Find all the missing elements.
Round to the nearest tenth.
a = 5
b = 2
C = 6
A= [?]°
B = [ ]
C = [ ]
![Find All The Missing Elements.Round To The Nearest Tenth.a = 5b = 2C = 6A= [?]B = [ ]C = [ ]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/NlWGuXSkoa3KQdXnKkf5qAEpy2TgeLl5.png)
Answers
Answer: A= 51.3 B= 18.2 C=110.5
Step-by-step explanation:
The missing elements in the triangle are A ≈ 3.992°, B ≈ 170.008°, and c ≈ 5.4 units
To find the missing angle 'A', we can use the law of cosines, which states that for any triangle with sides 'a', 'b', and 'c' and opposite angles 'A', 'B', and 'C', the following relationship holds:
c² = a² + b² - 2ab * cos(C)
Plugging in the known values, we get:
c² = 5² + 2² - 2 * 5 * 2 * cos(6)
Now, we can solve for 'c':
c² = 29 - 20 * cos(6)
c² ≈ 28.8178
c ≈ √28.8178
c ≈ 5.4 (rounded to the nearest tenth)
Now that we have the value of side 'c', we can find angle 'A' using the law of sines, which states that for any triangle:
sin(A) / a = sin(C) / c
Plugging in the known values:
sin(A) / 5 = sin(6) / 5.4
Now, solve for 'sin(A)':
sin(A) = 5 * sin(6) / 5.4 sin(A) ≈ 0.0698
Now, find the value of angle 'A' using the inverse sine (sin⁻¹) function:
A ≈ sin⁻¹(0.0698)
A ≈ 3.992° (rounded to the nearest tenth)
Finally, to find angle 'B', we can use the fact that the sum of angles in any triangle is 180 degrees:
B = 180 - A - C
B = 180 - 3.992 - 6
B ≈ 170.008° (rounded to the nearest tenth)
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Related Questions
f(x) = x^2 - 16 What are the solutions for x when f of x equals 9?
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Answer:
65
Step-by-step explanation:
The graphs below have the same shape. What is the equation of the blue
graph?
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Answer:
G(x) = (x^2 +2)
Step-by-step explanation:
The graph moved to the left 2 units, therefor that is the equation :)
The equation of the blue graph will be G(x) = (x² +2).
What is a qudratic function?In mathematics, a quadratic polynomial is a polynomial of degree two in one or more variables. A quadratic function is a polynomial function defined by a quadratic polynomial.
A parabola is the shape of a quadratic function's graph. The "width" or "steepness" of a parabola can vary and it can expand upward or downward.
The given equation of the red graph is,
F(x) = x²
The graph moved to the left 2 units, hence the equation can be written as,
G(x) = F(x) + 2
G(x) = x² + 2
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To balance a seesaw, the distance a person is from the fulcrum is inversely proportional to his or her weight . Roger , who weighs 120 pounds is sitting 6 feet from the fulcrum . Ellen weighs 108 pounds . How far from the fulcrum must she sit to balance the seesaw ? Round to the nearest hundredth of a foot .
Answers
Answer:
[tex]d_e =6.67ft[/tex]
Step-by-step explanation:
From the question we are told that:
Weight of Roger [tex]W_r=120\ pounds[/tex]
Distance of Roger from fulcrum [tex]d_r=6 ft[/tex]
Weight of Ellen [tex]W_e=120\ pounds[/tex]
Generally the equation for distance-weight relationship is mathematically given by
[tex]d\alpha \frac{1}{W}[/tex]
[tex]\frac{d_1}{d_2} =\frac{W_2}{W_1}[/tex]
[tex]\frac{d_r}{d_e} =\frac{W_e}{W_r}[/tex]
Therefore
[tex]\frac{d_e}{d_r} =\frac{W_r}{W_e}[/tex]
[tex]d_e =\frac{W_r*d_r}{W_e}[/tex]
[tex]d_e =\frac{6*120}{108}[/tex]
[tex]d_e =6.67ft[/tex]
Therefore the distance from the fulcrum she must sit to balance the seesaw is given as
[tex]d_e =6.67ft[/tex]
please help me
i wanna sleep :(
Answers
Answer:
what langue is that
Step-by-step explanation:
Annika has a circular garden with a radius of 14 feet. One fourth of the garden is planted with yellow roses. what is the area not planted in yellow roses? Use 22/7 for pi.
Answers
Answer:A
Step-by-step explanation:
3/4*22/7*14^2
=3/4*22/7*14*14
=3*11*2*7
=33*2*7
=66*7
=462
Answer:
462
Step-by-step explanation:
Selection two: solving two step equations (7 of 10) 20-n=48
Answers
Please Mark BRAINLIEST!
Given the following probabilities, determine whether
the events A and B are independent or dependent.
Answers
P(a) x p(b) = 2/5 x 1/4 = 2/20 = 1/10
1/10 does not equal 1/9 so the event is dependent
The answer is B ( the second choice)
What is the value of h?
Answers
Answer:
6.
Step-by-step explanation:
626×10−34
Answer:
h= 5.7
Step-by-step explanation:
trust me pls ill show work if u need me to
A musician plans to perform 4 selections. In how many ways can she arrange the musical selections?
a.
120
c.
24
b.
4
d.
16
Answers
Answer:
The answer is 24 in my opinion
Step-by-step explanation:
1)1 2 3 4
2)1 2 4 3
3)1 3 2 4
4)1 3 4 2
5)1 4 3 2
6)1 4 2 3
Just multiply the 4 with 6 then you get the answer. Hope this is correct.Answer:
C-24
Step-by-step explanation:
You ran 10 blocks in 5 minutes, and you ran at a consistent speed, how long did it take to run 1 block?
Answers
Answer:
30 seconds
Step-by-step explanation:
10 ÷ 10 = 1 block
5 ÷ 10 = 0.50
0.50 of a minute is 30 seconds
please help asap!!!!!!!!
Answers
Answer:
Step-by-step explanation:
The mean of six numbers is 10. When
mother number is added the new mean is
9. Find the number added.
Answers
Answer:
3
Step-by-step explanation:
If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:
x÷6=10
x=60
The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:
y÷7=9
y=63
63-60=3
So the new number added is 3
Answer:
3
Step-by-step explanation:
Mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Given the mean of 6 numbers is 10, then
[tex]\frac{sum}{6}[/tex] = 10 ( multiply both sides by 6 )
sum = 60
When another number x is added then count is 7
[tex]\frac{60+x}{7}[/tex] = 9 ( multiply both sides by 7 )
60 + x = 63 ( subtract 60 from both sides )
x = 3 ← the number added
G = { liquid, solid, gases} what type
of set is G.
a) Empty set
b) Firite set
c) Infinite set
d) Undefined set
Answers
Answer:
Step-by-step explanation:
I think it’s b…
no files i’ll report your answer
50 point answer
•
In the diagram below, lines TK and I are
90
L
M
<
A. skew
B. parallel
C. perpendicular
Answers
Answer:
C. PerpendicularStep-by-step explanation:
The lines are making 90° with each other.
JK ⊥ LM, the lines are perpendicularCorrect choice is C
A recipe calls for 1/3 cup of sugar for every 1/2 teaspoon of vanilla. What is the unit rate per teaspoon? Remember to divide to find unit rate. Unit rate is the value of one item per something.
Answers
Answer:
0.6 I think ........................
Marking brainliest!!
Was the KKK prominent people ?
Answers
Prominent definition; important/famous
They were definitely important and famous, just not in the best light ya feel me?
1 Mr. Ruiz made a map of his ranch on the grid shown below.
Cattle
Horses
Sheep
What percent of the ranch is used for sheep?
A 33%
B 25%
C 20%
D 16%
Answers
Hope this helps
Use this set of number to answer the question.
4, 11, 6, 9, 23, 34, 6, 19,
What is the median for this set of numbers?
A. 6
B. 10
C. 14
D. 16
Answers
Answer:
10
Step-by-step explanation:
arrange the number in order from smallest to largest, 4, 6, 6, 9, 11, 19, 23, 34. you then find the middle number, in this case there is no middle number, but 9 and 11 are the closest, so you add those to together to get 20, then divide by 2. this gives you ten
if you have any questions, leave them in the comments and i will try to answer them, if this helped pls give brainliest
Answer:
Hello There!!
Step-by-step explanation:
Median is ordering the numbers from smallest to biggest.
Ordered: 4,6,6,9,11,19,23,34
And there is no middle number so you have two add the two middle numbers 9+11=20 then divide by 2 which equals 10.
hope this helps,have a great day!!
~Pinky~
Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror
sells for $5.00 per square foot, what will the total cost of the mirror be?
Answers
Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror sells for $5.00 per square foot, what will the total cost of the mirror be?
____________________Solution :-Given Information :-Length of the mirror Austen needs to buy ➢ 3 ftWidth of the mirror Austen needs to buy ➢ 2 ftCost of mirror per square foot ➢ $5.00To Find :-Total cost of the mirror Austen needs to buy.Formula Used :-Area of Mirror = Length × Width Total cost of mirror = Area of mirror × Cost of mirror per square foot Calculation :-Area of mirror :-Substituting the values given in the 1st formula, We get,
⇒ Area of mirror = ( 3 × 2 ) ft²
⇒ Area of mirror = 6 ft²
Now finding the total cost of mirror,Substituting the values calculated above in the 2nd formula, We get
⇒ Total Cost of mirror = $ ( 6 × 5.00 )
⇒ Total Cost of mirror = $30
___________________Final Answer :-Total cost of the mirror Austen needs to buy will be $30____________________plz help me i will give 50 points,
Answers
Tyler asks for a fish tank for his birthday. The task he wants is a rectangular prism 20 inches long, 10 inches wide, and 12 inches tall.
Answers
Answer:
2400 in^3
Step-by-step explanation:
Tyler asks for a fish tank for his birthday. The task he wants is a rectangular prism 20 inches long, 10 inches wide, and 12 inches tall. How much water will the fish tank hold?
the capacity of the tank can be determined by calculating the volume of the tank
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Find the area of a square
Answers
Answer:
Step-by-step explanation:
area =l^2
=7^2
=49 km^2
Write the equation of a line that is parallel to y=−5/4x+7
and that passes through the point (-4,1)
Answers
Answer:
y=-5/4x-4.
Step-by-step explanation:
parallel lines have to have the same slope so they don't intersect each other
original equation with the same slope and rewrite it using point slope form:
y-y1=-5/4(x-x1) now Substitute the point(-4,1)
y-1=-5/4(x-(-4))
y-1=-5/4(x+4)
Now we can distribute the -5/4 and add 1 to the right to get our final slope-intercept form:
y-1=-5/4x-5
y=-5/4x-4.
The parallel line of y=-5/4x+7 that passes through point (-4,1) is y=-5/4x-4.
Answer: y=-5/4x-4.
Step-by-step explanation:
What is the term of the highest degree in the expression 3x2y-5xy7+8x4y5-6xy
Answers
Answer:
seems hard
Step-by-step explanation:
YEEEEET IT AWAY
Find the slope of the line that passes through the points
(-5,-6) and (5,10)
Answers
Answer:
8/5
Step-by-step explanation:
To find the slope given two points
m = (y2-y1)/(x2-x1)
= (10- -6)/(5 - -5)
= (10+6)(5+5)
= 16/10
= 8/5
1.6
Step-by-step explanation:
change in y ÷ change in x
(10--6)=16
(5--5)=10
16÷10=1.6
In the United States, the maintenance and construction of airports, transit systems, and
major roads is largely funded through a federal excise tax on gasoline. Based on the 2011
statistics given below, how much did the average household pay per year in federal gasoline
taxes?
.
The federal gasoline tax rate was 18.4 cents per gallon.
• The average motor vehicle was driven approximately 11, 340 miles per year.
The national average fuel economy for noncommercial vehicles was 21.4 miles per
gallon.
The average American household owned 1.75 vehicles.
.
$55.73
$68.91
$97.52
$170.63
Answers
Answer:
Step-by-step explanation:
uy
According to the above we can establish that based on the given statistics, the average household paid approximately $97.52 per year in federal gasoline taxes.
How to calculate how much average household paid per year in federal gasoline taxes?To calculate how much the average household paid per year in federal gasoline taxes, we can use the following steps:
Determine the total number of gallons of gasoline consumed by the average household per year:
Total gallons = (Total miles driven) / (Miles per gallon)Total gallons = 11,340 miles / 21.4 miles per gallonTotal gallons = 530 gallons (rounded to the nearest gallon)Calculate the total amount paid in federal gasoline taxes per year:
Total taxes = (Total gallons) * (Tax rate per gallon)Total taxes = 530 gallons * $0.184 per gallonTotal taxes = $97.52According to the above we can establish that based on the given statistics, the average household paid approximately $97.52 per year in federal gasoline taxes.
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find the solution of given expression !!
[tex] \sqrt{36 \times 4} [/tex]
Answers
[tex]\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}[/tex]
Let's Solve :
[tex] \sqrt{36 \times 4} [/tex][tex] \sqrt{2 \times 2 \times 3 \times 3 \times 2 \times 2} [/tex][tex]2 \times 3 \times 2[/tex][tex]12[/tex]Therefore, the correct answer is 12
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Find the missing side. Round to
the nearest tenth.
10
33°
Х
X = ?
Answers
Given:
A right angle triangle with legs x and 10.
The angle opposite to the side with measure 10 is 33 degrees.
To find:
The value of x.
Solution:
We know that, in a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In the given triangle,
[tex]\tan 33^\circ=\dfrac{10}{x}[/tex]
[tex]x=\dfrac{10}{\tan 33^\circ}[/tex]
[tex]x=15.39864[/tex]
[tex]x\approx 15.4[/tex]
Therefore, the value of x is 15.4 units.
A cube has a side length of 5x cm. What is the volume of the cube?
Answers
Answer:
125x^3 cm^3
Step-by-step explanation:
The volume of a cube of side length s is V = s^3.
If the side length is 5x cm, then V = (5x cm)^3 = 125x^3 cm^3
I need help with this problem
"Solve for x
4x ≤ 12"
Please someone help me
Answers
x ≤ 3
Step-by-step explanation:
4x ≤ 12
divide each side by 4
x ≤ 3