Answer:
θ = [tex]30^{0}[/tex]
Step-by-step explanation:
Since the vertical height of the mountain is 800 feet, and the distance from the top to its base is 1600 feet. Let the angle of elevation be represented by θ, applying the required trigonometric function;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin θ = [tex]\frac{800}{1600}[/tex]
= 0.5
θ = [tex]Sin^{-1}[/tex] 0.5
θ = [tex]30^{0}[/tex]
Thus, the angle of elevation from the base to the top of the mountain is [tex]30^{0}[/tex].
Consider the function. f(x) = -2/3x - 24 Which conclusions can be drawn about f^-1(x)? Select two options.
f^-1(x) has a slope of -2/3
f^-1(x) has a slope of . f^–1(x) has a restricted domain.
f^-1(x) has a y-intercept of (0, –36).
f^-1(x) has an x-intercept of (–36, 0).
f^-1(x) has a range of all real numbers.
It’s D&E because that’s what it is what it is
The Difference of a number and nine
Answer:
3+3+3=9 Slove this
Step-by-step explanation:
Mark as Brainliest
If Jesse wants to buy a $75,000 10-year term life insurance policy, and the annual premium rate (per $1000 of face value) for his age group is $2.34, how much is Jesse’s annual premium?
Step-by-step explanation:
Since it is given that it costs $2.34 for every $1000 face value, and it was given that he wanted to buy a $75000 plan, multiplying $2.34 by 75 (75000 includes 75 $1000 face value), it should yield us the annual premium.
2.34 * 75 = $175.50
We don't need to multiply it by 10 years as only the annual premium is being solved for.
Answer:
C $212.57
Step-by-step explanation:
I Just took the test on e2020
Solve quadratic equation by completing the square 9x²=4 please help me answer this
Answer:
[tex]9 {x}^{2} - 4 = 0 [/tex]
[tex](3x - 2)(3x + 2) = 0[/tex]
[tex]3x - 2 = 0[/tex]
[tex]3x = 2[/tex]
[tex]x = \frac{2}{3} [/tex]
AND
[tex]3x + 2 = 0[/tex]
[tex]3x = - 2[/tex]
[tex] \times = - \frac{2}{3} [/tex]
9x²-4=0
or,(3x)² +2*3x*3 +(3)² -5 = 18x -5
or,(3x+3)² = 18x
either,3x+3= 18x or, 3x+3=-18x
or, 15x=3 or, 21x=-3
or, x=1/5 or, x=-1/7
For your goal what is 1.834597/26881
Answer:
0.00006824883
Step-by-step explanation:
right?
what are the aspects of a good setter in volleyball
Answer: be a good communicator with strong leadership skills who quickly builds trust with the ability to talk and communicate with her hitters.
encourages hitters when they are playing well and when they aren't playing well.
(I used to play volleyball myself)
For the points (5,4)and (7,8), find the distance between the points and find the
midpoint of the segment.
Answer:
distance = 2[tex]\sqrt{5}[/tex] or 4.47 in decimal form
midpoint(6,6)
Step-by-step explanation:
The angle of elevation of a flagpole from the foot of a building is 65⁰, what is the angle of depression of the building from the Flagpole?
Answer:
115°
Step-by-step explanation:
The angles of elevation and depression are supplementary, thus
angle of depression = 180° - 65° = 115°
A freight train, traveling at a speed of 18.0 m/s, begins braking as it approaches a train yard. The train's acceleration while braking is –0.33 m/s2 . What is the train's speed after 23s?
Answer:
v = 10.41 m/s
Step-by-step explanation:
using one of the equations of motion:
v = u + at
where v= final velocity
u= initial velocity
a = acceleration
t = time
u = 18.0 m/s
v = ?
a = –0.33 m/s2
t = 23s
v = 18.0 + (–0.33 x 23)
v = 18.0 + (-7.59)
v = 10.41 m/s
imagine an investigation in which 40 students were asked to determine their chronotype by choosing from among four chronotypes instead of three: morning person, night person, neither, or both. If there is no relationship between chronotype and birth month, about what fraction of the students would you expect to pick the chronotype that matches their birth month? why do you think this?
Step-by-step explanation:
A chronotype is a behavioral manifestation of an underlying circadian rhythms of the myriad physical processes.
The chronotype word may be defined as an individual's natural tendency to remain active mostly at certain times of the day. Some people remain active and alert in the early time of the day and some are alert and active in the late night.
The chronotypes are : Morning person, night person, neither/both.
It is assume that the birth month and year of a person influences his or her chronotype. But if birth month is not related to theses personality traits of a person, then it can be expected that nearly 1/3rd of the fraction of the students in class picks the chronotype which corresponds to their birth type.
Do the points shown represent additive inverses? Explain why or why not.
Answer:
Yes additive inverse is two complete opposite numbers if added = 0
Step-by-step explanation:
Answer:
The points on the number line do represent additive inverses. 3 and −3 are a zero pair, and when added they equal zero. The two numbers are the same distance from zero but in opposite directions.
Step-by-step explanation:
e d g e n u i t y . . . hope this helped :p
A point where 2 rays meet to form an angle
Marty drew a model of the school library. The total area of the floor is 132 square centimeters. What is the area of the shaded part of the model shown below?
Answer:
Step-by-step explanation:
116
The area of the shaded part of the model shown below will be 72 square cm.
What is an area of a rectangle?Area of a rectangle is the product of its length and width.
If a rectangle has a length of L units and a width of W units, then
Area = L × W squared units.
Marty drew a model of the school library.
The total area of the floor is 132 square centimeters.
Then the area of the shaded part of the model shown below will be
Area = 132 - 10 x 6
Area = 132 - 60
Area = 72 square cm
Then the correct option is C.
Learn more about the area of a rectangle here:
https://brainly.com/question/4887838
#SPJ5
What is the value of 3x2+y3 when x=2 and y=−2?
Answer:
6
Step-by-step explanation:
First step is to plug in x=2 and y=-2
3(2)2+(-2)3
Remember PEMDAS
Parentheses first: multiply the 3(2)
6(2)+-6
Multipication second: 6(2)
12+-6
Lastly addition: 12+-6 (pay attention to the negative-that means we actually subtract)
Gives us 6
Hope this helps :)
5.75 , 7.75 , 9.75 , 11.75 is a Non linear sequence ? is it true or false
Answer:
false because each go up by two and I didnt even look it up
-2.75 is classified as?Select all that apply Natural Number Whole Number Integer Rational Number
Answer:
Rational Number
Step-by-step explanation:
It is not a natural number as natural numbers are the counting numbers we use and therefore only encompass positive integers,which - 2.75 is not. Whole numbers and integers do not include decimals and fractions, therefore - 2.75 is not included either does to its decimal. Finally it is a rational number because it can be properly expressed as a fraction (-2.75/1). Therefore it is just a rational number from this list.
Hope this helped!
I NED HELP FAST! Due tomorrow!! Ways to represent relations!
1.1: Four Ways to Represent a Function.•Determine whether a relation represents a function.
•Find the value of a function.
•Determine whether a function is one-to-one.
•Use the vertical line test to identify functions.
•Graph the functions listed in the library of functions
Step-by-step explanation:
Shandra is on vacation and wants to buy souvenirs for at least eight friends. A postcard book costs $2.50 and a magnet costs $4.00. She can spend up to $30 all together. Which system of inequalities represents the situation?
Answer:
[tex]2.5p + 4m \leq 30[/tex]
Step-by-step explanation:
Given
Poster = $2.50
Magnet = $4.00
Amount = Up to $30
Required
Determine the inequality
Represent posters with p;
This implies that she can buy 2.50p worth of posters
Represent magnets with m
This implies that she can buy upto 4m worth of magnets
The question says she can spent up to $30;
This implies that she can spend at most $30 and this can be mathematically represented as [tex]\leq 30[/tex]
Bringing the parameters together; we have
[tex]2.5p + 4m \leq 30[/tex]
The system of inequalities that represents the situation is [tex]2.5x+4y\leq 30[/tex] and this can be determined by using the given data and arithmetic operations.
Given :
A postcard book costs $2.50 and a magnet costs $4.00.Shandra can spend up to $30 all together.Let the total number of postcards be 'x' and the total number of magnets be 'y'. The following steps can be used to determine the inequalities that represent the situation:
Step 1 - Multiply 2.5 with x.
2.5x
Step 2 - Multiply 4 with y.
4y
Step 3 - Now, add the above two expressions.
2.5x + 4y
Step 4 - Now, apply the inequality.
[tex]2.5x+4y\leq 30[/tex]
The system of inequalities that represents the situation is [tex]2.5x+4y\leq 30[/tex].
For more information, refer to the link given below:
https://brainly.com/question/13101306
HELP ME PLZ ! Solve for x
Answer:
x = -1/3 - 3/2y
Step-by-step explanation:
Step 1: Write out equation
3y + 2x = -1
Step 2: Subtract 3y on both sides
3y - 3y + 2x = -1 - 3y
2x = -1 - 3y
Step 3: Divide both sides by 2
2x/2 (-1 - 3y)/2
x = -1/3 - 3/2y
Answer:
Hey there!
3y+2x=-1
2x=-3y-1
x=-3/2y-1/2
Let me know if this helps :)
1. (2 - 3i) + (6+5i)
Answer:
(8+2i)
Step-by-step explanation:
Solve for x.
81 = 27^-x^-2
Answer:
NO SOLUTION
Step-by-step explanation:
[tex]81=27^{-x^{-2}}[/tex]
[tex]3^4=3^{3\left(-x^{-2}\right)}[/tex]
[tex]4=3\left(-x^{-2}\right)[/tex]
[tex]\:4=-\frac{3}{x^2}:\quad \mathrm{No\:Solution\:for}\:x\in \mathbb{R}[/tex]
6y-10y-11=8y-2y+29 step by step?
Step-by-step explanation:
6y - 10y - 11 = 8y - 2y + 29
6y - 10y +16y - 11 = 8y - 2y + 29 + 16y
-11 = 22y + 29
11 = 22y + 40
-29 = 22y
Not sure yet I think I made a mistake hold up
2. Points A, B, C, D, E, and F are integers. Use the clues to put the points in order
from least to greatest. You don't need to solve the numbers themselves!
• A is less than E.
. E is less than D.
• B is greater than C.
• C is less than A.
• F is the smallest.
• A is greater than B.
Points in order:
factor 25m64−81n16 (w/ screenshot)
Answer:
(5m^32 -9n^8) (5m^32 +9n^8)
Step-by-step explanation:
[tex]25m^{64}-81n^{16}\\\\\mathrm{Rewrite\:}25m^{64}-81n^{16}\mathrm{\:as\:}\left(5m^{32}\right)^2-\left(9n^8\right)^2\\\\=\left(5m^{32}\right)^2-\left(9n^8\right)^2\\\\\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}\\x^2-y^2=\left(x+y\right)\left(x-y\right)\\\\\left(5m^{32}\right)^2-\left(9n^8\right)^2=\\\left(5m^{32}+9n^8\right)\left(5m^{32}-9n^8\right)[/tex]
You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area a of the shelf X is (15,20) Z is (0,5) Y is (15,5)
Answer:
[tex]Area = 112.5[/tex]
Step-by-step explanation:
Given
[tex]X = (15,20)[/tex]
[tex]Y = (15,5)[/tex]
[tex]Z = (0,5)[/tex]
Required
Determine the area of the triangle
The area is calculated using the following formula:
[tex]Area = |\frac{X_x(Y_y - Z_y) + Y_x(X_y - Z_y) + Z_x(X_y - Y_y)}{2}|[/tex]
Where
[tex](X_x,X_y) = (15,20)[/tex]
[tex](Y_x,Y_y) = (15,5)[/tex]
[tex](Z_x,Z_y)= (0,5)[/tex]
Substitute right values in the given formula:
[tex]Area = |\frac{15(5 -5) + 15(20 - 5) + 0(20 - 5)}{2}|[/tex]
[tex]Area = |\frac{15(0) + 15(15) + 0(15)}{2}|[/tex]
[tex]Area = |\frac{0 + 225 + 0}{2}|[/tex]
[tex]Area = |\frac{225}{2}|[/tex]
[tex]Area = |112.5|[/tex]
[tex]Area = 112.5[/tex]
Hence, the area of the triangle is 112.5
-2(v- 2) =-3 -22
What’s the answer?
Answer:
v= 29/2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2(v−2)=−3−22
(−2)(v)+(−2)(−2)=−3+−22(Distribute)
−2v+4=−3+−22
−2v+4=(−3+−22)(Combine Like Terms)
−2v+4=−25
−2v+4=−25
Step 2: Subtract 4 from both sides.
−2v+4−4=−25−4
−2v=−29
Step 3: Divide both sides by -2.
−2v
−2
=
−29
−2
v=
29/2
Please Help quickly! I need an explanation please. 50 points and will mark brainliest !
Yes, you are correct!
8x⁴-6x³+2/2x²+3
= 4x² + -6x³-12x²+2/2x²+3
= 4x² - 3x + -12x²+9x+2/2x²+2
= 4x² - 3x - 6 + 9x+20/2x²+3
Best of Luck!
Simplify 12 to the 3rd over 12 to the 7th
Answer:
0.0000482253
Step-by-step explanation:
John bought a 4-year certificate of deposit for $9.800 that has an interest rate of 3.255 % compounding monthly
How much interest will he earn after the 4 years?
Answer:
hi
Step-by-step explanation:
want to start a conversation
the slope-intercept form of an equation is y = mx + b. rewrite the equation in terms of the slope m
Answer:
[tex]\displaystyle m=\frac{y-b}{x}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]y=mx+b[/tex]
And we want to rewrite it in terms of m.
We can subtract b from both sides:
[tex]y-b=mx[/tex]
Finally, dividing both sides by x yields:
[tex]\displaystyle m=\frac{y-b}{x}[/tex]
In conclusion:
[tex]\displaystyle m=\frac{y-b}{x}[/tex]