Answer: 41 feet
Step-by-step explanation: The ladder, the building and the sidewalk creates a right triangle, with the 90° formed at the junction of sidewalk and building, so the length of the ladder is the triangle's hypotenuse.
To determine hypotenuse, use Pythagorean's theorem:
[tex]h^{2}=s^{2}_{1}+s^{2}_{2}[/tex]
[tex]h=\sqrt{40^{2}+9^{2}}[/tex]
[tex]h=\sqrt{1681}[/tex]
h = 41
For the ladder to reach the top of the building, it has to be 41 feet tall.
A cylinder is 12 feet high and has a diameter of 10 feet. in cubic feet, what is the approximate volume of the cylinder
Answer:
300π or 942.477796077 cubic feet
Step-by-step explanation:
25π*12=300π
The approximate volume of the given cylinder is 942.48 ft³.
What is the volume of the cylinder?The volume of the cylinder is the density which signifies the amount of substance it can hold.
Mathematically,
V = πr²h
where, r is the radius of the cylinder
and h is the height of the cylinder.
It is given that,
Height h of the cylinder = 12 ft
Diameter d of the cylinder = 10 ft
⇒ Radius r = d/2
⇒ r = 10/2
⇒ r = 5 ft
Now, Volume of the cylinder V = πr²h
Putting the values of r and h of given cylinder. We get,
⇒ V = 3.14 × (5 ft)² × 12ft
⇒ V = 3.14 × 25 ft² × 12 ft
⇒ V = 3.14 × 300 ft³
⇒ V ≈ 942.48 ft³
The approximate volume of the given cylinder is 942.48 ft³.
More about volume of cylinder :
https://brainly.com/question/49664655
#SPJ2
SOMEONE PLEASE HELP ME. PLEASE!
Answer:
30
Step-by-step explanation:
It is a 30 60 90 triangle if you ever heard of it. Look at it and it will make more sense.
The number of children playing on a playground was recorded over several days. The data was displayed in both a histogram and stem-and-leaf plot.
What information does the stem-and-leaf plot contain that the histogram does not?
A) how old the children on the playground are
B) categorized frequencies of the number of children
C) the exact number of children on the playground each day
Answer:
It is the one you have selected. "The exact number of children on the playground each day."
Step-by-step explanation:
The stem and leaf plot shows each amount of children specifically. The histogram has the ages in groups. The stem and leaf plot is more specific and shows the inside information while the histogram only shows the number of children and frequency put in groups. I also took the quiz and got this right.
Hope this helps! Make sure to give me brainiest if somebody else answers.
Answer:
The answer is C
Step-by-step explanation:
I did quiz
Is the relationship between time and distance an arithmetic sequence?
Explain.
h(x)=4-2x find h (-3)
Answer:
10
Step-by-step explanation:
h(x) = 4 - 2x
h(-3) = 4 - 2*(-3)
= 4 + 6
= 10
Ben starts walking along a path at 3 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 5 mi/h. How long (in hours) will it be before Amanda catches up to Ben?
Answer:
2 hours 15 minutes
Step-by-step explanation:
Given that :
Ben's speed = 3 mi/hr
One and half hours after Ben leaves = 1.5 hours
Ben's distance = 3 mi/hr * 1.5 = 4.5 miles
Amanda's speed = 5 mi/hr
Time taken before Amanda catches up:
Let time taken = x
Distance = speed * time
Ben's distance = Amanda's distance
4.5 mi + (3 * x) = 5 * x
4.5 + 3x = 5x
4.5 = 5x - 3x
4.5 = 2x
x = 4.5 / 2
x = 2.25 hours
Time taken = 2.25 * 60 = 135 minutes = 2 hours 15 minutes
It would take Amanda 2.25 hours to catch up with Ben
Speed is the ratio of distance to time. It is given by:
Speed = distance/time
Given that Ben covers a distance d at time t, hence:
3 = d/t
d = 3t
Since Amanda leaves One and a half hours (1.5) after Ben leaves, hence Time = t - 1.5
5 = d/(t - 1.5)
d = 5t - 7.5
Since they catch up, hence:
3t = 5t - 7.5
2t = 7.5
t = 3.75 hours
Time for Amanda = t - 1.5 = 3.75 - 1.5 = 2.25 hours
Hence it would take Amanda 2.25 hours to catch up with Ben.
Find out more at: https://brainly.com/question/22610586
Enter a fraction that is equivalent to
1/9
with a numerator of 2.
Answer:
2/18
Step-by-step explanation:
Answer:
2/18
Step-by-step explanation:
2/1=2
2*9=18
2/18
Hope this helps. Have a nice day you amazing bean child.
Use your understanding of transformations and key features to write the slope-intercept equation of this linear function.
Enter the correct answer in the box by replacing the values of m and b.
Answer:
f(x)=-2x+5
Step-by-step explanation:
The line shown in the graph is always decreasing at a constant rate, has a slope of -2, and has a y-intercept of 5.
So the parent function has been reflected across the x-axis (multiplied by -1), vertically stretched by a factor of 2 (multiplied by 2), and vertically translated up 5 units (5 added to it).
Therefore, the slope-intercept equation that represents this linear function is f(x)=-2x+5.
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is y=-2x+5.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The given line passes through two points with coordinates (0,5) and (1,3). Therefore, the slope and the y-intercept of the given equation of a line can be written as,
Slope, m = (5 - 3)/(0 - 1) = 2/-1 = -2
y-intercept, c = 5
Now, the equation of the line can be written as,
y = mx + c
y = -2x + 5
Hence, the equation of the given line is y=-2x+5.
Learn more about Equation of Line here:
https://brainly.com/question/21511618
#SPJ2
please help, i don’t understand this at all.
Write the standard form of the line that contains a slope of -3/2 and y-intercept of 6. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
PLEASE ANSWER ASASP! Ill GIVE BRAINLEST!!!!!!!!!!
that isnt the actual answer i just put it there
Answer:
I'm 80% sure its greater than, because $10 per week for 30 weeks Is 300 I think
Determine which of the lines, if any, are parallel. Explain.
Line a: 4y +x=8
Line b: 2y + x = 4
Line c: 2y = -3x + 6
; The slopes are
Answer:
Parallel lines have same slope but different y-intercept
None of the given equations have same slope. Therefore lines are not parallel.
Step-by-step explanation:
Slope of Line a: 4y +x=8 is -1/4
Slope of Line b: 2y + x = 4 is -1/2
Slope of Line c: 2y = -3x + 6 is -3/2
Since the slope of the parallel lines is equal and the slope of the given lines is not equal the lines are not parallel.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that, the lines are.
Line a: 4y +x=8
Line b: 2y + x = 4
Line c: 2y = -3x + 6
Line a,
4y +x=8
4y= -x+8
y=-1/4x+2
Compare the given equation with the standard equation, y=mx+c in order to find the value of slope(m).
The slope of line a is -1/4.
Line b:
2y + x = 4
2y=-x+4
y= -1/2x+2
The slope of line b is -1/2.
Line c:
2y = -3x + 6
y= -3/2x+3
The slope of line c is -3/2
The slopes of the line 4y +x=8, 2y + x = 4 and 2y = -3x + 6 will be -1/4, -1/2 and -3/2 respectively.
Thus, if the slope of the parallel lines is equal and the slope of the given lines is not equal the lines are not parallel.
Learn more about the slope here:
brainly.com/question/3605446
#SPJ2
Pleaseee for the love of god help
Answer:
The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.
$8.49×6=□
$509.40
$50.94
$50.93
$5.09
Answer:
hahahaha sorry its 50.94
Step-by-step explanation:
WILL GIVE BRAINLIEST TO QUICKEST ANSWER Which expressions are equivalent to
513x+7)=3(x-4)? Select three options
Answer:
14,364
Step-by-step explanation:
513x7=3591x4=14,364
which is the best way to describe l-2l ?
Answer:
opposite of 2
Step-by-step explanation:
Answer:
The answer is the Opposite of 2
Step-by-step explanation:
Hope this helps!
Which statement about 2(x+4) is true. Possible answers: :2(x+4) is a quotient :2(x+4)is a product of three factors :2(x+4)has 4 terms. :2(x+4) is a product.
Answer:
three factors
Step-by-step explanation:
What is the length of one leg of the triangle?
O 9 cm
O 92 cm
O 18 cm
1872 cm
Answer:
9 [tex]\sqrt{2}[/tex]
Step-by-step explanation:
To find the answer of this equation, you would use the law of sine
so... (18)/sin(90)= (x)/sin(45)
to find for the length of one side simply isolate for x.
Because sin(90) equals 1, you just have to multiply 18 by sin(45) which equals [tex]\sqrt{2}[/tex]/2
so x= 9[tex]\sqrt{2}[/tex]
Student tickets cost $6.25 each at a local movie theater. Which proportion could be used to find the number of student tickets, t, that could be purchased with a $25 gift card? need help now pls
Answer:a
Step-by-step explanation:all the other ones are not smart
if u think about it
U can’t dived t and I so just do the one that doesn’t do that
? Solve for X
3x + 6 = 21
Answer:
x=5
Step-by-step explanation:
21-6=15
3x=15
15÷3=5
Answer:x=5
Step-by-step explanation:
PLZ answer this for me its urgent PLZ needed Now!
Answer:
1 or 2 i think 2
Step-by-step explanation:
What is the value of y?
A. 50°
B. 30°
C. 60°
D. 400°
Answer: D. 40 degrees (I'm assuming you meant 40 not 400)
Step-by-step explanation:
There are 180 degrees in a triangle so we list the angles in an equation:
180 = 50 + 2y + y + 10
Subtract 60 from each side of the equation:
120 = 3y
Divide 3 from each side of the equation:
40 = y
what is 6a+6=-18
a=___
Answer:
a=-4
Step-by-step explanation:
6a+6=-18
-6 -6
6a=-24
___ ___
6 6
a=-4
Answer: a=-4
Step-by-step explanation:
Subtract
from both sides of the equation
6+6=−18
6+6−6=−18−6
Simplify
Subtract the numbers
Subtract the numbers
6=−24
Divide both sides of the equation by the same term
6=−24
66=−246
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=−4
What is the solution to the equation 3X + 27 = -2x + 18
Answer:
-9/5 or -1.8
Step-by-step explanation:
3x+27=-2x+18 add 2x to both side
5x+27=18 minus 27 from both side
5x=-9 divide 5
x=-9/5, in decimal form=-1.8
Answer:-9/5
Step-by-step explanation:
3x + 27 = -2x + 18
-27 -27
-3x = -2x - 9
+2x +2x
5x = -9
5x/5 = -9/5
x= -9/5
Help me with number 7 (geometry) hint= x is 18 1/3 (show work)
Answer:
2x-15+10x-25=180
2x-10x=180+15+25
-5x=220
=44
ı hope its true
Step-by-step explanation:
During four trips to the arcade, Julie has collected ticket amounts of 15, 60, 78, and 94.
What is the fewest number of tickets she can collect during her final visit to have an average of 70 tickets per visit?
Answers:
During four trips to the arcade, Julie has collected ticket amounts of 15, 60, 78, and 94.
the screen shot contains the answer!
What is the fewest number of tickets she can collect during her final visit to have an average of 70 tickets per visit?
103
hope this helps :)
The candy maker discovered for every 10 pieces of wrapped candy, 4 were not wrapped. How many pieces of candy were not wrapped if there was 3,640 pieces of candy?
Answer:
1,456
Step-by-step explanation:
x% * 10= 4 x = 40%
40% * 3,640 = 40/100 * 3,640 = 4*364 = 1,456
Tisha babysat for 5 hours and earned $32.50. At the same rate, how much would she earn in 8 hours?
$52.00
$14.50
$40.50
$48.50
Answer: The answer is $48.50
Answer: The answer is $52.00.
Step-by-step explanation:
Step 1: Find the Unit Rate
$32.50 divided by 5 = $6.50
Step 2: Find the Price for Babysitting for 8 Hours
$6.50 x 8 (hours) = $52.00
I hope this helps!
A loan of $7,000 was approved for 36 weeks. Total amount (principal and interest) was paid as S 7388 charged with an 8% annual rate of interest. What is the value of t time in years?
Answer:
.7
Step-by-step explanation:
I'm going to assume that there will just be one final payment at the end. I am also going to discard the fact that the loan was approved for 36 weeks becuase I don't know what to do with that information
I will be using the following formula
[tex]FV=PV(1+i)^n[/tex]
Plugging in the numbers we get
7388=7000(1+.08)^n
We we divide by 7,000 and simplify what we can to get
1.0554=1.08^n
We then write the following log
log(1.0554)/log(1.08)=n
Compute this and get n= .7
Jonathan put ice cream in the freezer, and the ice cream remained frozen.
Which of the following best describes this situation?
Based on the data, this is an example of correlation and causation.
Based on the data, this is an example of correlation.
Based on the data, this is an example of causation.
Based on the data, this is not an example of causation or correlation.
Answer:
C- Based on the data, this is an example of causation
Step-by-step explanation:
This is because by him putting the ice cream into a freezing area, the ice cream remained frozen. Imagine if he put in in a warm area, it would melt. Hope this helps!
The option best describes this situation is C; Based on this data, this is an example of causation.
What is correlation?Correlation of two pairs of data values tells about the degree of movement that can occur in one of the data values when other data value is increased or decreased respectively.
Also, Causation refers to causing something. When one variable influences another variable.
The ice cream remained frozen caused by the fact that it was put in the freezer by Jonathan.
We can also say that, ice cream remained frozen is the result of the occurrence of the event that it was put in the freezer.
So, The option best describes this situation is C; Based on this data, this is an example of causation.
Learn more about causation here;
https://brainly.com/question/14063719
#SPJ2
Trapezoid ABCD is shown on the coordinate grid. Trapezoid ABCD is dilated with the origin as the center of dilation using the rule (x, y)→(0.4x, 0.4y) to create trapezoid A'B'C'D'. Which statement is true?
Trapezoid A'B'C'D' is larger than trapezoid ABCD because the scale factor is greater than 1.
Trapezoid A'B'C'D' is larger than trapezoid ABCD because the scale factor is less than 1.
Trapezoid A'B'C'D' is smaller than trapezoid ABCD because the scale factor is less than 1.
Trapezoid A'B'C'D' is smaller than trapezoid ABCD because the scale factor is greater than 1.
Answer:
Trapezoid A'B'C'D' is smaller than trapezoid ABCD because the scale factor is less than 1.
Step-by-step explanation:
Trapezoid A'B'C'D' is smaller than trapezoid ABCD because the scale factor is less than 1.
We have given that,Trapezoid ABCD is shown on the coordinate grid. Trapezoid ABCD is dilated with the origin as the center of dilation using the rule (x, y)→(0.4x, 0.4y) to create trapezoid A'B'C'D'.
We have to find the correct statement.
What is the meaning of the scale factor?If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink). If the scale factor is 1, the figure and the image are congruent.
Therefore from the given we can conclude that the statement,
If the scale factor is between 0 and 1, the image is a reduction
Therefore,Trapezoid A'B'C'D' is smaller than trapezoid ABCD because the scale factor is less than 1 is correct.
To learn more about the scale factor visit:
https://brainly.com/question/25722260