Find the value of x. Round to
the nearest tenth.
Answer:
13.7
Step-by-step explanation:
x is the side of the triangle opposite the given angle. 47 is the hypotenuse of that triangle. The trig function that relates the opposite side and the hypotenuse is ...
Sin = Opposite/Hypotenuse
sin(17°) = x/47
x = 47·sin(17°) ≈ 13.7
The value of x is 13.7.
Why is the square root of a non perfect square always irrational number ?
Answer:
The square root of any prime number must be an irrational number. For example, because of this proof we can quickly determine that √3, √5, √7, or √11 are irrational numbers...
Answer:
Yes, unless X is a perfect square, sqrt(X) is irrational
Step-by-step explanation:
The proof where X= 2 is an example of the general proof: Supposesqrt(X) is rational, then there exists integers p and q such that (p/q)^2 = 2, we can cancel any common factors out of p and q so these are the simplest integers which satisfy the equation.
which equation has the same solution as x -12 = 40
Steps to solve:
x - 12 = 40
~Ad 12 to both sides
x = 52
Best of Luck!
Solve for x. Show steps.
1. 3x = 2x + 2
2. 3x + 5 = 4x + 1
3. 6x + 3 = 3x + 12
Step-by-step explanation:
3x = 2x + 23x - 2x = 2
x = 2
2. 3x + 5 = 4x + 1
4x - 3x = 5 - 1
x = 4
3. 6x + 3 = 3x + 12
6x - 3x = 12 - 3
3x = 9
x = 3
For the function f(x)=|4x−2|+10, evaluate f(−3).
Answer:
[tex]f(-3)=24[/tex]
Step-by-step explanation:
So we have the function:
[tex]f(x)=|4x-2|+10[/tex]
To find f(-3), substitute -3 for x:
[tex]f(-3)=|4(-3)-2|+10[/tex]
Multiply within the absolute value:
[tex]f(-3)=|-12-2|+10[/tex]
Subtract:
[tex]f(-3)=|-14|+10[/tex]
The absolute value of -14 is 14. Thus:
[tex]f(-3)=14+10[/tex]
Add:
[tex]f(-3)=24[/tex]
And we're done!
Any value that makes an equation true is a _____
Any value that makes an equation true is a 'solution of that equation'.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We know that;
If any number or value satisfy the given equation or makes an equation true is called solution of the given equation.
So, The complete sentence is,
Any value that makes an equation true is a ''solution of that equation.''
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I need help with math
Answer:
Sure what class (algebra, triginometry etc...) and do you have discord
Step-by-step explanation:
Suppose the height of the pyramid is 20 yards. What is the pyramid's volume?
Answer : The correct option is, (B) 1500 cubic yards.
Step-by-step explanation :
Formula used to calculate the volume of square pyramid is:
[tex]V=\frac{a^2\times h}{3}[/tex]
where,
V = volume of pyramid
a = base edge of pyramid
h = height of pyramid
Given:
Base edge of pyramid = 15 yards
Height of pyramid = 20 yards
Now putting all the given values in the above formula, we get:
[tex]V=\frac{a^2\times h}{3}[/tex]
[tex]V=\frac{(15\text{ yrads})^2\times (20\text{ yards})}{3}[/tex]
[tex]V=1500\text{ yards}^3[/tex]
Therefore, the volume of pyramid is 1500 cubic yards.
Answer:
(B) 1500 cubic yards.
Step-by-step explanation:
took usatestprep
what is the answer to 8x²+7y²-3x²+5y²=12
Answer:
-5x/12y
Step-by-step explanation:
Find (2n - 3)(n + 4).
Answer:
look at the picture to get the solution
Hope it helps
At a farmers' market Saturday, 5/8 of the vegetables sold were green. Of these, 3/4 were string beans. What fraction of the vegetables sold were string bean? (write your answer as a fraction)
Answer: 15/32
Step-by-step explanation:
The data that we have is:
5/8 of the vegetable sold where green.
of theses 5/8, 3/4 were string beans.
Then the 3/4 is applied to the 5/8 of green vegetables.
Then the fraction (of the total number of vegetables) that were string beans was:
F = (3/4)*(5/8) = (3*5)/(4*8) = 15/32
Three times the sum of a number and 9 and 12. Find the number
Answer: 324
Step-by-step explanation: Firstly, multiply 9x12. And that is 108. Since in the problem it says "Three times the sum" you would multiply 108 by three and get 324.
Please find the value of x in the diagram. Thank you!
hope it helps
comment if u have any questions
The area of a square is 400 square units. Select all the statements that would be true if the length of each side of the square increased by one unit.
A-The area of the square would be a rational number.
B-The area of the square would be an irrational number
C-Each side length would be a perfect square.
D-The area of the square would be a perfect square.d
E -The area of the square would be a nonterminating, nonrepeating decimal.
PLEASE ANSWER ASAP!!!! WILL GIVE BRAINLIEST!
Answer:
A and D
Step-by-step explanation:
Given that the area of a square = 400 units² = s²
Where s is one side length of the square.
It means that the side length (s) = √400 = 20
If the length of each side length increase by 1 units, new side length = 21 units
Area of new square = 21² = 441
The following statements would be true if the side length was increased by 1 units:
A. "The area of the square would be a rational number"
441 is a rational number, because a rational number is a quotient of two integers.
441 and 1 are two integers. Their quotient = 441. I.e. 441 ÷ 1 = 441
D. "The area of the square would be a perfect square".
A number is considered a perfect square if it can be expressed as a product of two equal integers.
441 can be expressed as 21*21
Answ
Step-by-step explanation:
Factor 3xy+21x+9 completely
- 3x(y+7x+6)
- 3(xy+7x+3)
- Prime (Not Factorable)
- xy+2x+3
Answer:
Hence the second option is the correct answerStep-by-step explanation:
In this problem we are required to factor out the given terms as stated in the expression, what is obtainable is that we look for terms(greatest terms) that are common to all the terms in the expression and factor it out.
here is a way to do it
given the following expression
[tex]3xy+21x+9[/tex]
From the expression above we can see that 3 is common to all the terms of the expression so that we have
[tex]3(xy+7x+3)[/tex]
hence the second option is the correct answer
Margaret drove to a business appointment at 90 mph. Her average speed on the return trip was 80 mph. The return trip took 1/4
hr longer because of heavy traffic. How far did she travel to the appointment?
Distance = speed x time
Let the time to the appointment = x
The time home would be x + 1/4 hour
set up an equation you have 90x = 80(x + 1/4)
Simplify:
90x = 80x + 20
Subtract 80x from both sides:
10x = 20
Divide both sides by 10:
x = 2 hours
Distance = 90 x 2 = 180 miles
y = 3x - 2)
what is the slope of this equation
Answer:
The slope is 3.
Step-by-step explanation:
So we have the equation:
[tex]y=3x-2[/tex]
This is in the slope-intercept form, where:
[tex]y=mx+b[/tex]
Here, m is the slope and b is the y-intercept.
From the original equation, m is 3 and b is -2.
In other words, our slope is 3.
So, the slope of the equation is 3.
And we're done!
How to find The point midway
Step-by-step explanation:
The Midpoint Formula works exactly the same way. If you need to find the point that is exactly halfway between two given points, just average the x-values and the y-values.
Answer:
Assuming you're asking how to find the mid-point given two end-points. A really simple way is the take the two end-points, add the x coordinates and the y coordinates and divide both by 2.
Evaluate the expression 4/5=3/4=
Answer:
4/5 and 3/4 are not the same, so maybe you should write Not Defined or something?
Step-by-step explanation:
Answer:
31/20
Step-by-step explanation:
Get a common denominator for the numbers:
4/5 = 16/20
3/4 = 15/20
4/5+3/4 = 16/20+15/20 = 31/20
Simplify: 3 · 3^2 + 8 ÷ 2 − (4 + 3)
Answer:
24
Step-by-step explanation:
3^3+4-7
27+4-7
24
The value after simplifying the expression 3² + 8 ÷ 2 - (4 + 3) is 6 by using PEMDAS rule.
To simplify the expression 3² + 8 ÷ 2 - (4 + 3), follow the order of operations (PEMDAS/BODMAS):
P - Parentheses first
E - Exponents (i.e., powers and square roots, etc.)
MD - Multiplication and Division (left to right)
AS - Addition and Subtraction (left to right)
Start with the exponent:
3² = 3 × 3 = 9.
Next, perform the division:
8 ÷ 2 = 4.
Now, deal with the parentheses:
(4 + 3) = 7.
Finally, perform the addition and subtraction from left to right:
9 + 4 - 7
= 6.
So, the simplified expression is 6.
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What is the difference between a tax credit and a tax deduction?
a. A tax credit represents money owed to you, while a tax deduction represents money you owe.
b. A tax credit reduces the amount of money you must pay, while a tax deduction reduces your taxable income.
c. A tax credit is owed money that collects interest, while a tax deduction is money that you do not have to pay.
d. A tax credit occurs if you underpaid during the year, and a tax deduction occurs if you overpaid.
It is B
The difference between tax credit and a tax deduction is that- a tax credit reduces the amount of money you must pay, while a tax deduction reduces your taxable income.
What is Tax?
A financial charge that is imposed on a taxpayer in order to fund government spending and public expenditures is called tax. It is imposed by a governmental organization. It is a compulsory charge.
Given is tax credit and a tax deduction.
Tax credits and a tax deductions are same in a way that they will decrease what you pay in taxes. However, the method in which each of them work is quite different. Tax deductions lower your taxable income and will reduce what you'll pay in taxes, while tax credits reduce your tax bill dollar for dollar and may even increase your refund.
Therefore, the difference between tax credit and a tax deduction is that- a tax credit reduces the amount of money you must pay, while a tax deduction reduces your taxable income.
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Answer: B
Step-by-step explanation:
trust
As of mid-2016, the world's population was about 7.4 billion people. The population of Country A was 226 million. In mid-2016, what percent of the world's population was the Country A population? Round your answer as a percentage to one decimal place.
Answer:
The percentage of country A population to the world population
= 3.05%
Step-by-step explanation:
Country A population as of 2016
= 226 million
= 226000000
The world population as of 2016
= 7.4 billion
= 7400000000
The percentage of country A population to the world population
= Country A population /The world population
The percentage of country A population to the world population
= 226000000/7400000000
The percentage of country A population to the world population
= 0.03054
Now multiplying by 100
= 3.05%
The percentage of country A population to the world population is 3.05%
Given that,
As of mid-2016, the world's population was about 7.4 billion people. The population of Country A was 226 million.Based on the above information, the calculation is as follows:
[tex]= 226000000\div 7400000000[/tex]
= 0.03054
= 3.05%
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Order from least to greatest.
3.5, -2.1, square root of 9, -7/2, and square root of 5.
Answer:
-7/2,-2.1,√5, √9, 3.5Step-by-step explanation:
The problem statements needs to be properly formatted
3.5, -2.1, √ 9, -7/2, and√5.
let us find all square roots given in the list
√ 9= 3
√5= 2.23
hence we have 3.5, -2.1, 3, -7/2, and 2.23.
Also let us convert all fractions to decimal numbers
-7/2= -3.5
3.5, -2.1, 3, -3.5 and 2.23.
from least to greatest we have
-3.5,-2.1,2,2.23,3,3.5
or
3.5, -2.1, √ 9, -7/2, and√5.
-7/2,-2.1,√5, √9, 3.5
Solve for :
9x - 3 - 8x = 7 - X
A. X=-7
B. x = -2
C. X=4
D. x= 5
pls help me my grade is depending on it
Answer:
d. x = 5
Step-by-step explanation:
Solve for x:
x - 3 = 7 - x
Hint: | Move terms with x to the left hand side.
Add x to both sides:
x + x - 3 = (x - x) + 7
Hint: | Look for the difference of two identical terms.
x - x = 0:
x + x - 3 = 7
Hint: | Add like terms in x + x - 3.
x + x = 2 x:
2 x - 3 = 7
Hint: | Isolate terms with x to the left hand side.
Add 3 to both sides:
2 x + (3 - 3) = 3 + 7
Hint: | Look for the difference of two identical terms.
3 - 3 = 0:
2 x = 7 + 3
Hint: | Evaluate 7 + 3.
7 + 3 = 10:
2 x = 10
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 2 x = 10 by 2:
(2 x)/2 = 10/2
Hint: | Any nonzero number divided by itself is one.
2/2 = 1:
x = 10/2
Hint: | Reduce 10/2 to lowest terms. Start by finding the GCD of 10 and 2.
The gcd of 10 and 2 is 2, so 10/2 = (2×5)/(2×1) = 2/2×5 = 5:
Answer: x = 5
Find the most general antiderivative or indefinite integral. ∫ 9x √13 dx = ____________.
Answer:
[tex]\frac{9\sqrt{13} }{2}[/tex] [x²] + C
Step-by-step explanation:
Required:
indefinite integral of ∫ 9x √13 dx
To solve this, follow these steps:
(i) Place the constant values 9 and √13, at the front of the integral
9√13 ∫x dx
(ii) Now find the integral of x with respect to x by applying the power rule
9√13 [[tex]\frac{x^2}{2}[/tex]] + C
[tex]\frac{9\sqrt{13} }{2}[/tex] [x²] + C [Where C is any constant]
Therefore the indefinite integral of the given expression is [tex]\frac{9\sqrt{13} }{2}[/tex] [x²] + C
Right angle FCD intersects Line A B and Ray C E at point C. AngleFCE is congruent to AngleECD. AngleECD is complementary to AngleDCB. A horizontal line has points A, C, B. Right angle F C D intersects the line at point C. A line extends from point C vertically to point E. Angle A C F is 45 degrees and angle F C D is 90 degrees. Which statement is true about AngleDCB and AngleACF? They are congruent and complementary. They are congruent and supplementary. They are complementary but not necessarily congruent. They are supplementary but not necessarily congruent.
Answer:
A: They are congruent and complementary.
Step-by-step explanation:
Just took the test hope this helps :D
Answer:
A
Step-by-step explanation:
it was correct on edge2020 so
(shrug)
5/4÷1/3 please help
Answer:
3.75 Or 15/4
Answer:
15/4 or 3.75
Step-by-step explanation:
[tex]\frac{5}{4} : \frac{1}{3} = \frac{5}{4} . 3 = \frac{5 . 3}{4} = \frac{15}{4}[/tex]
k+a=500
how do i get k alone on one side of the equation ?
Answer:
k = 500 - a
Step-by-step explanation:
[tex]k + a = 500[/tex]
As we need "k" alone in one side of eqn. , we need to substract "a" on both the sides of the eqn. so that we can cancel "a" which on the left side.
[tex]k + a - a = 500 - a[/tex]
[tex] = > k = 500 - a[/tex]
Brayden is simplifying the expression 4n – (n – 3)2. He begins by distributing the negative to the terms inside the parentheses. What should he have done instead? combine like terms square the binomial cube the binomial rewrite the expression as a fraction
Answer: C
Square the binomial
The Simplification of the given expression : [tex]10n -n ^2 - 9[/tex]
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
Brayden wants to simplify the given expression;
[tex]4n - (n -3)^2[/tex]
He begins by distributing the negative to the terms inside the parentheses. This is a wrong approach to simplify the given expression.
He should have done the following steps;
First square the term, then distribute the negative sign and then combine the like terms.
[tex]4n - (n -3)^2[/tex]
Simplification of the given expression:
[tex]4n - (n ^2 - 6n + 9)\\\\4n -n ^2 + 6n - 9\\\\10n -n ^2 - 9[/tex]
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I NEED HELP PLEASE WITH PART 2, THANKS!
Steps to solve:
-6w - 8 + 15w = 2w - 8 + 7w
~Combine like terms
9w - 8 = 9w - 8
~Add 8 to both sides
9w = 9w
~Divide 9 to both sides
0 = 0
All real numbers are solutions.
Set builder notation: {x | R}
Best of Luck!