Answer:
7/12
Step-by-step explanation:
The first step is converting the mixed fractions to improper fractions (meaning there will be more in the numerator than denominator). So:
2 & 1/3 is equal to 6/3 + 1/3 = 7/3, since we take the whole number and multiply it by the denominator, then put it over the denominator. Another way of looking at this is what divided by the denominator (3) will get us 2, which, in this case, is 3. Then 1 & 3/4 is 4/4 + 3/4 = 7/4.
The next step is: when subtracting fractions, the denominators must always be the same. So you must set the denominators of 7/3 & 7/4 to be the same, by finding the least common denominator. In this case, it is 12, since 4 & 3 can both be multiplied to get 12.
[tex]\frac{7}{3} * \frac{4}{4} = \frac{28}{12}[/tex]
and
[tex]\frac{7}{4} * \frac{3}{3} = \frac{21}{12}[/tex]
Then, you take the difference between these two fractions:
[tex]\frac{28}{12} - \frac{21}{12} = \frac{7}{12}[/tex]
So, your final answer is 7/12.
Hopefully this helped you understand the topic better, sorry if my explanation is a little confusing. Good luck in your studies & have a wonderful day!
Which of the the coordinates is equal to sin (4pi/5) ?
A) x-coordinate of point A
B) y-coordinate of point A
C) x-coordinate of point B
D) y-coordinate of point B
E) x-coordinate of point C
F) y-coordinate of point C
Answer:
Step-by-step explanation:
π/2 < 4π/5 < π
4π/5 is in Quadrant II
sin(4π/5) = y-coordinate of A
The coordinates is equal to sin(4π/5) = y-coordinate of A.
We need to find the coordinates is equal to sin (4pi/5).
Which trigonometric functions are positive in which quadrant?In first quadrant (0 < θ < π/2), all six trigonometric functions are positive.
In second quadrant(π/2 < θ < π), only sin and cosec are positive.
In the third quadrant (π < θ < 3π/2), only tangent and cotangent are positive.
In fourth (3π/2 < θ < 2π = 0), only cos and sec are positive.
Then, we have π/2 < 4π/5 < π
So, 4π/5 is in Quadrant II
Hence, the coordinates is equal to sin(4π/5) = y-coordinate of A.
Learn more about trigonometric ratios here:
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Directions-Graph the following slope intercept equation
What are thooooossssss
Answer:
nikes
Step-by-step explanation:
a smart phone prices at 235 was on sale for 195. what was the percent discount.
will mark brainliest!! pls help if you can!!
Answer:
The answer should be 120.512821\%
Step-by-step explanation:
1 To convert the fraction to a decimal, divide the numerator by the denominator.
235÷195
2 Use long division.
1.205128
3 To convert to a percent, multiply the decimal by 100.
1.205128×100=120.512821
4 Add the percent sign.
120.512821%
[tex] { - 2v}^{4} { - 6v}^{3} [/tex]
Please factor out the common factor out of each expression
Answer: [tex]-2v^4-6v^3 =-2v^3 (v+3)[/tex]
Step-by-step explanation:
[tex]-2v^4-6v^3 =-2v^3 (v+3)[/tex]
Jordan has a job delivering newspapers. Each Sunday, she earns $24.75 plus $0.20 for each house she delivers to. if jordan earns $33.75, how many papers did she deliver?
Answer:
33.75- 24.75= 9.00 he earned at $.20 per house.
900÷20= 45 houses
What are Polynomials?
Answer:
Polynomials are algebraic expressions that include real numbers and variables. The variables can only include addition, subtraction, and multiplication.
Answer:
In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7.
What is the next number in the sequence 2, -8, 32, -128
Answer:
512
Step-by-step explanation:
the number is squared: the square is added 2 continuously.
Choose the number that is 7.648 rounded to the nearest hundredth
Answer:
7.65
Step-by-step explanation:
because 4 is the hundredths place so you look to the right and the number 8 is more so you round it and you get 5 so its 7.65
The number that equivalent to after rounding off to nearest hundred will be 7.65 .
Given,
Number = 7.648
Here,
The concept of rounding off:
When the digit after decimal is greater than 5 then it can be rounded off to its next value .
If the digit is less than 5 then it can be rounded to its previous value .
So,
The number is 7.648 .
Rounding off to its nearest hundred .
Clearly we can round off the number to its nearest hundred ,
Rounding off to nearest hundred= 7.65
Know more about rounding off,
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Which expression is equivalent to 32x20y21z34 ?
A 16 x 18 y 19 z 32
B 16 x 10 y 10 z 17 y
C 4 x 18 y 19 z 32 2
D 4x 10 y 10 z 17 2 y
1: Find the area of triangle ABC If A = 30 degrees, b = 3, and c = 4
Answer:
Area=1/2× sin30°×3×4
= 1/4× 12
= 3cm²
Enter the correct answer in the box. Simplify the expression (6^2)^4
Answer:
6^8 or 1679616
Step-by-step explanation:
Answer:
1679616
Step-by-step explanation:
Look at this graph:
SY
100
90
80
70
60
50
40
30
20
10
0
10
20
30
40
50
60
70 80 90 100
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer: Slope is 2/3
Step-by-step explanation:
find the factors of each number. Write the common factor ( CF ) and then state the greatest common factor ( GCF) .
Given:
Two numbers are 12 and 21
To find:
The factors of 12 and 21, then find the common factor and the greatest common factor.
Solution:
Two numbers are 12 and 21. The prime factors of these two numbers are
[tex]12=2\times 2\times 3[/tex]
[tex]21=3\times 7[/tex]
From the above factorization, it is clear that the factor 3 is common in both. So,
Common factor (CF) = 3
Only 3 is common in factorization of both. So,
Greatest common factor (GCF) = 3
Therefore, the common factor is 3 and the greatest common factor is also 3.
A circle graph represents the choices of twenty-eight students. A section of 25% represents the choices of how many students?
12
7
10
14
Answer:
Hi, I think your answer is seven. I hope this helps you. :D
3x-5=92
What does x equal?
Answer:
x= 97/3
Step-by-step explanation:
Answer:
x=97/3, but the simplified version is 32.3
Step-by-step explanation:
Hope this helps!!
Use algebra to explain how you know that a rectangle with side lengths one less and one more than a square will always be 1 square unit smaller than the square. 2. What is the difference in the areas of a square and rectangle if the rectangle has side lengths 2 less and 2 more than a square? Use algebra or a geometric model to compare the areas and justify your answer. 3. Explain why the method for factoring shown in this lesson is called the product-sum method.
Answer:
Step-by-step explanation:
1. If a is the length of the side of the square, then a 2 is the area of the square. The rectangle’s side lengths will be (a − 1) and (a + 1). That product, which represents the area of the rectangle, is a 2 − 1, or 1 square unit less than the area of the square.
2. Using the same logic as for Problem 1, the rectangle dimensions will be (a + 2) and (a − 2) with an area of a 2 − 4. Therefore, the area of the rectangle is 4 square units less than the area of the original square
3. It is called the product-sum method because you look for the two numbers with a product equal to the constant term of the quadratic expression and a sum equal to the coefficient of the linear term
Need help ASAP Plss help
Does anybody know how to solve this?
Answer:
[tex]AD = 403.75[/tex]
[tex]CD = 115.70[/tex]
[tex]BD = 294.93[/tex]
Step-by-step explanation:
Given
The above triangle
Solving (a): AD
To solve AD, we consider triangle ACD.
Using cosine formula:
[tex]cos(\angle A) = \frac{AD}{AC}[/tex]
Where:
[tex]\angle A =16[/tex]
[tex]AC = 420[/tex]
So:
[tex]cos(16) = \frac{AD}{420}[/tex]
[tex]AD = 420 * cos16[/tex]
[tex]AD = 420 * 0.9613[/tex]
[tex]AD = 403.75[/tex]
Solving (b): CD
Here, we make use of Pythagoras theorem:
[tex]AC^2 = AD^2 + CD^2[/tex]
So:
[tex]420^2 = 403.75^2 + CD^2[/tex]
[tex]176400 = 163014.0625 + CD^2[/tex]
[tex]CD^2 = 176400 - 163014.0625[/tex]
[tex]CD^2 = 13385.9375[/tex]
[tex]CD = \sqrt {13385.9375[/tex]
[tex]CD = 115.70[/tex]
Solving (c): BD
Here, we make use of Pythagoras theorem:
[tex]AB^2 = AD^2 + BD^2[/tex]
[tex]BD^2 = AB^2 - AD^2[/tex]
[tex]BD = \sqrt{AB^2 - AD^2[/tex]
[tex]BD = \sqrt{500^2 - 403.75^2[/tex]
[tex]BD = \sqrt{86985.9375[/tex]
[tex]BD = 294.93[/tex]
Lincoln invested $15,000 in an account paying an interest rate of 3\tfrac{1}{2}3 2 1 % compounded continuously. Harper invested $15,000 in an account paying an interest rate of 4\tfrac{1}{8}4 8 1 % compounded daily. To the nearest dollar, how much money would Harper have in her account when Lincoln's money has tripled in value?
Answer:
54750
Step-by-step explanation:
the problem 6x-9 what is x
Answer:
-54 or -3
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
6x-9=
6x-9+9=9
6x/6=9/6
x=1.5
Hope this helps ! :)
A student answered 8 out of 10 questions correctly on this quiz. What percent of the
questions were answered correctly?
Answer:
80%
Step-by-step explanation:
80% of the questions were answered correctly
Answer:
If a student answers 8 out of 10 questions correctly, their score would be an 80%.Step-by-step explanation:
So, 8 out of 10 is equivalent to what out of 100? 80 percent.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope I helped!!!
GL :)
Pls help!!! What situation can this graph represent?
Answer: Ocean tides
Step-by-step explanation: when the moon orbits the earth, it's gravitational pull causes tidal movements in large bodies of water; such as the oceans.
Barney worked 14 hours last week and earned a total of $96. His job as a lifeguard pays $8 per hour, and his job as a cashier at the hot dog stand on the beach pays only $6 per hour. How many hours did he work at each job?
Answer: 24 hours
Step-by-step explanation:
(-1 1/2, -6 1/2) + (-2 1/2, -6 1/2)
Answer:
17
Step-by-step explanation:
Why do you think North Dakota is the 39th state and South Dakota the 49th state? They were both enacted the same day so how did they pick?
Answer:
After controversy over the location of a capital, the Dakota Territory was split in two and divided into North and South in 1889. Later that year, on November 2, North Dakota and South Dakota were admitted to the Union as the 39th and 40th states. This vast territory was one of the last American regions to be settled.
Help!!!!!! Help!!!!
Answer:
24°
Step-by-step explanation:
[tex]r \degree = 180 \degree - (34 + 122) \degree \\(vertical \: \angle s) \\ \\ r \degree = 180 \degree - 156 \degree \\ \\ r \degree = 24 \degree \\ \\ r = 24[/tex]
Answer and Step-by-step explanation:
The answer is 24 degrees.
We see the angle 34 and 122. To find that angle in between, we subtract those numbers from 180.
180 - 34 - 122 = 24 = r
By the vertical angles theorem, r is equal to 24.
#teamtrees #PAW (Plant And Water)
PLEASE HELP ASAP GEOMETRY 20 PTS REAL ANSWERS ONLY
Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
a = 8.1 in.
b = 13.3 in.
c = 16.2 in.
A = 31.9°, B = 52.8°, C = 95.3°
No triangle satisfies the given conditions.
A = 29.9°, B = 54.8°, C = 95.3°
A = 27.9°, B = 54.8°, C = 97.3°
I think it might be B
Answer:
Step-by-step explanation:
Use the Law of Cosines to find the measure of angle A from the lengths of the sides.
A = arccos[(b²+c²-a²)/(2bc)] ≅ 29.9°
B = arccos[(a²+c²-b²)/(2ac)] ≅ 54.8°
C = 180 - A - B = 95.3°
What is the value of (0.6)^3 ?
Answer:
0.216
Step-by-step explanation:
it's basically 0.6*0.6*0.6, not much to it
A vessel without a lid has the shape of a cylinder. The height of the vessel is 1.5 m, and the diameter of the base represents 40% of the height. Determine if 1 kg of paint is enough to completely paint the vessel inside and out, if it is known that for 1 square meter of surface 150g of paint is consumed.
Answer:
Yes, 1 kg of paint is enough to completely paint the inside and outside surfaces of the vessel.
Step-by-step explanation:
For the given vessel without a lid,
diameter = 0.4 x 1.5
= 0.6 m
radius = [tex]\frac{diameter}{2}[/tex] = [tex]\frac{0.6}{2}[/tex]
= 0.3 m
Total external surface area of the vessel = 2[tex]\pi[/tex]rh + [tex]\pi[/tex][tex]r^{2}[/tex]
= [2 x [tex]\frac{22}{7}[/tex] x 0.3 x 1.5] + [[tex]\frac{22}{7}[/tex] x [tex](0.3)^{2}[/tex]]
= 2.8286 + 0.2829
= 3.1112
Total external surface area of the vessel is 3.1112 square meter.
Total internal and external surface area = 2 x 3.1112
= 6.2224 [tex]m^{2}[/tex]
But for 1 square meter, 150 g of paint is consumed. Thus;
for 6.2224 [tex]m^{2}[/tex] = 6.2224 x 150 g
= 933.36 g
Thus, 6.2224 [tex]m^{2}[/tex] of area would require 933.36 g of paint.
So that,
[tex]\frac{933.36}{1000}[/tex] = 0.93336 kg
Therefore, 1 kg of paint is enough to completely paint the inside and outside surfaces of the vessel.