Answer:
[tex]\theta = 120, 240[/tex], in degrees
Step-by-step explanation:
The secant of an angle is given by:
[tex]\sec{\theta} = \frac{1}{\cos{\theta}}[/tex]
In this question:
[tex]\sec{\theta} = -2[/tex]
So
[tex]\frac{1}{\cos{\theta}} = -2[/tex]
[tex]-2\cos{\theta} = 1[/tex]
[tex]\cos{\theta} = -\frac{1}{2}[/tex]
In the first quadrant, the angle that has cosine of 1/2 is 60º.
The cosine is negative in the second and in the third quadrant.
The equivalent angle to 60º in the second quadrant is of 180º - 60º = 120º.
The equivalent angle to 60º in the third quadrant is of 180º + 60º = 240º
So the values of [tex]\theta[/tex] in the interval are:
[tex]\theta = 120, 240[/tex], in degrees
Use a graphing utility to approximate the solutions (to three decimal places) of the equation in the interval [0, 2). (Enter your answers as a comma-separated list.)
7 csc^2 x + 3.5 cot x − 35 = 0
Answer:
Trigonometric equations are, as the name implies, equations that involve trigonometric functions. Similar in many ways to solving polynomial equations or rational equations, only specific values of the variable will be solutions, if there are solutions at all. Often we will solve a trigonometric equation over a specified interval. However, just as often, we will be asked to find all possible solutions, and as trigonometric functions are periodic, solutions are repeated within each period. In other words, trigonometric equations may have an infinite number of solutions. Additionally, like rational equations, the domain of the function must be considered before we assume that any solution is valid. The period of both the sine function and the cosine function is 2π. In other words, every 2π units, the y-values repeat. If we need to find all possible solutions, then we must add 2πk, where k is an integer, to the initial solution. Recall the rule that gives the format for stating all possible solutions for a function where the period is 2π:
sinθ=sin(θ±2kπ)
There are similar rules for indicating all possible solutions for the other trigonometric functions. Solving trigonometric equations requires the same techniques as solving algebraic equations. We read the equation from left to right, horizontally, like a sentence. We look for known patterns, factor, find common denominators, and substitute certain expressions with a variable to make solving a more straightforward process. However, with trigonometric equations, we also have the advantage of using the identities we developed in the previous sections.
Step-by-step explanation:
Trigonometric equations are, as the name implies, equations that involve trigonometric functions. Similar in many ways to solving polynomial equations or rational equations, only specific values of the variable will be solutions, if there are solutions at all. Often we will solve a trigonometric equation over a specified interval.
An expression is shown.
5x + 3y - 2x - 2y - 3
Create an expression that is equivalent to the given expression.
Answer:
3x + y - 3
Step-by-step explanation:
Like Terms: In algebra, like terms are terms that have the same variables and powers.
To simplify this expression and get an expression that is eual to 5x + 3y - 2x - 2y - 3 I used like terms :
(5x - 2x) + (3y - 2y)
(5x - 2x = 3x) + (3y - 2y = 1y or y)
3x + y
Then we add the - 3 at the end giving us:
3x + y - 3
Question 4
1 pts
In the inequality x +4< -14,, which answer is correct
O the solution set is x is less than 10, the circle is open; and the graph (line) moves to the right
the solution set is x is less than -18, the circle is open; and the graph (line) moves to the left
O the solution set is x is less than negative 10, the circle is open; and the graph (line) moves to the
left.
O the solution set is x is greater than negative 10, the circle is open; and the graph (line) moves to
the left.
Answer: C. The solution set is x is less than -18, the circle is open; and the graph (line) moves to the left.
Step-by-step explanation:
1. x < (-4) -14 (subtract 4 from each side, then add)
2. x < -18
Solve the equation for x. −3=x3−6
A. x=−27
B. x=9
C. x=0
D. x=−6
Ryan has two jobs. He earns $9 per hour for x hours babysitting his cousins and he earns $18 per hour for y hours working at the coffee shop. Ryan will work both jobs. He is able to work no more than 10 hours a week, due to school commitments. Ryan wants to earn at least $72 a week, working a combination of both jobs.
Answer:
Umm I don't think you wrote out the whole question...
Step-by-step explanation:
$18 nine hours, $9 one hour = $177
$18 eight hours, $9 two hours = $162
$18 seven hours, $9 three hours = $153
$18 six hours, $9 four hours = $144
$18 five hours, $9 five hours = $135
$18 four hours, $9 six hours = $126
$18 three hours, $9 seven hours = $117
$18 two hours, $9 eight hours = $108
$18 one hour, $9 nine hours = $99
Ted won 41 pieces of gum playing basketball at the county fair. At school he gave two to every student in his math class. He only has 9 remaining. How many students are in his class?
Answer:
16 People have 2 pieces of gum
POS
15
D
7
G
Find each length
10
CF=
FE
J.cz
E
*FD = 22
The L-shaped room shown is to be carpeted with carpet that costs $3.89 per square foot. What will be the cost of the carpet?
Question 14 options:
$1034.74
$1186.45
$1058.08
$1194.23
Answer:
I think C but then again I could be wrong.
Rewrite each fraction with a denominator of 20 1/4 and 11/10
WILL GIVE BRAINLY Which one of the following angles are supplementary to ZDOE in the figure given below?
Answer:
AOE
Step-by-step explanation:
A supplementary angle equals 180 which is also a straight line.
Please help and thank you
Answer:
in lowest term it's
Step-by-step explanation:
10/33
Answer:
10 : 33
Step-by-step explanation:
Both 20 and 66 are multiples of 2.
20 = 2 x 10
66 = 2 x 33
So, this ratio becomes 2 x 10: 2 x 33
Dividing both sides by 2 gives us 10:33, which can't be simplified further.
Choose all the equations that have m =5 as the solution
A. m - 1 = 4
B. m + 4 = 20
C. m - 3 = 8
D. 22 + m = 25
E. 12 = m + 7
Answer:
A and E
Step-by-step explanation:
Plug 5 in for m in every equation, and see if the math works.
A.
[tex]m-1=4\\5-1=4\\\\[/tex]
A - works
B.
[tex]m+4=20\\5+4=9[/tex]
B - does not work
C.
[tex]m-3=8\\5-3=2[/tex]
C - does not work
D.
[tex]22+m=25\\22+5=27[/tex]
D - does not work
E.
[tex]12=m+7\\12=5+7[/tex]
E - works
Answer:
A and E just to make it quick hope this helps
Step-by-step explanation:
iGIVEEEEEEEEEEEEEEEEE BRAINLILSTTT
Answer:
first box (x): 10
second box (y): 12
Step-by-step explanation:
HIJ is a translation of HIJ
translation just means you move the whole thing without any rotations dialations ect just moving it
from the blue shape it is asking what do you have to do to the x and y to get to the purple shape
you have to go +_x and take away _y
when you add a digit to x it moves to the right
when you add a digit to y it goes one up
because the HIJ are equaly spaced it dosnt matter which one we choose cause it will have the same answer
im going to use J
on the blue J you can see the x value is -8
the purple J's value is 5
to get from -5 to 5 you add 10
-5+5=0
0+5=5
5+5=10
therefore the first box (x) is 10
same thing for the y value im going to use J again
blue y value of J is 7
purple y value of J is -5
their distance is 12
7-7=0
0-5=-5
7+5=12
second box (y) is 12
i hope this helps
Please answer the question
Answer:
D. 2x² + 10xy + 8x² because (2x+ 2y) by (x + 4y)Step-by-step explanation:
Let's mark the sides of the big square as x and a small square as y
See attached picture below
Then we will have the sides of the rectangle:
x + x + y + y = 2x + 2yandx + y + y + y + y = x + 4yThe area of the figure is:
A = lwA = (2x+ 2y)(x + 4y) = 2x² + 8xy + 2xy + 8y² = 2x² + 10xy + 8x²Correct option is D.
If
5
(
p
+
3
)
=
18
+
2
p
, what is the value of
p
?
Answer:
p=1
Step-by-step explanation:
please help me for this question:
please help me asap!!!
Answer:
230
Step-by-step explanation:
Add the other angles for a total of 130 degrees there is a total of 360 degrees in the interior angle of a quadrilateral subtract 130 from 360.
Answer:
m< CDF = 58°
Step-by-step explanation:
Key skills needed: Congruent Triangles
1) We can use Triangle Congruence Rules to prove that Triangle EDF and Triangle CDF are congruent triangles.
2) Since both triangles have 1 right angle, they are both triangle triangles.
3) Both triangles share the same hypotenuse (DF)
Also, it gives us EF is 36, and FC is 36 --> This means that EF ≅ FC
Since both are Right Triangles, we can use Right Triangle HL Congruence to prove it
HL means Hypotenuse-Leg
This rule can only be applied to right angle triangles. In order to use this rule, a hypotenuse and a leg of the triangles need to proven congruent.
4) Since ΔEDF ≅ ΔCDF with Right triangle HL, we can say that < CDF is congruent to < EDF. These are corresponding parts of the triangle.
--> To say that < CDF is congruent to < EDF, we can use the theorem:
If Δs are ≅, then all corresponding parts are ≅.
5) Therefore, <CDF ≅ <EDF (which means the measures of the angles are the same value)
Since <EDF is 58°, <CDF would also be 58°
Hope you understood and have a nice day!! :D
What is the value of q?
Pls help fast
Answer:
C
Step-by-step explanation:
Identify the terms. Then identify the coefficients of the variable terms of the expression. (Enter your answers as a comma-separated list.)
5√3x^2+4
Answer:
The set of coefficients asociated with the given polynomial in ascending order is [tex][C] = \{4,0,5\sqrt{3}\}[/tex].
Step-by-step explanation:
Let [tex]y = 5\sqrt{3}\cdot x^{2}+4[/tex], which is a polynomic function, defined as:
[tex]y = \Sigma_{i=0}^{n}c_{i}\cdot x^{i}[/tex] (1)
Where:
[tex]c_{i}[/tex] - i-th Coefficient.
[tex]x^{i}[/tex] - i-th Power.
[tex]n[/tex] - Grade of the polynomial.
We notice that given polynomial has degree 2 and can be rewritten by applying this definition:
[tex]y = 4 + 0\cdot x + 5\sqrt{3}\cdot x^{2}[/tex]
Then, the set of coefficients asociated with the given polynomial in ascending order is:
[tex][C] = \{4,0,5\sqrt{3}\}[/tex]
Your family picked apples over the weekend. 1/8 of the apples picked were golden delicious and 1/4 were McIntosh. The remaining were Granny Smith. What fraction of the apples were Granny Smith apples
Answer:
5/8
Step-by-step explanation:
1/4=2/8
2/8+1/8=3/8
8/8-3/8=5/8
applied the distributive property to factor out the greatest common factor 35 + 14
Answer:
35+14=7(5+2) , so you have the alternative way of computing the sum.
49=7(7)
Answer:
35+14=7(5+2)
Step-by-step explanation:
gives the value of the expression b x 4 for b = 21?
Answer:
5
Step-by-step explanation:
Answer:
its A
Step-by-step explanation: i passed the test
A puzzle has 80 pieces. Carlos has completed 60% of the puzzle. How many pieces of the puzzle has he put together?
Step-by-step explanation:
100% of the puzzle = 80 pieces
60% of the puzzle = 80 * (60/100) = 48 pieces.
Therefore Carlos has put 48 pieces together.
from the give table write slope intercept equation .
Answer:
y = 2x + 5
Step-by-step explanation:
To find the slope given a table of x and y coordinates, you use the point-slope formula, which is y2 - y1 divided by x2 - x1. It's generally easier if you find a slope that doesn't have negative numbers involved.
In this case, you take the last two sets of ordered pairs (4,13) and (2,9) and plug those into the formula.
(13-9) / (4-2)
This gives you 4 / 2, which can be reduced to 2. So that means your slope is 2. This number represents the m variable in the slope-intercept equation.
Next, take the slope-intercept equation (y=mx+b) and plug in your slope value, and use one of the ordered pairs to discover the y-intercept (value b).
In this case, we'll pick the ordered pair of (4, 13) - x=4, y=13
the equation would be: 13 = 2(4) + b
13 = 8 + b
b = 5
Now that you have the slope (m) and y-intercept (b), you can write the equation as y = 2x + 5
Hope this helps!
Solve the special right triangle to find the missing sides. Leave your answer as a simplified radical
Answer:
[tex] \tan(30°) = \frac{12}{r} \\ \frac{1}{ \sqrt{3} } = \frac{12}{r} \\ \boxed{r = 12 \sqrt{3} }[/tex]
and,
[tex] \sin(30°) = \frac{12}{t} \\ \frac{1}{2} = \frac{12}{t} \\ \boxed{t = 24}[/tex]
Determine if the situation is additive or multiplicative AND determine the equation that corresponds to the situation.
Equation:
Additive or Multiplicative:
Answer:
The situation is Multiplicative.
The equation will be [tex]y=2x[/tex]
Step-by-step explanation:
We are given the table:
Input (x) 5 8 11
Output (y) 10 16 22
Looking at the table, we see that the value of x is doubled to get value of y
Looking at the trend: 5(2) = 10
8(2) = 16
11(2) = 22
The value of x is multiplies by 2 to get value of y.
So, The situation is Multiplicative.
Now, The equation will be [tex]y=2x[/tex]
because we saw the trend, that every value of x is multiplied by 2 to get value of y.
hey sorry bout your acc D:
Solve the quadratic with quadratic formula:
4x^2 + 10x – 1 = 0
Answer:
[tex]\displaystyle x=\frac{-5 \pm \sqrt{29}}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FactoringStandard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define
4x² + 10x - 1 = 0
Step 2: Identify Variables
a = 4
b = 10
c = -1
Step 3: Find roots
Substitute in variables [QF]: [tex]\displaystyle x=\frac{-10\pm\sqrt{10^2-4(4)(-1)} }{2(4)}[/tex][√Radical] Exponents: [tex]\displaystyle x=\frac{-10\pm\sqrt{100-4(4)(-1)} }{2(4)}[/tex][√Radical] Multiply: [tex]\displaystyle x=\frac{-10\pm\sqrt{100+16}}{2(4)}[/tex][√Radical] Add: [tex]\displaystyle x=\frac{-10\pm\sqrt{116}}{2(4)}[/tex][Fraction] Multiply: [tex]\displaystyle x=\frac{-10\pm\sqrt{116}}{8}[/tex][√Radical] Simplify: [tex]\displaystyle x=\frac{-10\pm 2\sqrt{29}}{8}[/tex][Fraction] Factor: [tex]\displaystyle x=\frac{2(-5\pm \sqrt{29})}{8}[/tex][Fraction] Simplify: [tex]\displaystyle x=\frac{-5 \pm \sqrt{29}}{4}[/tex]Here's a graph of a linear function. Write the equation that describes that function.
need help asap please
Answer:
[tex]\displaystyle 40[/tex]
Step-by-step explanation:
This is an isosceles triangle, therefore you must double up DA to get 40.
I am joyous to assist you at any time.
Success of each organization is
depending upon the performance of
Select one:
a. management
b. employer
c. vendor
d. employee
= employee
Step-by-step explanation:
Success of each organization is
depending upon the performance of
Select one employee