Answer:
154 ft
Step-by-step explanation:
A right triangle is formed, where the height of the wheel (h) is one leg, the distance between you and the base of the wheel is the other leg, and the distance between you and the top of the wheel is the hypotenuse (the angle included between the last two sides is 51°)
From definition:
tan(51°) = opposite/adjacent
tan(51°) = h/125
h = tan(51°)*125
h = 154 ft
In circle Y, what is mArc T U?
Answer: 71
Step-by-step explanation:
Answer:
if this is the circle than its B. 67 degrees
Step-by-step explanation:
A man is able to run an arc of 150° along a circular track, whose radius is 150 ft. How far did the man run?
Answer:
392.5 ft
Step-by-step explanation:
First, let's find the circumference of the track. This is 2 * 3.14 * 150 = 942 ft. 150° is 5 / 12 of 360° (the full circle) so that means that the minor arc it forms (which is also the arc the man ran) is 5/12 of the circumference. This means that the answer is 5/12 * 942 = 392.5 ft. Hope this helps!
Answer:
Step-by-step explanation:
length of the arc = angle/360 * 2 * pi * r
150/360 * 2 * 22/7 * 150
393 ft
The diameter of a cylinder is 3 yd. The height is 8 yd. Find the volume of the cylinder
Answer:
im not completely sure but i think its 56.55
sorry if its wrong:/
Step-by-step explanation:
what is the value of z for the equation 1/2z = -3/4 + 1/4z?
-3
-1
1
3
Answer:
z= -3
Step-by-step explanation:
[tex]\frac{1}{2} z[/tex] = [tex]\frac{-3}{4} + \frac{1}{4} z[/tex]
[tex]\frac{1}{2} z - \frac{1}{4} z[/tex] = [tex]\frac{-3}{4}[/tex]
[tex]\frac{2z - z}{4} = \frac{-3}{4}[/tex]
[tex]\frac{z}{4} = \frac{-3}{4}[/tex]
4z = -3×4
4z = -12
[tex]\frac{4z}{4} = \frac{-12}{4}[/tex]
z = -3
Hope this helps!!!
The value of z in the equation (1/2)z = - 3/4 + (1/4)z is 3/2.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
given, (1/2)z = - 3/4 + (1/4)z and we have to find the value of z or solve for z.
∴ (1/2)z = - 3/4 + (1/4)z.
(1/2)z - (1/4)z = 3/4.
(1/2)z = 3/4.
z = (3/4)×(2/1).
z = 6/4.
z = 3/2.
learn more about equations here :
https://brainly.com/question/10413253
#SPJ2
Which statements are true?
Select each correct answer.
All parallelograms are quadrilaterals.
All rectangles are squares.
All rhombuses are rectangles.
All squares are rhombuses.
Answer:
All rectangles are squares, All parallelograms are quadrilaterals,
Answer:
all squares are rhombuses, all parallelograms are quadrilaterals
Step-by-step explanation:
this is what is true
Archie plays a word board game. He places 98
lettered tiles and 2 blank tiles in a bag. Players
will draw tiles from the bag one at a time
without looking.
What is the probability that the first tile drawn
will be a blank tile? Labeled with a letter? A
vowel? A consonant?
Select each type of tile to see its probability.
Answer:
blank: 0.02
lettered: 0.98
vowel: 0.42
consonant: 0.56
Step-by-step explanation:
In the figure attached, the number of tiles of each letter are shown.
number of blank outcomes: 2
number of lettered outcomes: 98
number of vowel outcomes: 9 + 12 + 9 + 8 + 4 = 42
number of consonant outcomes: 98 - 42 = 56
Total number of outcomes: 100
Probability that first tile drawn is a blank tile: 2/100 = 0.02
Probability that first tile drawn is labeled with a letter: 98/100 = 0.98
Probability that first tile drawn is a vowel: 42/100 = 0.42
Probability that first tile drawn is a consonant: 56/100 = 0.56
Organic sugar used to be sold at a bulk price of $4 per pound. The price was recently increased by 25%. What is the current price per pound?
Answer:
5
Step-by-step explanation:
25/100*4=1= the increased price
so 4+1=5= the current price per pound
Which polygons are similar?
There are two 3's in the number 2,033,541.
Jessica says that the 3 on the left is 10 times the value of the 3 on the right.
Raul says the 3 on the right is 1/10 the value of the 3 on the left.
Who is correct? Explain your thinking.
Answer:
they are both right
Step-by-step explanation:
to the left is 10x value of number on the right
I somehow forgot how to do anything with fractions.
Answer:
-625
Step-by-step explanation:
-1/5 x 5^5=-625
hope this helped stay safe!
Answer:
625
Step-by-step explanation:
First Step:
Solve [tex]5^{5}[/tex] =3,125
Then:
Multiply 3,125 by [tex]\frac{1}{5}[/tex]
Last:
Solve!
Answer: 625
Hope this helped :)
1. Simplify the expression: 2(5a−4a)+6a =
2. −2(x−9)=44
Answer:
1. 8a
2. -13
Step-by-step explanation:
1. 2(5a − 4a) + 6a
= 10a - 8a + 6a
= 2a + 6a
= 8a
2. −2(x − 9) = 44
-2x + 18 = 44
-2x = 44 - 18
-2x = 26
x = 26/-2
x = -13
1) open the bracket
10a-8a+6a
2a+6a
8a
2) open the bracket
-2x+18=44. Remember - × - = +
Collect like terms
-2x=44-18
-2x=26
Divide both side by -2
x=-13
can anyone help me get this last part?
Answer:
Step-by-step explanation:
substitute a point value into the equation to find the missing number (the y-intercept)
you could either substitute (0,-4) or (1,2) into the equationn
y = 6x + b
-4 = 6(0) +b
-4 = 0+b
b = -4
or
y = 6x +b
2 = 6(1) + b
2= 6 +b
b= -4
Answer:
-4
Step-by-step explanation:
Y = mx+b is the slope intercept form of the equation
where m is the slope and b is the y intercept
The y intercept is where the line crosses the y axis
It is the value where x is zero
(0,-4) the x value is zero so the y intercept is -4
Please help image below with question
Answer:
1/3
Step-by-step explanation:
F = 36
G = 4
We know that The area is multiplied by the scale factor squared
F * (SF) ^2 = G
36 (SF) ^2 = 4
Divide each side by 36
36/36 (SF) ^2 = 4/36
(SF) ^2 = 1/9
Take the square root of each side
sqrt((SF)^2) = sqrt(1/9)
SF = 1/3
The scale factor is 1/3
PLEASE HELP I REALLY NEED IT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Last year, the school library had a total of x books. Over the summer, the library acquired another 37 books and now has a total of 1,950 books. Which equation could be used to find x, the number of books the library had last year?
A.
1,950 + x = 37
B.
x + 37 = 1,950
C.
x - 37 = 1,950
D.
37x = 1,950
Answer: the answer is B
Step-by-step explanation:
To avoid a storm, a pilot of a vintage biplane flies up 2,500 feet, but stays below 32,000 feet. Write and solve an inequality to find the maximum original altitude of the plane.
a + 2,500 > 32,000; a > 34,500
a + 2,500 < 32,000; a < 29,500
a + 2,500 < 32,000; a < 34,500
a + 2,500 > 32,000; a > 29,500
Answer:
a + 2,500 < 32,000; a < 29,500
Step-by-step explanation:
This shows the 2,500 can be adapted to become less than 29,500 in additional measure when flying.
As 2,500+ 29,500 = 32,000
The a+2,500<32,000 is also correct as this shows less than and confirms that the biplane stays below 32,000.
martin scores 40% of the points in a game if this represents 24 points how many points were scored in total
Answer:
60
Step-by-step explanation:
A plumber charges $130 2 hours of work and $235 for 5 hours of workWhat is the of change in dollars per hour
Answer:
235
Step-by-step explanation:
Figure the rates per hr.
110/3 = 36 2/3
160/5 = 32.
So, the rates are not the same.
Knowing a bit about plumbers, they normally charge a basic fee to just show up, and then they charge per hr.
In cases like these, where we're asked to project to a new data point (in this case an 8-hr job), you should immediately think of a graph. The x-axis would be the hours worked. The y-axis would be the charge for the work (the cost of the job).
We're given two pairs of values:
(3,110) and (5,160).
The next step is to fit a line to them.
y = mx+b is the general equation for a line.
m = the slope = rise/run = change in y / change in x
Call the change in y, dy (for delta y).
Call the change in x, dx (for delta x).
m = dy/dx = 50/2 = 25
The slope is thus 25, which means for each hour, the price goes up by $25. That means the plumber charges $25/hr.
We also know the plumber charges $110 for a 3-hr job. 3*25 = $75. So the base charge would be $110-75 = $35.
y = 25x + 35
Checking this formula at x=3, we know it is 110.
Checking it at x=5, we obtain:
y = 25*5 + 35 = 125 + 35 = 160.
That checks.
Now to figure an 8-hr job, set x=8 and use the equation"
y = 25*8 + 35.
y = 200 + 35.
y = 235.
That means an 8-hr job costs $235.
If a cone has the same radius and height as a cylinder, the volume of the cone is
the volume of the cylinder.
OA) equal to
B) one fourth
C) one half
D) one third
Answer:
The volume of the cone is one third to the volume of the cylinder.
Step-by-step explanation:
It is because the formula of volume of cone is 1/3 to the volume of cylinder .
Volme of cone :
[tex]v = \frac{1}{3} \pi {r}^{2} h[/tex]
Volume of cylinder :
[tex]v = \pi {r}^{2} h[/tex]
What is 52.738 rounded to the nearest whole number
Answer:
It would be 53
Step-by-step explanation:
because the tens place is over 5 so it rounds up
Please help! Not really good with coordinates.
Answer:
i really want to help but i think it might be D
Step-by-step explanation:
Answer:
(1 , 7)
Step-by-step explanation:
(1 , 7) (5 , 7)
(1 , 3) (5 , 3)
Which expression is equal to 20.92 ÷ 6.8?
A
209.2 ÷ 6.8
B
2.092 ÷ 68
C
2092 ÷ 68
D
209.2 ÷ 68
Answer:
D
Step-by-step explanation:
They both equal 3.08
The decimal is moved one to the right on both so the answer will be the same
Answer:
D. 209.2 ÷ 68
I hope this helps!
Which expression is equivalent to the following complex fraction?
X
3 2
-2y+5x
3x-2y
3x-2y
-2y+5x
x?y2
(-2y+5x) (3x-2y)
(-2y+5x) (3x-2y)
x?y?
Answer:
Step-by-step explanation:
Answer:
(-2y+5x) / (3x - 2y)
Step-by-step explanation:
If we write this sentence, we have:
((-2/x) + (5/y)) / ((3/y) - (2/x))
If we do LCM in the denominators of each fraction, we have:
((-2y+5x)/xy) / ((3x - 2y)/xy)
We can cut the 'xy' in the numerator and denominator of the whole fraction:
(-2y+5x) / (3x - 2y)
The final expression we have is (-2y+5x) / (3x - 2y)
solve using substitution.
2x-3y
x+y=9
just so you know, I know the answer its (3,6). I just need the explanation on how to get that answer using substitution.
Answer:
(3,6)
Step-by-step explanation:
2x-3y = -12
x+y=9. Solve for either y or x
-x. -x
y = -x + 9. Substitute this for the y
2x-3(-x+9)= -12
2x +3x-27 = -12. Add like terms
5x -27 = -12
+27. +27. Inverse operations
5x = 15
÷5. ÷5
x = 3
x + y = 9
3 + y = 9. Substitute 3 for x
-3. -3. Inverse operations
y = 6
Abbi invested $1,000 in a certificate of deposit with a simple interest rate of 3%. Find the interest earned in 6 years. Then find the total of principal plus interest.
Answer:
SI = prt / 100
SI = (1000 x 3 x 6)/100
SI = 180
Amount = 1000 + 180 = 1180
Theo drinks 5/8 quart of milk with lunch and 1/4 quart of milk with dinner.
Which answer is the most accurate estimate of how much more milk he drank with lunch than with dinner?
0 quarts
1/2 quart
1 quart
Answer:
is 1 quart
Step-by-step explanation:
Answer:
1/2 quart
Step-by-step explanation:
An artist can sell 20 copies of a painting at $100 each, but for each additional copy he makes, the value of each painting will go down by a dollar. Thus, if 22 copies are made, each will sell for $98. How many copies should he make to maximize his sales?
Answer:
40 more paintings in order to maximize sales making a total of 60 paintings
Step-by-step explanation:
Let x= no.of copies above 20
Total Sales(x) = (number of copies)(price per copy)
Sales (x)= (20 +x)(100 –x)
Open bracket
=1200-20x+100x-x^2
=1200+80x-x^2
Derivative of the sales
80-2x=0
80=2x
Divide both sides by 2
40=x
Because Sales(x)= –2, this is maximal by the second derivative test
The artist should make 40 more paintings in order to maximize sales making a total of 60 paintings.
The artist 60 copies should he make to maximize his sales
The artist can sell 20 copies at $100 each.
So, the total sales is:
Total =(20) * (100)
For each additional copy he makes, the value of each painting reduce by a dollar.
So, the total sales becomes
Total = (20 + x) * (100 - x)
Rewrite as:
[tex]y = (20 + x) * (100 - x)[/tex]
Expand
[tex]y = 2000 - 20x + 100x - x^2[/tex]
Evaluate the like terms
[tex]y = 2000 +80x - x^2[/tex]
Differentiate
[tex]y' = 80 - 2x[/tex]
Set to 0
[tex]80 - 2x = 0[/tex]
Collect like terms
[tex]- 2x = -80[/tex]
Divide both sides by -2
[tex]x = 40[/tex]
Recall that the initial copies is 20.
So, the new copies would be:
New = 20 + 40
New = 60
Hence, the artist 60 copies should he make to maximize his sales
Read more about maximum values at:
https://brainly.com/question/10782019
If FG=HI, then
A FG-HI
В FG = HI
C. FG = H
D. FG = HI
Please select the best answer from the choices provided
Answer:
the answer is D because a and b don't have a period to separate the choice of the answer
Help asap . thank youu
Answer:
yes
look at each one of the sides
the x row counts by 1
1 + 1 = 2, 2 + 1 = 3, 3 + 1 = 4
the y row counts by 2
3 + 2 = 5, 5 + 2 = 7, 7 + 2 = 9
( Hope this helps :D)
Isabella wants to put a fence around her pumpkin patch.
How much fencing does Isabella need?
20 feet
100 feet
24 feet
10 feet
rectangular pumpkin patch with length labeled 6 feet and width labeled 4 feet
Answer:
20 feet
Step-by-step explanation:
If a fence is covering something, you have to find the perimiter so you would do 6+4+6+4=20 feet
Anna drives 15,500 miles a year for work. On average, how many miles does she drive a week?
Answer:
206 miles
Step-by-step explanation:
People generally work 5x a week so.. (15000 / 52)
52 indicates the amount of weeks in a year.
In total, that is 288.4 miles a week. Now, we're assuming she doesn't work on the weekend so we divide 288.4 by 7. That is 41.2 miles a day. Now, you times 41.2 by 5 and your answer should be 206 miles a week.