Instructions: Find the measure of the indicated angle to the nearest
degree.
12
?
36
?
=
Answers
To find the indicated angle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.
Remember: SOH-CAH-TOA
Looking from the angle, we know the adjacent side and the hypotenuse. Therefore, we should use cosine to solve.
cos(x) = 12/36
x = cos^-1(12/36)
x = 71 degrees
Hope this helps!
Related Questions
The sides OP and RO of triangle POR are produced to points S and T respectively. If ∠SPR = 145° and ∠POT = 115° , find ∠PRO
Answers
Answer:
[tex]\angle PRQ = 80[/tex]
Step-by-step explanation:
Given
[tex]\angle SPR = 145^o[/tex]
[tex]\angle POT = 115^o[/tex]
See attachment
Required
Find [tex]\angle PRO[/tex]
First, calculate [tex]\angle RPO[/tex]
[tex]\angle RPO + \angle SPR = 180[/tex] --- angle on a straight line
So, we have:
[tex]\angle RPO + 145 = 180[/tex]
Collect like terms
[tex]\angle RPO = 180 - 145[/tex]
[tex]\angle RPO = 35[/tex]
Next, calculate PQR
[tex]\angle POR + \angle POT = 180[/tex]
So, we have:
[tex]\angle POR + 115 = 180[/tex]
Collect like terms
[tex]\angle POR = 180-115[/tex]
[tex]\angle POR = 65[/tex]
So, PRO is calculated as:
[tex]\angle PRO + \angle POR + \angle RPO = 180[/tex] --- angles in a triangle
So, we have:
[tex]\angle PRO + 65 + 35= 180[/tex]
[tex]\angle PRO + 100= 180[/tex]
Collect like terms
[tex]\angle PRO = 180-100[/tex]
[tex]\angle PRO = 80[/tex]
Find the equation of the line.
Use exact numbers.
y= x+
Answers
[tex]\text{Solve for 'x':}\\\\3(x+1)=12+4(x-1)[/tex]
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = -5[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\3(x+1)=12+4(x-1)\\----------\\\rightarrow 3x + 3 = 12 + 4x - 4\\\\\rightarrow 3x + 3 = 12 -4+4x\\\\\rightarrow 3x + 3 = 8 + 4x\\\\\rightarrow 3x + 3 = 4x + 8\\\\\rightarrow3x + 3 -3 = 4x + 8 - 3\\\\\rightarrow 3x = 4x + 5\\\\\rightarrow 3x - 4x = 4x - 4x + 5\\\\\rightarrow -x = 5\\\\\rightarrow \frac{-x=5}{-1}\\\\\rightarrow \boxed{x = -5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
x=-5Step-by-step explanation:
3(x+1)=12+4(x-1)
3(x+1)=8+4x
3x+3=8+4x
3x+3−4x=8
-x+3=8
-x=8-3
-x=5
-x(-1)=5(-1)
-x(-1)=-5
x=-5
Can some help? Plz :)
Answers
Answer:
C. 1.05 x 10^7
Step-by-step explanation:
1.75x10^4 x 600
=1050 x 10^4
=1.05 x 10^7
Find an equation of a line with a slope of -4 and having
the point (2,0) on the line. Then graph the line.
Answers
Answer:
y = -4x + 2
Step-by-step explanation:
The formula for slope is: y = mx + b
Where m is slope and b is when the line intersects the y-axis.
Plug in:
y = -4x + 2
The two is the point in the line, and -4 is the slope.
Hope this helps.
Plz help out will give brainliest
Answers
Answer:
4
Step-by-step explanation:
Sum of interior angles in a triangle is 180,
41 + 26u + u + 31 = 180
26u + u + 41 + 31 = 180
27u + 72 = 180
27u = 180 - 72
27u = 108
u = 108 / 27
u = 4
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
Here given
one angle =26u2nd angle =41°3rd angle=u+31°.we know that
[tex]\sf{ sum~ of~ 3 ~angles ~of~ a ~triangle~ is ~180° }[/tex]
According to the question,
26u+41+u+31=18027u+72=18027u=180-7227u=108u=108/27u=4°Therefore:-
The value of u is 4°
Câu 1: Giá trị
2
3
2020 -5 lim
- 2020
n
n n
bằng:
A.
2.
B.
.
C.
0.
D.
2
.
3
Answers
Answer:
i dont understan your language plz speak in englosh
en una carrera de 5 vueltas de la F1 online el jugador 1 consigue un tiempo de 2,32 minutos y el jugador 2 consigue 18 segundos mas que el jugador 1 en la segunda vuelta el jugador 1 obtiene un tiempo de 2,52 minutos y el jugador 2 20 segundos menos que el jugador 1, en la tercera vuelta ambos jugadores consiguen un tiempo de 2,18 minutos ¿Cual es la diferencia en el tiempo total de la carrera entre los jugadores 1 y 2?
Answers
Answer:
La diferencia del tiempo total de carrera entre el jugador 1 y 2 es 0.0[tex]\overline 3[/tex] minutos
Step-by-step explanation:
Primera vuelta;
El tiempo de vuelta del jugador 1 = 2,32 minutos
El tiempo de vuelta del jugador 2 = 18 segundos más que el del jugador 1
Por lo tanto, el tiempo de vuelta del jugador 2 = (2,32 + 18/60) minutos = 2,62 minutos
Segunda vuelta
El tiempo de vuelta del jugador 1 = 2,52 minutos
El tiempo de vuelta del jugador 2 = 20 segundos menos que el del jugador 1
Por lo tanto, el tiempo de vuelta del jugador 2 = (2.52 - 20/60) minutos = 2.18[tex]\overline 6[/tex] minutos
Tercera vuelta
El tiempo de vuelta del jugador 1 = 2,18 minutos
El tiempo de vuelta del jugador 2 = 2,18 minutos
El tiempo de vuelta total del jugador 1 = (2,32 + 2,52 + 2,18) minutos = 7,02 minutos
El tiempo de vuelta total del jugador 2 = (2,62 + 164/75 + 2,18) minutos = 524/75 minutos = 6.98[tex]\overline 6[/tex] minutos
La diferencia del tiempo total de carrera = (7.02 - 524/75) minutos = (1/30) minutos = 0.0[tex]\overline 3[/tex] minutos
Explain the relationship of the meaning of the word isometric to the properties of an isometric or rigid transformation
Answers
Step-by-step explanation:
The iso parts of isometric means same, and It is similar becuase rigid trtransformation and the metric parts means measure. Basically isometric means same measure. Rigid transformation preserve "same measures" like angles and side lengths.
The ages of several trees in a park are shown below:
2 years, 28 years, 2 years, 20 years, 22 years
What is the mean age of these trees?
56 years
12 years
14.8 years
26 years
Answers
Answer:
C or 14.8
Step-by-step explanation:
You just find the mean.
Arrange the numbers, add them then divide by the amount of numbers.
Hope it helps c:
ahla
S : Assignment
乡,一石
Answers
Answer
what's the question?
Step-by-step explanation:
looks like your question is missing information
if x ---> y and y --> z , which statement would be true
Answers
Answer:
Both the statements can be true
Step-by-step explanation:
this means x---> z
write the equation of the line that goes through points (0,4) (6,16)
Answers
Answer: Y= 2x
Step-by-step explanation:
Answer:
y=2x-4
Step-by-step explanation:
firstly find the gradient
m=y2-y1/x2-x1
16-4/6-0
12/6
m=2
then use the equation to find the answer
y-y1=m(x-x1)
y-4=2(x-0)
y-4=2x-0
y=2x-4
Find the missing variables
Answers
Answer:
90
Step-by-step explanation:
Answer:
[tex] \cos(60) = \frac{9}{a} \\ \frac{1}{2} = \frac{9}{a} \\ a = 18 \\ \\ \\ \tan(60) = \frac{b}{9} \\ \sqrt{3} = \frac{b}{9} \\ b = 9 \sqrt{3} [/tex]
I hope I helped you ^_^
Mackenzie is designing a rectangular greenhouse. Along one wall is a 7-foot storage area and 5 sections for different kinds of plants. On the opposite wall is a 4-foot storage area and 6 section for plants. All the plant sections are equal length. What is the length of the wall?
Answers
Answer:
3 ft
Step-by-step explanation:
4 + 6x = 7 + 5x
6x - 5x = 7 - 4
x = 3
PLEASE HELP!
The distance to the nearest exit door is less than 100 feet.
Use d to represent the distance (in feet) to the nearest exit door.
Answers
Answer:
d < 100
Step-by-step explanation:
the distance is less than (<) 100 ft
d < 100
The sentence translates to the inequality d < 100
There's not much else to say about this problem. We just simply replace the "less than" wording with its corresponding symbol. We can think of the inequality sign as an alligator mouth that always wants to eat the larger value (so the open ended side is facing toward the larger value).
Which are the
solutions of x2 = -7x - 8?
Answers
Answer: I think the answer is D
Step-by-step explanation:
Answer:
D is the answer (The last option)
Step-by-step explanation:
what is the equation of linear regression that fits the data
Answers
Answer:
Option D
Step-by-step explanation:
From the table attached,
Ordered pairs to be plotted → (1, 472.08), (2, 454.26), (3, 444.95), (4, 439.49), (5, 436.55)
By using linear regression calculator,
Equation of the regression line → y = -8.583x + 475.215
Option D will be the answer.
I need help on this this is very hard. I need the answer right now. Wrong answer=report
Answers
Please help. Somebody give an answer to this question please. I need a step by step explanation as well.
Answers
Answer:
15d² + 7d - 4
Step-by-step explanation:
Distribute
(5d + 4)(3d -1)
5d (3d - 1) + 4(3d - 1)
Distribute
15d² - 5d + 4(3d- 1)
Distribute
15d² - 5d + 12d- 4
Simplify
15d² + 7d - 4
15d^2+7d-4
STEP BY STEP:
you can use F.O.I.L. to solve this (first,outer,inner,last)
first you multiply both of the first values in each set of parentheses, 5d and 3d to get 15d^2, then you multiply the terms on the outside, 5d and -1 to get -5d. then multiply the inner values, 4 and 3d to get 12d. because 12d and -5d are like terms, you combine them to get 7d. lastly, you multiply the last values in each parentheses, 4 and -1 to get -4
Third-degree, with zeros of −3, −1, and 2, and passes through the point (1,8).
Answers
Answer:
y=-(x+3)(x+1)(x-2)=-x^3-2x^2+5x+6
Step-by-step explanation:
If the zeros are:
x1=-3
x2=-1
x3=2
then the function is:
y = a (x-x1) (x-x2) (x-x3) = a (x+3) (x+1) (x-2)
y = a (x^3+2x^2-5x-6)
To find the value for "a" we use the information that, if x=1, then y=8:
y = a (1+2-5-6) = a (-8) = 8 therefore a=-1
So:
y=-(x+3)(x+1)(x-2)=-x^3-2x^2+5x+6
question on image
....
Answers
Answer:
1/5
Step-by-step explanation:
8/40->4/20->2-10->1/5
Hope this helps!
Answer:
1\5
Step-by-step explanation:
8/40 = 4/20 = 2/10 = 1/5
Find the volume of the prism
Answers
Answer:
A prism is a polyhedron with two parallel, congruent faces called bases that are polygons
Suppose you invest $1800 at an annual interest rate of 3.3% compounded
continuously. How much will you have in the account after 1.5 years?
Answers
Answer:
$1,890
Step-by-step explanation:
To find the amount, we use the compound interest formula here
we have this as;
A = P(1 + r/n)^nt
Where ;
P is the amount invested which is $1,800
r is the interest rate which is 3.3% annually (3.3/100 = 0.033)
n is the number of times yearly interest is compounded which is 1 time yearly
t is the number of years which is 1.5 years
substituting these values, we have
A = 1800( 1 + 0.033)^(1 * 1.5)
A = 1,890
Sarah used 3/4 pound of blueberries to make 2/3 cup of jam. How many pounds of blueberries are needed per cup of jam?
Answers
3/4÷ 2/3= 3/4*3/2= 9/8= mixed fraction 1 1/8 pounds.
how do I solve this pls help khan academy is no smart
Answers
Answer:
3. If that doesn't work, try 1/3
Step-by-step explanation:
Figure A has a length of 9 and figure B has a length of 3. 9 divided by 3 is 3.
If the number of degrees in a certain angle added to the number of grades in the angle is 76, find the angle in degrees.
Answers
x+(10/9)x=(19/9)x=76
x=(76*9/19)=36
Câu 1: Trong các mệnh đề sau, mệnh đề nào là không đúng ?
A. Nếu a // b và (α) vuông góc a thì (α) vuông góc với b
B. Nếu (α) // (β) và a vuông góc với (α) thì a vuông góc với (β)
C. Nếu a và b là hai đường thẳng phân biệt và a vuông góc (α), b vuông góc với (α) thì a // b
D. Nếu a // (α) và b vuông góc a thì b vuông góc (α)
Answers
Answer:
Hey can you ask this question in English so I can no answer this question in English and then you can convert that my answer in your language as you're I'm Indian so I don't know this language
Step-by-step explanation:
Please don't you think that I'm doing this for points I think I should know this question so can you please answer this you're this and English
Venn diagram of b union b
Answers
Answer:
let b union b be
B={2,4,6,8} and B= {1,2,3,4,5}
then B union B = {1,2,3,4,5,6,8}
Step-by-step explanation:
Venn diagram of b union b is in the attachment
Hope it is helpful to you
Calculate the volume of each solid. Use 3.14 for pi. Round answers to the nearest whole number.
Answers
Answer:
See below.
Step-by-step explanation:
Rectangle Volume = Length x Width x Height
Rectangle Volume = 15 x 6 x 8
Rectangle Volume = 720 in^2
Cube volume = s^3
Cube volume = 9^3
Cube volume = 729
Cylinder Volume = [tex]\pi[/tex]r^2h
Cylinder Volume = [tex]\pi[/tex]4^214
Cylinder Volume = [tex]\pi[/tex]1614
Cylinder Volume = [tex]224\pi[/tex]
Answer
720, 729, 703
Step-by-step explanation:
your welcome
