Answer:
Step-by-step explanation:
What is tanA?
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 17, adjacent A C is 8, opposite B C is 15.
a.
StartFraction 15 Over 17 EndFraction
c.
StartFraction 8 Over 15 EndFraction
b.
StartFraction 8 Over 17 EndFraction
d.
StartFraction 15 Over 8 EndFraction
Answer:
D. [tex] \frac{15}{8} [/tex]
Step-by-step explanation:
Recall: SOH CAH TOA
Thus,
Tan A = Opposite/Adjacent
Reference angle (θ) = A
Length of side Opposite to <A = 15
Length of Adjacent side = 8
Plug in the known values
[tex] Tan(A) = \frac{15}{8} [/tex]
When Adam got a new locker at the gym, he had to choose a password. For this locker, a password consists of
4 non-repeated letters from A - Z. How many different passwords are there to choose from?
Given:
Adam's locker has a password that consists of 4 non-repeated letters from A - Z.
To find:
The number of different passwords.
Solution:
Total number of letters from A - Z is 26.
So, the number of selecting a letter for first place is 26.
The passwords consists non-repeated letters. So, the remaining numbers is [tex]26-1=25[/tex].
The number of selecting a letter for second place is 25.
Similarly,
The number of selecting a letter for third place is 24.
The number of selecting a letter for fourth place is 23.
The total number of possible different passwords is:
[tex]26\times 25\times 24\times 23=358800[/tex]
Therefore, the total number of different passwords is 358800.
a mountain railway AB is of length 864m and rises at an angle of 120° to the horizontal.
A train is 856m above sea level when it is at A.
calculate the height above sea level of the train when it reaches B.
Answer:
The height above sea level at B is approximately 1,604.25 m
Step-by-step explanation:
The given length of the mountain railway, AB = 864 m
The angle at which the railway rises to the horizontal, θ = 120°
The elevation of the train above sea level at A, h₁ = 856 m
The height above sea level of the train when it reaches B, h₂, is found as follows;
Change in height across the railway, Δh = AB × sin(θ)
∴ Δh = 864 m × sin(120°) ≈ 748.25 m
Δh = h₂ - h₁
h₂ = Δh + h₁
∴ h₂ ≈ 856 m + 748.25 m = 1,604.25 m
The height above sea level of the train when it reaches B ≈ 1,604.25 m
Aubrey is making dumplings. If she uses \tfrac{4}{5} 5 4 cup of dough for each dumpling, how many cups of dough does Aubrey need to make 12 dumplings? Express your answer in simplest form.
Answer:
Number of cups of dough needed = 15 cups
Step-by-step explanation:
Cup of dough needed for each dumpling = 4/5 cup of dough
Total dumplings = 12
how many cups of dough does Aubrey need to make 12 dumplings?
Number of cups of dough needed = Total dumplings / Cup of dough needed for each dumpling
= 12 ÷ 4/5
= 12 × 5/4
= 60/4
= 15
Number of cups of dough needed = 15 cups
Log5 =0,699 find log 0,5
Answer:
-0.301
Step-by-step explanation:
Correct Question :-
If log 2 = 0.301 , find log 0.5
Solution :-
We are here given that the value of log 5 is 0.699 . Here the base of log is 10 .
[tex]\rm\implies log_{10}2= 0.301 [/tex]
And we are supposed to find out the value of log 0.5 . We can write it as ,
[tex]\rm\implies log_{10}(0.5) = log _{10}\bigg( \dfrac{5}{10}\bigg)[/tex]
Simplify ,
[tex]\rm\implies log _{10}\bigg( \dfrac{1}{2}\bigg)[/tex]
This can be written as ,
[tex]\rm\implies log_{10} ( 2^{-1})[/tex]
Use property of log ,
[tex]\rm\implies -1 \times log_{10}2 [/tex]
Put the value of log 2 ,
[tex]\rm\implies -1 \times 0.301 =\boxed{\blue{-0.301}} [/tex]
Hence the value of log (0.5) is -0.301 .
*Note -
Here here there was no use of log 5 in the calculation .
Will give Brainliest Please help me!
Derrick and jimmy start working on the same day. Derrick earns $30 every day. Jimmy earns $1 everyday on the first day. Every day thereafter, Jimmy earns $1 on the 1st day. Everyday thereafter, Jimmy earns $1 moe than he did h previous day. How many days will it take derrick and jimmy to have earned the same amount of money
Answer:
me and you have the same questions
Identify the slope and y-intercept of the line with the given equation. Use the slope and y-intercept to graph the equation.
1. y= -2x+3
2. y= -4-x+1
3. y= -2
4. 3x+y= -1
5. 2x-3y=0
6. 5x-2y=-4
Answer:
1. -2, 3
2. 4, -1
3. 0, -2
4. -3, -1
5. 2/3, 0
6. 5/2, 4
Step-by-step explanation:
In a survey of adults aged 57 through 85 years, it was found that 86.6% of them used at least one prescription medication. Complete parts (a) through (c) below.
a. How many of the 3149 subjects used at least one prescription medication?
(Round to the nearest integer as needed.)
b. Construct a 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication.
(Round to one decimal place as needed.)
Answer:
a) 272 used at least one prescription medication.
b) The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).
Step-by-step explanation:
Question a:
86.6% out of 3149, so:
0.866*3149 = 2727.
272 used at least one prescription medication.
Question b:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 3149, \pi = 0.866[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.866 - 1.645\sqrt{\frac{0.866*0.134}{3149}} = 0.856[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.866 + 1.645\sqrt{\frac{0.866*0.134}{3149}} = 0.876[/tex]
For the percentage:
0.856*100% = 85.6%
0.876*100% = 87.6%.
The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).
The number of subjects in the study who used at least one prescription medication is 2727 approx. The needed 90% confidence interval is: [0.8560, 0.8758] or in percentage as: 85.6% to 87.58%
How to construct confidence interval for population proportion based on the sample proportion?Suppose that we have:
n = sample size[tex]\hat{p}[/tex] = sample proportion[tex]\alpha[/tex] = level of significance = 1 - confidence interval = 100 - confidence interval in percentageThen, we get:
[tex]CI = \hat{p} \pm Z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
where [tex]Z_{\alpha/2}[/tex] is the critical value of Z at specified level of significance and is obtainable from its critical value table(available online or in some books)
For this case, we have:
n = 3149confidence interval is of 90%[tex]\alpha[/tex] = level of significance = 100 - 90% = 10% = 0..10[tex]\hat{p}[/tex] = sample proportion = ratio of 86.6% of n to n (at the least)Part (a):
The number of subjects used at least one prescription medication is:
[tex]\dfrac{3149}{100} \times 86.6 \approx 2727[/tex]
Thus, the sample proportion we get is:
[tex]\hat{p} = \dfrac{2727}{3149} \approx 0.8659[/tex]
For level of significance 0.10, we get: [tex]Z_{\alpha/2} = 1.645[/tex]
Thus, the confidence interval needed is:
[tex]CI = \hat{p} \pm Z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\CI \approx 0.8659\pm 1.645 \times \sqrt{\dfrac{0.8659(1-0.8659)}{3149}}\\\\\\CI \approx 0.8659 \pm 0.0099[/tex]
Thus, CI is [0.8659 - 0.0099, 0.8659 + 0.0099] = [0.8560, 0.8758]
Thus, the number of subjects in the study who used at least one prescription medication is 2727 approx. The needed 90% confidence interval is: [0.8560, 0.8758] or in percentage as: 85.6% to 87.58%
Learn more about population proportion here:
https://brainly.com/question/7204089
What is the measure of ∠
A. 60°
B. 6°
C. 42°
D. 49°
1) 18,27 – 9,756 =
2) 6 – 2,407 =
3) 18 – 5,432 =
4) 10 – 7,602 =
5) 13,013 – 12,5 =
6) 972,5 – 247,451 =
7) 83,12 – 90,2 + 12,3 =
8) 46,75 – 60,13 + 32,50 =
9) 254,0187 – 29,34682 =
10)1.015,568 – 123,712 =
no entiendo me ayudan
Answer:
1) -7929
2) -2401
3)-5414
4) -7592
5) 12888
6)-237726
7) 7287
8)-4588
9)-394495
10) 891856
3. What is the length of MA to the nearest tenth?
a) 0.1 cm
b) 3.5 cm
c) 17.0 cm
d) 7.7 cm
7.7cm
the rest is vastly (a and d) off or just enough off (can't be less then 5.2, because that's already the shortest side), to solve this by looking at it
Here’s Question three
Answer:
BD = 3 units
Step-by-step explanation:
Since, AD is an angle bisector of ∠BAC,
m∠BAD = m∠CAD = 20°
CD = 3 units
In ΔACD and ΔABD,
m∠BAD = m∠CAD = 20° (Given)
AD ≅ AD [Reflexive property]
Therefore, by H-A property of congruence both the triangles will be congruent.
And by CPCTC,
CD ≅ BD = 3 units
What addition sentence helps you find 5 – 4?
Answer:
4 + x =5
Step-by-step explanation:
By adding a variable you can set up an addition sentence
hi i just need a simple explanation for this question!
Answer:
5/3
Step-by-step explanation:
3^5 = 27 ^x
Rewrite 27 and 3^3
3^5 = 3^3^x
We know that a^b^c = a^(b*c)
3^5 = 3^(3x)
The bases are the same so the exponents are the same
5 = 3x
Divide by 3
5/3 =x
Answer:
x = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
[tex]3^{5} = 27^{x}[/tex]
These problems are getting you ready to work with exponential functions,
and ultimately with logarithms. The point here is that with variable exponents (notice the exponent is an x (on the right one) and not a number. Variable exponents can not be solved with regular algebra "rules" you need new ones.
The new ones will be Logs....
For now (until you learn logs) , you have to use some "tricks"
the "trick" in this problem is that you have to realize that 27 = [tex]3^{3}[/tex]...
with "common bases" this problem becomes trivial
[tex]3^{5} =(3^{3} ) ^{x}[/tex]
so now the bases are the same and the equals sign suggests that
3x = 5
thus x = [tex]\frac{5}{3}[/tex]
similar right triangles
Answer:
c
Step-by-step explanation:
w=3 x=15
Help quick!! I'll mark your answer as the brainliest if it's correct! Identify the function shown in this graph.
A. y= -1/5x + 3
B. y= 5x - 3
C. y= -5x + 3
D, y= -5x - 3
Answer:
C
Step-by-step explanation:
We see that the y-intercept is 3. So it is either A of B.
Plug in the point that is on the line (1, -2), we see that the point works for C.
find the distance between (-1,-5) and (4,3)
Answer:
[tex]\sqrt{89}[/tex] = 9.83
Step-by-step explanation:
[tex]\sqrt{89}[/tex]
[tex]\sqrt{25 + 64} \\\sqrt{5^2 + 8^2}[/tex]
Answer: 89
Step-by-step explanation:
A boardwalk game of chance costs 2 dollars to play. You have a 20% chance of winning 1 dollar, a 25% chance of winning back your entire 2 dollars, and a 35% chance to win 5 dollars. What is the expected value of playing the game if you lose your bet 20% of the time?
Answer:
For a give event with outcomes:
{x₁, x₂, ..., xₙ}
Each with probabilities:
{p₁, p₂, ..., pₙ}
The expected value is:
Ev = x₁*p₁ + ... + xₙ*pₙ
Here we have the outcomes and probabilities:
win $1, with a probability 20%/100% = 0.2
win $2, with a probability 25%/100% = 0.25
win $5, with a probability of 35%/100% = 0.35
do not win, with a probability of 20%/100% = 0.2
Then the expected value of the game is:
Ev = $1*0.2 + $2*0.25 + $5*0.35 + $0*0.2 = $2.45
And if we know that the game costs $2, then the expected value is:
Ev = $2.45 - $2 = $0.45
The expected value is $0.45
which proportion would you use to find 8% of 75?
A: 8/100 = 75/n
B: 8/100 = n/75
C: 75/100 = 8/n
D: 75/100 = n/8
Answer:
B: 8/100 = n/75
Step-by-step explanation:
OPTION B is the correct answer.
if -2 is a zero the polynomial 3x^2+2x+k, find the value of k
Answer:
value of K =16
I hope it's helps you
question 7, HELP!!!
Answer:
A
Step-by-step explanation:
Slope=(1-(-13))/(0-2))=-7. m is - 7 which is negative.
giving brainliest
2 variable table
Answer:
41
136
155
193
Step-by-step explanation:
use the equation 19*d+22=h
19 represents the number of hats knitted per day
22 represents the already made hats
Answer:
hhhhhhhhhhhhhhhhhhu
Step-by-step explanation:
Find the circumference and area of a circle with a diameter of 12 cm. (Use the approximation of 3.14 for )
Graph the first six terms of a sequence where a_1=4 and r=2
Step-by-step explanation: The standard formula for geometric sequence is an = a1 * r^(n-1) where r is the geometric factor and n is an integer. In this problem, upon substitution, an = 4*2^(n-1).
What is the area of the parallelogram ?
Answer:
Step-by-step explanation:
[tex]Sin \ 30 = \frac{opposite \ side}{hypotenuse}\\\\\frac{1}{2}=\frac{h}{6}\\\\\frac{1}{2}*6=h\\\\3 = h[/tex]
h = 3 cm
Area of parallelogram = b * h
= 6 * 3
= 18 sq.cm
Explain why ac is equal to
Bc
Answer:
because length is same I hope it will help you please follow me
Mia took RM210 with her to the mall. At the music store she spent 2/3 of her money on BTS CD and 1/4 of what was left she spent on food. How much money does Mia have after she bought the soda?
what the answer?
Step-by-step explanation:
210÷3×2=140 (140)CD
210-140=70 (70)left
70÷4×1=17.50 (17.50)food
70-17.50=52.50 (52.50)left
Please help solve this for me I couldn’t take a picture of the whole thing but I also need to find the domain & range
Answer:
The vertex appears to be (-1,-5) (The lowest point of line)
Axis of symmetry is x = -1 (Notice that the x value of the vertex is same)
y-intercept is (0, -3) (where the line crosses the y-axis)
Not really understanding this, thanks for help in advance
Answer:
102
Step-by-step explanation:
Exterior angle is sum of interior angles.
∠1 = 51 + 51
∠1 = 102
Answer: m∠1 = 102°
Step-by-step explanation:
The inside angles of a triangle always add up to 180°
so get the 3rd inside angle with
[tex]180-51-51=78[/tex]
And we know that a straight line in 180° on each side
So we take 180° and subtract 78° to get our answer 102°
I need help ASAP !! Thanks
