Answer:
Around 52.94%
Step-by-step explanation:
We can use the percentage error formula, which is
[tex]\frac{|approx-exact|}{exact}\cdot100[/tex].
The approximated value was 8, however the exact value was 17, so we can substitute inside the equation.
[tex]\frac{|8-17|}{17}\cdot100 \\\\\frac{|-9|}{17}\cdot100 \\\\\frac{9}{17}\cdot100 \\\\0.5294...\cdot100 \\\\52.94[/tex]
Hope this helped!
PLS HELL I WILL GIVE BRAINLIST AND A THANK YOU
Answer:
[tex]\huge \boxed{20}[/tex]
Step-by-step explanation:
The angles add up to 90 degrees.
x + 2x + x + 10 = 90
Combine like terms.
4x + 10 = 90
Subtract 10 from both sides.
4x = 80
Divide both sides by 4.
x = 20
Answer:
x = 20
Step-by-step explanation:
Since we are solving for x let's create an equation
The whole thing is equal to 90 degrees, so we can keep that on one part of the equation
x + 2x + (x + 10) = 90
First let's add all of the x's together making it 4x + 10 = 90
Now subtract 10 from each side 4x = 80
Lastly, divide 4 on each side
x = 20
Given the right triangle below, if AB = 4 and BC = 4, find AC.
A
B
C
AC will be 4√2 when AB = 4 and BC = 4, in the given right triangle.
What is Pythagoras' Theorem?According to Pythagoras' Theorem, in a right triangle, the square of the length of the longest side, that is, the hypotenuse, that is, the side opposite to the right angle is equal to the sum of the squares of the lengths of the other two sides.
How to solve the question?In the question, we are given a right triangle, with sides AB = 4 and BC = 4.
We are asked to find AC.
To find AC, we will use the Pythagoras theorem, according to which, we can write:
AC² = AB² + BC²
or, AC² = 4² + 4²,
or, AC² = 16 + 16,
or, AC² = 32,
or, AC = √32,
or, AC = √(16 * 2) = 4√2.
Therefore, AC will be 4√2 when AB = 4 and BC = 4, in the given right triangle.
Learn more about Pythagoras' Theorem at
https://brainly.com/question/231802
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can i please have help please?? Is 32,120 equal to 3.212×10 to the 4 power?
Answer:
Yes
Step-by-step explanation:
3.212 x 10^4
=> 3.212 x 10000
=> 32.12 x 1000
=> 321.2 x 100
=> 3212 x 10
=> 32120 x 1
=> 32120
Answer:
Yes
Step-by-step explanation:
In scientific notation, the power is the number of times you move the decimal place to the right.
3.212 x 10^4 is equivalent to 32,120 when you move the decimal place 4 times to the right.
So, 32,120 is equivalent to 3.212 x 10^4
PLEASE HELP WILL MARK BRAINLIEST
Answer:
18 m
Step-by-step explanation:
Answer:
18m
Step-by-step explanation:
Write the phrase as an expression. Then evaluate the expression when x = 5.
6 more than the product of 8 and a number x
Expression:
When x = 5, the value of the expression is
Answer:
6 + 8x
46
Step-by-step explanation:
1. Write the expression
6 + 8x
2. Plug in 5 for x
6 + 8(5) → 6 + 40 = 46
Answer:
Expression=8x+6
The value of expression=46
prove that [tex]2/\sqrt{3} cosx + sin x= sec(\pi /6-x)[/tex]
Answer:
sec(π/6 - x) = R.H.S = 2/(√3cosx + sinx) = L.H.S.
Step-by-step explanation:
sec(π/6 - x) = 1/cos(π/6 - x)
Using compound angle formula,
cos(A - B) = cosAcosB + sinAsinB where A = π/6 and B = x.
So, cos(π/6 - x) = cos(π/6)cosx + sin(π/6)sinx , cosπ/6 = √3/2 and sinπ/6 = 1/2
cos(π/6 - x) = cosπ/6cosx + sinπ/6sinx = (√3/2)cosx + (1/2)sinx
sec(π/6 - x) = 1/cos(π/6 - x)
= 1/(√3/2)cosx + (1/2)sinx = 2/(√3cosx + sinx)
= L.H.S
So, sec(π/6 - x) = R.H.S = 2/(√3cosx + sinx) = L.H.S
A number is three times another number. The difference of these two numbers is 10. Find these number.
Answer:
5,15
Step-by-step explanation:
let the numbers be x and y
but y = 3x
3x - x = 10
2x = 10
x = 5
Answer:
[tex]\Large \boxed{\sf 15 \ and \ 5}[/tex]
Step-by-step explanation:
Let the first number be x.
Let the second number be y.
x is 3 times y.
Difference of x and y is 10.
[tex]x=3y[/tex]
[tex]x-y=10[/tex]
Put x as 3y in the second equation.
[tex]3y-y=10[/tex]
Combine like terms.
[tex]2y=10[/tex]
Divide both sides by 2.
[tex]y=5[/tex]
Plug y as 5 in the first equation.
[tex]x=3(5)[/tex]
Multiply.
[tex]x=15[/tex]
The two numbers are 15 and 5.
whats the squareroot of 72 needs to be simplified
Answer: 6√2
Step-by-step explanation: The easiest way to do this problem is to factor 72 as 2 · 36, then recognize 36 as a perfect square, 6 · 6.
There's no need to factor further because the 6's pair up
so a 6 comes out of the radical leaving a 2 inside.
So our answer is 6√2.
Always be on the lookout for perfect squares!
Work is attached below.
Evaluate the expression for the given value of the variable. −3x3, when x = 4
Answer:
The answer is - 192Step-by-step explanation:
The expression
- 3x³
To find the value of the expression when
x = 4 substitute the value of x that's 4 into the expression
We have
- 3(4)³
= - 3( 64)
The final answer is
- 192Hope this helps you
Two similar figures have sides in the ratio of 2:3. Ita side of the smaller triangle has a length of 7, what is
the length of the corresponding side of the other triangle?
Answer:
10.5
Step-by-step explanation:
2/3=7/x
2x=21
x=21/2=10.5
What is the value of the expression below when w = 6 and x = 2?
9w + 9x
WILL MARK BRAINLIEST HELP ASAP The student's in Roberto's school are painting a mural that will be 8 feet by 15 feet. First they make a scale drawing of the mural with a scale of 2 feet:5 feet. What are the length and width of the scale drawing in feet?
Answer:
4ft and 3ft
Step-by-step explanation:
Real mural: 8ft by 15ft
Scale: 2ft by 5ft
Length and width of scale drawing> 8t / 2ft= 4ft (length
>15ft/ 5ft= 3ft(width)
ANSWER 4FT BY 3FT
AB=a just incase it cant be seen
Answer:
Below
Step-by-step explanation:
● vector ED:
Vector ED = a since the Vectors ED and AB are colinear and have the same sense.
● vector CD:
Vector CD = -b since the vectors FA and CD are colinear but have opposite senses.
● Vector FB:
Vector FB = a+b
Using Chasles relation, we can express FB as the sum of the Vectors FA and AB.
● Vector BE:
Vector BE= -2b
The vectors BE and FA are colinear but have different senses. BE has a magnitude that is the double of FA's one.
●Vector EF:
Again using Chasles, relation we can express EF as the sum of the vectors FA and AB.
Vector EF= a+b
● Vector CF:
Vectors CF and AB are colinear but have opposite senses. The distance CF is the double of AB.
So: Vector CF=a+b
andy is making floor plans for a tree house using a scale 1in to 2ft he wants to make the floor of the tree house have a length of 8ft. how many inches should he show for this distance on his floor plan
Answer:
Andy should represent the 8 feet long floor on the floor plan with a dimension of 4 inches
Step-by-step explanation:
The scale of the tree house plan is given as 1 in. to 2 ft,
Therefore we have a scale of 1/2 in. of the floor plane is equivalent to 1 ft. in actual dimensions
Given that Andy wants the floor to make the tree house floor to have a length of 8 ft., let the dimension of the floor plan of the house floor be x, we have;
[tex]\dfrac{\frac{1}{2} \ inches \ plan }{1 \ feet \ actual} =\dfrac{x \ inches \ plan}{8 \ feet \ actual}[/tex]
[tex]x \ inches \ plan =\dfrac{\frac{1}{2} \ inches \ plan }{1 \ feet \ actual} \times 8 \ feet \ actual = 4 \ inches[/tex]
Therefore, Andy should represent the 8 feet long floor on the floor plan with a dimension of 4 inches.
Adam has the difference between two-thirds of bretts book and two thirds of charlies books.If brett has 72 books and charlie has 72 books how many books does adam have
Answer:
48
Step-by-step explanation:
Adam has 2/3 of books that brett and charlie have : 2/3 of 72 wich is 48
Which statement compares the two numbers correctly? (2 points) Fifty-seven thousand, eight hundred and twenty-two hundredths ________ fifty-seven thousand eight hundred and three tenths Select one: a. Fifty-seven thousand eight hundred and twenty-two hundredths < fifty-seven thousand eight hundred and three tenths b. Fifty-seven thousand eight hundred and twenty-two hundredths > fifty-seven thousand eight hundred and three tenths c. Fifty-seven thousand nine hundred and three tenths > fifty-seven thousand eight hundred and twenty-two hundredths d. Fifty-seven thousand eight hundred and three tenths = fifty-seven thousand eight hundred and twenty-two hundredths
Answer:
a. Fifty-seven thousand eight hundred and twenty-two hundredths < fifty-seven thousand eight hundred and three tenths
Step-by-step explanation:
In numbers it is written in the order
Th H Tens Units Decimal Tenths Hundredths Thousandths
57 8 0 0 . 0 22
57 8 0 0 . 3
This could be simply explained that the if we make compare the numbers before the decimal they are same but after the decimal we can analyze
3/10 and 22/100
Converting them into decimals we get
0.3 and 0.22
therefore 0.3 is greater than 0.22
so Choice a is only correct .
a. Fifty-seven thousand eight hundred and twenty-two hundredths < fifty-seven thousand eight hundred and three tenths
Answer: The person above me is correct
explanation:
I said that because i don't want no one saying that i copied them
A library building is in the shape of a rectangle. Its floor has a length of (3x + 5) meters and a width of (5x − 1) meters. The expression below represents the area of the floor of the building in square meters: (3x + 5)(5x − 1) Which of the following simplified expressions represents the area of the floor of the library building in square meters? (5 points)
Answer:
(16x + 8)m²
Step-by-step explanation:
area of a rectangle = 2length + 2width
=2(3x + 5) + 2(5x-1)
=6x + 10 + 10x - 2
=(16x + 8)m²
33. Find the area of the parallelogram above?
Answer:
120
Step 1: Value of triangle's sides
First, we need to find out the height of the parallelogram, since the equation to find the area is b * h. To find the height, we must use the Pythagorean Theorem to find the sides of the triangle on the right. Since the base is 15 cm, we know that the top is also 15 cm, so we subtract 9 from 15 to get 6. One of the sides of the triangle is 6, and the hypotenuse (longest side of the triangle) is 10.
Step 2: Pythagorean Theorem
[tex]a^2+b^2=c^2[/tex]. This is the equation we always use if we want to find the sides of a right triangle. Here, a = 6 and c = 10. In the formula, a and c needs to be squared to find b.
[tex]10^2 (10*10)=100\\6^2 (6*6)=36\\\\c^2=100\\a^2=36[/tex]
Now, we have to subtract c^2 from a^2 to get b^2.
[tex]100-36=b^2\\100-36=64\\b^2=64[/tex]
Finally, we find the square of 64 and that is 8.
8 is our height.
Step 3: Finding the area
This last step is really simple. to find the area of this parallelogram, we just have to multiply the height (8) by the base (15).
[tex]8*15=120\\Area=120[/tex]
Our area is 120.
Answer:
120
Step-by-step explanation:
at first you need to calculate h Using the Pythagorean relation
10
[tex]10 { }^{2} = 6 {}^{2} + x {}^{2} [/tex]
[tex] x {}^{2} = 100 - 36 = 64[/tex]
[tex]x = 8 = h[/tex]
area=
[tex]8 \times 15 = 120[/tex]
Vladimir builds 3 legged stools and 4 legged tables. Last month he used 72 legs to build 3 more stools than tables. How many stools and how many tables did he build?
Answer:
9 tables
12 stools
Step-by-step explanation:
x= number of tables
x+3= number of stools
4x+3(x+3)=72
4x+3x+9=72
4x+3x=72-9
7x=63
x=9
So he built 9 tables and 12 stools
(9x4=36, 3X12=36, 36+36=72) CHECK
Solve the equation 1) 4.3^x+1 = 27+9^x
2) 3^x+5= 3^x+3+8/3
Answer:
Step-by-step explanation:
4*3^x+1=27+(3^2)^x
(3^2)^x=(3^x)^2
3^x=t
4t+1=27+t^2
t^2-4t+27-1=0
t^2-4t+26=0
delta=4^2-4*1*26=16-84=-68<0
the equation has not real solutions
what is acceleration produced by a force of 12 newton exerted on an object of mass 3kg
please use latex because I have to copy this
Answer:
[tex] 4 ms^{-2} [/tex]
Step-by-step explanation:
[tex] \because Force = mass \times acceleration \\
\therefore Acceleration = \frac {Force} {mass} \\
= \frac {12}{3} \\
= 4 ms^{-2} [/tex]
Step-by-step explanation:
[tex]as \: we \: know \: that \: force = mass \times accerlation \: [/tex]
[tex]so \: it \: means \: accerltion = \frac{mass}{force} [/tex]
[tex]so \: put \: the \: values [/tex]
[tex]acceleration = \frac{12}{3} [/tex]
[tex]after \: solving \: it \: we \: get \: the \: answer \: 4[/tex]
a = 4 is ur answerso the acceleration is 4 m/s.^2
Hope it helps u
You buy 3 pairs of pants for $19 each and 5 shirts for $10 each. Which of the following is a good estimation of how much money you spent?
Answer
19 X 3= 57
10 X 5= 10
57 + 10=
Therefore your answer is $67
Hope this helps! （づ￣3￣）づ╭❤～
Step-by-step explanation:
PLEASE HELP ASAP!! (: One link below. I WILL NAME BRAINLIEST!! 30 points (: Make sure to show ur work. One who shows work and gets correct, gets title of Brainliest!! (:
Answer:
1) 502.65"
2) 367.57 yd
3) 141.37'
4) 471.24'
Step-by-step explanation:
Formula: volume of a cylinder = πr²h
1) v= πr²h 2) v= πr²h
v= π x 4² x 10 v= π x 3² x 13
v= 502.65" v= 367.57 yd
3) v= πr²h 4) v= πr²h
v= π x 3² x 5 v= π x 5² x 6
v= 141.37' v= 471.24'
I hope this helped
Answer:
1. 502.5 [tex]in^{3}[/tex]
2. 367.38 [tex]yd^{3}[/tex]
3. 141.3 [tex]cm^{3}[/tex]
4. 471 [tex]cm^{3}[/tex]
Step-by-step explanation:
The solution to finding the volume of a cylinder is: [tex]\pi r^{2} h[/tex].
They give us a diameter but no radius. So, we just need to divide the diameter, 8, by two. That leaves us with a radius of 4.
We can also see that the height of the first cylinder is 10. That gives us all our information to find the volume!
3.14 · [tex]4^{2}[/tex] · 10 = 502.5
So, the volume of the first cylinder is 502.5[tex]in^{3}[/tex]
This, hopefully explains how to find the volume of the rest of the cylinders!! :)
Hope this helps!! <3
Web site W receives orders for its products every day. What is the standard deviation of the numbers of orders that Web site W received daily for the past 5 days?(1) The average (arithmetic mean) number of orders that Web site W received per day for the past 5 days is equal to the greatest of the numbers of orders that Web site W received daily for the past 5 days.(2) The range of the numbers of orders that Web site W received daily for the past 5 days is equal to 0.
Answer:
The standard deviation is zero
Step-by-step explanation:
Given that:
Web site W receives orders for its products every day.
What is the standard deviation of the numbers of orders that Web site W received daily for the past 5 days?
If :
(1) The average (arithmetic mean) number of orders that Web site W received per day for the past 5 days is equal to the greatest of the numbers of orders that Web site W received daily for the past 5 days.
SO, IF the average (arithmetic mean) is greatest , therefore, this implies that the number of orders per day remains the same. Then the standard deviation will be zero because the set of values for the number of orders per day for the five days is the same.( i.e contains identical numbers).
.(2) The range of the numbers of orders that Web site W received daily for the past 5 days is equal to 0.
The range is the difference between the greatest value and the smallest value.
i.e
greatest value - smallest value = 0
greatest value = smallest value
Therefore , the range is zero and the standard deviation will remain the same (zero)
Please explain and help
Answer:
y=-x+2
Step-by-step explanation:
it is linear equation y=mx+b two points (0,2),(1,1)
find m ( slope)=y2-y1/x2-x1 ⇒1-2/1-0⇒-1
y=mx+b choosea point from graph :(0,2)\when x =0 the y=b=2
y=-x+2
In comparing two distributions, which attribute would you not compare?
A. Shape
B. Center
C. Marginal frequency
D. Spread
Answer:
The correct option is;
C. Marginal frequency
Step-by-step explanation:
The objective of comparison of two distributions is to check the significant difference from each other
The general measures used to compare the difference between distributions are the measures of centers such as the mean, the measures of spread such as the standard deviation and the shape of the compared distribution curves
Marginal frequencies are the values found in the total row and total column portion of a two way frequency distribution table
The marginal frequency is used to calculate the marginal relative frequency
The values of the marginal frequency, which is a sum, does not characterize the details of a distribution to a large extent.
Answer:
C. Marginal frequency
Step-by-step explanation:
pls help with mathmatics
Answer:
answer is B . in order to make the triangles congruent the angle A and angle A'
Answer:
a and b
Step-by-step explanation:
A square playground has sides that each measure 120 feet in length.
On a scale drawing, - inch represents 5 feet on the playground.
How long is a side of this playground on the scale drawing?
Answer:
24 inches
Step-by-step explanation:
So, 1 inch = 5 feet
then, x inch = 120 feet
Let's represent this as a ratio.
1 inch / x inch = 5 feet / 120 feet
1 inch / x inch = 1 feet /24 feet
x = 24 inches
Simplify
2x + 5x^3 + 3x - 4x^3
Answer:
x³ + 5x
Step-by-step explanation:
2x+5x3+3x−4x3
=2x+5x3+3x+−4x3
Combine Like Terms:
=2x+5x3+3x+−4x3
=(5x3+−4x3)+(2x+3x)
=x3+5x
Answer:
[tex]\large \boxed{x^3+5x}[/tex]
Step-by-step explanation:
[tex]2x + 5x^3 + 3x - 4x^3[/tex]
[tex]\sf Group \ like \ terms.[/tex]
[tex]5x^3 - 4x^3+2x+3x[/tex]
[tex]\sf Combine \ like \ terms.[/tex]
[tex]x^3+5x[/tex]
ANYONE PLEASE HEEEEEEELLLLLLLPPPPPP!!!!! WILL GIVE BRAINLIEST!!!
Question 4(Multiple Choice Worth 1 points) (06.04 LC) Choose the correct simplification of the expression −3x2(5x − 4x2 − 6). −7x4 + 2x3 − 9x2 12x4 − 15x3 + 18x2 12x4 + 15x3 + 18x2 −12x4 + 15x3 − 18x2
Answer:
12x⁴ - 15x³ + 18x²
Step-by-step explanation:
1. distribute -3x²
-3x² • 5x = -15x³
-3x² • -4x² = 12x⁴
-3x² • -6 = 18x²
2. combine terms and put in descending order (standard form)
12x⁴ - 15x³ + 18x²
Answer:
12x⁴ - 15x³ + 18x²
Step-by-step explanation:
1. distribute -3x²
-3x² • 5x = -15x³
-3x² • -4x² = 12x⁴
-3x² • -6 = 18x²
2. combine terms and put in descending order (standard form)
12x⁴ - 15x³ + 18x² correct answer would be this
