Answers
Answer:
see explanation
Step-by-step explanation:
tan x = -1
[tex]x = tan^{-1}(-1)[/tex]
x = -45
tan x = 5
[tex]x = tan^{-1}(5)[/tex]
x = 78.69
Answer:
See below.
Step-by-step explanation:
So we want to find the solutions to the two equations:
[tex]\tan(x)=-1 \text{ and } \tan(x)=5[/tex]
I)
[tex]\tan(x)=-1\\x=\tan^{-1}(-1)[/tex]
Recall the unit circle. First, note that the number inside tangent is negative. Because of this, we can be certain that the x (in radians) must be in Quadrant II and/or IV (This is because of All Students Take Calculus, where All is positive in QI, only Sine is positive in Q2, only Tangent is positive in Q3, and only Cosine is positive in QIV. Tangent is negative so the only possible choice are QII and QIV).
From the unit circle, we can see that x=3π/4 is a possible candidate since tan(3π/4)=-1.
Since tangent repeats every π, 7π/4 must also be an answer (because 3π/4 + π = 7π/4). And, as expected, 7π/4 is indeed in QIV.
Therefore, for the first equation, the solutions are:
[tex]x=3\pi/4 \text{ and } 7\pi/4[/tex]
II)
For the second equation, there is no exact value for which tangent of an angle would be equal to 5. Thus, we need to approximate.
So:
[tex]\tan(x)=5\\x=\tan^{-1}(5)\\x=\tan^{-1}(5) \text{ and } \tan^{-1}(5)+\pi[/tex]
We got the second answer because, like previously, tangent repeats every π, so we only need to add π to get the second answer.
In approximations, this is:
[tex]x\approx1.3734 \text{ and } x\approx4.5150[/tex]
Note: All the answers are in radians.
Related Questions
Tristan wants to build a Square Garden in his backyard that will cover an area of 75 ft.² if Tristan has 32 feet of material for the parimeter are the garden does he have enough explain
Answers
Answer:
u47464 is not working properly a lot and a new message was delivered at a loss or so to do a little better for your help you
Find the equation of the line that
is parallel to y = 4x + 1 and
contains the point (1, 1).
y = [? ]X + [ ]
Answers
The equation of a line is:
[tex] \displaystyle \large{y - y_1 = m(x - x_1)}[/tex]
Since the line has to be parallel to line y = 4x+1. Hence, m = 4.
[tex] \displaystyle \large{y - y_1 = 4(x - x_1)}[/tex]
Given point is (1,1). Let this be the following:
[tex] \displaystyle \large{(x_1,y_1) = (1,1)}[/tex]
Substitute the point in.
[tex] \displaystyle \large{y - 1 = 4(x - 1)}[/tex]
Convert the equation in a slope-intercept form or function form.
First, distribute 4 in the expression.
[tex] \displaystyle \large{y - 1 = 4x - 4}[/tex]
Add 1 on both sides.
[tex] \displaystyle \large{y - 1 + 1 = 4x - 4 + 1} \\ \displaystyle \large{y = 4x - 3}[/tex]
Hence, the line that is parallel to y = 4x+1 and passes through (1,1) is y = 4x-3
complete the sentence. in ABC, if m CAD =29°, the m DAB is____?
Answers
Answer:
sorry on the wrong one
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
29 is the ffggy and the
Please help what are the slope and the y intercept of the linear function that is represented by the table?
Answers
Answer:
The slope is -2, the y-intercept is 12
Step-by-step explanation:
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Chose any two coordinates pair. Let's make use of:
[tex] (0, 12) = (x_1, y_1) [/tex]
[tex] (3, 6) = (x_2, y_2) [/tex]
Thus,
[tex] slope (m) = \frac{6 - 12}{3 - 0} [/tex]
[tex] slope (m) = \frac{-6}{3} [/tex]
[tex] slope (m) = -2 [/tex]
Using the slope-intercept equation, find the y-intercept, b, as follows:
[tex] y = mx + b [/tex]
Use any coordinate pair as x and y, then solve for b.
Let's use (3, 6)
[tex] 6 = (-2)(3) + b [/tex]
[tex] 6 = -6 + b [/tex]
Add 6 to both sides
[tex] 6 + 6 = - 6 + b + 6 [/tex]
[tex] 12 = b [/tex]
The slope (m) of the linear function that is represented by the table is -2, while the y-intercept (b), is 12.
Answer:
The slope is –2, and the y-intercept is 12.
Step-by-step explanation:
I used it and got it right
what is the perimeter of rhombus ABCD ?
Answers
Answer:
20
Step-by-step explanation:
Since you can use the Pythagorean theorem to calculate the length of the hypotenuse, each side can be found to be 5. There are four equal sides, so it is 20.
Simplify. x/4+x/3//x/2
Answers
Answer:
Step-by-step explanation:
Help please on this question. I’d appreciate it if you answered.
Answers
Ok so the letters overwrap all of the alphabets and the other terms are in.
Answer:
see below
Step-by-step explanation:
Consonants and vowels do not overlap
There are no consonants that are vowels and no vowels that are consonants
That means the circles will never touch
The area of a square field is 1 17/64 m2. What is the perimeter of the square field? Can some1 say this ans fast pls
Answers
Answer:
5.41 m
Step-by-step explanation:
First, let's find a side length by taking the square root of the area.
117/64 ^ 1/2 = 1.352...
Next, we need to multiply by 4.
1.352... x 4 = 5.408...
= approximately 5.41
Given the two figures are similar, calculate the value of y
Answers
Answer:
y+1/12.5=2/5
or,5y+5=25
ory=20/5
so, y=4
Step-by-step explanation:
hope it helps you
In April, the number of cars sold was 546.
This was an increase of 5% on the number of cars sold in March.
Calculate the number of cars sold in March.
Answers
Answer:
520 cars
Step-by-step explanation:
Let the car sold in March be x, x+5%*x=546. (105/100)*x=546. x=520
If there was an increase of 5% on the number of cars sold in March, the number of cars sold in March was approximately 520.
To calculate the number of cars sold in March, we'll use the information that the number of cars sold in April was an increase of 5% compared to March.
Let's assume the number of cars sold in March is represented by 'x'.
According to the given information, the number of cars sold in April was 546, which is equal to 100% + 5% of the number of cars sold in March.
We can set up the equation:
x + 0.05x = 546
Combining like terms, we get:
1.05x = 546
To solve for 'x', we divide both sides of the equation by 1.05:
x = 546 / 1.05
Using a calculator, we find:
x ≈ 520.00
To learn more about increase/decrease click on,
https://brainly.com/question/32809346
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Chloe rolled 2 dice. Given that one die showed a 6, what is the probability that she rolled double 6? (Hint: Conditional Probability)
Answers
Answer:
1/6
Step-by-step explanation:
since they already tells us six has been rolled already, we depend on the second which can only show 1-6. There are six numbers so the answer is 1/6
For the function F(x)= 1/x-2 whose graph is shown below, what is the relative value of F(x) when the value of x is close to 2?
Answers
Answer:
10,000
Step-by-step explanation:
Kyle stood on a bridge and threw a rock up and over the side. The height of the rocks in meters can be approximated by approximated by -5t^2+5t+24, where T is the time in seconds after car through it completely factor the expression
Answers
Answer:
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747)
Step-by-step explanation:
The given expression is -5·t² + 5·t + 24
To factorize the expression by completing the square method, we equate the expression to zero to get;
-5·t² + 5·t + 24 = 0
WE divide by -5 to get;
t² - t - 24/5 = 0
t² - t = 24/5
t² - t + 1/4 = 24/5 + 1/4
(t - 1/2)² = 5.05
t - 1/2 = ±√5.05
t = 1/2 + √5.05, 1/2 - √5.05
The factorized expression becomes;
(t - 1/2 + √5.05) and (t - 1/2 - √5.05)
Which gives;
(t - 2.747) ×(t - 1.747)
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747).
PLEASE HELP ILL LOVE U FOREVER
In Exercise 4, find the surface area of the solid
formed by the net.
Answers
Round the approximate value however you need to
Units are in square centimeters.
===================================================
Work Shown:
You have the 160 portions correct since 20*8 = 160.
The other pieces are equilateral triangles, in which we use the formula
[tex]A = \frac{\sqrt{3}}{4}x^2[/tex]
where x is the side length of the triangle. Plug in x = 8 to get
[tex]A = \frac{\sqrt{3}}{4}x^2\\\\A = \frac{\sqrt{3}}{4}8^2\\\\A = \sqrt{3}*\frac{1}{4}*64\\\\A = \sqrt{3}*16\\\\A = 16\sqrt{3}\\\\[/tex]
That's the exact area of one triangle, but we have two of them. Double the result to get [tex]2*16*\sqrt{3} = 32\sqrt{3}[/tex]
The total surface area is the sum of all the smaller areas
[tex]160+160+160+32\sqrt{3} = 480+32\sqrt{3}[/tex]
--------------------------
The exact surface area is [tex]480+32\sqrt{3}[/tex] square cm.
Using a calculator, you should get [tex]480+32\sqrt{3} \approx 535.425625842204[/tex]
Round this however you need to.
Graph the line that passes through the points (1,-6) and (2,-5) and determine the equation of the line.
Answers
Answer:
y=x-7
Step-by-step explanation:
Slope of the line is (-5+6)/(2-1)=1. Equation of the line is y=x-7
The height of a triangle is 5cm more than half the base of the triangle. The area of the triangle is 6cm^2. Find the base and height of the triangle
Answers
Answer:
Base = 2 cm and height = 6 cm.
Step-by-step explanation:
Area = 1/2 * base + height
Let b be the base and h = height of the given triangle, then
6 = b/2 * h
6 = b/2(b/2 + 5)
b^2/4 + 5b/2 - 6 = 0
b^2 + 10b - 24 = 0
(b + 12)(b - 2) = 0
b = 2 (we neglect the negative b = -12)
So h = b/2 + 5 = 2/2 + 5 = 6.
4. Which property of similarity can be used to prove triangles DEF and GHI are similar?
Answers
Answer:
SSS
Step-by-step explanation:
We know all three sides of both triangles. The common ratio of DEF to GHI is 2/3.
Answer:
SSS
Step-by-step explanation:
Similar triangles must have congruent corresponding angles and proportional corresponding sides.
What are the terms in the expression 13y + 4p + 11?
A.17y + P
B.13y, 4p, 11
C.13, 4, 11
Answers
Answer:
Step-by-step explanation:
Option B is the correct answer
Find the value of z.
Answers
Answer:
Option D, 110
Step-by-step explanation:
first we find x
10x+20-80=2(2x+15)
or, x=15
now, 10x+20 = 170
so, z = 360-170-80 = 110
Tom finished reading 3/7 of a book in the first week, and he read 3/4 of the remainder in the second week. what fraction is left?
Answers
Answer:
1/7 is left
Step-by-step explanation:
What is left to read after the first week
1 - 3/7
7/7 - 3/7
4/7
He read 3/4 of this the second week
4/7 * 3/4
3/7 was read
4/7 - 3/7 is what is left
1/7 is left
Answer:
The correct answer is
Step-by-step explanation:
1/7 of the book is left to read.
Hope this helps....
Have a nice day!!!!
Solve for x.
5x – 3 = 2x +12
Answers
Answer:
X = 5
HOPE IT IS HELPFULLY.Which graph represents 7x+2y< 8
Answers
Answer:
Graph C.
Step-by-step explanation:
Hi there!
Well let’s first put,
7x + 2y < 8
We need to single out y.
7x + 2y < 8
-7x to both sides
2y < -7x + 8
Divide everything by 2,
y < -7/2x + 4
Well the shade on the graph should be going down because it is y is less than,
And the y intercept should be at 4 with a dotted line and a slope of -7/2.
So graph C. Is correct.
Hope this helps :)
The graph that represents the inequality 7x + 2y < 8 will be graph C.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The inequality is given as,
7x + 2y < 8
Simplify the equation in slope-intercept form, then we have
7x + 2y < 8
2y < 8 - 2x
y < (8 - 2x) / 2
The value of the variable 'y' is less. Then the graph that represents the inequality 7x + 2y < 8 will be graph C.
More about the inequality link is given below.
https://brainly.com/question/19491153
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Multiply. √6x⋅√15xy⋅√20 Please answer as quickly as possible
Answers
Answer:
[tex]30x\sqrt{2y}[/tex]
Step-by-step explanation:
First, multiply sqrt.(6x) by sqrt.(15xy)
That equals sqrt.[tex]\sqrt{90x^{2}y } *\sqrt{20}[/tex]
then, rewrite [tex]90x^{2} y[/tex] as (3x)^2 * (10y)
you have [tex]\sqrt{(3x)^{2} *(10y)} *\sqrt{20}[/tex]
Next, pull the terms from out under the radical, to get:
[tex]3x\sqrt{10y} *\sqrt{20}[/tex]
Now rewrite 20 as 2^2 * 5
You get [tex]3x\sqrt{10y} *(2\sqrt{5} )[/tex]
Multiply everything together to get: [tex]6x\sqrt{50y}[/tex]
Now rewrite 50 y as 5^2 * 2y
You end up with [tex]6x\sqrt{5^{2}*(2y)}[/tex]
Then, pull out the terms from under the radical. You get:
[tex]6x(5\sqrt{2y})[/tex]
Finally, multiply the 5 and 6 together to get: [tex]30x\sqrt{2y}[/tex]
Answer:
[tex]\boxed{30\sqrt{2} x^2 y}[/tex]
Step-by-step explanation:
[tex]\sqrt{6} *x*\sqrt{15} * x*y*\sqrt{20}[/tex]
[tex]\sf Multiply[/tex]
[tex]\sqrt{6}\sqrt{15}\sqrt{20}*x*x*y[/tex]
[tex]\sqrt{6*15*20}*x^2 *y[/tex]
[tex]\sqrt{1800}x^2y[/tex]
[tex]\sf Simplify[/tex]
[tex]\sqrt{900} \sqrt{2} x^2y[/tex]
[tex]30\sqrt{2} x^2 y[/tex]
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у
1
-4 -7
7
13
- 10
19
-13
3
Is the relationship shown by the data linear? If so, model the data with an equation.
Answers
Answer:
Yes and the equation is 2y=-x-7
Step-by-step explanation:
Yes the relation is linear, the slope of the equation will be - 3/6=-1/2, the equation of line will be y=(-1/2)x-3.5. 2y=-x-7
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answers
Given that :
Diameter (d) = 18 cm
Pi (π) = 3.14
Radius (r) = d/2 = 18/2 = 9 cm
We know that volume of sphere is
Volume of Sphere = 4/3πr³
Volume = 4/3 × 3.14 × (9)³
Volume = 4/3 × 3.14 × 729
Volume = 4 × 3.14 × 243
Volume = 12.56 × 243
Volume = 3052.08
Hence, the volume is 3052.08 cm³
31. Which choice describes the value of m when -5(m + 1) = 23?
А
B.
m 2-3
ms-
6 m2
D.ms-
Answers
Answer:
The correct choice is Option A. m ≥ -28/5
Step-by-step explanation:
Question 3 of 18
Suppose the probability of success in a binomial trial is 0.26. What is the
probability of failure?
A. 0.26
B. 0.65
O C. 0.35
O D. 0.74
Answers
Answer:
D. 0.74.
Step-by-step explanation:
It is a BINOMIAL trial, which means that there are only two outcomes: either success, or failure.
So, if the probability of success is 0.26, the probability of failure will be 1 - 0.26 = 0.74.
Hope this helps!
I’m so cool taht you should help me!
Answers
Answer:
See figure below.
Step-by-step explanation:
Start with each expression in the right column.
Combine like terms, and look for the answer in the left column.
See figure below.
Answer:
:4t+8=1-9t+7+6t+7t.
:-2t-9=2t-t-4-3t-5.
:-4t+8=-5t+8+t.
:2t-9=-t+3+3t-12.
Find x
A. 33
B. 44√3
C. 33√2
D. 11√3
Answers
Answer:
d
Step-by-step explanation:answer is d on edg
help me you im in danger right now
Answers
Answer:
B
Step-by-step explanation:
The student's mistake was between Step 1 and Step 2.
Here, on the left side, they added 6x and 2x. The result should be 8x, not 4x.
It should be 8x-15=3x-75, not 4x-15=3x-75.