Answer:
(1) 1.2 cm
(2) 200 cm by 250 cm
Step-by-step explanation:
The scaled dimention = (Actual dimension) x (scale factor) ...(i)
The given scale factor =1/50
(1) The actual width of the bedroom door= 60 cm.
So, from equation (i),
the width of the door on the scale drawing= 60 x (1/50)=1.2 cm
(2) The scaled dimension of the bed is 4 cm by 5cm.
So, the scaled width of the bed = 4cm and
the scaled length of the bed = 5cm.
So, from equation (i),
4 cm = (Actual width) x (1/50)
So, Actual width = 50 x 4 cm = 200 cm.
And, 4 cm = (Actual length) x (1/50)
So, Actual width = 50 x 5 cm = 250 cm.
=Hence, the actual measurements of his bed is 200 cm by 250 cm.
7. Cassidy's family is driving home
from vacation at an average speed
of 55 mph. After 2 hours they
are 110 miles from home. What
is an equation in point-slope that
represents their distance from
home, y, after x hours?
Answer:
The equation in a point-slope form that represents their distance from
home, y miles, after x hours, is y - 110 = 55(x - 2)
Step-by-step explanation:
The point-slope form of the linear equation is
[tex]y-y_{1}=m(x-x_{1})[/tex] , where
m is the slope of the line (average)
[tex](x_{1},y_{1})[/tex] is a point on the line
→ The family is driving home from vacation at an average speed
of 55 miles per hour
∴ m = 55
→ After 2 hours they are 110 miles from home
∵ x is the number of hours
∵ y is the distance in miles after x hours
∴ [tex]x_{1}[/tex] = 2
∴ [tex]y_{1}[/tex] = 110
→ Substitute these values in the form of the equation above
∴ y - 110 = 55(x - 2)
The equation in a point-slope form that represents their distance from
home, y miles, after x hours is y - 110 = 55(x - 2)
is this aa theorem or sas theorem
Gail ran 4 6/10 miles on Saturday and 6 8/10 miles on Sunday. How many miles did Gail run over the weekend?
Choices :
A. 11 miles
B. 10 4/ 10 miles
C. 11 4/20
D. 14 2/10
Answer:
the answer is 11 4/but that is not on there
There are 3 points on the plane.Explain or determine whether point C is closer to point A or point B.
Point C us closer to point B because if you connected the points B would be in the middle of C going to A line.
Step-by-step explanation:
I hope I helped!
The perpendicular line from a point to a line is the shortest distance from the point to the line
With regards to the three points on the plane, point C is closer to point B
The reason point C is closer to point B is as follows:
The known parameter is;
Three points, A, B, and C, are located on a plane
Required:
To explain or determine whether point C is closer to point A or point B
Method:
Define, the relationship between the destination points A, and B
Find the shortest distance from point C, to the definition of points A, and B
Solution:
The relationship between points A, and B is that they form the line segment AB
The shortest distance from a point C to a line segment AB in Euclidean geometry is the perpendicular distance from the point C to the line segment AB
The line which best approximates the perpendicular line and therefore,
shortest distance from C to AB is the line segment CB
CB represents the shortest line and therefore distance from C to AB, that is
CB is shorter than line segment CA and which shows that it is shorter to go
from C to B, than from C to A or point C is closer to point B than point A
Learn more about Euclidean geometry here:
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Which is an advantage of a personal interview?
A. It is quick to complete.
B. The data is easily combined due to the closed questioning method
C. It is inexpensive to administer.
D. The closed questioning method limits the amount of information.
Answer:
i think B. the data is easily combined due to the closed questioning method.
Step-by-step explanation:
The advantage of a personal interview is that data is easily combined due to the closed questioning method
What is an interview?An interview is a discussion or conversation between a potential employer and a candidate.
Given is an advantage of personal interview.
A personal interview involves a face to face interaction between a recruiter and a candidate. The closed questioning method involves the selection of answers from the given multiple options for example - questions whose answers include a selection from yes or no. This helps in the easy collection of data since the answer given represents the direct and to the point idea about how an individual thinks.
Therefore, the advantage of a personal interview is that data is easily combined due to the closed questioning method
To solve more questions on personal interview, visit the link below-
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Timed Test!!
n + 8 = -9
Answer:
n = -17
Step-by-step explanation:
Original Equation:
n + 8 = -9
Subtract 8 from both sides.
-9 - 8
-9 + (-8)
n = -17
Hope this helped :)
Can someone please help me with these questions?
Answer:
"of" means multiply in math terms!
= 8/13 IS THE ANSWER
Hope this helps!!!! :)
Step-by-step explanation:
What is three hundred thirty and seventy-six hundredths as a decimal?
Answer:
330.76
Step-by-step explanation:
Which of the following figures has 90 rotation symmetry?
a oval
b triangle
c circle
d rectangle
Over the course of a month, caught three times as many squirrels as deer. She also caught five less rabbits than squirrels. The total number of animals she caught is ten more than four times the number of deer caught. How many rabbits did Katniss catch?
Answer:
The number of rabbits Katniss caught = 10 rabbits
Step-by-step explanation:
The number of squirrels Katniss caught = 3 × (The number of deer she caught)
The number of rabbits Katniss caught = The number of squirrels she caught - 5
The total number of animals she caught = 10 + 4 × (The number of deer she caught)
Let the number of deer Katniss caught = D
∴ The number of squirrels she caught = 3×D
The number of rabbits Katniss caught = 3×D - 5
The total number of animals she caught = 10 + 4 × D
Therefore, we have;
The number of squirrels she caught + The number of deer she caught + The number of rabbits she caught = 10 + 4 × D
3×D + D + 3×D-5 = 10 + 4 × D
7·D - 5 = 10 + 4·D
7·D - 4·D = 10 + 5
3·D = 15
D = 15/5 = 5
∴ The number of deer Katniss caught = D = 5
The number of rabbits Katniss caught = 3×5 - 5 = 10
The number of rabbits Katniss caught = 10 rabbits.
9 – nx = 17nx solve for x Explain how to do it
Assessment
MULTIPLE CHOICE
Directions: Read and answer the questions carefully. Write th
your Mathematics notebook.
1. Which of the following is a well - defined set?
A. The set of big people.
B. The set of happy people.
C. The set of prime numbers.
D. The set of intelligent teachers.
Answer:
C. The set of prime numbers.
Thank you ☺️
find the distance between (-7, 5) and (0, -1) in simplest radical form
Answer:
6/7
Step-by-step explanation:
The chart above shows 2009 annual mean earnings by highest degree earned. What were the mean earnings of
individuals with a master's degree?
A.)$20,241
B.)$73,738
C.)$127.803
D.)$32,295
Answer: im guessing its B but im not sure
If DG = 10, what is the value of x?
X + 1
2x -15
0
G
0 A 12
OB. 8
O C.
4
cole
O D. 14
Answer:
[tex]x = 8[/tex]
Step-by-step explanation:
Given:
[tex]DG = 10[/tex]
See attachment for complete question.
From the attachment, we can conclude that:
[tex]x + 1 + 2x - 15 = DG[/tex]
Substitute 10 for DG
[tex]x + 1 + 2x - 15 = 10[/tex]
Collect Like Terms
[tex]x + 2x = 10 + 15 - 1[/tex]
[tex]3x = 24[/tex]
Solve for x
[tex]x = 24/3[/tex]
[tex]x = 8[/tex]
Line m is represented by the equation 2x + 4y - 12. Which of the following equations represents a line perpendicular to line m and intercects line m at its y-intercept?
-2x + y = 3
- 2x + y = 12
4x - 2y = 3
4x - 2y = 12
Answer:
A) -2x + y = 3
Step-by-step explanation:
The equation of the line that is perpendicular to the given line and passes through its y-intercept is -2x + y = 3.
We are given that;
The equation= 2x + 4y - 12
Now,
The given line is 2x + 4y - 12 = 0.
To find the slope of a line perpendicular to this line, we need to find the slope of the given line first.
Rewrite the equation in slope-intercept form which is given by:
y = mx + b
where m is the slope and b is the y-intercept.
2x + 4y - 12 = 0
4y = -2x + 12
y = (-1/2)x + 3
Hence, the slope of the given line is -1/2.
The slope of a line perpendicular to this line is the negative reciprocal of this slope which is given by:
[tex]m(perpendicular)[/tex] = -1/m = -1/(-1/2) = 2
To find an equation of a line that passes through the y-intercept of the given line and has a slope of 2.
The y-intercept of the given line can be found by setting x = 0:
2(0) + 4y - 12 = 0
y = 3
Hence, the y-intercept of the given line is 3.
The equation of a line with a slope of 2 and passing through (0,3) can be found using point-slope form which is given by:
y - y1 = m(x - x1)
where (x1,y1) = (0,3) and m = 2.
Substituting these values we get:
y - 3 = 2(x - 0)
y - 3 = 2x
y = 2x + 3
Therefore, by the equation answer will be -2x + y = 3.
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sam bought 2 1/5 pounds of carrots for 6.60$. what is the unit rate in cost per pound
Answer:
The answer is 3.
Step-by-step explanation:
Jake is 4 years older than Mike.If Mike is m years older write an expression for jakes age
SOMEONE PLZ HELP ME !!! ASAP
Solve this problem.
6x > 60
x>10
All you have to do is divide by 6 on both sides
Need help please!!!!
Given : A inequality is given to us . The inequality is 19 ≥ t + 18 ≥ 11 .
To Find : The correct option between the given ones . To write the compound inequality with integers .
Solution : The given inequality to us is 19 ≥ t + 18 ≥ 11 . Let's simplify them seperately .
[tex]\red{\tt Case\:1}[/tex]
⇒ 19 ≥ t + 18 .
⇒ t + 18 ≤ 19 .
⇒ t ≤ 19 - 18 .
⇒ t ≤ 1 = 1 ≥ t . ..................(i)
[tex]\red{\tt Case\:2}[/tex]
⇒ t + 18 ≥ 11 .
⇒ t ≥ 11 - 18.
⇒ t ≥ -7 . ....................(ii)
On combing (i) & (ii) .
[tex]\Large\boxed{\green{\bf \red{\longmapsto} 1 \geqslant t \geqslant -7 }}[/tex]
This means that t is less than or equal to 1 but greater than or equal to (-7) .
4x + 8 = 36 linear equations
Answer:
7
Step-by-step explanation:
4x=36-8
4x=28
x=7
Find the distance between the points (0, 2) and (4, 5).
Answer:
it's going to be 5
Step-by-step explanation:
Erik drives 19.2 miles in 16 minutes.
He passes a sign which gives the speed limit as 65 mph.
By how much, in mph, did Erik's average speed exceed the speed limit?
The average speed exceeding the speed limit is mathematically given as
6.91 kilometers per hour
This is further explained below.
What is the average speed exceeding the speed limit?Let's assume that Erik maintains a steady pace during the whole trip.
Therefore, the following equation of motion may be used to compute the speed, which is expressed in terms of miles per hour:
Where: miles is the unit of measurement for distance.
t stands for time, which is measured in hours.
Kindly take into account that one hour is comprised of sixty minutes. If we assume so, then we can calculate Erik's speed as follows:
[tex]\begin{aligned}&v=\frac{19.2 m i}{0.267 h} \\\\&v=71.910 \frac{m i}{h}\end{aligned}[/tex]
In conclusion, That is 6.91 kilometers per hour faster than the allowed speed limit.
Read more about average speed
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I need a bit help im new to this math stuff
Answer:
I think it is the 3rd one
179 to the power of 179
Answer:
InfinityStep-by-step explanation
:this is what the calc says
The result of 179 to the power of 179 in scientific notation is [tex]179^{179}=1.822 \times 10^{403}[/tex]
Given the indices, [tex]a^b[/tex], from the expression we can see that;
a is the baseb is the exponentGiven the indices expression [tex]179^{179[/tex]
This means that we are to multiply 179 in 179 places. Hence the required indices are expressed as;
[tex]179^{179}=1.822 \times 10^{403}[/tex]
The result of 179 to the power of 179 in scientific notation is [tex]179^{179}=1.822 \times 10^{403}[/tex]
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Which of the following is an irrational number?*
770
O 9.222...
7/2
O
7100
Answer:
I guess 09.222....
Step-by-step explanation:
Katy works as a court reporter. She can type 27,000 words in two hours. Which of the following best represents Katy's rate in words per minute? *
Answer:
225 wpm
Step-by-step explanation:
Ok, I'm gonna solve it as I type this:
So you know that she types 27k words in two hours so you can divide it by 2 to get the words per hour. 27000 divided by 2 is equal to 13500 or also 13.5k.
Now you know the hours, you can divide that by 60 to get the words per minute since there are 60 words per hour.
You get 225 words. (That is a very fast speed lol I do 140)
So 225 words per minute.
solve for v pls thanks
Answer:
v = 18
Step-by-step explanation:
8/3v = 48
were going to have to get 3 on the other side, so were going to cancel it out and multipliy it because it is a fraction
now we would have 8v = 48*3
48*3=144
now the equation looks like this 8v = 144
to isolate v we can divide 8 on both sides
which brings us to v = 18
High Hopes^^
Barry-
Determine the value of e. image attached.
Answer:
answer: b. 16
Step-by-step explanation:
8*4=32
32*0.5=
16
is the following graph a function?
A. yes
B. no
Answer:
Yes
Step-by-step explanation:
You can use the Vertical line test to figure this out, and sure enough none of the points touch the vertical line.
