Answer:
Let O be the common center of two concentric circles and let AB be a chord of larger circle touching the smaller circle at P join OP
Since OP is the radius of the smaller circle to any chrod of the circle bisects the chord.
∴ AP=BP
In right ΔAPO we have
OA
2
=AP
2
+OP
2
⇒25−9=AP
2
⇒AP
2
=16⇒AP=4
Now AB=2,AP=2×4=8[∵AP=PB]
hence the length of the chord of the larger circle which touches the smaller circle is 8cm.
Step-by-step explanation:
Help me with this!!! PLEASEEEEEEEEEEEEEEEEEEEE…………
A grocery store sells steak for $6.10 per pound. What would be the cost of 2 3/5 lb. of steak?
Answer:
$15.86
Step-by-step explanation:
Make 2 3/5 improper fraction (5 times 2 and add 3 equals 13)
13/5 times 6.1 ( or 6 1/10 or 61/10)
equals 793/50
divide
answer is 15.86
Laura is going to invest in a business. There is a 50% chance that she will make $8000, a 40% chance that she will lose $4000, and a 10% chance that she will break even (make $0). What is the expected value for Laura's investment?
Based on the various probabilities of outcomes, the expected value of the investment is $2,400
The expected value can be calculated as:
= ∑ (Probability of event happening x Payoff if event happens)
The expected value here is therefore:
= (50% x 8,000) + (40% x -4,000) + (10% x 0)
= $2,400
In conclusion, the expected value is $2,400.
Find out more at https://brainly.com/question/13412627.
pls someone help if you do all 3 i'll give you brainliest
Work out the area of a rectangle with base, b = 32mm and perimeter, P = 82mm.
Hey there! I attached a pic of how to solve this. Hope it helps!
2. Solve for x.
28
2x + 8
82
5x - 4
Solution of Problem 1:
2x + 8 = 28=> 2x = 28 - 8=> 2x = 20=> x = 10Solution of Problem 2:
82 = 5x - 4=> 82 + 4 = 5x=> 86 = 5x => x = 86/5=> x = 17.2Therefore:
Answer of Problem 1: x = 10Answer of Problem 2: x = 17.2Hoped this helped.
[tex]BrainiacUser1357[/tex]
The 250 gallons of maple sap will be
boiled until only 3% of its original
volume is left. How many gallons are
left?
Answer:
7.5 gallons
Step-by-step explanation:
3 x 250/100
= 7.5
Can someone please take the time out of day to help me with this
Answer:
a. 54, b. 117, c. 63
Step-by-step explanation:
a. Angle 11 is corresponding to angle 1, which is linear to angle 2, which is 126 degrees. So angle 11 is 180 - 126 = 54 degrees
b. Angle 8 corresponds to angle 14, which is 117 degrees.
c. Angle 7 is linear to angle 8, so it is 180 - 117 = 63 degrees
Answer:
a or <11 is 54 degrees, b or <8 is 117 degrees, c or <7 is 63 degrees
Step-by-step explanation:
A. <2 = <12, <12 + <11 = 180, 180 - 126 = 54
B. <14 = <8, 117 = 117
C. <7 + <8 = 180, 180 - 117 = 63
The lengths of 3-inch nails manufactured on a machine are normally distributed with a mean of 3.0 inches and a standard deviation of .009 inch. The nails that are either shorter than 2.98 inches or longer are than 3.02 inches are unusable. What percentage of all the nails produced by this machine are unusable?
Using the normal distribution, it is found that 2.64% of all the nails produced by this machine are unusable.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 3 inches, hence [tex]\mu = 3[/tex].The standard deviation is of 0.009 inches, hence [tex]\sigma = 0.009[/tex].Nails that are more than 0.02 inches from the mean are unusable, hence:
[tex]Z = \frac{0.02}{\sigma}[/tex]
[tex]Z = \frac{0.02}{0.009}[/tex]
[tex]Z = 2.22[/tex]
The proportion is P(|Z| > 2.22), which is 2 multiplied by the p-value of Z = -2.22.
Z = -2.22 has a p-value of 0.0132.
2 x 0.0132 = 0.0264
0.0264 x 100% = 2.64%
2.64% of all the nails produced by this machine are unusable.
You can learn more about the normal distribution at https://brainly.com/question/24663213
what is 3√-1 square root
Answer:
3
Step-by-step explanation:
3√-1 = √9*-1= √-9 = 3 bcuase its always positive
A swimming pool already contains
a small amount of water when you start filling it at a
constant rate. The pool contains 45 gallons of water after
5 minutes and 120 gallons after 30 minutes. Find the
average rate of change and use it to write a linear model
that relates the amount of water in the pool to the time.
Answer:
Rate of change = 3 gallons/minute
Starting volume = 30 gallons
Step-by-step explanation:
A graph of the pool's water level would be useful. The slope of the line would represent the rate of change for filling the pool. It will also help us determine the amount of water that was in the pool to start. Although it is tempting to say the rate of fill is 45gallons/5 minutes, or 9 gallons/minute, it is not correct. The pool already started with an unknown volume of water. The rate of change after 5 minutes, however, can be used. The problem states it is being added at a constant rate. Let's find an equation for a line, in the format of y=mx+b, where m is the slope (rate of change) and b is the y-intercept.
We'll let y represent the volume of water in the pool, and x will be the time in minutes. The y-intercept will give us the amount of water in the pool at the start (x = 0).
The slope can be determined between the two given points:
(5,45) and (30,120):
Slope = Rise/Run [The change in y divided by the change in x].
Rise = (120 - 45) = 75
Run = (30-5) = 25
Slope = 75/25 or 3
The line, so far, becomes y=3x + b
The slope of 3 has units of gallons/minute. It is the rate at which the pool is being filled.
We can find b, the starting volume of water, by using one of the two points in the equation and solving for b:
y=3x + b [I'll use (5,45)]
45 = 3*(5) + b
b = 30 gallons
The pool had 30 gallons to start (at x = 0(minutes))
See the graph of the line, attached.
Solve the system using elimination.
x − 4y = 4
3x − 4y = −12
A. (−2,112)
B. (−8,−3)
C. (−8,9)
D. (−2,−112)
Answer:
B. (-3,-8)
Step-by-step explanation:
I have aced tests on these. You can trust this is correct - plus it's verified by a calculator.
Answer:
B
Step-by-step explanation:
x - 4y = 4 → (1)
3x - 4y = - 12 → (2)
Multiplying (1) by - 1 and adding to (2) will eliminate the y- term
- x + 4y = - 4 → (3)
Add (2) and (3) term by term to eliminate y
2x + 0 = - 16
2x = - 16 ( divide both sides by 2 )
x = - 8
Substitute x = - 8 into either of the 2 equations and solve for y
Substituting into (1)
- 8 - 4y = 4 ( add 8 to both sides )
- 4y = 12 ( divide both sides by - 4 )
y = - 3
solution is (- 8, - 3 ) → B
Sierra left $17.75 as a tip for a waiter. This was 20% of the bill before the tip. How much was her total bill before the tip
Answer:
$31.95 Before tip.
Step-by-step explanation:
I believe you should just add 17.75+80%=31.95
What is the domain of f(x) = (x + 2)2 – 1?
Simplify
[tex]\\ \tt\Rrightarrow f(x)=(x+2)^2-1[/tex]
[tex]\\ \tt\Rrightarrow f(x)=x^2+4x+2-1[/tex]
[tex]\\ \tt\Rrightarrow f(x)=x^2+4x+1[/tex]
The Domain is set of all real numbers
[tex]\\ \tt\Rrightarrow Domain\in R[/tex]
Darla ran 1/2 mile. Laura ran 5/8 mile. How many miles did they run altogether?
Answer:
1 1/8 mile
Step-by-step explanation:
when it says altogether most of the time you're supposed to add.
When you add fractions you need to have both denominator (number below the line) be the same. and sense 1/2 and 4/8 are equal we will replace it.
you add the numerators (top numbers) and keep the denominator (bottom number)
[tex]\frac{4}{8} + \frac{5}{8} = \frac{9}{8} =1\frac{1}{8}[/tex]
Sense the numerator is bigger you subtract the bottom number from the top number and put a 1 in front of the fraction.
how many days would it take for a tiger to eat a boar
I would appreciate if some would help me w 13 ^^ ty
I didn't pay attention to day
Answer:
%2.9
Step-by-step explanation:
Step-by-step explanation:
please complete your question
(ANSWER QUICK!!!) Put the following values in order from least
to greatest.
20, 2-2, (-2)2, -22
Answer:
-22,(-2)2,2-2,20
Step-by-step explanation:
(-2)2=-4
2-2=0
-22,-4,0,20
Answer:
-22,(-2)2,2-2,-20
Step-by-step explanation:
In(3x-1)+4 i don't know the answer
Answer:3x+5
Step-by-step explanation:
Answer:
In(3xe^4 - e^4)
Step-by-step explanation:
In(3x-1)+4
convert the constant to a log with base e:
In(3x-1) + In(e^4)
Simplify the expression:
In((3x-1)e^4)
Remove the parentheses:
In(3xe^4 - e^4)
Hope it help !
PLZ HELPPP
Use the distributive property to fill in the blanks below.
Answer:
4 - 3
Step-by-step explanation:
fill in the blanks with the numbers you have left. you dont need the 5 since its already there :D
Two systems of equations are shown: System A System B 6x + y = 2 2x − 3y = −10 −x − y = −3 −x − y = −3 Which of the following statements is correct about the two systems of equations? The value of x for System B will be 4 less than the value of x for System A because the coefficient of x in the first equation of System B is 4 less than the coefficient of x in the first equation of System A. They will have the same solution because the first equations of both the systems have the same graph. They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 4 times the second equation of System A. The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding −4 to the first equation of System A and the second equations are identical.
Answer:
well i dont know this sorry
Step-by-step explanation:
Compare: The graphs below show the number of points you earn in each level of a game. Which games, if any, have a proportional relationship between the number of points you earn and the level of 7the game? In which game can you earn the most points in level 2? Explain your answer.
Answer:
Ok A and C are both proportional because it goes through the origin.
Step-by-step explanation:
If the line doesn't start or go through the origin will not be proportional. So If the line went through or started from the origin will be proportional. Which leaves B as Non-proportional graph.
Carson rides his bike for 30 mins each day he rides a total of 12 miles every 3 days how many days will it take to ride a total of 80 miles
Answer:
20 days
Step-by-step explanation:
If he rides 12 miles every 3 days, then he rides 4 miles in one day. Divide 80 / 4 and you get 20 days.
Help find initial value for graph PLSSSSSS the dotted points are (0,8) and (16,20)
Answer:8
Step-by-step explanation:
The initial value, or y-intercept, is the output value when the input of a linear function is zero, as you've already pointed out, the function crosses the y- axis at (0,8)
can someone please help me i need to show the working out too
Answer:
(1) x=15/2
(2) x=1
Step-by-step explanation:
(1) 4x−1 /2 =x+7
2x+ −1 /2 =x+7(Distribute)
2x+ −1 /2 =x+7
Step 2: Subtract x from both sides.
2x+ −1 /2 −x=x+7−x
x+ −1 /2 =7
Step 3: Add 1/2 to both sides.
x+ −1 /2 + 1 /2 =7+ 1 /2
x= 15 /2
(2) 3x+2=( 2x+13)/ 3
3x+2= 2 /3 x+ 13 /3 (Distribute)
3x+2= 2 /3 x+ 13 /3
Step 2: Subtract 2/3x from both sides.
3x+2− 2 /3 x= 2 /3 x+ 13 /3 − 2 /3 x
7 /3 x+2= 13 /3
Step 3: Subtract 2 from both sides.
7 /3 x+2−2= 13 /3 −2
7 /3 x= 7 /3
Step 4: Multiply both sides by 3/7.
( 3 /7 )*( 7 /3 x)=( 3 /7 )*( 7 /3 )
X=1
a breakfast cereal advertizes that it has 5g of fibre in every 30g serving. How much fibre would someone receive if he or she ate a 50g serving of that cereal?
Answer:
8.33... grams of fiber
Step-by-step explanation:
The grams per serving is 5/30 or 1/6 or .166... or 16.66...%.
So Fiber = 16.66% * serving size or
F = 16.66 * 50 = 8.33...
Write an equation of the line passes through (4,1) and is parallel to y=-2x+7 .
Evaluate 4+(m-n)^4 when m =7 and n = 5
Answer:
20.
Step-by-step explanation:
Plugging m = 7 and n = 5 into the given expression:
Answer = 4 + (7 - 5)^4
= 4 + 2^4
= 4 + 16
= 20.
Hii I would love if anyone would be able to give me the answer to this <3
Answer:
×=40
Step-by-step explanation:
The total value of all the angles on any line is 180
so x+(4x-20)=180
40+(4×40-20)=180
Answer:
40°
Step-by-step explanation:
The sum of angles x and (4x - 20) is 180°
x + (4x - 20) = 180
5x = 200
x = 40°