Answers
Given:
Base length of triangle = 10 units
Height of triangle = [tex]\sqrt{44}[/tex] units
Length of hypotenuse of triangle = 12 units
To find:
Exact value of Cos A
Steps:
The cosine of any angle is equal to the length of the adjacent side by the length of the hypotenuse side.
So,
Cos A = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos A = [tex]\frac{10}{12}[/tex]
Cos A = 0.833
Therefore, the exact value of cos A is 0.833.
Happy to help :)
If u need any help, feel free to ask
Related Questions
What conclusion can you draw about angles of elevation for parasailing boats traveling at the same speed?
Answers
Question:
A boat is travelling at 30 mph has a 400 ft. tow line results in the height of the rider in the parasail above the water level of 300 ft.
a) Draw a labelled diagram of the situation
b) Determine the angle of elevation of the parasail rider
c) Parasailing boats traveling at the same speed will have the same angle of elevation
Answer:
a) Please find the attached drawing of the parasail boat created with MS Visio
b) The angle of elevation of the parasail rider from the boat is approximately 48.6°
Step-by-step explanation:
a) Please find the labelled diagram of the parasailing boat created with MS Visio
b) sing trigonometric ratios, we have;
[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]
The opposite leg = The height of the parasail rider above water = 300 ft.
The hypotenuse = the length of the tow line = 400 ft.
θ = The angle of elevation of the parasail rider
[tex]\therefore sin(\theta) = \dfrac{300 \, ft.}{400 \, ft.} = 0.75[/tex]
θ = Arctan(0.75) ≈ 48.6°
The angle of elevation above the horizontal of the parasail rider from the boat, θ ≈ 48.6°
c) From the construction of the drawing and the derivation of the angle of elevation given only the length of the tow line and the height given to the parasail rider by the speed of the both,
Parasailing boats traveling at the same speed, having the same length of tow line, will have the same angle of elevation, provided other factors that have an effect on the angle of elevation are the same
Subtract (5u + 6v) from (8u + 10v)
Answers
Answer:
-3u-4v
Step-by-step explanation:
5u+6v-(8u+10v)
=5u+6v+-1(8u+10v)
=5u+6v+-1(8u)+-1(10v)
=5u+6v+-8u+-10v
(combine like terms)
=5u+6v+-8u+-10v
=(5u+-8u)+(6v+-10v)
=-3u-4v
hope this helps
can you mark me brainliest pls
The value of the subtraction will be equal to -3u-4v.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the two expressions are (5u + 6v) and (8u + 10v). The subtraction will be calculated as,
5u+6v-(8u+10v)
S =5u+6v+-1(8u+10v)
S =5u+6v+-1(8u)+-1(10v)
S =5u+6v+-8u+-10v
(combine like terms)
S =5u+6v+-8u+-10v
S =(5u+-8u)+(6v+-10v)
S =-3u-4v
Therefore, the value of the subtraction will be equal to -3u-4v.
To know more about an expression follow
https://brainly.com/question/25207082
#SPJ2
Pls help i really need it rn-
Answers
This is just what I think, it might not be right- the first one is (-2, 4), the second one is (-5, 1), the third one is (-2, -2), and the fourth one is (1, 1).
(Sorry if it's wrong-)
Solve the system using
substitution
Y = 2X – 1
4x + 3y = 7
Answers
Answer:
1,1
Step-by-step explanation:
See steps below:) I could only show half of the steps. but you can use the app photo math. It will show you all the steps.
If P =(2,-1) , Find the image of P under the following rotation 90 degrees
counterclockwise about the origin
( [ ? ] , [ ? ] )
Answers
Answer:(1,2)
Step-by-step explanation:
The image of point P = (2, -1) is (1, 2)
What is rotation?"It is a transformation in which the object is rotated about a fixed point.""An object can be turned clockwise or counterclockwise on the coordinate plane"For given question,
We have been given a point P = (2, -1)
We know that if point (x, y) is rotated 90 degrees counterclockwise about the origin then the coordinates of image is (-y, x)
So, when point P is rotated 90 degrees counterclockwise about the origin then the coordinates of the image would be (-(-1), 2) = (1, 2)
Therefore, the image of point P is (1, 2)
Learn more about the rotation transformation here:
https://brainly.com/question/12865301
#SPJ2
John claims that Point X = – 4, and Point Y = 2. Which of the following statements provide support for John's claim? Select three that apply. X < Y because X is left of Y X > Y because X is left of Y X < 0 because X is left of zero Y < 0 because Y is right of zero X > 0 because X is left of zero Y > 0 because Y is right of zero
Answers
Answer: X<Y, X>0
Because -4 is less than 0 and -4 is greater than 0
Translate algebraic words to symbols.
The quotient of x and y
A. Xy
B. X+y
C. X-y
D. xly
Answers
Answer:
d.) x/y
Step-by-step explanation:
quotient means to divide and d shows x & y getting divided
PLEASE HELP ME I AM BEING TIMED, I WILL MARK BRAINLIEST FOR WHOEVER GETS THIS RIGHT, WITH AN EXTRA 10 POINTS.
An aquarium tank holds 285 liters of water. How much is this in gallons? Use the following conversion: 1 gallon is 3.8 liters.
Answers
Answer:
75 gallons
Step-by-step explanation:
285/ 3.8= 75
so the the answer is 75
If 2/3x - 1 = 4, then x =
Answers
Answer:
7.5
Step-by-step explanation:
2/3 x 7.5 = 5
5 - 1 = 4
Students from the local high school are selling tickets to the town's annual carnival. Adult
admission is $5.00 and child admission is $2.50. Two hours after the carnival opened its first
day, 440 tickets had been sold totaling $1900. How many adults and how many children
entered the carnival during the first two hours it was open?
Answers
Answer:
320 adults and 120 children
Step-by-step explanation:
First set up two sets of equations. One will equal the total amount of money sold and the other will equal the total amount of tickets sold.
5a + 2.5c = 1900 where a is the # of adult tickets sold and c is the # of children tickets sold
a + c = 440
Now solve for either a or c in the second equation. I chose to solve for a. a=440-c
Use that to substitue into the other equation.
5 (440-c) +2.5c = 1900
2200-5c +2.5c = 1900
-5c+2.5c = -300
-2.5c=-300
c=120
Now plug 120 into the equation a+c=440 and solve for a
Hot chocolate or Apple cider
Blanket or slippers
Car or job
Cell phone or tablet
Job or college
School or fun
Day party or pool party
Birthday party or cook out
Wendys or McDonald's
In-n-Out or cook out
Wawa or sheets
Answers
apple cider
blanket
job
cell phone
job
fun
pool party
birthday party
McDonald's
cook out
N/A
Which rule can be used to find the output numbers in this table?
No links please.
Answers
Multiply the input number by 9
The more frequently heroin is used, the greater the risk of permanent damage of addiction or dependence.
True
False
Answers
Explanation:
heroin is a addictive substance and the more you take it the greater risk of developing short and long term effects
Copy the figure. Identify and describe the number of lines of symmetry for the
figure. List the angles of rotation for the figures that have rotational symmetry.
Answers
Answer:
Non-isosceles Trapezoid: "0" (No) number of lines of symmetry
Rotational symmetry order: 0 , Rotational Symmetry angle: none
Step-by-step explanation:
Non-isosceles Trapezoid: "0" (No) number of lines of symmetry
Rotational symmetry order: 0 , Rotational Symmetry angle: none
Three numbers multiplied together give an answer of -12. The sum of two of the numbers is zero. What could the three numbers be?
Answers
solve for x. enter you answer below as a fraction
Answers
Answer:
x=9/80
Step-by-step explanation:
Answer:
9/80
Step-by-step explanation:
[tex]1)\ x + \frac{9}{20} = \frac{9}{16}[/tex]
[tex]2)\ x = \frac{9}{16} - \frac{9}{20}[/tex]
[tex]3)\ x = \frac{9}{16} - \frac{9}{20}[/tex]
[tex]4)\ x = \frac{45}{80} - \frac{36}{80}[/tex]
[tex]5)\ x = \frac{9}{80}[/tex]
Choose the inequality that represents the following graph.
Answers
A drawer contains a blue shirt, a black shirt, and a white shirt. Another drawer contains a blue pair of pants and a black pair of pants. One shirt and one pair of pants are chosen at random.
How many different possible outcomes are there?
I will mark brainiest on whoever gets it right.
Answers
Answer: 6 possible outcomes
Step-by-step explanation:
blue shirt - blue pants
blue shirt - black pants
black shirt - blue pants
black shirt - black pants
white shirt - blue pants
white shirt - black pants
6 outcomes
The total number of outcomes is given by the equation A = 6 outcomes
What is union and intersection of sets?The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B
The union of two sets is a new set that contains all of the elements that are in at least one of the two sets
The intersection of two sets is a new set that contains all of the elements that are in both sets
Given data ,
Let the number of outcomes be represented as set A
Now , the shirts be represented as set 1
The value of set 1 = { blue shirt , black shirt , white shirt }
The number of elements in set 1 = 3
The pair of pants be represented as set 2
The value of set 2 = { blue pair , black pair }
The number of elements in set 2 = 2
Now , the total number of possible outcomes A = number of elements in set 1 x number of elements in set 2
Substituting the values in the equation , we get
The total number of possible outcomes A = 3 x 2
The total number of possible outcomes A = 6 outcomes
Therefore , the value of A is 6 outcomes
Hence , the number of outcomes is 6
To learn more about sets click :
https://brainly.com/question/28278437
#SPJ2
A teacher would like to estimate the mean number of steps students take during the school day. To do so, she selects a random sample of 50 students and gives each one a pedometer at the beginning of the school day. They wear the pedometers all day and then return them to her at the end of the school day. From this, she computes the 98% confidence interval for the true mean number of steps students take during the school day to be 8,500 to 10,200. If the teacher had used a 90% confidence interval rather than a 98% confidence interval, what would happen to the width of the interval
Answers
Answer:
The answer is "It would decrease, but not necessarily by 8%".
Step-by-step explanation:
They know that width of the confidence level is proportional to a confidence level. As just a result, reducing the confidence level decreases the width of a normal distribution, but not with the amount of variance in the confidence level. As just a result, when a person teaches a 90% standard deviation rather than a 98 percent normal distribution, the width of the duration narrows.
PLEASE HELP ASAP!!!!
Complete the following chart. Describe the graph of each parabola relative to the graph
of y = x2. Indicate the number of units, where applicable. Sketch each graph.
Answers
Answer:
where is the graph lol
Step-by-step explanation:
need a graph
evauate the problem 5y=30
Answers
Answer:
y = 6
Step-by-step explanation:
5y = 30
5y ÷ 5 = 30 ÷ 5
y = 6
5x6=30
Hope this helped
A monarch butterfly averages about 50 miles per day on its migration to Mexico.
a. Complete the ratio table to show rates that are equivalent to 50 miles per day.
Time (days)
1
1
N
4
8
Distance (miles) 50
Answers
Answer:
1,50 2,100 4,150 8,400
Step-by-step explanation:
multiply each number by the time (days)
Answer:1,50 2,100 4,200 8,400
Step-by-step explanation:
If 1=50 then 2=100 just repeat that easy
What is the value of y for the point with an x-value of 5?
Answers
Plz help I will mark brainliest plz
Answers
Answer:
The equation is [tex](x - 2)^2 + (y + 7)^2 = 9[/tex]
Step-by-step explanation:
there are 6 pizzas to be divided for a baseball team wich has 15 players how much of each pizza will each player receive
Answers
Answer:
0.4 or 2/5
Step-by-step explanation:
36/9+2/9 fraction adding!!!
Answers
Answer: 38/9
Step-by-step explanation: Because the fractions presented already have common denominators, the only thing you need to do in order to solve the problem is add the numerators. 36+2= 38, and you keep your denominator the same when adding fractions (when they are the same).
This stem-and-leaf plot represents the ages of people watching a music concert.
How many people are at least 30 years old?
Answers
Answer:
4
Step-by-step explanation:
stem is the first number so it would just be all the numbers in the stem 3.
I need help fast please
Answers
The table below shows the cost of downloading songs from a website.
Number of Songs Total Cost
At this rate, what is the cost per song?
Answers
Answer:
$1.27 per song
Step-by-step explanation:
15 / 11.85 = 1.2658 -> rounded to $1.27
18 / 14.22 = 1.2658 -> rounded to $1.27
20 / 15.80 = 1.2658 -> rounded to $1.27
Plz help.
Thank u soooooo muchhh
Answers
Answer:
false
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
12=100+0.3x
-100 -100 subtract 100 both side
-88=0.3x divide -88 into 0.3
x=-293.3