Step-by-step explanation:
Let x represent theta.
[tex] \sin( \frac{\pi}{4} - x ) [/tex]
Using the angle addition trig formula,
[tex] \sin(x - y) = \sin(x) \cos(y) - \cos(x) \sin(y) [/tex]
[tex] \sin( \frac{\pi}{4} ) \cos(x) - \cos( \frac{\pi}{4} ) \sin(x) [/tex]
[tex]( \frac{ \sqrt{2} }{2}) \cos(x) - (\frac{ \sqrt{2} }{2} )\sin(x) [/tex]
Multiply one side at a time
Replace theta with x , the answer is
[tex] \frac{ \sqrt{2} \cos(x) }{2} - \frac{ \sin(x) \sqrt{2} }{2} [/tex]
2. Convert 30 degrees into radian
[tex] \frac{30}{1} \times \frac{\pi}{180} = \frac{\pi}{6} [/tex]
Using tangent formula,
[tex] \tan(x + y) = \frac{ \tan(x) + \tan(y) }{1 - \tan(x) \tan(y) } [/tex]
[tex] \frac{ \tan(x) + \tan( \frac{\pi}{6} ) }{1 - \tan(x) \tan( \frac{\pi}{6} ) } [/tex]
Tan if pi/6 is sqr root of 3/3
[tex] \frac{ \tan(x) + ( \frac{ \sqrt{3} }{3} ) }{1 - \tan(x) (\frac{ \sqrt{3} }{3} ) } [/tex]
Since my phone about to die if you later simplify that,
you'll get
[tex] \frac{(3 \tan(x) + \sqrt{3} )(3 + \sqrt{3} \tan(x) }{3(3 - \tan {}^{2} (x) } [/tex]
Replace theta with X.
solution for the inequality 6x +9 ≤ 27
Answer:
6x + 9 = 27
-9 -9
6x = 18 Now divide both sides by 6
/6 /6 so the answer is 3
Step-by-step explanation:
please help with this!
Answer:
a) HK
b) EF
c) ∠J
d) ∠E
e) JKH
solve using the Pythagorean theorem.
need urgent help
Answer:
y = 7
Step-by-step explanation:
Mathematically, according to the Pythagoras’ theorem;
The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the two other sides
The hypotenuse is the side that faces the right angle and it is represented by the square root of 85 here
Thus, we have it that;
(√85 )^2= 6^2 + y^2
85 = 36 + y^2
y^2 = 85-36
y^2 = 49
y = √49
y = 7
Cherlyn moves houses her old house is 3 kilometers from her new house how many meters is it from the old house to the new house?
Answer:
3,000 meters
Step-by-step explanation:
1 Kilometer = 1,000 meters
1,000 meters x 3 Kilometers = 3,000 meters
Hopefully this helps :3 Sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
PLEASE HELP!! I'll give the correct answer brainliest and 5 stars
Answer:
C 150/30 (Your answer)
Step-by-step explanation:
bc 150 BLUE marbles and 30 RED marbles so ur right
Answer:
The answer is C
Step-by-step explanation:
Its asking for the ration of BLUE to RED. In ratio you always do the first unit/object so its asking for blue then red so its 150(blue/30(RED)
Find each value.
p(4,4)
p(6,3)
p(9,5)
Answer:
the probability: (4,4) it is certain to happen. (6,3) it is not likely nor unlikely
because it is half. (9,5) it is likely to happen.
Step-by-step explanation:
An investor has an account with stock from two different companies. Last year, her
stock in Company A was worth $1060 and her stock in Company B was worth $4290.
The stock in Company A has increased 15% since last year and the stock in Company
B has increased 20%. What was the total percentage increase in the investor's stock
account? Round your answer to the nearest tenth (if necessary).
Answer:
Final Answer: 19%
Step-by-step explanation: I had the same question, I risked my life and got it wrong for you to get the answer
In ANOP, the measure of _P=90°, NO = 49 feet, and OP = 19 feet. Find the measure
of N to the nearest degree.
O
N
49
19
Answer:23
Step-by-step explanation:
Answer:
the answer is 23
Step-by-step explanation:
the measures of the side of a triangle are 4√2 cm, 4√2 cm qnd 8√2 cm. what is the perimeter of the triangle?
Answer:
[tex]16\sqrt{2}[/tex]
Step-by-step explanation:
Add up all the sides to get the perimeter:
[tex]4\sqrt{2} + 4\sqrt{2} +8\sqrt{2} = 16\sqrt{2}[/tex]
On Anti-Bullying day, 378 Chenery Middle School (CMS) students wore Orange. If this represents 45% of the student population, how many students are enrolled at CMS?
Why are 4(5) and 20 equivalent expressions?
Answer:
because 4 to the power of 5 is 5 x 5 x 5 x 5 and that equals 20
and the next number is 20
Step-by-step explanation:
Solve the equation.
Show your steps.
3x + 265 = 4
Answer:
x = -87
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 265 from both sides of the equation:
3x + 265 (-265) = 4 (-265)
3x = 4 - 265
3x = -261
Next, divide 3 from both sides:
(3x)/3 = (-261)/3
x = -261/3
x = -87
x = -87 is your answer.
~
Answer:
If you're looking for the value of x, it's -87.
Step-by-step explanation:
1. Subtract 265 from both sides
3x+265-265 = 4-265 = 3x = -261
2. Divide by 3 to get the variable by itself
3x/3 = -261/3. = -87
x = -87
Hope this helps
Can someone help me ASAP plz
Answer:
[tex]\boxed{\text{\sf \Large 138.6 mm^2 $}}[/tex]
Step-by-step explanation:
Area of rectangle
[tex]15 \times 5=75[/tex]
Area of circle (semi-circle+semi-circle)
[tex]r=(15-3-3) \div 2 = 4.5[/tex]
[tex]\pi \times 4.5^2=20.25\pi[/tex]
Add both areas
[tex]20.25\pi +75[/tex]
[tex]20.25 \times 3.14 +75=138.585[/tex]
Given that a sports team ends a season with 12 wins and 8 losses, what is the probability that the team had 5 runs of wins? * 0.083 0.225 0.315 0.442 0.557
Answer:
Step-by-step explanation :
examine this graph. what are the y-intercept and slope of this line HELP PLLZ
Answer:
y-intercept is basically the y variable. Looking on the graph above your y-intercept is 2. To find slope it is rise / run. In the graph your slope is -2/3.
Hope this helps, thank you :) !!
The required slope of the given equation of the line shown in the graph is -2/3.
Given that,
A graph of the line has been shown, we have to determine the slope of the line.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Since the slope of the line is measure of the angle inclined with the axis
As from observation, the line is passing from points (0,2) and (3, 0).
The slope of the line,
m = (y₂ - y₁) / (x₂ - x₁)
m = (0 - 2) / (3 - 0)
n = -2/3
Thus, the required slope of the given equation of the line shown in the graph is -2/3.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ2
A model railroad set was originally priced at $60, but Oliver waited to buy it until the model railroad set was on sale for 50% off. If he paid 10% sales tax on the sale price, how much did he pay in total?
$
Answer:
$33
Step-by-step explanation:
60 * 50% = 30
30 *10% = 3
30 + 3 = $33
Answer:
Step-by-step explanation:
$33
Step-by-step explanation:
60 * 50% = 30
30 *10% = 3
30 + 3 = $3
what is a^2 + 10a+24
Answer:
Step-by-step explaintation
a2 + 10a = 24
10a + a2 = 24
10a + a2 = 24
Solving for variable 'a'.
Reorder the terms:
-24 + 10a + a2 = 24 + -24
Combine like terms: 24 + -24 = 0
-24 + 10a + a2 = 0
Factor a trinomial.
(-12 + -1a)(2 + -1a) = 0
Set the factor '(-12 + -1a)' equal to zero and attempt to solve:
Simplifying
-12 + -1a = 0
Solving
-12 + -1a = 0
Move all terms containing a to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + -1a = 0 + 12
Combine like terms: -12 + 12 = 0
0 + -1a = 0 + 12
-1a = 0 + 12
Combine like terms: 0 + 12 = 12
-1a = 12
Divide each side by '-1'.
a = -12
Simplifying
a = -12
if you help me I’ll love you forever <3
Answer:
translation
Step-by-step explanation:
because a reflection across the x-axis is not right, and neither is across the y-axis. The triangle was also not rotated 90 degrees. It was translated 8 units to the right and 4 units up.
Identify the domain and range of the function.
How pink is blue?? How blue is pink??
The simple answer to this question is purple. However, because of the nature of the color pink, it can vary based on that. Purple is secondary color itself, as it’s the byproduct of red and blue. However, because there is some white in there from the pink, we are going to get a variety of shades.
For what value of x is AABC - ADEF?
HELP PLEASE!!
Answer:
A) x = 12
Step-by-step explanation:
4x-6 = 42
4 = 48
x = 12
7x+10 = 94
7x = 82
x = 12
Sam answered 5 questions
incorrectly on atest. For each
incorrect answer 3 points were
deducted from a score of 100.
What was Sam's Score?
Answer:
If Sam incorrectly answered 5 questions, and for each question 3 points were deducted, a total of 5x3, or 15 points were deducted.
Sam scored an 85.
Let me know if this helps!
11 = 7 – 5x
Please help!
Answer:
the answer is x=-4/5
Step-by-step explanation:
hoped I helped:)
Answer:
-4/5
Step-by-step explanation:
11=7+-5x
11=-5x+7
-5x+7=11
-5x+7-7=11-7
-5x=4
-5x/-5=4/-5
Suppose 2.7 gallons of water come out of a faucet each minute. Find the amount of water coming out in 1.2 minutes.
Answer:
3.24 gallons
Step-by-step explanation:
2.7x1.2=3.24
Answer:
3.24
Step-by-step explanation:
1.2 is 1 whole plus 20/100
so 1*2.7=2.7
.2*2.7=0.54
0.54+2.7= 3.24
st is tangent to q find the value of r
Answer:
r = 7
Step-by-step explanation:
The angle between the tangent ST and the radius QS at the point of contact is 90° , then
Δ QST is right
Using Pythagoras' identity in the right triangle
(r + 18)² = r² + 24² , that is
r² + 36r + 324 = r² + 576 ( subtract r² from both sides )
36r + 324 = 576 ( subtract 324 from both sides )
36r = 252 ( divide both sides by 36 )
r = 7
6. Given that g(x) is the inverse of f(x)...
a. f(x) = 3x + square root x + 3; find g(2)
b. f(x) = e^x; find g'(e3)
Answer:
sub 2 lazarbeam... yeet yeet yeet
8 less than or equal to -2x+16
The Answer is 8 ≤ -2x+16.
an amusement park charges $4.25 for admission, plus $1.50 for each ride ticket. Chase has $30 to spent on admission and ride tickets
Answer:
he went on 16 rides and paid for 2 admission
Step-by-step explanation:
he went on 16 rides and paid for 2 admission
A farmer sells 6.6 kilograms of apples and pears at the farmer's market. 3 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer:
If 3 5 is 3/5 then 2.64 would be the answer
Step-by-step explanation:
convert 3/5 to a percentage which is 60%. find 60% of 6.6
tell whether x and y are proportional
Answer:
Yes b/c y = 12x
Step-by-step explanation:
y = 12x