The measurements of a circular object are given in the ratio table.
a. Find the missing dimensions of other circular objects by completing the ratio table.
b. Graph the pairs of values.
Answers
Answer:
after 42 mm the next one is 63mm and after 198mm it is 946mm
Step-by-step explanation:
The Diameter of the second circle is 63 mm and the circumference of the third circle is 946.
What is circumference?The circumference of a circle is the distance along a line across it. In other words, the length of a straight line created by opening a circle matches the radius of the circle. The formula to calculate circumference is C = π * Diameter.
Given that circumference of the first circle is 198mm by that we can drive the value of the diameter(D₂). from the formula of the circumference
C = π D₂
198 = 3.14 * D₂
D₂ = 63mm.
Given that the Diameter of the first circle is 198mm by that we can drive the value of the circumference. from the formula of the circumference
C₃ = π D₃
C₃ = 3.14 * 301
C₃ = 946 mm.
Therefore, the missing dimensions of the circular object are D₂ is 63mm and C₃ is 946mm.
Learn more about circumference here:
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Related Questions
11. John is building a wall. When he uses 750 bricks, the wall is 6 metres long and 1.25m high.
John wants the finished wall to be 10 metres long and 1.25 metres high.
How many more bricks does John need to finish the wall?
(Total 3 marks)
Answers
Answer:
750 blocks = 6m long
x blocks = 10m long
750×10 = 6x
7500 = 6x
divide both sides by 6
7500/6 = 6x/6
1250 = x
x = 1250
.
. . 1250 blocks are needed to finish the wall of 10m long
PLEASE HELP WILL MARK BRANIEST IF RIGHT
Answers
The lengths of two sides of a triangle are 4
and 6. The third side cannot be
tec
a) 6
b) 4
c) 3
d) 2
Answers
Which situation explains when a system of equations has infinitely many solutions ?
Answers
Answer:
C. when they are the same line
how do I answer this?
Answers
what is it step by step 7a - 4a when a = 8
Answers
Answer:
Step-by-step explanation:
7a - 4a
a = 8
so
7(8) - 4(8)
56 - 32 = 23
FINALLY! Someone asks for a step-by-step! TYSM!
Since a=8, we ae going to replace the a variables with 8.
7(8)-4(8)
7x8=56
4x8=32.
Now we subtract.
56-32=24.
---
hope it helps
Which fraction is shown by point D?
A. 1/3
B. 1/4
C. 3/3
D. 3/4
Answers
Answer:
C
Step-by-step explanation:
Hope dis helps
The distance between City A and City B is 250 miles. A length of 1.4 feet represents this distance
on a certain wall map. City C and City D are 2.52 feet apart on this map. What is the actual
distance between City C and City D?
Answers
Answer:
2.66 miles hope it helps
s
Meet - fgo-cpwg-cnq
1. Luz rode her bike in the park
for 45 minutes and rode in her
neighborhood for 25 minutes . Luz
stopped riding her bike at 4:40 P.M.
12
11
10
9
60
2
3
8
5
7
6
Answers
Answer:
A. 3:30 pm
Step-by-step explanation:
45 + 25 = 70 --> 1 hour 10 minutes
4:40 minus 1 hour 10 minutes --> 3:30
Write an equivalent expression using the Distributive Property.35 + 21 = 7( + )
Answers
Answer:
$2200/month
$2200/month
What is g(x)?
A. g(x) = -2
B. g(x) = -11
C. g(x) = -x
D. g(x) = -x
WILL MARK BRAINIEST!!
Answers
Step-by-step explanation:
g(x) = -X^2
which isn't an option.
WHO EVER ANSWERS FIRST WILL GET BRAINLY
3a = 42
Answers
Answer:
a=14
Step-by-step explanation:
The Washington, DC, region has one of the fastest-growing foreclosure rates in the nation, as 15,613 homes went into foreclosure during the one-year period ending in February 2008 (The Washington Post, June 19, 2008). Over the past year, the number of foreclosures per 10,000 homes is 131 for the Washington area, while it is 87 nationally. In other words, the foreclosure rate is 1.31% for the Washington, DC area and 0.87% for the nation. Assume that the foreclosure rates remain stable.
Required:
a. What is the probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure?
b. What is the probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure?
c. Comment on the above findings.
Answers
Answer:
a) 0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.
b) 0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.
c) The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.
Step-by-step explanation:
For each home, there are only two possible outcomes. Either it goes into foreclosure, or it does not. The probability of a home going into foreclosure is independent of other homes. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
a. What is the probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure?
The foreclosure rate is 1.31% for the Washington, DC area, which means that [tex]p = 0.0131[/tex]
We wanto to find, with [tex]n = 100[/tex]:
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{100,0}.(0.0131)^{0}.(0.9869)^{100} = 0.2675[/tex]
[tex]P(X = 1) = C_{100,1}.(0.0131)^{1}.(0.9869)^{99} = 0.3551[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.2675 + 0.3551 = 0.6226[/tex]
0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.
b. What is the probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure?
Foreclosure rate of 0.87% for the nation, which means that [tex]p = 0.0087[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{100,0}.(0.0087)^{0}.(0.9913)^{100} = 0.4174[/tex]
[tex]P(X = 1) = C_{100,1}.(0.0087)^{1}.(0.9913)^{99} = 0.3663[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.4174 + 0.3663 = 0.7837[/tex]
0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.
c. Comment on the above findings.
The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.
A rocket fired upward from some initial distance above the ground. Its height (in feet) h, above the ground t seconds after it is fired is given by h(t)=-16t^2+160t+384
What is the rockets maximum height?
After it is fired, The rocket reaches the ground at t=____ seconds
Answers
Answer:
Part A)
784 feet in the air (after five seconds).
Part B)
After 12 seconds.
Step-by-step explanation:
The height h (in feet) of a rocket t seconds after being fired is modeled by the function:
[tex]h(t)=-16t^2+160t+384[/tex]
Part A)
We want to find the rocket's maximum height.
Since our function is a quadratic, the maximum height will occur at its vertex. The vertex of a quadratic is given by:
[tex]\displaystyle \Big(-\frac{b}{2a}\, f\Big(-\frac{b}{2a}\Big)\Big)[/tex]
In this case, a = -16, b = 160, and c = 384.
So, the vertex occurs at:
[tex]\displaystyle t=-\frac{160}{2(-16)}=\frac{160}{32}=5\text{ seconds}[/tex]
The maximum height is reached after five seconds.
Then the maximum height is:
[tex]h(t)_\text{max}=h(5)=-16(5)^2+160(5)+384=784\text{ feet}[/tex]
Part B)
When the rocket reaches the ground, its height h above the ground will be 0. Hence:
[tex]h(t)_\text{ground}=0=-16t^2+160t+384[/tex]
Solve for t. We can first divide both sides by -16:
[tex]t^2-10t-24=0[/tex]
Factor:
[tex](t-12)(t+2)=0[/tex]
Zero Product Property:
[tex]t-12=0\text{ or } t+2=0[/tex]
Solve for each case:
[tex]t=12\text{ or } t=-2[/tex]
Time cannot be negative. Hence, our only solution is:
[tex]t=12\text{ seconds}[/tex]
The rocket reaches the ground 12 seconds after it is fired.
A farmer plans to grow wheat and corn. Each acre of wheat requires 4 hours of labor and $20 of capital, and each acre of corn requires 16 hours of labor and $40 of capital. The farmer has at most 800 hours of labor and $2400 of capital available. If the profit from an acre of wheat is $80 and from an acre of corn is $100, how many acres of each crop should she plant to maximize her profit?
Answers
Answer:
To maximize profits, the farmer should plant 120 acres of wheat, and no acre of corn.
Step-by-step explanation:
Given that a farmer plans to grow wheat and corn, and each acre of wheat requires 4 hours of labor and $ 20 of capital, and each acre of corn requires 16 hours of labor and $ 40 of capital, and the farmer has at most 800 hours of labor and $ 2400 of capital available, if the profit from an acre of wheat is $ 80 and from an acre of corn is $ 100, to determine how many acres of each crop should she plant to maximize her profit the following calculation must be performed:
Knowing that each acre of wheat has a 50% lower capital cost, 75% lower hours and a 20% lower profit, in principle this would be the crop to be planted to obtain better yields.
2400/20 = 120
120 x 4 = 480
120 x 80 = 9,600
Thus, to maximize profits, the farmer should plant 120 acres of wheat, and no acre of corn.
I need help finding Angle P
Answers
In ordering a café latte, you have a choice of whole, skim or soy milk; small, medium or large; and either one or two shots of espresso. How many choices do you have in ordering one
drink?
Answers
Answer:
3 choices is the answer i think
Plz help it’s due tomorrow
Answers
Answer:
x=121 degrees
Step-by-step explanation:
Sorry if my work is a bit messy. If you need me to rewrite it i can
Answer:43.1
Explanation
C = 2pi r
C = 2 x 3.14 x 6.87
C = 43.1 ft
Answers
This sounds like an answer....
5. For the final touches, John wanted to paint the house using 3 colors. If he has 5
gallons of paint for each color, write an equation for the total number of gallons of
paint he has?
Answers
Answer:
3 x 5 = 15
Step-by-step explanation:
To explain this in short, John has 5 gallons of 3 colors, meaning that 3 x 5 = 15 would be the appropriate equation to finish this question. I hope this helps!
Which is the graph of the inequality: y is less than (1/2x - 2)^3
Answers
Answer:
A
Step-by-step explanation:
Which of the following is the solution to 2√30 + 3√10?
8√10
8√10
Cannot be simplified further
9√10
Answers
What is the determinant of K=[6 8 0 3]
–18
–8
10
18
Answers
D) 18
Correct on Edge
A cell phone company is proposing to offer a discount to seniors if there was evidence that their average call length was less than the overall population mean of 9.2 minutes. If the phone calls are too long and the discount is provided, the company will lose money. A random sample of the length of calls for 100 randomly selected seniors was determined.
(a) State the null and alternative hypotheses. Write 's' as '<=', '' as '>=', and '#' as '<>'.
(b) In context, explain what the Type I error is.
(c) In context, explain what the Type II error is.
(d) Which is worse for the seniors, a Type I error or a Type II error? Why?
Answers
Step-by-step explanation:
1. Null hypothesis:
h0: μ ≥ 9.2
alternative hypothesis
h1: μ < 9.2
2. the type 1 error is an error that occurs when we reject a true null hypothesis. in this question, the type 1 error is commited if we reject the null hypothesis that the population mean is greater than or equal to 9.2, then we have committed this error.
3. the type ll error is an error that o a false occures wehn we do not reject a false null hypothesis. We commit the type ll error in this scenario by saying that the population mean is greater than or less than 9.2 when it is actually false.
4. The type ii eror is actually worse here. we accept a false H0 in the type ii error which says that the mean is greater than or equal to 9.2. This means that these seniors are not going to get discount because they only get discount when their mean calls is less than 9.2 minutes.
can i get help pls??
Answers
Answer:
119 or 124
Step-by-step explanation:
Name a straight triangle.
Answers
Answer:
A triangle
Step-by-step explanation:
The angles of a triangles are straight
therefore the triangle is a straight triangular shape
Anyone help?
.....hgzgxhlflhf
Answers
Answer:
it should be 152, can i please get brainliest
Step-by-step explanation:
I need help QUICK! with this difficult question
Answers
Answer:
Step-by-step explanation:
someone help me with this question plzzz
Answers
Answer:
Step-by-step explanation:
As per Janayda,
From the figure attached,
In ΔTRQ,
m∠TRQ + m∠RQT + m∠QTR = 180°
25° + m∠RQT + 35° = 180°
m∠RQT = 180° - 60°
m∠RQT = 120°
Since, m∠RQT + m∠PQT = 180° [Linear pair of angles]
m∠PQT = 180° - m∠RQT
= 180° - 120°
= 60°
In right angled triangle TPQ,
m∠TPQ + m∠PQT + m∠PTQ = 180°
90° + 60° + m∠PTQ = 180°
m∠PTQ = 180° - 150°
= 30°
Similarly, other angles can also be evaluated from the given information.
In ΔQTP and ΔNTP,
TP ≅ TP [Reflexive property]
NP ≅ PQ [Given]
ΔQTP ≅ ΔNTP [By LL postulate for congruence]
Therefore, Janayda is correct.
While Sirr is incorrect.
Since, there is not the enough information to prove ΔRTQ and ΔMTN equal, Isabelle is incorrect.
how could i find the value of this expression?
Answers
Answer:
you plug in the numbers
Step-by-step explanation:
Please mark brainliest!!
Answer:
√x⁴-y²
x²-y²
(x+y)(x-y)
when
x=3
y=-6
√x⁴-y²=(3-6)(3+6)=-3×9=-27 is your answer