find the measure of the indicated angle to the nearest degree. Show the work please.
Answers
Answer: 1) 65° 2) 17° 3) 53° or 37°
Step-by-step explanation:
[tex]1.\quad \cos \theta=\dfrac{adjacent}{hypotenuse}\\\\\\.\quad \quad \cos \theta=\dfrac{3}{7}\\\\\\.\qquad \qquad \theta=\cos ^{-1}\bigg(\dfrac{3}{7}\bigg)\\\\\\.\qquad \qquad \theta =65^o[/tex]
[tex]2.\quad \tan \theta =\dfrac{opposite}{adjacent}\\\\\\.\quad \quad \tan\theta =\dfrac{8}{26}\\\\\\.\qquad \qquad \theta =\tan ^{-1}\bigg(\dfrac{4}{13}\bigg)\\\\\\.\qquad \qquad \theta = 17^o[/tex]
3. Which angle do you need? I solved for both:
Bottom Right Top Left
[tex].\qquad \cos \theta=\dfrac{adjacent}{hypotenuse}\qquad \qquad \sin \theta = \dfrac{opposite}{hypotenuse}\\\\\\.\quad \quad \cos \theta=\dfrac{14}{23}\qquad \qquad \qquad \qquad \sin \theta=\dfrac{14}{23}\\\\\\.\qquad \qquad \theta=\cos ^{-1}\bigg(\dfrac{14}{23}\bigg)\qquad \qquad \quad \theta=\sin ^{-1}\bigg(\dfrac{14}{23}\bigg)\\\\\\.\qquad \qquad \theta =53^o\qquad \qquad \qquad \qquad \quad \theta =37^o[/tex]
Question 1:
cosθ = adj/hyp
cosθ = 3/7
θ = cos^-1(3/7)
θ = 65
Questions 2:
tanθ = opp/adj
tanθ = 8/26
θ = tan^-1(4/13)
θ = 17
Question 3:
Top left:
sinθ = opp/hyp
sinθ = 14/23
θ = tan^-1(14/23)
θ = 37
Bottom Right:
cosθ = adj/hyp
cosθ = 14/23
θ = cos^-1(14/23)
θ = 53
Best of Luck!
Related Questions
Solve the equation for x.
x2 = 25
Answers
Answer:
x = 12.5
Step-by-step explanation:
x2 = 25 Divide both sides by 2
x = 12.5
Answer:
[tex]\huge\boxed{x = \± \ 5}[/tex]
Step-by-step explanation:
[tex]\sf x^2 = 25[/tex]
Taking sqrt on both sides
[tex]\sf \sqrt{x^2} = \sqrt{25}[/tex]
x = ± 5
According to a November 2019 report by CNN, the startup company Heliogen has devised a high-heat solar oven that can be used to create concrete and steel without the use of fossil fuels. Currently, the creation of these materials produces 7% of the world's carbon emissions from fossil fuels. If the world's total carbon emissions in 2018 was 37.1 billion tons, how much of that carbon came from the creation of these building materials? Give your answer in billions of tons. Round to two decimal places.
Answers
Answer:
37,1bilion tons*0,07=2,60 bilion tons (2d.p.)
Step-by-step explanation:
Write the polynomial in standard form that represents the perimeter of the quadrilateral
3x - 2
2x
12x+1
5x - 2
The solution is
Answers
Answer:
Linear function
Step-by-step explanation:
4
The polynomial in a standard form that represents the perimeter of the quadrilateral is [tex]22x-3[/tex].
Important information:
The side lengths of a quadrilateral are [tex]3x-2,2x,12x+1,5x-2[/tex].We need to find the polynomial in a standard form that represents the perimeter of the quadrilateral.
Standard form of Polynomial:The perimeter of the quadrilateral is the sum of all of its sides.
[tex]\text{Perimeter}=3x-2+2x+12x+1+5x-2[/tex]
[tex]\text{Perimeter}=22x-3[/tex]
Therefore, the polynomial in a standard form that represents the perimeter of the quadrilateral is [tex]22x-3[/tex].
Find out more about 'Standard form of Polynomial' here:
https://brainly.com/question/12464670
On a coordinate plane, a line goes through points (0, 1) and (3, negative 1). Consider the graph of the line. Using the rise/run counting method, the slope of the line is .
Answers
Answer: The slope of the line is -2/3.
Step-by-step explanation:
How I think of it is that on the y plane on a graph, going from positive 1 to negative 1 you need to move down 2 places and thats the "rise" part of rise over run eventhough you moved down. Then on the x plane, going from 0 to 3 you need to move 3 spaces to the right on the graph and thats the "run" part of rise over run because you can either move left or right. Rise over run can also be thought of as change in y over change in x which means that since i went down 2 places on the y, the change in y was 2 and since we moved 3 places over on the x plane the change in x whould be 3. Since we move down and then to the right on the graph, the line being created would be negative, so you final answer for the slope is -2/3!
I hope this helps :)
Answer:
-2/3
Step-by-step explanation:
Hope this helps!
Why is√5 irrational?
A.)because it is less than one
B.)because it has no opposite
C.)because all square roots are irrational
D.)because it cannot be expressed as a ratio of integers
Answers
Answer: The expression x(x + 1) is even for any integer x (since either x or x + 1 is even). So this says that 5 × even + 1 = even, or odd = even. Since there is no integer that is both even and odd, we have reached a contradiction and √5 is irrational. So the answer would be D.) because it cannot be expressed as a ratio of integers
determine any data values that are missing from the table assuming that the data represent a linear function
Answers
Answer:
I think D
Step-by-step explanation:
I hope it's right and I hope you mark me brainlist
Answer:
the answer is b. missing x:1 missing y:2
Step-by-step explanation:
A store had a grand opening sale. During the sale, each person entering the store received
a coupon for 10% off their entire purchase. The table lists the number of people who received
a coupon.
Answers
If B is the midpoint of AC. AB = 4v and AC = 5v + 24. what is BC?
Answers
Answer:
v+24
Step-by-step explanation:
I first drew a line with A in one side and C in the other side. Then, I put B in the middle, as it is the midpoint. Under AB, I put 4v, and under AC, I put 5v+24. To get BC, you must subtract 5v+24 and 4v. I did 5v+24-4v. All I really had to do was subtract 4v from 5v which gave me v, since I can only subtract like-term numbers. Anyway, after that, I got v+24. Hope this helped!
need help asap!!!! plsss i have 5min
Answers
Answer:
30
Step-by-step explanation:
x=10
x^2+3x-130=0
x=10 or -13
there is no negative angle so the answer is ten
A medical secretary maintains the accounts and writes the paychecks
for a medical office complex. There are 36 people on the payroll. Eight people earn $10 per hour, eleven people earn $15 per hour, four people earn $18 per hour, six people earn $21 per hour, and seven people earn $26 per hour. If everyone works 40 hours per week, what is the total amount of money needed for the payroll each week?
Answers
Answer:
$25,000
Step-by-step explanation:
8 x $10 = 80 x 40 = $3,200
11 x $15 = 165 x 40 = $6,600
4 x $18 = 72 x 40 = $2,880
6 x $21 = 126 x 40 = $5,040
7 x $26 = 182 x 40 = $7,280
3200 + 6600 + 2880 + 5040 + 7280 = $25,000
I hope this helps!
-TheBusinessMan
identify the degree of the polynomial x^2y+5xy^3-7y^2+2
Answers
We have three parts of the equation with a power:
x^2y, 5xy^3, and 7y^2
We can find the degree of each by the following:
x^2y; 2 + 1 = 3
5xy^3; 1 + 3 = 4
7y^2; 2
Therefore, the highest degree is 4.
Best of Luck!
Customer arrivals at a bank are random and independent; the probability of an arrival in any one-minute period is the same as the probability of an arrival in any other one-minute period.
A. What is the probability of exactly three arrivals in a one-minute period?
B. What is the probability of at least three arrivals in a one-minute period?
Answers
Answer:
0.2240418 ; 0.57681
Step-by-step explanation:
Given the information above :
A) What is the probability of exactly three arrivals in a one-minute period?
Using poisson probability function :
p(x ; m) = [(m^x) * (e^-m)] / x!
Here, m = mean = 3, x = 3
P(3 ; 3) = [(3^3) * (e^-3)] / 3!
P(3;3) = [27 * 0.0497870] / 6
= 1.3442508 / 6
= 0.2240418
B) What is the probability of at least three arrivals in a one-minute period?
Atleast 3 arrivals
X >= 3 = 1 - [p(0) + p(1) + p(2)]
P(0 ; 3) = [(3^0) * (e^-3)] / 0! = (1 * 0.0497870) / 1 = 0.0497870
P(1 ; 3) = [(3^1) * (e^-3)] / 1! = (3 * 0.0497870) / 1 = 0.1493612
P(2 ; 3) = [(3^2) * (e^-3)] / 2! = (9 * 0.0497870) / 2 = 0.2240418
1 - [0.0497870 + 0.1493612 + 0.2240418]
1 - 0.42319 = 0.57681
what is 48 divide by -6 =
Answers
Answer:
-8
Step-by-step explanation:
any number divided by a nega is going to be neg if it is multiplied by two nega's its positive.
which expression equals
[tex]9 \sqrt[3]{10} [/tex]
Answers
Answer:
B on edge
Step-by-step explanation:
5^3sqrt10+4^3sqrt10
what is the product?
x^2 -16 • x^3 - 2x^2 + x———— ——————–—
2x +8 x^2 +3x -4
Answers
Answer:
A) x(x-4)(x-1)/2(x+4)
Step-by-step explanation:
(x²-16)/(2x+8) * (x³-2x²+x)/(x²+3x-4)
factor
(x+4)(x-4)/2(x+4) * x(x-1)(x-1)/(x+4)(x-1)
You can take out both (x+4) from the first side, and both (x-1) on the second side. Then you’re left with:
(x-4)/2 * x(x-1)/(x+4)
which equal
x(x-4)(x-1)/2(x+4)
which is A.
If five less than y is six more than x + 1, then by how
much is x less than y?
Answers
Answer:
12 more
Step-by-step explanation:
y-5= 6+ (x+1)
5+6+1=12
x is 12 less than y.
Five less than y is six more than x + 1,
y - 5= 6 + (x + 1)
5 + 6 + 1 = 12.
What are the steps in solving linear equations in one variable?Step 1: Simplify each side, if needed.Step 2: Use Addition/Subtraction Properties to move the variable term to one side and all other terms to the other side.Step 3: Use Multiplication/Division.Step 4: Check your answer.Learn more about linear equations here: https://brainly.com/question/14323743
#SPJ2
{12÷(9−6)}+4×6{12÷(9−6)}+4×6
Answers
Answer:
56
Step-by-step explanation:
9-6=3
12 divided by 3 is 4
4x6=24
24+4=28
Do the same to the other side and you get 28
28+28=56
Hope it’s right
a rectangular shape waiting room has an area 120ft and a perimeter of 44 ft.what are the dimensions?
Answers
Answer: W * L = 120
2W + 2L = 44
2W = 44 - 2L
W = 22 - L
(22-L) * L = 120
22L - L² = 120
L² - 22L = -120
L² - 22L + 121 = 121 - 120
(L - 11)² = 1
L - 11 = ±1
L = 11 ± 1
L = 10 or 12
Dimensions: 10 * 12
Step-by-step explanation: write it on paper
How many models of 100 do you need to model 7,600? Enter the number. Then complete the explanation.
Answers
Answer:
76
Step-by-step explanation:
Well if you simply multiply 100x76 you would get 7,600. Or if you still have not learned to multiply just add 76+76 on a calculator until you get 7,600.
On a coordinate plane, a curved line crosses the x-axis at (negative 1, 0), and crosses the y-axis at (0, negative 3). What are the intercepts of the graphed function? x-intercept = (–1, 0) a y-intercept = (–3, 0) b x-intercept = (0, –1) c y-intercept = (0, –3) d x-intercept = (0, –1) e y-intercept = (–3, 0) f x-intercept = (–1, 0) g y-intercept = (0, –3)
Answers
Answer:
It’s d on edge
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Edge
Find R U S, given the following sets:
P = {b, d, f, g}
Q = {a, b, c, d}
R = {c, e, f, g}
S = {a, d, g}
Answers
Answer:
(RUS)={ a,c,d,ef,g}
Step-by-step explanation:
All the number of alphabets present in R and S will be the union of set R and S
7a+1+3=18
Please answer quickly!
Answers
Answer:
2
Step-by-step explanation:
So we have the equation:
[tex]7a+1+3=18[/tex]
Add 1 and 3:
[tex]7a+4=18[/tex]
Subtract 4 from both sides:
[tex]7a=14[/tex]
Divide both sides by 7:
[tex]a=2[/tex]
And we're done!
combine like terms.
7a+4=18
subtract 4 from 18
7a=14
divide 14 by 7
a=2
Please answer quickly!
translate into words
5+x
Answers
Five added to the number, x.
Step-by-step explanation:
Five represents (5)
added to represents (+)
The number, x. represents (x)
On a family dinner table there are two plates for everybody, and only one plate for little Katelyn. 10 people and Katelyn came to the dinner. How many plates were on the table?
Answers
Answer:
21 plates
Step-by-step explanation:
10 people each got two plates, 10 x 2 = 20.
Plus Katelyn's plate, 20+ 1 = 21.
Hope this helps!
Answer:
its actually 21 plates
Step-by-step explanation:
10×2=20+1=21
The common fraction for 4.759
Answers
Brianna has $75 saved. She works $12 per hour babysitting.
Part 1: Write an expression that represents how much money Brianna will
have total after workingh hours.
Part 2 How much money will she have after babysitting for 6.5 hours?
Answers
Answer:
$75 + $12x
$153 if you add the money she already had, $78 if you don't
Step-by-step explanation:
Can you guys help me how to answer thus
Answers
Answer:
a, 32
b, -58
Step-by-step explanation:
a) g(0) = 6 - 0^2 = 6
--> f(g(0)) = 4 . 6 + 8 = 32
b) f(0) = 4 . 0 + 8 = 8
--> g(f(0)) = 6 - 8^2 = 6 - 64 = -58
Which angles are corresponding angles?
Check all that apply.
2
1
4
3
5 6
В
7
D A. 4 and 8
B. 2 and 6
C. 4 and 6
D. 2 and 7
E. 3 and 6
F. 3 and 7
Answers
Answer:
E
Step-by-step explanation:
Answer:
The answer is E
Step-by-step explanation:
Hope this answer is helpful...
Hope this answer is helpful...
Hope this answer is helpful... Make me as brainliest....
A book has 89 pages, but the page numbers are printed incorrectly. Every third page number has been omitted, so that the pages are numbered 1,2,4,5,7,8,... and so on. What is the number on the last printed page?
Answers
Answer:
89
Step-by-step explanation:
There are only 30 pages but last page number is 89.
The last page of the book would be with the number 89. For details, check the calculations below.
Number SystemThe number system is characterized as the arrangement or sequence in which the numbers are arranged in a mathematical order beginning from 0 in whole numbers.
In the given situation,
We know that,
Total pages available in the book = 30
And every third page is omitted from the book due to misprinting of the page numbers.
If we divided 90/3 = 30 pages are there. Hence, the last page would be 89 itself.
Thus, the above response is correct.
Learn more about "Numbers" here:
brainly.com/question/17429689
Find an explicit formula for the arithmetic sequence -11, -3,5, 13, ....
b(n) =
Answers
Assuming the first term that you listed is the first term of the sequence, the answer should be:
b(n) = -19 +8n