Jordon will play a triangle at his school’s music program. As its name suggests, the musical instrument is shaped like a triangle. Jordon has customized the dimensions to produce a unique melody, which is played when the shortest side is hanging down, parallel to the ground. Which side of the musical instrument should be parallel to the ground if its dimensions are as shown in the diagram?
Answers
Answer:
A. AB
Step-by-step explanation:
Given that the musical instrument has a shape of ∆ABC, we can determine the shortest side that would be parallel to the ground by comparison of the 3 angles of the triangle corresponding to each side that is opposite each of them.
What this means is that, the larger angle would have the largest side opposite it. The medium angle will have medium length side opposite it, while the smallest angle will have the smallest side opposite it.
m < A = 59°
m < C = 57°
m < C = 180 - (59+57) (sum of angles in a triangle)
m < C = 64°
The smallest angle out of the three angles is angle C = 57°.
The side opposite it, is side AB.
Side AB is the shortest side of ∆ABC.
Therefore, AB should be parallel to the ground.
The
side
of the musical instrument that should be parallel to the ground if the
dimensions
are as given is side AB, which is option A.
Given that:
Jordon will play a
triangle
in his school’s music program.
When playing, the shortest side
is hanging down,
parallel
to the ground.
From the figure:
m∠A = 59°
m∠C = 57°
By the
angle sum
property,
m∠A + m∠B + m∠C = 180°
59° + m∠B + 57° = 180°
m∠B + 116° = 180°
m∠B = 180° - 116°
= 64°
The
shortest side
will be the side that is opposite to the smallest angle.
So, the smallest side is the side opposite to C.
So, the side is AB.
Hence, the side is AB, which is option A.
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Triangles
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Related Questions
Use special right triangles to solve for the exact value of x. 4 16 9
Answers
Answer:
16
Step-by-step explanation:
I took the test and that's the answer.
Answer:
16
Step-by-step explanation:
CHECK THE ATTACHMENT FOR THE FIQURE OF THE QUESTION;
✓The given figure is a special right triangle and it's a 30° 60° 90° angle.
The length of its side have the ratio of
1: √3: 2 i.e adjacent, opposite, Hypotenuse
✓ it has an Hypotenuse which is double in value to the adjacent.
✓ the adjacent ( shortest sides) = 8 unit,
Then the Hypotenuse= ( 2×8)= 16 units
40 points 1. Write a two-column proof for the following conjecture. You may not need to use all of the rows of the two-column table provided below. You may also add additional rows if needed. Given: Prove: and are supplementary. and are supplementary. Answer: Statement Reason 1. 1. 2. 2. 3. 3. 4. 4. 5. 5. 6. 6. 7. 7.
Answers
Answer:
Step-by-step explanation:
by looking at the given image...
the shape ABCD is a parallelogram.
Required:
is to prove ∡A and ∡B are supplementary
and ∡C and ∡D are supplementary.
so, m∠A + m∠B = 180°
and m∠C + m∠D = 180°
the Statement
1. ABCD is a parallelogram
the reason is..
It is Given!
the Statement
2.m∠A=m∠C and m∠B=m∠D
the reason is..
Definition of parallelogram.
the Statement
3.m∠A+m∠B+m∠C+m∠D=360°
the reason is..
Definition of quadrilateral
the Statement
4. m∠A+m∠B+m∠A+m∠B=360°
the reason is..
By substitution
⇒ 2( m∠A + m∠B ) = 360°
⇒ m∠A + m∠B = 180°
it is also similar m∠C + m∠D = 180°
the Statement
5.∠A and ∠C are supplementary
the reason is..
by the definition of Supplementary ∠ B and ∠D are supplementary
Hope it helps!
Answer:
see below
Step-by-step explanation:
by looking at the given image...
the shape ABCD is a parallelogram.
Required:
is to prove ∡A and ∡B are supplementary
and ∡C and ∡D are supplementary.
so, m∠A + m∠B = 180°
and m∠C + m∠D = 180°
the Statement
1. ABCD is a parallelogram
the reason is..
It is Given!
the Statement
2.m∠A=m∠C and m∠B=m∠D
the reason is..
Definition of parallelogram.
the Statement
3.m∠A+m∠B+m∠C+m∠D=360°
the reason is..
Definition of quadrilateral
the Statement
4. m∠A+m∠B+m∠A+m∠B=360°
the reason is..
By substitution
⇒ 2( m∠A + m∠B ) = 360°
⇒ m∠A + m∠B = 180°
it is also similar m∠C + m∠D = 180°
the Statement
5.∠A and ∠C are supplementary
the reason is..
by the definition of Supplementary ∠ B and ∠D are supplementary
Hope it helps!
Solve the following: (1 point) x + 3y = 9 3x − 3y = −13
Answers
Answer:
Step-by-step explanation:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Point Form:
(
−
1
,
10
3
)
Equation Form:
x
=
−
1
,
y
=
10
3
Tap to view steps...
image of graph
Tap to hide graph...
The quadratic 4x^2+2x-1 can be written in the form a(x+b)^2+c, where a, b, and c are constants. What is a+b+c?
Answers
Answer:
[tex]\large \boxed{\sf \ \ \ a+b+c=3 \ \ \ }[/tex]
Step-by-step explanation:
Hello,
[tex]4x^2+2x-1=4(x^2+\dfrac{2}{4}x)-1=4[(x+\dfrac{1}{4})^2-\dfrac{1}{4^2}]-1[/tex]
As
[tex](x+\dfrac{1}{4})^2=x^2+\dfrac{2}{4}x+\dfrac{1^2}{4^2}=x^2+\dfrac{2}{4}x+\dfrac{1}{4^2} \ \ So \\\\x^2+\dfrac{2}{4}x=(x+\dfrac{1}{4})^2-\dfrac{1}{4^2}[/tex]
Let 's go back to the first equation
[tex]4x^2+2x-1=4[(x+\dfrac{1}{4})^2-\dfrac{1}{4^2}]-1=4(x+\dfrac{1}{4})^2-\dfrac{1}{4}-1\\\\=4(x+\dfrac{1}{4})^2-\dfrac{1+4}{4}=\boxed{4(x+\dfrac{1}{4})^2-\dfrac{5}{4}}[/tex]
a = 4
[tex]b=\dfrac{1}{4}\\\\c=-\dfrac{5}{4}[/tex]
[tex]a+b+c=4+\dfrac{1}{4}-\dfrac{5}{4}=\dfrac{4*4+1-5}{4}=\dfrac{12}{4}=3[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Point A is located at (2, 3) on the coordinate plane. Point A is reflected over the x-axis to form point B and over the y-axis to form point C. Then, point A is reflected over both axes to form point D. The four points become vertices of a quadrilateral. What is the most precise name for the quadrilateral formed, and how do you know?
Answers
Answer:
Rectangle
Step-by-step explanation:
Well if point A is on (2,3) and you reflect it over the x axis point B would be located at (2,-3).
Then over the y axis point C would be located at (-2,-3), then reflecting that over the x axis point D is (-2,3)
Points
__________
A. (2,3)
B. (2,-3)
C. (-2,-3)
D. (-2,3)
__________
So graphing all these points we get a rectangle.
Because it has 4 sides that are 90 degrees and the sides opposite from each other are the same.
The most precise name of the quadrilateral will be rectangle .
Given,
Point A : (2,3) .
Here,
If point A is on (2,3) and you reflect it over the x axis point B would be located at (2,-3).
Then over the y axis point C would be located at (-2,-3), then reflecting that over the x axis point D is (-2,3)
Points
A. (2,3)
B. (2,-3)
C. (-2,-3)
D. (-2,3)
So, graphing all these points we get a rectangle.
Because it has 4 sides that are 90 degrees and the sides opposite from each other are the same.
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specific radioactive substance follows a continuous exponential decay model. It has a half-life of hours. At the start of the experiment, is present.
Answers
Answer:
[tex] y = A_o (b)^t[/tex]
With [tex] A_o = 82.6[/tex] the initial amount and t the time on hours and t the time in hours. since the half life is 12 hours we can find the parameter of decay like this:
[tex] 41.3= 82.6(b)^{12}[/tex]
And solving for b we got:
[tex] \frac{1}{2}= b^{12}[/tex]
And then we have:
[tex] b= (\frac{1}{2})^{\frac{1}{12}}[/tex]
And the model would be given by:
[tex] y(t) = 82.6 (\frac{1}{2})^{\frac{1}{12}}[/tex]
Step-by-step explanation:
Assuming this complete question: "A specific radioactive substance follows a continuous exponential decay model. It has a half-life of 12 hours. At the start of the experiment, 82.6g is present. "
For this case we can create a model like this one:
[tex] y = A_o (b)^t[/tex]
With [tex] A_o = 82.6[/tex] the initial amount and t the time on hours and t the time in hours. since the half life is 12 hours we can find the parameter of decay like this:
[tex] 41.3= 82.6(b)^{12}[/tex]
And solving for b we got:
[tex] \frac{1}{2}= b^{12}[/tex]
And then we have:
[tex] b= (\frac{1}{2})^{\frac{1}{12}}[/tex]
And the model would be given by:
[tex] y(t) = 82.6 (\frac{1}{2})^{\frac{1}{12}}[/tex]
Find the equation of the line.
Answers
Answer:
y = -2x + 5
Step-by-step explanation:
You use the equation y = mx + b, where m is the slope and b is the y-intercept. We see that the line hits the y-axis at 5, so that will be your b. To find the slope, use [tex]\frac{rise}{run}[/tex]. You have to go down 4 and right 2, so your slope will be [tex]-\frac{4}{2}[/tex] which simplifies to -2. Hope this helps!
Answer: y=2/-5x+5
Step-by-step explanation:
What else would need to be congruent to show that ABC = XYZ by SAS?
Answers
To show that triangle ABC is congruent to triangle XYZ by side-angle-side congruency theorem, BC must be equal to YZ (BC ≅ YZ).
What are congruent triangles?Two triangles are said to be similar if they have the same shape and the corresponding sides are congruent to each other. Also, corresponding angles are congruent.
To show that triangle ABC is congruent to triangle XYZ by side-angle-side congruency theorem, BC must be equal to YZ (BC ≅ YZ).
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Complete the solution of the equation. Find the
value of y when x equals 13.
-3x – 2y = -25
Enter the correct answer.
Answers
Answer:
y = -7
Step-by-step explanation:
-3x – 2y = -25
Let x = 13
-3 * 13 -2y = -25
-39 -2y = -25
Add 39 to each side
-39+39 -2y = -25+39
-2y =14
Divide by -2
-2y/-2 = 14/-2
y = -7
Answer:
y = -7
Step-by-step explanation:
-3x - 2y = -25
Plug x as 13.
-3(13) - 2y = -25
-39 - 2y = -25
Add 39 on both sides,
- 2y = 14
Divide both sides by -2.
y = -7
There are 4 pieces of paper, numbered 10 to 13, in a hat. After another numbered piece of paper is added, the probability of picking a number between 10 and 13 inclusive is 4/5. Which of the following numbers could
Answers
Answer: The fifth piece of paper could have any number 9 and less or 14 and greater.
Step-by-step explanation: The list of choices is not given in the question, but it makes sense that the new number would not be a duplicate of any of the numbers 10, 11, 12, 13. Otherwise that would change the probability to 5/5.
So any other number could be a possibility.
When doctors prescribe medicine, they must consider how much the drug’s effectiveness will decrease as time passes. If each hour a drug is only 95% as effective as the previous hour, at some point the patient will not be receiving enough medicine and must be given another dose. If the initial dose was 250 mg, what will the level of the dose be after 3 hours?
Answers
Answer: The level of the dose be after 3 hours= 0.03125 mg.
Step-by-step explanation:
General exponential decay equation : [tex]y=A(1-r)^x[/tex] , where A = initial value , r= rate of decay , x =Time period.
Here, drug’s effectiveness is decreasing exponentially.
AS per given , we have
A= 250 mg
x=3
r= 95% = 0.95
Then, [tex]y=250(1-0.95)^3 = 250(0.05)^3=250*0.000125=0.03125[/tex]
Hence, the level of the dose be after 3 hours = 0.03125 mg.
Answer:
214.34 about (213.75 on calculator)
Step-by-step explanation:
95% of 250=237.5
95% of 237=225.15
95% of 225=213.75
first correct answer gets best marks
Answers
Answer:
the answer would be x is less than 6.
Step-by-step explanation:
the reason why it would not be x is less than or equal to 6 is that the circle is not filled in.
Answer:
B
Step-by-step explanation:
x≤6
We can see from the graph that it starts from 6 and goes to 5, 4, 3, 2.
Hope this helps ;) ❤❤❤
Given: x + 2 < -5. Choose the solution set.
Answers
Answer:
[tex] x+2-2 <-5-2[/tex]
And after operate we got:
[tex] x <-7[/tex]
And then the solution would be [tex]x<-7[/tex]
Step-by-step explanation:
For this problem we have the following inequality:
[tex] x+2 <-5[/tex]
The first step would be subtract 2 from both sides of the equation and we got:
[tex] x+2-2 <-5-2[/tex]
And after operate we got:
[tex] x <-7[/tex]
And then the solution would be [tex]x<-7[/tex]
Simplify the expression 53 × 5-5.
Answers
Answer:
260
Step-by-step explanation:
By PEMDAS, we know multiplican comes first. 53*5=265. Then, subtract 5 to get 260.
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Answer:
260
Step-by-step explanation:
the rule is to start with multiplication first 53*5=265 then subtract 5
53 × 5-5= 265-5=260
A ladder is leaning against a wall at an angle of 70° with the ground. The distance along the ground is 86cm. Find the length of the ladder
Answers
Answer:
[tex]\boxed{x = 251.4 cm}[/tex]
Step-by-step explanation:
Part 1: Sketching the triangle
We are given the angle of elevation, 70°, and the distance along the ground, 86 centimeters. Our unknown is a ladder leaning against the building. Buildings are erected vertically, so the unknown side length is the hypotenuse of the triangle.
We can then sketch this triangle out to visualize it (attachment).
Part 2: Determining what trigonometric ratio can solve the problem
Now, we need to refer to our three trigonometric ratios:
[tex]sin = \frac{opposite}{hypotenuse}[/tex]
[tex]cos = \frac{adjacent}{hypotenuse}[/tex]
[tex]tan = \frac{opposite}{adjacent}[/tex]
Visualizing the sketched triangle, we can assign the three sides their terms in correspondence to the known angle -- this angle cannot be the right angle because the hypotenuse is opposite of it.
Therefore, we know our unknown side length is the hypotenuse of the triangle and because the other side is bordering the 70° angle, it is the adjacent side.
By assigning the sides, we can see that we need to use the trigonometric function that utilizes both the hypotenuse and the adjacent side to find the angle. This is the cosine function.
Part 3: Solving for the unknown variable
Now that we have determined what side we need to solve for and what trigonometric function we are going to use to do so, we just need to plug it all into the equation.
The cosine function is provided: [tex]cos( \alpha) = \frac{adjacent}{hypotenuse}[/tex], where [tex]\alpha[/tex] is the angle. We just need to plug in our values and solve for our unknown side; the hypotenuse.
[tex]cos (70) = \frac{86 cm}{x}[/tex], where x is the unknown side/the hypotenuse.
[tex]x * cos (70) = \frac{86 cm}{x} * x[/tex] Multiply by x on both sides of the equation to eliminate the denominator and make the unknown easier to solve for.
[tex]\frac{xcos (70)}{cos(70)} = \frac{86 cm}{cos(70)}[/tex], Evaluate the second fraction because the first one cancels down to just the unknown, x.
[tex]\frac{86}{cos(70)} = 251.4[/tex], round to one decimal place.
Your final answer is [tex]\boxed{x=251.4cm}[/tex].
Which order of function composition would benefit Blake the most? Justify your answer. (-100 *0.9) (x) = -100 * 0.9x = -90x
Answers
Answer:
Step-by-step explanation:
(-100*0.9)(x)==-90x
Blake should first multiply the numbers in parenthesis and then multiply by x, even the answer is right but the process is wrong Blake has to follow the rule
Parenthesis , Exponent, Multiplication/Division, Addition/ Subtraction
P E M D A S
What is the area of this polygon?
Enter your answer in the box.
units2
Answers
Answer:
39 units²
Step-by-step explanation:
The figure is composed of a rectangle VEDR and Δ RMV
Area of rectangle = VE × ED = 5 × 6 = 30 units²
Area of Δ = 0.5 × RV × perpendicular from M to RV
= 0.5 × 6 × 3 = 9 units²
Thus
Area of polygon = 30 + 9 = 39 units²
Which of the following describes the zeroes of the graph of f(x) = –x^5 + 9x^4 – 18x^3?
Answers
Answer:
second option
Step-by-step explanation:
Given
f(x) = - [tex]x^{5}[/tex] + 9[tex]x^{4}[/tex] - 18x³
To find the zeros let f(x) = 0, that is
- [tex]x^{5}[/tex] + 9[tex]x^{4}[/tex] - 18x³ = 0 ( multiply through by - 1 )
[tex]x^{5}[/tex] - 9[tex]x^{4}[/tex] + 18x³ = 0 ← factor out x³ from each term
x³ (x² - 9x + 18) = 0 ← in standard form
x³(x - 3)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x³ = 0 ⇒ x = 0 with multiplicity 3
x - 3 = 0 ⇒ x = 3 with multiplicity 1
x - 6 = 0 ⇒ x = 6 with multiplicity 1
Answer: It is B
Step-by-step explanation: Checked on a online calculator.
HELP ASAP. Please select the best answer from the choices provided.
Answers
Answer:
a.
Explanation:
In the chart, the average temperature of each month at the beginning of the year gradually rises until August, where it begins to decrease. This trend is displayed in graph a. Additionally, each month on the x-axis is shown correctly because the months should only span numbers 1-12.
Answer: the answer is A
Step-by-step explanation: hope this helps :D can u plz give a brainliest
√144² =
√9 + √16 =
√9 + √16 × √400 =
Answers
Answer:
Step-by-step explanation
√144²
12²
144
√9 + √16
3 + 4
7
√9 + √16 × √400 =
3 + 2^{4} x 5
3 + 80
83
A play school is designing two sand pits in ts play area . Each must have an area of 36 m2 . However , one of the sand pits must be rectangular , and the other must be square haped . What might be the dimensions of ach of the sand pits ?
Answers
Answer:
Dimensions of square shaped pit = 6m [tex]\times[/tex] 6m
Dimensions of rectangular pit = 1m [tex]\times[/tex] 36m or 2m [tex]\times[/tex] 18m or 3m [tex]\times[/tex] 12m or 4m [tex]\times[/tex] 9m
Step-by-step explanation:
Given:
Two pits in the school playground area (one square shaped and one rectangular shaped).
Each pit must have an area = 36 [tex]m^2[/tex]
To find:
Dimensions of each pit = ?
Solution:
First of all, let us have a look at the formula for area of a square and a rectangle:
[tex]Area_{square} = (Side)^2[/tex]
[tex]Area_{Rectangle} = Length\times Width[/tex]
Now, let us try to find out dimensions of square:
[tex]36 = Side^2\\\Rightarrow Side = 6\ m[/tex]
So, dimensions of Square will be 6m [tex]\times[/tex] 6m.
Now, let us try to find out dimensions of rectangle.
[tex]36 = Length\times Width[/tex]
We are not given any restrictions on the Length and Width of the rectangle.
So, let us explore all the possibilities by factorizing 36:
[tex]36 = 1 \times 36\\36 = 2 \times 18\\36 = 3 \times 12\\36 = 4 \times 9[/tex]
6 [tex]\times[/tex] 6 factors not considered because then it will become a square and which is not the required case.
Dimensions of rectangular pit = 1m [tex]\times[/tex] 36m or 2m [tex]\times[/tex] 18m or 3m [tex]\times[/tex] 12m or 4m [tex]\times[/tex] 9m
A bag contains five white marbles and five black marbles. What is the probability of drawing a white marble, not replacing it, and then drawing a black marble? A. 5/9 B. 1/4 C. 5/18 D. 1/2
Answers
~ ANSWER=1/2 ~
Simple probability is found by counting all the results which fit requirements and dividing by all possible results.
To find probability of two results in a row, multiply chance of first result by chance of second result.
Since you are replacing the marble before the second draw, we don’t have to figure out the various changes in odds for the different possible first draws. It’s just that simple.
There are 5 white marbles
There are 4 red marbles
There are always 20 marbles in all
5/20*4/20=1/4*1/5=1/20 or 1/2
By coincidence, the same as the chance of drawing the white marble in one draw.
Answer:
5/18
Step-by-step explanation:
A total of $10,000 is invested in two mutual funds. The first account yields 5% and the second account yields 6%. How much was invested in each account if the total interest earned in a year is $575?
Answers
Answer:
$2,500 was invested in the first account while $7,500 was invested in the second account
Step-by-step explanation:
Here in this question, we want to find the amount which was invested in each of the accounts, given their individual interest rates and the total amount that was accorded as interest from the two investments
Now, since we do not know the amount invested , we shall be representing them with variables.
Let the amount invested in the first account be $x and the amount invested in the second account be $y
Since the total amount invested is $10,000, this means that the summation of both gives $10,000
Mathematically;
x + y = 10,000 ••••••(i)
now for the $x, we have an interest rate of 5%
This mathematically translates to an interest value of 5/100 * x = 5x/100
For the $y, we have an interest rate of 6% and this mathematically translates to a value of 6/100 * y= 6y/100
The addition of both interests, gives 575
Thus mathematically;
5x/100 + 6y/100 = 575
Multiplying through by 100, we have
5x + 6y = 57500 •••••••••(ii)
From 1, we can have x = 10,000-y
let’s substitute this into equation ii
5(10,000-y) + 6y = 57500
50,000-5y + 6y = 57500
50,000 + y = 57500
y = 57500-50,000
y = 7,500
Recall;
x = 10,000-y
so we have;
x = 10,000-7500 = 2,500
a pile of steel plates is 2.75 feet high. if the plates are 0.375 inch thick. how many are there in the pile.
Answers
Answer:
88
Step-by-step explanation:
2.75 ft = (2.75 ft)(12 in/ft) = 33 in
At 0.375 inches per plate, there will be ...
(33 in)/(0.375 in/plate) = 88 plates
There are 88 steel plates in the pile.
What is the approximate circumference of a circle that has a diameter of 25 yards? (Use 3.14 for pi ). C = a0 yd
Answers
Answer:
78.5 yds
Step-by-step explanation:
The circumference is given by
C = pi *d
C = 3.14 * 25
C =78.5
Answer:
[tex]\huge\boxed{C=25\pi\ yd\approx78.5\ yd}[/tex]
Step-by-step explanation:
The formula of a circumference of a circle:
[tex]C=d\pi[/tex]
d - diameter
We have d = 25yd.
Substitute:
[tex]C=25\pi\ yd[/tex]
Use [tex]\pi\approx3.14[/tex]:
[tex]C\approx(25)(3.14)=78.5\ yd[/tex]
What is the translation from quadrilateral IJK to
quadrilateral I'J’K’
Answers
Answer:
The translation from triangle IJK to triangle I'J'K' is [tex]T_{(2, 6)}[/tex] which is 2 units to the right and 6 units up
Step-by-step explanation:
The coordinates of triangle JKI are;
J has coordinates (1, - 1)
K has coordinates (1, - 4)
I has coordinates (-3, - 2)
While, the coordinates of translation triangle J'K'I' are;
J' has coordinates (3, 5)
K' has coordinates (3, 2)
I' has coordinates (-1, 4)
Which give the translation as follows
Translation in the y-coordinate (y values);
For J = 5 - (-1) = 6
For K = 2 - (-4) = 6
For I = 4 - (-2) = 6
Translation in the x-coordinate (x values);
For J = 3 - 1 = 2
Therefore, the translation from triangle IJK to triangle I'J'K' is T(2, 6) which is 2 units to the right and 6 units up
Find the interquartile range for a data set having the five-number summary: 3.5, 12, 19.1, 25.8, 31.8
Answers
Answer:
interquartile range=21.05
Step-by-step explanation:
3.5, 12, 19.1, 25.8, 31.8
median is 19.1
Quartile 1= (3.5+12)/2=7.75
Quartile 3=(25.8+31.8)/2=28.8
interquartile range=Q3-Q1=28.8-7.75= 21.05
WIll mark brainliest asap
Answers
Answer:
If the number is x, we can write the following equation:
2 + 10x = 2
10x = 0 so therefore, x must be 0. There is no other number that satisfies this property.
4 1/3 b+b=6b–10.4 efvnabvkjaebv
Answers
Answer: The value of b= 15.6
Step-by-step explanation:
The given equation: [tex]4\dfrac{1}{3}b+b=6b-10.4[/tex]
To find : Value of b.
Since, we can write [tex]4\dfrac{1}{3}=\dfrac{13}{3}[/tex]
So, the given equation becomes [tex]\dfrac{13}{3}b+b=6b-10.4[/tex]
[tex]\Rightarrow\dfrac{13b+3b}{3}=6b-10.4\Rightarrow\dfrac{16b}{3}=6b-10.4[/tex]
Subtract 6b from both sides , we get
[tex]\Rightarrow\dfrac{16b}{3}=6b-10.4\\\\\Rightarrow\dfrac{16b-18b}{3}=-10.4\\\\\Rightarrow\dfrac{-2b}{3}=-10.4\\\\\Rightarrow b=-10.4\times\dfrac{-3}{2}\\\\\Rightarrow\ b= 15.6[/tex]
hence, the value of b= 15.6
Find the fraction half way between 1/7 and 1/5
Answers
Answer:
6/35
Step-by-step explanation:
add ¹/7+¹/5 =12/35
divide 12/35 by 2
=6/35