The diameter of one circle is 12 inches long. The
diameter of a second circle is 25% longer than the
diameter of the first circle. To the nearest square inch,
how much larger is the area of the second circle than
the arca of the first circler
Answer:
9.42 in.²
Step-by-step explanation:
12 × 25% = 3
12 + 3 = 15
2πr
2 × 6 × 3.14 = 37.68 in.²
2 × 7.5 × 3.14 = 47.1 in.²
47.1 in.² - 37.68 in.²
9.42 in.²
The area of the second circle larger than the area of the first circle will be 63.585 square inches.
What is the area of the 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.
Let r be the diameter of the circle. Then the area of the circle will be
A = (π/4) d² square units
The width of one circle is 12 inches long. The width of a subsequent circle is 25% longer than the measurement of the primary circle.
The diameter of the second circle is given as,
⇒ 1.25 x 12
⇒ 15 inches
The area of the first circle is given as,
A₁ = (π/4) (12)²
A₁ = 113.04 square inches
The area of the second circle is given as,
A₂ = (π/4) (15)²
A₂ = 176.625 square inches
The area of the second circle larger the area of the first circler is given as,
A = A₂ - A₁
A = 176.625 - 113.04
A = 63.585 square inches
The area of the second circle larger than the area of the first circle will be 63.585 square inches.
More about the area of a circle link is given below.
https://brainly.com/question/11952845
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Pls help me with this
Are all isosceles triangles similar? Are all right triangle similar? Are all isosceles right triangles similar? Explain.
Please don't answer with one answer, blank or a ridiculous response. This is serious please.
And don't send links that are viruses
Please explain each one.
9514 1404 393
Answer:
a) no
b) no
c) yes
Step-by-step explanation:
a) Isosceles triangles can have a third angle (the one that is not part of the pair of equal angles) with any value in the range 0 < α < 180°. Triangles with different angle values will not be similar.
Not all isosceles triangles are similar.
__
b) The smallest acute angle of a right triangle can have any measure in the range 0 < α ≤ 45°. Right triangles having different smallest angles will not be similar. The attachment shows dissimilar right triangles.
Not all right triangles are similar.
__
c) If the smallest acute angle of a right triangle is 45°, then both acute angles are 45°, and the right triangle is an isosceles triangle. Each such triangle will be similar to every such triangle.
All isosceles right triangles are similar.
order the numbers 0.3, 2/5, -0.85, 0.09, 3/4, 3/20 least to greatest
Answer:
-0.85, 0.09, 3/20, 0.3, 2/5, 3/4
Step-by-step explanation:
Turn all the fractions into decimals
2/5 -> .4
3/4 -> .75
3/20 -> .15
Then order them
-.85, 0.09, 0.15, 0.3, 0.4, 0.75
Find the solution(s), if any, of the given equation using quadratic formula:
6x2 – 30x = 36
Answer:
x = 6 and x = -1.
Step-by-step explanation:
The given equation is :
[tex]6x^2-30x=36\\\\6x^2-30x-36=0\\\\or\\\\x^2-5x-6=0[/tex]
We can solve it using the middle term splitting method.
[tex]x^2-(6x-x)-6=0\\\\x^2-6x+x-6=0\\\\x(x-6)+1(x-6)=0\\\\(x-6)=0\ and\ (x+1)=0\\\\x=6\ and\ x=-1[/tex]
So, the solutions are x = 6 and x = -1.
Classify the following triangle, Check all that apply A Equilateral B, Acute C. Scalene D. Obtuse E. Isosceles. F.Right
Answer:
D) obtuse
Step-by-step explanation:
Answer:
the answer is D. Obtues
Which is a formula for the area of a triangle?
Group of answer choices
A = 1/2 X b X h
A = Base X Height
A = L X W
A = bh
Find an equation for the line below?
Please help I’m not very good with figuring out graphing
Answer:
y = 1/3x + 8/3
Step-by-step explanation:
To find an equation use two points to gather the slope and y-intercept.
(1, 3) (-5, 1)
Slope:
y2 - y1 / x2 - x1
1 - 3 / -5 - 1 = -2 / -6
-2 / -6 = 1 /3
y = 1/3x
y intercept is 8/3
Equation: y = 1/3x + 8/3
hope this helps and is right. p.s. i really need brainliest :)
Answer:
y=1/3x+8/3
Step-by-step explanation:
Select the point that is a solution to the system of inequalities.
A- (2,6)
B- (0,8)
C-(-2,-4)
D-(4,2)
HELP PLEASE!!!!!
Answer:
its A
Step-by-step explanation:
Divide the rational expressions
(X/x+1)(2/x)
( 1 + 1 )( 2/x )
(2)(2/x)
4/x
that's basically it
There are 4 triangles and 16 squares.what is the simplest ratio of triangles to square
When driving in England, Brian drove through several speed cameras. On one drive, Brian left his hotel and after 7 minutes he was 2.5 km away and at that moment was measured going 0.5 kpm (kilometers per minute). Later, 18 minutes after he started driving, he was 14.8 km from the hotel and at that moment was measured going 0.8 kpm.
A. Find the linearization at 7 minutes.
B. Find the linearization at 18 minutes.
C. Compute two approximations for Brian's distance from his hotel at 14 minutes, using the linearizations from parts a and b.
D. Which approximation do you think is better? Why?
Solution :
The formula for the linearization of a function [tex]$f(x)$[/tex] at a point [tex]$x$[/tex] = a is given as
[tex]$L(x)=f(a)+(x-a)f'(a)$[/tex]
Assuming the time is t and the distance travelled is [tex]$f(t)$[/tex], that makes the speed as [tex]$f'(t)$[/tex].
So substituting them in the linearization formula,
A. At t = 7 minutes
f(7) = 2.5 km
f'(7) = 0.5 kpm
∴ [tex]$L_7(t)=f(7)+(t-7)f'(7)$[/tex]
[tex]$=2.5+(t-7)0.5$[/tex]
[tex]$=2.5+0.5t-3.5$[/tex]
[tex]$=0.5t-1$[/tex]
B. At t = 18 minutes
f(18) = 14.8 km
f'(18) = 0.8 kpm
∴ [tex]$L_{18}(t)=f(18)+(t-18)f'(18)$[/tex]
[tex]$=14.8+(t-18)0.8$[/tex]
[tex]$=14.8+0.8t-14.4$[/tex]
[tex]$=0.8t-0.4$[/tex]
C. Substituting the value of t as 14 in both the linearization to determine the position at 14 minutes, we get
[tex]$L_7(14)=0.5(14)-1.0$[/tex]
= 7 - 1
= 6 km
[tex]$L_{18}(14)=0.8(14)+0.4$[/tex]
= 11.2 + 0.4
= 11.6 km
D. According to the linearization at 7, the distance travelled between the 7 minutes and 14 minutes is = 6 km - 2.5 km
= 3.5 km
And between the 14 minutes and 18 minutes is = 14.8 km - 6 km
= 8.8 km
This is an average speed of 0.5 kpm in the first interval and an average speed of 2.2 kpm.
Now, according to the linearization of 18, the distance travelled between the 7 minutes and the 14 minutes is = 11.6 km - 2.5 km
= 9.1 km
And between 14 minutes and 18 minutes is = 14.8 km - 11.6 km
= 3.2 km
This gives an average speed of 1.3 kpm in the first interval and 0.8 kpm in the second interval.
Therefore, the second approximation is the better one since the average speed are closer to the actual readings in the second linearization.
PLEAASEE HELP ITS ALREASY LATE AND I DK WHAT TO DO
Answer:
A
Step-by-step explanation:
we can find out by writing its equation;
9-(-3) / (14-4) = 12 / 10 = 6 / 5
so its equation gonna be y = 6/5x - 7.8
.
now we can grid in the answer choices:
-9 = -6/5 -7.8 so (-1 , -9) is the correct answer
.
What is the area of the square? A square with the left side labeled 4 units.
Answer:
Area = 16 units
Step-by-step explanation:
Area = length * width Length = x Width = w
A = (x) (w)
Because the shape is a square we know all 4 sides are equal, the lenth and width are the same sizes.
x = 4 units
w = 4 units
A = 4*4
A= 16 units
The area of the figure below is ___ft2. Round to the nearest hundredth where necessary. Please help ! Will mark brainlist!
Answer:
A=467.61 ft^2
Step-by-step explanation:
This is a trapezoid. The area of this trapezoid is [tex]A=\frac{1}{2}(25+33)h[/tex] . 33-25 is 8, so that is the base of the little traingle if we break up the slanted end into a triangle. Now we can use the pythagoreum theorem to find out that the height is 16.125 .
Now the Area equation is [tex]A=\frac{1}{2}(25+33)16.125[/tex]
That gives us our final answer of 467.61 ft^2
***** Help asap! *****
If x=7-4 √3 then find the value of (x+1/x)^2
Answer:
29.03703703
Step-by-step explanation:
7-4 √3 = 5.196152423
(5.196152423 + 0.19245009)^2
geometry/ trigonometry. please help!!!!
Answer:
Sin A= 5/13, Cos A= 12/13, Tan A= 5/12
Step-by-step explanation:
Answer and Step-by-step explanation:
Trig functions:
sin(Angle) = [tex]\frac{Opposite.side}{Hypotenuse}[/tex]
cos(Angle) = [tex]\frac{Adjacent.side}{Hypotenuse}[/tex]
tan(Angle) = [tex]\frac{Opposite.side}{Adjacent.side}[/tex]
C = 26 because of Pythagorean theorem
sin(A) = [tex]\frac{10}{26} = \frac{5}{13}[/tex]
cos(A) = [tex]\frac{24}{26} = \frac{12}{13}[/tex]
tan(A) = [tex]\frac{10}{24} = \frac{5}{12}[/tex]
#teamtrees #PAW (Plant And Water)
HELP NEEDED PLSS
Given the following diagram, find the trigonometric ratios.
Leave answers as reduced fractions (improper fractions are fine).
B
sinA=
COSA =
Answer:
Sin A = 3/5
Cos A = 4/5
Step-by-step explanation:
To find trigonometric ratio, recall SOHCAHTOA.
Thus:
Reference angle = <A
Opposite side to <A = 6
Adjacent side = 8
Hypotenuse = AB = √(8² + 6²) = 10 (pythagorean theorem)
Therefore,
✔️Sin A = Opp/Hyp
Sin A = 6/10 = 3/5
✔️Cos A = Adj/Hyp
Cos A = 8/10 = 4/5
If the area of a triangle is 150 square cm, and the height is 10, what is the length of the base?
Answer:
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Step-by-step explanation:
xcvbn
Answer:
Step-by-step explanation:
150=10*Base*1/2
15=Base*1/2
Base=30cm
A number cube with faces labeled from 1 to 6 was rolled 20 times. Each time the number cube was rolled, the number showing on the top face was recorded. The table shows the results. Results Number Showing on Top Face Frequency 1 0 2 3 3 3 4 6 5 3 6 5 Based on these results, what is the experimental probability that the next time the number cube is rolled it will land with 5 or 6 showing on the top face? 2 5 A 3 20 B 1 3 C 3 5 D
Answer:
4/5
Step-by-step explanation:
3+5=8
so it's 8/20
and the simplest form of 8/20 is 4/5
If you help me and explain how you got your answer you will get brainlisyt
Answer:
36.72
Step-by-step explanation:
Take 60% of 61.20. That is the markup.
60% * 61.20 = 60/100 * 61.2 = 3672/100 = 36.72
The markup is 36.72
help me please :(*****
Answer:
54
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Answer:
Step-by-step explanation:
A child weighing 59 lb has a bad infection and is to be given Cefaclor.
The dosage is 15 mg per kg.
The drug will be delivered in an oral suspension with concentration 250 mg/5 mL.
How many mL will she receive?
Round to the nearest whole number.
You will need to convert her weight to kg, using 1 kg = 2.2 lb.
Answer:
Step-by-step explanation:
59:2,2=26,81
15*26,81:250=1,6086
Find the slope of the line.
X^2/3 •5x =5x^5/3
Can someone explain how the exponent is 5/3?
Tricia looked at a map of an amusement park that used the scale 1 inch = 1 meter. On the map the roller coaster was 5 inches from the ice cream stand. When Tricia gets off the roller coaster, how far will she have to walk to get to the ice cream stand?
A. 3 inches
B. 6 inches
C. 4 meters
D. 5 meters
Answer:
D = 5 meters
Step-by-step explanation:
1 inch = 1 meter
5 inch = 5 meter
Whatever you do to one side you do the same to the other.
Write the slope-intercept form of the equation that goes through the point (0,0)
and is parallel to the line that has a slope of -6.
Answer:
y = -6x
Step-by-step explanation:
slope-intercept form: y = mx + b
slope↑ ↑y-intercept
parallel lines have the same slope, thus the slope is -6
substitute the y in (0, 0) and the slope of -6 into the equation y = mx + b:
=> y = -6x + 0
=> y = -6x
Each of three friends flips a coin 36 times.Angel records ”tails” 20 times,Santi records “tails” 17 times.Kataleya records “tails” 23 times. Find the relative frequency with which each friend records “tails” Which friend has a relative frequency that is closest to the theoretical probability of flipping “tails” 36 times?Explain.
Answer:
The one with 17
Step-by-step explanation:
Heads/tails=1/2 or 50%
20/36=56%
17/36=47%
20/36=64%
47% is closer to 50%
Please help me on 5 I don’t get it LOL 11 point pleaseeee
Answer:
Hello there! the answer would be H, 1/36
Step-by-step explanation:
I hope you have a great day!