2. Find the value of x in the triangle. Round your answer to the nearest tenth of a degree. Show your work.
Answers
In the above case which involves a Pythagorean Triangle, using the trigonometric function TOA to solve we get: 61.93°
What is the Trigonometric function TOA?
TOA is the acronnum for:
Tangent (θ) = Opposite /Adjacent
Tangent (θ) = 8/15
θ = Tan⁻¹ 0.5333333333
Thus
θ = 61.93°
Learn more about Trigonometric functions:
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Related Questions
6.
The distance from London to New York is 3456 miles.
A plane takes 8 hours to fly from London to New York.
Work out the average speed of the plane.
Di
Answers
Answer:
3456/8 = 432
432 miles per hour
Step-by-step explanation:
what fraction of 9 is 3
Answers
Answer:
1/3
Step-by-step explanation:
Take the part over the whole
3/9
We can simplify
Divide the top and bottom by 3
1/3
1/3
Step-by-step explanation:
3/9 is 1/3 because dividing both sides by 3 is 1/3
Helppppppp me with question 5 Tuesday pleaseeeeee
Answers
Answer:
n=19
Step-by-step explanation:
5+14=n
19=n
72 is the result of x-20%
Help please--the way that I thought of solving this is not what the book says the answer is
Answers
Answer:
The original cost was $90.
Step-by-step explanation:
"Judy bought a coat at the office of $72, which is 20% off the original price. what was the original cost of the coat?"
Your equation contains an error that will lead to an incorrect answer.
This is the correct way to write the equation.
We don't know the original price, so we let x = the original price.
The discount was 20% off the original price, so the discount is 20% of x.
20% of x is the same as 20% * x = 0.2x. The discount is 0.2x. We now subtract the discount from the original price.
x - 0.2x
She paid the discounted price of x - 0.2x. We are told that amount is $72, so we let our expression of the discounted price equal the discounted price we are told she paid.
x - 0.2x = 72
Now we solve for x, the original price.
x - 0.2x = 72
Combine like terms on the left side.
0.8x = 72
Divide both sides by 0.8
0.8x/0.8 = 72/0.8
x = 90
Answer: The original cost was $90.
P.S.
You must be careful when writing the equation. What you wrote was
x - 20%
on the left side. Notice that 20% is simply equal to 0.2; it is not 20% of the original price. By writing
x - 20% = 72
you are in fact writing
x - 0.2 = 72
meaning that the discount was $0.20
A discount of 20% on $90 is really $18, not $0.20.
There is a big difference there.
If you have any questions, just ask in the comments.
Find the length of AB
Answers
Answer:
69
Step-by-step explanation:
15-3x=-6 what is the answer
Answers
Answer:
x=7
Step-by-step explanation:
find the highest common factor using prime factorization for 27y and 54y³
Answers
Given:
27y and 54y³
To find:
The highest common factor (HCF) using prime factorization.
Solution:
We have,
27y and 54y³
Using the prime factorization, we get
[tex]27y=3\cdot 3\cdot 3\cdot y[/tex]
[tex]54y^3=2\cdot 3\cdot 3\cdot 3\cdot y\cdot y\cdot y[/tex]
Now, the common prime factors are 3, 3, 3 and y. So,
[tex]HCF=3\cdot 3\cdot 3\cdot y[/tex]
[tex]HCF=27y[/tex]
Therefore, the highest common factor of the given terms is 27y.
What is the volume of a pyramid container if the area of its base is 100 square inches and its height is 5 inches
Answers
Answer:
V≈166.67
Step-by-step explanation:
V=ABh
3=100·5
3≈166.66667
Answer:
166 2/3
Step-by-step explanation:
The formula to solve for the volume of a pyramid is lwh/3. Plug those numbers in and you'll get 10*10*5=500/3 = 166 2/3.
1/2(m - 3) = 1/4(m - 7)
I
Solve
Answers
½m - ¹/₄ m = -⁷/₄ + ³/₂
¹/₄ m = -¹/₄
M=-1
Your friend says that the solutions to the inequality 7x-20x<52 are x<-4 Solve the inequality correctly. What error did your friend make?
What are the solutions of the inequality?
Answers
Answer:
instead of x < -4 it should be x > -4
Step-by-step explanation:
7x - 20x < 52
subtract 20x from 7x which is -13x
now the equation is -13x < 52
divide both sides by -13 but when you divide by a negative you switch the sign so it would x > -4 not x < -4
hope this helps :)
Beth bought x pounds of grapes. Mary bought 4/9 less than that
Answers
Answer:
[tex]\frac{5x}{9}[/tex]
Step-by-step explanation:
Mary bought: x - [tex]\frac{4}{9}[/tex]x = [tex]\frac{5x}{9}[/tex]
Carlene is selling T-shirts for a fundraiser. The T-shirts cost $20.50 each. To date, she has raised $900. Her goal is to raise more than $10,740. How many more T-shirts, x, does Carlene need to sell to reach her goal?
Select the number line that includes the fewest number of T-shirts Carlene can sell and still meet her goal.
Answers
1. $20.50X + $900= $10,740
2. Subtract $900 to both side
3. $20.50X= $9,840
4. Divided $20.50 to both side
5. X=480
Answer: Carlene need 480 more T-shirts to sell to reach her goal.
Check answer:
1. X=480
2. $20.50(480) +$900=$10,740
3. $20.50(480)=$9,840
4. $9,840 + $900= $10,740
5. $10,740=$10,740( check, so it’s percent correct)
NEED HELP ASAPPP please
Answers
Answer:
it might be d I am not shore but I think that one sounds the best branley is making me do this to sigh. up sorry donjot use this
An observer (O) spots a bird flying at a 42° angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 17,000 ft., how far is the bird (B) from its nest (N)? Round to the nearest whole number. (4 points)
A right triangle B N O is shown with angle B marked 42 degrees, side B N marked x and side B O marked 17000 feet.
a
11,375 feet
b
12,633 feet
c
14,862 feet
d
15,307 feet
Answers
Answer:
12,633 feet
Step-by-step explanation:
The horizontal distance between the observer and the bird's nest is
b. 12,633 feet
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, An observer (O) spots a bird flying at a 42° angle from a line drawn horizontally to its nest.
The hypotenuse distance which is from the observer's eye to the bird's nest is 17000ft and we need the horizontal distance or the distance of the adjacent.
∴ , cos = adjecen/hypotenuse.
cos42° = adjacent/17000.
adjacent = 17000×cos42°.
adjacent = 17000×0.743.
adjacent = 12631 feet.
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WILL GIVE BRAINLIEST
A Fast Food Restaurant is offering 5 different toys in a kid's meal. A simulation was conducted to predict how many kid's meals must be bought in order to get all 5 toys. The results of 30 trials are shown in the stem and leaf plot below. (Each data point represents the number of kid's meals one person had to buy to receive all 5 toys.)
Based on the results of the simulation, what is the total number of people out of 200 who would need to buy less than 10 boxes of cereal to get all 5 toys? Show or Explain or work.
Answers
Answer:
Step-by-step explanation:
look for the stem and leafs that are less than 10 and add them all up
5+7+9
What is the solution to the equation 37x = 9x + 4?
-7
-1/7
1/7
7
Answers
37x - 9x = 4
28x = 4
x = 7
Answer: The solution is C. 1/7.
Step-by-step explanation: Just plug 1/7 as x. You will find that the statement is true when you plug in 1/7.
A garment Stroe bought so shirts cut the rate of
400 per shirts and sold them at a loss of
1600 Find S.p?
Sop=20000
Answers
Answer:
the selling price is 18,400
Step-by-step explanation:
The computation of selling price is shown below:
Given that
The cost price of the shirts is 20,000
And, there is a loss of 1,600
So, the selling price is
= 20,000 - 1.600
= 18,400
hence, the selling price is 18,400
Translate the sentence into an equation.
Six more than the product of a number and 3 is 2
Answers
Answer:
3X+6=3
Step-by-step explanation:
six more can added before or after of the product of a number X and 3. substitute is by =
3x×6=3
BRAILIEST for correct answer!! Pls help
What's the slope of a line that passes through (−12,15) and (0,4)?
Answers
Answer:
-11/12
Step-by-step explanation:
slope for points (x1,y1) and (x2,y2)
slope=(y2-y1)/(x2-x1)
(x,y)
(-12,15)
(0,4)
x1=-12
y1=15
x2=0
y2=4
slope=(4-15)/(0-(-12))=-11/(0+12)=-11/12
Answer:
Slope: -11/12x
Step-by-step explanation:
Slope-intercept equation:
y = mx + b
(m = slope)
The formula for slope is below.
m = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
With your two points, you can accurately determine your slope.
(-12, 15) (0,4)
x1 = -12
y1 = 15
x2 = 0
y2 = 4
Apply this information in the slope formula to get:
[tex]\frac{4 - 15}{0 - -12}[/tex]
Change the 0 - -12 to 0 + 12
[tex]\frac{4 - 15}{0 + 12}[/tex]
4 - 15 = -11
0 + 12 = 12
Place -11 and 12 into a fraction.
[tex]\frac{-11}{12}[/tex] OR -11/12
Add "x" to the end from "mx" within the slope-intercept equation
-11/12x
A baseball team had 75 players show up for tryouts last year and this year had 90 players show up for tryouts. Find the percent increase in players from last year to this year.
Answers
Answer:
20%
Step-by-step explanation:
Subtract the original number from the new number: 90-75=15
The increase is 15
Now divide the increase by the original number: 15/75=.20
Then multiply your answer by 100: .20x100=20
what is this 12 x ? = 5
Answers
0.416666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
y/-2 = -34
giving brain.
Answers
Answer:
y=68
Step-by-step explanation:
Answer:
y = 68
Step-by-step explanation:
We have the expression y over -2 = -34 and are asked to solve or y.
To solve, we need to isolate for y :
y/-2 = -34
Multiply -2 from both sides :
[tex]\frac{y}{-2} *-2=-34*-2[/tex]
[tex]y = 68[/tex]
cuántos galones estadounidensesb se necesitan para llenar un depósito que mide 24 in de ancho 27 in de largo y 18 in de alto?
Answers
Answer:
se necesitan aprox 50 galones para llenarlo por completo
Sakima is making cookies for a bake sale. He needs to make 20 dozen cookies. For each dozen, he needs 4 ounces of nuts. How many pounds of nuts should he buy?
A. 1 3/5 lb
B. 1/4 lb
C. 2 lb
D. 80 lb
E. 5 lb
Answers
Answer:
5
Step-by-step explanation:
20÷4=5
Enter the correct value in the space provided
Mariah is shopping at the mall for a sweatshirt. She finds a sweatshirt that is marked down 55% off the original price. The original price of the sweatshirt is $78.25. what is the sale price of the sweatshirt
Answers
Answer:
$35.21
Step-by-step explanation:
100%:$78.25
45% :$?
100?=78.25×45
?= 78.25×45/100
=$35.21
Answer: $35.21
Step-by-step explanation: 100%:$78.25
45% :$?
100?=78.25×45
?= 78.25×45/100
=$35.21
Which one of the following examples represent a repeating decimal?
Answers
Answer:
C. 0.777777
Step-by-step explanation:
Need help............
Answers
Answer:
i would say C
Step-by-step explanation:
Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Which statement is true regarding Antonio and Candice’s race?
Answers
I got the answer Antonio had a head start of 3 meters.
Answer: i just did a quiz with this question and the answer is antonio had a head start of 3 meters.
Step-by-step explanation: hope this helped! thx for the points :D
Where would the shape be located after a translation of 5 units to the right?
A. Quadrant 3
B. Quadrant 2
C. Quadrant 1
Answers
Answer:
It the shape would be in quadrant 1
Answer: Quadrant 1 I think
Step-by-step explanation:
Simplify n ⋅ n⋅ 2n
someone please help thanks
Answers
Answer:
the answer would be:
[tex]2n^3[/tex]
Hope that helps! :)
Step-by-step explanation: