Using the sine ratio, the value of x is: A. 26°.
How to Apply the Sine Ratio?Sine ratio is:
Sin ∅ = opposite side length / hypotenuse length of a right angle.
Given the following:
Reference angle (∅) = x
Opposite side length = 11
Hypotenuse side length = 25
Plug in the values
Sin x = 11/25
x = sin^(-1)(11/25)
x ≈ 26°
Thus, using the sine ratio, the value of x is: A. 26°
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I’m the figure below F is between E and G and G is between F and H if FG=5 and EG=11 and FH=8 find EH
Answer:ur mom
Step-by-step explanation:
Here is a graph of the function f.
Use the graph to find the
following.
If there is more than one answer, separate them with commas.
(a) All values at which / has a local maximum : .
(b) All local maximum values of
The required solution of the following are,
(a) All values at which / has a local maximum: -2 and 4
(b) All local maximum values of 3 and 2
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
looking over the curve there are two maxima
first at (-2,3) and the second is at (4, 2)
So the local maximum is at x = -2 , 4
And maximum is y = 3 ,2
Thus, the required solution of the following are,
(a) All values at which / has a local maximum: -2 and 4
(b) All local maximum values of 3 and 2.
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Multiply and simplify. 6√4 x² . 2√9 x² y²
Solving the problem by multiplying and simplifying we have as a result 72x⁴y²
What is simplification?Simplification is a process of reducing terms to expressions, which do not generate changes or values.
What is multiplication?Multiplication is also known as product, and it is a mathematical operation of a successive sum, this operation consists of adding a number a certain number of times:
a x b the number "a" will be added "b" times.
The algebraic expression that we must simplify to its minimum expression is:
6√4 x² . 2√9 x² y² we can see that it is an expression that has two variables
6×2x² × 2×3x²y²
12x² × 6x²y² ; multiply power of equal base
72x⁴y²
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FCP#1. If your teacher has three dogs named Gabby, Ranger, and Rico, how many different ways can the dogs be lined up for their
photograph?
If teacher has three dogs named Gabby, Ranger, and Rico then in 6 different ways can the dogs be lined up for their photograph.
What is Permutation?
The term permutation refers to a mathematical calculation of the number of ways a particular set can be arranged.
If teacher has three dogs named Gabby, Ranger, and Rico.
We can lineup 3 dogs in 3! ways.
3!=3*2=6 different way.
Gabby, Ranger, Rico
Ranger, Rico, Gabby
Rico, Gabby, Ranger
Ranger, Gabby, Rico
Rico, Ranger, Gabby
Gabby, Rico, Ranger.
Therefore in 6 different ways can the dogs be lined up for their
photograph.
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In the past month, Josh rented 6 video games and 4 DVDs. The rental price for each video game was $2.60. The rental price for each DVD was $3.80. What is the total amount that Josh spent on video game and DVD rentals in the past month?
Answer:
$30.80
Step-by-step explanation:
v = the price of each video game = 2.6
d = the price of each DVD = 3.8
x = the total amount Josh spent
6v + 4d = x
Substitute the values for v and d into the equation.
6 (2.6) + 4 (3.8) = x
15.6 + 15.2 = 30.8
Josh spent $30.80 on video game and DVD rentals in the past month.
first to answer gets +10 points and brainliest need help please
The dimensions of the shape allow us to find the length of PR to be 19.8 units.
What is the length of PR?The shape that is given is an equilateral triangle. This allows us to know that all the sides of the shape are equal.
This means that PR and QR are the same:
PR = QR
Equate both formulas as:
2n + 9 = 7n - 18
You can then solve for the value of n:
7n - 2n = 18 + 9
5n = 27
n = 5.4
The length of PR is therefore:
= 2n + 9
= 2 (5.4) + 9
= 19.8 units
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Thirteen less than triple n is negative ten
Answer:
n = 1
Step-by-step explanation:
triple n is 3 times n = 3n , then
3n - 13 = - 10 ( add 13 to both sides )
3n = 3 ( divide both sides by 3 )
n = 1
Reasoning At a butcher shop, Hilda
bought beef and pork. She left with
18 8/25 pounds of meat. Express the
number of pounds of pork she bought
using a decimal.
Reasoning At a butcher shop, Hilda bought beef and pork. She left with 18 8/25 pounds of meat. Express the number of pounds of pork she bought using a decimal.
Hilda bought 18.32 pounds of pork.
Hilda purchased 18.32 pounds of pork, which is a terminating decimal, according to the conversion of an improper fraction to a decimal.
She left behind, in pounds, the following amount of meat:
[tex]18 \frac{8}{25}[/tex]
Now we have to convert the improper fraction to decimal, which is made adding the decimal fraction to the integer part, that is:
[tex]18 \frac{8}{25} =18+\frac{8}{25} = 18+0.32 = 18.32[/tex]
Therefore, the number of pounds of pork Hilda bought using a decimal number is 18.32.
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Simplify each trigonometric expression. 1-cos² θ
Answer:
[tex]\sin ^2\left(\theta\right)[/tex]
Step-by-step explanation:
Pythagorean identity
[tex]1=\cos ^2\left(x\right)+\sin ^2\left(x\right)\\1-\cos ^2\left(x\right)=\sin ^2\left(x\right)\\=\sin ^2\left(\theta\right)[/tex]
solve each inequality.
[tex]| |3x-1|+5| < 1[/tex]
Solving the inequality for the absolute value of x gives x < 1
What are inequalities?
Inequalities are simply defined as mathematical expressions showing comparison between two equations that are unequal.
They are known for explaining the relationship between values that are not equal to each other.
It is also important to note that absolute values of numbers holds that no number carries the negative sign
It is denoted with the symbol ' | | '
Given the expression;
| | 3x - 1 | + 5 | < 1
expand the bracket
3x - 1 + 5 < 1
Take absolute value
3x - 1 + 5 < 1
collect like terms
3x - 1 < 1 - 5
3x < -4
3x < - 4 + 1
3x < - 3
Make 'x' the subject
x < -3/ 3
x < - 1
x < 1
Thus, solving the inequality for the absolute value of x gives x < 1
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Dylan prepared 49 kilograms of dough after working 7 hours. How many hours did Dylan work if he prepared 70 kilograms of dough? Solve using unit rates.
Answer:
10 hours
Step-by-step explanation:
49kilograms/7hours = 7 kilograms per hour
70 kilograms ÷ 7 kilograms per hour = 10 hours
Math on the Spot The Hungarian club needs to earn at least from a bake sale to fund their Goulash Festival. They are selling croissants for each and loaves of French bread for each. Write a linear inequality to describe the situation and graph the solutions.
Answer:
2x +5y ≥ 175 is required inequality
Step-by-step explanation:
A vehicle travels 55 miles per hour and 20 miles per gallon.
a. Write an equation that represents the distance d (in miles) that the vehicle travels in t hours. Then write an equation that represents the distance d (in miles) that the vehicle travels using g gallons of gasoline.
b. Write an equation that relates g and t. Then solve the equation for g.
c. Thevehicletravelsfor6hours.Howmanygallons of gasoline does the vehicle use? How far does it travel? Explain.
Step-by-step explanation:
The distance d (in miles) you travel in a car is given by d=55t where t is the time (in hours)
The distance d (in miles) you travel in a car is given by d=20g where g is the number of gallons of gasoline the car uses.
1. Write an equation that relates g & t.
20g=55t20g=55t
2. Solving for g.
20g=55t20g=55t
=> g=\frac{55t}{20}g=
20
55t
Hence, g= 2.75tg=2.75t
3. You travel for six hours. How many gallons of gasoline does the car use
We will use this equation g= 2.75tg=2.75t to solve the question.
Putting t = 6
g= 2.75(6)g=2.75(6)
g = 16.5 gallons
4. How far do you travel?
We can use equation d=55td=55t here
d=55\times6=330d=55×6=330 miles
adding and subtracting polynomials
Answer:
1. 9x + 7
3. 7x + 1
5. 5x^2 + 3x
7. 8x + 8
Step-by-step explanation:
find x. pls asap
i need explanation as well
Answer:
7/5 or 1.4
Step-by-step explanation:
1. Cross multiply. 5(2x-1)= 3(3)
2. Simplify and add 5. 10x -5= 9. 10x = 14
3. Divide by 10. 10x/10 = 14/10
X= 14/10= 7/5 or 1.4
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f(x)=x^2+8x+6 what is the value of f (4)
Answer: the answer would be 54
Step-by-step explanation:
4 x 4 = 16
8 x 4 = 32
16 + 32 + 6 = 54
Meredith lives 24blocks from her friend's house. if she travels 1block every minute, how many minutes will it take her to reach her friend's house? what if she travels 2blocks every minute? show how you calculate each answer.
Answer:
1 block per minute: 24 minutes. 2 blocks per minute: 12 minutes.
Step-by-step explanation:
For the 2 blocks per minute one, it would just be 24/2 because she is going 2 blocks per minute, equaling 12.
mixing alcohol solutions a pharmacist needs to obtain a 70% alcohol solution. how many ounces of a 30% alcohol solution must be mixed with 40 ounces of an 80% alcohol solution to obtain a 70% alcohol solution? hint add x ounces of 30% solution to 40 ounces of 80% solution to get x 40 ounces of 70% solution.
10 Ounces of 30% alcohol solution must be mixed.
Let the amount of 30% solution to be added = x ounces
So , total solution is (40+x) ounces.
we know that 30%=0.30 , 80%=0.80 , 70%=0.70
According to the question
x ounces of 30% alcohol solution + 40 ounces of 80% alcohol solution = (40+x)ounces of 70% alcohol solution.
x*(0.30)+40(0.80)=(40+x)*0.70
0.30x+32=40*0.70+0.70x
0.30x+32=28+0.70x
Rearranging the terms we get
0.70x-0.30x=32-28
0.40x=4
x=4/0.40
x=10
Therefore , 10 ounces of 30% alcohol solution must be mixed with 40 ounces of an 80% alcohol solution to obtain a 70% alcohol solution.
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1
O What is the value of 6a + 9b?
Answer:
[tex]3(2a + 3b) [/tex]
Step-by-step explanation:
3×2a+3×3b
I need help, please help!
Answer:
d because every number power of zero is one ande the negative exponent defines to 1/that number
Jennifer states that the square root of any number is irrational. Explain why Jennifer is incorrect. PLEASE HURRY!!
Answer:
See explanation below
Step-by-step explanation:
A rational number is one that can be expressed as p/q where p and q are integers. An irrational number, of course, is just the opposite
Rational numbers example: 1/2, 5/6 2, 20/3, - 5/6 0, etc
Irrational numbers example: π, √2 , √3 etc
Basically the square root of a prime number is irrational
Thus √2, √7, √13 are all irrational numbers. They cannot be represented as a ratio of an integer to another integer
However, not all square roots are irrational number.
If the number is a perfect square then its square root will be a rational number
For example √36 is 6 which is a rational number (6/1)
√1 is 1 which is also a rational number
So Jennifer is incorrect in stating that the square root of any number is irrational
Solve the equation for the indicated variable. Ax+By=C; y
Answer:
y = (C-Ax)/B
Step-by-step explanation:
We first move Ax to the right by subtracting from both sides
Ax+By=C
Ax+By - Ax = C - Ax
By = C - Ax
Now we divide by B
y = (C - Ax)/B
note that it only works if B ≠ 0
Answer:
y = [tex]\frac{C-Ax}{B}[/tex]
Step-by-step explanation:
Ax + By = C ( subtract Ax from both sides )
By = C - Ax ( divide both sides by B )
y = [tex]\frac{C-Ax}{B}[/tex] (B ≠ 0 )
Write an expression for the perimeter of the figure below.
From the diagram shown, the algebraic expression representing the perimeter of the shape is 12x - 10
This is determined by substituting the values into the formula for perimeter.
How to determine the perimeterThe formula for determining the perimeter of an isosceles trapezoid is expressed as;
Perimeter = a + b + c + d
Note that none of the sides of an isosceles trapezoid are equal
Where;
a = xb = side length = 2x + 5c = side length = 3x + 2d = base length = 6x - 17Now, let's substitute the values into the formula for perimeter of an isosceles trapezoid
Perimeter = x + (2x + 5) + ( 3x + 2) + (6x - 17)
Now, expand the bracket
Perimeter = x + 2x + 5 + 3x + 2 + 6x - 17
collect like terms
We have;
Perimeter = x + 2x + 3x + 6x + 5 + 2 - 17
Add like terms
Perimeter = 12x + 7 - 17
Perimeter = 12x - 10
Thus, the algebraic expression representing the perimeter of the shape is 12x - 10
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Help! I know its simple but who is X in X-11=79
Answer:
x = 90
Step-by-step explanation:
x - 11 = 79 ( isolate x by adding 11 to both sides )
x = 79 + 11 = 90
Write each expression as a single logarithm. Identify any properties used. log 5-2 log x
According to the given statement The single form of the given logarithm log 5-2 log x is log₁₀(5/x²).
What is logarithm property?The features of log are utilized to expand (or compress) a single logarithm across numerous logarithms. A logarithm is simply another way of expressing exponents. Thus, logarithmic features are derived from exponentiation qualities.
According to the given data:log 5-2 log x
This can be written as:
log₁₀ (5) - 2log₁₀(x)
Apply log rule (b logₐ (c) = logₐ(cᵇ)):
2log₁₀(x) = log₁₀(x²)
= log₁₀(5) - log₁₀(x²)
Applying log rule (logₐ (b) - logₐ (c) = logₐ(c/b)):
log₁₀(5) - log₁₀(x²) = log₁₀(5/x²)
The single form of the given logarithm log 5-2 log x is log₁₀(5/x²).
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A small child weighs 60N. If mommy left him sitting on the top of stairs, which are 10 m high, how much energy does the child have?
The energy is 6000 joules.
What is Energy?The stored energy that depends upon the relative position of various parts of a system.
Given:
weight = 60N
height = 10 m
So, the energy is
Energy=mgh,
Energy =60*10*10
Energy =6000 joules
Hence, the energy is 6000 joules.
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a bull weighs 1,700 pounds. Is it more appropriate to express the bull's weight as 1,700 pounds or 2.72 x 10 to the 4th power onces? explain your reasoning
It is better to express the bull's weight as 1,700 pounds.
How to calculate the value?It should be noted that from the information given, the bull weighs 1,700 pounds.
It should be noted scientific notation isn't required in all situation.
In this case, it's better to express the bull's weight as 1,700 pounds. This aligns better with the weight.
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m∠PQS=(3x−3)° and m∠RQS=(x+19)°. Find the value of x.
The figure shows straight angle P Q R that consists of two smaller angles, P Q S and R Q S.
34
41
21
56
The value of x is 41 . Option B
How to determine the angleIt is important to note that angles on a straight line are known to be supplementary.
Supplementary angles are defined as angles that sum up to 180 degrees.
From the information given, we have that;
m∠PQS=(3x−3)° m∠RQS=(x+19)Since angles on a straight line sum up to 180 degrees, we have that;
m∠PQS + m∠RQS = 180°
Substitute the values into the equation
3x - 3 + x + 19 = 180°
collect like terms
4x = 180 - 16
4x = 164
Make 'x' the subject of formula
x = 164/4
x = 41
Thus, the value of x is 41 . Option B
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2. Read each question. Then write the letter of the correct answer on your paper.Solve the equation a x²+b x+c=0 for b .
(F) b=-c x-a x² (H) b=-(c x-a x²) (G) b=-c-a x² / x Ib=-(c-ax²)/x
Solution of the equation a x ² + b x + c = 0 for b is b = ( - c - a x ² ) / x
Given,
the polynomial to be solved
a x ² + b x + c = 0
Solving the equation for b implies that we get the value of b from the above given polynomial
We can solve the given polynomial a x ² + b x + c = 0 by rearranging the terms of the polynomial and taking the LHS as b and the RHS as a term consisting of a, c and x
a x ² + b x + c = 0
=> b x = - c - a x ²
=> b = ( - c - a x ² ) / x
This gives us the required answer. It matches with option G among the given multiple choices.
Therefore, we get the solution of the equation a x ² + b x + c = 0 for b as b = ( - c - a x ² ) / x
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A carpenter cuts a piece of lumber into two pieces. One piece is twice the size of the other.
If the smaller piece is 16 inches. How long was the whole piece of lumber before it was cut
Answer: 32
Step-by-step explanation: If the second piece is twice the size of tee smaller one then you’d want to multiply 16 by 2 or add 16+16 which would give you 32
Answer:
48
Step-by-step explanation:
16x2=32 32+16=48