Answers
Step-by-step explanation:
a) We are going g to use the definition of tangent to find x:
[tex]\tan{18°} = \dfrac{opp}{adj} = \dfrac{15}{x}[/tex]
[tex]\Rightarrow x = \dfrac{15}{\tan{18°}} = 46.2[/tex]
b) To solve this problem, we are going to use the definition of cosine:
[tex]\cos{70°} = \dfrac{adj}{hyp} = \dfrac{x}{46}[/tex]
[tex]\Rightarrow x = 46\cos{70°} = 15.7[/tex]
Related Questions
2. Write an equation of the line that passes through (-2,3) and is parallel to the line y=2x-1.
Answers
Hello there! :)
Parallel lines have identical slopes.
So if one line has a slope of 2, then the line parallel o it would have the same slope.
Now, use the Point-Slope form:
y-y1=m(x-x1)
y-3=2(x-(-2)
y-3=2x+4
y=2x+4+3
y=2x+7
Therefore, the equation of the line is: y=2x+7Hope this helps!
~Just a cheerful gal
#CarryOnLearning
[tex]SilentNature :)[/tex]
CAN SOME ONE PLS HELP ME THIS IS REALLY HARD
Answers
Answer: 1.25 times as far
Step-by-step explanation:
This problem requires you to find something called the unit rate.
Getting the unit rate for Car A is very simple, and can be found to be 25mi/gal.
To find the unit rate for Car B, simply look at the second row. Because the car can go 60 miles on 3 gallons of gas, divide both these numbers by 3 to get 20mi/gal.
Then, simply multiply both of these numbers by 11 to get 25 * 11 = 275, and 20 * 11 = 220.
Then, by doing 275/220, you get your answer: 1.25.
Hope it helps :) and let me know if you want me to elaborate.
Car A can travel 275 miles and car B can travel 220 miles
Step-by-step explanation:
pls mark as brainliest
The following section is a statement from the rental agreement Tim signed when he rented his car this past weekend.
"Upon checkout, the fuel level of the vehicle will be determined by turning the vehicle on and visually inspecting the fuel gauge. The approximate fuel level will be recorded on the Check-Out sheet and verified with initials by the vehicle Renter. One copy of the Check-Out sheet will be given to the customer. Another copy will be kept with the on-site records of the vehicle.
"The rented vehicle must be returned with a minimum fuel level the same as that indicated on the Check-Out sheet. A vehicle returned with a fuel level less than the approximate level indicated on the Check-Out sheet will be completely refueled with on-site pumps. The price of the fuel used to refuel the vehicle will be added to the Renter's total charge at a cost of $4.50 per gallon plus a $5.00 refueling charge."
Tim is running extremely late and has just 5 minutes to return his rental car to the agency. The fuel tank in the car is half empty. It was full when he picked it up. (The car has a 12-gallon fuel tank.) He doesn't think he can get gas and get to the agency to return the car in time. Returning the car a day late will result in an extra daily rental charge of $32.00 and refueling the car on his own will cost $2.59 per gallon at the local gas station. Which of the following statements is true?
a.
It would be cheaper to refuel the car and return it a day late.
b.
It would be cheaper to return the car on time and pay the refueling costs.
c.
It would cost about the same to return the car on time without gas or one day late with gas.
d.
Tim is not responsible for refueling the car when he returns it.
Answers
4/7 into decimal??? Then rounded to 3 decimal places??
Answers
Answer:
0.571
Step-by-step explanation:
:)
PLZZZ HELPPP
What are the domain and range of f (x) = 1/2 (x+4)^2 - 11
Domain: All real numbers
Range: f(x) > -11
Domain: 3 > -11
Range: f(x) > -11
Domain: All real numbers
Range: All real numbers
Domain: 2 > -11
Range: All real numbers
Answers
Answer:
D. Domain: 2 > -11
Range: All real numbers
Step-by-step explanation:
Correct me if I’m wrong UwU
Answer:
Domain: All real numbers
Range: f(x) ≥ - 11
Step-by-step explanation:
Given the quadratic function in vertex form, f(x) = ½(x + 4)² - 11:
The vertex, (h, k) is (-4, -11).
Range: f(x) ≥ -11.The parabola opens upward (where a = ½, which is greater than 0), and k = -11 is the minimum value for f(x). Hence, the range of the given function must be at least -11, or f(x) ≥ -11.
Domain: all real numbersThere is no restriction for the value of x. Therefore, the domain of the given function is all real numbers.
The length of a rectangle is 10 times its width. If the area of the rectangle is 52yd^2, find its approximate width.
Answers
Answer:
76377/9338912
Step-by-step explanation:
the mass of one sachet of coffee is 0.01 kg.
What is the equivalent mass in grams?
a.10 g
b.7 g
c.0.1 g
d.0.001 g
Answers
we know there are 1000g in 1 KILOgram, so how many grams in 0.01Kg?
[tex]\begin{array}{ccll} grams&Kgs\\ \cline{1-2} 1000&1\\ x&0.01 \end{array}\implies \cfrac{1000}{x}=\cfrac{1}{0.01}\implies (1000)(0.01)=x\implies \stackrel{g}{10}=x[/tex]
Find m∠BXY.
HELPPPPP PLS
Answers
Answer:
60°
Step-by-step explanation:
Connecting the mid points of the three sides of the triangle makes four more triangles all similar and half the size of the original. Corresponding angles of similar triangles have the same measure.
help me plz i need help
Answers
Answer:
x=16/15
Step-by-step explanation:
Identify each equation as direct variation, an inverse variation or neither. 6. m=2n 7. y = 6/w 8. st = 18 9. k= 42h 10. p = 3-4
Answers
Answer:
tnx to your points..
god bless you ..
maybe they help for youuu..
PLEASEEEE HELP! MY MOM IS GONNA KILL ME
Answers
Answer:
16
Step-by-step explanation:
Since the perimeter of the rectangle is 80, we can set up the perimeter formula:
80=2L+2W=2(3x+3)+2(2x+2)=6x+6+4x+4=10x+10
10x=70
x=7
AB=2x+2=2(7)+2=14+2=16
Answer:
AB= 16
Step-by-step explanation:
2x+2+3x+3=40
Add like terms: 2x+3x= 5x and 2+3=5
New equation: 5x+5=40
Solve: 40-5= 35
35 divided by 5= 7Now we know that x is equal to 7.
2(7)+2= 16
Side DC equals 16.
Side AB has the same length as side DC since it's a rectangle.
Side AB equals 16.
Let's check: 16+16=32 (side DC and side AB)
80-32=483(7)+3= 2424 must be the length of the other sides.
24+24= 48So, when you add all the sides together...
16+16+24+24= 80
You get 80, the perimeter!
I hope this helped!
Which of these situations can be represented by this graph?
Answers
Answer:
Step-by-step explanation:
Please help I do not really know what I’m doing if you could give an example of that would be good too but if not that’s OK
Answers
Answer:
the dot would be shaded in and from -6 go to the left
Step-by-step explanation:
Determine whether each situation represents a discrete or continuous function.
a. The function y = 30.48x converts length from x feet to y centimeters. [ A. discrete , B. continuous ]
b. The function y = 3x + 2 represents the amount of water y in gallons in a tank after x minutes.
[ A. discrete ,B. continuous ]
Answers
Answer:
Both of those are continuous
Step-by-step explanation:
A discrete function is only defined for a specified countable set of x, neither of the two provided fit that description. On the other hand, both are defined for arbitrary positive real numbers.
The value of both functions is defined for a continuous interval of x thus both will be continuous.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The nature of the relationship defines the function for example y = sinx and y = x +6 like that.
Given the first function →
y = 30.48x where x is feet and y is a centimeter of conversion.
Now, it is known that for every foot interval there will be a centimeter that exists therefore they will be defined for all continuous intervals of x so it will be continuous.
The second function →
y = 3x + 2 where x is minutes and y is the number of gallons in a tank.
Now since for every minute of the interval, there will be a certain amount of gallons in the tank so it will be also continuous.
Hence "The value of both functions is defined for a continuous interval of x thus both will be continuous".
For more about the function,
brainly.com/question/23712366
#SPJ2
What's 3 1/200 as a percent?
Answers
Answer:
31200=300.5%
Step-by-step explanation:
31200=3+1200
=31+1200
=(31×200200)+1200
=600200+1200=601200
We know that
601200
is the same as
601÷200
Then using
gives us
=3.005
Convert the decimal to a percent:
3.005×100
and rounding to a Max of 2 Decimal Places
=300.5%
can someone give me the answer to this please!
Answers
Answer:
f hnjkhufqeyuwegbwegnasdgjbbhdfu8isbhwsduihjjrwhiwerhugwhj4g4wyug4huwreuywefgkofjfu9qhfu8mfnfnjrfnfjqwejknuiaefhbuqwiefjjjhjjjj
Step-by-step explanation:
fgjnwehgbwhgbge
For a weekly car rental, a car rental company charges customers a flat fee of $100 plus
10 cents for every mile traveled.
15 Write an equation for the amount, A dollars, of a weekly rental for a car that travels
m miles
Answers
The way you typed out this sentence was a bit confusing but I think you were saying...
For a weekly car rental, a car rental company charges customers a flat fee of $100 + and charges 10 cents for every mile traveled. write an equation for the amount of a weekly rental car that travels 15 miles (Please let me know if I am wrong)
The equation would be
10+10 +10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10 = 150 cents
so they would be charging $1.50
Hoped this helped!
Have a great day/night! :)
The letter w represents a whole number such that 2021 + w is a multiple of 7. What is the smallest possible value of w?
Answers
Answer:
2
Step-by-step explanation:
2021/7 leaves a remainder of 5 so add 2 and that's the answer
Use the slope formula to fond the slope of the line that passes through the two points.
(13, -2) and (3, -2)
Answers
Answer:
Step-by-step explanation:
Notice that the y-component is the same, -2, in these two points. That means y does not change as x changes, and therefore we conclude that the slope of the line connecting the two points is m = rise / run = 0.
-2 - (-2)
Alternatively, use m = -------------- = 0
3 - 13
The value of the slope in question is zero: m = 0
Line /1 and line /2 are parallel lines. Determine the measures of <1 though <12
Answers
Answer:
1=56⁰
2=56⁰
3=68⁰
4=68⁰
5=56⁰
6=112⁰
7=180-124 Ans=56⁰
8=68+56 Ans=124⁰
9=68⁰
10=112⁰
11=124⁰
12=56⁰
MARK ME BRAINLIEST PLSSS ITS FREE
workout the size of angle x
Answers
Answer:
Where is it?
Step-by-step explanation:
A normal distribution of scores has a standard deviation of 10and a samplemean of 50. Find the probability corresponding to each of the following values:
a. a score of 67
b. a score that is below 36
c. a score that is greater than 78
d. a score between 52 and 67
Answers
Answer:
Step-by-step explanation:
o What proportion of normal distribution corresponds to z-scores < z = 1.00? o What is the probability of selecting a z-score less than z = 1.00? (A). (B). (C).
The amount of snowfall in November was 3 2/5feet. The amount of snowfall in December was 1 1/5feet.
How much more snowfall was there in November?
Write your answer as a mixed number in simplest form.
Answers
2 1/5
Step-by-step explanation:
3 - 1 = 2
2/5 - 1/5 = 1/5
2 + 1/5 = 2 1/5
plzz help me asap plzzzz
Answers
Answer:
1.-13.2
2.6485
Step-by-step explanation:
What is the simplified form of the expression? 7r - 8r + 13 -2r + 5? Please help me
Answers
Answer:
- 3r + 18
Step-by-step explanation:
7r - 8r - 2r + 13 + 5 = 7r - 10r + 18
Factor x^2+5x+2 trinomial
Answers
Answer:
You cannot factor this.
Step-by-step explanation:
Nothing can multiply, to equal 2 and add up to 5.
PLEASE HELP WITH THIS ONE QUESTION
Answers
Answer:
Step-by-step explanation:
Donnel purchased two pairs of jeans. There was a 20% discount on one pair of jeans with an original price of $45.50. There was a 40% discount on the other pair of jeans with an original price of $32.20. How much did he save altogether?
Answers
Answer:
$21.98
Step-by-step explanation:
45.50 * .20 = 9.1
32.20 * .40 = 12.88
12.88 + 9.1 = 21.98
Read and analyze the following. Write the correct answer.
1. What is a way of comparing two or more quantities?
2. What is the statement of equality between two ratio? Write a ratio of the following:
3. ?
4. ?
5. Compare the number of balloons to party hats. 三
6. Express the ratio in its simplest form the given figure in number 4. 7. Express the given ratio of four one-peso coins to Php80.00 coins in its simplest form using colon form. answer it with solution pls
Answers
Ratios are simply used to compare two or more related quantities
(a) Comparing quantities
To compare quantities, we make use of ratios.
Hence, a way to compare two or more quantities is by using ratio
(b) Statement of equality between ratios
When two or more ratios are equal, the ratios are said to be equivalent ratios
Hence, the statement of equality between ratios is equivalent ratios
(c) Express (3) and (4) as ratios
There are 10 stars and 8 crosses.
So, the ratio is 10 : 8
There are 3 toys and 9 books.
So, the ratio is 3 : 9
(d) Compare balloons and party hats
There are 12 balloons and 18 party hats.
So, the ratio is 12 : 18
Reduce the ratio as follows:
12 : 18 = 2 : 3 ---- this is done by dividing 12 and 18 by 6
So, the comparison is:
There are 2 balloons for every 3 party hats
(e) Simplify (4)
In (4), we have:
Ratio = 3 : 9
Divide by 3
Ratio = 1 : 3
Hence, the simplified ratio is 1 3
(f) Express the currency ratio in its simplest form
The ratio is given as:
Ratio = 4 * 1 peso coin : Php80.00 coin
Evaluate the product
Ratio = 4 peso coin : Php80.00 coin
Divide both sides by 4
Ratio = 1 peso coin : Php20.00 coin
Hence, the simplest form of the ratio is 1 : 20
Read more about ratios at:
https://brainly.com/question/25326254
I really need help this is due in a little bit and I need to finish
Answers
Answer:
The correct form is [tex]y = -2x + 24[/tex]
Step-by-step explanation:
First we need to interpret the equation of Nolan.
The [tex]y[/tex] means the current value in the bank accountThe [tex]x[/tex] means the past days-2 means that spend each dayand 12 the initial amount in the bankHow you can see the initial amount in the bank is incorrect because Nolan started with 24 instead of 12.
So the correct form of the equation is:
[tex]y = -2x + 24[/tex]