Solve for the missing angle. Round to the nearest hundredth.
18
?
13
? =
degrees
Answers
Answer:
[tex]\theta \:=43.76^{\circ \:\:}[/tex]
Step-by-step explanation:
The right triangle has the hypotenuse = 18
Let 'Ф' be the missing angle
we know that
cos Ф = adjacent/hypotenuse
Here,
The adjacent to Ф = 13The hypotenuse = 18so
cos Ф = adjacent/hypotenuse
[tex]cos\:\theta \:=\frac{13}{18}[/tex]
[tex]\theta \:=\cos ^{-1}\left(\frac{13}{18}\right)[/tex]
[tex]=43.76^{\circ \:}[/tex]
Therefore, the missing angle is:
[tex]\theta \:=43.76^{\circ \:\:}[/tex]
Related Questions
The no. Of adel beads to that of claire's beads was the ratio 7 :4 .When adel gave 68 beads to claire the ratio become 25 :41 . How many beads did claire did claire have finally
Answers
Answer:
37 beads
Step-by-step explanation:
Given that:
Adel : Claire = 7 : 4
Let Adel be = A; &
Let Claire be = C
A: C = 7 : 4
[tex]\dfrac{A}{C} =\dfrac{7}{4}[/tex]
7C = 4A
[tex]C = \dfrac{4A}{7}[/tex] --- (1)
When Adel gave 68 beads to claire, we have:
C + 68 = 25:41
[tex]\dfrac{A}{C+68}= \dfrac{25}{41}[/tex]
25(C + 68) = 41A
C + 68 = [tex]\dfrac{41}{25}A[/tex]
[tex]C = \dfrac{41}{25}A - 68[/tex] --- (2)
Equating (1) and (2) together;
[tex]\dfrac{4 * A}{7} = \dfrac{41 *A}{25} - 68[/tex]
[tex]\dfrac{4 * A}{7}-\dfrac{41 *A}{25} = - 68[/tex]
[tex]\dfrac{100A - 287 A}{175} =- 68[/tex]
[tex]\dfrac{-187A}{175} = -68[/tex]
- 187 A = 175 × (-68)
-187 A = - 11900
A = - 11900/ -187
A ≅ 64
From; [tex]C = \dfrac{4A}{7}[/tex]
[tex]C = \dfrac{4*64}{7}[/tex]
C = 36.57
C ≅ 37 beads
Carrie earns $8.50 per hour for tutoring her little brother. How many hours must Carrie tutor to earn $408?
Answers
Answer:
48 hours
Step-by-step explanation:
The number of hours that Carrie must tutor to earn $408 will be 48 hours.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Carrie earns $8.50 per hour for tutoring her little brother.
Let x be the number of hours. Then the equation is given as,
8.50x = 408
Simplify the equation, then we have
x = 408 / 8.50
x = 48 hours
The number of hours that Carrie must tutor to earn $408 will be 48 hours.
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At the start of the month, the value of an investment was $53.92. By the end of the month, the value of the
investment changed by a loss of $17.40.
What was the value, in dollars, of the investment at the end of the month?
Answers
Answer:
$36.52
you're welcome :)
What effect can be observed because of the gravitational pull between Earth and the moon.
HURRY THIS IS DUE IN 11 MINUTES! I NEED ANSWERS ASAP!!!!!
Answers
Answer:
The moon's gravitational pull on the Earth is the main cause of the rise and fall of ocean tides.
Step-by-step explanation:
The moon's gravitational pull causes two bulges of water on the Earth's oceans—one where ocean waters face the moon and the pull is strongest and one where ocean waters face away from the moon and the pull is weakest.
Hope it helped!!
B is the midpoint of AC, D is the midpoint of CE, and AE = 21.
Find BD. The diagram is not to scale.
Please help
Geometry
Answers
Answer:
Required Answer:-[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}AE [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}21[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {21}{2}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf BD=10.5cm [/tex]
The line BD will be 10.5cm in the triangle ABC. Thus option D is correct.
What is a triangle?A closed shape with both inner and exterior angles, a triangular is created by three lines. the fundamental geometric shapes. a vertex-filled triangle. There is only one distinct triangle if the product of two fades on the sides is bigger than the longest side.
The value of AE is given as 21.
From the diagram that is given, it is indicated that according to the midpoint theorem
BD║AE
Also, BD= 1/2 ×AE
BD = 21/2
BD = 10.5 cm.
Therefore, option D is the correct option.
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The question is incomplete, the complete question will be :
A. 42
B. 21
C. 11.5
D. 10.5
Find the inverse of the function y = x2 – 12.
Answers
Answer:
y = √ x+12(square root of x+12)
Step-by-step explanation:
x = y^2 - 12
x+12 = y^2
y^2 = x+12
y = √ x+12
Answer:
Question 1. Find the inverse of the function y = x2 – 12.
B. y=+/- sqrt x+12 end sqrt
Question2. Find the inverse of the function y=2x2+2
D. y= +/- sqrt 1/2x-1 end sqrt
kaede's grades for math in first term are 70,80,60,90,100 . what is his average plz help me and thank u
Answers
Answer:80
Step-by-step explanation:
take 20 from 100 and give them to 60.
take 10 from 90 and give to 70.
adds ut to avg 80
What’s the answer to this? Thanks!
Answers
Answer:
D
Step-by-step explanation:
I used a triangle calculator I'm not really sure how to calculate it by hand. if the angle of sides 4 and 15 is set to 1 then the min is 11.33 and if the andle of sides 4 and 15 are set to 179 then the max is 18.99952
Sorry if this isnt enough, but i am sure.
Answer:
D. 11 < x < 19.
Step-by-step explanation:
The third side x is between 11 and 19 cm.
Consider sides AB (length 4) and BC (length 15) of the triangle.
Consider the angle between AB and BC is slightly less than 180 degrees. To get from point A to point C, we have to travel almost the entire length of A to C, which is from A to B and then B to C, so a bit less than 19 cm.
Consider the angle between AB and BC is slightly more than 0 degrees. To get from point A to point C, we subtract the length of AB (because we're already further along BC), so 15 - 4, a bit greater than 11.
Find a solution to the system. Make sure to write as a coordinate.
Answers
Answer:
x=2, y=3
Step-by-step explanation:
This is a system of equations.
To solve a system of equations, we use the substitution method.
We can plug in the first equation, [tex]x=2y-4[/tex], into the value for x in the second equation. Now, the second equation looks like this:
[tex]2*(2y-4)+y=7[/tex]
We simplify and solve for y:
→ [tex]4y-8+y=7[/tex]
→ [tex]5y=15[/tex]
→ [tex]y=3[/tex]
Now, we plug in the value for y, which is 3, into either equation. I will just use the first equation:
→ [tex]x=2*3-4[/tex]
→ [tex]x = 2[/tex]
Let me know if my explanation is unclear.
The solutions to the inequality y ≤ 2x − 4 are shaded on the graph. Which point is a solution?
(−1, 1)
(1, −1)
(3, 2)
(2, 3)
Answers
Answer:
it's the point (3, 2)
Step-by-step explanation:
Plug in 3 into x and plug in 2 into y. You will get 2≤2(3)-4. This ends up equalling 2≤2. THis is the answer cuz 2 is equal to or less than 2. :)
Answer:
C.✔(3, 2)
Step-by-step explanation:
E-2021
Zoe bought 11 chicken wings for $20.90. What's the unit cost of one wing?
Answers
Answer:
$1.90
Step-by-step explanation:
$1.90
Explanation:
$20.90 for 11
For 1= $20.90/11=$1.90
I hope this helped :)
Which system matches the graph below?
y = -4 x and y = 2 x - 3
y = -4 x and y = 2 x + 3
y = 4 x and y = 2 x - 3
y = -4 -x and y = 2 x - 3
Answers
Answer:
(a)
Step-by-step explanation:
[tex]y= -4^{x}[/tex] and y = 2x - 3
The floor of a room is 12m long and 7.5m broad i) Find the area of the floor ii) Find the cost of carpeting the floor at rs 80 per sq.m
(Unitary method)
Answers
A=90m^2
Cost=RS.7200
I hope that helps
Answer:
this is the formula that you want
Mrs. Billings has at most $60 to spend on the clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shirt cost $8. Write an inequality that could be used to find x, the number of t-shirts Mrs. Billings can buy. *
20 points
60≥22x-8
22x+8≤60
22-8x≥60
22+8x≤60
Answers
Answer:
I believe the answer is D.
Step-by-step explanation:
22= jeans 8x= 8 dollars PER shirt
All of this has to be less than or equal to $60 because that is all the money she has. I hope this helps!! Please mark me brainliest!!
Answer:
[tex] 22 + 8x \le 60 [/tex]
Step-by-step explanation:
She has at most $60, so the amount she spends is less than or equal to $60.
[tex] amount~she~spends \le 60 [/tex]
The jeans cost $22.
The shirts cost $8 each, so for x shirts, she'll pay 8x.
The total amount she spends is 22 + 8x. It must be less than or equal to 60.
[tex] 22 + 8x \le 60 [/tex]
What is 31.68 - 19.55 =
Answers
Answer:
12.13
Step-by-step explanation:
Please tell me if I'm correct!
Answer:
12.13
Step-by-step explanation:
almost due. would appreciate help please :)!!
Answers
please help , giving brainliest and a thanks!!
Answers
Answer:
E
Step-by-step explanation:
When the absolute value of a number is trying to be found, you take the number inside and if its a negative it turns to a positive and if its a positive inside then it stays the same.
Answer:
BDE, absolute value is how far away it is from 0 so it is BD and E
Step-by-step explanation:
It says select all that apply aswell which is why there is more then one answer
.
Solve the system of equations 3x + 2y = 22 and x - 2y = -6.
solve system of equations
Answers
Answer:
x=4
y=5
Step-by-step explanation:
inform me if u cant open the image
Answer:
(4,5)
Step-by-step explanation:
I solved through substitution
3x+2y=22
x-2y=-6 ----> -2y=-6-x ----> -2y=-x-6 -----> y=1/2x+3
Solving for x:
3x+2y=22
3x+2(1/2x+3)=22
3x+x+6=22
4x+6=22
4x=16
x=4
Solving for y:
x-2y=-6
4-2y=-6
-2y=-10
y=5
(4,5)
Which number line correctly shows 0.8 + 0.3?
Answers
Answer:
B
Step-by-step explanation:
Answer:
B. Is the correct way to show the problem.
Step-by-step explanation:
A: The number line is useless. It shows working backwards from the answer. You want to show how the answer was obtained. + goes right - goes left. Not A. This actually shows 1.1 - 0.8 - 0.3
C: C shows 0.8 - 0.3. Remember + goes right - goes left.
D: D is wrong. It shows 0.3 to 1.1 and then 0.3 back to 0.8. You are not doing that.
Can someone pls gave me an idea for a business letter.
U get brainliest if i like it!
Answers
Answer:
Try writing to your teacher, why students should have game time on Fridays.
Step-by-step explanation:
Children at school are getting worried about recent events, but letting kids play Video games will keep their minds more focus on the game, instead of their worries. Plus this can give teachers extra time to plan lessons or just take a relaxing break, teachers deserve it anyways.
How do I solve this equation?
Answers
Answer:
X = 4 X = -6
Step-by-step explanation:
X + 1 = 5 X + 1 = -5
X = 5 - 1 X = -5 -1
X = 4 X = -6
Answer:
Step-by-step explanation:
What absolute values of x will fit.
l4+1l=5
l -6+1l=5
Simplify the expression.
(42 − 2)2
Answers
Answer:
80
Step-by-step explanation:
First subtract 42 - 2
Now that will leave you with 40 x 2
Which equals 80
Answer:80
help again:)!
Mr. Phuong stayed in a hotel room for 2 nights that cost $210. The hotel room tax rate is 12%. What is the total cost for the hotel room?
Answers
Answer:
$235.2
Step-by-step explanation:
$210 * (100%+12%)
= $210 * 112%
= $210 * 1.12
= $235.2
Hope this helped!
Answer:
The final answer is $470.40.
Step-by-step explanation:
210 x 2 = $420
To find the final price including tax, we must find 12% of $420.
420 x 0.12 = $50.4
Now, we must finalize the price by adding the tax to the price without tax.
$420 + $50.4 = $470.40
Therefore, the final cost for the hotel room is $470.40.
Hope this helps you out! :)
How do I Find x, y and z
Answers
Answer: to solve the 3 unknown variables X, Y and Z in a set of 3 equations. Each equation has containing the unknown variables X, Y and Z. This 3 equations 3 unknown variables solver computes the output value of the variables X and Y with respect to the input values of X, Y and Z coefficients. In mathematic calculations, there are many situation arises where the usage of equation containing 3 unknown variables need to be solved prior to go further with the calculations. Therefore when it comes to online calculation, this Find the value of X, Y and Z calculator is an essential tool to assist you to find out the variable values given in the equation.
Step-by-step explanation: X = 2
Y = -1
Z = 1
whats 9-7 1/4 ASAP PLEASE
Answers
Answer:
The answer is 1 3/4
Answer:
1 3/4
Step-by-step explanation:
7 1/4 + 1 3/4 = 9
Please choose my answer as the most helpful if it is. I want brainliest. :)
How many times smaller is a group of 4 coins than a group of 16 coins?
Answers
Answer:
4 times.
Step-by-step explanation:
16/4 = 4.
Hope this helped!
Question: In Boston, Massachusetts, there is a 60% probability of rain on a specific day. How was this probability most likely determined?
Options:
A. On this day each year, it rains 60% of the time.
B. On days with similar conditions as this day, it has rained 60% of the time in Massachusetts.
C. During this month, it rains 60% of the days.
D. On days with similar conditions as this day, it has rained 60% of the time in Boston, Massachusetts
E. The probability was determined randomly.
Answers
Answer:
On days with similar conditions as this day, it has rained 60% of the time in Boston, Massachusetts
Step-by-step explanation:
I got it right on the quiz
The correct answer is "On days with similar conditions as this day, it has rained 60% of the time in Massachusetts."
What is probability?Probability is the possibility of happening an event.
Given that, there is a 60% probability of rain on a specific day.
Therefore, it rained 60% of the time on that day.
Hence, the correct answer is "On days with similar conditions as this day, it has rained 60% of the time in Massachusetts."
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Welcome, Sanjay McCall!
Connection Status: G
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Question 3 of 20 -
E
ZahraouiAziz Midterm Geometry Pt 1 2020-2021 Question: 134
A line segment has an endpoint at (4.6). If the midpoint of the line segment is (1,5), what are the.coordinates of the point at the other endorine ne segment?
O (3, 1)
O (-2,4)
O (7.7)
O (5, 11)
Chrome OS. 28m)
Switched network connection
Your connection
has switched td al
Previous
O
Fo
Answers
Answer: most likely be (7,7) not sure right or wrong but i tried so yeah
Step-by-step explanation:
Write an algebraic rule to describe the relationship in the table.
Answers
Answer:
um idrk lol but I LIKE UR CUT G!!!!
How would I unrationalize this fraction?
I am trying to find the cotangent in simplest form
Answers
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[tex] \cot(teetha) = - 1[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The cotangent in simplest form is -1.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
cos θ = √2 / 2
We know that from trigonometric ratio,
[tex]cos \theta = \frac{Adjacent}{Hypotenuse}[/tex] , [tex]cot \theta = \frac{Adjacent }{ Opposite }[/tex]
So, the adjacent side = √2 and the hypotenuse side = 2.
The other side of the right triangle can be found by Pythagoras theorem,
[tex]hypotenuse^{2}=adjacent^{2}+opposite^{2}[/tex]
⇒ [tex]2^{2}=(\sqrt{2} )^{2} +opposite^{2}[/tex]
⇒ [tex]opposite^{2} = 4-2[/tex]
⇒ [tex]opposite = \sqrt{2}[/tex]
Thus, [tex]cot \theta = \frac{\sqrt{2} }{\sqrt{2} }[/tex]
⇒ [tex]cot \theta = 1[/tex]
Since cot θ < 0, [tex]cot \theta = - 1[/tex]
Hence we can conclude that the cotangent in simplest form is -1.
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