Answer:
≈ 35.1 ft
Step-by-step explanation:
The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°
Using the cosine ratio, with l being the length of the ladder.
cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{12}{l}[/tex] ( multiply both sides by l )
l × cos70° = 12 ( divide both sides by cos70° )
l = [tex]\frac{12}{cos70}[/tex] ≈ 35.1 ( to the nearest tenth )
The ladder is approx 35.1 ft long
find the Hcf of 15 30 90
Answer:
15=3*5
30=5*6
90=5*3*5*2*3
So, HCF=15
Step-by-step explanation:
Hope it helps
Step-by-step explanation:
Hey there!
HCF stands for highest common factor. When you are asked about to find the HCF of any number find the factors and take common from all the factors of the numbers.
The given numbers are: 15,30,90.
15 = 3*5
30 = 2*3*5
90 = 2*3*3*5
Now, from the above solutions take all the common factors.
From the factors of all three numbers, 3*5 are common.
Therefore, the HCF of the numbers is 3*5 = 15.
Hope it helps!
Which of the sequences is an arithmetic sequence?
O A. 1, 8, 16, 24, 32, ...
B. -3, -10,-17, -24, -31, ...
C. 3, 6, 9, 15, 24,...
O D. 1,-2, 3, -4, 5, ...
Answer:
Answer B as the difference between the values is the same
I kinda need help
What is the fraction 1/4 in decimal form?
I need help with this one to
Solve 3^3
Answer: easy
Step-by-step explanation: 0.25 there
gregory wants to buy a new video game system priced at $179.00. if the sales tax is 6%, what is the total amount he will pay for the video game system
Answer:
$189.74
Step-by-step explanation:
Since the sales tax is 6%,
179x0.06=10.74
Add to the starting price, 179.00+10.74=189.74!
I hope this helped!
Simplify (5np3)3
Question shown as picture
Answer:
[tex]125 {n}^{3} {p}^{9} [/tex]
Which formula gives the coordinates of the midpoint of the segment connecting points (a, b) and (c, d)?
attached below is the options
this is worth 100 points
Step-by-step explanation:
the correct answer is
a. { ½(c-a), ½(d-b) }
________________
General formula
((x_1+x_2)/2,(y1+y2)/2)So
Here
for (a,b) and (c,d)
Midpoint
((a+c)/2,(b+d)/2)Option A
through: (4,4), slope
9/4
Answer:
y - 4 = (9/4)(x - 4)
Step-by-step explanation:
Here we're given the slope (9/4) of a line and one point (4, 4) on the line. The easiest form of the equation of a straight line to use here is the point-slope form:
y - k = m(x - h).
Here h = 4 and k = 4; the slope is m = 9/4.
Thus, the desired equation is
y - 4 = (9/4)(x - 4)
20% of 2kg ( in g).
Please help
Answer:
[tex]{ \tt{ = 20\% \times 2}} \\ = 0.4 \: kg \\ { \tt{ = 400 \: grams}}[/tex]
Answer:
400 g
Step-by-step explanation:
0.20 x 2 kg = 0.4 kg
0.4 kg x (1000g / 1kg) = 400 g
draw a graph for the equation above
Answer:
look at image given
Step-by-step explanation:
im assuming the -3 is seperate :p
An indoor track is made up of a rectangular region with two semi-circles at the ends. The distance
around the track is 400 meters. Determine the radius of the semicircular ends of the track in terms of y.
Answer:
r = (200 - y)/π
Step-by-step explanation:
The question details includes;
The shape of the indoor track = Two semi-circular ends and a mid rectangular region
The distance around the indoor track = 400 meters
The radius, r, of the semicircular ends in terms of y = Required
Let y represent the length of the rectangular middle area of the track, we have;
The perimeter of the indoor track = The distance around the track = 400 m
The perimeter of the indoor track = 2 × π·r + 2 × y = 400
2 × (π·r + y) = 400
∴ π·r + y = 400/2 = 200
r = (200 - y)/π
Which of the following is a geometric sequence?
O A. -2, 6, 14, 22, ...
O B. 6, 13, 19, 24, ...
O c. 11, 16, 21, 26, ...
O D. -3,3, -3, 3, ...
Answer:
O B. 6, 13, 19, 24,
Step-by-step explanation:
because this is the correct answer
Instructions: Match each step with the correct ordered description for how to construct a copy of line
The correct steps of how to construct a copy of line with the aid of a compass would be given below as follows
How to construct a line segment?To construct a line segment, the correct matching of the steps are given below as follows:
Step one: Start with line segment PQ that we will copy.
Step two: Set the compass point on the point P of the line segment to be copied.
Step three: Adjust the compass width to the point Q. The compass width is now equal to the length of the line segment PQ.
Step four:Mark a point R that will be one endpoint of the new line segment.
Step five : Without changing the compasses width, place the compasses point on the point R on the line you drew previously.
Step six: without changing the compasses width draw an arc roughly where the other endpoint will be.
Step seven pick a point S on the arc that will be the other endpoint of the new line segment.
Step eight: Draw a line from R to S.
Step nine: The line segment RS is equal in length (congruent to) the line segment PQ.
Learn more about line segments here:
https://brainly.com/question/24778489
#SPJ1
If k is a non-zero constant, determine the vertex of the function y = x2 - 2kx + 3 in terms of k.
Answer:
Set y = 0, evaluate the quadratic at h=−b2a and solve for k.
k=9 I think..... I'm not completely sure but I think that's how it is
Answer:
[tex]\displaystyle \text{Vertex} = \left(k, 3-k^2\right)[/tex]
Step-by-step explanation:
We are given the quadratic equation:
[tex]y=x^2-2kx+3[/tex]
Where k is a non-zero constant.
And we want to determine the vertex of the parabola in terms of k.
The vertex of a parabola is given by the formulas:
[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In this case, a = 1, b = -2k, and c = 3.
Find the x-coorinate of the vertex:
[tex]\displaystyle x=-\frac{(-2k)}{2(1)}=\frac{2k}{2}=k[/tex]
To find the y-coordinate, we substitute the value we acquired back into the equation. So:
[tex]\displaystyle \begin{aligned} y(k)&=(k)^2-2k(k)+3\\&=k^2-2k^2+3\\&=3-k^2\end{aligned}[/tex]
Therefore, our vertex in terms of k is:
[tex]\displaystyle \text{Vertex} = \left(k,3-k^2\right)[/tex]
Evaluate 13 - 0.75w+8x when w=12 and x= 1 over 2
Answer:
8
Step-by-step explanation:
Given:
13 - 0.75w + 8x
where,
w = 12
x = 1/2
13 - 0.75w + 8x
Substitute the value of w and x into the equation
= 13 - 0.75(12) + 8(1/2)
= 13 - 9 + 8/2
= 13 - 9 + 4
= 8
Therefore,
13 - 0.75w + 8x = 8
Triangle ABC is similar to triangle DEF. Find the measure of side EF. Round your
answer to the nearest tenth.
B
50
F
D
41
HELP PLEASEEEE
Answer:
83.5units
Step-by-step explanation:
Find the diagram attached
Since both triangles are similar, then;
AB/DB = BC/EF
11/54 = 17/EF
Cross multiply
11EF = 17 * 54
11EF = 918
EF = 918/11
EF = 83.5
Hence the length of EF to the nearest tenth is 83.5units
convert 25meter square into centimeter square
Answer:
250,000 cm squared
Step-by-step explanation:
Anyone know the answer?
Answer:
565.6854249 without rounds
Answer:
Step-by-step explanation:
Well, the area is 400m^2 so we know each side is 20 feet long. Then with that we can make a 40deg 40deg 90deg triangle with the side lengths 20, 20, and x. So, the proportion would be 20/1=x/rad2. This gives us x=28.28, so the fence is 28.28m long. Hope this helps :))
BRAINLIEST TO WHOEVER IS CORRECT!!!
Write an equation that represents the line.
Use exact numbers.
Answer:
y=[tex]-\frac{4}{3}[/tex]x+2
Step-by-step explanation:
To write the equation for this line, we are going to use slope-intercept form, which is written as
y=mx+b.
Here are the meanings of each variable:
y= basically the "name" of the function and it always stays as y.
m= slope, which is rise over run.
x= variable that is always on the right of the slope and it always stays as x.
b= y-intercept, or the value that crosses the y-axis.
We will substitute numbers into the equation along the way. The first thing we will want to do is find b, which is the easiest.
The line crosses the y-axis at 2, so that is our value of b.
Our new equation is
y=mx+2.
Next, we will find the slope. The most efficient way of doing this is looking at the lowest point that is already provided, (3, -2), and finding a way to rise and run to the highest point, (0, 2).
If you look closely at the graph, we need to rise up 4 and run over -3 to get to the other point. Therefore, the slope is [tex]-\frac{4}{3}[/tex], and we can substitute it into our equation, which is completed and is now
y=[tex]-\frac{4}{3}[/tex]x+2
I hope this helps you out!! Have an awesome day ^^
Rishaun ran a prize booth at a professional basketball game. He helped guests spin a spinner and then handed them the prizes the spinner landed on. After 400 guests spun the wheel he had collected the following data.
Which of the following is most likely to happen if another 200 guests spin the spinner?
ticket to future game
Step-by-step explanation:
it is because guest won a lot of notepad and mini baseketball so there is chances where ticket to future game still available a lot .
please answer this 2 question
Answer:
Step-by-step explanation:
AP 1 : 12, 15 , 18 , 21, 24, 27, 30 , 33 , 36, 39,.....
AP 2 : 17 , 21 , 25 , 29, 33, 37 , 41, 45,.....
AP formed with the common terms: 21, 33, 45 , ......
a = 21 , d = 33-21 = 12 ; n = 100
Sum = [tex]\frac{n}{2}(2a +(n-1)d)[/tex]
[tex]=\frac{100}{2}[2*21+99*12]\\\\=50 * [42+1188]\\\\=50*1230\\\\= 61500[/tex]
harlie is a hotel manager. Their responsibilities include renting rooms for conferences. The hotel charges $250 per day plus $15 per person for the grand ballroom.
Create a formula for the cost, C, in dollars, to rent the ballroom for any number of people for 1 day.
Hint: Use C for cost and n for the number of people. C = ________
How much should Charlie charge to rent the hall for 50 people? What about 100 people?
Rearrange your formula to express n in terms of C (rewrite your formula to solve for n)
How many people could attend a wedding reception if the planners have a budget of:
$4000
$2000
Answer:
Formula: C= $15n + $250
50 People: $1000
100 People: $1750
Formula: n= (C- $250)/ 15
$4000 Budget: 250 Guests
$2000 Budget: 116.67 Guests
Step-by-step explanation:
Since the rental is $250 with an additional charge of $15 per person, we write this as C = $250 + $15n.
With the given equation, simply substitute n for the amount of guests.
C = $250 + $15(50) = $1000
C = $250 + $15(100) = $1750
To solve for n, everything would need to be moved to isolate n. This can be achieved by first subtracting $250 from each side: C- 250= 15n
Then divide both sides by 15, making the new equation: (C-250)/15 = n
Again, substitute C with allowed cost to find the amount of guests allowed.
n = ($4000- 250)/ 15 = 250 People
n = ($2000-250)/15 = 116.67 People
What is the slope of the line with equation y−3=(x−2)?
A coordinate plane with a line passing through the points at (2, 3) and (4, 2).
–2
–negative StartFraction one-half EndFraction.
StartFraction one-half EndFraction
2
Answer:
B on edge 2021
Step-by-step explanation:
25 points ! :)
Can anyone solve this ? with explanation?
[tex]A brick of weight 20N and dimensions 20 cm x1Ocm x Scm is placed once on its largest surface area and then on its smallest surface area on the ground. Find out the ratio of the pressure exerted by the brick.}}[/tex]
Answer:
1 : 4
Step-by-step explanation:
[tex]Pressure = \frac{F}{A}[/tex]
[tex]P_1 = Pressure \ on \ the \ largest \ surface \ area[/tex]
[tex]=\frac{F}{20 \times 10 \times 20}[/tex]
[tex]P_2 = Pressure \ on \ small \ surface \ area[/tex]
[tex]=\frac{F}{20 \times 10 \times 5}[/tex]
[tex]\frac{P_1 }{P_2 }= \frac{20 \times 10 \times 5}{20 \times 10 \times 20} = \frac{5}{20} = \frac{1}{4}[/tex] [tex][ \ \ \frac{F}{20 \times 10 \times 20}\ \div\ \frac{F}{20 \times 10 \times 5} => \frac{F}{20 \times 10 \times 20} \times \frac{20 \times 10 \times 5}{F} \ ][/tex]
Therefore ,
[tex]P_1 : P_2 = 1 : 4[/tex]
The dimensions of the brick are :
20 cm10 cm5 cmSolution :[tex]\large\boxed{\boxed{\mathrm{pressure = \frac{Force}{Area}}}}[/tex]
The largest surface area would be : -
[tex]➢ \: \: 20 \times 10[/tex]
[tex]➢ \: \: 200 \: \: cm {}^{2} [/tex]
[tex]➢ \: \: 0.02\: \: m {}^{2} [/tex]
(product of two greater sides)
pressure applied by greatest surface area of brick :
[tex]➢ \: \: \dfrac{20}{0.02} [/tex]
[tex]➢ \: \: \dfrac{20}{2} \times 100[/tex]
[tex]➢ \: \: 1000 \: \: pascals[/tex]
The smallest surface area would be : -
[tex]➢ \: \: 10 \times 5[/tex]
[tex]➢ \: \: 50 \: \: cm {}^{2} [/tex]
[tex]➢ \: \: 0.005 \: \: m {}^{2} [/tex]
(product of two Smaller sides)
pressure applied by smallest surface area of brick :
[tex]➢ \: \: \dfrac{20}{0.005} [/tex]
[tex]➢ \: \: \dfrac{20}{5} \times 1000[/tex]
[tex]➢ \: \: 4000 \: \: pascals[/tex]
Let's find the ratio :
[tex]➢ \: \: \dfrac{1000}{4000} [/tex]
[tex]➢ \: \: \dfrac{1}{4} [/tex]
[tex]➢ \: \: 1 : 4[/tex]
[tex]\mathrm{✌TeeNForeveR✌}[/tex]
A ramp 16 ft long rises to a platform that is 12 ft off the ground. Find x, the angle of elevation of the ramp. Round your answer to the nearest tenth of a degree.
PLZ HELP ASAP !!!!!!
Can You Help Me Out Please
Answer:
x = -3
Step-by-step explanation:
3^x = 1/27
Rewriting
1/27 as 1/3^3 = 3^-3
3^x = 3^-3
Since the bases are the same, the exponents are the same
x = -3
Answer:
Step-by-step explanation:
4/81x
Write an equation in
slope-intercept form that
passes through (-6, -2)
and has a y-intercept
located at y= -5
Answer:
y = -1/2 x -5
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y intercept
We know b
y = mx-5
Substitute the values of x and y into the equation to determine the slope
-2 = m(-6) -5
Add 5 to each side
-2+5 =-6m
3 = -6m
Divide by -6
3/-6 = m
The slope is -1/2
y = -1/2 x -5
write the time on the digital watch in words 21:02
It is two minutes past nine
need help please! i’m stuck
Answer:
Step-by-step explanation:
stuck under the bed??
lemme jus quickly pull you back....lol
The theater club is charging $20 for 3 tickets. What is the rate of change in this situation?
Answer:
20/3
Step-by-step explanation:
The Other guy is wrong, this is the correct answer from Plato
The rate of change in a direct variation relationship is the same as the constant of proportionality. The rate of change is the change in the dependent value, y, over the change in the independent value, x.
In this case, the number of tickets sold is the independent variable and the amount of money raised from ticket sales is the dependent variable. The ratio of money raised per ticket sold is the constant of proportionality.
Since 3 tickets are sold for $20, the rate of change, or slope, is 20/3
Answer:
20/3 I mean imI'm doing it rn and..... the plug
Step-by-step explanation:
The graph below shows the solution to which system of inequalities?
Answer:
A
Step-by-step explanation:
