If tan m = One-half and tan n = –6, what is the exact value of tan(m + n)?
Negative StartFraction 11 Over 2 EndFraction
Negative StartFraction 11 Over 8 EndFraction
StartFraction 11 Over 8 EndFraction
StartFraction 11 Over 4 EndFraction
Answers
Answer:
B. -11/8
Step-by-step explanation:
Given:
tan m = ½
tan n = -6
Required:
Exact value of tan(m + n)
Solution:
Find m and n:
[tex] tan (m) = \frac{1}{2} [/tex]
[tex] tan (m) = 0.5 [/tex]
[tex] m = tan^{-1}(0.5) [/tex]
m = 26° (approximated)
[tex] tan (n) = -6 [/tex]
[tex] n = tan^{-1}(-6) [/tex]
n = -80° = 280° (i.e. 360 - 80)
Exact value of tan(m + n) = tan(26 + 280)
tan(306)
tan(307) = -1.37638192 ≈ -11/8
Answer:
B) -11/8
Step-by-step explanation:
its correct on edge
Related Questions
Jacque needs to buy some pizzas for a party at her office. She’s ordering from a restaurant that charges a $7.50 delivery fee and $14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $60.
Each pizza is cut into 8 slices, and she wonders how many total slices she can afford.
Q: What is the largest number of slices that Jacque can afford?
Answers
Lets answer the information by making it look like a budget subtraction:
60 = Total
1. Remove the delivery cost, so you can leave the rest of the budget for your pizzas.
60 - 7.50 = 52.50
2. Now, subtract the cost of pizzas multiple times until you reach it to where you dont have enough for another pizza.
52.50 - 14 = 38.50 Pizza 1
38.50 - 14 = 24.50 Pizza 2
24.50 - 14 = 10.50 Pizza 3
Now, theres not enough to buy another.
So, we know that Jacque can only afford 3 pizzas, but she need to calculate the number of slices.
3. Multiply the number of slices by the number of pizzas.
8 x 3 = 24
So, the largest number is 24 slices.
Answer:
60
Step-by-step explanation:
PLS!!! HELP ME!!!! I WILL MARK U!!
Answers
Answer:
-47.4
Step-by-step explanation:
what is the ruler postulate
Answers
Answer:
The points on a line can be assigned real number coordinates (think of numbers on a number line). The distance between any two points is their difference.
One serving of Mike’s crackers has 150 calories and a mass of 30 grams. How many calories are in 6 grams of crackers?
Answers
Answer:
30Cals
Step-by-step explanation:
150/30*6
Easy.
I need to write an equation for the following, please help!!
slope = 2; y-intercept is (0,5)
Answers
Answer:
Could you please show me a graph so I can answer more clearly? I'll follow up on this question if it helps.
Step-by-step explanation:
f(x)=-x+9
That’s it I just need someone to help me with my math homework
Answers
Y intercept is (0,9)
Pls mark me as brainliest
What is the minimum angle of rotation lin degrees that will carry the six-sided star onto itself?
What’s the degree
Answers
Answer:
120 degrees
Step-by-step explanation:
If it's a 6 sided star, that means that it will be divided into 3 parts (think about how a normal 5-point star has 10 sides). That means that we divide 360 (total number of degrees in a full rotation) by 3 (number of sections) = 120
The regular price of sneakers is $89, they are on sale for 20% off. What is the final sale price?
Answers
Answer:
20% of 89 is 17.8
89 - 17.8 = 81.2
Answer 20% of 89 is 17.8
89 - 17.8 = 81.2
Step-by-step explanation:
Aline crosses the coordinates (-4,4) and (2.-5). What is the slope
of the line?
Answers
Answer:
Step-by-step explanation:
Use the slope formula:
[tex]m = \frac{y2 -y1}{x2 - x1}[/tex]
where m = slope
Given the coordinates
(-4, 4) ---> this means x1 = -4 , y1 = 4
(2, -5) ---> this means x2 = 2 , y2 = -5
Substitute these values into the slope formula:
[tex]m = \frac{y2 -y1}{x2 - x1}[/tex]
[tex]m = \frac{-5 -4}{2 - (-4)} = \frac{-9}{2+4} = \frac{-9}{6} = \frac{-3}{2}[/tex]
The slope of the line passing through the coordinates (-4, 4) and (2, -5) is - 3/2.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
The slope of the line passing coordinates (-4, 4) and (2, -5) can be obtained as we know slope is rise over run which is slope(m) = (y₂ - y₁)/(x₂ - x₁) = (-5 - 4)/(2 + 4) = -9/6 = - 3/2.
learn more about lines and slopes here :
https://brainly.com/question/3605446
#SPJ2
A mathematical sentence with an equal symbol used (I need the definition of it)
Answers
Answer:
An equation is a mathematical sentence containing an equals sign. It tells us that two expressions mean the same thing, or represent the same number. An equation can contain variables and constants.
Step-by-step explanation:
Solve for x using the
distributive property.
7(x + 3) = -49
Answers
Answer:
x= -10
Step-by-step explanation:
distribute 7 to x and 3: 7x + 21 = -49
subtract 21 from both sides to isolate the variable: 7x= -70
divide both sides by 7 to find x: x= -10
Answer:
X = -10
Step-by-step explanation:
1.- 7x + 21 = -49
Subtract 21 on both sides of the equal sign
You should have:
2.- 7x = -70
Divide 7 on both sides of the equal sign
You should get the answer:
X = -10
Find the value of x?
Answers
Answer:
x = 94°
Step-by-step explanation:
interior angle sum of any polygon: (s-2)×180°
with s being the number of sides.
since there are 7 sides, 7-2 = 5
5* 180°
900° = total sum
______________________________
since we know the rest of the angles, just subtract the total sum from the sum of the known angles to find the unknown one.
900°-(148°+140°+136°+142°+150°+90°) = x
900°- 806°= 94°
x= 94°
The negative sign can be read as "the opposite of."
True False
Answers
How much money does Alex have more than Emily? Alex has $68.00 and Emily has $-94.00
answer the correct answer!
Answers
Answer:
162
Step-by-step explanation:
plz help me will mark brainlest 1 hour and two or more have to answer must get every one correctt and must answer all three
Answers
page one step three=. 5x/5=15/5
page one step four=. x=3
page two step one=. 6n+3-3=9-3
page two step two=. 6n=6
page two step three=. n=1
page three step one=. m/3+4-4=7-4
page three step two=. m/3=3
page three step three=. m/3*3=4*3
page three step four=. m=9
A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
y=-8x² + 539x – 3710
Answers
8^2 gives you 64. 64x + 539x=603.
Step-by-step explanation:
Your answer would be y=603x-3710
Sam drove from San Diego (elevation 210 feet) to the Grand Canyon (elevation -247 feet). What is the difference in elevation between San Diego and the Grand Canyon?
Answers
Answer:
The difference is elevation is 457 feet.
Step-by-step explanation:
You simply add the two numbers together.
2x -3 >7 solve please
Answers
Answer:
4
x
2
−
28
x
+
49
Step-by-step explanation:
Its Not The Answer But Its Your Question Simplified
Answer:
I don't know if this is correct but it probably is but I got x=5
Step-by-step explanation:
you write the equation and put the line through the sign, and cross out the 3. Then you are going to add 3 to the seven which will then equal 2x > 10. Then you cross out the 2 and divide both side with the 2. and 10 divided by 2 is 5 so therefore x equals 5.
Help With the question on the image.
Answers
The ratio of the perimeters of 2 similar shapes is the sidelength of 1 shape to the matching sidelength. That means the ratios of the perimeters are 10:6 = 5:3
The ratio of areas = ratio of perimeters ^2 --> 25:9
Ratios of areas = ratios of perimeters ^2
Please do this if your smart please dont guess this is an important anwser
Answers
Answer:
J''(- 3, 3 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x )
Thus J(1, 1 ) → J'(- 1, 1 )
Under a dilatation with scale factor 3, multiply each of the coordinates of J' by 3, that is
J'' = (3(- 1), 3(1)) = (- 3, 3 )
¿que número multiplicado por -53 da como resultado 5883?
Answers
Answer: 76.701 x 76.701 ≈ 5883
Step-by-step explanation: Estoy seguro de que eso es todo
Solve the following equations.
1) 10 + x = 13
2) y - 13 =23
3) 4b = 24
4) m/5=7
Answers
Answer:
1) x = 3
2) y = 36
3) b = 6
4) m = 35
Step-by-step explanation:
1) x = 13-10 =3
2) y = 23+13 =36
3) b = 24÷4 =6
4) m = 5×7 =35
The new iPhone 12 Pro Max costs $1099 (without tax). You have saved $872 from
your summer job. How much more money would you need to earn in order to buy the
new iphone?
Answers
Answer:
227 dollars left
Step-by-step explanation:
1099-872
227
Help ASAP PLZ HELP ME
Answers
Answer:
Step-by-step explanation:
the sum of angles of triangle=180 degrees
one angle=90 degrees
180-90=90 degrees is the measure of the other two angles
since the two angles are congruent or equal
90/2=45 degrees
the measure of the 2 angles =45 degrees each
Help 8th grade please
Answers
Answer:
B.
Step-by-step explanation:
Supplementary angles have a sum of 180 degrees, and those two angles added to angle 1 would be equal to 180 degrees since they are straight lines.
Answer:
C
Step-by-step explanation:
Supplementary - adds up to 180
if x and y vary directly, and x=3/4 and y =15 which of following represents this situation?
a x=11.25y
b y=11.25x
c x=20y
d y=20x
Answers
Answer:
A
Step-by-step explanation:
Because your not studying
Answer:
D
Step-by-step explanation:
simple plug and chug.
Understand that variables are already defined, x=3/4, y=15 meaning that if we plug one of the variables into an equation, we should obtain the other variable's number.
y=20x will result in y=15 when x=3/4 and vice versa.
Need help with this too
Answers
Answer:
x = -16 or x = -4
I hope this helps!
12.
At Break Time Bakery, donuts are 75¢ each and drinks cost $1.50 each. Which equation best represents y, total cost of purchasing x number of donuts and a drink?
A.) y = 2x + 2.25
B.)y = 1.50x + .75
C.)y = 75x +1.50
D.)y = .50x + .75
Answers
Answer:
100% Sure its b
Step-by-step explanation:
Answer:
B.)y = 1.50x + .75
Step-by-step explanation:
10) You and your friends order a meal for $116.29. How much
tip should you leave if you want to leave a 12% tip?
11) Originally priced at $19.59, a video game was found on a
62% off rack. What is the sale price of the video game?
12) A CD is marked with a sale sticker saying it is 56% off. The
original price is $10.17. What is the sale price?
Answers
Can somebody please answer all of these questions and only if u know how to do this!!! Thanks
(WILL MARK BRAINLIEST
:D
Answers
Hi again I helped you on your last question, I love helping people. Anyway here's the answer!
16. 0.188 rounded nearest hundredth = 0.19
17. 0.455 rounded nearest hundredth = 0.46
18. 0.538 rounded nearest hundredth = 0.54
19. 0.417 rounded nearest hundredth = 0.42
20. 2.833 rounded nearest hundredth = 2.83
21. 3.667 rounded nearest hundredth = 3.67