Answer:
By an online search, i found that the table is:
x = 0° 30° 60° 90° 120° 150° 180°
y= 10 4+3*√3 7 4 1 4 -3*√3 -2
Where x is in degrees.
And we want to find the value of y, when x = 45°.
And our equation is:
y = a*cos(x) + b
Notice that we have two variables in our equation, a and b, then we need to choose two of the points in the table to write equations.
I will choose te points
x = 0°, y = 10
and
x = 90°, y = 4
Now we can replace these values in the equatio to get:
10 = a*cos(0°) + b
4 = a*cos(90°) + b
We know that:
cos(0°) = 1
cos(90°) = 0
(because of those relationships is that i choosen these points)
Replacing that in the equations, we get:
10 = a*1 + b = a + b
4 = a*0 + b = b
From the second equation, we get:
b = 4
Now we can replace this in the first equation to get:
10 = a + b = a + 4
10 - 4 = a = 6
Then our equation is:
y = 6*cos(x) + 4.
Now we want to find the value of y when x = 45, to do it, we just replace the value of x in that equation:
y = 6*cos(45°) + 4 = 6*(√2/2) + 4 = 8.24
The school store sells pencils for $0.30 each, hats for $14.50 each, and binders for $3.20 each.
Elena would like to buy 3 pencils, a hat, and 2 binders. She estimated that the cost will be less
than $20.
Do you agree with her estimate? Explain your reasoning.
Answer: the answer is $29.9
Step-by-step explanation:
No, she wrong it will be less than $20
Answer:
No
Step-by-step explanation:
I did the whole thing on paper because it gave me 21.80$
PLS HELLLLLPPPP ASAPPPP!
Interest = $45
Principal = ?
Interest rate = 3%
Time = 2 years
What interest is this. Simple or compound? Cause both have different formulas.
Simple interest
A(interest) = (Principal× Rate×time)
A= (P ×3×2years)/100%
$45 = 6/100P
4500= 6p
4500/6 = P
principal= $750.
55 per cent of the students in a school are girls. What percentage of the students are boys? Find the number
of students, if there are 216 boys
Answer:
Percentage of boy students is 45 per cent.
The total number of students is 480.
Step-by-step explanation:
To find the percentage of boy students, just subtract 55% (the percentage of girl students) from 100%, then you'll get 45%.
To find the total number of students, just use algebraic equation, rearrange it, and solve for x.
The workings are shown in the picture attached. Hope this helps!
Answer:
total of students is 480
Step-by-step explanation
let t = total of students.
if 55% of the students in school are girls.
then 45% of the students in the school are boys.
if there are 216 boys in school.
[tex]45\% \times t = 216 \\ t = \frac{216}{45\%} \\ t = \frac{216}{ \frac{45}{100} } \\ t = \frac{216 \times 100}{45} \\ t = 480[/tex]
Find the measure of angle R
Answer:
since all sides are congruent the you could divide 180 by the because there are 180 degrees in a triangle
So the measure of angle R is 60 degrees
Select the correct answer.
Which expression is equivalent to 2d^2-6/d^2+2d-48 / d-3/2d+16if no denominator equals zero?
Please help. On Pluto
Answer:
B; 4/d-6
Step-by-step explanation:
We want to perform a division here
Flipping the right hand side while changing the sign to multiplication, we have that;
(2d - 6)/ (d^2 + 2d -48) * (2d + 16)/d-3
= 2(d-3)/(d^2 + 2d - 48) * 2d + 16/d-3
= 2/(d^2 + 2d - 48) * 2d + 16/1
2/(d-6)(d + 8) * 2(d + 8)/1
= 2/d-6 * 2/1
= 4/d-6
What is 4/9 + 1/9 (This problem is very easy because there are like denominators)
Answer:5/9
Step-by-step explanation:
4/9+1/9
add 1 to 4
5/9
Plz help due tomorrow
Answer:
you combine like term
-8.5+7.9
Step-by-step explanation:
Write a numerical expression to represent the phrase.
the sum of 6 and the square of 12
Enter the correct answer in the box.
Answer:6 + 12² = x
Hope it helps! Have a great day!
A numerical expression to represent the phrase the sum of 6 and the square of 12 is, P = 6 + 12²
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given information,
We have to make numerical expression of,
sum of 6 and the square of 12
Suppose expression value is P
Then, P = 6 + 12²
Therefore, The desired result is P = 6 + 12²
To know more about Expressions check:
brainly.com/question/16804733
#SPJ2
Please help due now
Answer:
2x+7y+4
hope it helps.....
1. The measure of side c is 150 feet and the
measure of side a is 60 feet. What is the
length of side b?
Answer:
Step-by-step explanation:
We need a picture of what you're talking about.
A company rents a bicycle by charging a rental fee plus an hourly rate.
The rental fee is $10 and the hourly rate is $2 per hour.
Write an expression that represents the cost(in dollars) of renting a bicycle for h hours.
(the h is the Variables.)
Answer:
y=2x+10
Step-by-step explanation:
1hr-12 dollars
2hrs-14 dollars
4hrs-18 dollars
and henceforth adding two
Jack and Jill each bought 100 pounds of cashews. Jack divided his cashews into 23 equal amounts and put them in paper bags. Jill divided her cashews into 18 equal amounts and put them in paper bags. To celebrate, each ate a bag of cashews. Now, Jack has 22/23 of his paper bags and Jill has 17/18 of her paper bags. Who has more pounds of cashews left?
Answer: Jack
Step-by-step explanation:
100÷2=50
50÷23=2.1739130435
50÷18=2.7777.....8
Résous l'équation suivante pour la variable d:
d - 9 = 11
Answer:
Résous l'équation suivante pour la variable d:20
Step-by-step explanation:
/
D-9=11
20-9=11
A salesgirl is paid a basic wage of $140 per
week. In addition, she is paid a commission of
5% on the value of goods she sells. How much
commission will she be paid on sales amount-
ing to $1 525 and what is her gross wage for the
week?
Answer:
This week her gross wage is equal to $216.25
Step-by-step explanation:
From the question it self we can make the following equation.
Let "W" be the gross wage for the week.
Let "V" be the value of the goods she sells.
then.....
W = $140 + 0.05V
(Where $140 is the price she will be paid for just working and 0.05V is the commission she will get paid this week)
Now that we know what "v" equal to, we can easily find out her Gross Wage this week by inserting in the value of V. And so we get.......
W = $140 + 0.05V
W = $140 + 0.05 x 1525
W = $140 + 76.25
W = $216.25
This is the equation I need help wiht
Answer:
y=-5x+5
Step-by-step explanation:
y=mx+b
m = slope which is 5 going down, so -5
b = y intercept which is 5
15. A county fair charges $9.50 to get in and $2.50 per ride ticket. What is the cost of entering the fair and buying 4 ride tickets? *
Answer:
$19.50
Step-by-step explanation:
Multiply $2.50 by 4, which will give you $10.00.
Then, add $9.50 and $10 together, which gives you. a total of.
$19.50
Answer:
Hi, The answer is
Step-by-step explanation:
Well all you have to do is multiply 2.50 by 4=10 and add 9.50. And it all equals 19.50$.
I REALLY hope this helps you! :)
What is the slope of the line?
Answer:
Slope = [tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
How many feet are in 47 yards?
Plz help. Less than 10mins to finish this a few others.
Answer:
RS = XY (since the two a triangles are similar, you have to match the sides up and then set the values equal to eachother to find the value of x)
3x +2 = 5x -3 (subtract 5x from both sides)
-2x +2 = -3 (subtract 2 from both sides)
-2x = -5 (divide both sides by -2 to isolate x)
x = 2.5 (take the value of x and plug it into the expression given for RS)
3(2.5) +2 (multiply)
7.5 +2 (add)
9.5 (this is the length of RS)
Step-by-step explanation:
I hope this helps :)
PLEASE help im timed
Answer:
Step-by-step explanation:
Last one?
Answer:
the second one
Step-by-step explanation:
SOHCAHTOA, we use the toa part
tan(24)=x/12
Two rectangles are similar. The first rectangle has a length of 12 cm and a width of 4 cm. The width of the second rectangle is 20 cm. What is its length?
Answer:
60
Step-by-step explanation:
if they are similar:
4×5=20
so
12×5=60
Which function is not linear? A. f(x)=x/4 B. f(x)=2x+1 C. f(x)=-3 D. f(x)=-1/x
Answer:
f(x) = -1/x
Step-by-step explanation:
Here, we want to find the function that is not linear
A linear function is of the form;
y = mx + b
where m can be zero, or b can be zero
The only option that does not follow this description is
f(x) = -1/x
1)
Operating Farmers Markets
5000
4000
3000
Number of Markets
2000
1000
1994
1996
1998 2000 2002 2004
2006
The graph from the US Department of Agriculture shows the growth of farmers markets in the United States. Based on the pattern
in the graph the number of farmers markets in the US in 2008 will likely
stay the same
B)
increase to more than 4500,
o
decrease to less than 4000
D)
increase to more than 6000,
Answer:
D
Step-by-step explanation:
the two angles measuring (30 + 2 a)degree and (125 -a) degree supplementary to each other, then find the value of a.
Answer:
The value of a is 25
Step-by-step explanation:
When two angles are supplementary, they add up to 180 degrees
Mathematically,
(30 + 2a) + (125-a) = 180
30 + 2a + 125 - a = 180
a + 155 = 180
a = 180-155
a = 25 degrees
help please. i need this
[tex]\Large\boxed{\tt Answer:~Isosceles~Triangle;~x=25}[/tex]
[tex]\tt Step-by-step~explanation:[/tex]
Since this triangle has two congruent angles/sides, we know that it is an isosceles. We can tell by looking at the markings on the triangles: The curves on both angles A and C indicate that they are congruent, and the markings on lines AB and CB also tell us that they are congruent.
To solve for x, we set up our equation like this:
[tex]\tt 4x-20=2x+30[/tex]
Since we know that lines AB and CB are congruent, that means 4x - 20 is equal to 2x + 30.
To solve, we can first subtract 2x from both sides and add 20 to both sides.
[tex]\tt 4x-(2x) -20=2x-(2x)+30\\2x-20+(20)=30+(20)\\2x=50[/tex]
Then, we divide both sides by 2 to isolate x.
[tex]\tt \frac{2x}{2} \frac{50}{2} \\x=25[/tex]
We can check if our answer is correct by plugging in our value for x into both expressions and see if they equal the same thing.
[tex]\tt 4(25)-20=80\\2(25)+30=80\\Correct[/tex]
What is the value of x?
Enter your answer in the box.
Answer:
114
Step-by-step explanation:
Answer:
[tex]x = 114[/tex]
the vertical angles is equal =
consider the equation _. determine the steepness in the line between x=1 and x=2.
Answer:
2/3
Step-by-step explanation:
Firstly we get the y value at both x points
At x = 1
y = 2/3 + 1/2 = (4 + 3)/6 = 7/6
At x = 2
y = 4/3 + 1/2 = (8 + 3)/6 = 11/6
The slope formula is
m = (change in y)/change in x
The slope is thus;
(11/6-7/6)/(2-1) = 4/6 = 2/3
HELPPPPPPPPPPPPPPPPPP
Answer:
Step-by-step explanation:
rise/run = 4/7
since were coming from the origin this is easy
since the y is 4 we know the rise is 4
since the x is 7 we know the run is 7
y = 4/7x
hope this helps <3
Kayla thinks that the slope of a vertical line is undefined, while Joshua argues that the slope of a vertical line is zero. Who is correct? *
Answer:
Kayla is correct
Step-by-step explanation:
For a vertical line, the x-value is the same
This means there is no change in the x value
A slope is calculated by dividing by the change in x value
since in this case , we will be dividing by zero, it means that the value of our slope is going to be undefined
This means that Kayla is correct
Choose the graph of this equation. y = 2.5x
Answer:
A.
have a good day or night