Answers
Answer:
[tex]\sf \tan(x)=\dfrac{4}{3}[/tex]
Step-by-step explanation:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (side opposite the right angle)From inspection of the diagram:
[tex]\theta[/tex] = xO = 8A = 6H = 10[tex]\implies \sf \tan(x)=\dfrac{8}{6}=\dfrac{4}{3}[/tex]
[tex]\\ \rm\Rrightarrow tanx=\dfrac{Perpendicular}{Base}[/tex]
Perpendicular=8Base=6[tex]\\ \rm\Rrightarrow tanx=\dfrac{8}{6}[/tex]
[tex]\\ \rm\Rrightarrow tanx=\dfrac{4}{3}[/tex]
Related Questions
Subtract these polynomials.
(x^2 + 5x + 2) - (5x^2 - x - 2)
Answers
Answer:
-4x^2 + 6x +4
Step-by-step explanation:
Answer:
=x^2+5x+2+−1(5x^2−x−2)
=x^2+5x+2+−1(5x^2)+−1(−x)+(−1)(−2)
=x^2+5x+2+−5x^2+x+2
=x^2+5x+2+−5x^2+x+2
=(x^2+−5x^2)+(5x+x)+(2+2)
=−4x^2+6x+4
I don't know what to do with this help I think it's right but
Answers
Answer:
Nice handwriting!
Step-by-step explanation:
I have no idea im only in 8th grade.
What is the first part of the second step to prove that Sn 1 + 2 + 4 +. + 2n - 1 = 2n - 1? a. Show that Sn is valid for n = k c. Assume that Sn is valid for n = k b. Verify that Sn is valid for n = 1 d. Prove that Sn is valid for n = k + 1
Answers
The first part of the second step to prove the sequence is to prove that Sn is valid for n = k + 1, Option D is correct.
What is geometric sequence?Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.
The sum of geometric sequence is given as,
[tex]s_n=\dfrac{r^n-1}{r-1}[/tex]
Here, a is the first term of the sequence, n is total terms and r is the common ratio.
The given equation which need to be proved is,
[tex]S_n= 1 + 2 + 4 +. ...+ 2n - 1 = 2n - 1[/tex]
This can be proved by induction method. This can be done by induction method with two steps:
Prove n=0, without getting any data of other cases.If the data or problem is given then assume n=k. For the given case is also true for n=k+1. Thus, in second step prove that Sn is vaild for n=k+1.Thus, the first part of the second step to prove the sequence is to prove that Sn is valid for n = k + 1, Option D is correct.
Learn more about the geometric sequence here;
https://brainly.com/question/1509142
#SPJ1
I NEED HELP WITH THIS
Answers
Answer:
Step-by-step explanation:
a) 147
b)147
c) 152
d)65
Answer:
a) mean = 147
b) median = 147
c) mode = 152
d) range = 65
Step-by-step explanation:
firsly let’s arrange the numbers of the set in ascending order:
117 , 119 , 138 , 142 , 152 , 152 , 174 , 182
a)
[tex]Mean = \frac{117+119+138+142+152+152+174+182}{8} =\frac{1176}{8} =147[/tex]
b) the median is the average of the two middle numbers :
[tex]117,119,138, \frac{142,152}{} , 152,174,182[/tex]
[tex]median=\frac{142+152}{2}= 147[/tex]
c) the modal height is 152 because 152 is the value that appears most frequently (2 times) in our set
d) the range of a set is the difference between the highest and lowest numbers :
Then
the range = 182-117 = 65
Which solution can be simplified to determine when the object will hit the ground? t = t = t = t =
Answers
The solution can be simplified to determine when the object will hit the ground is; h(t) = -9.8t² + 20t + 60
What is projectile motion?Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. The object is called a projectile, and its path is called its trajectory
Projectile motion
We are told that the projectile motion of an object can be modeled using;
h(t) = gt² + v0*t + h0
Where;
g is the acceleration due to gravity
t is the time since launch
h(t) is the height of the projectile after time t
v0 is the initial velocity
h0 is the initial height.
Now, we are given;
The acceleration due to gravity; g = –9.8 m/s²
Initial velocity; v0 = 20 m/s
Initial height; h0 = 60 m
Hence solution can be simplified to determine when the object will hit the ground is; h(t) = -9.8t² + 20t + 60 h(t) = -9.8t² + 20t + 60
Read more on projectile aat; brainly.com/question/14899130
Answer:
it's c on edge :] have a nice day
need help finding x
Answers
Answer:
The answer is X equals 12
Step-by-step explanation:
I hope you get it right!
I need help quick with sampling methods
Answers
2) its hard to generalize all of the results for the survey population as a whole
3) systematic sampling
how would i find the volume ?
Answers
Answer:
4900
Step-by-step explanation:
You multiply lengthxwidthxheight, all the given dimensions to get (25x14x14) 4900
helloooo can someone help meeeeeeeee
Answers
Answer:
Option B, [tex](48x^{8}y^{5})[/tex]
Step-by-step explanation:
Step 1: Simplify the exponent
[tex](12x^{2}y^{3})(2x^{3}y)^{2}[/tex]
[tex](12x^{2}y^{3})(2^{2}x^{3*2}y^{1*2})[/tex]
[tex](12x^{2}y^{3})(4x^{6}y^{2})[/tex]
Step 2: Simply the expression
[tex](12x^{2}y^{3}*4x^{6}y^{2})[/tex]
[tex](48x^{2+6}y^{3+2})[/tex]
[tex](48x^{8}y^{5})[/tex]
Answer: Option B, [tex](48x^{8}y^{5})[/tex]
pls help me with this!
Answers
Answer:
0.69
Step-by-step explanation:
In a right triangle, the cosine of one of the acute angles is the ratio of the adjacent ("next to") side to the hypotenuse.
In this triangle, the side adjacent to angle T has length [tex]\sqrt{38}[/tex]. Now you need the length of the hypotenuse, ST. Use the Pythagorean Theorem:
[tex]ST^2=(\sqrt{38})^2+(\sqrt{41})^2 \\\\ST^2=38+41\\\\ST=\sqrt{79}[/tex]
Build the ratio (adjacent) / (hypotenuse) and approximate it with a decimal.
[tex]\cos{T}=\frac{\sqrt{38}}{\sqrt{79}} \approx 0.69[/tex]
[tex]{\large{\red{\mapsto{\maltese{\underline{\green{\boxed{\blue{\underbrace{\overbrace{\pink{\pmb{\bf{Answer:}}}}}}}}}}}}}}[/tex]
To find :-
Cos T = ?
Given :-
Perpendicular(P) = RS = √41
Base(B) = RT = √38
Formula to be used :-
We will use here a trignometry formula to find hypotenuse (H) which is ST.
(hypotenuse)² = (perpendicular)² + (base)²
[tex] \cos(A) = \frac{base}{hypotenuse} [/tex]
Solution:-
H² = P² + B²
H² = (√41)² + (√38)²
H² = 41 + 38
H² = 79
H = √79
[tex] \cos(T) = \frac{B}{H} \\ \cos(T) = \frac{ \sqrt{38} }{ \sqrt{79} } \\ \cos(T) = \frac{6.17}{8.89} \\ \cos(T) = 0.69[/tex]
Result :-
The value of cos(T) is 0.69.
An airline gathers data on late departures and early arrivals over a month. it finds that the probability of a late departure is 12 percent, the probability of an early arrival is 27 percent, and the probability of both a late departure and an early arrival is 4 percent. which equation shows how to correctly calculate the probability of a late departure or an early arrival? p(late departure or early arrival) = 0.12 0.04 p(late departure or early arrival) = 0.12 0.27 p(late departure or early arrival) = 0.12 0.27 – 0.04 p(late departure or early arrival) = 0.27 0.04 – 0.12
Answers
The probability of a late departure or an early arrival P(late departure or early arrival) = 0.12 + 0.27 – 0.04
What is probability?
The probability is defined as the chances of occurence of any event from the sample.
Given: The probability of a late departure is 12 %t, the probability of early arrival is 27%.
i.e. P(late departure)=0.12
P(an early arrival)=0.27
The probability of both a late departure and an early arrival is 4 percent.
P(late departure and early arrival) =0.04
Now, using the formula the probability of the union of two dependent events A and B:-
[tex]\rm P(AUB)=P(A)+P(B)-P(A \cap B)[/tex]
i.e. P(late departure or early arrival) = P(late departure)+P(an early arrival)-P(late departure and early arrival)
=0.12+0.27-0.0.04
Hence, the required equation : P(late departure or early arrival) = 0.12 + 0.27 – 0.04
To know more about probability follow
https://brainly.com/question/24756209
The equation that shows how to correctly calculate the probability of a late departure or an early arrival is P(L∪E)=0.12+0.27-0.04.
Probability of late departure P(L) = 0.12
Probability of early arrival P(E) = 0.27
Probability of both a late departure and an early arrival P(L∩E)= 0.04
What is probability?Probability is the measurement of the likelihood of an event.
P(L∪E)=P(L)+P(E)- P(L∩E)
Where P(L∪E) is the probability of a late departure or an early arrival.
So, P(L∪E)=0.12+0.27-0.04
Hence, the equation that shows how to correctly calculate the probability of a late departure or an early arrival is P(L∪E)=0.12+0.27-0.04.
To get more about probability visit:
https://brainly.com/question/24756209
If the sum of a number and six is doubled, the result is two less than the number. Find the number.
X =
Answers
Answer:
-14
Step-by-step explanation:
let the number= X
from the statement,
(X+6)×2 = X - 2
open bracket
2X +12 = X- 2
2X-X = -2-12
X = -14
What is the probability of choosing a gray button not replacing it and choosing gray again?
Answers
answer:
the probability of choosing a gray button is 3/5
after putting it back the probability remains the same, so 3/5 for both answers
Answer:
[tex]\sf \dfrac{3}{10}[/tex] = 0.3 - 30%
Step-by-step explanation:
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Given:
Grey buttons = 3White buttons = 2Total buttons = 5[tex]\sf P(gray) = \dfrac35[/tex]
If the button is not replaced, there are now:
Grey buttons = 3 - 1 = 2White buttons = 2Total buttons = 5 - 1 = 4[tex]\sf P(gray) = \dfrac24=\dfrac12[/tex]
Therefore,
[tex]\sf P(gray)\:AND\:P(gray)= \dfrac35 \times \dfrac12=\dfrac{3}{10}[/tex]
A store charges a restocking fee for any returned item based upon the item price. An item priced at $200 has a fee of $12. An item priced at $150 has a fee of $9.
What percentage of the item is a restocking fee?
Answers
Divide the restocking fee by the price of the item:
12/200 = 0.06
9/150 = 0.06
Multiply by 100 to get the percent:
0.06 x 100 = 6%
Answer: 6%
What is the line of the slope shown below
Answers
Answer:
3
Step-by-step explanation:
[tex]\frac{-3-6}{2--1}=\frac{-9}{3}=3[/tex]You go down 9 points and right 3 so -9/3 is equal to -3
What is the percent of the silo that is filled with corn at 10 hours. Use the picture bellow to get the answer.
Answers
Answer:
90.93%
Step-by-step explanation:
It is clear that the table is a linear function. That is, every hour, the amount of corn increases by the same amount. You can find the slope of the linear function by using the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
In your case, the number comes out to be 825. So the number of corn will be 825*10 = 8250 cu ft.
Now, we know that the volume is area times height. So if the area is pi * r * r, then the volume of the shape is 2888*pi.
Therefore, the answer is 8250/2888*pi or 90.93%.
Hoy Many times as great as 10% is 100% answer
Answers
Answer: 100% is 10 times as great as 10%
Step-by-step explanation: 10 * 10 = 100 or 100 divided by 10 equals 10. Have a nice day~
Answer:
um.....10
Step-by-step explanation:
100% (1) ÷ 10% (0.10) = 10
[tex]Hope[/tex] [tex]this[/tex] [tex]helps![/tex] [tex]Have[/tex] [tex]a[/tex] [tex]great[/tex] [tex]day![/tex] [tex]:)[/tex]
A farmer is planting a circular garden with a radius of 32 feet and needs to know the area to determine how many plants to purchase.
What is the area of the garden?
Use 3.14 for π.
Enter your answer, as a decimal, in the box.
Answers
Answer:
3215.36 ft^2.
Step-by-step explanation:
Area = 3.14 * r^2
= 3.14 * 32^2
= 3215.36 ft^2.
A penquin dives at 18 feet per minute how many minutes does it take to
dive to -54 feet?
3 Minutes
30 Seconds
5 Minutes
4 Minutes
Answers
Answer:
The answer would be (D) 4 minutes.
Step-by-step explanation:
18 x 4= 54
I have had this question before have an amazing day!!!!
Figure ABcD is a parallelogram. If point C lies on the line x=2, what is the y-value of point C?
Answers
The value of y in point C is 0. So, C is located at (2, 0) in the Cartesian plane.
Given that a parallelogram ABCD is shown in the Cartesian plane.
The points are:
A = (-1, 2)
B = (2, 3)
C = (2, y)
D = (-1, -1)
We are asked to find the value of y in the point C.
To find the value of y in point C, we can use the fact that the slope of line AB is equal to the slope of line DC, and the slope of line BC is equal to the slope of line DA.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:
slope = (y₂ - y₁) / (x₂ - x₁)
Let's calculate the slope of line AB and DC:
Slope of AB = (3 - 2) / (2 - (-1))
= 1 / 3
∴ Slope of DC = 1 / 3.
So,
1/3 = (y+1) / (2+1)
1/3 = (y + 1) / 3
y + 1 = 1
y = 0
Hence, we get the value of y in point C is 0.
[Note:- you can simply look at the graph and can determine the location of the point C]
Learn more about Cartesian plane click;
https://brainly.com/question/27927590
#SPJ4
Barnabas Price. Answer question attached. No reasoning required. Brainliest for first to answer correctly. Barnabas Price.
Answers
Y = 2.9
Or
X= 2.9, y= - 0.9
Hope this helps!
PLS HELP PLS I WILL GIVE BRAINLIST
Which punctuation mark goes in the space?
My sister stole a bunch of my things ______ my pants, shoes, and jackets.
Group of answer choices
None
Comma ,
Dash -
Colon :
Semi-Colon ;
Period.
Which punctuation mark goes in the space?
My sister stole a bunch of my things ______ except my favorite blanket.
Group of answer choices
None
Comma ,
Dash -
Colon :
Semi-Colon ;
Period.
Which punctuation mark goes in the space?
My sister stole a bunch of my things ______ because she's rude to me.
Group of answer choices
None
Comma ,
Dash -
Colon :
Semicolon ;
Which punctuation mark goes in the space?
My sister ____ who is rude to me, stole a bunch of my things.
Group of answer choices
None
Comma ,
Dash -
Colon :
Semicolon ;
Which punctuation mark goes in the space?
My sister stole my favorite thing ______ my jacket.
Group of answer choices
None
Comma ,
Dash -
Colon :
Semicolon ;
Period.
Which punctuation mark goes in the space?
If my sister steals one more of my things ______ I'm going to never talk to her again.
Group of answer choices
None
Comma ,
Dash -
Colon :
Semicolon ;
Which punctuation mark goes in the space?
I'm going to tell my dad ______ my mom - if my sister steals more of my things.
Group of answer choices
None
Comma ,
Dash -
Colon :
Semicolon
Which punctuation mark goes in the space?
My sister stole a bunch of my things ______ I'm going to tell my dad.
Group of answer choices
None
Comma ,
Dash -
Colon :
Period.
Which punctuation mark goes in the space?
My sister stole a bunch of my things ______ my dad will punish her for me.
Group of answer choices
None
Comma ,
Dash -
Colon :
Semicolon ;
Which punctuation mark goes in the space?
My sister stole a bunch of my things like ______ my pants, shoes, and jackets.
Group of answer choices
None
Comma ,
Dash -
Colon :
Semicolon ;
Answers
Answer:
1.colon
2. semicoln
3. comma
4. none
5. dash
6. comma
7. i am not sure but i think is a colon
8.comma
9. semicoln
10. dash
Step-by-step explanation:
You use colon when listing out something.
Sorry, I am not sure about this answer
Phoebe is concerned that it the error is not fixed, her pay increase wll be less in future
years than it is supposed to be. If Phoebe continues
to work al the company and receives.
an increase of $0.75 per hour instead of a 5% increase. what will be the difference in her
hourly pay in 5 years? Show vour work.
Answers
The difference in the pay rate of Phoebe in 5 years will be $11850
How to calculate the pay?Your information is incomplete. Therefore, an overview will be given. Let's assume that the pay rate is $20000. When there is a 5% increase, the new pay rate will be:
= $20000 + (5% × $20000)
= $20000 + $1000
= $21000
When there is $0.75 increase per hour, the new pay rate on 5 years will be:
= (0.75 × 43800)
= $32850
The difference will be:
= $32850 - $21000
= $11850
Learn more about pay on:
https://brainly.com/question/13592880
#SPJ1
pizzzzzzzzzzzzzzzzzzzzzzz help pizzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help
Answers
Answer:
1. The sum of the score is 667
2. ???
3. for her to have 95 on her last score the sum would be 762
4. ???
Step-by-step explanation:
1 = add all eight scores to get the sum
3 = add 95 to the sum of the eight scores
What is the Volume of the square pyramid? (Round to the nearest tenth as needed)
Answers
Answer:
5229 mm³
Step-by-step explanation:
Volume of square pyramid
[tex]\sf \boxed{Volume \ of \ the \ square \ pyramid = \dfrac{1}{3}*b^2*H}[/tex]
b = base length = 25 mm
H = height
We have to find 'H' using Pythagorean theorem,
slant height (hypotenuse) = 28 mm
leg₁ = base length ÷ 2 = 25÷2 = 12.5
leg₂ = H
H² + (12.5)² = 28²
H² = 784 - 156.25
= 627.75
[tex]\sf H = \sqrt{627.75}[/tex]
H = 25.01 mm
[tex]\sf \text{Volume of square pyramid =$\dfrac{1}{3}*25*25*25.1$ }[/tex]
= 5229 mm³
[tex]\sf \boxed{\text{Volume of square pyramid = \dfrac{1}{3}*25*25*28}}[/tex]
HELP ME PLEASEEEEE, DUE IN A FEW MINUTES!
Answers
Step-by-step explanation: 130
[tex]g(n) = 3n + 1[/tex]
[tex]h(n) = 4n + 3[/tex]
[tex](goh) (n)= g(h(n))[/tex]
[tex] = g(4n + 3) = 3(4n + 3) + 1[/tex]
[tex] = 12n + 9 + 1 = 12n + 10[/tex]
Therfore
[tex](gof)(n) = 12n + 10[/tex]
Now
[tex](gof)(10) = 12(10) + 10 = 120 + 10 = 130[/tex]
[tex](gof)(10) = 130[/tex]
I hope it helped you
Step-by-step explanation:
g(n) × h(n)
=(3n+1)(4n+3)
= 12n² +9n +4n +3
= 12n² +13n + 3
then sub 10 in place of n
12n² +13n + 3
= 12(10)²+13(10)+3
=1200+130+3
=1333
[tex] - 5 = a - 3[/tex]
I need help with this problem
Answers
[tex]~~-5=a-3\\\\\implies a =-5+3\\\\\implies a = -2[/tex]
The triangular base of the given prism has an interior angle with a measure of 80° and an interior angle with a measure of 55°. What is the measure of the unknown angle?
A. 45°
B. 65°
C. 75°
D. 85°
Answers
Answer:
A. 45°
Step-by-step explanation:
When we are given two measurements of interior angles we add both of those angles together.
Also know that a triangle equals 180 degrees
So when we write out this expression [tex]80+55+x=180[/tex]
[tex]135+x=180\\-135=-135\\x=45[/tex]
Hope this helps
Write an expression that is equivalent to 16 + 56 using the product of the greatest common factor and a sum. ____ • ( 2 + ____ )
Answers
Answer:
Factors of 56: 1, 2, 4, 7, 8, 14, 28 and 56
Prime Factorization of 56: 56 = 23 × 7
Step-by-step explanation:
What is the value of y in this system of equations?
Negative 6 x + 2 y = negative 18. Negative 3 x minus 2 y = 54.
Answers
Answer:
y = - 21
Step-by-step explanation:
System of equations:
- 6x + 2y = - 18
- 3x - 2y = 54
To find y will look to eliminate x:
- 6x + 2y = - 18
- 3x - 2y = 54 (multiply both sides by -2)
- 6x + 2y = - 18
6x + 4y = - 108
---------------------------- (add those two equations)
6y = - 126 (divide both sides by 6)
y = - 126/6 (simplify by 6)
y = - 21
Answer: -21
Step-by-step explanation: