Answer:
Ok, we know that the width of the door is 4.20m.
Then, if the arc is at the top of the door, we will have that the diameter of that "half circle" will be equal to the width of the door.
Then the diameter of the arc is 4.20m
And the radius is defined as half of the diameter, so we have:
radius = 4.20m/2 = 2.10m
And we can write this in cm (because the probelm ask for it)
1m = 100cm
then 2.10m = 2.1*100cm = 210cm
Now, we know that the perimeter of a circle is:
P = 2*pi*r
where pi = 3.14
Then the perimeter (or arc) of half a circle will be half of that:
Arc = (2*pi*r)/2 = pi*r
and r = 210cm, pi = 3.14
Arc = 3.14*210cm = 659.4cm
A car's velocity changes from 1.2 m/s to 35.8 m/s in 8 seconds. What is the average acceleration of the car in m/s2?
Answer:
4.325 meters per second squared.
Step-by-step explanation:
simplify the expression √100/49
Answer: 10/7
Step-by-step explanation:
The square root of 100 is 10 and the square root of 49 is 7 so the answer will be 10/7
The required solution is [tex]1\frac{3}{7}[/tex] .
It is required to simplify the expression.
What is expression?An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined
Given:
The square root of 100 is 10 and the square root of 49 is 7.
According to given question we have,
[tex]\sqrt \frac{100}{49} \\\\=10/7\\\\=1\frac{3}{7}[/tex]
Therefore, the required solution is [tex]1\frac{3}{7}[/tex] .
Learn more details about expression here:
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2+4=2×+4 2+4=2×2+4 2+4=
Answer:
25 is the correct answer
What does -3mnp equal?
Answer:
3MN to N =3000000
Step-by-step explanation:
Find r, s, and t and then explain how you got your answer using at least two
vocabulary words (adjacent, complementary, supplementary, vertical).
Answer:
r = 155°
s = 25°
t = 155°
Step-by-step explanation:
25° is supplementary to <r. Therefore:
m<r + 25° = 180°
m<r = 180 - 25
m<r = 155°
25° and <s are vertical opposite angles. Vertical angles are congruent. Therefore, m<s = 25°
<r and <t are vertical opposite angles, therefore, they are congruent.
m<t = m<r = 155°
Solve for x. {x}{3}+2=-13
Which expression represents the perimeter of this figure?
A. 4n(to the second power)
B. 5n
C. 10n
D. 8n
Answer:
C. 10n
Step-by-step explanation:
The figure has 2 sides with length 4n and 2 sides with length n.
perimeter = 4n + 4n + n + n
perimeter = 10n
The perimeter of the figure is 10n. which is the correct answer would be option (C).
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
Where W is the width of the rectangle and L is the length of the rectangle
We have been given that the figure has 2 sides with length 4n and 2 sides with length n.
The perimeter of the figure = 4n + 4n + n + n
Apply the addition operation in the above equation, we get
The perimeter of the figure = 10n
Therefore, the correct answer would be an option (C).
Learn more about the Perimeter of the rectangle here:
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What are Two angles that have the same measure are called........? (please help due today thank you so much)
Answer:
Two angles that have the same measure are called CONGRUENT ANGLES...
Plz mark ice bear Brainliest
Two angles that have the same measure are called congruent angles
How to determine the termTwo angles having the same degree of measurement are said to be congruent.
A protractor can be used to compare the angle measures of congruent angles, or angle relationships and properties can be used to find congruent angles in a variety of geometric shapes. Because they enable us to recognize and address issues concerning parallel lines, triangles, polygons, and other geometrical shapes, congruent angles are crucial in the study of geometry.
In order to work with angles and their properties in mathematics, one must first understand congruent angles.
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Evaluate the expression x - 7. If x= 12.
19
6
17
5
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{5}}}}}[/tex]
Step-by-step explanation:
Given , value of x = 12
To find : Value of the given expression
Given expression = [tex] \sf{x - 7 }[/tex]
plug the value of x
[tex] \dashrightarrow{ \sf{ 12 - 7}}[/tex]
Subtract 7 from 12
[tex] \dashrightarrow{ \sf{5}}[/tex]
Hope I helped!
Best regards! :D
Plz help
Asppp......
Answer:
it is 7
Step-by-step explanation:
Given points are the same, so midpoint also will be the same:
[tex]M_{AB}=\left(\dfrac{x_A+x_B}2\,,\ \dfrac{y_A+y_B}2\right)=\left(\dfrac{9+9}2\,,\ \dfrac{7+7}2\right)=\left(9\,,\ 7\right)\\\\x_M=9\,,\quad y_M=7[/tex]
Tom made a square measuring 8 feet by 8 feet, and had 18 friends stand inside it as if they are watching a band at a small club. Find the ratio of this number to the rectangle’s area. Choose the appropriate label for this ratio.
Answer:
The ratio of this number to the rectangle’s area is 9:32.
Step-by-step explanation:
The information provided are:
Tom made a square measuring 8 feet by 8 feet.He had 18 friends stand inside it as if they are watching a band at a small club.The area of the square is:
A = (side)²
[tex]=(8\ \text{feet})^{2}\\\\=64\ \text{feet}^{2}[/tex]
The number of people standing insider the square is:
n = 18
Compute the ration of n to A as follows:
[tex]n:A=18:64[/tex]
[tex]=\frac{18}{64}\\\\=\frac{9}{32}\\\\=9:32[/tex]
Thus, the ratio of this number to the rectangle’s area is 9:32.
Solve 2(x - 7) = 5x + 4.
Answer:
2x - 14 = 5x + 4
2x - 5x = 4 + 14
-3x = 18
x = 18/-3
x = - 6
3.4 + 2(9.7 – 4.8x) = 61.2
Answer:
x=-4
Step-by-step explanation:
Nia has a membership to Apple Music. She pays $9.99 per month and $0.10 per download. If she spent $10.89 last month, how many downloads did she make last month?
Answer:
9 downloads
Step-by-step explanation:
Let's start by subtracting the initial fee of $9.99 from her total bill of $10.89.
$10.89 - $9.99 = $0.90
Now, let's divide her total cost of downloads by the individual cost of downloads.
$0.90/$0.10 = 9
Nia made 9 downloads last month.
3. There are 24 girls and 36 boys in Yuki's
science class. Given this information,
answer the following questions:
a) What is the ratio of girls to boys?
b) Girls make up what percent of the
class (round to nearest whole
percent)?
c) Yuki herself makes up what percent
of the class (round to nearest
hundredth)?
Answer:
a) 24:36 simplified: 2:3
b) 40%
c) 1%
Step-by-step explanation:
b) total people:
24 + 36= 60
24/60 = 0.4 40%
c) 1/60 = 0.01
01%
dilations pls help i cant solve
Answer:
D' (6, - 4 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin then multiply the coordinates of D by 2, that is
D(3, - 2 ) → D'(2 × 3, 2 × - 2 ) → D'(6, - 4 )
Quincy Jackson sells motorcycles. He earns a 10 percent commission on the first $5,000 and 15 percent on all sales over $5,000. How much cornmission will he earn on $19,000 in sales?
Answer:
total commission= $2,600
Step-by-step explanation:
Giving the following information:
He earns a 10 percent commission on the first $5,000 and 15 percent on all sales over $5,000.
First, we need to structure the total commission formula:
total commission= 0.10*x + 0.15*y
X= sales up to $5,000
Y= sales from $5,001 to infinity
Now, sales for $19,000 sales:
total commission= 0.1*5,000 + 0.15*14,000
total commission= $2,600
2. Which of the following is not an example of
a perfect square?
a. 9
b. 200
C. 4
d. 64
3[–x + (2 x + 1)] = x – 1
Answer:
x = -2Step-by-step explanation:
[tex]3[-x + (2 x + 1)] = x -1\\\\\mathrm{Expand\:}3\left(-x+\left(2x+1\right)\right):\quad 3x+3\\3x+3=x-1\\[/tex]
Collect like terms
[tex]3x -x =-1-3[/tex]
Add similar elements
[tex]2x = -4\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2x}{2}=\frac{-4}{2}\\\\Simplify\\\\x = -2[/tex]
Jada plans to serve milk and healthy cookies for a book club meeting. She is preparing 12 ounces
of milk and 4 cookies per person. Including herself
, there are 15 people in the club. A package of
cookies contains 24 cookies and costs $4.50.
A 1-gallon jug of milk contains 128 ounces and costs $3. Let n represent number of people in the
club, m represent the ounces of milk, c represent the number of cookies, and b represent Jada's
budget in dollars.
Select all of the equations that could represent the quantities and constraints in this situation.
M=12(15)
3 m + 4.5 c=b
4n = c
B= 2 (3) + 3 (4.50)
4 (4.50) = c
Answer:
4n=c
Step-by-step explanation: i took the quiz if this is wrong its prob a differnt
quiz the last person i answered got md at befor i didnt know what quiz she take a.
A _____ is a flat surface that has no thickness.
line
plane
floor
point
Answer:
plane is correct answer
eg:
a sheet of paper
it has no thickness but have surface area
hope it helped you:)
How many counters are shown below?
Put your answer in tens and ones. Every box needs an answer.
Place a zero (0) in any box with no value.
Help me with this question plz
Vectors: A boat moves through the ocean on a foggy day. The boat is pointing North and can typically move at a speed of 12.8 m/s in calm waters. The boat travels through water where there is a 5.9 m/s current flowing to the East. What is the speed of the boat relative to a stationary observer on land? __m/s Part 2 The boat turns to face directly West. Now how fast is the boat moving relative to land? __m/s
Answer:
1.) 14.09 m/s
2.) 6.9 m/s
Step-by-step explanation:
Given that the boat is pointing North and can typically move at a speed of 12.8 m/s in calm waters. The boat travels through water where there is a 5.9 m/s current flowing to the East.
The speed of the boat relative to a stationary observer on land will be achieved by using pythagorean theorem
V^2 = 12.8^2 + 5.9^2
V^2 = 198.65
Square root both sides
V = 14.09 m/s
2.) If the boat turns to face directly West.
Since the boat can move at speed 12.8 m/s in a calm water, the speed of the boat if it face west will be
12.8 - 5.9 = 6.9 m/s
Therefore, the boat is moving relative to land at 6.9m/s
What are the terms of 3x-4xy+10y+1
Answer:
[tex]3x,-4xy,10y,\text{ and }1[/tex].
Step-by-step explanation:
Single numbers, variables and product of number and variables are know as terms. In an algebraic expression each term is separated by an addition "+" sign.
The given expression is
[tex]3x-4xy+10y+1[/tex]
It can be written as
[tex]3x+(-4xy)+10y+1[/tex]
Therefore, the terms are [tex]3x,-4xy,10y,\text{ and }1[/tex].
what is the domain and range of the graph
Answer:
both are "all real numbers"
Step-by-step explanation:
The graph appears to be of a cubic polynomial (degree 3). Any polynomial has a domain of "all real numbers."
Any odd-degree polynomial has a range of "all real numbers."
Both the domain and range are "all real numbers", (-∞, ∞).
Tony buys 420 candy bars, if he eats 351 bars, how much candy bars would Tony have left?
Answer:
69 candy bars
Step-by-step explanation:
No. Of candies he had=420
No. Of candies he ate=351
No of candies left=420-351=69
Answer:69 candy bars left
Step-by-step explanation:
420-351=69
180-(3x-10) simplify this
Answer:
-3x+190
Step-by-step explanation:
180-(3x-10)
180-3x+10
-3x+190
Answer:
[tex]180 - (3x - 10) \\ = 180 - 3x + 10 \\ = 190 - 3x[/tex]
hope I am correct
thanks!
please help me :( my mom is she doing my work tomorrow
2: 23
3: 3
4: 2^3 * 7
Glad i could help :)
Español
Dale is a software salesman. His base salary is S1800, and he makes an additional S90 for every copy of English is Fun he sells.
Let P represent his total pay (in dollars), and let N represent the number of copies of English is Fun he sells. Write an equation relating P to N. Then use this
equation to find his total pay if he sells 23 copies of English is Fun.
Answer:
P = 90N +1800$3870Step-by-step explanation:
For sales of N copies at $90 each, 90N is added to Dale's base salary of $1800.
P = 90N +1800
__
For N=23, Dale's salary would be ...
P = 90(23) +1800 = 2070 +1800 = 3870
Dale's total pay for selling 23 copies would be $3870.
Is 6.56 a rational number