Answer:
[tex] \sin(x) = \frac{a}{b} \\ \sin(90 - x) = \sin(90) \cos(x) - \cos(90) \sin(x) \\ \sin(90 - x) = \cos(x) \\ { \sin(x) }^{2} + { \cos(x) }^{2} = 1 \\ { \cos(x) }^{2} = 1 - {( \frac{a}{b})}^{2} = \frac{ {b}^{2} - {a}^{2} }{ {b}^{2} } \\ \cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ \sqrt{ {b}^{2} } } \\ \boxed{ \sin(90 - x) =\cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ b} } \\ [/tex]
The value equal to the given trigonometric expression sin(90°-x) is √(b²-a²)/b.
Given that, sinx=a/b.
We know that, sinθ=Opposite/Hypotenuse
Here, Opposite = a and Hypotenuse = b
Let the adjacent side be x.
Here, x=√(b²-a²)
Given that, sin(90°-x) = cosx
Now, cosx=x/b
cosx=√(b²-a²)/b
Therefore, the value equal to the given trigonometric expression sin(90°-x) is √(b²-a²)/b.
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is 18/3 an irrational number
Answer:
Yes it is irrational
Step-by-step explanation:
Hope this helps
The number 18/3 is 6 which is not an irrational number.
What is an irrational number?An irrational number, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of√2.
here, we have,
18/3
= 6
So, its not an irrational number.
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The graph of the equation 2x-3y = 7 is a line. If a point on this line has an x-coordinate of 10, what
is its y-coordinate?
Answer:
y = 13/3
Step-by-step explanation:
First input 10 as our x into the equation. So our new equation is 2(10) - 3y=7.
Once you simplify your equation would be 20 - 3y = 7. Subtract 20 from both sides. New equation is -3y = -13. Divide each side by -3. Your answer for y is 13/3.
plz help me help me help me
Answer:
Step-by-step explanation: 16 is for the apple juice for when the orange juice is 8 since orange juice is half of the apple juice. For the last one the apple juice is 32 and the orange juice is 16
find the volume of a cube with the given sides length. 1/5b^3
Answer:
[tex]\sf \dfrac{b^9}{125}[/tex]
Step-by-step explanation:
We need to find out the volume of cube with the given side length . The side of the cube is ,
[tex]\sf\longrightarrow Side =\dfrac{1}{5}b^3[/tex]
Now as we know that the volume of cube is ,
[tex]\sf\longrightarrow Volume = side^3[/tex]
Substitute the given value ,
[tex]\sf\longrightarrow Volume =\Bigg(\dfrac{1}{5}b^3\Bigg)^3\\\\\sf\longrightarrow \boxed{\red{\sf Volume = \dfrac{b^9}{125}}}[/tex]
The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width, in units, of the rectangle?
Answer:
Step-by-step explanation:12-4=8
pls help im really bad at math no links pls
Answer:
[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]-\frac{5}{6} +\frac{6}{18}[/tex]
[tex]-\frac{5}{6} +\frac{2}{6}[/tex] reduced
[tex]\frac{-5+2}{6}[/tex] transformed the expression to make it easier
[tex]-\frac{3}{6}[/tex] add
[tex]-\frac{1}{2}[/tex] reduce
-2x + 3y - 4 =0
Find the x-intercept and y-intercept of the line
Answer:
Step-by-step explanation:
To find the x-intercept, set y = 0 and solve for x.
-2x + 3y - 4 = 0
-2x + 3(0) - 4 = 0
-2x + 0 - 4 = 0
-2x - 4 = 0
-2x = 4
x = 4/-2
x = -2 The x-intercept is -2
To find the y-intercept, set x = 0 and solve for y.
-2x + 3y - 4 = 0
-2(0) + 3y - 4 = 0
0 + 3y - 4 = 0
3y - 4 = 0
3y = 4
y = 4/3 The y-intercept is 4/3
I forgot how to do this. Please help!
Answer:
It's just a line with a slope of 0 at y= -5
ISOSCELES
EQUILATERAL
SCALENE
Answer:
scalene because all the angles are different in an isosceles triangle 2 angles are the same
Answer:
Scalene triangle
Step-by-step explanation:
the answer is the scalene triangle
{(-4,3), (5,-9), (11,4), (9,6), (5,-3), (8,-9), (1,4)}
Function / Not a Function
is not a function.
The relation is not a function.
Step-by-step explanation:
Help me please this is due please help
Answer:
18
Step-by-step explanation:
Divide the total weight of dough by the amount required for 1 pizza
20 [tex]\frac{1}{4}[/tex] ÷ 1 [tex]\frac{1}{8}[/tex] ( change mixed numbers to improper fractions )
= [tex]\frac{81}{4}[/tex] ÷ [tex]\frac{9}{8}[/tex]
• leave first fraction , change ÷ to × , turn second fraction ' upside down '
= [tex]\frac{81}{4}[/tex] × [tex]\frac{8}{9}[/tex] ( cancel 81 and 9 by 9 )
= [tex]\frac{9}{4}[/tex] × 8 ( cancel 4 and 8 by 4 )
= 9 × 2
= 18 pizza's
You are running a fuel economy study. One of the cars you find is blue. It can travel 30 1/2 miles on 1 1/4 of gasoline. Another car is red. It can travel 27 1/5 on 4/5 of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
You are running a fuel economy study. One of the cars you find is blue. It can travel 30 and one half miles30 1 2 miles on 1 and one fourth gallons1 1 4 gallons of gasoline. Another car is red. It can travel 25 and three fifths miles25 3 5 miles on four fifths gallon 4 5 gallon of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon1 gallon of gasoline?
Blue car: 30.5 / 1.25 =24.4 miles per gallon
Red car: 25.6/0.80 =32 miles per gallon
You can easily see that the Red car travel farther on 1 gallon of gasoline.
Answer:
The unit rate for the blue car is 24 2/5 and The unit rate for the red car is 34
please if you can i urgently need help thank you very much
Answer:
alright so basically solve and find each value out of exponent so it would be 16-8 over 32-16 which is 8/16 which simplifies to 1/2 which is ur answer
Answer:
4
you just add the powers when it's multiplication and same digit and minus them when they are divided but they have to be the same digit
2 power 4+3 =7 / 2 power 5+4=9
2 power 9-7=2
2 power 2 =4
Write an equation that represents a discount of 18% on a retail price of $55. Let p represent the new price.
Enter the correct answer in the box.
[tex]\boxed{\tt{55(55-0.18)=pA}}[/tex]
17
1 point
Write the equation of the line that passes through the points (-2.3) and (-2.5).
Answer:
pa pic nyou nalang kung may pic plss
HELP
Which expression should appear on Line 3?
800 + 24 + 12
800 +240 + 12
800 + 600 + 12
80 +240 + 12
Line 3 = (200 × 4) + (60 × 4) + (3 × 4) [multiply the terms in the brackets]
= 800 + 240 + 12
Answer:
Refer to the attachment
Suppose that 18 inches of wire costs 72 cents.
At the same rate, how much in cents) will 41 inches of wire cost?
Answer:
1.61
Step-by-step explanation:
72/18 = 4cents per inch
4*41 = 161
1.61$
-4x + 2x + 3x + 8
Asap
Answer:
x + 8
Step-by-step explanation:
1. To simplify this expression, we have to combine like terms.
(-4x + 2x + 3x) + (8)(-2x + 3x) + (8)x + 8Therefore, the answer is x + 8.
Aviv thinks of two numbers between 6 and 50. The highest common factor of his two numbers is 5. The lowest common multiple of his two numbers is 60. Write down the two numbers that aviv is thinking of.
Answer:
15 and 20.
Step-by-step explanation:
The 2 numbers are both divisible by 5.
Listing numbers whose LCM is 60 and divisible by 5.
20 and 30 :- not this as the HCF is 10.
15 and 20 : - HCF = 5 and LCM = 60.
Aviv is thinking of the numbers 60 and 5.
How to determine the two numbers that aviv is thinking of.Let's consider the factors of 5 and the prime factorization of 60 to find the two numbers Aviv is thinking of.
The prime factorization of 60 is \(2^2 \times 3 \times 5\).
Since the lowest common multiple of two numbers is the product of their highest powers of prime factors, and we know the lowest common multiple is 60, this suggests that one of the numbers includes \(2^2\), \(3\), and \(5\) as prime factors.
However, we also know that the highest common factor of the two numbers is 5. This means that the second number must include \(5\) as a prime factor.
Putting these pieces together, the two numbers that Aviv is thinking of are \(2^2 \times 3 \times 5 = 60\) and \(5\).
So, Aviv is thinking of the numbers 60 and 5.
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Factorize; x cubed - x squared y ?
ASAP, please
Answer:
x²(x - y)
Step-by-step explanation:
x³ - x²y ( x² is common to both terms so factor it out )
= x²(x - y)
(1 – xi)(5 – i) – (1 + 3xi)(5 – i)
-
Simply
Answer:
-20xi -4x
Step-by-step explanation:
What is the value of h?
h = 20
h = 35
h = 55
h = 70
Answer:55
Step-by-step explanation:
Which number produces a rational number when multiplied by 1/2
Step-by-step explanation:
all odd numbers
that should be the answer
5
Beena has a holiday in a villa in France.
The total cost of her travel is £349
Beena is on holiday for 2 weeks.
The cost of the villa is 650 euros per week.
While on holiday, Beena has 7 art lessons.
The cost of each art lesson is 45 euros.
Using an exchange rate of 1.12 euros = £1
(a) work out the total cost of Beena's travel, villa and art lessons.
Give your answer in pounds (£).
Answer:
The answer is 25 because they're both the same.
Mark me as brainliest please.
Step-by-step explanation:
The total cost of Beena's travel, villa and art lessons = £1790.97
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
The total cost of her travel is £349
Beena is on holiday for 2 weeks.
The cost of the villa is 650 euros per week.
i.e. 2*650
=1300 euros
=1300/1.12
=£1160.71
While on holiday, Beena has 7 art lessons.
The cost of each art lesson is 45 euros.
i.e. total cost = 7*45
=315
=315/1.12
=£281.25
[Using an exchange rate of 1.12 euros = £1]
Hence, The total cost of Beena's travel, villa and art lessons = £1790.97
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Please help me solve this
Kylie signed up for a streaming music service where there's a fixed cost for a monthly membership and a cost per song downloaded. Her total cost is given by the linear graph below. What does the slope of the line represent?
Answer:
we need the linear graph ._.
Step-by-step explanation:
Help! Look at the image below!
Answer:
the answer is (6,9) so the answer for y is 9
Step-by-step explanation:
A chemist mixes 100 milliliters of a solution that is 75% acid with 25 milliliters of a solution that is 35% acid.
Answer the questions below. Do not do any rounding.
(a) How many milliliters of acid are in the resulting mixture?
(b) What percentage of the resulting mixture is acid?
Answer:
85% acid
Step-by-step explanation:
The amount of acid is 83.75 milliliters
The percentage of the resulting mixture of acid is 67%
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
A chemist mixes 100 milliliters of a solution that is 75% acid with 25 milliliters of a solution that is 35% acid.
This means,
75% of 100 milliliters = 75/100 x 100 = 75 milliliters
35% of 25 milliliters = 35/100 x 25 = 8.75 milliliters
Now,
The amount of acid is (75 + 8.75) = 83.75 milliliters
The percentage of the resulting mixture of acid.
= 83.75 / (100 + 25) x 100
= 83.75/125 x 100
= 67%
Thus,
The amount of acid is 83.75 milliliters
The percentage of the resulting mixture of acid is 67%
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There is a bag with only red marbles and blue marbles. The probability of only choosing a red marble is 5/8. There are 25 red marbles in the bag and each is likely to be chosen. How many marbles should there be in total?
25 red, 15 blue
======================================================
Work Shown:
b = number of blue marbles = unknown
r = number of red = 25
T = number total = 25+b
r/T = probability of getting red = 5/8
r/T = 5/8
25/(25+b) = 5/8
25*8 = 5(25+b) .... cross multiplication
200 = 125+5b
200-125 = 5b
75 = 5b
5b = 75
b = 75/5
b = 15
We have 15 blue marbles and 25 red marbles. This means there are T = r+b = 25+15 = 40 marbles total.
The proportion of red is r/T = 25/40 = (5*5)/(5*8) = 5/8 to help confirm we have the correct value for b.
please solve this construction for me
Answer:
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