The area of circle A to the area of circle B ratio is 100: 64, and the ratio of e: f is 13: 10.
The area of the circle is equal to the multiplication of the square of the circle's radius and π.
A = πr²
where 'r' is the radius
Circumference of circle A × 0.8 = circumference of circle B
So, taking r as the radius of A,
2πr = circumference of circle A
2πr × 0.8 = circumference of circle B
So the radius of B is r × 0.8.
Now we can substitute that in the area equations :
Area of A = π×r²
Area of B = π × (r × 0.8)² = π × r² × 0.64
The circumferences of the A to B ratio is
Circumference of A : Circumference of B = (2 × π × r)/(2 × π × r × 0.8)
= 1: 0.8 = 100: 80,
The areas of circle A to circle B ratio is
Area of A : Area of B = (π × r²)/(π × r² × 0.64) = 1: 0.64 = 100: 64
e² = f² × 1.69
69% larger shows that f² is the 100% to which we must add 69% to obtain e². 100% + 69% Equals 169%, obtaining a factor of 1.69.
We have this equation:
e² = f² × 1.69
Apply the square root on both sides.
e = f × √(1.69) = f × 1.3
e/f = 1.3 = 1.3/1 = 13/10
the ratio e:f = 13: 10
Thus, the ratio of circle A's area to circle B's area is 100: 64 and the ratio of e: f is 13: 10.
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Angie puts 1/3 of a gallon of gas in her lawn mower. She can mow the lawn 4 times before
she needs to refill it How many gallons of gas does it take to mow the lawn once? How
many times can she mow the lawn with one gallon of gas?
( please explain how u got your answer )
Answer:
1/12 gallon per mowing12 mowings per gallonStep-by-step explanation:
Given that Angie can mow her lawn 4 times using 1/3 gallon of gas, you want to know how much gas is required for each mowing, and how many times Angie can mow on one gallon of gas.
Gallons per mowingTo find the number of gallons required for each mowing of the lawn, divide the number of gallons by the number of mowings:
(1/3 gal)/(4 mowings) = 1/(3·4) gal/mowing = 1/12 gal/mowing
It takes 1/12 gallon to mow the lawn once.
Mowings per gallonThe reciprocal of this value has the reciprocal units.
1/(1/12 gal/mowing) = 12 mowings/gal
Angie can mow the lawn 12 times with one gallon of gas.
__
Additional comment
It often proves useful to keep the units with the numbers when working rate problems. This can eliminate a lot of mistakes. The units are treated as you would treat a variable.
I need help with my starr review again im littarly sorry.. its math!
Mr. Hurd's son Kaden baseball team won 13 games during the spring season of 2020. They won 17 games during the fall season of 2020. What was the percent of increase in games won? Round to the nearest tenths.
Answer:
30.8% increase.
Step-by-step explanation:
17 - 13 |13| * 100% = 4 13 * 100 = 30.8%
I hope this helped you!
Solve Similar Triangles (advanced)
Solve for X.
Given:
[tex]m\angle B=90^\circ, m\angle D=90^\circ, AB=x, BD=9, BC=1, DE=5[/tex].
To find:
The value of x.
Solution:
In triangles ABC and ADE,
[tex]\angle B\cong \angle D[/tex] (Right angles)
[tex]\angle A\cong \angle A[/tex] (Common angles)
[tex]\Delta ABC\sim \Delta ADE[/tex] (AA property of similarity)
We know that the corresponding sides of similar triangles are proportional. So,
[tex]\dfrac{AB}{AD}=\dfrac{BC}{DE}[/tex]
[tex]\dfrac{x}{x+9}=\dfrac{1}{5}[/tex]
On cross multiplication, we get
[tex]5x=x+9[/tex]
[tex]5x-x=9[/tex]
[tex]4x=9[/tex]
[tex]x=\dfrac{9}{4}[/tex]
[tex]x=2.25[/tex]
Therefore, the value of x is 2.25 units.
Sovle for b ;3b-8=-5
Answer:
b=1
Step-by-step explanation:
First we need to isolate the variable (kind of like social distancing) well lets move -8 to the other side and make it positive since we moved it to the other side.
3b = -5+8
3b = 3
b = 1
solve for x: 5x - 18 = -8
Answer:
x = 2
Step-by-step explanation:
5x - 18 = -8
+18 +18
5x = 10
5x/5 = 10/5
x = 2
PLEASE ANSWER ASAP WILL GIVE BRAINLIEST
50 POINTS! Calculate the expression in the most efficient way possible. Show steps.
5^1125 * 0.2^1123
Answer:
25
Step-by-step explanation:
Given expression:
[tex]5^{1125} \times 0.2^{1123}[/tex]
Rewrite 0.2 as a fraction:
[tex]\implies 5^{1125} \times \left(\dfrac{1}{5}\right)^{1123}[/tex]
[tex]\textsf{Apply exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:[/tex]
[tex]\implies 5^{1125} \times \dfrac{1^{1123}}{5^{1123}}[/tex]
Simplify the numerator by applying the exponent rule a¹ = a:
[tex]\implies 5^{1125} \times \dfrac{1}{5^{1123}}[/tex]
[tex]\textsf{Apply the fraction rule} \quad a \times \dfrac{b}{c}=\dfrac{ab}{c}:[/tex]
[tex]\implies \dfrac{5^{1125} \times1}{5^{1123}}[/tex]
[tex]\implies \dfrac{5^{1125}}{5^{1123}}[/tex]
[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]
[tex]\implies 5^{1125-1123}[/tex]
Simplify the exponent:
[tex]\implies 5^{2}[/tex]
Simplify:
[tex]\implies 5 \cdot 5[/tex]
[tex]\implies 25[/tex]
please look at the pic and help im desperate
Answer:
c
Step-by-step explanation:
gong rented a truck for one day. There was a base fee of $19.95, and there was an additional charge of 71 cents for each mile driven. Hong had to pay $125.74 when he returned the truck. For how many miles did he drive the truck?
Answer:
19.95 + .71 × x = 125.74
x = 141.053
x is the answer
The local pizza placed has placed a new circular sign above the restaurant. The circumference of the sign is 37.68 feet, and the diameter is 12 feet. Which expression best represents the value of it? * The local pizza place has placed a new circular sign above the restaurant. The circumference of the sign is 37.68 feet, and the diameter is 12 feet. Which expression best represents the value of pi?
A.37.68/6
B.37.68/12
C.12/37.68
D.6/37.68
Answer:
B
Step-by-step explanation:
The circumference of a circle can be described as the linear distance round the circle
The circumference of a circle = 2πr or πD
π = 3.14
r = radius
d = diameter
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
π = circumference / 2r or circumference / D
37.68 / 12
1. Which describes the parametric equations x=t-1 and y=-t+2?
A. y=-x+3 The orientation is up to the right
B. y=-x+3 The orientation is down to the right
C. y=-x+1 The orientation is up to the right
D. y=-x+1 The orientation is down to the right
2. Which describes the conic section with parametric equations x=2 cos t and y=4 sin t?
A. 1=x^2/4+y^2/16; an ellipse with vertical major axis
B. 1=x^2/4-y^2/16; a hyperbola with horizontal transverse axis
C. 1=x^2/16+y^2/4; an ellipse with horizontal major axis
D. 1=x^2/16-y^2/4; a hyperbola with vertical transverse axis
3. A skateboarder goes off of a ramp at a speed of 52ft./s. The ramp is 5ft. above the ground with a 30° angle of elevation. Which set of parametric equations represents the skater's jump? The acceleration due to gravity is 32ft./s^2.
A. x=26√3t+5 and y=-16t^2+26t+5
B. x=36√3t and y=-16t^2+26t+5
C. 26t+5 and y=-16t^2+26√3t+5
D. 26√3t and y=-16t^2+26t
Answer:
Just did the Connexus Parametric functions Review Practice:
1. D
2. A
3. B
4. A C and D
5. C
6. C
7. D
8. B
9. A C and E
10. D
11. D
12. C
13. A
14. D
For part 1 the equation y = -x +1 and orientation is down to the right and for part 2 the equation 1=x^2/4+y^2/16; an ellipse with vertical major axis
What are parametric equations?A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.
1) We have parametric equations x = t - 1 and y = -t + 2
After converting from parametric to Cartesian form, we will get:
y = -x +1 and orientation is down to the right
2) For parametric equations, x = 2cost and y = 4sint
In the Cartesian form:
[tex]\rm 1=\dfrac{x^2}{4}+\dfrac{y^2}{16}[/tex]
With vertical major axis
Similarly, we can get parametric equations represents the skater's jump.
Thus, for part 1 the equation y = -x +1 and orientation is down to the right and for part 2 the equation 1=x^2/4+y^2/16; an ellipse with vertical major axis.
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a marble bag contains three red marbles and four gray marbles six white marbles and five black marbles what is the probability of randomly drawing a red marble and then a gray marble if the first marbel is replaced
Answer:
1/27
Step-by-step explanation:
do good!
1. If triangle ABC has the following measurements, find the measure of angle A. a = 17 b = 21 C = 25 42.3° 137.7° 56.2° 81.5°
Answer: Triangle ABC is a right triangle, because it satisfies the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
c^2 = a^2 + b^2
25^2 = 17^2 + 21^2
625 = 289 + 441
625 = 730
Since it is a right triangle, angle A is the angle opposite side a, which is the side that is the length of 17.
A right triangle also has one angle which is always 90 degree, that is the angle opposite the hypotenuse, so the remaining angle is A, which is 90- angle C, which is
90 - 42.3 = 47.7 degree.
Therefore the measure of angle A is 47.7°
So the correct answer is C. 42.3°
Step-by-step explanation:
The vertices of triangle ABC have coordinates A(-2,-1) B(10,-1) and C(4,4). Determine and state the area of triangle ABC
find the slope of the line passing through the points (1,0) and (-4,2)
Answer:
-2/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(2-0)/(-4-1)
m=2/-5
m=-2/5
Please help me i was having trouble!!
Answer:
The answer is 5
Step-by-step explanation:
add all numbers up then divide by how many numbers there are.
PLEASE HELP!!!! YOU DON"T MULTIPLY THEM TOGETHER I ALREADY TRIED THATIf you help me and get it right I will mark brainliest and more!!!
Answer:
The surface area of this prism is 800 ft^2
Step-by-step explanation:
To get this answer you need to add all the base edges, which will equal to 40. Then you times 40 with 20 which will equal to 800 ft^2. Hope this helps!
Answer:
520ft^2
Step-by-step explanation:
triangles
A=1/2bh
A=60
since both those half triangles make one trianlge there is no need to multipply 60 by 2
back rectangular
A= l x w
A= 8x20
A= 160
face rectangle
A= l x w
A=20 x 17
bottom rectangle
A=lxw
A = 300
add it all up
60+160+300=520ft^2
LET ME KNOW IF I MADE A MISTAKE
A 28 foot ladder is propped against a wall. The base of the ladder is 19 ft from the wall how far up the wall does the ladder go
Answer:
20.6
Step-by-step explanation:
The problem can be solved by applyPythagoreanean theory
a^2+b^2= c^2
19^2 + b^2= 28^2
361 + b^2= 784
b^2= 784-361
= 423
b= √423
= 20.6
0.5 (ug)^2 (Mm)^-3 is equivalent to
...... kg^2 cm^-3
I will give brainliest but please explain!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
G should be at the sum of y and x combined but x is not given
Step-by-step explanation:
Answer:
(0,-2)
Step-by-step explanation:
The graph intercepts through the y axis, G.
You can get these coordinates b solving the equation like so:
y=3x-2
move the x varible to the left side and the y to the left....
-3x+y=-2
-3x=-2-y
divided both sides by 3 to isolate x
x= 2/3+ 1/3y
when you graph that equation you get the points (0,-2)
The price of a cell phone call costs $4.35 for 3 minutes. How much would a 20-minute call cost?
Answer:
29 dollars
Step-by-step explanation:
first find the cost for one minute
4.35/3 = 1.45$ per minutes
1.45 x 20 = 29 dollars
If 23 jugs of water fills 184 cups how many cups will fill one jug show your math
Answer:
To find out how many cups a single jug of water fills, you can divide the total number of cups filled by the number of jugs:
184 cups / 23 jugs = <<184/23=8>>8 cups/jug
This means that one jug of water fills 8 cups.
Step-by-step explanation:
ILL BRAINLIEST YOU PLEASE HELP ME
How do I solve these problems?
Answer:
- 32, - 7, 18 and 127, 106, 85
Step-by-step explanation:
Add the common difference d to the previous term
(1)
a₁ = - 32
a₂ = a₁ + 25 = - 32 + 25 = - 7
a₃ = a₂ + 25 = - 7 + 25 = 18
The first 3 terms are - 32, - 7, 18
(2)
a₁ = 127
a₂ = a₁ + d = 127 - 21 = 106
a₃ = a₂ + d = 106 - 21 = 85
The first 3 terms are 127, 106, 85
Answer:
-32, -7, 18 and
127, 106, 85
Step-by-step explanation:
You can use the following formula to solve this:
[tex]a_{n} = a_{1} + (n - 1)d[/tex]
a is the nth term in the sequence. So at the 3rd term, n = 3
a₁ is the first term in the sequence. In your first question, a₁ is -32. In your second, a₁ is 127.
(n - 1) represents the term before a, or the term before the current term. So at the 3rd term, (n - 1) = 3-1, which is 2.
d represents the common difference between terms. Aka what you add or subtract to a term to get the next one.
For the first question, you know a₁ and d, so you can substitute them into the equation to find the second and third terms:
a = -32 + (n - 1)25
You also know (n-1), because a is 2 when you're looking for the second term. So (n-1) = 2-1, which is 1. So put that in the formula and simplify:
a = -32 + (1)25
a = -32 + 25
a = -7
The second term is -7. To find the 3rd term, do the same thing.
a = -32 + (n - 1)25
(n-1) is 2, since you're on the third term and n is 3.
a = -32 + (2)25
a = -32 + 50
a = 18
So the first 3 terms are -32, -7, and 18.
For the second one, the formula looks like this:
a = 127 + (n - 1)-21
The first term is 127. Find the 2nd (n is 2):
a = 127 + (1)-21
a = 127 -21
a = 106
Then find the 3rd term (n is 3)
a = 127 + (2)-21
a = 127 -42
a = 85
So the first 3 terms are 127, 106, and 85.
ASAP NEED HELP THX LOOK AT PICTURE !!!
Can someone answer one of my questions for once 50 pts
x=12
Step-by-step explanation:L||M means L will be parallel to M.
Two lines are parallel if their corresponding angles are the same.
Corresponding angles are shown below.
As the two angles given are corresponding, L||M when x+5 = 2x-7.
x+5 = 2x-7
x = 12
Therefore, the value of x which makes L||M is 12.
Answer:
x = 12
Step-by-step explanation:
Now we have to,
→ find the required value of x.
Forming the equation,
→ x + 5 = 2x - 7
Then the value of x will be,
→ x + 5 = 2x - 7
→ x - 2x = -7 - 5
→ -x = -12
→ [ x = 12 ]
Hence, the value of x is 12.
I SWEAR I NEED HELP PLEASEEEEEEEEEEE NO LINKS
A report states that of home owners have a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 6 percentage points with confidence
To estimate the true proportion of home owners who have vegetable gardens to within 6 percentage points with confidence, a sample size of 384 would be needed.
How big of a sample is required to confidently estimate the true percentage of homeowners having vegetable gardens to within 6 percentage points?This can be calculated using a sample size calculator and the given margin of error and desired confidence level.The size of the sample needed can be calculated using the formula n = (z2 * p * (1-p)) / e2, where n is the size of the sample, z is the z-score associated with the desired confidence level (1.96 for 95% confidence), p is the estimated proportion of home owners having a vegetable garden, and e is the margin of error (6 percentage points).Assuming a conservative estimate of p = 0.50, the sample size needed to estimate the true proportion of home owners having a vegetable garden to within 6 percentage points with 95% confidence is:n = (1.962 * 0.50 * 0.50) / (0.06)2 = 384.9 ≈ 385Therefore, a sample size of 385 home owners is needed to estimate the true proportion of home owners having a vegetable garden to within 6 percentage points with 95% confidence.The equation is: n = (z_alpha/2)^2 * (p*(1-p)) / e^2 Where n is the sample size, z_alpha/2 is the z-score for the desired confidence level (e.g., z = 1.96 for a 95% confidence level), p is the estimated population proportion, and e is the margin of error. For this example, we can assume a 95% confidence level (z = 1.96), a population size of N = 100,000, and a margin of error of 6 percentage points (e = 0.06). Plugging these values into the sample size equation, the required sample size is n = (1.96/2)^2 * (0.5*(1-0.5)) / 0.06^2 This gives us a sample size of n = 384.To learn more about the Theory of Confidence Intervals refer to:
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Volleyball practice is h hours long. Debbie had 3 volleyball practices last week. Choose the expression that shows the number of hours of practice.
The number of hours of practice is 3 x h or 3h.
What is the number of hours of practice?In mathematics, an expression is a sentence that contains at least one number or variable. Additionally, an expression consists of at least one mathematical operation. There is no equal to sign in an expression.
Given:
Volleyball practice is h hours long. Debbie had 3 volleyball practices last week.
Multiply the number of hours for each practice by the total number of practice to get the expression for the number of practice hours.
The mathematical operation known as multiplication is used to calculate the sum of two or more numbers.
Number of hours of practice
= hours of practice x number of practice
= 3 x h
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