two circles have a common chord of 16 in. Their centers are 21 units apart from each other. One of the circles has a radius of 17 in.
a)Make an accurate diagram of this situation.
b)Find a possible radius measurement for the second circle.
Answer:
Half of cord 24/2 = 12
Step-by-step explanation:
In the circle with r = 13 we have 13^2 = 12^2 + a^2 where a = the distance from the centre of this circle to the cord. Thus a = 5. Then the distance from the cord to the other circle centre is 21 - 5 = 16. In the second circle you can write r2^2 = 16^2 + 12^2. The r2 = sqrt (400) = 20
STICK EM UP! or I will have to shoot.
AB = AD
Show that ABCD is a kite.
Give a reason for each stage of your working.
Two consecutive odd integers have a sum of 44. Find the integers.
Step-by-step explanation:
Answer
Let2odintegers
(2n+1),(2n+3)
→(2n+1)+(2n+3)=44
⇒4n+4=44
⇒4n=40
⇒n=10
then,integerare
2n+1=21
2n+3=23
Christine got a loan for $160 at 5% simple interest for 3 years. How much will she have to pay the bank after 3 years?
Answer:
185.22
Step-by-step explanation:
An animal population is modeled by the function A(t) that satisfies the differential equation dA dt equals the product of A divided by 1125 and the quantity 450 minus A . What is the animal population when the population is increasing most rapidly?
45 animals 225 animals 40 animals 180 animals
Answer:
225 animals
Step-by-step explanation:
From the given information:
[tex]\dfrac{dA}{dt} = ( \dfrac{A}{1125}) (450 - A)[/tex]
[tex]\dfrac{dA}{dt} = \dfrac{450A - A^2}{1125}[/tex]
For a population increasing most rapidly; we have:
[tex](\dfrac{dA}{dt} \implies max = A')[/tex]
Thus; for [tex]\dfrac{d}{dA} ( \dfrac{dA}{dt}) \implies \dfrac{450-2A}{1125}[/tex]
[tex]\dfrac{dA'}{dA} \implies 0 \\ \\ \\ A = 225[/tex]
3(x-5)=6 What is the answer?
Step-by-step explanation:
3(x - 5) = 6
x - 5 = 2 (divide 3 on both sides)
x = 7 (add 5 on both sides)
The solution is x = 7.
3(x-5)=6
multiply 3 by x and -5
3x-15=6
add 15 on each side
it cancels out on the left nd on the right u get 21
so it would be
3x=21
divide by 3 on each side
X=7
Check:
3(7-5)=6
3(2)=6
6=6
The difference between a number and seven
Answer:
7-n
Step-by-step explanation: do you need an equation?
A certain drug doseage calls for 460mg per kg per day and is divided into four doses(1 every 6 hours). If a person weighs 229 pounds, how many milligrams of the drug should he receive every 6 hours?
Answer:
11943.31 mg
Step-by-step explanation:
460mg a day per kilo of weight, 4 doses for that total amount
460/4=115mg per kilo per dose
1 kilo = 2.205 pounds
115/2.205=52.15 approx mg per pound per dose
52.15*229=11943.31 approx, which is how much per dose
uwu
When playing Yahtzee, I can roll 1 die and I need to roll a 2. What are my chances?
Answer:
Step-by-step explanation:
There are five dice, so whatever the first die rolls there is a 1/6 chance that the second die is the same number. If that occurs, there's a 1/6 chance that the third die is the same, ditto the fourth and the fifth. So probability of Yahztee in one roll is 1/6 x 1/6 x 1/6 x 1/6 = 1/1296.
Answer:
A 60% chance
Step-by-step explanation:
finish this question fast
Answer:
B. -3d + 47.25
Step-by-step explanation:
Each of them has $15.75
Each spent $d
Amount each still has = 15.75 - d
Therefore, total amount the 3 of them has = 3(15.75 - d) = 3*15.75 - 3*d
= 47.25 - 3d
Which is also am equivalent of -3d + 47.25
A. Associative Property of Multiplication B. Associative Property of Addition
C. Commutative Property of Addition
D. Distributive Property of Multiplication
Which of the following does not show the Commutative Property of Addition?
A. 8 + x = x8
B 3x + 4y 4y + 3x
C. abba
D abba
Answer:
no sé carnal
Step-by-step explanation:
no sé eeeeeerrrrrrrree3eee
Hi, I need help please!!!!!
Answer:
210 minutes
Step-by-step explanation:
First, we want to find out how many meters cubed of water there is, which is the volume.
The volume of this prism would be, the average of the two sides multiplied by 2 and 1.
1.5+0.6 = 2.1
2.1/2 = 1.05
1.05*2=2.1
2.1*1=2.1
2.1 meters is the volume but because it goes down by 30 cm, we have to convert 2.1 to cm.
2.1 * 100 = 210 cm.
Every 30 minutes, it goes down by 30 cm so:
210/30 = 7
210 minutes until it's empty
how much is 6x x 3y? Plz help
Answer:
18xy
Step-by-step explanation:
Just multiply the coefficients and then put both the variables at the end.
PLEASE ANSWER FAST
Evaluate ab^2-4 divided by 10 when a=4 b=6
Answer:
Step-by-step explanation:
((a)(b)^2 - 4)/10
((4)(6)^2 - 4)/10
((4)(36)-4))/10
(144-4)/10
140/10
14
How can we write 1000 as a multiple of 10?How can we write 1000 as a multiple of 10?
Answer:
10 x 10 x 10
Step-by-step explanation:
Or just add zeros
Kinda confused by the question tho
Answer:
Hmm, ok so-
Step-by-step explanation:
10 x what equals 1000-
Just think.
10 x 100 = 1000
can you solve this equation?
-12 2/3 + 2 1/3
Answer:
-7.333
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
Whoever solves gets brainlist
ameliaswan
Answer:
13 < y + x < 32
Step-by-step explanation:
x in (8,10) and y in (5,22) implies x + y in (8+5,10+22) = (13,32) so 13 < y + x < 32.
Answer:
14 < y+x < 31
Step-by-step explanation:
x = 9
y could be any number from 6 to 21
5+9 < y + x < 22+9
14 < y+x < 31
A cash register contains only five dollar and ten dollar bills. It contains three times as many five dollar bills as ten dollar bills and the total amount of
money in the cash register is $950. How many ten dollar bills are in the cash register?
Answer:
38
Step-by-step explanation:
Let x be the number of ten dollar
Number of five dollar=3x
Total amount of money in the cash register=$950
We have to find the number of ten dollar bill in the cash register.
According to question
[tex]5\times (3x)+10x=950[/tex]
[tex]15x+10x=950[/tex]
[tex]25x=950[/tex]
[tex]x=\frac{950}{25}[/tex]
[tex]x=38[/tex]
Hence, number of ten dollar bills in the cash register=38
I need help ASAP with both
Answer:
No for the first one, yes for the second.
Step-by-step explanation:
Plug in the given numbers and see if it works.
15(1) + 3(4) = 10
15 + 12 = 10.
27 ≠ 10
Since 27 does not equal 10, we can already see that solution (1,4) will not work for these equations.
Now for the second problem, do the same thing.
10 = 1 + 9.
This is true, but remember to check the second equation just to be sure.
10 = 4(1) + 6
10 = 4 + 6
This is also true, so it (1,10) is a solution for the second system of equations.
Among the following correct statement is
a) The number of ways of expressing 36 as a product of two facrors is 4
b) The sum of odd divisors of 18 is 13 c) 220 and 274 are amicable numbers
d) G.C.D of 100, 25 is 1
Answer:
Step-by-step explanation:
a) False. There are three factor pairs for 36:
1×36
2×18
3×12
4×9
6×6
b) True.
18 = 2×3²
Odd divisors of 18: 1, 3, 9
1+3+9 = 13
c) False
100 = 2×5²
25 = 5²
Greatest common divisor = 25
Type the correct answer in each box. Use numerals instead of words.
Answer:
4 Blue chips
6 Yellow chips
10 Red chips
Imagine 20% as 2 of 10. We have 20 chips, and that's double of that. So if we have 2/10... we will have 4/20
Same with the yellow chips. Imagine 30% as 3 of 10, again double that... 6/20.
It doesn't directly say the percent of design a computer representation but we can infer that if we have 20% and 30%... that makes 50%, there is only 100 in a percent, so that means there is 50% left! We repeat the process where we envision 50% as 5 of 10, double that. Now we have 10 of 20, 50%!
Please help, its due soon
Old Faithful is a geyser in Yellowstone National Park that erupts according to an arithmetic sequence. The eruptions generally happen in 46 minute intervals with a constant difference of 12 minutes. Suppose that you are in the park and you know the last eruption was at 12:22 p.m. That eruption was the 4th eruption of the day. About when can you expect the geyser to erupt again? Explain.
Answer:
1:10 AM
Step-by-step explanation:
The 4th eruption of the day as at 12:22 PM. And since the time between each eruption gets 12 minutes added, the next eruption is going to happen in 48 minutes, which is at 1:10 AM. After that eruption, the time will reset and the next eruption will happen at 1:22 AM
A standard deviation of 10 values is 8.19. You add 5 points to each score in the sample. The standard deviation for the new sample is:
Answer:
8.19
Step-by-step explanation:
Adding 5 points to each score in the sample has no effect on the standard deviation. The standard deviation remains the same and constant.
Therefore, the standard deviation for the new sample is 8.19
You can use the fact that standard deviation is a measure of variation.
The standard deviation of the new sample will be same as the old standard deviation, which is 8.19
What does standard deviation measure?Standard deviation measures how much the data points vary or disperse from the mean of the data.
The standard deviation is calculated as:
[tex]\sigma = \sqrt{\dfrac{\sum (\overline{x} - x_i)}{n}[/tex]
How to know the standard deviation of the new sample if each score was increased by 5 points?Since each score was increased by 5 points, we have the mean increased by 5 point too
[tex]\overline{x} = \dfrac{1}{n}\sum(x_i) \\\\x_i -> x_i + 5\\\\\overline{x} = \dfrac{1}{n}\sum(x_i + 5) = \dfrac{5n}{n} + \dfrac{1}{n}\sum(x_i) = 5 + \dfrac{1}{n}\sum(x_i)[/tex]
Putting new mean and new values in the standard deviation formula, we get:
[tex]\sigma = \sqrt{\dfrac{\sum (\overline{x} + 5 - x_i - 5)^2}{n}} = \sqrt{\dfrac{\sum (\overline{x} - x_i)}{n}\\[/tex]
Thus, standard deviation won't change and will stay same as before.
Thus,
The standard deviation of the new sample will be same as the old standard deviation, which is 8.19
Learn more about standard deviation here;
https://brainly.com/question/5916717
Another one he doesn't think I'm right on.
A. 8 is the answer
If the triangles are similar then their sides need to be in the same ratio. So, if 22 become 11, then the ratio is 2:1. So, for 16 it becomes 8.
Answer:
x = 8
Step-by-step explanation:
22/16 = 11/x
x = 11 . 16/22
x = 8
Diego and other farmers harvested tomatoes for barangay's gulayan day. they were able to fill 56.5 kaings each weighing 18.75 kilograms
1. About how many kilograms of tomatoes were harvested for the gulayan day?
2. if they would sell the tomatoes for 24.25 a kilo,
a. by how much would they get for one kaing?
b. by how much would they get for all the tomatoes?
3. A businessman bought all the tomatoes, but will was given 1.5 kilograms free for each kaing. About how much would he pay?
Number 1
56.5 kaings each weighing 18.75 kilograms
56.5 × 18.75 = 1059.375 kilograms
Answer : 1059.375 kilograms
Number 2 (A)
$24.25 a kilo and 18.75 kilograms for one kaings
18.75 × $24.25 = $454.6875
Answer : $454.69
Number 2 (B)
$24.25 a kilo and 1059.375 kilograms
1059.375 × $24.25 = 25 689.84
Answer : $25 689.84
Number 3
1.5 kilograms free for each kaing
18.75 - 1.5 = 17.25 kg
17.25 kg × 56.5 kaings × $18 247.21875
Answer : $18 247.22
which algebraic expression are equivalent to the phrase a number increased by 0.25 select all that apply
Answer:
number increased by ten. ... y = x + 0.25.
Step-by-step explanation:
Mis Brown graded 84 papers. If the ratio of science papers to math papers is 2:10 how many math papers did she grade?
Answer:
70
Step-by-step explanation:
2 + 10 = 12
84 ÷ 12 = 7
7 x 10 = 70
She graded 70 maths papers and 14 science papers.
Find the value of x.
Use the Pythagorean theorem:
x = SQRT(33^2 + 56^2)
x = sqrt(1089 + 3136)
x - sqrt(4225)
x = 65
Answer:
65
Step-by-step explanation:
56²+33²=X²
√(56²+33²)=X
X=65
Is (3, 7) a solution to the equation y = 2x – 4? yes or no Submit
Answer:
(3, 7) is not a solution.
Step-by-step explanation:
In this question, we have to find out if the point (3, 7) is a solution to the equation.
To find your answer, you would plug in the coordinate into the equation and solve.
Solve:
y = 2x - 4
Plug in coordinate.
7 = 2(3) - 4
7 = 6 - 4
7 ≠ 2
Since both sides are not equal to each other, this makes the statement false. Therefore, (3, 7) is not a solution.
Your answer would be (3, 7) is not a solution.