4×4=16
3×3=9
16+9=25
[tex] \sqrt{25} [/tex]
=5
ans =5
What is the length of the arc shown in red?
Answer:
≈ 18.8 cm
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
The central angle is equal to the arc subtending it, that is 60°
arc = 2πr × [tex]\frac{60}{360}[/tex]
= 2π × 18 × [tex]\frac{1}{6}[/tex]
= 36π × [tex]\frac{1}{6}[/tex]
= 6π ≈ 18.8 cm ( to 1 dec. place )
If (X+2,4) and (5,y-1 are equal ordered pairs ,Find the value of X and y
Answer:
x = 3, y = 5
Step-by-step explanation:
Since the ordered pairs are equal, then equate the x and y coordinates
x + 2 = 5 ( subtract 2 from both sides )
x = 3
y - 1 = 4 ( add 1 to both sides )
y = 5
Simplify the expression by combining like terms: 6(4x) + 8(5y) - 21 + 63- 3(5x) - 12y + 18 - 7(3x)
A 98% confidence interval for a proportion is found to be (0.47, 0.53). What is
the sample proportion?
A. 0.53
B. 0.51
C. 0.49
D. 0.50
Answer:
0.50
Step-by-step explanation:
The sample proportion to be found for 98% confidence interval is
D. 0.50.
What is a confidence interval?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval.
Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.
In statistics, confidence is another word for probability.
Given, Sample = (0.47, 0.53).
Confidence interval = 98%.
Therefore, The sample proportion is,
= (0.47 + 0.53)/2.
= 1/2.
= 0.5.
So, The sample proportion is 0.50.
learn more about confidence intervals here :
https://brainly.com/question/24131141
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Carla and Deserea bought a dozen cookies from the bakery. Carla ate ¼ of the cookies and Deserea ate ½ of the cookies. Who ate the most?
Answer:
Deserea ate more
Step-by-step explanation:
One dozen equals 12
Carla ate 1/4 of it
1/4×12/1=3
Carla ate 3 cookies
Deserea ate 1/2
1/2×12/1=6
Deserea ate 6
6 is greater than 3 so Deserea ate more
Brittany uses the ski machine and the treadmill at the gym for an exercise program. Her trainer wants her on an exercise program that meets these two conditions:
1) Brittany will exercise for at least 45 minutes and at most 1 hour and 15 minutes,
dividing her time between the ski machine and the treadmill.
2) Brittany will spend at least three times as much time on the treadmill as on the
ski machine.
a. Let x represent the time on the ski machine and y represent the time on the
treadmill. Write a system of inequalities that models the relationships between the
amounts of time Brittany spends on the two machines. You will have three
inequalities.
Answer:
Required inequalities are as following.
Brittany will exercise for at least 45 minutes:
x + y ≥ 45Brittany will exercise at most 1 hour and 15 minutes (= 75 min):
x + y ≤ 75Brittany will spend at least three times as much time on the treadmill as on the ski machine:
y ≥ 3xAnswer:
[tex]x + y = 5 \\ 5 \times 5 = 25[/tex]
Which expression is equivalent to the one below? 6÷9 A. 9.1/6 B. 6.1/9 C. 54 D. 9/6
Answer:
None
Step-by-step explanation:
6÷9=0.666...
9.1÷6=1.5166..
6.1÷9=0.6777...
54 is 54
9÷6=1.5
So none are equal
Answer:
the answer is 6 × 1/9
Step-by-step explanation:
6÷ 9 = 0.666
9 × 1/6 = 1 1/2
6 × 1/9 = 2/3 same as 0.666
54 = 54
9/6 = 1.5
AADE and AABC are similar. Which best explains why the slope of the line between
points A and D is the same as the slope between points A and B?
The triangles are similar, so the sides are proportional:
AE = AC and DE = BC. Therefore, De = BC, so the slope of
AD is the same as the slope of AB.
Points A, D and B are on the hypotenuses of similar triangles.
Therefore, AD = AB, so the slope of AD is the same as the
slope of AB
The triangles are similar, so the sides are proportional:
DE = BC. Therefore, the slope of AD is the same as the slope
of AB
AE C
The triangles are similar, so the sides have equal lengths.
Therefore, AD = DB, so the slope of AD is the same as the
slope of AB
Answer:
(c) The triangles are similar, so the sides are proportional: DE = BC. Therefore, the slope of AD is the same as the slope of AB
Step-by-step explanation:
Given
See attachment for proper format of question
Required
Why is the slope between A and D the same
From the question, we understand that:
[tex]\triangle ADE[/tex] and [tex]\triangle ABC[/tex] are similar
This implies that similar sides are proportional.
i.e.
[tex]AD \to AB[/tex]
[tex]AE \to AC[/tex]
[tex]DE \to BC[/tex]
Slope (m) is calculated as:
[tex]m = \frac{Rise}{Run}[/tex]
So, the slope of [tex]\triangle ADE[/tex] is:
[tex]m = \frac{DE}{AE}[/tex]
Slope of [tex]\triangle ABC[/tex] is:
[tex]m = \frac{BC}{AC}[/tex]
Since the triangles are similar, then:
[tex]m = m[/tex]
i.e.
[tex]\frac{DE}{AE} = \frac{BC}{AC}[/tex]
Hence, (c) is true
100 points and its ez just in class and need help
Answer:
Slope: 3, Y-intercept: 8
Step-by-step explanation:
=> Slope: Change in y / Change in x
Change in y = +6
Change in x = +2
Slope = 6 / 2
Slope = 3
=> A value of y in the data set where x = 0
Y-intercept: 8
Hope this helps!
Answer:
you can mark jadedmulan as brainliest.
yeah please help me I’ll give brainliest if correct
Answer:
p=20
6p=120
Step-by-step explanation:
Answer:
A: 6p = 120
Solution:
6 / p = 120 / 6
p = 20
dont forget to five-star and heart! ;)
A 5-kilogram bag of cement costs $18.15. What is the unit price?
Answer:3.63
Step-by-step explanation:because if we divide 18.15 by 5 is equal 3.63.
Factor the following:
x^2 - 9
Answer:
(x + 3)(x - 3)
Step-by-step explanation:
[tex] {x}^{2} - 9 \\ = {x}^{2} - {3}^{2} \\ = (x + 3)(x - 3)[/tex]
Similar figures have the same ________ but not necessarily the same size.
Answer:
Two figures are similar if they have the same SHAPE but not necessarily the same size.
Jan says that a rhombus is a parallelogram and that every parallelogram is also a rhombus. Is Jan correct?
Answer:
No
Step-by-step explanation:
A parallelogram has opposite sides parallel and equal in length. Also, opposite angles are equal. Squares, rectangles, and rhombuses are all parallelograms. So all parallelograms are not rhombuses.
It used to take Andie 45 seconds to swim 50 meters. Now she swims the same distance in 35 seconds. What is the percent increase in her speed rounded to the nearest whole percent.
Answer: 28.8%
Step-by-step explanation:
First find out what her speed is:
Speed = Distance / Time
= 50 / 45
= 1.11 meters/second
Now her speed is:
= 50 / 35
= 1.43 meters/ second
The percentage increase in her speed is:
= (New speed - Old speed) / Old speed
= (1.43 - 1.11) / 1.11
= 0.288
= 28.8%
(add. write your answer as a fraction, as a whole or as a mixed number)
PLEASE HELP . WILL GIVE BRAINLIEST !
Answer:
the answer is 101/9, in fraction it would be 11.2222..... in whole number would be 11, as mixed number would be 11 2/9
2w^2 - 15w + 19 = 0
Quadratic Formula
Answer:
x=5.886 , x=1.614
Step-by-step explanation:
Given data
2w^2 - 15w + 19 = 0
a= 2
b= -15
c= 19
The expression for the Quadratic Formula is
x=(-b±√(b²-4ac))/(2a)
substitute
x=(-(-15)±√((-15)²-4*2*19))/(2*2)
x=(15±√225-152))/(4)
x=(15±√73))/(4)
x=(15±8.544))/(4)
x=(15+8.544))/(4) , x=(15-8.544))/(4)
x=23.544/4 , x=6.456/4
x=5.886 , x=1.614
Solve for the missing angle:
Answer:
47
Step-by-step explanation:
they are corresponding
what is the average rate of change of the population between 1930 and 1950? show your reasoning?
Answer:
The average rate of change is: 0.25
Step-by-step explanation:
Given
See attachment for graph
Required
The average rate of change between 1930 and 1950
Average rate of change (m) is calculated as:
[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]
In this case,
[tex][a,b] = [1930,1950][/tex]
So, we have:
[tex]m = \frac{f(1950) - f(1930)}{1950 - 1930}[/tex]
[tex]m = \frac{f(1950) - f(1930)}{20}[/tex]
From the attached graph;
[tex]f(1950) = 45[/tex]
[tex]f(1930) = 40[/tex]
So, we have:
[tex]m = \frac{45- 40}{20}[/tex]
[tex]m = \frac{5}{20}[/tex]
[tex]m = 0.25[/tex]
The graph shows the quadratic function f(x).
What is the average rate of change for the quadratic function from x = 6 to x = 8?
Enter your answer in the box.
Answer:
-1
Step-by-step explanation:
at x = 6
y = 6
point (6, 6)
at x = 8
y = 4
point (8, 4)
From (6, 6) to (8, 4)
∆y = 4 - 6 = -2
∆x = 8 - 6 = 2
ave rate change = -2/2 = -1
Answer:
What is the average rate of change for the quadratic function from x = 6 to x = 8?
Enter your answer in the box.
Answer is -1 Took the test
Step-by-step explanation:
What is the value of three to the fourth power?
Determine whether the point (-3,-6) is in the solution set of the system of inequalities below
y5/3x+2
A) There isn't enough information given
B) The point (-3,-6) is not in the solution sei.
C)The point (-3-6) is in the solution set.
D) The point (-3,-6) is in the solution set under certain conditions.
Answer:
A
Step-by-step explanation:
There isnt enough information given.
Hope it helps u
Please mark as the brainliest
You and a friend are playing a game of chance. Every time you roll (using a fair die) a 1, 2, 3, or 4, you are successful, and your friend will pay you $1. Every time you roll a 5 or 6, you must pay your friend $2. If 65% of your rolls are successful and 35% of your rolls are unsuccessful, how much money do you expect to have won/owe by the end of the game?
You owe 41 cents
You have won 5 cents
You owe 5 cents
You have won 41 cents
Answer:
you owe $5
Step-by-step explanation:
65% wins means $65
35% losses means -$70
Answer:
You owe 5 cents.
Step-by-step explanation:
(the amount of money won)(the number of successful rolls)+(the amount of money lost)(the number of unsuccessful rolls)=expected value
65% of rolls are successful which means that 13/20 of the rolls are successful (simply convert to a fraction).
35% of the rolls are unsuccessful which means that 7/20 of the rolls are unsuccessful.
Using the equation above we can use,
(1)(13/20)+(-2)(7/20)
to find the expected value.
(1)(13/20)+(-2)(7/20)=0.05
Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution. Find the percent concentration of the first solution. (a) 70% (b) 61% (c) 69% (d) 67%
Answer:
67%
Step-by-step explanation:
Let the percentage of the first solution = x
7 gallons + 4 gallons = 11 gallons
Our system of equation is
Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution.
7 gallons × x % + 4 gallons × 80% = 72% × 11 gallons
= 7x + 3.2 = 7.92
Collect like terms
7x = 7.92 - 3.2
7x = 4.72
x = 4.72/7
x = 0.6742857143
Converting to percentage
0.6742857143 × 100
= 67.42857143%
Approximately, the percent concentration of the first solution is 67%
What is the value of y-x?
A. 20
B. 30
C. 45
Please help
Thanks I really need help and appreciate it
Answer:
umm can you tell us the options then I can say what the answer is and I'll edit or put it in the comments
Step-by-step explanation:
have a good rest of your day tho :) ❤
Alyssa is getting gas for her car. Her car's 15-gallon tank has 15 of a tank of gas left. If gas costs $2.699 per gallon, how much will she pay for gas, rounded to the nearest cent?
Answer: $32.39
Step-by-step explanation:
The car's tank has a capacity of 15 gallons and has only 1/5 of a tank left which means that the quantity left is:
= 1/5 * 15
= 3 gallons
If Ayssa is going to fill up the tank, the number of gallons needed is:
= 15 - 3
= 12 gallons
Gas is $2.699 per gallon so cost is:
= 12 * 2.699
= $32.39
Find x.
A. 4/6
B. 6
c. 4√3
D.3/2
3/10 divided divided by 6 =
Answer:
.05 or 1/20
Step-by-step explanation:
If you meant 3/10 divided by 6 then the answer is .05 aka 1/20
May I have brainliest if this helped you?
Hope this helped!!
Bella was here :)
You either meant the fraction 3/10 by 6 or 3 divided 10 divided by 6
Since I am not sure which one, I will do the work for both
1. 3/10 / 6
Convert 6 into a fraction
6 = 5 10/10
5 10/10=50/10
3/10 / 50/10
3/10 * 10/50 = 30/500
30/500= 3/50
3/50
2. 3 divided by 10 divided by 6
3 divided by 10 = 0.3
0.3 divided by 6 = 0.05
0.05
Hope this helps
ON CYLINDERS PLEASE HELP DUE IN 15 MIN
Answer:
4.13
Step-by-step explanation:
good luck