Answers
Answer:
Step-by-step explanation:
Since we are to show by Pythagoras that the square will fit inside the circle without touching the edge of the circle , this means that we must find the value of the length of the diagonal of the square using Pythagoras.
For the square to fit in without touching the edge of the circle , this means that the diagonal of the square must be less than the diameter of the circle.
Length of the square is 5cm.
Recall Pythagoras theorem: it states that
the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides
= +
= 25 + 25
= 50
Take the square root of both sides , that is
D =
D = X , since 50 = 25 x 2
D = 5
D ≈ 7.07
Related Questions
A man flies a kite 354 feet in the air when he runs out of string, what is the angle of elevation if he had 200 yards of string to begin with
Answers
Answer:
Step-by-step explanation:
Assuming the string is straight (it will not be so due to gravity and wind load)
θ arcsin(354 / (200(3)) = 36°
Fran has a monthly income of $2940, and budgets 9% of that amount for groceries.
How much money does she budget for groceries each month?
State your answer in terms of dollars, rounded to the nearest whole dollar.
Answers
Answer: $265
Step-by-step explanation: Fran has a monthly income of $2940, and she budgets 9% of it for groceries. 9% of $2940 is $265 dollars.
Hope this helps!
On a particular stretch of highway, the State Police know that the average speed is 62 mph with a standard deviation of 5 mph. On a busy holiday weekend, the police are concerned that people travel too fast. So they randomly monitor speeds of a sample of 50 cars and record an average speed of 66 mph. Use central limit theorem to calculate
Answers
Using the normal distribution and the central limit theorem, it is found that there is a 0% probability of a sample of 50 cars recording an average speed of 66 mph or higher.
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. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 62 mph, hence [tex]\mu = 62[/tex].Standard deviation of 5 mph, hence [tex]\sigma = 5[/tex].Sample of 50 cards, hence [tex]n = 50, s = \frac{5}{\sqrt{50}} = 0.7071[/tex]The probability of a sample of 50 cars recording an average speed of 66 mph or higher is 1 subtracted by the p-value of Z when X = 66, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{66 - 62}{0.7071}[/tex]
[tex]Z = 5.66[/tex]
[tex]Z = 5.66[/tex] has a p-value of 1.
1 - 1 = 0.
There is a 0% probability of a sample of 50 cars recording an average speed of 66 mph or higher.
A similar problem is given at https://brainly.com/question/24663213
Convert (-6, -6) from Cartesian coordinates to polar coordinates. Round the length to the nearest 0.01 Express the
angle in degrees where is between 0 and 360°, and round to the nearest 0.1 degree. Do not enter the degree
symbol in the answer
Answers
9514 1404 393
Answer:
(8.49; 225°)
Step-by-step explanation:
The angle is a 3rd-quadrant angle. The reference angle will be ...
arctan(-6/-6) = 45°
In the 3rd quadrant, the angle is 45° +180° = 225°.
The magnitude of the vector to the point is its distance from the origin:
√((-6)² +(-6)²) = √(6²·2) = 6√2 ≈ 8.4859 ≈ 8.49
The polar coordinates can be written as (8.49; 225°).
_____
Additional comment
My preferred form for the polar coordinates is 8.49∠225°. Most authors use some sort of notation with parentheses. If parentheses are used, I prefer a semicolon between the coordinate values so they don't get confused with an (x, y) ordered pair that uses a comma. You need to use the coordinate format that is consistent with your curriculum materials.
What is the better buy?
16 oz of goldfish for $4.75
9 oz of goldfish for $2.50
Answers
Answer:
Maybe 9 oz, if I’m wrong sorry! D:
Plot the point (6, 0) on the coordinate plane.
Answers
Answer:
Just go to the 6 on the bottom line, and add a point
Answer:
see below
Step-by-step explanation:
(6,0)
The first coordinate is the x coordinate. Since it is positive we go to the right 6 units. The second coordinate is the y coordinate. We go up zero units
Ln(x)+ln(x+7)=1
solve this log equation
Answers
Solve for x: -2x - 4> 8
X<-6
X> -6
0x<-2
X>-2
Answers
Answer:
x < -6
Step-by-step explanation:
-2x - 4 > 8
the first step is to add 4 to both sides since we need to get x alone on one side
-2x - 4 > 8
+4 +4
so we are left with -2x > 12
we still need to get x alone so we have to divide -2 from both sides
always remember that if you divide by a negative number the inequality flips!! so instead of > it will be <.
-2x/-2 = x
12/-2 = -6
so the answer is x < -6
What is the slope of the line ?
Answers
Answer:
y = -3x + 4
Step-by-step explanation:
Use the slope intercept equation y = mx + b.
b is the y-intercept which is 4 in this equation.
The slope can be found from a graph using rise over run. This graph is decreasing so the slope is negative. Therefore, the slope is -3.
SOLVE THE CORRECT ANSWER!
1.234.45 added to the difference of 89 and 23.765
2. increase 234.57 by the difference of 5.23 and 2.678
3.subtract 68.501 from the sum of 21.54
and 80.27
please paki answer po ng maayos need ko po ng solution
Answers
Step-by-step explanation:
1.
123445+(89-23765)=99769
2.
234.57+(5.23-2.678)=237.122
3
(21.54+ 80.27)-68.501=33.309
4)
4826 Fans attended the
Bears vs. Wildcats footbal game.
The number of Wildcat fans was
250 less than three times the
number of Bear fans in attendance
How many Wildcat fans were at
the game? How many
Bear Fans were there?
Answers
The number of Wildcat fans were at the game is 3557.
The number of bears fans at the game is 1269.
Let:
W = number of wildcats fans at the game
B = number of bears fans at the game.
The total number of fans at the game: W + B = 4826
This equation can be used to represent the number of wildcats fans at the game: W = 3b - 250
Replace for w in the above equation:
3b - 250 + b = 4826
To determine the value of b, take the following steps
Combine and add similar terms
4b = 5076
Divide both sides by 4
b = 1269
To determine the value of w, substitute for b in the first given equation.
W + 1269 = 4826
w = 4826 - 1269
w = 3557
To learn more, please check: brainly.com/question/23589883?referrer=searchResults
You need spoons, cones, and bowls for your store. The spoons come in packs of 100, cones come in packs of 60, and cups come
in packs of 80.
1. How many spoons, cones, and cups will you have if you order 8 packs of each?
2. How many customers will you be able to serve? Will every person need a cup, spoon, and a cone?
3. If you estimate that you will have 1500 customers next week, how would you change your order to make sure everyone can be served?
Answers
Step-by-step explanation:
Number 1
Number of spoons= no of boxes × individual no of spoons
= 100 × 8 = 800 spoons.
Number of cones = no of cones in a box × no of boxes
= 60 × 8 = 480
Number of cup = no of cups in a box × no of boxes
= 80 × 8 = 640.
Total = 800 + 480 + 640 = 1920
Number 2
If everyone needs a cup, spoon and cones, it means they all need 3 items.
no of people you can serve = 1920 ÷ 3
= 640 people.
How much did i paint if i painted 3/4 of 3/4 of a wall
Answers
Answer:
(4) 1/4x = 3/4 (4)
1x=3
Step-by-step explanation:
3/4 x
÷ = ÷
1/4 1
(4) 1/4x = 3/4 (4)
1x=3
Answer of what is QS
Answers
Check the picture below.
and let's not forget that the midsegment of a triangle is always half its parallel base.
[tex]\stackrel{midsegment}{AB}=\cfrac{\stackrel{base}{QS}}{2}\implies 16=\cfrac{QS}{2}\implies 32=QS[/tex]
Charlie and Daniella each began a fitness programme. On day one, they both ran 500m. On each subsequent day, Charlie ran 100m more than the previous day whereas Daniella increased her distance by 2% of the distance run on the previous day.
(a) Calculate how far Charlie ran on day 20 of his fitness programme. (1) Daniella ran on day 20 of her fitness programme. On day n of the fitness programmes, Daniella runs more than Charlie for the first time.
b) Find the value of n
Answers
Answer:
a) 2400m on the 20th day for Charlie.
1) 728.41m of 20th day for Daniella.
Didn't find n, sorry.
Charlie ran 2400m on day 20 of his fitness program and Daniella ran 728m on day 20 of her fitness program.
It is given that Charlie and Daniella on day one both ran 500m on each subsequent day.
Charlie ran 100m more than the previous day.
Daniella increased her distance by 2% of the distance run on the previous day.
It is required to calculate how far Charlie and Daniella ran on day 20 and the value of n.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
Charlie ran 500m on the first day:
[tex]\rm a_1 = 500[/tex]
[tex]\rm a_2 =600[/tex] ( because charlie ran 100m more than the previous day)
It is an arithmetic progression in which the difference between two consecutive terms:
d = 600 - 500 ⇒ 100
and [tex]\rm a_n = a+d(n-1)[/tex]
[tex]\rm a_2_0 = 500+100(20-1)\\\\\rm a_2_0 = 2400m[/tex]( ∵ n = 20 )
Daniella ran 500m on the first day:
[tex]\rm b_1 = 500[/tex]
[tex]\rm b_2 = 500+ 500\times2 \%[/tex] (because Daniella increased her distance by 2% of the distance run on the previous day)
We can write [tex]\rm n^t^h[/tex] terms:
[tex]\rm b_n= 500(1+2\%)^n^-^1[/tex]
[tex]\rm b_2_0= 500(1+2\%)^2^0^-^1[/tex]
[tex]\rm b_2_0= 500(1+0.02)^1^9\\\\\rm b_2_0 = 500\times 1.02^1^9\\\\\rm b_2_0 = 500\times1.456 \Rightarrow 728.40 \approx 728 m[/tex]
[tex]\rm b_n > a_n[/tex] (given in the question)
[tex]\rm500(1+2\%)^n^-^1 > 500+100(n-1) \ \ or \\\\\rm500(1+2\%)^n^-^1 > 100n+400[/tex]
The above expression is not true for all the values of 'n' ie. 'n' can not be determined.
Thus, Charlie ran 2400m on day 20 of his fitness program and Daniella ran 728m on day 20 of her fitness programme.
Learn more about the sequence here:
brainly.com/question/21961097
Calculate SP (the sum of products of deviations) for the following scores. Note: Both means are whole numbers, so the definitional formula works well: X Y 4 5 0 2 1 1 3 4
Answers
Applying the formula, it is found that the SP for both numbers is of 7.
The first step is finding the mean for both sets, hence:
[tex]M_x = \frac{4 + 0 + 1 + 3}{4} = 2[/tex]
[tex]M_y = \frac{5 + 2 + 1 + 4}{4} = 3[/tex]
Then, the SP(sum of products of deviations) is the sum of the multiplications between each value x and the mean, with each respective value of y(same index) and the mean, hence:
[tex]SP = (4 - 2)(5 - 3) + (0 - 2)(2 - 3) + (1 - 2)(1 - 3) + (3 - 2)(3 - 4) = 7[/tex]
The SP for both numbers is of 7.
A similar problem is given at https://brainly.com/question/20640860
What is the value of m
Answers
35.6 355⅝5555555555555555555545455555555
if in a game of glass stepping stones. there are 18 tiles of glass. two in each row. one is tempered and will be fine if you jump on it. and the other will break. if 1 player was to play what are his/her chances of getting across?
(NO links)
Answers
Answer:
10
Step-by-step explanation:
The number 40.8 is what percent of 68?
Answers
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=68$100%=68.
Step 4: In the same vein, $x\%=40.8$x%=40.8.
Step 5: This gives us a pair of simple equations:
$100\%=68(1)$100%=68(1).
$x\%=40.8(2)$x%=40.8(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{68}{40.8}$
100%
x%=
68
40.8
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{40.8}{68}$
x%
100%=
40.8
68
$\Rightarrow x=60\%$⇒x=60%
Therefore, $40.8$40.8 is $60\%$60% of $68$68.
Someone who is unable to use a credit card after repeated failures to pay has
had their credit
A. garnished
B. defaulted
C. repossessed
D. suspended
SUBMIT
Answers
D. suspended
explanation:
Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.
Option D is the correct answer.
What is a suspended credit card?Credit card suspension is a temporary measure, and the credit card can usually be reinstated once the account is brought up up-to-date.
We have,
When a person repeatedly fails to make payments on their credit card, their credit card company may suspend their credit card.
This means that the person will not be able to use the credit card until they bring their account up-to-date and pay any outstanding balance or fees.
However, repeated failures to pay can have a negative impact on a person's credit score, which is a measure of their creditworthiness.
If the account remains delinquent, it may eventually lead to default, which is when the lender takes legal action to recover the unpaid debt.
Thus,
Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.
Learn more about suspended credit card here:
https://brainly.com/question/30940802
#SPJ7
Can someone help me please
Answers
Answer:
answer for question 7. 0.17×70 = $11.9
Answer:
Question 1:
bill = $70
tip percentage = 17%
so tip = 70x(17/100)
= 11.9$
Question 2:
total voters = 20500
supported voters percentage = 49%
so supported voters = 20500x(49/100)
= 10045
Question 3:
price = 154$
vat percentage =5%
so vat = 154x(5/100)
= 7.7$
Let P(t) denote the profit made by a company when t dollars are invested in advertising. The marginal profit is dP/dt .
(a) Explain the meaning of dP dt in practical terms. The expression dP dt is the additional profit expected if 1 more dollar is invested in advertising. The expression dP dt is the total profit expected if t more dollars are invested in advertising. The expression dP dt is the difference between the expected profit and the actual profit. The expression dP dt is the additional profit expected if t more dollars are invested in advertising. The expression dP dt is the total profit expected if 1 more dollar is invested in advertising.
(b) If the marginal profit is positive, should you invest more or less money in advertising
Answers
Answer:
(a) (1) The expression dP/dt is the additional profit expected if 1 more dollar is invested in advertising
(b) you should invest more when dP/dt > 0
Step-by-step explanation:
a)dP/dt is the rate of change of profit with respect to advertising dollars. That is, it tells the number of dollars the profit will increase if the advertising dollars increase by 1.
__
b)Assuming that the advertising budget is already accounted for in the profit function, it is useful to spend more on advertising if that makes the profit go up. For dP/dt > 0, you should invest more in advertising.
When dP/dt = 0, no more advertising should be purchased. When dP/dt < 0, the advertising budget should be reduced to increase profit.
The original selling price was $154.30 The sale price was $127.92 What is the first step in finding the percent markdown?
Answers
Answer:
subtract the new price from the original price
Step-by-step explanation:
To find the percent markdown, first subtract the new price from the original price
154.30-127.92
26.38
Then divide by the original price
26.38/154.30
.170965651
Multiply by 100% to get the percent decrease
17.0965651% decrease
Determine whether the graph represents a proportional relationship. A graph is shown. The x-axis is labeled from 0 to 16. The y-axis is labeled from 0 to 16. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of Cars. The title on the y-axis is Number of Wheels. Yes, it is a proportional relationship because the graph goes through the origin Yes, it is a proportional relationship because the graph is a straight line No, it is not a proportional relationship because the graph is not a straight line No, it is not a proportional relationship because the graph does not go through the origin
Answers
Answer:
no its not a proportion
Step-by-step explanation:
because the line has to be straight unless the graph is scrap
Answer:
"Yes, it is a proportional relationship because the graph is a straight line"
Step-by-step explanation:
Your welcome ^^
f(x) = 2/3x + 3 what is the value of f(12)?
Answers
Answer:
11
Step-by-step explanation:
f(12) means that we plug 12 into our x value since the function is f(x) which will be solved as the following:
2/3x + 3
2/3(12) + 3
8 + 3
11
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
m = -(4 + m) + 2
This is on khan academy 7 grade math.
If correct answer will mark Brainlyest
Answers
Answer:
-1
sorry if this is wrong I really am
Answer:
m= -1
Step-by-step explanation:
Have a nice day
Determine f(4)+2×g (2)
Answers
Answer:
4f+4g
Step-by-step explanation:
What’s 28.50 simplified
Answers
Answer:
28.5
Step-by-step explanation:
hope this helps
Answer:
57/2
Step-by-step explanation:
I don't understand the context of this.
4(x-3) < x+3, Where x ∈ W
Please help me
Answers
[tex]\large\underline{\sf{Solution-}}[/tex]
Given:
[tex]\rm\longmapsto 4(x-3)<x+3, x\in \mathbb{W}[/tex]
[tex]\rm\longmapsto 4x-12<x+3[/tex]
[tex]\rm\longmapsto 4x-12-x<x+3-x[/tex]
[tex]\rm\longmapsto 3x-12<3[/tex]
[tex]\rm\longmapsto 3x-12+12<3+12[/tex]
[tex]\rm\longmapsto 3x<15[/tex]
[tex]\rm\longmapsto \dfrac{3x}{3}<\dfrac{15}{3}[/tex]
[tex]\rm\longmapsto x<5, x\in\mathbb{W}[/tex]
[tex]\large\underline{\sf{Answer-}}[/tex]
Therefore:
[tex]\rm\longmapsto x=\{0,1,2,3,4\}\ \ \ [/tex]
A dog slept from 10:51 p.m. to 1:22 a.m. how long does a dog sleep
Answers
Answer:
2 hours and 31 minutes
Step-by-step explanation:
10:51 +9 =11:00
+ 2 hours = 1:00 +22 = end time
so added together 22+9= 31 + the 2 hours = 2 hours and 31 minutes