Answer:
B
Step-by-step explanation:
Find the area of the circle with r = 36/2 Area1 = π r²
divide Area1 by two since the upper part of the figure is a semi-circle
then finally add and area of the rectangle Area2 = (18)(36)
Total area = Area 1 + Area 2
Answer:
1156.7 cm^2
Step-by-step explanation:
for finding area of semi circle
diameter=36 cm
radius=diameter/2
=36/2
=18 cm
area of semi circle=πr^2/2
=3.14*(18)^2/2
=3.14*324/2
=1017.36/2
=508.68 cm^2
area of rectangle=length*breadth
=18 cm *36 cm
=648 cm^2
area of the figure=area of semi circle + area of rectangle
=508.68 + 648
=1156.68
=1156.7 cm^2
WILL GIVE BRAINLIEST (Right angle) Trigonometry
please help!
Answer:
<A = 41.4°
Step-by-step explanation:
Recall, SOH CAH TOA
Reference angle = <A
Hypotenuse length = 8
Adjacent length = 6
Since Hypotenuse and Adjacent are involved, we would apply CAH, which is:
Cos A = Adj/Hyp
Plug in the values
Cos A = 6/8
Cos A = 0.75
[tex] A = Cos^{-1}(0.75) [/tex]
A = 41.4096221° ≈ 41.4° (nearest tenth)
Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.
Assume that you take out a $3000 loan for 30 months at 8.5% APR. What is the monthly payment? (Round your answer to the nearest cent.)
$
Answer:
111.35
Step-by-step explanation:
effective rate: .085/12= .007083333333333333
payment=x
[tex]3000=x(\frac{1-(1+.007083333333333333)^{-30}}{.007083333333333333})\\x=111.35[/tex]
Step-by-step explanation:
111.35
Step-by-step explanation:
effective rate: .085/12= .007083333333333333
payment=x
\begin{gathered}3000=x(\frac{1-(1+.007083333333333333)^{-30}}{.007083333333333333})\\x=111.35\end{gathered}
3000=x(
.007083333333333333
1−(1+.007083333333333333)
−30
)
x=111.35
write an equation of the line below
Identify the figure. Then name the bases, faces, edges, and vertices. PLEASE ANSWER FAST ILL MARK BRAINLIEST.
Answer:
Square pyramid1 square base (on the bottom)5 faces8 edges5 verticesHELP?!?
Write the prime factorization for these numbers
1. 235
2. 460
3. 582
4. 297
5. 777
6. 624
Step-by-step explanation:
hear is answer in attachment
Answer:
1. 5 x 47 show tree of 5 x 47 and then stop both are pf
2. 2^2 × 5 × 23 show tree of 10 x 46 and then 2 x 5 (under10) and 2x23 (under 46) and then stop 2,2,5,23 are all pf
3. 2 x 3 x 97 show tree 3 x 194 and 2 x 97 and circle pf 2,3,97
4. 3^3 x 11 show tree of 3 x 99 then 3 x 33 then 3 x 11 to show 3,3,3,11 as pf
5. 3 x 7 x 37 show tree as 777/7 = 111/37 = 3 to show 3,7,37 as pf
6. 2^4 x 3 x 13 show tree as 2 x 312 2 x 156 2 x 78 2 x 39 3 x 13 to show 2,2,2,2,3,13 all as pf
Step-by-step explanation:
Find the height of the cylinder. Round your answer to the nearest whole number.
Volume
= 113 m 3
Answer:
C
Step-by-step explanation:
3² * pi * 4 = 113
113 / pi / 3²
gives you 4
this time the radius was squared correctly XD
Answer:
C. 4m
Step-by-step explanation:
Work backwards from the formula of volume cylinder:
Formula = πr²h
113 = 3.14 * 9 * h
113/9 = 3.14 * h
12. 6 = 3.14 / h
4 = h
h = 4
Check:
Volume = 3.14*9*4
Volume = 3.14 * 36
volume = 113.04 ≈ 113
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
5:Pretest 5 Spatial Thinking
A point P has coordinates (-5, 4). What are its new coordinates after reflecting point P over the x-axis?
(-5, 4)
(-5,-4)
(5-4)
(5, 4)
Given:
The coordinates of point P are (-5,4).
Point P is reflected over the x-axis.
To find:
The new coordinates after the reflection.
Solution:
If a point is reflected across the x-axis, then the rule of reflection is:
[tex](x,y)\to (x,-y)[/tex]
Using this rule, we get
[tex]P(-5,4)\to P'(-5,-4)[/tex]
The new coordinates of point P after the reflection over the x-axis are (-5,-4).
Therefore, the correct option is B.
On the first day of training, Aretha holds a plank position for 30 seconds. She increases her time by 20% each day. What is the first day on which Aretha holds a plank for over a minute? Show your work
Answer:
5 th day
Step-by-step explanation:
Given :
1st day :
Time = 30 seconds
Time increases by 20% each day :
2nd day = 20% * 30 = (1.20 * 30) = 36 seconds
3rd day = 1.20 * 36 = 43.2 seconds
4th day = 1.20 * 43.2 = 51.84 seconds
5th day = 1.20 * 51.84 = 62.208
First day Aretha hold a plank for over 1 minute is the 5th day
PLEASE HELP ILL MARK BRAINLIEST
Which of the following graphs shows a pair of lines that represents the equations with the solution (3, −6)? (1 point)
Given:
The solution of two equation is (3,-6).
To find:
The graphs that shows a pair of lines that represents the equations with the solution (3, −6).
Solution:
In first graph, both line intersect each other at point (-6,3). So, the solution of the pair of lines is (-6,3).
In second graph, both line intersect each other at point (-3,6). So, the solution of the pair of lines is (-3,6).
In third graph, both line intersect each other at point (3,-6). So, the solution of the pair of lines is (3,-6).
In forth graph, both line intersect each other at point (6,-3). So, the solution of the pair of lines is (6,-3).
Therefore, the correct option is C.
Melissa will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $65 and costs an additional $0.50 per mile driven. The second plan has no initial fee but costs per mile driven. How many miles would Melissa need to drive for the two plans to cost the same?
Answer:
Melissa needs to drive 325 miles for the two plans to cost the same
Step-by-step explanation:
Plan A
Initial Fee = 65
Additional cost per mile = 0.50 per mile
Plan B
Initial Fee = 0
Additional cost per mile = 0.70 per mile
Required
Mile both plans will cost the same
Let
[tex]y \to cost[/tex]
[tex]x \to miles[/tex]
So, we have:
[tex]y = Initial\ Fee + Additional * x[/tex]
For plan A
[tex]y = 65+ 0.50* x[/tex]
[tex]y = 65+ 0.50x[/tex]
For plan B
[tex]y = 0 + 0.70*x[/tex]
[tex]y = 0.70x[/tex]
So, we have:
[tex]y = 65+ 0.50x[/tex] --- plan A
[tex]y = 0.70x[/tex] --- plan B
Both plans will cost the same when
[tex]y = y[/tex]
[tex]0.70x = 65 +0.50x[/tex]
[tex]0.70x -0.50x= 65[/tex]
[tex]0.20x= 65[/tex]
Divide by 0.20
[tex]x= 325[/tex]
PLEASE PLEASE HELP ASAP I NEED THIS DONE BY TODAY WILL GIVE BRAINLIEST!!!!
Match the basic trigonometric ratio for the similar triangles.
Answer:
cos E = 6/10
cos G = 8/10
sin E = 8/10
sin G = 6/10
tan E = 8/6
tan G = 6/8
What is blank -3/4 = 2/3
Answer:
Blank = 17/12
Step-by-step explanation:
Blank = 2/3 + 3/4
Blank = 8/12 + 9/12
Blank = 17/12
Find the volume of the prism.
With composte solids, all you have to do is find the volume of each and then add them together
Answer:
1760 cm³
Step-by-step explanation:
Volume For top "trapezoidal" prism : (14 * 4)/2 * 20 = 28 * 20 = 560
Volume for bottom rectangular prism = 6 x 10 x 20 = 60 x 20 = 1200
1200 + 560 = 1760 cm³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What is the result of subtracting the second equation from the first
Answer:
[tex]5x -2y = -2[/tex]
Step-by-step explanation:
Given
[tex]-2x + y = 0[/tex]
[tex]-7x + 3y = 2[/tex]
Required
Subtract (2) from (1)
This gives:
[tex]-2x - -7x +y - 3y = 0 -2[/tex]
[tex]5x -2y = -2[/tex]
I’ve been staring at this problem for 10 minutes and still have no idea
9514 1404 393
Answer:
B. (-∞, 1) ∪ (1, 2]
Step-by-step explanation:
When you are looking for answers to domain questions, you are looking for values of the variable(s) that make the function undefined. Here, there is a square root involved, and the rational function has a denominator that might be zero.
The function is only defined for square roots of non-negative numbers. That is ...
2-x ≥ 0 ⇒ x ≤ 2
The rational function is only defined for non-zero denominators, so ...
x-1 ≠ 0
x ≠ 1
__
So, you're looking for a domain description that includes all numbers less than or equal to 2, and excludes x=1. The attached number line shows a graph of this.
The domain divides into two parts: all numbers less than 1, and those numbers between 1 and 2 (including 2). This will be the union ...
(-∞, 1) ∪ (1, 2]
m(x) = x2 + 4x
n(x) = x
(mn)(x) =
x2 + 4x(x)
(x2 +4x)(x)
Answer:
Answer:
1. B. (x^2 + 4x)(x)
2. A. (x^3+4x^2)
3. 9
4. 0
5. 1
Step-by-step explanation:
The rectangular ground floor of a building has a perimeter of 780 ft. The length is 200 ft more than the width. Find the length and the width.
The length is ___ and the width is ___
Answer:
perimeter of the rectangular ground floor
=2(length+width)
length=X+200
width=X
=2(X+200+X)
=4x+400
4x+400 =780
4x =780-400
4x =380
x =95
width=95 feet
length=95+200
=295 feet
38% of students taking exam P will pass the exam. 5% of students are taking exam P having used ADAPT. 79% of the students using ADAPT pass the exam. What is the probability of passing the exam if a student does not use ADAPT
Answer:
the probability of passing the exam if a student does not use ADAPT is 0.3584
Step-by-step explanation:
Given the data in the question;
Probability a student will pass = 38% = 0.38
Probability a student have used ADAPT = 5% = 0.05
P(passed | used ADAPT) = 79% = 0.79
Now lets use table
Used ADAPT Not use ADAPT Total
Passed [0.05×0.79] = 0.0395 [0.38 - 0.0395] = 0.3405 0.38
Not Passed [0.05-0.0395] = 0.0105 [0.62 - 0.0105] = 0.6095 0.62
Total 0.05 0.95
Now, the probability of passing the exam if a student does not use ADAPT will be;
⇒ P(passed and Not used ADAPT) / P( did not use ADAPT)
⇒ 0.3405 / 0.95
⇒ 0.3584
Therefore, the probability of passing the exam if a student does not use ADAPT is 0.3584
Approximately 70% of U.S. adults had at least one pet as a child. We randomly survey 60 U. S. adults. We are interested in the number that had at least one pet as a child. The probability that at least 3 adults had at least one pet as a child means:
A. P(X=0)+P(X=1)+P(X=2)+P(X=3)
B. P(X=0)+P(X=1)+P(X=2)
C. P(X=4)+P(X=5)+P(X=6)+ ...
D. P(X=3)+P(X=4)+P(X=5)+ ...
Answer:
D. P(X=3)+P(X=4)+P(X=5)+ ...
Step-by-step explanation:
Given
[tex]n =60[/tex]
[tex]pr = 70\%[/tex] -- proportion of adults with pet
Required
Represent at least 3 adult with pet as a probability
At least 3 means 3 or more than.
So, the probability is represented as:
[tex]P(x \ge 3) = P(3) + P(4) + P(5) + ........[/tex]
Hence;
(d) is correct
please help! (listing BRAINLIST and giving points) :)
Answer:
(a) = 60
(b) = 70
Step-by-step explanation:
(a) Sum of all the angles of a triangle is 180
This is an equilateral Triangle
which means all the sides are equal since all the sides are equal that means all the angles are equal
[tex]x + x + x = 180 \\ 3x = 180 \\ x = \frac{180}{3} \\ x = 60[/tex]
(b) this is an isosceles triangle with two equal sides that means the two opposite angles are equal
[tex]40 + x + x = 180 \\ 40 + 2x = 180 \\ 2x = 180 - 40 \\ 2x = 140 \\ x = 70[/tex]
Pls help I’ll brainlest ASAP
Answer:
D
Step-by-step explanation:
because in standard form the first number is only up to 10 and above 10 it is decimal places e.g.6.12×10^5
hope this helps u understand :)
4x – 26 = 18 pls answer fast
Answer:
X = 11
Step-by-step explanation:
4x - 26 = 18
Add 26 on both sides to get 4x alone.
4x - 26 + 26 = 18 + 26
4x = 44
44 divided by 4 is 11.
Therefore X is 11.
Answer: x=11
Step-by-step explanation:
Add 26 to both sides
4x-26+26=18+26
4x=44
Divide by 4 and get 11
x=11
While eating your yummy pizza, you observe that the number of customers arriving to the pizza station follows a Poisson distribution with a rate of 18 customers per hour. What is the probability that more than 4 customers arrive in a 10 minute interval
Answer:
0.1848 = 18.48% probability that more than 4 customers arrive in a 10 minute interval.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Rate of 18 customers per hour.
This is [tex]\mu = 18n[/tex], in which n is the number of hours.
10 minute interval:
An hour has 60 minutes, so this means that [tex]n = \frac{10}{60} = \frac{1}{6}[/tex], and thus [tex]\mu = 18\frac{1}{6} = 3[/tex]
What is the probability that more than 4 customers arrive in a 10 minute interval?
This is:
[tex]P(X > 4) = 1 - P(X \leq 4)[/tex]
In which:
[tex]P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]
Then
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498[/tex]
[tex]P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494[/tex]
[tex]P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240[/tex]
[tex]P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240[/tex]
[tex]P(X = 4) = \frac{e^{-3}*3^{4}}{(4)!} = 0.1680[/tex]
[tex]P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex] = 0.0498 + 0.1494 + 0.2240 + 0.2240 + 0.1680 = 0.8152[/tex]
And
[tex]P(X > 4) = 1 - P(X \leq 4) = 1 - 0.8152 = 0.1848[/tex]
0.1848 = 18.48% probability that more than 4 customers arrive in a 10 minute interval.
U.S. women aged 20 or over have a mean HDL cholesterol levels of 55mg/dl with a standard deviation of 15 mg/dl. Assume that the distribution is Normal. What proportion of women have HDL below 45 mg/dl or less?
Answer:
0.2514 = 25.14% of women have HDL below 45 mg/dl or less.
Step-by-step explanation:
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.
Mean HDL cholesterol levels of 55mg/dl with a standard deviation of 15 mg/dl.
This means that [tex]\mu = 55, \sigma = 15[/tex]
What proportion of women have HDL below 45 mg/dl or less?
This is the p-value of Z when X = 45. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{45 - 55}{15}[/tex]
[tex]Z = -0.67[/tex]
[tex]Z = -0.67[/tex] has a p-value of 0.2514
0.2514 = 25.14% of women have HDL below 45 mg/dl or less.
PLS HELP ASAP! FIND THE VOLUME OF X.
Answer:
Step-by-step explanation:
5x + 150 = 180
5x = 30
x = 6
Hope this help!!!
Have a nice day!!!
Can someone answer the question?
Answer:
[tex]\frac{\sqrt{3} }{3} }(cos(\frac{19\pi}{12})+isin(\frac{19\pi}{12}))[/tex]
Step-by-step explanation:
Division of complex numbers in polar form is [tex]z_1/z_2=\frac{r_1}{r_2}cis(\theta_1-\theta_2)[/tex] where [tex]z_1[/tex] and [tex]z_2[/tex] are the complex numbers being divided, [tex]r_1[/tex] and [tex]r_2[/tex] are the moduli, [tex]\theta_1[/tex] and [tex]\theta_2[/tex] are the arguments, and [tex]cis[/tex] is shorthand for [tex]cos\theta+isin\theta[/tex]. Therefore:
[tex]\frac{9(cos(\frac{11\pi}{6})+isin(\frac{11\pi}{6})) }{3\sqrt{3}((cos\frac{\pi}{4})+isin(\frac{\pi}{4})) }[/tex]
[tex]\frac{9}{3\sqrt{3} }cis(\frac{11\pi}{6}-\frac{\pi}{4})[/tex]
[tex]\frac{\sqrt{3} }{3} }cis(\frac{19\pi}{12})[/tex]
[tex]\frac{\sqrt{3} }{3} }(cos(\frac{19\pi}{12})+isin(\frac{19\pi}{12}))[/tex]
Plz help i need a correct answer asap
Could anyone help me please?
9514 1404 393
Answer:
4
Step-by-step explanation:
In order to evaluate f(g(-1)), you first need to find g(-1).
The graph of g(x) crosses the line x = -1 at y = 1, so g(-1) = 1.
The second step is evaluating f(1). The graph of f(x) crosses the line x=1 at y=4, so f(1) = 4.
f(g(-1)) = f(1) = 4
Given that ſ-, f(x) dx = 4, S f(x) dx = -3, and $129(x) dx = 8, find the following.
S; f(x) dx
b. (f(x) dx
c. Lt, [F(x) +2g(x)] dx
| 0111869 +296) de