Answers
Answer:
45 degrees
Step-by-step explanation:
Givens
c = 10
opposite = 5√2
Sin(angle) = opposite / hypotenuse
Solution
sin(angle = 5√2 / 10
Sin(angle) = 0.707
angle = sin-1 (0.707)
angle = 45 degrees (rounded. Use a better value for √2)
Related Questions
Suppose 40% of the population of pre-teens have a TV in their bedroom. If a random sample of 500 pre-teens is drawn from the population, then the probability that between 36% and 44% of the pre-teens have a TV in their bedroom is:___________
a) 0.9644
b) 0.4644
c) 0.0356
d) 0.9328
e) 0.0712
Answers
Answer:
0.9328
Step-by-step explanation:
The mean of the sampling distribution is equal to
up = p = 0.40
The standard deviation = √pq/n
= √0.40x0.60/500
= √0.00048
= 0.0219
We compute the z values for the probability of 36% and 44%
When p = 0.36
z = 0.36-0.40/0.0219
= -1.83
When p = 0.44
z = 0.44-0.49/0.0219
= 1.813
From the standard normal distribution table. The probability associated with z values from Which we subtract the probability
P(0.36<=p<=0.44)
= P(-1.83<=z<=1.83)
P(z<=1.83)-p(z<=-1.83)
= 0.9664-0.0336
= 0.9328
Therefore the answer is 0.9328
Is ABC similar to DEF? why or why not
Answers
Answer:
What is the triangle?
Can you edit your question to contain a picture of the triangle so I can give you a definite answer?
Step-by-step explanation:
May I have brainliest please? :)
Geometric Sequence S = 1.0011892 + ... + 1.0012 + 1.001 + 1
Answers
Answer:
[tex]S_{1893} =5632.98[/tex]
Step-by-step explanation:
The correct form of the question is:
[tex]S = 1.001^{1892} + ... + 1.001^2 + 1.001 + 1[/tex]
Required
Solve for Sum of the sequence
The above sequence represents sum of Geometric Sequence and will be solved using:
[tex]S_n = \frac{a(1 - r^n)}{1 - r}[/tex]
But first, we need to get the number of terms in the sequence using:
[tex]T_n = ar^{n-1}[/tex]
Where
[tex]a = First\ Term[/tex]
[tex]a = 1.001^{1892}[/tex]
[tex]r = common\ ratio[/tex]
[tex]r = \frac{1}{1.001}[/tex]
[tex]T_n = Last\ Term[/tex]
[tex]T_n = 1[/tex]
So, we have:
[tex]T_n = ar^{n-1}[/tex]
[tex]1 = 1.001^{1892} * (\frac{1}{1.001})^{n-1}[/tex]
Apply law of indices:
[tex]1 = 1.001^{1892} * (1.001^{-1})^{n-1}[/tex]
[tex]1 = 1.001^{1892} * (1.001)^{-n+1}[/tex]
Apply law of indices:
[tex]1 = 1.001^{1892-n+1}[/tex]
[tex]1 = 1.001^{1892+1-n}[/tex]
[tex]1 = 1.001^{1893-n}[/tex]
Represent 1 as [tex]1.001^0[/tex]
[tex]1.001^0 = 1.001^{1893-n}[/tex]
They have the same base:
So, we have
[tex]0 = 1893-n[/tex]
Solve for n
[tex]n = 1893[/tex]
So, there are 1893 terms in the sequence given.
Solving further:
[tex]S_n = \frac{a(1 - r^n)}{1 - r}[/tex]
Where
[tex]a = 1.001^{1892}[/tex]
[tex]r = \frac{1}{1.001}[/tex]
[tex]n = 1893[/tex]
So, we have:
[tex]S_{1893} =\frac{1.001^{1892} *(1 -\frac{1}{1.001}^{1893})}{1 -\frac{1}{1.001} }[/tex]
[tex]S_{1893} =\frac{1.001^{1892} *(1 -\frac{1}{1.001}^{1893})}{\frac{1.001 -1}{1.001} }[/tex]
[tex]S_{1893} =\frac{1.001^{1892} *(1 -\frac{1}{1.001}^{1893})}{\frac{0.001}{1.001} }[/tex]
[tex]S_{1893} =\frac{1.001^{1892} *(1 -\frac{1}{1.001^{1893}})}{\frac{0.001}{1.001} }[/tex]
Simplify the numerator
[tex]S_{1893} =\frac{1.001^{1892} -\frac{1.001^{1892}}{1.001^{1893}}}{\frac{0.001}{1.001} }[/tex]
[tex]S_{1893} =\frac{1.001^{1892} -1.001^{1892-1893}}{\frac{0.001}{1.001} }[/tex]
[tex]S_{1893} =\frac{1.001^{1892} -1.001^{-1}}{\frac{0.001}{1.001} }[/tex]
[tex]S_{1893} =(1.001^{1892} -1.001^{-1})/({\frac{0.001}{1.001} })[/tex]
[tex]S_{1893} =(1.001^{1892} -1.001^{-1})*{\frac{1.001}{0.001}}[/tex]
[tex]S_{1893} =\frac{(1.001^{1892} -1.001^{-1}) * 1.001}{0.001}[/tex]
Open Bracket
[tex]S_{1893} =\frac{1.001^{1892}* 1.001 -1.001^{-1}* 1.001 }{0.001}[/tex]
[tex]S_{1893} =\frac{1.001^{1892+1} -1.001^{-1+1}}{0.001}[/tex]
[tex]S_{1893} =\frac{1.001^{1893} -1.001^{0}}{0.001}[/tex]
[tex]S_{1893} =\frac{1.001^{1893} -1}{0.001}[/tex]
[tex]S_{1893} =5632.97970294[/tex]
Hence, the sum of the sequence is:
[tex]S_{1893} =5632.98[/tex] ----- approximated
3) John and Kamira are playing a game. John's score (J) and Kamira's score 1 point
(K) after round 1 are shown on the number line. (MGSE7.NS.1.b) The score
recorded at the end of the first round is 6. What could this score
represent? *
K
3
5
4
-8-7-6
S
6
-109
2
8 9 10
The absolute value of the difference of John's score and Kamira's score.
The sum of John's score and Kamira's score.
The difference between John's score and Kamira's score.
The sum of the absolute value of John's score and the absolute value of Kamira's
score
Answers
Since the score recorded at the end of the first round is 6, this score could represent the following: B. The difference between John's score and Kamira's score.
What is a number line?In Geometry and Mathematics, a number line refers to a type of graph that is usually composed of a graduated straight line, which typically comprises both negative and positive numerical values (numbers) that are located at equal intervals along its length.
Assuming the variable J represent John's score and the variable K represent Kamira's score on the number line. In this scenario and exercise, we would determine the solution for the given scenario by solving as follows;
J + K = 1 + 7 = 8
K - J = 7 - 1 = 6
|K - J| = |7 - 1| = |6| = -6
Read more on number line here: brainly.com/question/22515080
#SPJ1
Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Here is a list of numbers 51 38 48 36 39 40 39 47
Work out the median of the numbers in the list.
Answers
Answer:
39+36=75
8
75=40. 87
8
Step-by-step explanation:
Hope this is enough :)
Answer:
39.5
Step-by-step explanation:
Sarah hopes to be 5 feet tall by her next birthday. Right now, she is 148 centimeters tall. How many more centimeters does Sarah need to grow before her next birthday to reach 5 feet? Complete the sentences to answer the question.
Since 5 feet equals____ inches and 1 inch is about 2.54 centimeters, there are centimeters in 5 feet. Therefore, Sarah needs to grow ___ centimeters to reach 5 ft.
Answers
5 feet = 60 inches
Sarah needs to grow 6 more centimeters.
Answer: So since 5 feet equals 60 inches and 1 inch is about 2.54 centimeters, there are centimeters in 5 feet. Therefore, Sarah needs to grow 6 more centimeters to reach 5 feet. I hoped this helps!! :D
Step-by-step explanation:
what is the solution to 4x=20
Answers
Answer:
5
Step-by-step explanation:
4x = 20
x = 20/4
x = 5
hope you get it...
Answer:
4 x 5= 20 or 20 divided by 4 is 5
hope this helps
Mr. Simpson’s faucet is leaking. It leaks 3/4 cup of water every 1/2 hour
Answers
Answer:
3/2 or 1.5 each hour
Step-by-step explanation:
3/4/1/2
=6/4
=3/2
=1.5
or
3/4*2=
1.5
Evaluate the expression on top. Pls need help
Answers
Answer:
the answer is 36!
Step-by-step explanation:
first, use the order of operations.
Parentheses
Exponents
Multiplying
Dividing
Addition
Subtraction
First, inside of parentheses. 3*2=6
then the exponent, which is 6*6, which equals 36.
The answer is 36. Hope this helped! Also would you mind marking brainliest? you don't have to. :D
Answer:
36
Step-by-step explanation:
(3x2)^2
(3x2)=6
(6)^2=6x6
36
Need help ASAP it’s for school
Answers
Is -2 a polynomial or not
Answers
What is the Product of 2+√-121 And 3+√-64? Must be written as a complex number in standard form.
Answers
Answer:
6+38i
Step-by-step explanation:
what 100x2?
please guys, im terribly stupid
Answers
Answer:
200
Step-by-step explanation:
since its 100x2 it will be 100+100 so 200
Answer:
200
Step-by-step explanation:
you take 100+100 = 200
You basically make 2 100's
Parallelogram ABCD is undergoing a series of transformations. Which of the following transformations will NOT result in a shape congruent to parallelogram ABCD?
A. translation 4 units to the left
B. reflection over the y axis
C. dilation with a scale factor of 2
D. rotation of 270 degrees clockwise
Answers
Answer:
C
Step-by-step explanation:
The answer would be C because dilation ( unless by 1 ) doesn't preserve congruence so every other answer that isn't dilation would be right and C would be the answer because the factor is 2 not 1.
From the graph shown, what is an approximate solution of the system of equations?
y = -0.5x + 4
y = 1 + 2x
A. (1.25, 3.4)
B. (2.25, 3.4)
C. (3.4, 1.25)
D. (3.4, 2.25)
Look at photo attached :)
Answers
Answer:
A. (1.25, 3.4)
The solution of the given system of equations is (1.25, 3.4). Thus, option A is correct.
What is the solution of the system of equations?The solution of the system of equations is the value of x and y which satisfies the system of equations.
From the given graph, it can be observed that the scale of the x-axis and y-axis is 1.
The solution of the system of equations is the point on the graph where the lines intersect.
From the graph, it can be observed that the point of intersection of 2 lines is approximately (1.25,3.4).
Thus, the solution of the given system of equations is (1.25,3.4).
Learn more about solution of the system of equations here:
https://brainly.com/question/11988499
#SPJ5
Please help it’s due
Answers
Answer:
c,
Step-by-step explanation:
have a good day, glad I could help :)
I need ASAP pleaseee
Answers
Answer:
A,C,E.
Step-by-step explanation:
slope=(-12-0)/(4-0)=-3
A.The slope is proportional.
C. Slope is negative.
E. The eq. of line is y=-3x
Jessica paid $5 toward a $20 ticket this month. What decimal represents the fraction she paid?
answer choices
A. 0.05
B. 0.25
C. 0.2
D. 0.5
Answers
Answer:
b 0.25
Step-by-step explanation:
20 ÷ 5 = 4 so 1/4 of 20 or 0.25 is 5
Answer:
B 0.25
Step-by-step explanation:
20 ÷ 5 = 4
hope this helps, have a good day
if you feel like it please give me brainliest
If (a, b) is the solution to the system of equations, what is the value of b?
a-2b=24
6b=80-a
A)7
B)14
C)19
D)38
Answers
Answer:
answer is 14 not sure but i tried
if it is right mark me as brainliest
PLEASE HELP!!!!
A stainless steel patio heater is a square pyramid. The length of one side of the base is 23.4 in. The
slant height of the pyramid is 88.2 in. What is the height of the pyramid?
Answers
Answer:
87.4 in
Step-by-step explanation:
Imagine a right triangle with one side the hight the other side half of the base side and the hypotenuse the slant height and use Pythagorean Theorem.
h² + (23.4/2)² = 88.2² solve for hight,
h=√88.2²- (23.4/2)² is about 87.4 in
Find the solution of this system of equations
-2y = 48 + 6x
-6x + 9y = -84
Answers
Step-by-step explanation:
can u help me In one question
2.) y=1.5
i believe
Suppose you have £20,000 in cash to invest. You decide to short sell £10,000 worth of Coca-Cola and invest the proceeds from your short sale plus your £20,000 in Intel. The initial price of Coca-Cola is £40 and increases to £42.40 producing a return of 6%. The initial price of Intel is £25 and increases to £31.50 producing a return of 26%. How many shares of Coca-Cola have you short sold and how many shares of Intel do you currently have? Select one: a. Short sold 2,000 shares of Coca cola and invested in 80 shares of Intel b. Short sold 40 shares of Coca cola and invested in 400 shares of Intel c. Short sold 250 of Coca cola and invested in 1200 shares of Intel d. Short sold 300 of Coca cola and invested in 12000 shares of Intel
Answers
Answer:
hdshdhdbs sorry
Step-by-step explanation:
The number of shares of Coca-Cola short sold and number of Intel shares bought are c. Short sold 250 of Coca cola and invested in 1200 shares of Intel.
Data and Calculations:
Cash available for investment = £20,000
Proceeds from short sale of Coca-Cola = £10,000
Total funds available for investment = £30,000
Initial price of Coca-Cola per share = £40
Number of Coca-Cola shares short sold = 250 (£10,000/£40)
Initial price of Intel stock per share = £25
Number of Intel shares acquired = 1,200 shares (£30,000/£25)
Thus, you short sold 250 shares of Coca-Cola stock and invested in 1,200 shares of Intel stock.
Learnn more: https://brainly.com/question/17587674
Please Help i will make brainliest if you help me
Answers
Answer:
Quadrants 3 and 4
Step-by-step explanation:
Quadrants 3 &4 represent negative integers. If 0 on the x axis represents the average/mean number of people there, then 3& 4 show the decrease from the average number.
Please help me with this question I’m giving brainliest.
Answers
Answer:
b should be the answer
Step-by-step explanation:
Answer:
C is the correct answer
Step-by-step explanation:
I know thus because you go down 5/10 every time and 5/10 as a decimal is 0.5 which means the slope is -0.5
What is the y-intercept?
Answers
Answer:
3
Step-by-step explanation:
it goes up by 8 so just subtract by 8
(0, 3)
(2, 11)
(4, 19)
(6, 27)
(8, 35)
(10, 43)
PLEASE HELP. DUE REALLY SOON. write an equation of the line in slope-intercept form. (-3,4) and(0,0)
Answers
say less fam i gotchu
y=-4/3x
Also since there is no b, the slope-intercept is 0
Answer: Slope -4/3x
Step-by-step explanation
Slope intercept is 0
2 (4x+7) + 5 (x + 2)
Answers
Answer:
13x+24
Step-by-step explanation:
8x+14+5x+10
13x+24
Answer:
13x+24
Step-by-step explanation:
8x+14+5x+10
13x+14+10=
13x+24
Not sure if anyone knows this
But what is true and false
Answers
Answer:
trust me
Step-by-step explanation:
you will never be a fool
When 848 is divided by n, the result is 16.
Answers
Answer:
n = 53
Step-by-step explanation:
Write the equation like this to find the answer.
848/n = 16 (Multiply each side by n to get 848 by itself)
848 = 16n (divide each side by 16 to get n by itself)
53 = n
CHECK
848/53 = 16
16 = 16
Hope this helps you! Have a good Thanksgiving Break!!
According to the area model, what's the probability of no pumpkins?
Answers
Answer:
2 out of 5 is the probability of no pumpkins
