Answers
m<1 =60
Related Questions
1. The circumference of a circle is 16p centimeters.
(a) Find the diameter of the circle.
(b) Find the area of the circle.
Answers
Answer: Diameter: 8
Area: 201.1
Step-by-step explanation:
Diameter: Use the formula for the area of a circle:
Use the formula for the area of a circle:
A=πr2
Here, the area is 16π:
16π=πr^2
Divide both sides by π:
16=r^2
Take the square root of both sides: √16=√r^2
4=r
Since the radius of the circle is 4, the diameter is twice that:
d=4×2=8
Area:
Formula:
A = π r^2
A= Area R= Radius
Add Radius
A= π 8^2
Solve:
Simplify π⋅8^2
Exact Form:
A=64π
Decimal Form:
A=201.06192982
if tan theta =3, find the value of tan theta + tan (theta+pi) + tan (theta +2pi)
Answers
Answer:
[tex]tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 9[/tex]
Step-by-step explanation:
Given
[tex]tan\theta = 3[/tex]
Required
Find
[tex]tan\theta + tan(\theta + \pi) + tan(\theta+2\pi)[/tex]
Calculate [tex]tan(\theta + \pi) \ and\ tan(\theta+2\pi)[/tex]
Using tan rule
[tex]tan(\theta + \pi) = \frac{tan\theta + tan\pi}{1 - tan\theta tan\pi}[/tex]
So:
[tex]tan(\theta + \pi) = \frac{tan\theta + 0}{1 - tan\theta *0}[/tex]
[tex]tan(\theta + \pi) = \frac{tan\theta}{1 }[/tex]
[tex]tan(\theta + \pi) = \tan\theta[/tex]
[tex]tan(\theta+2\pi)[/tex]
[tex]tan(\theta + 2\pi) = \frac{tan\theta + tan2\pi}{1 - tan\theta tan2\pi}[/tex]
[tex]tan(\theta + 2\pi) = \frac{tan\theta + 0}{1 - tan\theta *0}[/tex]
[tex]tan(\theta + 2\pi) = \tan\theta[/tex]'
'So:
[tex]tan\theta + tan(\theta + \pi) + tan(\theta+2\pi)[/tex] [tex]= tan\theta +tan\theta +tan\theta[/tex]
[tex]tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 3+3+3[/tex]
[tex]tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 9[/tex]
According to the guideline from the Health Department, every over-weight child needs to take a fitness test.
Every ten over-weight children would be randomly grouped together to attend the fitness test. According to
the past experience, the probability for each child to pass the fitness test is 0.75 and whether a child can pass
the test is independent with the test result of other children.
(a) Many test sessions will be conducted regularly, each with 10 independent children. Find the expectation
and standard deviation of the number of children can pass the fitness test in a test session.
(b) Most likely, how many children can pass the fitness test in a test session? Justify your answer by
comparing the two outcomes with the relatively high probability.
(c) Find the probability that less than 8 children can pass the fitness test in one test session.
Answers
Answer:
According to the guideline from the Health Department, every over-weight child needs to take a fitness test.
Every ten over-weight children would be randomly grouped together to attend the fitness test. According to
the past experience
Step-by-step explanation:
Match each fraction on the left with the corresponding percent on the right. Some options on the right will be used more than
once.
Answers
Answer:
no picture
Step-by-step explanation:
2(34 + 12) > 5b This inequality contains a variable, b. Choose ALL numbers that make this inequality true. A) 16 B) 18 C) 19 D) 20 E) 22
Answers
Answer:
A and B
Step-by-step explanation:
What is the inverse function
Answers
Answer:
it's simple just divide
Mr benson wrote y=-x+15 as the equation of a line he asked three of his students to write an equation of a non coincident line that is parallel to the line y=-x+15
Answers
The figure is a kite. The m < 4 = 72 and m < 3 = 18. Find m < 2.
Answers
The sum of the angles for a 4 sides figure must add up to 360.
Angle 1 and angle 2 are between similar sides so the 2 angles are identical.
Subtract the known angles from 360:
360 - 72 - 18 = 270
Divide that by 2:
270*2 = 135
Angle 2 = 135 degrees.
ONLY answer if you know! Which of the following will have a negative result? (1 point)
O-8-(-10)
O 12-14
07-(-3)
Answers
2 questions plz Both will be in the comments
Answers
Simplify quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2 x2 + 1 x2 − 1 x − 4 x + 4
Answers
First off, remember that finding the x-intercepts means setting y equal to zero and solving for the x-values, so this question is really asking you to "Solve 4x2 – 2x – 5 = 0".
Now, let's start the completing-the-square process. To begin, we have the original equation (or, if we had to solve first for "= 0", the "equals zero" form of the equation). In this case, we were asked for the x-intercepts of a quadratic function, which meant that we set the function equal to zero
Answer:
D . x + 4Step-by-step explanation:
(x² + 6x + 8) / (x + 2) =(x² + 2x + 4x + 8) / (x + 2) = (x + 2)(x + 4) / (x + 2) = x + 4Correct choice is D
HELP ASAP WILL MARK BRAINLIEST!!!!
Answers
Answer:
(-14,0)
Step-by-step explanation:
lets find the equation of the line first
so lets take two points (-74,18) and (-54,12)
so slope is rise/run= -6/ 20 or -3/10
plugging into the equation
y= mx+b
we get
12= 5.4*3+b
12= 16.2+b
b= -4.2
so equation is y= -.3x-4.2
simplyfying we get
10y= -3x-42
3x= -10y-42
x= -10y-14
so we see that the x intercept is (-14,0)
if my answer helps please mark as brainliest.
Answer:
-14,0
Step-by-step explanation:
Solve −2x−4=3x+1
by graphing.
The solution is x=
Answers
Answer: x=-1
Step-by-step explanation:
I will mark you branlist!!
Answers
Answer:
25
Step-by-step explanation:
1/5 x 125 = 25
Answer:
25 :)
Step-by-step explanation:
is 6.762 greater than 6.649
Answers
Find the difference 7/9 - 5/13 in lowest term
Answers
Answer:
46/117
Step-by-step explanation:
Answer:
46/117
Step-by-step explanation:
this is a type of fraction which can not be simplified
At a new exhibit in the Museum of Science, people are asked to choose between 94 or 220 random draws from a machine. The machine is known to have 99 green balls and 78 red balls. After each draw, the color of the ball is noted and the ball is put back for the next draw. You win a prize if more than 61% of the draws result in a green ball. a. Calculate the probability of getting more than 61% green balls.
Answers
Answer:
0.0869 = 8.69% probability of getting more than 61% green balls.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
The machine is known to have 99 green balls and 78 red balls.
This means that [tex]p = \frac{99}{99+78} = 0.5593[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.5593[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5593*0.4407}{99+78}} = 0.0373[/tex]
a. Calculate the probability of getting more than 61% green balls.
This is 1 subtracted by the pvalue of Z when X = 0.61. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.61 - 0.5593}{0.0373}[/tex]
[tex]Z = 1.36[/tex]
[tex]Z = 1.36[/tex] has a pvalue of 0.9131
1 - 0.9131 = 0.0869
0.0869 = 8.69% probability of getting more than 61% green balls.
There are 1.5 liters of milk in the pitcher. There are 180 milliliters of milk in the glass. In milliliters, how much more milk is in the pitcher than in the glass?
Answers
Answer:Welcome to Brainly
Step-by-step explanation:
Hope this was helpful.
Answer:
1.5 liters × 1000
= 1500 milliliters
A town has a population of 5000 and grows at 3.5% every year. To the nearest tenth of a year, how long will it be until the population will reach 7300?
Answers
Answer:
Step-by-step explanation:
This is an exponential function. In order to find the answer to the question, we need to first determine what the equation is that models this information. The standard form for an exponential function is
where a is the initial value and b is the growth/decay rate. If the starting population is 5000, then
a = 5000
If the population is growing, that means that it retains 100% of the initial population and is added to by another 3.5%. So in a sense the population grows 100% + 3.5% = 103.5% or, in decimal form, 1.035. So
b = 1.035
Our function is
where y is the ending population and x is the number of years it takes to get to that ending population. We want to know how long, x, it will be til the population reaches 7300, y.
and we need to solve for x. The only way to do that is by using logs. I'll use natural logs for this.
Begin by dividing both sides by 5000 to get
and take the natural log of both sides:
The power rule for natural logs is that we can now bring the exponent down in front of the ln to get:
To solve for x, we now divide both sides by ln(1.035):
Do that division on your calculator and get that
x = 11.0 years.
That means that 11 years after the population was 5000 it will be expected to reach 7300 (as long as the growth rate remains 3.5%)
What is the value of x
15x + 1=46
Help plz
I will give brainliest
Answers
Answer:
3
Step-by-step explanation:
Answer:
The answer to this question is X=3
Step-by-step explanation:
15x3=45
45+1=46
Hope my answer helps you!!!
The price of a carton of eggs at Supermarket A is $2.10. The price of a carton of eggs at Supermarket Bis 40% less than the price at Supermarket A
What is the price of a carton of eggs at Supermarket B?
Answers
Question 6 of 25
Which expression gives the area of the triangle shown below?
A. ac
O Box
OC. (*)
OD (aco)
SUBMIT
Answers
Answer: 1/2 cx
Step-by-step explanation: I did the quiz
Determine if the triangles are similar. If they are similar state why they are similar and
complete the similarity statement. If the triangles are not similar, select "N/A" for the last
two dropdowns.
R
Q
11
14
U
V
22
28
S
[ Select)
The triangles are
vby
[ Select]
.Δ
SUV-A [Select]
Answers
2 2/5 x 3/4
plz help me! and plz show your work.
Answers
Answer:1.8
Step-by-step explanation:
Find the area of the shape below.
Give your answer in terms of pi
6cm
8cm
32cm
The diagram is not drawn to scale.
Answers
9514 1404 393
Answer:
164π cm²
Step-by-step explanation:
The area of a circle is given by the formula ...
A = πr²
The radius (r) is half the diameter (d), so the area of a semicircle in terms of its diameter is ...
1/2A = (1/2)(π)(d/2)² = (π/8)d²
The given shape is the combination of three (3) semicircles. The smallest has a diameter of 6 cm; the middle-sized one has a diameter of (32 cm -6 cm -8 cm) = 18 cm. The largest has a diameter of 32 cm.
The total area will be ...
area of largest + area of middle-size - area of smallest
= (π/8)(32² +18² -6²) = (π/8)(1312) . . . . cm²
The area of the shape is 164π cm².
does a/9=25 i dont know
Answers
Answer:
225
Step-by-step explanation:
225 ÷ 9 =25
225/9= 25
a=25
double the quotation of a number (x) and 6.
Answers
Hey there!
Your answer is [tex]2(\frac{x}{6} )[/tex]
"Double" represents multiplying by 2. "the quotation of a number (x) and 6" represents division. So, we can double [tex]\frac{x}{6}[/tex], which gives us [tex]2(\frac{x}{6} )[/tex].
Have a terrificly amazing day! :D
Pls help!! I’ve been trining to get the answer but I can’t pls help!!
Answers
Answer:
$5740
Step-by-step explanation:
get 2.5% of 5600
5600/x=100/2.5
(5600/x)*x=(100/2.5)*x
5600=40*x
5600/40=x
140=x
x=140 <----- 2.5% of 5600
5600 + 140 = $5740
2√63
Simplify
Bsbahajjssjjxjsjsjj
Answers
giving brainliest!!!
Answers
Answer:
133 square centimeters
Step-by-step explanation:
Answer:
Surface A≈146.25 square centimeters
Step-by-step explanation: