Answer:
See the answer below.
Step-by-step explanation:
We know that: [tex]d=S\times t[/tex]
So, using the given data, we can write an equation for the total distance travelled as:
[tex]3\times S+4\times (S+10)=335\\\\\Rightarrow S\approx 42.1\:Km/h[/tex]
Best Regards!
Select the correct answer. Compare the two functions.
-
Which statement is true?
A. As x increases, the rate of change of f(x) exceeds the rate of change of g(x).
B. As x increases, the rate of change of g(x) exceeds the rate of change of f(x).
C. At x = 2, the rate of change of g(x) is equal to the rate of change of f(x).
D. On every interval of x, the rate of change of f(x) exceeds the rate of change of g(x).
In other words, f(x) grows faster after a certain point. This is true when comparing any exponential curve to a linear one.
Choice B is false as it contradicts choice A.
Choice C is false as the tables show the function outputs are equal at x = 2, not the rates of change
Choice D is false because there are infinitely many intervals where f(x) grows slower compared to g(x). That's why I mentioned the "after a certain point" portion.
Answer:
A
Step-by-step explanation:
Zero product property
x(2x+4)(x+5)=0
A) x=0, x=-2, X=-5
B) x=0, x=2, x=5
C) x greater than or equal to 0
D) x=-2, x=5
Answer:
A
Step-by-step explanation:
Using ZPP we get x = 0, 2x + 4 = 0, x + 5 = 0. Solving these, we get x = 0, x = -2, x = -5.
Find the area in square centimeters of the composite shape shown
below. Enter only a number as your answer.
A
E
13 cm
D
11 cm
7 cm
B
18 cm
C
Answer:
73cm²
Step-by-step explanation:
Area of rectangle=½ length×width
=½×18×7
=63cm²
Area of triangle=½b×h
base=18-13= 5cm
height=11-7 =4cm
½×b×h
½×5×4
=10cm²
Area of total=63+10
73cm²
Answer: 73c2
Step-by-step explanation:
Callie has a new kitten. The kitten weighs 3 pounds less than half the weight of Callie’s cat. Together, the cat and the kitten weigh 18 pounds. Which system of equations could be used to find the weight of each animal?
Answer:
y = [tex]\frac{1}{2} x - 3[/tex]
x + y = 18
Step-by-step explanation:
Let the kitten's weight be y and the cat's weight be x
Condition # 1:
y = [tex]\frac{1}{2} x - 3[/tex]
Condition # 2:
x + y = 18
Which set of ordered pairs represents a function?
{(-3,4), (-7,2), (-7,-4),(-9, -5)}
{(-2,4), (0,5),(-9,9),(-9,7)}
{(-4,-6), (-7, -5),(-4,-7), (1,1)}
{(5,-2), (-8,-6),(4, -2), (-6,3)}
Answer:
The correct answer is D.
Step-by-step explanation:
A function is when an input value has only one output value.
It cannot be A, because -7 produces both 2 and -4.
It cannot be B, because -9 produces both 9 and 7.
It cannot be C, because -4 produces both -6 and -7.
Therefore, it has to be D.
PLSSSS HELPPP. The price of a tennis racquet is inversely proportional to its weight. If a 20 oz. racquet cost $30.00, what would a 25 oz. racquet cost?
Answer:
$24 will be the cost of tennis racquet with weight 25 oz.
Step-by-step explanation:
Given that Price of racquet is inversely proportional to its weight.
i.e.
[tex]Price \propto \dfrac{1}{Weight}[/tex]
We can replace the proportional sign with a constant of proportionality.
[tex]Price = \dfrac{C}{Weight}[/tex]
Where C is a constant named as constant of proportionality.
Given that cost of 20 oz. racquet is $30.00
Putting both the values :
[tex]30 = \dfrac{C}{20}\\\Rightarrow C = 600[/tex]
So, the equation becomes:
[tex]Price = \dfrac{600}{Weight}[/tex]
Now, we have to find the price of 25 oz. racquet.
Putting Weight = 25 oz and finding Price:
[tex]Price = \dfrac{600}{25}\\\Rightarrow Price = \$24[/tex]
So, $24 will be the cost of tennis racquet with weight 25 oz.
precalc! how do you solve by completing the square? i have 2 examples! (17 & 18 please) tysm <3
Answer:
17) x = 11, -8
18) exact form: x = + 2 sqaure root 6/ 3 + 2
I hope this helps :)
Quiero volver a aprender matemáticas Pero Nose de donde empezar Que me recomiendan?
¡Khan Academy es una excelente manera de comenzar! ¡Empecé a aprender desde allí y es gratis!
Find the equation of the line.
Answer:
y = [tex]-\frac{1}{3}x+5[/tex]
Step-by-step explanation:
Let the equation of the given line is,
y = mx + b
where 'm' = slope of the line
b = y-intercept of the line
Since slope of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is represented by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
If the points are (0, 5) and (-3, 6),
Slope of the line 'm' = [tex]\frac{6-5}{-3-0}[/tex]
= [tex]-\frac{1}{3}[/tex]
y-intercept of the line 'b' = 5
Therefore, equation of the given line will be,
y = [tex]-\frac{1}{3}x+5[/tex]
Which equation is parallel to y= 3/4x + 4 and passes through the point (0,2)
A. Y=4/3x - 2
B. Y=3/4x - 2
C. Y=3/4x + 2
D. Y= 4/3x + 2
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{3}{4}[/tex] x + 4 ← is in slope- intercept form
with slope m = [tex]\frac{3}{4}[/tex]
Parallel lines have equal slopes, thus this is slope of parallel line.
The line crosses the y- axis at (0, 2) ⇒ c = 2
y = [tex]\frac{3}{4}[/tex] x + 2 → C
Gum
Packages of gum
Pieces of gum
1
15
2
30
3
45
4
How many pieces of gum are in 4 packages of gum?
Answer:
60 pieces
Step-by-step explanation:
The rate of pieces to packages is 15/1.
Multiply this rate by 4 to get the answer.
15 * 4 = 60
━━━━━━━☆☆━━━━━━━
▹ Answer
60 pieces of gum
▹ Step-by-Step Explanation
[tex]\left[\begin{array}{cccc}1&2&3&4\\15&30&45&60\\\end{array}\right][/tex]
The pattern is multiply the number of packs by 15 therefore, the answer will be 60 pieces of gum.
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Marta Fuentes had a balance of $1,200.50 in her checking account. The bank issued her a credit of
$505 and charged her $12 for new checks. Thee will be no outstanding checks or deposits. What
should her checkbook balance be?
Answer:
$683.50Step-by-step explanation:
Initial balance of Marta Fuentes = $1200.50
Charge made by her bank;
Credit of $505 and Charge on new checks is $12.
Total charge incurred = $505+$12
Total charge incurred = $517
Since there will be no outstanding checks or deposit, her checkbook balance will be the difference between the initial balance and amount charged by the bank.
Checkbook balance = $1200.50 - $517
Checkbook balance = $683.50
Hence her checkbook balance should be $683.50
A triangle has side lengths of 13, 9, and 5. Is the triangle a right triangle? Explain.
2Points
Use complete sentences in your explanation.
Hint: Pythagorean Theorem: a^2+ b^2 = c^2
Answer: This triangle is not a right triangle
Step-by-step explanation:
In a right triangle, the hypotenuse(c) is always the longest side and a and b are the shorter sides. Thus, 5^2+9^2=13^2. Simplify this to get 25+81=169, then 106=169. Because 106 does not equal 169, it is not a right triangle.
Hope it helps <3
There is a strong positive linear correlation between rainfall and the number of apples a tree produces.
Answer: C. Yes, this means more rainfall causes apple trees to produce more fruit.
Step-by-step explanation:
A positive correlation exists when one variable increases as the other variable increases.
Therefore, a strong positive linear correlation between rainfall and the number of apples a tree produces definitely means that increase in rainfall will increase the a production of apple fruit.Therefore, a strong positive linear correlation between rainfall and the number of apples a tree produces means that more rainfall causes apple trees to produce more fruit.
Yes, this means more rainfall causes apple trees to produce more fruit.
We have given that,
There is a strong positive linear correlation between rainfall and the number of apples a tree produces.
When does the positive correlation exist?A positive correlation exists when one variable increases as the other variable increases.
Therefore, a strong positive linear correlation between rainfall and the number of apples a tree produces definitely means that increase in rainfall will increase the production of apple fruit. Therefore, a strong positive linear correlation between rainfall and the number of apples a tree produces means that more rainfall causes apple trees to produce more fruit.
Option C is correct.
Yes, this means more rainfall causes apple trees to produce more fruit.
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For each of the following system of linear equations, state the number of solutions without solving the system. a) -x+3y=9, -4x+12y=12 b) 2x-y-4=0,6x=3y+12
Answer:
a) ONE SOLUTIONb) INFINITE SYSTEM OF SOLUTIONSStep-by-step explanation:
Given the system of equations;
a) x+3y=9
-4x+12y=12
This equation is a linear simultaneous equation with 2 equations and two unknown values. When the number of equations given is equal to the number of unknown variables, this means that the solution sets of the equations are unique and real and will provide us with just one solution.
b) For the system of linear equation
2x-y-4=0 .... *3
6x=3y+12 ... *1
First lets multiply equation 1 by 3, om multiplying by 3 we will have;
6x-3y-12 = 0
6x-3y = 0+12
6x-3y = 12
Rearranging equation 2 will give;
6x - 3y = 12
It is seen that both equation ate the same. This means that what we have is one equation with two unknowns. For a system of equation with one equation and two unknowns, there will be infinite number of solutions after solving the equation. Hence, the number of solutions for this system of equation is INFINITE
The formula for working out the cost of hiring a canoe is : cost=£15+6* number of hours. Megan paid £27 to hire a canoe. How long did she hire the canoe for
Answer:
Megan hired the canoe for 2 hours
Step-by-step explanation:
Given:
Cost(h) = 6h+15 = 27
Solution
6h+15 = 27
6h = 27-15 = 12
h = 2
The lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of days. About what percentage of births would be expected to occur within days of the mean pregnancy length?
About what% of births would be expected to occur within days of the mean pregnancy length.
Answer: About 99.74% of births would be expected to occur within 24 days of the mean pregnancy length.
Step-by-step explanation:
Complete question is attached below.
Given: The lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of 8 days.
i.e. [tex]\sigma= 8[/tex]
let X denotes the random variable that represents the lengths of pregnancy.
The probability of births would be expected to occur within 24 days of the mean pregnancy length:
[tex]P(\mu-24<X<\mu+24)=P(\dfrac{\mu-24-\mu}{8}<\dfrac{X-\mu}{\sigma}<\dfrac{\mu+24-\mu}{8})\\\\=P(\dfrac{-24}{8}<Z<\dfrac{24}{8})\ \ \ [\because Z=\dfrac{X-\mu}{\sigma}]\\\\=P(-3<Z<3)\\\\=P(Z<3)-P(Z<-3)\\\\=P(Z<3)-(1-P(Z<3))\\\\=2P(Z<3)-1[/tex]
[tex]= 2(0.9987)-1\ \ \ [\text{ By z-table}]\\\\=0.9974[/tex]
=99.74%
Hence, about 99.74% of births would be expected to occur within 24 days of the mean pregnancy length.
Which letter of the alphabet is next in the series?
JOTYD
(A) I (B) J (C) K (D) L
Answer:
(A) I
Step-by-step explanation:
With the numbers, I can correspond to a series of numbers to one of the 26 letters of the English language. Like the Roman numeral system, a number adds if the next one in the sequence is smaller, and vice versa if it is larger. Combining the structure of the Roman numerals with the numbers 1, 2, 5, 10, and 20 makes it so that you never have to use more than 3 numbers to express a letter.
Answer: it is (A)
Step-by-step explanation:
I been stuck on this question for the longest please help
Answer: C. [tex]\sqrt{9} * \sqrt{4}[/tex]
Step-by-step explanation:
There is a square root rule that states [tex]\sqrt{x*y} = \sqrt{x} * \sqrt{y} \\[/tex]
We can apply this rule to this problem.
Given [tex]\sqrt{9*4}[/tex]
We can use the rule to make it equal to [tex]\sqrt{9} * \sqrt{4}[/tex]
This is answer choice C.
Answer: c
Step-by-step explanation: 9*4=36 36* 36 = 1296
9 * 9 = 81 4 * 4 = 16 81 * 16 = 1296 hope this helps
PLEASE HELP ILL GIVE BRAINLIEST!!
What is the solution to this system of equations?
Answer:
B. (4.75,-22)
Step-by-step explanation:
Step: Solve 3.2x+0.5y=4.2for x:
3.2x+0.5y=4.2
3.2x+0.5y+−0.5y=4.2+−0.5y(Add -0.5y to both sides)
3.2x=−0.5y+4.2
3.2x
3.2
=
−0.5y+4.2
3.2
(Divide both sides by 3.2)
x=−0.15625y+1.3125
Step: Substitute−0.15625y+1.3125 for x in−1.6x−0.5y=3.4:
−1.6x−0.5y=3.4
−1.6(−0.15625y+1.3125)−0.5y=3.4
−0.25y−2.1=3.4(Simplify both sides of the equation)
−0.25y−2.1+2.1=3.4+2.1(Add 2.1 to both sides)
−0.25y=5.5
−0.25y
−0.25
=
5.5
−0.25
(Divide both sides by -0.25)
y=−22
Step: Substitute−22 for y in x=−0.15625y+1.3125:
x=−0.15625y+1.3125
x=(−0.15625)(−22)+1.3125
x=4.75(Simplify both sides of the equation)
Let f(x) = 1/x . Find the number b such that the average rate of change of f on the interval [2, b] is − 1/8
Answer:
b=4
Step-by-step explanation:
So, we have the function [tex]f(x)=1/x[/tex]. We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).
f(2) = 1/(2) = 1/2
So, we have the point (2, 1/2)
At point b, f(b) = 1/b.
Let's plug this into the slope formula:
[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{.5-\frac{1}{b} }{2-b} =-1/8[/tex]
Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).
[tex]\frac{.5b-1}{2b-b^2} =\frac{-1}{8}[/tex]
Now, cross multiply.
[tex]4b-8=b^2-2b[/tex]
[tex]b^2-6b+8=0[/tex]
Solve for b. Factor using the numbers -4 and -2.
[tex]=(b-4)(b-2)=0[/tex]
Thus, b=4 or b=2.
However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.
We want to find an interval such that the given equation, f(x) = 1/x, has an average rate of change of -1/8 in that interval.
We will see that the interval is [2, 4]
-------------------------------
For a function f(x), the average rate of change in the interval [a, b] is given by:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
Here we have:
[tex]f(x) = 1/x[/tex]
And the interval is [2, b] such that r in that interval is -1/8, so we need to solve:
[tex]r = -1/8 = \frac{f(b) - f(2)}{b - 2} = \frac{1/b - 1/2}{b - 2}[/tex]
We can rewrite it to:
[tex]-1/8 *(b - 2)= 1/b - 1/2\\\\-1/8 *(b - 2)= 2/2b - b/2b = (2 - b)/2b = -(b - 2)/2b[/tex]
Now we can remove the term (b - 2) because it appears on both sides, so we get:
[tex]-1/8 = -1/2b\\1/8 = 1/2b\\2/8 = 1/b\\1/4 = 1/b\\b = 4[/tex]
Then we found that b must be equal to 4, so the interval is [2, 4]
If you want to learn more, you can read:
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Which describes how square S could be transformed to square S prime in two steps? Assume that the center of dilation is the origin. On a coordinate plane, square S has points (0, 0), (5, 0), (5, negative 5), (0, negative 5). Square S prime has points (0, 1), (0, 3), (2, 3), (2, 1). a dilation by a scale factor of Two-fifths and then a translation of 3 units up a dilation by a scale factor of Two-fifths and then a reflection across the x-axis a dilation by a scale factor of Five-halves and then a translation of 3 units up a dilation by a scale factor of Five-halves and then a reflection across the x-axis
Answer:
The correct option is;
A dilation by a scale factor of Two-fifths and then a translation of 3 units up
Step-by-step explanation:
Given that the coordinates of the vertices of square S are
(0, 0), (5, 0), (5, -5), (0, -5)
Given that the coordinates of the vertices of square S' are
(0, 1), (0, 3), (2, 3), (2, 1)
We have;
Length of side, s, for square S is s = √((y₂ - y₁)² + (x₂ - x₁)²)
Where;
(x₁, y₁) and (x₂, y₂) are the coordinates of two consecutive vertices
When (x₁, y₁) = (0, 0) and (x₂, y₂) = (5, 0), we have;
s = √((y₂ - y₁)² + (x₂ - x₁)²) = s₁ = √((0 - 0)² + (5 - 0)²) = √(5)² = 5
For square S', where (x₁, y₁) = (0, 1) and (x₂, y₂) = (0, 3)
Length of side, s₂, for square S' is s₂ = √((3 - 1)² + (0 - 0)²) = √(2)² = 2
Therefore;
The transformation of square S to S' involves a dilation of s₂/s₁ = 2/5
The after the dilation (about the origin), the coordinates of S becomes;
(0, 0) transformed to (remains at) (0, 0) ....center of dilation
(5, 0) transformed to (5×2/5, 0) = (2, 0)
(5, -5) transformed to (2, -2)
(0, -5) transformed to (0, -2)
Comparison of (0, 0), (2, 0), (2, -2), (0, -2) and (0, 1), (0, 3), (2, 3), (2, 1) shows that the orientation is the same;
For (0, 0), (2, 0), (2, -2), (0, -2) we have;
(0, 0), (2, 0) the same y-values, (∴parallel to the x-axis)
(2, -2), (0, -2) the same y-values, (∴parallel to the x-axis)
For (0, 1), (0, 3), (2, 3), (2, 1) we have;
(0, 3), (2, 3) the same y-values, (∴parallel to the x-axis)
(0, 1), (2, 1) the same y-values, (∴parallel to the x-axis)
Therefore, the lowermost point closest to the y-axis in (0, 0), (2, 0), (2, -2), (0, -2) which is (0, -2) is translated to the lowermost point closest to the y-axis in (0, 1), (0, 3), (2, 3), (2, 1) which is (0, 1)
That is (0, -2) is translated to (0, 1) which shows that the translation is T((0 - 0), (1 - (-2)) = T(0, 3) or 3 units up
The correct option is therefore a dilation by a scale factor of Two-fifths and then a translation of 3 units up.
Answer:
a
Step-by-step explanation:
: Resolver el sistema de ecuaciones por el método de reducción. -x + 3y = 6 x + y = 2
Answer:
[tex]x=0\\y=2[/tex]
Step-by-step explanation:
El método de reducción también llamado Suma y Resta, consiste en multiplicar una o ambas ecuaciones de tal manera que los coeficientes de una de las incógnitas sean iguales y de signo contrario, de tal forma que se eliminen al sumar las ecuaciones.
Nuestras ecuaciones son:
[tex]-x+3y=6\\x+y=2[/tex]
En este caso podemos observar que x y -x son iguales y de signo contrario así que no tendremos que multiplicar y podemos sumar ambas ecuaciones.
Al sumarlas tenemos que:
[tex]4y=8\\y=2[/tex]
Ahora sustituímos el valor que encontramos de y en la segunda ecuación para poder obtener el valor de x.
[tex]x+y=2\\x+2=2\\x=2-2\\x=0[/tex]
Por lo tanto, x = 0 y y = 2
the product of two rational number is -10/9. If one of the number is -5/27 ,find the other.
Answer:
Step-by-step explanation:
Let the unknown number = x
[tex]x *\frac{-5}{27}=\frac{-10}{9}[/tex]
x = [tex]\frac{-10}{9}[/tex] ÷ [tex]\frac{-5}{27}[/tex]
[tex]x=\frac{-10}{9}*\frac{-27}{5}\\\\\\x=-2* - 3\\x = 6[/tex]
Tonia and trinny are twins. Their friends give them identical cakes for their birthday. Tonia eats 1/8 of her cake and trinny eats 1/6 of her cake. How much cake is left? please show working thank youu
Answer:
[tex]\frac{7}{12}[/tex] of the cake
Step-by-step explanation:
add [tex]\frac{1}{8}[/tex] and [tex]\frac{1}{6}[/tex] to see the total amount of cake eaten.
a. find the common denominator: 8 x 3 = 24 and 6 x 4 = 24
b. multiply accordingly to get the correct numerator: [tex]\frac{3}{24}[/tex] + [tex]\frac{4}{24}[/tex]
c. add: [tex]\frac{3}{24}[/tex] + [tex]\frac{4}{24}[/tex] = [tex]\frac{7}{24}[/tex]
subtract found value from total to find left over cake.
a. 24 - 7 = 14
simplify.
a. [tex]\frac{14}{24}[/tex] = [tex]\frac{7}{12}[/tex]
You are left with [tex]\frac{7}{12}[/tex] of the cake.
pleaz!!! some body help with number #4 at the bottom
Answer:
See my explanation
Step-by-step explanation:
-2x + (x - 4) = 18
-x - 4 = 18
-x = 22 <- this is wrong in question writing as x = 22
so, x = -22
True or False? All equiangular triangles are similar.
Answer:
True
Step-by-step explanation:
All equiangular triangles are similar.
PLEASE HELP! Manufacturers often alter different packages to save money and to grab customers attention. Explain using an example, how changes in the dimensions of common geometric shapes will affect the volume of the following shapes: prisms, cylinders, cones and spheres.
Answer:
An example of a prism could be a an amazon box to represent a rectangular prism. As the height, length, or width of the box increases, the volume increases allowing more items to fit within the box.
An example of a cone would be an ice cream cone. As the height or the radius of the cone increases, the more volume the cone can hold, meaning more ice cream for you.
An example of a cylinder could be a cup. As the height or the radius of the cup increases, the larger the volume. More drink for you.
An example of a sphere would be a soccer ball. As the radius increases, the volume of the ball increases. Hence, larger soccer balls have a bigger radius than smaller soccer balls. This allows for different varients of the ball to be created (i.e., youth, highschool, college, pro).
Note, the volume can also be decreased by simply shrinking the measurements instead of increasing them.
Step-by-step explanation:
Let's simply look at the equations of each shape.
Volume of a prism = base * height
Volume of a cone = Pi * r^2 * (height/3)
Volume of a cylinder = Pi * r^2 * height
Volume of a sphere = (4/3) Pi r^3
Notice that the volumes of prisms, cones, and cylinders directly correlate to height. As height increases, the volume increases. The sphere is unique in that the height is 2 * radius; however, the volume is related to the cube of the radius. Consider if you expanded the radius of the sphere, the volume will increase.
Answer:
Increase or decrease the dimensions of objects. See below for an explanation!
Step-by-step explanation:
An amazon box, which is a rectangular prism, is an example of a prism. If you increase the height, length, or width of the box, you can fit more stuff inside.
A cup is an example of a cylinder; by increasing the height or radius of the cup, you can fit more of a drink inside.
An icecream cone is an example of a cone; if the height or radius were increased, you might fit more ice cream inside.
A soccer ball is an example of a sphere; increasing the radius makes it larger, and various sizes are available for different levels.
You may also shrink the dimensions for each of these objects to make them smaller.
Hope this helps!
does not
Ether.
1-36. If y varies directly with x and y is 12 when x is 4, then
what is y when x is 8?
what is when x is 3?
what is x when y is 6?
a.
b.
n.
C.
Answer:
Step-by-step explanation:
Hello!
Y varies directly with X, meaning that every time X increases/ decreases, the value of Y is modified.
If Y=12 when X=4 then you can say that Y varies 3 times every time X varies 1 unit
12= 4*z
z=12/4= 3
So Y= 3x
With this in mind:
1) x= 8
Y= 3*8= 24
2) x= 3
Y= 3*3= 9
3) Y= 6
Y= 3x
x=Y/3= 6/3= 1
I hope this helps!
i attached the question in the image below
Answer:
45°
Step-by-step explanation:
[tex]tan^{-1}(1)[/tex] = 45°
Answer:
[tex]\huge\boxed{\theta=45^o\ \vee\ \theta=225^o}[/tex]
Step-by-step explanation:
[tex]\tan\theta=1[/tex]
[tex]\bold{METHOD\ 1}\\\\\text{Use the table in the attachment}\\\\\tan45^o=1\to\theta=45^o\ \vee\ \theta=45^o+180^o=225^o\\\\\bold{METHOD\ 2}\\\\\tan\theta=1\to\tan^{-1}1=\theta\to\theta=45^o\ \vee\ \theta=225^o[/tex]