Answer:
They are the same size.
Step-by-step explanation:
Radius is one half the diameter meaning our diameter is twice as large as our radius. So (diameter)/2 = radius or 2*radius= diameter. So since the radius of circle r is 7 inches, that means its diameter is 14 inches. If the diameter of circle k is 14 inches, that means its radius is 7 inches.
Factor −1/4 out of −1/2x−5/4y..ㅤ
Answer:
- 1/4 (2x + 5y)Step-by-step explanation:
Divide each term by - 1/4 first
-1/2x ÷ (- 1/4) = 1/2x × 4 = 2x-5/4y ÷ (- 1/4) = 5/4y × 4 = 5yNow facor out - 1/4
- 1/2x - 5/4y = - 1/4 (2x + 5y)PLS HELP ASAP a wheel makes 13 revolutions to cover a distance of 65 m find the radius of the wheel
Circumference:-
65/135mRadius:-
2πr=5πr=2.5r=2.5/πr=0.797mAnswer:
radius = 0.8 m (nearest tenth)
Step-by-step explanation:
One revolution of the wheel means one complete turn. Therefore, the distance of one revolution is the circumference of the wheel.
First, find the distance of one revolution (the circumference) by dividing the total distance by the given number of revolutions:
[tex]\sf circumference=\dfrac{65}{13}=5\:m[/tex]
Formula
[tex]\textsf{circumference of a circle}=\sf 2 \pi r \quad \textsf{(where r is the radius)}[/tex]
[tex]\implies \sf radius=\dfrac{circumference}{2 \pi}[/tex]
Substituting the found value of the circumference into the formula to find the radius:
[tex]\implies \sf radius=\dfrac{5}{2 \pi}=0.8\:m\:(nearest\:tenth)[/tex]
Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale.
The value of the variable 'x' in the circle will be 26.7 units. Then the correct option is D.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
In primary mathematics, a statement defines a relationship between the four line segments formed by two crossing chords within a circle.
The equation is form by the above theorem is written as,
9 · x = 24 · 10
Simplify the equation, then we have
9 · x = 24 · 10
9x = 240
x = 240 / 9
x = 26.6667
x ≈ 26.7 units
The value of the variable 'x' in the circle will be 26.7 units. Then the correct option is D.
More about the circle link is given below.
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find the perimeter of polygon
Answer:
22
Step-by-step explanation:
4+7+4+7=22
Please help!!!!!!!!!!!!!!!!!!!!!!
Answer:C
Step-by-step explanation:
Okay so the value of 'a' is 2 so anywhere you see 'a', you substitute its value for 22(5-a)² + 7a2(5-2)² +7×2 2(3²) + 14 (2×9) + 1418 + 1432Answer:
option C
Step-by-step explanation:
Ive attach my work
Hppe it hels, Let me know if you have any questions !
If the point with coordinate
(k,7) lies on the equation 2x−y=5 determine the value of k
Answer:
k = 6
Step-by-step explanation:
since (k, 7 ) lies on the line then it satisfies the equation.
substitute the coordinates of the point into the equation and solve for k
2k - 7 = 5 ( add 7 to both sides )
2k = 12 ( divide both sides by 2 )
k = 6
Answer:
k = 6
Step-by-step explanation:
The point (k, 7) lies on the line with the equation 2x - y = 5
Substitute the coordinates of the point in the equation2(k) - 7 = 52k = 12k = 6In triangle ABC, the measure of angle A is90, the measure of angle B 45 and measure of angle C 45 what is the combined measure of the three angles?
180.....,...........
Step-by-step explanation:
angle A + angle B + angle C = 90+45+45
= 180
6. Find the H.C.F. of: (a) a² + 2ab + b2-c?, b? + 2bc + ? - a and c? +2ac + a-b? +
Answer:
- (a + b)^2
- (b + c)^2
- (a - b + c) (a + b + c)
The answer is given in the photos below (for verification),
I hope my answer helps you.
Chart Rodrigo's total utility for lattes and the marginal utility for the same using information
from the table.
Quantity
Utility
0
14
2
3
4
on ANO
22
28
32
35
5
1)
40
30
Units of Total Utility
20
10
0
1
2
3
4
N
5
Number of Lattés
2)
)
20
15
Units of Total Utility per Latte
10
5
0
1
2
3
4 5
Number of Lattés
The marginal utility is the extra satisfaction derived from the consumption of a product.
How to illustrate the marginal utility?Your information isn't well written. Therefore, an overview of utility will be given. The total utility is the total amount of satisfaction that a consumer derives from a product.
The marginal utility simply means the extra satisfaction that's gotten from a product when an additional unit is consumed.
The formula for marginal utility will be:
= Total utility difference/Quantity of goods difference
Learn more about marginal utility on:
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If sin o = -square root 3/2 and pi < o < 3pi/2 what are the values of cos and tan?
Answer:
c
Step-by-step explanation:
- A store lowered all prices by 10%. By how
much will the price of a $35 item be lowered?
111
Answer:
so, it's 0.1x35=3.5
it will be lowered by 3.5 dollars
Answer:
$31.50
Step-by-step explanation:
Original price: $35
Discount percentage:
10%
Results
Discount: $3.50
Final Price: $31.50
Details
Discount = Original Price x Discount %/100
Discount = 35 × 10/100
Discount = 35 x 0.1
You save = $3.50
Final Price = Original Price - Discount
Final Price = 35 - 3.5
Final Price = $31.50
1.
The area of a circle is 25m^2, what would be its diameter?
2.
The perimeter of a circle is 30 cm, what would be its radius?
3.
What would be the area of a circle with a perimeter of 12 feet.
HELP
Answer:
1. diameter=5.54m
2. radius=9.55cm
3. area=11.46feet²
Step-by-step explanation:
1. The formula of the area of a circle is: A=[tex]\pi r^{2}[/tex]
A: area of the circle=25m²
[tex]\pi[/tex] : Pi≈3.14
r: radius of the circle= unknown
Solve the equation to find r:
25=(3.14)r²
r²=[tex]\frac{25}{3.14}[/tex] =7.69m²
r= √7.69= 2.77m
diameter d= 2 x r =2 x 2.77 =5.54m
2. The formula of the perimeter of a circle is: P=2[tex]\pi r[/tex]
P: perimeter of the circle= 30cm
[tex]\pi[/tex] : Pi≈3.14
r: radius of the circle= unknown
Solve the equation to find r:
30=(3.14)r
r= [tex]\frac{30}{3.14}[/tex] = 9.55cm
radius r = 9.55cm
3. First we have to find r (radius) from the equation of perimeter:
P=2[tex]\pi r[/tex]
r= [tex]\frac{P}{2\pi }[/tex] = [tex]\frac{12}{2(3.14)}[/tex] = [tex]\frac{12}{6.28}[/tex] =1.91 feet
Substitute r in the equation of area to get the area:
A= [tex]\pi r^{2}[/tex] = 3.14 (1.91)² = 3.14(3.65) = 11.46 feet²
Plss help!!
Will give brainliest!!!
Answer:
It's 4
Step-by-step explanation:
2 2/5 - 12/5 (Simplify)
2 2/5 - 2 2/5
0 (Subtract)
(1x0) + 4 (Finish Equation)
0 + 4 (Add)
4 (Done)
Is the function is even, odd or neither? How do you know?
Answer:
Step-by-step explanation:
A function is even if [tex]f(x)=f(-x)[/tex], or if the graph has a rotational symmetry about the x-axis. A function is odd if [tex]f(x)=-f(-x)[/tex]. For example, if you were to reflect that graph about the y-axis. Would it present symmetry?
From the graph we know from the fundamental theorem of Algebra that since f has 3 distinct roots, and changes directions three times, we are dealing with a cubic equation in the form of [tex]f(x)=x(x+2)(x-2)[/tex]
Since the equation is known, try the formulas
First, test for an even function, [tex]f(x)=f(-x)[/tex], this means that for our function, f, [tex]f(2)=f(-2)[/tex] see if this holds true
[tex]2(2+2)(2-2) = -2(-2+2)(-2-2)\\2(4)(0)=-2(0)(-4)\\0 = 0[/tex]
This means that the function is even.
The original blueprint for the Morenos living
room has a scale of 2 inches
5 feet, The family
wants TO use a new blueprint that shows the
length of the living room to be 15 inches. If
the width of the living room on the original
blueprint is 6 inches and the length is 9.6 inches,
what are the scale and the width of the new
blueprint?
Answer:
new width=9.375 in
new scale= 1 foot= 0.4 inches
Step-by-step explanation:
Firstly to find the width we can set up a proportion:
[tex]\frac{x}{15}[/tex] =[tex]\frac{6}{9.6}[/tex], after solving for x, x= 9.375, which gives us our width.
To find the new scale, we knew that the old scale was 2 in=5 feet, or 1 in=2.5 feet, so to find the new one we can also set a new proportion,
[tex]\frac{1}{2.5} = \frac{15}{x}[/tex]
After solving you will get x= 37.5, so 15 inches= 37.5 feet, but to simplify we can divide,
15/37.5= 0.4
I tried my best loooool
10) Write the equation of the line passing through the points (-1, 2) and (3, 4)
A) y = 2x - 2
B) y - 2x - 10
9-x
D) y x -
Step-by-step explanation:
(-1,2) = x1 , y1(3,4) = x2 , y2Using two points formula equation AB is :( y - y1 ) = y2 - y1 / x2 - x1 ( x - x1 )( y - 2 ) = 4 - 2 / 3 - ( -1 ) ( x - ( -1 ) y - 2 = 4 - 2 / 3 + 1 ( x + 1 )y - 2 = 2 / 4 ( x + 1 ) y - 2 = 1 / 2 ( x + 1 )y - 2 = ( x + 1 ) / 2 2( y- 2 )= ( x +1 ) 2y - 4 = x + 1 - 4 - 1 = x - 2y-5 = x - 2yx - 2y +5 = 0 , which is the required equation..2) Michael purchased a used car for $6,150 and had to pay 6.5% sales tax. How much tax
did he pay?
Answer:
$399.75
Step-by-step explanation:
6.5% of $6,150 =
= 0.065 × $6,150
= $399.75
Answer: $399.75
He had to pay $399.75
formula: Tax = Tax Rate * Purchase Price
$6,150 * 6.5%$399.75A pattern of dots is shown below. At each step, more dots are added to the pattern. The pattern continues indefinitely. How many dots would be found in the 30th step? Explain a rule that you could use to find the number of dots in any given step.
Using an arithmetic sequence, it is found that 89 dots would be found in the 30th step.
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
Researching the problem on the internet, it is found that the first step has 2 dots, the second has 5 dots, the third has 8 and so on, hence the first term is [tex]a_1 = 2[/tex] and the common difference is d = 3.
Then, the number of dots in the nth step is given by:
[tex]a_n = 2 + 3(n - 1)[/tex]
In the 30th step, the number will be given by:
[tex]a_{30} = 2 + 3(30 - 1) = 89[/tex]
More can be learned about arithmetic sequences at https://brainly.com/question/6561461
gary goes to the grocery store to but hot dogs and hamburgers for a cookout. He buys a total of 8 packages for a total of $28.52. A package of hot dogs costs $2.29 and a package of hamburgers costs $5.69.
Answer:
3 hamburger packs
5 hot dog packs
Step-by-step explanation:
Knowing that:
Gary buy ⇒ 8 packages for a total of $28.52
A package of hot dogs costs $2.29 and a package of hamburgers costs $5.69.
Solving:
Let the Hotdogs = HD
Let the Hamburgers = HB
HD + HB = 8
2.29HB + 5.69HB = 28.52
Hotdogs (HD) = 2.29
Hamburgers (HB) = 5.69
Total ( 8) = 28.52
Since we now know that
Hotdogs (HD) = 2.29
Hamburgers (HB) = 5.69
Thus,
2.29x5 = 11.45
5.69 x 3=17.07
17.07 + 11.45 = 28.52
Thus, gray buy
3 hamburger packs
5 hot dog packs
~[DiscordUser]~
Exercise Sophia pays a $19.99 membership fee for an online music store. a. If she also buys two songs from a new album at a price of $0.99 each, what is the total cost? b. If Sophia purchases 푛 songs for $0.99 each, write an expression for the total cost. c. Sophia’s friend has saved $118 but is not sure how many songs she can afford if she buys the membership and some songs. Use the expression in part (b) to write an equation that can be used to determine how many songs Sophia’s friend can buy. d. Using the equation written in part (c), can Sophia’s friend buy 101, 100, or 99 songs? Relevant Vocabulary VARIABLE (DESCRIPTION): A variable is a symbol (such as a letter) that represents a number (i.e., it is a placeholder for a number). EQUATION: An equation is a statement of equality between two expressions. NUMBER SENTENCE: A number sentence is a statement of equality between two numerical expressions. SOLUTION: A solution to an equation with one variable is a number that, when substituted for the variable in both expressions, makes the equation a true number sentence.
.
What's the answer for all of them??
Answer:
first, how much were her songs? It's two songs each, and their separate prize was 0.99:
total prize was 2*0.99=1.98
this gets added to the membership prize:
19.99+1.98=21.97
you can also calculate this by rounding all the numbers (20+1+1) and substracting the amount you rounded (three times one cent) - the result would be the same.
B 19.99+.99n
C okay so it says Sophia's friend has saved $118 so she already knows she has $118 and then the next step is to figure out about Part B so she does not know how many songs you can afford to buy so the expression in Part B whatever the expression is if you figured out the answer to Part B and there's a number what you want to do what you would want to divide that number into 118 to see how how many equal groups you can make and you don't want to go overboard 18 so what you would want to do it if you would want to do if you figure out the number to expression be in the boring part B they don't want to take that and keep making a go go to that until you reach 118 and then you would get your total
D N=99 songs
Hello! Does anyone know how to do this I already tried some but I got them wrong. Giving brainliest!!
Answer:
The only right angles are between the lines (O,F) and (Q,D)
Step-by-step explanation:
by examination. The tangental line goes through the same point the diameter line goes through so to be tangental it has to be 90 degrees on each side.
Which statement is true about the given function
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Final answer -
[tex]Area \: of \: figure = 60 \: m {}^{2} [/tex]
hope helpful :D
Sarah spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -9.2°F. Between 9am and noon, the temperature rose 2°F. Between noon and 3pm, the temperature went up 12.1°F. Between 3pm and 6pm, the temperature dropped 5.5°F. What was the temperature at 6pm?
Using a system of equations, it is found that the temperature at 6pm was of -0.6 ºF.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
At 9 am, the temperature was -9.2°F. Between 9am and noon, the temperature rose 2°F, hence the temperature at noon was of -9.2 + 2 = -7.2ºF.
Between noon and 3pm, the temperature went up 12.1°F, hence at 3 pm, the temperature was of -7.2 + 12.1 = 4.9 ºF.
Between 3pm and 6pm, the temperature dropped 5.5°F, hence the temperature at 6 pm was of 4.9 - 5.5 = -0.6 ºF.
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What is p(x)? I need help ASAP
Answer:
Option C
Step-by-step explanation:
you just subtract the functions from each other.
hence,
15x - 7x - 20
p(x) = 8x - 20
Please Help me ASAP.
what is the inverse of f(x)=x^2+5
Answer:
[tex]\sqrt{X-5}[/tex], [tex]-\sqrt{X-5}[/tex]
Step-by-step explanation:
Replace X with Y
solve for Y; X = Y^2 + 5
subtract 5 from both sides
X - 5 = Y^2
take the square root
Y = plus or minus sqrt(X-5)
sqrt(X-5); -sqrt(X-5)
Aaron wants to paints a wall in his office. There are two windows in the wall. The windows have dimensions of 4 feet by 3 feet. The height of the wall is 8 feet and the width is 12 feet. What area of wall is to be painted.
Answer:
Answer:we are looking for the area of the Wall to be painted.
Answer:we are looking for the area of the Wall to be painted.Area=L × B
Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.
Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows area
Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LB
Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4
Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4AW=96-12
Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4AW=96-12AW=84
Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4AW=96-12AW=84therefore area to be painted=84feet square
Ram spent 1/3 of his salary on food, ,1/4 of his salary on rent and electricity, and 1/20 of his salary on the telephone. Since April -2022 is the month of Ramadan, irrespective of religion and cast Ram has donated 1/10 of his salary to an orphanage and 5000Aed to RCA Charity. He was left with 3000AED with him. What is his monthly salary?
STEP BY STEP PLS
The total monthly salary earned by Ram in the month of April 2022 is an amount of 30000 AED before payments and donations.
How to solve a word problem
Word problems are statements that embody a set of algebraic expressions that offers at least one solution. In this case, we have to read the statement, find the equivalent formula and solve for the resulting variable.
After a careful reading, the statement is equivalent to the following formula:
x = x / 3 + x / 4 + x / 20 + x / 10 + 5000 + 3000
4 · x / 15 = 8000 (1)
Where x is Ram's monthly salary.
The solution of (1) is x = 30000.
To learn more on word problems, we kindly invite to check this verified question: https://brainly.com/question/11240316
find area of rhombus . please./.
Answer: 126
Step-by-step explanation:
