Answers
9514 1404 393
Answer:
θ = 56°θ = 65°θ = 45°Step-by-step explanation:
In general, you solve equations like these by getting the function of the variable by itself on one side of the equal sign. Then you use the inverse function to find the argument of the function. As in problem 3, you may have to go another step or two to get from the value of the function argument to the value of the variable.
1. We need to find sin(θ), then use the arcsine function.
sin(θ) -0.832 = 0 . . . . given
sin(θ) = 0.832 . . . . . . add 0.832 to both sides
θ = arcsin(0.832) ≈ 56.305° . . . . . . use the inverse sine function to find θ
θ ≈ 56°
__
2. 1/2cos(θ) = 0.214 . . . . given
cos(θ) = 0.428 . . . . . . multiply by 2
θ = arccos(0.428) ≈ 64.659° . . . . use the inverse cosine function
θ ≈ 65°
__
3. 3tan(θ -20°) = 1.43 . . . . given
tan(θ -20°) = 0.47666... . . . divide by 3
θ -20° = arctan(0.47666...) . . . . use the arctan function to find θ-20°
θ -20° ≈ 25.486°
θ = 45.486° . . . . . . . add 20°
θ ≈ 45°
_____
Additional comments
Scientific and graphing calculators often require use of a 2nd or SHIFT key to access the inverse trig functions. The inverse function often uses the same key on the calculator. These are generally marked with a -1 superscript: a key might be marked with sin, for example, with sin⁻¹ as its alternate function.
The trig functions of a calculator will usually deal with angles in any of several units. The most common of these are degrees, grads, and radians. Usually, you are required to set the calculator mode to make use of one or the other of these angle measures. For this problem, you need to be sure the calculator is set to degrees mode.
Related Questions
Which expression can be used to determine the length of segment ZY?
On a coordinate plane, triangle X Y Z has points (3, 1), (3, 4), (negative 5, 1).
Answers
Answer:
The length of segment ZY is of [tex]\sqrt{73}[/tex] units.
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this question:
Point Z has coordinates (-5,1)
Pount Y has coordinates (3,4).
The length of segment ZY is the distance between points Z and Y. Thus
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]D = \sqrt{(-5-3)^2+(1-4)^2}[/tex]
[tex]D = \sqrt{8^2+3^2}[/tex]
[tex]D = \sqrt{73}[/tex]
The length of segment ZY is of [tex]\sqrt{73}[/tex] units.
Given the function g(x) = 6(4)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3. Part A: Find the average rate of change of each section. (4 points) Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points) (10 points)
Answers
Answer:
Section A = 18
Section B = 288
Section B is 16 times greater than A
Step-by-step explanation:
Given the function :
g(x) = 6(4)^x
x = 0 to x = 1
At x = 0
g(0) = 6(4)^0 = 6(1) = 6
At x = 1
g(1) = 6(4)*1 = 24
Average rate of change for Section A = g(1) - g(0) = 24 - 6 = 18
Section B ;
x = 2 ; x = 3
g(x) = 6(4)^x
x = 2 to x = 3
At x = 2
g(0) = 6(4)^2 = 6 * 16 = 96
At x = 3
g(1) = 6(4)^3 = 6(4*4*4) = 384
Average rate of change for Section B = g(3) - g(2) = 384 - 96 = 288
Number of times B is greater than A
Section B / section A = 288 / 18 = 16 times
Find the zeros of ƒ(x) = x3 + 6x2 + 8x.
Answers
Answer:
(-4,0), (2,0), (0,0)
Answer:
(0,0) (-2,0) (-4,0)
Step-by-step explanation:
Graph the intersects (x) to find the zeros. Replace y with 0 and solve for x.
Demonstrate 528 divide by 4 using 10 blocks and the scaffolding method
Answers
63838-36383
Answer 5
How many liters is 350 milliliters?
A. 3500 L
B. 3.50 L
C. 0.350 L
D. 0.035 L
Answers
Answer: C
Step-by-step explanation:
Step-by-step explanation:
1 L equals to 1000 mL
so 350 mL equals to 0.35L
The answer is C
(PLEASE HELP I JUST WANNA KNOW HOW TO DO IT WILL GIVE REWARDS.) Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
square root of the quantity x minus 2 end quantity plus 8 equals x
Answers
Hope my answer helps uh ✌️
Evaluate 64^1/2 times 10^-2
Answers
Answer:
0.188
Step-by-step explanation:
64^1/2 times 10^-2 can also be written as:
√64 x √1/10
8 x 0.31
0.188
Step-by-step explanation:
here is your answer
here is your answer
Find the first principle, the derivatives of: (any one)
[tex]1 \sqrt{x} [/tex]
Answers
Drag each pair of rates to the correct location on the table.
Identify the pairs of rates as equivalent or not equivalent.
and and and and and 10 and
PLS PLS PLSS HELP ME OUT
Answers
Answer:
36/6 and 6/1 is equivalent
20/5 and 3/1 is not equivalent
18/3 and 9/1 is not equivalent
35/7 and 5/1 is equivalent
32/4 and 8/1 is equivalent
100/10 and 5/1 is not equivalent.
Step-by-step explanation:
36 divided by 6 is 6.
20 divided by 5 is 4.
18 divided by 3 is 6.
35 divers by 7 is 5.
32 divided by 4 is 8.
100 divided by 10 is 10.
A local hamburger shop sold a combined total of 805 hamburgers and cheeseburgers on Wednesday. There were 55 more cheeseburgers sold than hamburgers.
How many hamburgers were sold on Wednesday?
Answers
805-55=750
750/2=375
Answer: 375 hamburgers were sold on Wednesday
Step-by-step explanation: 430 cheeseburgers were sold and 375 hamburgers were sold total of 805 combined
Igor is in high school and got a part time job with every paycheck he has decide 10%will go to short term savings 20%to long term savings and the rest he will use for his current expenses and spending .
Answers
I am trying to graph y=2x-7
Answers
Step-by-step explanation:
The given equation is :
y = 2x-7
We will first find the points,
x 0 , , 3.5, 1 , 2 , 3
y -7 , 0, -5, -3, -1
The graph of the above equation is as follows :
It is a linear equation.
How many sides does a regular polygon have if each exterior angle measures
20?
Answers
Answer:
18 sides
Step-by-step explanation:
Each exterior angle of a regular polygon = 20 deg. So the polygon has 360/20 = 18 sides
Determine the required value of the missing probability to make the distribution a discrete probability distribution
P(4)=____
X P(x)
3 0.25
4 ?
5 0.39
6 0.15
Answers
======================================================
Explanation:
All of the values in the P(x) column must add to 1.
The value 1 in probability means 100%
Let y be the missing value in the table
0.25+y+0.39+0.15 = 1
y+0.79 = 1
y = 1-0.79
y = 0.21
The probability that x = 4 is 0.21
In other words, P(4) = 0.21
Or that we have a 21% chance of having x = 4 happen.
ASAP PLZ PLZ PLZ PLZZZZZZ
Answers
Answer:x=( y-p-mq)/m
Step-by-step explanation:
y-p=m(x-q)
x-q= y-p/m
x=y-p/m=q= y-p+mq/m
x= y-p+mq/m
NEED HELP ON THIS ASAP PLZ!!
Answers
Tan37=opp/13
X=13tan37
Answer:
x = 9.7
Step-by-step explanation:
tan θ = opposite side / adjacent side
tan 37° = x / 13
multiply 13 on each side
13 × tan 37° = 13 × x /13
13 × tan 37° = x
Rewrite
x = 13 × tan 37°
multiply, we get
x = 13 × 0.75355..
x = 9.79620265
Round nearest tenth = 9.7
What is the y intercept of the function f (x) = -2/9x + 1/3 ?? Please help ! :0 :)
Answers
y intercept of the function f (x) = -2/9x + 1/3
is
[tex] \frac{1}{3} [/tex]
OPTION C
Write the standard equation of a circle with center (-1, 4) and radius 5
Answers
Answer:
(x + 1)² + (y - 4)² = 25
Step-by-step explanation:
The general equation for a circle is given by the formula;
x² + y² + 2hx + 2ky + c = 0 ......equation 1.
Where the center is C(-h, -k)
Also, the standard form of the equation of a circle is;
(x - h)² + (y - k)² = r² ......equation 2.
Where;
h and k represents the coordinates of the centre.
r represents the radius of the circle.
Given the following data;
h = -1
k = 4
r = 5
Substituting into eqn 2, we have;
(x - {-1})² + (y - 4)² = 5²
Simplifying further, we have;
(x + 1)² + (y - 4)² = 25
3x+2y=4 and -2x+2y=24
Answers
Answer:
1x= 28
y= v7vub8b9nf7v6v
Find the center and foci of the ellipse:
16x2 + 25y2 – 64x – 50y - 311 = 0
Answers
Answer:
You should first make sure you explain what exactly is the question, before delete others answers.♀️♀️
Step-by-step explanation:
what is the common difference of the following sequence? 4.3,5,7,9,11___
5.16,19,22,25__
Answers
Answer:
Step-by-step explanation:
4). Given sequence → 3, 5, 7, 9, 11........
Common difference of an arithmetic sequence is defined by,
Common difference = Successive term - previous term
= 2nd term - 1st term
= 5 - 3
= 2
5). Given sequence → 16, 19, 22, 25........
Common difference of an arithmetic sequence = Second term - first term
= 19 - 16
= 3
hello guys can you help me with this?
Answers
Answer:
Step-by-step explanation:
1. Title of the graph → Comparison of the Plant Growth
2. y-axis represents the height of the plants in centimeters.
3. On day 2:
Height of plant A (plant outside) = 5.1 cm
Height of plant B (plant near the window) = 2.25 cm
4. Plant outside shows great increase in the height.
On day 5,
Height of the plant outside = 6.75 cm
Growth in height from day 2 to day 5 = 6.75 - 5.1
= 1.65 cm
Height of the plant near the window = 2.5 cm
Growth in height of the plant from day 2 to day 5 = 2.5 - 2.25
= 0.25 cm
Therefore, plant outside shows the great increase in height.
5. Plant near the window grew 0.25 cm in height.
Geometry help pls and thank you :)
What is the area of this triangle?
Enter your answer in the box.
(answer) units²
Answers
Answer:
12
Step-by-step explanation:
bh/2
base is 8
height is 3
24/2
12
Answer:
12
Step-by-step explanation:
The formula to find the area of a triangle is the following,
[tex]A=\frac{b*h}{2}[/tex]
Where (b) and (h) are the base and height of the triangle. In this situation, one can see that the base (CB) equals (8) units. One can attain this number by counting the boxes between point (C) and point (B). The height is (3). This number is the distance from the point (A) to the side (CB). Substitute these values into the formula and solve for the area.
[tex]A=\frac{b*h}{2}[/tex]
Substitute,
[tex]A=\frac{8*3}{2}[/tex]
Simplify,
[tex]A=\frac{8*3}{2}\\\\A=\frac{24}{2}\\\\A=12[/tex]
A candle is in the shape of a cylinder. The candle has a diameter of 6 inches and a height of 5 inches What is the volume of the candle? (Use 3.14
A. 94.2 cubic inches
B. 141.3 cubic inches
C. 150.7 cubic inches
D. 188.4 cubic inches
Answers
Can any one help me on this
Answers
point D is the answer
________
State if the two triangles are congruent. If they are, prove by using a two column proof!!!
Answers
Answer:
Step-by-step explanation:
There are four axioms to prove the triangles are contruent.They are
SSS(side side side axiom)
SAS(side angle side axiom)
AAS(angle angle side axiom)
ASA(angle side angle axiom)
RHS (right angle hypotenuse side axiom)
here two triangles are congruent by RHS axiom
What is 15 percent in 660
Answers
Answer:
99
Step-by-step explanation:
10% = 66
5% = 33
66+33=99
Can someone please help ASAP!!
Answers
Step-by-step explanation:
you need to find:
uw:
uv:
vw= 8(already known)
Measure of W= 35
Measure of u= 90
measure of v= 180-90+35= 55
finding uv:
sin(35)= uv/8
0.57=uv/8
4.56=uv
finding uw:
sin(55)= uw/8
0.82= uw/8
6.56= uw
Write down the name of each of these shapes
A)
B)
C)
D)
Answers
Answer:
a - Right angled triangle
b - Parallelogram
c - Square
d - kite
Step-by-step explanation:
Hope this helps
Goodluck
These are the names of each of these shapes;
1. Right-angled triangle
2. Parallelogram
3. Square
4. kite
What is the right angle triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angle is a right angle.
A parallelogram is a quadrilateral with two pairs of parallel sides.
The opposite sides of a parallelogram are equal in length and the opposite angles are equal in measure.
A square is a four-sided polygon that has all sides equal in length and the measure of the angles is 90 degrees.
A kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.
These are the names of each of these shapes;
1. Right-angled triangle
2. Parallelogram
3. Square
4. kite
Learn more about parallelogram here;
https://brainly.com/question/12906753
#SPJ2
4/9-1/2+1/3 simplifying the expression?
Answers
Multiplying numerators and denominators to get the LCD in all fraction denominators. Then rewriting the equation with the equivalent fractions With like denominators we can operate on just the numerators
The answer is 5/18