Part A: Given sine of theta is equal to radical 3 over 2 comma determine three possible angles θ on the domain [0,∞).
Part B: Given θ = 675°, convert the value of θ to radians and find sec θ.
(Picture below is equation stated in Part A)
Answers
Answer:
A. {60°, 120°, 420°}
B. θ = 15π/4; sec(θ) = √2
Step-by-step explanation:
A.The sine function is periodic with period 360°, and it is symmetrical about the line θ = 90°. The reference angle for the given value of sin(θ) is ...
θ = arcsin(√3/2) = 60°
The next larger angle with the same sine is (2×90°) -60° = 120°. Any multiple of 360° added to either one of these angles will give an angle with the same sine. A possible set of 3 angles is ...
{60°, 120°, 420°}
__
B.One degree is π/180 radians, so the given angle in radians is ...
θ = 675° = 675(π/180) radians = 15π/4 radians
This angle has the same trig function values as 7π4, a 4th-quadrant angle with a reference angle of π/4, or 45° The secant of that angle is
sec(45°) = √2
The 4th-quadrant angle has the same sign, so ...
sec(675°) = sec(15π/4) = √2
Related Questions
Which describes the combined variation in the formula h=v/ πr^2?
h varies directly with V and inversely with the square of r.
h varies directly with V and inversely with π and the square of r.
h varies jointly with V and π, and inversely with the square of r.
h varies jointly with V and r2.
Answers
Step-by-step explanation:
h varies directly with v and inversely with the square of r.
1/pi is the constant of variation.
super easy algebra 4 x (15- ?) =48
Answers
after this you are left with 15-?=12.
?=3
This figure represents a flower box.
How much soil will it take to fill the flower box?
Enter your answer in the box.
in³
Three-dimensional figure that could be formed by placing two rectangular prisms together to form an L shape where the longer part of the L is on the bottom and the shorter part of the L extends up from the left side. The longer part of the L has a length of 20 inches, a width of 9 inches, and a height of 9 inches. The shorter part of the L extends 10 inches above the longer part of the L and has a length of 5 inches.
Answers
Answer:
The Answer Is 2200in^3
Step-by-step explanation:
I Took The Test And Got It Right
xzavier makes a conjecture that the sun of two odd integers is always an even integer which choice is the best proof of his conjecture
PLEASE I NEED THIS NOWWWWWWW
Answers
Answer:
2n+1
Step-by-step explanation:
i dont know but i tried to do it in paper and got this
pls do this thankuso much
Answers
Ans: D
differentiate sinx=cosx and differentiate x=1
:)
please help will mark BRAINLIEST
Answers
Answer:
d = 3h - 6
Step-by-step explanation:
Given formula:
[tex]h=\dfrac{d}{3}+2[/tex]
Subtract 2 from both sides:
[tex]\implies h-2=\dfrac{d}{3}+2-2[/tex]
[tex]\implies h-2=\dfrac{d}{3}[/tex]
Multiply both sides by 3:
[tex]\implies (h-2) \times 3=\dfrac{d}{3} \times 3[/tex]
[tex]\implies 3(h-2)=d[/tex]
Apply the distributive law [tex]a(b-c)=ab-ac[/tex]
[tex]\implies 3h-6=d[/tex]
[tex]\implies d=3h-6[/tex]
Answer:
[tex]d=3h-6[/tex]
Step-by-step explanation:
[tex]h=\frac{d}{3}+2[/tex]
[tex]h-2=\frac{d}{3}+2[/tex]
-[tex]2[/tex]
[tex]h-2=\frac{d}{3}[/tex]
[tex](h-2)*3=\frac{d}{3}*3[/tex]
[tex]3(h-2)=d[/tex]
[tex]3h-6=d[/tex]
[tex]d=3h-6[/tex]
-{ModPatrol}
The graph of a linear function is shown.
Which word describes the slope of the line?
positive
negative
zero
undefined
Answers
Answer:
zero
Step-by-step explanation:
because it's horizontal line
Give the numbers 12 and 4. Find out how much is the sum and difference of these numbers.
Answers
Answer:
The sum is 16 and the difference is 8 unless subtraction 12 from 4 and it would be -8.
Step-by-step explanation:
12 + 4 = 16
12- 4 = 8
4 - 12 = -8
Triangle A B C is shown. Angle A C B is a right angle. An altitude is drawn from point C to a point on side A B to form a right angle. The length of A B is 17 and the length of A C is 8.
What is the length of Line segment B C?
9 units
11 units
15 units
16 units
Answers
Answer:
15 unit that is the answer
Step-by-step explanation:
hope it is help you
The length of the line segment BC is 15 units
Pythagoras theoremIn order to determine the length of BC, we will use the Pythagoras theorem as shown;
AB² = AC² + BC²
Substitute the given parameters
17² = 8² + BC²
BC² = 289 - 64
BC² = 225
BC=. 15 units
Hence the length of the line segment BC is 15 units
Learn more on pythagoras theorem here: https://brainly.com/question/654982
#SPJ9
Is it possible for someone to help me with this?
Answers
Answer:
Step-by-step explanation:
Which of the following is a perfect square trinomial?
A. 4x^2 + 20xy - 25y^2
B. 4x^2 - 14xy + 25y^2
C. 4x^2 + 14xy - 25y^2
D. 4x^2 - 20xy + 25y^2
Answers
Answer:
[tex]D.~4x^2-20xy+25y^2[/tex]
Step-by-step explanation:
[tex]4x^2-20xy+25y^2\\\\=(2x)^2-2\cdot 2x \cdot 5y+(5y)^2\\\\=(2x-5y)^2[/tex]
If radius =5 units and x = 12 units what is the volume of the cylinder
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
It's given that,
radius (r) = 5 unitsheight (x) = 12 unitsNow, according to formula ~
[tex]\qquad \sf \dashrightarrow \: v = \pi {r}^{2}x[/tex]
[tex]\qquad \sf \dashrightarrow \: v = \frac{22}{7} \times {5}^{2} \times 12[/tex]
[tex]\qquad \sf \dashrightarrow \: v = \frac{22}{7} \times 25 \times 12[/tex]
[tex]\qquad \sf \dashrightarrow \: v = \frac{6600}{7} [/tex]
[tex]\qquad \sf \dashrightarrow \:v \approx 942.86 \: \: unit {}^{3} [/tex]
The frequency table shows the number of students selecting each type of
food.
Nachos Popcorn Smoothies Total
Boys
5
6
4
15
Girls
6
8
4
18
Total
11
14
8
33
What proportion of students chose popcorn?
Answers
The proportion of students who chose popcorn will be 14/33.
How to calculate the proportion?From the information, the frequency table shows the number of students selecting each type of
food.
The number of people who choose popcorn = 14
Total number of people = 33
Therefore, the proportion of students chose popcorn will be:
= 14/33
Learn more about proportion on:
brainly.com/question/19994681
#SPJ1
Answer:
0.42
Step-by-step explanation:
I need help understanding number 11 and 12 please
Answers
Answer:
4
Step-by-step explanation:
Find the least common multiple of those two denominators, which would be 2 and 4.
Then do LCM of 2 and 4 and that should be 4.
help me figure this out
Answers
=pi Radius^2
= 3.14 x 16^2
= 3.14 x (16 x16 =256)
=3.14 x 256
=803.84
But if your aloud to use a calculator
Just type
3.14 x 16^2
=803.84
Note :
Sorry I don’t know how to edit since Brainly was updated
Hope this helps:)))
Scott needs to replace a broken window at his house. The window is shaped like a triangle with dimensions shown below if glass costs $18.75 per square foot, how much with the replacement window cost?
Answers
Given the cost of glass per square foot, the cost for the replacement of the triangular shaped window glass is 1826.77$.
What is a Triangle?A triangle is simply a polygon with three vertices, three side and three sides.
An equilateral triangle is of triangle with all its three sides equal in length.
There area of an equilateral triangle is expressed as;
A = (√3/4) × a²
Where a is the length of the sides.
Given the data in the question;
Length of the side of the equilateral triangle a = 15ftCost of glass per square foot C = $18.75 per ft²Cost of window replacement CoW = ?First we determine the area of the window which is in the shape of an equilateral triangle.
A = (√3/4) × a²
A = (√3/4) × (15ft)²
A = (√3/4) × 225ft²
A = 97.4279ft²
Now, cost of window replacement will be the area of the window multiplied by the cost of glass per square foot.
CoW = A × C
CoW = 97.4279ft² × $18.75 per ft²
CoW = 1826.77$
Therefore, given the cost of glass per square foot, the cost for the replacement of the triangular shaped window glass is 1826.77$.
Learn more about area of triangles here: https://brainly.com/question/19305981
15x + 2y /= 38
x >/= 0; y>/= 0
Answers
not so sure about the answer
Write the point-slope form of the equation of the line through the points (1,-1) and (5,-2)
Answers
Answer:
y + 1 = -1/4 (x - 1) Answer choice C is correct.
Step-by-step explanation:
Point Slope Formula: y - y1 = m (x-x1)
Your points:
(1,-1) and (5,-2)
You need to find the slope first:
Use the formula: y2 - y1 / x2 - x1
Your y2 is -2
y1 is -1
x2 is 5
x1 is 1
-2 - (-1)/5-1
-2 + 1 /4
-1/4 is your slope and the "m" in the formula.
Now we know our y1 is -1 and x1 is 1 you just need to plug them in
y + 1 = -1/4 (x - 1)
Notice that I didn't write y - (-1) this is because the negatives cancel into positives.
Answer choice C is correct.
Answer:
c. [tex]y+1=-\frac{1}{4} (x-1)[/tex]
Step-by-step explanation:
Hi there!
We are given the points (1, -1) and (5, -2)
We want to find the equation of that line using those points, in point-slope form
Point-slope form is written as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point
First, let's find the slope of the line
The formula for the slope (m) calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We already have everything we need to find the slope, but let's label the values of the points to avoid any confusion when calculating.
[tex]x_1=1\\y_1=-1\\x_2=5\\y_2=-2[/tex]
Now substitute:
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-2--1}{5-1}[/tex]
Subtract
m=[tex]\frac{-2+1}{5-1}[/tex]
m=[tex]\frac{-1}{4}[/tex]
The slope of the line is -1/4
Now substitute this into the formula to find point-slope form (remember that this is [tex]y-y_1=m(x-x_1)[/tex], and that m is the slope value)
Therefore:
[tex]y-y_1=-\frac{1}{4} (x-x_1)[/tex]
Now, let's substitute the values of [tex]x_1[/tex] and [tex]y_1[/tex], which we found earlier (which are 1 and -1 respectively) into the equation
[tex]y--1=-\frac{1}{4} (x-1)[/tex]
Simplify
[tex]y+1=-\frac{1}{4} (x-1)[/tex]
This equation matches option c, which is the answer.
Hope this helps!
Can someone please help me
Answers
Answer:
When it's negative when it goes to the other side it becomes a positive.....
Y=(x-4)(x-1)
Make y 0 when your calculating for x
Make x 0 when your calculating for y
0=(x-4)(x-1)
Therefore x=4 or x=1
PLS HELP FAST i have question in the picture if you just answer wrong for the points I will report you
Answers
Answer:
[tex]\sf x\ge \:4[/tex]
solving steps:
[tex]\sf 8\left(x-5\right)-3x\ge \:-20[/tex]
[tex]\sf \left(8x-40\right)-3x\ge \:-20[/tex]
[tex]\sf 5x-40\ge \:-20[/tex]
[tex]\sf 5x\ge \:-20+40[/tex]
[tex]\sf 5x\ge \:20\\[/tex]
[tex]\sf x\ge \:\dfrac{20}{5}[/tex]
[tex]\sf x\ge \:4[/tex]
answer is D x [tex]\geq[/tex]4
An orchard has 700 pear trees. The number of rows exceeds the number of trees per row by 3. How many trees are there in each row?
Answers
Answer:
25
Step-by-step explanation:
Number of rows: x
Number of trees per row: y
So x rows multiplied by y trees per row = 700
x × y = 700
xy = 700
This is our first equation
x rows = y trees per row plus three (or x rows minus three = y trees)
x = y + 3
So if x = y + 3,
In xy = 700, we can substitute the x because we have it's value
(y + 3)y = 700
y² + 3y = 700
Divide 3 by 2 then square the answer = 2.25
y² + 3y + 2.25 = 700 + 2.25
Simplify
(y + 1.5)² = 702.25
Get the square root of both sides
(y + 1.5) = ±26.5
y = 26.5 - 1.5 or -26.5 - 1.5
So y is either 25 or -28 (A negative number of trees doesn't make sense so we'll stick with 25
the volume of a pyramid whose base is aright triangle is 234 units. If the two legs of the right triangle measures 9 units and 12 units find the height of the pyramid.
Answers
If the volume of this pyramid is 234 units, the height of the pyramid is equal to 13 units.
How to calculate the volume of a pyramid.Mathematically, the volume of a pyramid is given by the formula:
[tex]Volume = \frac{1}{3} \times base\;area \times height[/tex]
For the base area:
The area of a right triangle is given by:
[tex]A=\frac{ab}{2} \\\\A=\frac{9 \times 12}{2} \\\\A=\frac{108}{2}[/tex]
A = 54 square units.
Given the following data:
Volume of a pyramid = 234 units.
Side lengths of right triangle = 9 and 12 units.
Now, we can calculate the height of the pyramid:
[tex]234 = \frac{1}{3} \times 54 \times height\\\\234=18h\\\\h=\frac{234}{18}[/tex]
h = 13 units.
Read more on pyramid here: brainly.com/question/16315790
The points plotted below are on the graph of a polynomial. In what range of x- a values must the polynomial have a root? Check all that apply. A. -2 to -1 B. -1 to 0 C. -3 to-2 D. 1 to 2 E. -4 to -3 F. O to 1
Answers
The dosage for a painkiller is 0.05 mg per kilogram of a patient's body mass. How much of the drug should be administered to a patient who is 50 kg?
A 50-kg patient would be given mg of painkiller?
Answers
Answer:
0.05 mg for 1 kg, so multiply 0.05 by 50, since the patient is 50 kg, and you get 2.5 mg.
Answer:
2.5 mg
Step-by-step explanation:
.05 mg / kg * 50 kg = 2.5 mg
The GCF of a pair of numbers is 4 and the LCM is 2240. If one the numbers is 64, then what is the other number?
Answers
Find the values of x for which the denominator is equal to zero for 3x+5/x-6 .
x = 6
none
x = −5
x = −6
Answers
Answer:
x=6
Step-by-step explanation:
please mark me as brainlest
Which table models the graph shown below? HELP PLS
Answers
Answer:
A?
Step-by-step explanation:
I honestly am guessing here but i think its A take my answer with a grain of salt
100 PTS/// If you have a 2.5% chance of getting something every 3 minutes how long will it take until that's guaranteed?
Answers
Answer:
120 min
Step-by-step explanation:
step 1. divide 100% by 2.5 (=40)
step 2. 40 time 3 minutes = 120!
so by the time it gets to 120 minutes it 100% and guaranteed
Answer:
120 mn
Step-by-step explanation:
100 PTS/// If you have a 2.5% chance of getting something every 3 minutes how long will it take until that's guaranteed?
simplificar la radicacion 18
Answers
Answer:
441
Step-by-step explanation:
PLSS PA ANSWER PO DONT DELETE PO
Answers
Answer:
The answer of the first on is 15 b because to find the perimeter of 2d shapes we have to add all the sides given ex: 5+5+5=15 so the answer of first question if 15.
Step-by-step explanation:
2. C or 24cm
3. C or 16cm
4. C or 56cm
5. A or 50cm
Just add the sides together for perimeter :)