Answer:
A={Delaware, Pennsylvania, New Jersey}
|B|=3
Step-by-step explanation:
B={New Hampshire, Virginia, New York}
in the figure above, three congruent circles are tangent to eachother and have centers that lie on the diameter of a larger circle. if the area of each of these small circles is 9pi, what is the area of the larger circle?
a) 36pi
b) 49pi
c) 64pi
d) 81pi
The area of the larger circle is 81π square units.
Congruent circles are circles that are similar in pattern.
The formula for calculating the area of a circle is expressed as:
[tex]A = \dfrac{\pi d^2}{4}[/tex]
Given that the area of each of the small circles is 9π, then:
[tex]9 \pi =\frac{\pi d^2}{4}\\9 = \frac{d^2}{4}\\d^2=9*4\\d^2=36\\d=\sqrt{36}\\d=6units[/tex]
This shows that the diameter of one of the small circles is 6units.
Since the diameter of the three circles will be equivalent to the diameter of the larger circle, hence;
Diameter of the larger circle = 3(6) = 18units
Get the area of the larger circle:
[tex]A=\frac{\pi D^2}{4}\\A=\frac{\pi \times 18^2}{4}\\A =\frac{324\pi}{4}\\A= 81\pi[/tex]
Hence the area of the larger circle is 81π square units.
Learn more on the area of circles here: https://brainly.com/question/12298717
What is the volume of this regular prism?
54.97 cubic inches
8.91 cubic inches
109.95 cubic inches
21.99 cubic inches
Answer:
A
Step-by-step explanation:
The volume of prism is b*h, base area is (2.5)*(3.24*(1.1)=8.91. Hence volume is 8.91*6.17=54.97
A speed training service wants to explore the effectiveness of some of the classes offered to their clients. They randomly select 300 high school athletes and record their 50-meter dash time. The 300 high school athletes are then randomly assigned to three groups with 100 in each. One hundred athletes will take a circuit training class, 100 athletes will take an interval training class, and 100 athletes will take a plyometrics training class. At the end of 10 weeks of taking these classes, their 50-meter dash time will be recorded a second time. Their times will be analyzed to see which class showed the greatest overall improvement in times.
Select all the sentences that correctly identify the components of the experiment.
The experimental units are subjects.
The subjects are the 50 athletes.
There is one treatment, the 50-meter dash.
There are three treatments.
One treatment is a circuit training class.
The factor is the type of class.
There are 10 levels of the factor.
Answer:
A,D,E,F
1,4.5,6
The experimental units are subjects.
There are three treatments.
One treatment is a circuit training class.
The factor is the type of class.
ED2021
Please help‼️
Given O below, if XY and YZ are congruent, what is the measure of chord XY?
Answer:
11.2
Step-by-step explanation:
yz = 11.2
since the corresponding arc of yz and xy are same, their measures will ba same too
Answered by GAUTHMATH
Answer:
11.2
Step-by-step explanation:
good luck!
Which graph represents the solution set of the inequality 11 ≤ 2x + 5 ≤ 15
Answer:
D.
Step-by-step explanation:
First, simply the inequality.
[tex]11\leq 2x+5\leq 15\\6\leq 2x\leq 10\\3\leq x\leq 5[/tex]
Based on the simplified inequality, you are looking for a line with closed points on 3 and 5. Therefore, the answer is D.
What is the solution to the system of equations below?
2x+3y=6
x-3y=9
Answer:
Step-by-step explanation:
2x + 3y = 6
2x = 6-3y
x = (6-3y)/2
x - 3y = 9
(6-3y)/2 -3y = 9
(6-3y)/2 -6y/2 = 9
(6-9y)/2 = 9
6 - 9y = 9×2
-9y = 18-6
y = 12/-9
y = -4/3
2x + 3y = 6
2x + 3(-4/3) = 6
2x -4 = 6
2x = 6+4
2x = 10
x = 10/2
x = 5
Therefore x = 5 and y = (-4/3)
I used subsitution method
please click thanks and mark brainliest if you like :)
Answer:
x = 5; y = -4/3
Step-by-step explanation:
One equation has 3y. The other equation has -3y. Add the equations to eliminate y and solve for x.
2x + 3y = 6
(+) x - 3y = 9
---------------------
3x = 15
x = 5
2x + 3y = 6
2(5) + 3y = 6
3y + 10 = 6
3y = -4
y = -4/3
Answer: x = 5; y = -4/3
BRAINLIEST TO BEST ANSWER There are ten numbered bags on the table with ten coins in each bag. The coins in one of the bags are fake. A real coin weighs 10 grams, and a fake coin weighs 9 grams. How do you find the bag that contains the fake coins with just one weighing?
Answer:
There are 10 bags. 9 of the bags have real coins, 1 bag has fakes. A real coin weighs 10 g, a fake coin weighs 9 g.Take 1 coin from the first bag, 2 coins from the 2nd bag, 3 coins from the 3rd bag, 4 coins......., 5 coins............, .........10 coins.......
If there are no fakes at all, the total weight should be: 550 grams.
If the weight is 545 grams, there would be 5 fakes, and so the fake bag would be Bag 5. (because there is a 5 gram difference)
I hope this helps!
pls ❤ and mark brainliest pls!
what represent the relationship between the total mass of a crate
9514 1404 393
Answer:
(a) M = 0.25n +100
Step-by-step explanation:
The distance between the dots on the graph is a rise of 1 grid square and a run of 2 grid squares. If we extend the sequence of dots to the left, we expect to place one at (0, 100). That is, the y-intercept of this function is 100 (eliminates choices C and D).
The rise of 1 grid square represents 25 kg, and the run of 2 grid squares represents 100 CDs. Then the slope of the function (rate of change) is ...
slope = rise/run = 25/100 kg/CD = 0.25
Then the equation describing the points on the graph will be ...
M = 0.25n +100
Solve for a.
5a + 2 - 7-8 = 0
What is the root? If there is no root, choose none.
Answer:5
Step-by-step explanation: root5a+2 +7a-8 = 0
squaring both side
5a+2=7a-8
8+2=7a-5a
10=2a
a=5
Answer:
[tex]\sqrt{5a+2}-\sqrt{7a-8}=0[/tex]
Isolate a square root on the left-hand side
[tex]\sqrt{5a+2} =\sqrt{7a-}8+0[/tex]
Eliminate the radical :-
[tex]5a+2 = 7a-8[/tex]
Solve:-
[tex]2a -10 = 0[/tex]
Add 10 to both sides, then Divide both sides by 2:-
[tex]a = 5[/tex]
OAmalOHopeO
Laura makes a sound that 80.9 dB loud. Sarah makes a sound that is 3 time as intense. What is the loudness of Sarah's sound (in dB)
Answer:
242.7 dB
Step-by-step explanation:
Prove a proof please
Answer:
They look similar
Mariah swam her leg of the race in 24.98 seconds and Janet swam her leg of the relay race in 25.874 seconds. What was their combined time for their part of the relay?
Answer:
50.854 seconds
Step-by-step explanation:
24.98 + 25.874 = 50.854 seconds
What is the distance between point C and point D?
Question 5 options:
A)
17 units
B)
13 units
C)
12 units
D)
√85 units
Answer:
B. 13 units
Step-by-step explanation:
let
(x1 , y1) = (-4 , -6)
(x2 , y2) = (1 , 6)
distance between CD = root (x2 - x1)^3 + (y2 - y1)
= root {1 - ( -4)}^2 + {6 - ( -6)}^2
= root {1 +4}^2 + {6+6}^2
= root 5^2 + 12^2
= root 25 + 144
= root 169
= 13 units ans
1.1.3 what is the the perimeter of a swimming pool if the length is 4,5m and the breadth is 3m? 1.1.4 Define the following concepts :a. Ratio. b. Rate
The perimeter of the swimming pool is 15m
A swimming pool is rectangular in nature. The perimeter of the rectangular pool is expressed using the formula;
[tex]P=2(L+W)[/tex]
Given that
Length L = 4.5m
Width W = 3m
Get the perimeter
[tex]Perimeter = 2(4.5+3)\\Perimeter = 2(7.5)\\Perimeter = 15m[/tex]
Hence the perimeter of the pool is 15m
1.1.4 Rate is defined as the ratio between two quantities with a different unit. Examples of rates are;
meter per second, miles per hourcalories per serving etcThe ratio is simply defined as the ordered pair between two variables x and y, For instance,
The ratio of x to y is x:y.If there are 5 pencils and 2 pens in a carton, then the ratio of the pencil to pen is 5:2.Learn more on ratio and rate here: https://brainly.com/question/24325733
Find the surface area of a rectangular prism with a height of 16 feet, a width of 10 feet, and a length of 13 feet.
988 ft2
996 ft2
980 ft2
1000 ft2
Answer: 996 ft2
Step-by-step explanation:
Add up the area of all 6 sides of the prism:
(10 · 13) + (10 · 13) + (10 · 16) + (10 · 16) + (16 · 13) + (16 · 13)
= 130 + 130 + 160 + 160 + 208 + 208
=996 ft²
Answer:
B) 996 ft2
Step-by-step explanation:
Hey I need helping with solving thank you
Answer:
the answer to this equation is c (10)
Consider the triangle ΔXYZ . Find the angle Z given that ZY=30 , ZX=15 , and YX=21
Step-by-step explanation:
hey bro can get the diagram
Answer:
where is the diagram plz show the diagram
Step-by-step explanation:
given that general term 7n+4
evaluate sum of 5th term and 5th term
[tex]\boxed{\sf t_n=7n+4}[/tex]
We have to find 5th term[tex]\\ \sf\longmapsto t_5=7(5)+4[/tex]
[tex]\\ \sf\longmapsto t_5=35+4[/tex]
[tex]\\ \sf\longmapsto t_5=39[/tex]
please help me asap!!!!!
Answer:
392
Step-by-step explanation:
1.49×10⁸/3.8×10⁵ = 392
Find the missing side. Round your answer to the nearest tenth
Answer:
14.7
Step-by-step explanation:
tan(73)=48/x
or, x=48/tan(73)
or, x=14.7 (rounded to the nearest tenth)
Answered by GAUTHMATH
During a one-month promotional campaign, Fran's Flix gave either a free DVD rental or a 12-serving box of microwave popcorn to new members. It cost the store $1 for each free rental and $2 for each box of popcorn. In all,46 new members were signed up and the store's cost for the incentives was $86. How many of each incentive were given away?
Joes bait shop brought in a gross profit in sales of $4,100.00 in the month of June. During the same month their operating expenses totaled $1990.00. Calculate the net income of the bait shop for the month of June
Answer:
2110
Step-by-step explanation:
4100-1990=2110
Which of the following shows the extraneous solution to the logarithmic equation below?
2 log Subscript 5 Baseline (x + 1) = 2
Answer:
x=4
Step-by-step explanation:
log5(x+1)=1, (x+1)=5, x=4
Answer:
x= -6
Step-by-step explanation:
i got it wrong and the answer is -6
Help
Plz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
angle G
sin inverse (21/29) = 46.4
GH
c^2 - b^2 = a^2
29^2 - 21^2 = a^2
a = √(29^2 - 21^2)
GH = 20
therefore ans is B) <G = 46.4º, <I = 43.6º, GH = 20
the image is located below
Answer:
288 ft³
Step-by-step explanation:
Volume of the pyramid,
base area × height × (1/3)
= (9×8)×12/3
= 72×4
= 288 ft³
Can someone please help
Me
Answer:
$3735
Step-by-step explanation:
2/5 = 8/20
8/20 + 7/20 = 15/20 = 3/4
3/4*4980 = 3735
please help me with this
9514 1404 393
Answer:
92°
Step-by-step explanation:
The "givens" tell you the E and F are midpoints of their respective segments. That means EF ║ AB and angles DBF and EFC are "corresponding" angles with respect to transversal BC and those parallel lines. Corresponding angles are congruent, so ...
m∠DBF = m∠EFC = 92°
Tại sao số mắt xích không được là bội số của số răng đĩa xích
Answer:
Nên sử dụng số răng lẻ cho đĩa xích dẫn động kết hợp với số lượng mắt xích chẵn để mài mòn đồng đều trên răng và trục lăn. Trong trường hợp này, một răng cụ thể của bánh xích không tiếp xúc với một mắt xích cụ thể của xích trong mỗi lần quay.
Step-by-step explanation:
Translated
It is preferable to use an odd number of teeth for the driving sprocket in combination with an even number of chain links for uniform wear and tear on the teeth and rollers. In this case, a particular tooth of the sprocket wheel does not come in contact with a particular link of the chain for every rotation.
Is Statistics mathematics or science? Defend your answer.
Statistics is related to maths because we study, use and even consider statistic problems with reference to mathematics.
• It is mostly used to find the census, which is maths.
• It is used to find interest rates and other banking terms using statistics, which is again related to math.
• It is also used to find the average people living in a village or panchayat, which is also math.
Therefore I strongly believe that Statistics is Maths.
Thank You!
Given the linear function f(x) 2/3x + 6 evaluate f(-6)
the answer is on the photo