Answers
Answer:
15) 30°
16) 49.5°
Step-by-step explanation:
15) We solve using the Trigonometric function of Sine
sin θ = Opposite/Hypotenuse
Opposite = 12
Hypotenuse = 24
sinθ = 12/24
θ = arc sin(12/24)
= 30°
Approximately = 30°
16)We solve using the Trigonometric function of Cosine
cos θ = Adjacent/Hypotenuse
Adjacent = 13
Hypotenuse = 20
cos θ = 13/20
θ = arc cos (13/20)
= 49.458398126°
Approximately = 49.5°
Related Questions
Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the table feature to confirm that the coordinates of both points satisfy your equation.)
(10, 2) and (-3, 2)
a.
y = 2 x
b.
y = 2 x minus 3
c.
y = 2
d.
y = 2 x + 10
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
c). y = 2
Step-by-step explanation:
We can check a line by inputting the x and y from (x, y) into the equation.
For a. y = 2x we get
2 = 2*10 and 2 = 2*(-3), both of those are false
For b. y = 2x - 3 we get
2 = 2*10 - 3 and 2 = 2*(-3) + 10, both of those are false again
For c. y = 2 we get
2 = 2 and 2 = 2, both of those are true, so this is the right answer.
For d. y = 2x + 10 we get
2 = 2*10 + 10 and 2 = 2*(-3) + 10, both of those are false
Alternatively, we can solve the equation y = ax + b (this gives a single answer for any two points with different x's).
y = ax + b
We input (x, y) as (10, 2) and (-3, 2)
2 = a*10 + b = 10a + b
2 = a*(-3) + b = b - 3a
so we have
10a + b = b - 3a
13a = b - b
13a = 0
a = 0
Now we ca use a = 0 to solve either of the equations above:
2 = 10a + b
2 = 10*0 + b
2 = b
so with a=0 and b=2 we get the answer
y = 0*x + 2
y = 2
Which brings us to answer c. again.
The regular price of an item at a store is dollars. The item is on sale for off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item. Which two expressions each represent the sale price of the item?
Answers
12-ounce can of cola for 60 cent
Answers
Answer:
1/5
Step-by-step explanation:
What's the question being asked here?
Have an amazing day :)
-yO mAmA
Can somebody plz help answer these questions correctly (only if u done this before) thx sm!
WILL MARK BRAINLIEST WHOEVER ANSWERS THESE FIRET :DDDD!
Answers
Answer:
Angle 6 = 46°
Angle 7 = 134°
Angle 8 = 77°
Step-by-step explanation:
Angle 6 = 180 - 134 (Due to the angles on a straight line add up to 180 property)
Angle 6 = 46°
Angle 7 = 180 - 46
Angle 7 = 134°
360 = 56+148+(2 x Angle 8)
2 x Angle 8 = 360-204
2 x Angle 8 = 156
Angle 8 = 78°
6x + 2(5x -6) how do i get the answer?
Answers
6x+10x-12
16x-12
3 7/8 + 5 1/2 PLEASE
Answers
Answer:
The answer is: 75/8 OR if you want it simplified: 9 3/8
~hope this has helped you, have a gr8 day/night my friend!~
Step-by-step explanation:
Using n = 3.14, find the area of a circle with a radius of 7.
Round your answer to the nearest hundredth.
Answers
Area of a circle = pi x r^2
Area = 3.14 x 7^2
Area = 3.14 x 49
Area = 153.86 square units.
PLEASE HELP ASAP!!! due at 11:59
Answers
Answer:
first angle= 91°. second angle=89°.
Use the following set of the data 20, 28, 30, 6, 15, 18, 21, 22, 25, 29, 24, and 26. What is the interquartile range of the data
Answers
Answer:
Hi! The answer to your question is 8
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
About 80% of the precipitation that enters Crater Lake falls directly on the surface of the lake. Write this percent as a decimal.
80% =
Answers
Answer: 0.80
Step-by-step explanation:
Given
80% of the precipitation falls on the lake surface
The percentage can be written as
[tex]x\%=\dfrac{x}{100}[/tex]
[tex]\therefore 80\%=\dfrac{80}{100}=0.80[/tex]
If the angle of a sector measures 45° what fraction of the circle is the sector
Answers
The fraction of the circle measured by a sector which subtends an angle; 45° is; 1/8 (one-eighth).
It has been established from circle geometry that the angle subtended at a point is 360°.
On this note, the algebraic sum of angles in a circle is; 360°.In essence, a sector which measures 45° is only 1/8 of the circle.
45/360 = 1/8.Read more on sectors and circles;
https://brainly.com/question/1611459
An angle measure 8 less than the measure of its supplementary angle what is the measure of each angle
Answers
Answer:
94° and 86°
Step-by-step explanation:
'x-8' = smaller angle
'x' = larger angle
x - 8 + x = 180
2x = 188
x = 94
94 - 8 = 86
PLEASE HELP I NEED QUALITY ANSWERS AS WELL WILL MARK BRAINLIEST!!!
True or False: The area of a circle with diameter d = 2r = 10 is greater than the area of an ellipse with major axis 2a = 10. Explain your answer. Note: the area of an ellipse is calculated with the formula = (with ‘a’ the length of the semi-major axis and ‘b’ the length of the semiminor axis). Explain why as well.
Answers
Answer:
True
Step-by-step explanation:
So the radius would be 5 (as you times it by 2 to get 10)
Therefore
2a=10 is the same as what the circle with diameter d=2r=10
Can someone help me with this pls?
Answers
Answer:
C. 7 ft
Step-by-step explanation:
I plugged it into a calculator
I hope this helps you
What is an approximate average rate of change of the graph from x = 2 to x = 5, and what does this rate represent? (4 points)
Answers
Answer:
12
Step-by-step explanation:
HELP MAX POINTS AND BRAINLIEST!!!! If y = 4x -2, what are possible inputs and outputs of the function? Complete the ordered pairs:
(0,__)
(-2, __)
(_,14)
(_,-14)
what type of function is it?
Answers
Answer:
(0, -2)
(-2, -10)
(3, 14)
(-3, -14)
Linear Function
Step-by-step explanation:
Formula: y = 4x - 2
Plug in the values of x or y for each ordered pair:
y = 4(0) - 2
y = 0 - 2
y = -2
(0, -2)
y = 4(-2) - 2
y = -8 - 2
y = -10
(-2, -10)
14 = 4x - 2
12 = 4x
3 = x
(3, 14)
-14 = 4x - 2
-12 = 4x
-3 = x
(-3, -14)
What type of function is it?
Linear function
Why is it a linear function?
Refer back to the original formula given: y = 4x - 2. This is in slope-intercept form, or y = mx + b. This specific format informs graphers the line will be straight, or linear. You can also graph all of the ordered pairs to obtain a visual of a straight line, proving this function to be linear.
#1
y=4(0)-2y=-2So pair is
(0,-2)
#2
y=4(-2)-2y=-10Pair is (-2,-10)
#3
14=4x-24x=16x=4pair is
(4,14)
#4
-14=4x-24x=-12x=-3Pair is
(-3,-14)Mhanifa can you please help? This is due asap
Answers
Answer:
NoStep-by-step explanation:
ΔWXZ and ΔYVZ
Lets verify the ratio of corresponding sides:
WZ/YZ = XZ/VZ16/22 = 11/88/11 = 11/88² = 11²8 = 11As we see the equation is false, so the triangles are NOT similar
please help me with this math problem, the question is on the picture that i attached, ill mark brainliest if the answer is correct. NO links!
Answers
Answer:
cos z = 35 / 37
Step-by-step explanation:
cos z is the ratio of the adjacent side of a triangle (the side adjacent to angle z to the hypotenuse:
cos z = (adj. side) / (hypotenuse)
Here we have cos z = 35 / 37
WILL GIVE BRAINLIEST ANSWER!!!!!
LP is a radius of the circle. Is KL tangent to the circle? Note the figure may not be drawn to scale.
Answers
Find the average rate of change of f(x) = x^2–5x+1 from x = 2 to x= 5.
Simplify your answer as much as possible.
Answers
Answer:
12
Step-by-step explanation:
it should be the answer if not messge me so we can work it out
Which statement describes the relationship, if any, that exists between triangle KLM and triangle NPQ?
Triangle L K M. Side K L is 16, L M is 22, K M is 12. Triangle P N Q. Side P N is 8, N Q is 6, P Q is 11. Angles L and P are congruent, Q and M are congruent, K and N are congruent.
They are similar because their corresponding angles are congruent and their corresponding side lengths are in the ratio Three-halves from Triangle K L M to triangle N P Q.
They are similar because their corresponding angles are congruent and their corresponding side lengths are in the ratio StartFraction 2 Over 1 EndFraction from Triangle K L M to triangle N P Q.
They are not similar because their corresponding angles are not congruent.
They are not similar because their corresponding side lengths are not proportional.
Answers
Step-by-step explanation:
Answer:
it's b on edge
Step-by-step explanation:
Jesse is collecting signatures for a petition. (See the current details of his collection below.) Jesse wants to collect the same number of signatures each week.Which number line represents all of the possible number of signatures Jesse could collect in each of the remaining weeks so he can have enough signatures to submit the petition?
Answers
Answer:
Step-by-step explanation:
Ggjj
Name the polygon. Then tell whether it is a regular polygon or not a regular polygon.
Answers
The polygons name is an octagon and is not a regular polygon
help me!!!
what´s 20×20+3-4×20=
Answers
Answer:
7980
Step-by-step explanation:
Factorise 5a^2-6a
^^^^^^^^
Answers
Answer:
a(5a - 6)
Step-by-step explanation:
5a² - 6a
Common factor: a
Factored:
a(5a - 6)
HEY YALL CAN U HELP PLZ THANK U
Answers
Answer: D. 2
Step-by-step explanation:
Given
y-1=2(x--2)
Change signs
y-1=2(x+2)
Expand parenthesis
y-1=2x+4
Add 1 on both sides to isolate "y"
y-1+1=2x+4+1
y=2x+4
So the slope is 2
Hope this helps!! :)
Please let me know if you have any questions
I need some help with this question
If 120 students prefer hamburgers, how many students were surveyed?
Answers
Answer:
300 students
Step-by-step explanation:
Brainliest and 15 points
The work of a student to solve a set of equations is shown below:
Equation 1: x + 2y = 10
Equation 2: 2x + 5y = 15
Step 1: −2(x + 2y) = −2(10)
2x + 5y = 15
Step 2: −2x − 4y = −10
2x + 5y = 15
Step 3: 1y = 5
Step 4: x + 2(1) = 10
Step 5: x = 8
In which step did the student first make an error?
Step 1
Step 2
Step 3
Step 4
Answers
Answer:
Step 2 has error and step 4 has error.
Step-by-step explanation:
Here we can see that elimination method is applied to solve the system of equations for which -2 is multiplied both sides of equation first
-2(x+2y)=-2(10 which is correct
but in step 2
left side is -2x-4y and the right side is -10 which has to be -20 which makes this step wrong and this is the error made by student.
in Step 4 also ,value of the y has to be 5 but student plugged y =1 which is also error by student.
Correct solution is
-2x-4y= -20
2x+ 5y= 15
on adding ,we get
y = -5
plugging y =5 in equation x+2y= 10 ,we get x+2(-5) =10 ,we get x = 20
therefore (20,-5) is the solution
Answer:
step 2
Step-by-step explanation:
Thank you so much :)
Answers
Answer:
13
Step-by-step explanation:
The mode is just the number that appears the most often in a set of data. The table states that 13 appears 5 times in the data, therefore 13 is the mode.
Can some on please explain
Answers
Answer:
ORange =1 -2
Step-by-step explanation:
Step-by-step explanation:
From the given figure , we can see that there are two angles whose measures are x and 2x - 30°. If we notice they are the angles on the same segment . ( Draw a line through the end points of the two lines , and they will be on the same chord) . And we know that angles of the same segment are equal . Therefore ,
[tex]\tt\to x = 2x - 30^o \\\\\tt\to 2x - x = 30^o \\\\\tt\to\boxed{\orange{\tt x = 30^o }}[/tex]
This is our required answer.