Answer:
B is my answer si no sorry
Find your own values that prove that tan(u-v) does not equal tan u - tan v. Show your work and explain why you chose these values.
To prove that tan(u - v) does not equal tan u - tan v, we start by assuming values for u and v.
To do this, we assume the following values
[tex]\mathbf{u = 75}[/tex]
[tex]\mathbf{v = 45}[/tex]
So, we have:
[tex]\mathbf{tan(u - v) \ne tan(u) - tan(v)}[/tex]
Substitute the assumed values for u and v
[tex]\mathbf{tan(75 - 45) \ne tan(75) - tan(45)}[/tex]
Subtract 45 from 75
[tex]\mathbf{tan(30) \ne tan(75) - tan(45)}[/tex]
Using a calculator, calculate the values of tan(30), tan(45) and tan(75)
So, we have:
[tex]\mathbf{0.5774 \ne 3.7321 - 1}[/tex]
Subtract 1 from 3.7321
[tex]\mathbf{0.5774 \ne 2.7321}[/tex]
Notice that the expression on the left-hand side and the expression on the right-hand side are not equal.
Hence, [tex]\mathbf{tan(u - v) \ne tan(u) - tan(v)}[/tex] is true
Read more about proofs of trigonometry at:
https://brainly.com/question/22698523
Gabriella drove to her friend's house and
back. The trip there took six hours and the
trip back took five hours. She averaged
60 km/h on the return trip. Find the
average speed of the trip there.
She drove 5 hours back at a rate of 60 km/h. Total distance on the way back was 5 x 60 = 300 km
The trip there would be 300 km and she drove for 6 hours
Average speed = 300 km / 6 hours = 50 km/h
Answer: 50 km/h
I need help surface area
Answer:
[tex]\huge\boxed{318yd^2}[/tex]
Step-by-step explanation:
The object shown in the diagram is a triangular prism, which contains two triangular sides and three rectangular sides.
The area of a triangle is simply [tex]\frac{bh}{2}[/tex].
Because the triangles are both the same, you may multiply the equation by 2 to get simply bh, or 9 * 6, or 54.
Then, simply solve for the areas of each rectangle:
r1 = 11 * 7 = 77
r2 = 11 * 8 = 88
r3 = 11 * 9 = 99.
Then, simply add all the values to get:
99 + 88 + 77 + 54
318.
Hope it helps :) and let me know if you want me to elaborate.
one third of the result of three times a number that is increased by 12
Answer:
Step-by-step explanation:
1/3 (3x+12)
1/3×3x+1/3×12
x+4
Write the equation of the line that passes through the points (9, 3) and (-7, -7).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
a
line.
Answer:
y-3=5/8(x-9)
Step-by-step explanation:
First, we can find the slope using the slope formula : -7-3/-7-9 = -10/-16 = 5/8
Now we can just plug in a point into point slope form
y-3=5/8(x-9)
plsss helppp
can you pls do this?
HELPPPPPP!!!!!!!!!!!!!!!
Answer:
I might be wrong i think its C but double check and dont put it in until you are sure its right
Step-by-step explanation:
Would appreciate your help a lot!
Answer:
None of those answers are right. It should be
[tex] - \frac{23}{24} [/tex]
Step-by-step explanation:
You have to find common denominators first. Multiply -5/6 by 4/4 to get -20/24. Multiply 1/8 by 3/3 to get 3/24.
[tex] - \frac{20}{24} = z + \frac{3}{24} [/tex]
Subtract 3/24 from both sides since it is being added.
[tex] - \frac{20}{24} = z + \frac{3}{24} \\ - \frac{3}{24} \: \: \: \: \: \: \: \: \: \: - \frac{3}{24} [/tex]
Since there are two negatives on the left, add the fractions together and keep the negative sign.
[tex] - \frac{23}{24} = z[/tex]
You cannot reduce this fraction.
Find the average rate of change between x=2 and x=4 for the function. F(x)=3x^3-1
Answer:
84Step-by-step explanation:
Average rate of change between x = 2 and x = 4 is:
[f(4) - f(2)]/(4 - 2) = (3*4³ - 1 - 3*2³ + 1)/2 = 168/2 = 84[tex]\boxed{\sf Average\: change=\dfrac{f(a)-f(b)}{a-b}}[/tex]
[tex]\\ \sf\longmapsto f(x)=3x^3-1[/tex]
[tex]\\ \sf\longmapsto f(4)=3(4)^3-1=3(64)-1=192-1=191[/tex]
[tex]\\ \sf\longmapsto f(2)=3(2)^3-1=3(8)-1=24-1=23[/tex]
Average change
[tex]\\ \sf\longmapsto \dfrac{192-23}{4-2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{168}{2}[/tex]
[tex]\\ \sf\longmapsto 84[/tex]
pls help asap MIDSEGMENTS
Answer:
RT and KS
Step-by-step explanation:
isosceles triangle
102 > 6x + 3 ( 4- 8x )
Answer:
x > - 5
Step-by-step explanation:
[tex]102 > 6x + 3 (4-8x) \\\rule{150}{0.5}\\102>6x+ 12-24x\\\\102>6x-24x + 12\\\\102>-18x + 12\\\\102 - 12 > -18x + 12 - 12\\\\90 > -18x\\\\\frac{90>-18x}{-18}\\\\-5 < x\\\\\boxed{x > -5}[/tex]
Hope this helps you.
Evaluate. 84
A.65,536
B. 4096
C. 512
D.32
PLZZZZZZ HELP and rate my rovlox fit
Answer:
its 32
Step-by-step explanation:
The value of the expression is 55/3.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
84 ÷ 42 x 6 + 18
Using the PEMDAS rule.
84 ÷ 252 + 18
84/252 + 18
1/3 + 18
(1 + 54)/3
= 55/3
Thus,
The value of the expression is 55/3.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
The complete question:
84 ÷ 42 x 6 + 18
Solve the expression.
4x+8=3
help asap
step by step please
[tex]4x +8 =3\\\\\implies 4x = - 5 \\\\\implies x = - \dfrac 54[/tex]
Answer:
x= -5/4
Step-by-step explanation:
4x+8=3
4x=3-8
4x=-5
x= -5/4
What is the equation of this line in slope-intercept form?
A: y = 4x + 1
B: y=−4x+1
C: y=4x−1
D: y=−14x+1
Answer: B
Step-by-step explanation:
The slope-intercept is usually written as y = mx + b form, where m is the slope, and b is the y-intercept. The y-intercept is the y value when x is equal to 0.
We can first eliminate C, because the y-intercept of the graph is 1.
To solve for slope, which is the m, choose two points, (-1, 5) and (1, -3).
Slope = (y2 - y1) / (x2 - x1)
= (-3 - 5) / (1 - (-1))
= (-3 - 5) / (1 + 1)
= -8/2
= -4
Plug in the slope and y-intercept, we get y = -4x + 1
837+208+363=find the sum by suitable rearrangement
Answer:
1,408
Step-by-step explanation:
208 + 363 + 837=1408
help me please someone
Step-by-step explanation:
a scale factor means that every dimension or line in the original object is multiplied with the exact same factor to create a transformed (larger or smaller) new object.
the area of an object (including a simple form like this rectangle) is always the product of 2 dimensions.
that means the scale factor is multiplied in twice creating a squared factor for the area of the new object.
so, yes, therefore the area grows or shrinks with the square of the scale factor.
FYI - following the same reason, the volume grows or shrinks with the power of 3 of the scale factor.
1. k=2
new area = k² × old area = 4 × 12 = 48 square units.
2. k=5
new area = k² × old area = 25 × 12 = 300 square units.
3. k=1
new area = k² × old area = 1 × 12 = 12 square units.
4. k=1/4
new area = k² × old area = 1/16 × 12 = 12/16 = 3/4 square units.
5. k=1.2
new area = k² × old area = (1.2)² × 12 = (12/10)² × 12 = (6/5)² × 12 = 36/25 × 12 or 1.44 × 12 = 432/25 = 17.28 square units.
Mrs. Baynes is shopping for rulers for her classroom. She wants to spend $19.75 on rulers and they cost $0.79 each. How many rulers, (r), can she buy?
Answer: 25 rulers
Step-by-step explanation:
19.75/.79=25
Answer:
25
Step-by-step explanation:
Divide the total money, by the cost of each product:
$19.75/$0.79=25
The sum of the first 10 terms of a linear sequence is 5 and the sumof the next 10 terms is 215. Find the sequence.
Answer:
The first term of the sequence is -8.95 with a common difference of 2.1.
The sequence is:
-8.95, -6.85, -4.75, -2.65...
Step-by-step explanation:
We are given that the sum of the first ten terms of a linear sequence is 5, and the sum of the next ten terms is 215.
And we want to find the sequence.
Recall that the sum of an A.P. is given by:
S = k / 2 ( a + xk)
Where a is the first term, k is the number of terms, and x_k is the last term.
We can represent our term values with the direct formula:
Xn = a + d (n-1)
Where the first term, x₁ = a.
The sum of the first ten terms is 5. Hence, S = 5, k = 10, a = x₁ and x_k = x₁₀:
(5) = 10/2 (a+xk)
5 = 5(a+(a+9d))
2a + 9d = 1
The sum of the next ten terms (that is, from x₁₁ to x₂₀) is 215. Hence, S = 215 when k = 10, a = x₁₁, and x_k = x₂₀:
(215) = (10)/2 (a + xk)
215 = 5((a+d(11-1))+(a+d(20-1)))
2a + 29d = 43
This yields a system of equations:
[tex]\left \{ {{2a+9d=1} \atop {2a+29d=43}} \right.[/tex]
Solve:
(2a + 9d) + (-2a - 29d) = (1) + (-43)
-20d = -42
d = 2.1
Consequently:
a = 1/2(1-9d)
= 1/2(1-9(2.1))
= -8.95
In conclusion, the first term of the sequence is -8.95 with a common difference of 2.1.
The sequence is:
-8.95, -6.85, -4.75, -2.65...
does the point (7 5) satisfy the equation y = x + -2
Answer:
Yes
Step-by-step explanation:
7 = x
5 = y
5 = X + - 2
5 = X - 2
If X is 7 then
5 = 7-2
5=5
yes
100 POINTS IF U GET THIS RIGHT!
Answer:
The Slope equals (-8/7)
Add (8y - 2x) + (-4y - 3x)
A. 4y - 5x
B. -4y - x
C. -4y - 5x
D. -32y + 6x
Answer:
its none of these its -6x + 4y
Step-by-step explanation:
Answer:
A. 4y - 5x
Step-by-step explanation:
8y - 4y = 4y
-2x -3x = -5x
I hope this helps!
the sum of three consecutive integers is forty -two. find the three numbers
Answer:
13, 14, 15 right?
Step-by-step explanation:
2-(-4)/0-2
What is the answer?
Answer:
the would be m=4
Step-by-step explanation:
Which set of ordered pairs represents a function?
A. {(0,5), (2,5),(4,5), (6,5), (8,5)}
B. {(3, 1), (3, 2), (3, 3), (3, 4), (3,5)}
C. {(2,3), (3, 4), (4,3), (3, 2), (2, 1)}
D. {(1, 4), (2, 4), (3, 4), (4, 3), (4, 2)}
Select all the equations that are true when x = 6.
6x = 12
17 – x = 11
x ÷ 2 = 3
19 ÷ 3 = x
5 + x = 11
Answer:
everything but the 4th are true
Step-by-step explanation:
fax
Answer:
B,C,E
Step-by-step explanation:
can someone please help me!! this assignment is due at 11:59 I need this done
Answer:
Step-by-step explanation:
Tan (theta) = opposite / adjacent
theta = 60 degrees
opposite = 15
adjacent = opposite / Tan(theta)
adjacent = 15 / tan(60)
tan(60) = sqrt(3)
sqrt(3) = 1.732
adjacent = 15 /1.732
answer: adjacent = 8.6603
Help me please I’m stuck
Answer:
Step-by-step explanation:
If 3 is width and 2 is length 3 units right 1 unit up
If 2 is width and 3 is length 2 units right 3 units up
please i really need help
The perimeter of each shape is 3 units? True or False?
An angle that measures exactly 180° is known as a/an
angle.
Answer:
supplementary angle
Step-by-step explanation:
please Mark my answer in brainlist
help please with math i beg you
a) x=24b+8v
4 * 24 = 96
120 - 96 = 24
24 / 8 = 3
b) 3
6 * 8 = 48
120 - 48 = 72
72 / 24 = 3
c) 3
120 / 8 = 15
d) 15
120 / 24 = 5
e) 5
