Answer:
w
Step-by-step explanation:
a
But his teacher that he needed to measure the height of a building in which his classroom is located he backs away from the building and places a mirror on the ground between him and the wall when he can see the top of the building in the mirror Peter is 2‘9“ away from the mirror and the mirror is 11 feet away from the wall of the building Peter knew his eye level was exactly 5‘6“ off the ground so he was able to calculate the height of the building how tall is the building in feet
Answer:
IT'S 22 JUST FOUND OUTStep-by-step explanation:
In your sock drawer you have 4 blue socks, 5 grey socks, and 3 black socks. Half asleep one morning, you grab 2 socks at random and put them on. Find the probability that you end up wearing exactly 1 black sock.
3 out of 12
1 out of 4
yea hopefully correct
16-2<5
solveeeeee itttttt
[tex]b-2<5\\b<5+2\\b<7[/tex]
Therefore, the answer is b < 7.
how do you find the perpendicular distance between a line segment and a point? (photo attached) i’m stuck
Answer:
Exact Distance = [tex]\frac{4\sqrt{10}}{5}[/tex]
Approximate Distance = 2.529822
============================================
Explanation:
This process is quite involved if you don't know the shortcut formula. I'll go over the long method first, and then show the shortcut in the next section.
First we'll need the equation of the line through points O and M. Use of the slope formula will show line OM has slope -1/3, which you are correct in stating.
Then use point slope form to determine the equation of line OM is y = (-1/3)x+11/3. This converts to the standard form x+3y = 11.
For anything in the form Ax+By = C, the equation perpendicular to this is of the form Bx-Ay = D. The A,B coefficients swap, and one item is negated. This helps form the negative reciprocal slope needed for the perpendicular line.
Compare x+3y = 11 to Ax+By = C. We see that A = 1 and B = 3.
So Bx-Ay = D turns into 3x-y = D. Then plug in the coordinates of H(-3,2) and compute to get
3x-y = 3(-3)-2 = -9-2 = -11. So D = -11
The equation 3x-y = D turns into 3x-y = -11 which is the equation of the line through point H and this line is perpendicular to line OM.
At this point, we have this system of equations
x+3y = 11
3x-y = -11
Solve that system however you wish. Substitution may be the best choice. Doing so leads to the intersection point (-2.2, 4.4)
The last step is to apply the distance formula between the points H(-3,2) and the intersection point (-2.2, 4.4)
The distance you should get is [tex]\frac{4\sqrt{10}}{5} \approx 2.529822[/tex]
I'm skipping steps because listing everything out would take up way too much space in my opinion.
--------------------------------------------------------
The first section goes over a fairly lengthy process of finding the perpendicular distance. Luckily, there's a shortcut.
Consider an equation of the form Ax+By=C, aka standard form. Now consider a point P located at (m,n) that is not on the line Ax+By = C. We can find the distance from P to the line using this formula below
[tex]d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}[/tex]
In this case, A = 1, B = 3 and C = 11 found back in the previous section. So you'll still need to calculate the equation of line OM.
Also, we'll use (m,n) = (-3,2) which are the coordinates of point H
From here it's a fairly straightforward computation
[tex]d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}\\\\d = \frac{|1*(-3)+3*2-11|}{\sqrt{(1)^2+(3)^2}}\\\\d = \frac{|-8|}{\sqrt{1+9}}\\\\d = \frac{8}{\sqrt{10}}\\\\[/tex]
Optionally we can rationalize the denominator like so
[tex]d = \frac{8}{\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10}\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10*10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{100}}\\\\d = \frac{8\sqrt{10}}{10}\\\\d = \frac{2*4\sqrt{10}}{2*5}\\\\d = \frac{4\sqrt{10}}{5}\\\\d \approx 2.529822\\\\[/tex]
There are different ways to write down the answer, but they all represent the same number.
Emilio has 2 quarters, 4 dimes, 3 nickels and 5 pennies. How much money does Emilio have in all?
Answer:
$1.10
Step-by-step explanation:
What we know:
Emilio has 2 quarters, 4 dimes, 3 nickels, and 5 pennies.
Quarters = 0.25 * 2
Dimes = 0.1 * 4
Nickels = 0.05 * 3
Pennies = 0.01 * 5
$0.50 + $0.40 + $0.15 + $0.05
$0.90 + $0.20 = $1.10 in total
the graph shows the number of calories Natalia burned while running.
What is the slope of the line ?
What does the slope tell you ?
Answer:
slope is y=10x.
Slope shows that she is consistently burning 10 calories per minute
Step-by-step explanation:
What is the value of x in the equation below?
29.46=13.82+4x
Answer:
x=3.91
Step-by-step explanation:
29.46=13.82+4x
13.82+4x=29.46
subtract 13.82 from both sides
4x=15.64
divide by 4
x=3.91
Sue wakes up at 7:45 A.M. and jogs for 40 minutes. She then spends 45 minutes dressing for school before she catches the bus. At what time does Sue get on the bus?
Answer:
9:00
Step-by-step explanation:
a) An agent sold some carpets at the rate of Rs 4500 each and received Rs 9000 as commission
at 10%. Find the number of carpets he sold.
Answer:
A
Step-by-step explanation:
not sure gusto ko lang tumulong
Helpppppppppppppppp ill mark you brainlist write in y=mx+b form
Answer:
y=3x+2
Step-by-step explanation:
Answer:
y=3x+2
Step-by-step explanation:
facts: slope is m, and b is y-intercept
y=3x+2
hope this helps!
Write 24 as a product of primes.
Use index notation when giving your answer.
Answer:
2^3 * 3
Step-by-step explanation:
Here are the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23
To find the prime factorization of a number, start by dividing the number by the smallest prime number it is divisible by. Keep dividing by that prime number until you can't anymore. You only divide by prime numbers that divide evenly. Then move on to the next prime number that divides evenly, and do the same. You eventually will get to 1. Then you put together all the prime factors.
This is much easier to do than it sounds like in this explanation.
Start with 24.
24/2 = 12
12/2 = 6
6/2 = 3 3 is not divisible by 2, so we move on to 3.
3/3 = 1 We got to 1, so we are done.
The prime factorization is the product of all the prime numbers we divided by which are in bold.
24 = 2 * 2 * 2 * 3
Now we index it:
24 = 2^3 * 3
may you plz help this is due today plz i will mark you brainlist
Answer:
1 whole numbers: 15 134 -18 rational numbers:-1/3 2.4: 2 0.09, 1/9 9/10 91%: 10.5 5/4 1 1/5 100%
Step-by-step explanation:
1, 6, 36, 216, ...
Find the 10th term in the sequence using the explicit formula.
Here's a graph of a linear function.
Write the
equation that describes that function.
Express it in slope-intercept form.
Answer:
y = 1/2x + 3Step-by-step explanation:
As per graph, using the points (-6, 0) and (0, 3) we determine that:
the y-intercept is 3 and the slope is m = (3-0)/(0 - (-6)) = /3/6 = 1/2So the equation is:
y = mx + by = 1/2x + 3What’s point B’
What’s point C’
After being dilated by a scale factor 1.5?
Given:
The given figure is dilated by a scale factor 1.5.
To find:
The coordinates of B' and C'.
Solution:
If a figure is dilated by a scale factor k at point (a,b), so the rule of transformation is
[tex](x,y)\to (k(x-a)+a,k(x-b)+b)[/tex]
From the given figure it is clear that A(3,-3), B(-2,2) and C(-3,-5).
The figure is dilated by a scale factor 1.5 at point A(3,-3), so the rule of transformation is
[tex](x,y)\to (1.5(x-3)+3,1.5(x-(-3))+(-3))[/tex]
[tex](x,y)\to (1.5(x-3)+3,1.5(x+3)+(-3))[/tex]
[tex](x,y)\to (1.5(x)-4.5+3,1.5(x)+4.5-3)[/tex]
[tex](x,y)\to (1.5x-1.5,1.5x+1.5)[/tex]
Using this rule, we get
[tex]B(-2,2)\to B'(1.5(-2)-1.5,1.5(2)+1.5)[/tex]
[tex]B(-2,2)\to B'(-3-1.5,3+1.5)[/tex]
[tex]B(-2,2)\to B'(-4.5,4.5)[/tex]
And
[tex]C(-3,-5)\to C'(1.5(-3)-1.5,1.5(-5)+1.5)[/tex]
[tex]C(-2,2)\to C'(-4.5-1.5,-7.5+1.5)[/tex]
[tex]C(-2,2)\to C'(-6,-6)[/tex]
Therefore, the coordinates of B' and C' are B(-4.5,4.5) and C'(-6,-6).
If the sales tax rate is 5%, how much tax will you pay on a $35 sweatshirt? * 5 points
$36.75
$1.75
$35.75
$2.25
Answer:
$36.75
Step-by-step explanation:
You do 5% of 35 which equals 1.75 that’s your sales tax.
then add 1.75+35.00= 36.75
Diana worked on her science project for 513 hours. Gabe worked on his science project 114 times as long as Diana. Paula worked on her science project 34 as long as Diana. How long did Gabe and Paula work on their projects?
Answer:
Gabe worked for 6 2/3 hours and Paula worked for 4 hours.
Step-by-step explanation:
It is given that,
Diana worked on her science project for 5 1/3 hours.
Gabe worked on his science project 1 1/4 times as long as Diana.
Paula worked on her science project 3/4 as long as Diana.
Solution,
ATQ,
Gabe worked for :
[tex]5\dfrac{1}{3}\times 1\dfrac{1}{4}\\\\=\dfrac{16}{3}\times \dfrac{5}{4}\\\\=\dfrac{20}{3}\ h\\\\=6\dfrac{2}{3}\ h[/tex]
Pauls worked for :
[tex]\dfrac{3}{4}\times 5\dfrac{1}{3}\\\\=\dfrac{3}{4}\times \dfrac{16}{3}\\\\=4\ h[/tex]
Hence, Gabe worked for 6 2/3 hours and Paula worked for 4 hours.
can someone help me please?
The base of tyler's cabin is a 56 feet by 78 feet rectangle. What is the area of the base of tyler's cabin?
Strategy:
why did you choose this strategy:
======================================================
Explanation:
Check out the diagram below
I drew a rectangle with dimensions 56 ft by 78 ft.
Then I broke up the 56 into 50+6, and I broke up the 78 into 70+8
The reason for this is because it's fairly easy to multiply the areas of each smaller rectangle at this point
In the upper left corner, we have an area of 50*70 = 3500. Note how this is basically 5*7 = 35, but we tack on the two zeros (from 50 and 70 combined)In the upper right corner, we have an area of 70*6 = 420In the lower left corner, we have an area of 50*8 = 400In the lower right corner, we have an area of 6*8 = 48Add up all the areas found: 3500+420+400+48 = 4368
As a way to check, using your calculator shows that 56*78 = 4368
drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than
wice the number of songs that the drummer wrote. They wrote a total of 46 songs.
Vhich system of equations models this situation if the drummer wrote d songs and the
guitarist wrote g songs?
Answer:
g = 2d - 8
g + d = 46
Find the value of x.
Answer:
x=102
Step-by-step explanation:
Can someone pls answer these if someone gives me a step by step answer gets brainliest and 100pts
Quadrilateral ABCD has been dilated by a scale factor of -5/3, Quadrilateral A'B'C'D' is an enlargement of the pre-image.
Question 17 options:
True
False
Question 18 (5 points)
Quadrilateral MNPQ has been dilated by a scale factor of 1/2, Quadrilateral M'N'P'Q' is an enlargement of the pre-image.
Question 18 options:
True
False
9514 1404 393
Answer:
17. True
18. False
Step-by-step explanation:
A dilation will be an enlargement when the magnitude of the scale factor is greater than 1.
__
17. The magnitude of the scale factor is 1 2/3, a value greater than 1. The dilation is an enlargement (True).
__
18. The magnitude of the scale factor is 1/2, a value less than 1. The dilation is not an enlargement. The statement is False.
Write the slope of a line perpendicular to y=-6x+4. Explain why it is perpendicular
Answer:
1/6 is the slope since you have to flip it
Step-by-step explanation:
Answer:
The slope of a line perpendicular to the equation is 1/6 or x/6.This is perpendicular because it is the reciprical of the other equation
Step-by-step explanation:
y=-6x+4.
the slope intercept form is y=mx+b
m is the slope
m=-6
for the equation to be perpendicular then the slope is the reciprical
Knowing this lets find a line perpendicular to this equation
Equation:
y=1/6x+2/3
or
y=x/6+2/3
i need this question answered by 2:30 its for 20 points pls help
Answer:
46800
Step-by-step explanation:
10x15x24x13=46800
Which expression represents each mathematical phrase?
Drag the answer into the box to match each phrase.
(1) the product of 7 and a number
(2) the sum of 7 and a number
(3) 7 less than a number
(4) 7 more than twice a number
(a) 2+x+7
(b) 7+x
(c) 2x+7
(d) x-7
(e) 7x
(f) 7-x
Answer:
(1) = (e) 7x. (2) = (b) 7+x. (3) = (d) x-7. (4) = (c) 2x+7
the question is "what is the rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted"
please help!
Answer:
Rate Of Change= 7
Step-by-step explanation:
all you have to do is see the difference, imma make a table here first
x y
1 10
3 24
6 45
11 80
15 108
from 10 to 24 you add 14
from 1 to 3 you add 2
so y/x
14/ 2 = 7
check:
from 24 to 45 you add 21
from 3 to 6 you add 3
so y/x
21/3 = 7
From y/x your final answer will always be 7.
So the rate of change will be 7.
Hope this helped a little!
Review: Angle Bisectors
A
Directions: Label the diagram with the
proper congruence markings and known
measurements.
Answer:
m∠AOC = 15°m∠BOC = 15°Step-by-step explanation:
Given the angle ∠AOB
It is stated that CO is the angle bisector of ∠AOB.
Given that ∠AOB = 30°
As we know that the angle bisector bisects the angle into two equal angles.
Thus, the angle bisector CO bisects the angle ∠AOB into two equal angles, which are:
m∠AOCm∠BOCas
∠AOB = 30°
Thus, the two formed angles i.e m∠AOC and m∠BOC by the angle bisector would be half of the angle bisector as the angle bisector bisects the angle ∠AOB into two equal angles.
Therefore,
m∠AOC = 15°m∠BOC = 15°PLEASEEEEEEEEEEE NO ONE IS HELPING ME!!!!!!!!
George was writing a paper for English class. He has already written 1 complete page. He plans on writing his paper at a rate of 2 pages per hour. Show all work and explain your answers clearly. Use complete sentences.
How many pages will George have written after 3 hours?
Answer:
George would have 7 pages complete
Step-by-step explanation:
Since he has 1 paper complete now and after 3 hours he would have 7 since 3x2=6 and 6+1=7
Mr. Mills is 5 feet and 11 inches tall. How many inches tall is he?
Answer:
71
Step-by-step explanation:
There are 12 inches in a foot:
12 inches x 5 feet = 60
60 + 11 inches = 71 inches total
Answer:
71 inches
Step-by-step explanation:
12 inches in a foot
12*5
60+11
71 inches
Hope this hopes. Have a great day. May it be filled with joy and happiness.
Simplify the expression:
10t - 40 + 3t + t
Answer:
Your correct answer is 14t - 40
Step-by-step explanation:
Combine like terms:
10t + 3t + t = 14t
Since there are no other integers, just tag on the -40:
14t - 40
**please mark brainliest!!
find the mean median and mode of the data set :15,11,14,10,12,15,15
Answer:
Mean = 13.14, Median = 14, Mode = 15
Step-by-step explanation:
The mean is the numbers added together divided by the number of numbers
15 + 11 + 14 + 10 + 12 + 15 + 15 = 92
92 / 7 = About 13.14
The median is the middle of the numbers ordered from least to greatest
10 11 12 14 15 15 15
14 is in the middle so that is the median.
The mode is the number showing up the most.
15 shows up 3 times so it is the mode.