Answer: [tex]15\ ft,6\ ft[/tex]
Step-by-step explanation:
Given
The area of a rectangular wall of a barn is [tex]135\ ft^2[/tex]
Suppose the width of the wall is [tex]x[/tex]
So, the length of the wall is [tex]6+x[/tex]
Area can be written as the product of length and width
[tex]\Rightarrow (6+x)x=135\\\Rightarrow 6x+x^2=135\\\Rightarrow x^2+6x-135=0\\\Rightarrow x=\dfrac{-6\pm \sqrt{6^2-4(1)(-135)}}{2(1)}\\\\\Rightarrow x=\dfrac{-6\pm 24}{2}\\\\\Rightarrow x=-15,9[/tex]
neglecting the negative value, width of the wall is [tex]9\ ft[/tex]
So, the length of the wall is [tex]9+6=15\ ft[/tex]
Please I need help with this!!!!!!!
Answer:
Step-by-step explanation:
1). Step 4:
[tex]x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}[/tex]
[tex]x=\sqrt[3]{5^4}[/tex] [Since, [tex]a^{\frac{1}{3}}=\sqrt[3]{a}[/tex]]
[tex]x=\sqrt[3]{5\times 5\times 5\times 5}[/tex]
Step 5:
[tex]x=\sqrt[3]{(5)^3\times 5}[/tex]
[tex]x=\sqrt[3]{5^3}\times \sqrt[3]{5}[/tex]
2). He simplified the expression by removing exponents from the given expression.
3). Let the radical equation is,
[tex](3x-1)^{\frac{1}{5}}=2[/tex]
Step 1:
[tex](3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}[/tex]
Step 2:
[tex](3x-1)=2^5[/tex]
Step 3:
[tex]3x=32+1[/tex]
Step 4:
[tex]x=11[/tex]
4). By substituting [tex]x=11[/tex] in the original equation.
[tex](3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}[/tex]
[tex]=(2^5)^\frac{1}{5}[/tex]
[tex]=2[/tex]
There is no extraneous solution.
1). Step 4:
x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}x=534=(54)31
x=\sqrt[3]{5^4}x=354 [Since, a^{\frac{1}{3}}=\sqrt[3]{a}a31=3a
x=\sqrt[3]{5\times 5\times 5\times 5}x=35×5×5×5
Step 5:
x=\sqrt[3]{(5)^3\times 5}x=3(5)3×5
x=\sqrt[3]{5^3}\times \sqrt[3]{5}x=353×35
2). He simplified the expression by removing exponents from the given expression.
3). Let the radical equation is,
(3x-1)^{\frac{1}{5}}=2(3x−1)51=2
Step 1:
(3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}(3x−1)51×15=215
Step 2:
(3x-1)=2^5(3x−1)=25
Step 3:
3x=32+13x=32+1
Step 4:
x=11x=11
4). By substituting x=11x=11 in the original equation.
(3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}(3×11−1)51=(32)51
=(2^5)^\frac{1}{5}=(25)51
=2=2
There is no extraneous solution.
If Line segment C B. bisects ∠ACD, what additional information could be used to prove ΔABC ≅ ΔDBC using SAS? Select three options.
m∠ABC = 125° and AB ≅ DB
ΔACD is isosceles with base AD
ΔABD is isosceles with base AD
CD = 52 cm
AB = 29 cm
PLEASE HELP. URGENT!
Determine the equation of a line in slope, y-intercept form, that has a slope of -2/5 and passes through the point (-5,7)
Answer:
y = -2/5x + 5
Step-by-step explanation:
y = -2/5x + b
7 = -2/5(-5) + b
7 = 2 + b
5 = b
A bag contains 5 red marbles, 7 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that both marbles drawn will be blue?
Need help with this ASAP DUE SOON PLEASE AND SHOW WORK
Answer:
The answer is gonna be 20
Step-by-step explanation:
Since its 2 in and 10 in. u have to do 2*10=20
Please give real answers with an explaination. I will follow + I will give the brainliest. No Docs/No Files/No Links, only answer with explaination.
Answer:
134
Step-by-step explanation:
the line where B and X are equal to 180 so you subtract 180 from B witch is 134
50 Pts!!!!!!! What is the straight line distance between the points?
write one problem statement for each subject area that stactistics can solve
Answer:
look in explanation
Step-by-step explanation:
what is the probability of the ball hitting u in dodge ball in pe
what is the ratio of your computer to everyone else's in comp science
how much of your essay did you finish (in a fraction)
how many people are there in psychology class for every notebook?
4. If z/y = x , which of the following statements is true?
[tex]\longrightarrow{\blue{ c. \: y.x = z }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{z}{y} = x[/tex]
[tex]➺ \: z = y.x[/tex]
[tex]➺ \: y.x = z[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Option C : y . x = z is the correct answer.
We have the following expression -
[tex]$\frac{z}{y} = x[/tex]
We have to identify the true statements from the one's mentioned.
If [tex]$\theta = \theta_{o}[/tex](1 + R) , then find R ?We have -
⇒ [tex]$\theta = \theta_{o}[/tex](1 + R)
⇒ R = [tex]\frac{\theta}{\theta_{o} } - 1[/tex]
According to the question, we have -
[tex]$\frac{z}{y} = x[/tex]
We can rewrite it as -
x . y = z
Hence, Option C is the correct answer.
To solve more questions on Rearranging expressions, visit the link below -
https://brainly.com/question/8864600
#SPJ6
What is the answer to this question??
Answer:
12
Step-by-step explanation:
sqrt(144)
What number times itself equals 144
12*12 = 144
-12*-12 =144
Given your choices, your solution is 12
3-4: draw a picture to find the quotient.
5-6: use multiplication to find the quotient.
Select the postulate or theorem that you can use to conclude that the triangles are similar.
SAS Similarity Theorem
ASA Similarity Postulate
AA Similarity Postulate
SSS Similarity Theorem
Answer:
asa similarity postulate
What’s the measure of POQ?
Answer: 70 degrees 35 times 2
David measures a side of a piece of wood. The length is 8 feet and the width is one-half if the length. What is the area, in square feet, of the piece of wood?
A=lw
A: 4
B: 16
C:32
D:108
Answer: The area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].
Step-by-step explanation:
Give: Length = 8 feet
Width = [tex]\frac{1}{2} \times 8[/tex] = 4 feet
As piece of wood is similar to that of a rectangle. Hence, formula to calculate area is as follows.
[tex]Area = length \times width[/tex]
Substitute the values into above formula as follows.
[tex]Area = length \times width\\= 8 feet \times 4 feet\\= 32 ft^{2}[/tex]
Thus, we can conclude that the area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].
Any help please?? I've been stuck on this answer for too long its embarrassing.
Answer:
13/16
Step-by-step explanation:
The pan is divided into 16 bars. His family eats half and then another 5/8. What the question is asking you to do, is to count how many green bars there are left in the pan.
Hope this Helps!
-kiniwih426
Need help on this one also
thanks the choices are
1. 3
2. 8
3. 6
4. 4
Answer:For which situations is it appropriate to use a sample? Select three options.
What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?
What is the average number of rainbows each year in Honolulu?
How many pedestrians would use a walkway built over a busy road?
How many police cars are equipped with computers?
What is the most popular car color in the teachers’ parking lot?
Step-by-step explanation:
Answer:
TV = 4
Step-by-step explanation:
answer choice 4. 4
Which of the following is the correct graph of the compound inequality 4p + 1 >-11 or 6p +3 <39
Answer:
Option C
only there is p > -3
p < 6
Answer:
c
Step-by-step explanation:
A lamp post 15 feet high casts a shadow
that is 12 feet long. At the same time a
stop sign 10 feet high casts a shadow how
many feet long?
Solve the equation 3x - 13y = 2 for y
help me pls...............
Answer:
2.58
Step-by-step explanation:
3 1/3% = 0.03333
2.5 x 1 + 0.33333 gets us 2.5833
Simplify to 2.58
We add the 1 to 0.33333 to get us the original number.
Hope this Helps!
What is the y-intercept (b) of a line with slope of 1/5 and going through the point (5,4) just the y-intercept)
Answer:
y - intercept = 3
Step-by-step explanation:
Equation of a line :
[tex](y - y_1) = m(x - x_1)[/tex]
[tex](x_1, y_1) = (5, 4)[/tex] , [tex]slope, m = \frac{1}{5}[/tex]
Substituting the values in the equation:
[tex](y - 4) = \frac{1}{5}(x - 5)\\\\y = \frac{1}{5} x - 1 + 4\\\\y = \frac{1}{5}x +3[/tex]
find the location of Q
Answer:
6 pretty sure
Step-by-step explanation:
What is m+n?
Please solve! I really need help!!
Answer:
I think 180
Step-by-step explanation:
I think 180 because it looks like M+n are supplimetary angles.
Sorry if this is wrong.
justification of scissors
Answer:
Following are the description of the scissors:
Step-by-step explanation:
The tool is used to cut cloth, paper, and other materials. This refers to two blades placed one on each other and attached inside the middle to enable the thumbs and fingertips to opened and shut through hooks at the bottom of the handles.
It may be used to cut different thin materials, including papers, cartons, sheets, cloth, cloth, or wire. For specific needs a broad range of scissors and shears are available.
5x + 1/2 y^2 What is the value of the expression above when x = 3 and y = 2? You must show all work and calculations to receive full credit.
Answer:
16
Step-by-step explanation:
5x+1/2y^2
5(3)+1/2(2)^2
15+1^2
15+1=16
For which rational expression is –2 an excluded value of x?
a.(x-3)/x^2-4
b.(x-3)/x^2+4
c.(x-4)/x^2-3
d.(x+4)/x^2-3
Answer:
option a is the answer
Step-by-step explanation:
put the value of x in each expression as x = -2
you'll see that in option a the expression becomes
[tex] \frac{x - 3}{ {x}^{2} - 4} = \frac{ - 2 - 3}{ {( - 2)}^{2} - 4} \\ = \frac{ - 5}{4 - 4} \\ = \frac{ - 5}{0} [/tex]
which is not defined. hence -2 is excluded value
Do you know how to do this?
Answer:
[tex]y=4(3)^{x}[/tex]
Step-by-step explanation:
Let the exponential function is,
f(x) = (b)ˣ
If this function has the base (b) = 3, function will be.
f(x) = (3)ˣ
If this function is transformed by a vertical stretch by a factor of 4,
New function will be,
g(x) = 4(3)ˣ
If the function 'g' is reflected across y-axis, new function will be,
h(x) = g(-x)
h(x) = [tex]4(3)^{x}[/tex]
Therefore, equation of the function will be,
[tex]y=4(3)^{x}[/tex]
Find the volume of the pyramid shown.
Answer:
48
Step-by-step explanation:
I did the work, the answer is 48
The answer would be 40, I just guest and got it right Answer: 40 cubic centimeters
Step-by-step explanation:
How do you know what method (SSS, SAS, ASA, AAS) to use when proving triangle congruence?
Provide the definitions of these congruency methods.
Answer:
it depends on the size and angles that are given
SSS means side side side
SAS means side angle side
ASA means angle side angle
AAS means angle angle side
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!! Solve for X for the following
Answer:
1. 51
2. 8
3. √2 or 1.41
Step-by-step explanation:
using pythagorean theorem
Answer:
1) x = 51
2) x = 8
3) x = [tex]\sqrt{2}[/tex] or approximately 1.4142
Step-by-step explanation:
These are simple Pythagorean theorem questions. Remember, the Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex], where a and b represent the legs of the triangles, and c represents the hypotenuse, the side opposite to the 90 degree angle in the triangle. Now simply use the values of a, b, or c, depending on what is given, to solve for the missing side x.
In question 1, you have two legs with sides 45 and 24. Therefore use the Pythagorean theorem where a and b equal 45 and 24 respectively.
[tex]45^2+24^2 = x^22025+576 = x^22601 = x^2x = 51[/tex]
So the answer to question 1 is 51. Repeat this process for the rest of the questions.
In question 2, we are given the hypotenuse and 1 leg, and are missing the other leg. So set your equation up like so, and then solve,
[tex]x^2+6^2=10^2x^2+36=100x^2=64x=8[/tex]
So the answer to question 2 is 8. Now one last time for the 3 and final question. We are given two legs, and are missing the hypotenuse. So set your equation up similar to the first question.
[tex]1^2+1^2=x^21+1=x^22 = x^2x = \sqrt{2}[/tex]
So the answer to question 3 is [tex]\sqrt{2}[/tex], or approximately 1.4142
Hope this helped