Answers
By definition of tangent,
tan(A - π/4) = sin(A - π/4) / cos(A - π/4)
Expand the numerator and denominator using the angle sum identities for sin and cos:
tan(A - π/4) = (sin(A) cos(π/4) - cos(A) sin(π/4)) / (cos(A) cos(π/4) + sin(A) sin(π/4))
Divide through everything on the right by cos(A) cos(π/4):
tan(A - π/4) = (sin(A) / cos(A) - sin(π/4) / cos(π/4)) / (1 + (sin(A) sin(π/4)) / (cos(A) cos(π/4)))
Simplify the sin/cos terms to tan:
tan(A - π/4) = (tan(A) - tan(π/4)) / (1 + tan(A) tan(π/4))
tan(π/4) = 1, so we're left with
tan(A - π/4) = (tan(A) - 1) / (1 + tan(A))
Replace tan(A) with -√15:
tan(A - π/4) = (-√15 - 1) / (1 - √15)
Then the last option is the correct one.
Related Questions
Due within next 5 minutes! Please help!
Mrs. B budgeted $175 per month for gasoline, $100 per month for
maintenance, and $150 per month for insurance. What is her weekly,
monthly, and yearly budget for owning her car?
Answers
Answer:
Weekly: $106.25
Monthly: $425
Yearly: $5,100
Step-by-step explanation:
Answer:
Step-by-step explanation:
WEEKS:
$175 divided by 4= 43.75
100 divided by 4= $25
150 divided by 4: $37.5
TOTAL: 106.25
YEARLY:
$175 times 12: $2,100
$100 times 12: $1,200
$150 times 12: $1,800
TOTAL: 5,100
MONTHLY: $425
A class of 32 students has 12 girls. What is the ratio of girls to boys?
A. 3:5
B. 5:3
C. 3:8
D. 8:3
Answers
Answer:
d is the answer
in think
Step-by-step explanation:
try it
Answer:
A
Step-by-step explanation:
Number of student=32
Number of girls=12
Number of boys=32-12
=20
Ratio of girls to boys=12:20
=6:10
=3:5
You want to buy carpet for your living room. The room is rectangular and the dimensions are 10 feet by 6 feet. How many square feet of carpet do you need to buy?
Answers
Answer:
60 ft^2
Step-by-step explanation:
This is a problem where you calculate the area of a rectangle A=bh. b=10 and h=6 so A=6*10 or 60 ft^2
Evaluate the expression on top helllp pls
Answers
Answer:
159
Step-by-step explanation:
Answer:
the answer is 59
Step-by-step explanation:
apply
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
First, add inside the parentheses. Your equation is now 8^2-5.
8 squared is sixty four, and subtract five to get 59. Hope this helped!
Solve 2x +2>10 quickly please
Answers
Answer:
x > 4
Step-by-step explanation:
2x+2>10 Subtract by 2 on both sides
2x>8 Divide by 2 on both sides
x>4
How do you get from one number to the next using multiplication or division?
From 100 to 106
From 100 to 90
From 90 to 100
From 106 to 100
Answers
Answer:
You use decimal values. Like for the first one, multiply 100 by 0.01.
Step-by-step explanation:
The multiplication or division is 10^6/10^4
How to interpret integral multiplication?Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b
Then, their multiplication can be interpreted as:
[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]
For example,
[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]
Given;
From 100 to 10^6;
100 * 10^4 = 10^6
From 100 to 90;
100/10*9=90
From 90 to 100
90/9*10=100
From 10^6 to 100
10^6/10^4=100
Therefore, by multiplication or division will be 10^6/10^4
Learn more about multiplication here:
https://brainly.com/question/26816519
#SPJ2
2)
Mike went to the doctor and was found to be 20 pounds overweight.
The doctor discovered that Mike ate an average of 2000 calories per
day. He said for Mike to lose weight and meet his goal, the maximum
amount of calories he could eat per day was 1750. How many calories
will Mike be cutting out each week (7 days)?
Answers
Answer:
1750 Calories
Step-by-step explanation:
2000-1750=250
250x7=1750
Example of a balance point
Answers
a home's loss of heat is equal to heat created in the home or when both sides of a seesaw are at an equal level.
3.55. Постройте график линейной функции:
1) у = 2/3х – 4;
2) y = 2x + 6;
3) у = -1,5х – 3;
4) y = -1/2x + 1;
5) y = 5/3x - 2;
6) y = -4/3x + 2;
Answers
Answer:
4) y = -1/2x + 1;
Step-by-step explanation:
maybe
or maybe not
Disney held a breakfast for parents and their children to eat with Mickey and Minnie Mouse (and
the rest of the gang, too!) Adult tickets cost $17.95 and children's tickets cost $12.95. Disney
made $7355 from ticket sales from a total of 500 people that attended. How many adults and
how many children were at the breakfast?
Answers
176 adults 324 children
The following measurements were added: 5.45 + 6.1 + 2.84. what should
the answer be reported as *
1)14.39
2)14.3
3)14.4
4)14
Answers
Explanation:
5.45+2.84= 8.29
Then for 6.1 you add a zero to the end and make it 6.10 which is the same thing
Now 8.29+6.10= 14.39
Jimmy bought a pair of jeans for $50 and a shirt for $25. He has a coupon to save 1/10 of the total on his purchase. How much does Jimmy pay for the jeans and shirt after the discount?
Answers
Answer:
$67.5
Step-by-step explanation:
50+25=75. Then, it's 1/10 of 75 which is $7.5. Then, 75-7.5 which is $67.5
Hope this helps :D Please mark brainliest
George, a musician, works 35 hours in a week. If he earns $18.15 per hour, how much does he earn each week?
Answers
Answer:
$635.25
Step-by-step explanation:
He works 35 hours a week, multiply that by $18.15 and you get $635.25.
Which division problem would have an estimated quotient of 15 if the divisor and dividend were rounded to the nearest whole number?
90.24 divided by 6.3
79.85 divided by 3.99
85.01 divided by 16.77
59.87 divided by 10.21
Answers
Answer:
A. 90.24 divided by 6.3
Step-by-step explanation:
We take each option one by one and solve for it
A. 90.24 divided by 6.3
Divisor = 90.24
Dividend = 6.3
if the divisor and dividend were rounded to the nearest whole number?
= 90÷ 6
= 15
Answer:
A, I got it right on edge.
Step-by-step explanation:
HELP!!!!!!!! ALL MY GRADES DEPEND ON THIS!!! 0.5y/4/9 = y+3/8
Answers
Answer:
The answer is y=3, my friend. I hope your grade gets better <3
Step-by-step explanation:
Answer:
The value of y is 3
Step-by-step explanation:
7) Newton sees 50 frogs in the morning, and 7 fewer frogs in the
afternoon. How many frogs did he see in total?
Answers
Answer:
93
Step-by-step explanation:
Factor the common factor out of this expression.
25u^2+20v^2+5v
Answers
Answer:
Hi Answer Is 5(5u^2+4v^2+v)
Determine if the lines are parallel, perpendicular, or neither. y + 3 = 7/4x and -4/7x + y = 9. Do I still have to solve y + 3 = 7/4x?
Answers
Answer:
No you dont have to solve it. And I believe it is perpendicular.
Step-by-step explanation:
Answer:
Perpendicular
Step-by-step explanation:
you have to solve both. If you make the lines in a graph it will turn out to be perpendicular because they are going to intersect.
Find the remainder when f(x) = 2x3 − 12x2 + 11x + 2 is divided by x − 5.
Answers
Answer: I couldn’t find your answer to this mathematics question, try a different question to this mathematics answer so I can get it.
Step-by-step explanation:
Answer:
Its 7 pls brainliest
Step-by-step explanation:
i will give lots of points and brainly please help asap What is the equation of the quadratic of the quadratic graph with a focus of (1,3) and a directex of y= 1 show your work please
Answers
check the picture below.
now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.
the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.
the distance "p", from the vertex to either the directrix or focus, is really just 1 unit. Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.
Your statement balance is $687.45. You have outstanding checks totaling $332.10 and an outstanding deposit for $124.21. What is your adjusted balance?
Answers
Answer:
261.48
Step-by-step explanation:
m(p + q); use m = 2, p = 6, and q = 1
Answers
m(p+q)
2(6+1)
2(7)
14
Answer: 14
Step-by-step explanation:
If they say that m(p+q) = 2(6+1) then we take what is in the parenthasis first (6+1) then we get (7). After that take m=2 times 7= 14
What is the sum of the polynomials? 8x2-9y2-4x
Answers
Answer:
9x^2-12y^2-11x
Step-by-step explanation:
I took the test.
How are rates ratios and proportions used in careers in the medical field
Answers
Answer:
Ratios and Proportions
Nurses do not prescribe medicine, but they administer medication to their patients. When doing so, they use ratios and proportions to help them. ... The ratios and proportions also allow the nurse to know how long the medication will stay in the body of the patient before needing another dosage.
Step-by-step explanation:
Answer:
they are used for comparing data
Step-by-step explanation:
even im the medical feild, mathematics is an impeccable way to explain phenomenons... by using mathematical formulas ratios and fraction, data can be communicated easier and help it to be easier to understand
Solve the equation below for x.
1/2(x+2)=7/5
Answers
Answer:
x = 4/5
Step-by-step explanation:
a cook has 6 1/2 cups of sliced carrots
how many 3/4 cup servings of carrots is this
Answers
8 2/3 cup servings of carrot.
Explanation
Divide 61/2 by 3/4
Answer:8 2/3
Step-by-step explanation:
System of Equations in Three Variables Word Problem
Answers
Answer:
i think the answer is a number or multiple number and maybe a decimal.
Step-by-step explanation:
go to Tiger Algebra Solver
PLEASE HELP ME!!! ASAP!! ITS ALMOST DUE!!
Answers
Answer:
I'm pretty sure it's the first one. If i'm wrong i am terribly sorry
Step-by-step explanation:
Answer:
Y-intercept is -6 and the slope is 1
Step-by-step explanation:
You can use Y2-Y1/X2-X1 to find the slope. Then, you can use y=mx+b to find the y-intercept.
When Angela turned 10, her parents deposited $5,000 in a college fund for her. When Angela enrolled in college at 18, her account had $6,800 to help pay her expenses. If the account paid simple interest, what was the annual interest rate?
Answers
Answer:
4.5%
Step-by-step explanation:
Answer:
4.5%
Step-by-step explanation:
unit 8 right triangles and trigonometry homework 1
Answers
Answer:
x = 31.8
Step-by-step explanation:
From the picture attached,
By applying Pythagoras theorem in right ΔADC,
AC² = AD² + CD²
(22)² = AD² + (16)²
AD² = 484 - 256
AD = √228
= 2√57
Now we apply Pythagoras theorem in right ΔADB,
AB² = AD² + DB²
x² = 228 + (44 - 16)²
x² = 228 + 784
x² = 1012
x = √1012
= 31.81
≈ 31.8
The side x is an hypotenuse side to one of the right triangles formed by
altitude of the given triangle that has solid lines.
x is approximately 31.812
Reasons:
The figure shows a triangle with an altitude that forms two triangles inside
the main triangle.
By Pythagoras's theorem, we have;
For the right triangle on the left;
22² = h² + 16²
h² = 22² - 16² = 228
h² = 228
h = √228 = 2·√57
h = 2·√57
In the right triangle to the right, we have;
The length of the top base, b = 44 - 16 = 28
The square of the hypotenuse, x² = h² + b²
∴ x² = 228 + 28² = 1012
x = √(1012) = 2·√253
x = 2·√253 ≈ 31.812
Learn more here:
https://brainly.com/question/6241683