Answers
Answer:
Step-by-step explanation:
the percentage error: P
Approximate value=a 1.41
Exact = e(1.41421356 or √2)
p=[(e-a)/e]×100
p=[√2-1.41)/√2]×100
p=0.29794385 ≅0.30 or 30 percent when rounded to the nearest hundredth
b: p=[(π-3.14)/π]×100=0.05069573≅0.05 =5 percent when rounded to the nearest hundredth. in the pi case the percentage of error is small 5 % but in the case of square roots the percentage id higher(30%). in this case it is better to round the answer at the end of calculation( math problem)
c) sometimes when rounding square roots or irrational number like pi it is useful to use decimal approximate, in the case of pi the percentage rate was 5 percent which is very low comparing to the square root which is 30 %.
Related Questions
Solve for x
x to the power of 2 = 49
Answers
Hard question please help. I had to repost because last time I wanted to give more points but I forgot to.
If [tex]\frac{\sin^2 3A}{\sin^2 A} - \frac{\cos^2 3A}{\cos^2 A} = 2[/tex] find what [tex]\cos2A[/tex] is.
Best Answer gets the reaming 15!
Have Fun!
Answers
Use the angle sum identities to expand [tex]\sin(3A)[/tex] and [tex]\cos(3A)[/tex]:
[tex]\sin(3A)=\sin(A+2A)=\sin A\cos(2A)+\cos A\sin(2A)[/tex]
[tex]\cos(3A)=\cos(A+2A)=\cos A\cos(2A)-\sin A\sin(2A)[/tex]
Use the double angle identity to expand [tex]\sin(2A)[/tex]:
[tex]\sin(2A)=2\sin A\cos A[/tex]
So we have
[tex]\sin(3A)=\sin A\cos(2A)+2\cos^2A\sin A[/tex]
[tex]\cos(3A)=\cos A\cos(2A)-2\sin^2A\cos A[/tex]
Then divide the first expression by [tex]\sin A[/tex] and the second by [tex]\cos A[/tex]:
[tex]\dfrac{\sin(3A)}{\sin A}=\cos(2A)+2\cos^2A[/tex]
[tex]\dfrac{\cos(3A)}{\cos A}=\cos(2A)-2\sin^2A[/tex]
Squaring these gives
[tex]\dfrac{\sin^2(3A)}{\sin^2A}=(\cos(2A)+2\cos^2A)^2=\cos^2(2A)+4\cos(2A)\cos^2A+4\cos^4A[/tex]
[tex]\dfrac{\cos^2(3A)}{\cos^2A}=(\cos(2A)-2\sin^2A)^2=\cos^2(2A)-4\cos(2A)\sin^2A+4\sin^4A[/tex]
Subtract the second expression from the first to get the original equation. The [tex]\cos^2(2A)[/tex] terms cancel, leaving us with
[tex]4\cos(2A)\cos^2A+4\cos^4A+4\cos(2A)\sin^2A-4\sin^4A=2[/tex]
Now, notice that
[tex]4\cos(2A)\cos^2A+4\cos(2A)\sin^2A=4\cos(2A)(\cos^2A+\sin^2A)=4\cos(2A)[/tex]
and
[tex]4\cos^4A-4\sin^4A=4(\cos^2A-\sin^2A)(\cos^2A+\sin^2A)=4\cos(2A)[/tex]
because [tex]\cos^2A+\sin^2A=1[/tex] and [tex]\cos^2A-\sin^2A=\cos(2A)[/tex].
So we're left with
[tex]4\cos(2A)+4\cos(2A)=8\cos(2A)=2\implies\boxed{\cos(2A)=\dfrac14}[/tex]
Solve the equation.
-0.3x = - 1.5
Answers
Because you divide both sides by -0.3 and it should give you the equation x= -1.5 Divided by (-3.0) which equals x=5
-1/2 (7z+4)+1/5(5z-15). Solve equation.
Answers
Answer:
-2.5(z+2)
Step-by-step explanation:
Find the value of X. pls help me
Answers
Answer:
x=7
Step-by-step explanation:
As seen from the higher two numbers, there is a distinct ratio between the shorter side and the longer side. To find the ratio we simply get the given two without the x and we get 8:12 which simplifies to 2:3 or 1: 1.5
This means in order to find 3x-6, we need to multiply 10 by 1.5 which means:
3x-6=15
3x=21
x=7
Hope this helped!
If skin cancers is related to UV light that people with high exposed to UV light we have higher chance of getting skin cancer what is the In dependable Independent variable
Answers
Answer:
Exposure to the UV light is the dependable independent variable.
Step-by-step explanation:
An independent variable does not depend on another variable, but can rather have another variable depending on it. In this case, the chances of getting skin cancer depends on if a person is exposed to a high dose of UV light. The chances of getting skin cancer is the dependent variable, while the exposure to the UV light is the independent dependable variable.
Answer:
Dependable variable
Step-by-step explanation:
please help meeee!!!!!! complete the equation below. (4x)^-2(4x)^3(4x)^9 =(4x)______.
Answers
Answer for the blank is: 10
The exponents are -2, 3 and 9. Note how the bases are all the same at 4x. When we multiply exponential expressions like this, we add the exponents. So we'll get -2+3+9 = 1+9 = 10 as the final exponent over the base 4x
In short,
[tex](4x)^{-2}*(4x)^3*(4x)^9 =(4x)^{-2+3+9} = (4x)^{10}[/tex]
please help meeee!!!!!! complete the equation below. (4x)^-2(4x)^3(4x)^9 =(4x)=10
2/4+5/4= 6/12+14/12=
Answers
Answer:
7/4=5/3 is the answer
Which set of numbers is correctly ordered from least to greatest? [tex]A.) \frac{24\pi }{5\ } ,\frac{63}{4} ,15.758, 956\sqrt{e} \\\\B.)\frac{24\pi }{5\ } ,15.758, \frac{63}{4},956\sqrt{e} \\\\\\C.)956\sqrt{e} \,,15.758,\frac{63}{4} , \frac{24\pi }{5\ } \\ D.)956\sqrt{e} ,\frac{63}{4},15.758, \frac{24\pi }{5\ } \\[/tex]
Answers
A.) [tex]\frac{24\pi }{5} < \frac{63}{4} < 15.758 < 956\sqrt{e}[/tex] is the set of numbers correctly ordered from least to greatest (ascending order).
What is ascending order?
Ascending order is a method of arranging numbers from smallest value to largest value. The order goes from left to right. Ascending order is also sometimes named as increasing order.
[tex]\frac{24\pi }{5} = 15.0796\\\\\frac{63}{4} = 15.75\\\\956\sqrt{e} = 1576.177[/tex]
15.079 < 15.75 < 15.758 < 1576.177
[tex]\frac{24\pi }{5} < \frac{63}{4} < 15.758 < 956\sqrt{e}[/tex]
Learn more about ascending order here
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i need help i will give the brainleness thing to whoever can answer
Answers
Answer:
A=30cm, B=39cm
Step-by-step explanation:
They are an enlargement. Therefore, the sides are larger by the same proportion, otherwise, it wouldn't be an enlargement. Therefore, the bottom side of the big one is 3 times that of the small one. Therefore, the other sides are also 3 times, making A = 30cm and B = 39cm.
Answer:
A
12cm to 36cm is mulitiply by 3, so that means that you mutiply each of the other sides by 3 to get your answer
Two of the angles in a triangle measure 52 and 22 what must be the measure of the third angle
Answers
Enter the terms and the coefficients of the expression. −80 + 7p − 6z
Answers
Answer:
Step-by-step explanation:
Terms Coefficient
7p 7
-6z -6
-80 constant term
13. One-fourth of a number is the same as the square of -3
Answers
Solve: (5x - 3y + 2z)²
Answers
Answer:
25[tex]x^{2}[/tex] - 30xy + 20xz + 9[tex]y^{2}[/tex] - 12yz + 4[tex]z^{2}[/tex]
Step-by-step explanation:
We multiply it out.
(5x - 3y + 2z) * (5x - 3y + 2z)
5x*5x + 5x*-3y + 5x*2z - 3y*5x - 3y*-3y -3y*2z + 2z*5x +2z * -3y +2z *2z
25[tex]x^{2}[/tex] - 15xy + 10xz - 15xy + 9[tex]y^{2}[/tex] - 6yz + 10xz - 6yz + 4[tex]z^{2}[/tex]
Add like terms
25[tex]x^{2}[/tex] - 15xy - 15xy + 10xz + 10xz + 9[tex]y^{2}[/tex] - 6yz - 6yz + 4[tex]z^{2}[/tex]
25[tex]x^{2}[/tex] - 30xy + 20xz + 9[tex]y^{2}[/tex] - 12yz + 4[tex]z^{2}[/tex]
Which of the following is Equivalent to
3x - 4y = 6 ? Solve for y.
Answers
Answer:
Y = 3/4X - 3/2
Step-by-step explanation:
3X - 4y =6
3X - 6 =4Y
Y = 3/4X - 3/2
The value of Y for the expression 3x - 4y = 6 will be Y = 3/4X - 3/2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is 3x - 4y = 6. The value for y will be calculated as,
3X - 4y =6
Rearrange the above equation and solve for Y,
3X - 6 =4Y
Y = 3/4X - 3/2
To know more about an expression follow
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m = 4 and x-intercept of -2 in slope- intercept form.
Answers
Answer:
y = 4x + 8
Step-by-step explanation:
Slope-intercept form:
y = mx + bm = 4
y = 4x + bx-intercept = -2, it means x = -2, y = 0
(-2, 0)Using this point we get the value of b
0 = 4*(-2) + b ⇒ b = 8The form now is:
y = 4x + 80.2(x + 1) + 0.5x = –0.3(x – 4)
Answers
Please assist me with this
Answers
Answer:
The answer is option AStep-by-step explanation:
To find the value of x when y = 24, we must first find the relationship between them
[tex]y \: \: \alpha \: \: \frac{k}{ \sqrt{x} } [/tex]where k is the constant of proportionality
when
x = 16
y = 2
Substitute the values into the above formula and solve for k
That's
[tex]2 = \frac{k}{ \sqrt{16} } \\ 2 = \frac{k}{4} [/tex]Cross multiply we have the answer as
k = 8
So the formula for the variation is
[tex]y = \frac{8}{ \sqrt{x} } [/tex]Now when y = 24
We have
[tex]24 = \frac{8}{ \sqrt{x} } \\ 24 \sqrt{x} = 8 \\ \sqrt{x} = \frac{8}{24} \\ \sqrt{x} = \frac{1}{3} [/tex]Square both sides
[tex]( { \sqrt{x} })^{2} = ( { \frac{1}{3} })^{2} [/tex]We have the final answer as
[tex]x = \frac{1}{9} [/tex]Hope this helps you
(01.01 MC)Which number line shows the solution to 6 + (−6)? A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 12 is shown. A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 0 is shown. A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to positive 6 is shown. A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 12 is shown. PLS HELP ASAP !!!!!! WILL GIVE BRAINLIEST!!!!
Answers
Answer:
the first one
Step-by-step explanation: it worked for me i passed it
Whoever answers this question will be marked the brainiest
Answers
====================================================
Explanation:
Angle PQT = 35 degrees is given. This inscribed angle subtends or cuts off minor arc PT. This is the shortest distance along the circle from P to T. Any other inscribed angle that cuts off this same arc will also be the same measure. Note how angle PRT is such an inscribed angle, so,
angle PRT = 35 degrees
which we'll use later.
----------------
Focus on triangle ROS. Interior angle O is 180-82 = 98 degrees due to it being supplementary to the 82 degree angle shown.
Triangle ROS is isosceles with OR = OS being the two equal radii. The opposite base angles R and S are congruent angles. Call them x for now
(angle O) + (angle R) + (angle S) = 180
98+x+x = 180
2x+98 = 180
2x = 180-98
2x = 82
x = 82/2
x = 41
For triangle ROS, interior angle R is 41 degrees. Put another way,
angle ORS = 41 degrees
we'll use it below along with angle PRT
------------------------
angle PRS = (angle PRT) + (angle ORS)
angle PRS = (35) + (41)
angle PRS = 76 degrees
what is -13.5 = 2.7x
Answers
X= -5
-13.5 ÷ 2.7= -5
-5=x
Answer:
x=5
Step-by-step explanation:
please i need help quick
Answers
I need help with my math to day.♀️
Answers
Answer:
8x + 1 + 6x + 5 = 90
14x + 6 = 90
14x = 84
x = 6
<DCB is 6x+5
6(6) + 5
36 + 5
41
Answer:
∠ DBC = 41°
Step-by-step explanation:
∠ DBC + ∠ DBA = 90° , substitute values
6x + 5 + 8x + 1 = 90, that is
14x + 6 = 90 ( subtract 6 from both sides )
14x = 84 ( divide both sides by 14 )
x = 6
Thus
∠ DBC = 6x + 5 = 6(6) + 5 = 36 + 5 = 41°
-. Six square-based pyramids fit exactly onto the six faces of a
cube of side 4 cm. If the volume of the object formed is
256 cm', find the height of each of the pyramids.
Answers
Answer:
60
Step-by-step explanation:
2x2 + 11x + 5
Factor the trinomial
Answers
Answer: 9+11x
Answer:
9+11x
Step-by-step explanation:
Kim drove 627 miles in 9.5 hours. What is
her average speed in miles per hour?
5,956 miles per hour
B 660 miles per hour
66 miles per hour
60 miles per hour
Help please
Answers
Answer:
Step-by-step explanation:
66 mile per hour .
Help with these 3 I will give u a thanks
Answers
Answer:
3.6/5, 4. 9, 5. 11/2
Step-by-step explanation:
3. 2/5/6
= 2× 6/5
= 12/5
4. 7/9/7
= 7× 7/9
= 9
5. 8/11/4
= 8×4/11
= 11/2
hope you understand this answer
sorry if the answer is wrong
Solve: 3x + 5 - 13x = 25
Answers
Answer: x = -2
Step-by-step explanation:
3x+5 -13x =25 combine like terms on the left side
-10x + 5 = 25 Subtract 5 from both sides
-5 -5
-10x = 20 Divide both sides -10
x = -2
Answer:
[tex]x = -2[/tex]
Step-by-step explanation:
If we have the equation [tex]3x+5-13x=25[/tex], we can isolate x on one side and find it's value.
Let's combine like terms.
[tex]-10x + 5 = 25[/tex]
Subtract 5 from both sides:
[tex]-10x + 5 - 5 = 25 - 5\\\\-10x = 20[/tex]
Divide both sides by -10:
[tex]-10x\div-10 = 20\div-10\\\\x = -2[/tex]
So [tex]x = -2[/tex].
Hope this helped!
There are 10 fifth-grade students attending a class field trip to the city’s art museum. If each admission ticket costs $6, what is the total cost of admission for the 10 students
Answers
Answer:
$60
Step-by-step explanation:
10x6=60. 6+6+6+6+6+6+6+6+6+6= 60
The area of a square is 8 square meters. Which of these
closest to the length of one side of the square?
F 2 meters
G 2.8 meters
4 meters
H 3.5 meters
Answers
Answer:
G.
Step-by-step explanation:
Length = Square root of Square area
= √8 (-√8 is rejected as length is positive)
We know that √4 < √8 < √9 because 4 < 8 < 9.
=> 2 < √8 < 3.
The only answer that is in this range is G.