5 minutes for 7 people to drink 25 pints of water.At this rate,how long would it take 15 people to drink 160 pints of water
Answer:
14.9 min
Step-by-step explanation:
r=rate
r25=5*7
r25=35
r=35/25
r=1.4
substitution
r160=t*15
t=time
r=1.4
1.4*160=t*15
224=t*15/15
224/15=t
14.9 min
What is the solution to the equation 5x-7 = V3x+5?
Predict the missing component of each reaction.
MgO + ? → Mg(OH)2
2MgO → ?
A. 2Mg + H2O
B. 2Mg + O2
C. MgOH + O2
D. MgO + O2
Answer:
In the first equation, it's H20 but the second is B
2Mg + 2O2
here are the answers for both questions on this slide as of edge 2021, the 2nd is the one asked here.
1. 2KClO3 → 2KCl + ?
2Na + Cl2 → ?
A.) 2NaCl
2. MgO + ? → Mg(OH)2
2MgO → ?
B.) 2Mg + O2
HELPPP!!!
A circular kitchen table has a diameter of 80 inches. How much fabric is needed to cover the table top? Use 3.14 for pi.
25.5
Step-by-step explanation:
The way to do this is:
80 * 3.14 equals to roughly 25.5
NEED HELP FAST
y=−1/3x+1
[tex]\\ \sf\longmapsto y=\dfrac{-1}{3}x+1[/tex]
Here let's compare with slope intercept form
[tex]\\ \sf\longmapsto y=mx+b[/tex]
We get
Slope=m=-1/3y-intercept=b=1y = mx + k
gradien = m
y=−1/3x+1
gradien = -1/3
btw, di indo jg ada gradien :)
A number written in word is in:
Exponential form
Expanded form
Standard form
Answer:
standerd form
Step-by-step explanation:
because it have to be in standerd form
Quis
Jika
A= 2
B= 3
D=2
maka
A x B ÷C
Answer:
A= 2
B= 3
D=2
maka
A x B ÷C
2 x 3 ÷ 2
=6 ÷ 2
=3
Answer:
A= 2
B= 3
D=2
maka
A x B ÷C
2 x 3 ÷ 2
=6 ÷ 2
=3
Here’s another one.. so sorry if this confused you..
(Also I got this question wrong..)
Answer:
hmmm did you try 14?
Using diagonals from a common vertex, how many triangles could be formed from a hexagon?
The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.
c. What is the Z-score for a giraffe that is 18.5 foot tall?
d. What is the probability that a randomly selected giraffe will be shorter than 17.5 feet tall?
e. What is the probability that a randomly selected giraffe will be between 16.7 and 17.2 feet tall?
f. The 70th percentile for the height of giraffes is ___ ft.
Answer:
Median =17
Step-by-step explanation:
Given that the mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. X is a random variable.
a) X is N(17, 0.9)
b) Median giraffe height = 17 ft since in normal distribution mean = median
c) When x = 18.5, Z = 18.5-17/0.9 = Z= 0.1667
d) P( x < 18) = P( Z < 56)
= 0. 2877
e) P(16.9 < x < 17.9) = P(-0.11 < z < 1) = .0.438 + 0.3413
= 0.3851
f) 75th percentile for z is 0.675
x = 17.9 + 0.9 (0.675)
= 18.5075
The price p (in dollars) and the quantity x sold for a certain products satisfy the demand equation p= -9x+900
Please helpp
Answer:
p=-9x+900
-9 -9
= -100
divide 900/9
or the answer is 100
Find the unknown value in each proportion. Round to the nearest tenth if needed.
[tex] \frac{4}{5} [/tex]
[tex] \frac{4}{3} [/tex]
[tex] \frac{3}{7} [/tex]
[tex] \frac{13}{15} [/tex]
Answer:
4/5=16/20
4/3=4/3 or 1 1/3
3/7=0.42857
13/15=0.86666
Step-by-step explanation:
i dont know
if i did that right but your welcome
Jenna works in an ice cream shop. When she starts her shift the tub of chocolate ice cream is 2/3 full. When she finishes her shift 6 1/2 h later, there is only 1/6 of the tub left. What was the average hourly change in tub fullness?
0.10
so sorry i couldn't make it a fraction :(
Given the function y= {3x+1 if x≥0,x−2 if x<0 }. Find its values for x=−1; 0; 1; 2. Answer: If x = −1, then y = . If x = 0, then y = . If x = 1, then y = . If x = 2, then y = .
Answer:
If x=-1 then y= -3
If x=0 then y=1
If x=1 then y= 4
If x=2 then y= 7
write the equation for a line that passes through the points (5,5) and (7,-5)
Answer:
y = - 5x + 30
Three years after a tree was planted it was 9 feet tall. Seven years after it was planted it was 17 feet tall. a What is the yearly growth rate of the tree? b. Determine the height of the tree when it was planted.
Answer:
your answer i think is 2/3 sorry if i'm wrong
Step-by-step explanation:
The following table shows the cost of 444 party favor packs. For example, the Slinky costs \$9$9dollar sign, 9 for a pack of 555.
Toy pack Cost (dollars) Quantity
Slinky 999 555
Wind-up robot 161616 888
Yo-yo 151515 666
Emoji beach ball 333 222
Answer:
its the yoyo
Step-by-step explanation:
it was right on the khawn acdemy thing.
George found a job posting on an Internet website. The job pays a yearly salary of $60K. What is the monthly salary based on this annual salary?
plzzzzzzzzzzzzzzzzz help me
Answer:
5k a month
Step-by-step explanation:
Hello wonderful people! I am having trouble with the one question and I was wondering if someone could help me? I promise brainiest for the correct answer. Thanks so much for your time!
Slope -3/4 and passes through the point (-3, -8). What is the point slope form
Point-slope form is: y - y1 = m ( x - x1 )
You plug in your slope for m and the x and y values from that point for x1 and y1.
y - (-8) = -3/4 ( x - (-3) )
Be sure to clean up the "minus a negative" to get
y + 8 = -3/4 ( x + 3 )
help me with this please
Answer: 65
Step-by-step explanation:
Find the upper quartile for the data. {9, 6, 13, 8, 8, 10, 9.5, 8, 7.5, 8.5}
A. 9
B. 9.5
C. 10
D. 8.5
Answer:
the answer is 9.5 (B)
Step-by-step explanation:
Prove that:
\cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1
Please solve this problem because tomorrow is my...
Explanation:
On taking LHS
Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]
We know that
π = 180°
2π = 2×180° = 360°
3π/2 = (3×180°)/2 = 540°/2 = 270°
Now
LHS becomes
Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]
We know that
Cos (270°+θ) = Sin θ
Cos (360°+θ) = Cos θ
Cot (270°-θ) = Tan θ
Cot (360°+θ) = Cot θ
→ Sin θ Cos θ [Tan θ + Cot θ]
→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]
→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]
→ Sin θ Cos θ [1/(Sin θ Cos θ)]
Since Sin²θ+Cos²θ = 1
→ (Sin θ Cos θ)/(Sin θ Cos θ)
→ 1
→ RHS
→ LHS = RHS
Hence, Proved.
Here are the formulae that I have used:
→ π = 180°
→ Cos (270°+θ) = Sin θ
→ Cos (360°+θ) = Cos θ
→ Cot (270°-θ) = Tan θ
→ Cot (360°+θ) = Cot θ
Here are the Trigonometric Identities that I have used:
→ Sin²θ+Cos²θ = 1
Hope this helps!!
what is the recurring decimal of 0.68
Answer:
0.68 repeating as a fraction
0.68 repeating as a fraction
so i am struggling e
Answer:
17
Step-by-step explanation:
[tex]perimeter = 2(length + breadth) \\ breadth = (perimeter \div 2) - length[/tex]
[tex]72 \div 2 = 36 \\ 36 - 19 = 17[/tex]
Answer:
y is 17 mm
Step-by-step explanation:
perimeter formula is p= 2l +2w
19 is width
19+19 = 38
72-38=34
34/2= 17
17 is length
I hope it is right:)
If the probability for an event is 1/6, what would that be as a percent rounded to the nearest tenth?
Answer:
0.070
Step-by-step explanation:
i think
