HELP PLEASE
Given: a = 3, b = 4,
and c = 6. What is the measure of angle A to the
nearest tenth?
Answers
Answer:
26.4
Step-by-step explanation:
Law Of Cosines:
[tex]cos(A)=\frac{b^2+c^2-a^2}{2bc}[/tex]
This should work for any side. This can generally be thought as:
[tex]cos(\text{angle}) = \frac{\text{sum of squares of two other sides-opposite side squared}}{\text{2 times the product of the other two sides}}[/tex]
If this is too confusing here's the formula for the other sides (which is essentially the same, just different variables)
[tex]cos(B)=\frac{a^2+c^2-b^2}{2ac}[/tex]
[tex]cos(C) =\frac{a^2+b^2-c^2}{2ab}[/tex]
Anyways now just plug in the known values into the equation
[tex]cos(A)=\frac{4^2+6^2-3^2}{2(6)(4)}\\[/tex]
Square and multiply values
[tex]cos(A)=\frac{16+36-9}{48}[/tex]
Add the values in the numerator
[tex]cos(A)=\frac{43}{48}[/tex]
Take the inverse of cosine on both sides
[tex]A=cos^{-1}(\frac{43}{48})[/tex]
calculate arccosine (inverse cosine) using a calculator
[tex]A\approx 26.384[/tex]
Round to nearest tenth
[tex]A\approx26.4[/tex]
Related Questions
Consider triangle EFG. F 8 10 CA 55.8 OB. 82.8 OC 94.8 OD. 41.4 12 E What is the approximate measure of angle G? G Consider triangle EFG . F 8 10 CA 55.8 OB . 82.8 OC 94.8 OD . 41.4 12 E What is the approximate measure of angle G ? G
Answers
Using the law of cosines, it is found that the approximate measure of angle G is of 41.4º.
What is the law of cosines?The law of cosines states that we can find the angle C of a triangle as follows:
[tex]c^2 = a^2 + b^2 - 2ab\cos{C}[/tex]
in which:
c is the length of the side opposite to angle C.a and b are the lengths of the other sides.In this problem, we want to find angle G, hence c = 8, then:
[tex]c^2 = a^2 + b^2 - 2ab\cos{C}[/tex]
[tex]8^2 = 10^2 + 12^2 - 2(10)(12)\cos{G}[/tex]
[tex]240\cos{G} = 180[/tex]
[tex]\cos{G} = \frac{3}{4}[/tex]
[tex]G = \arccos{\left(\frac{3}{4}\right)}[/tex]
G = 41.4º.
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Answer: DE NADA
Step-by-step explanation: ANSWER ON EDMENTUM/PLUTO
help me you gonna be my hero
Answers
Answer:
The second graph
Step-by-step explanation:
Well you're given the equation in slope-intercept form, which looks like: y=mx+b, where m is the slope, and b is the y-intercept. This is because the y-intercept is when x=0, so mx will becomes 0, thus leaving b alone, and making it the y-intercept. m is the slope because as x increases by 1, the y-value goes up by m, so the "rise" is m and the "run" is 1. The definition of the slope is rise/run so the slope would be m/1 or just m.
So let's analyze the equation: y=25x+40. the slope will be 25, and the y-intercept will be 40 (this is important for easily filtering very obviously wrong answer). So the linear equation will intersect the y-axis at (0, 40). Only one of the graphs intersects the y-axis at (0, 40) which is the second graph.
If x=7y and x = 4y = 24, then X=?
Answers
(3, -1) and (5, 4) arrowRight (2, 3) and (4, 5) arrowRight (-5, 7) and (8, 5) arrowRight (-2, 4) and (3, -1)
Answers
This question is incomplete. Below you can find the missing content.
Match each pair of points with the approximate distance between them. Round your answers to the nearest tenth. 7.07 units 5.1 units 2 units 2.83 units 5.39 units 13.15 units 12.5 units
(3, -1) and (5, 4)
(2, 3) and (4, 5)
(-5, 7) and (8, 5)
(-2, 4) and (3, -1)
The distance between (3, -1) and (5, 4) is 5.39 units, the distance between (2, 3) and (4, 5) is 2.83 units, the distance between (-5, 7) and (8, 5) is 13.15 units and the distance between (-2, 4) and (3, -1) is 7.07 units.
The distance between two points can be calculated by the formula given below
Distance between two points (x1,y1), (x2,y2)= d= √(x2-x1)²+(y2-y1)²
where (x1,y1) and (y1,y2) are the coordinates of the points.
The distance between the points which is of coordinates (3, -1) and (5, 4)
d= √(5-3)²+(4-(-1))²= √4+25= √29= 5.39 units
The distance between the points which is of coordinates (2, 3) and (4, 5)
d= √(4-2)²+(5-3)²= √4+4= √8= 2.83 units
The distance between the points which is of coordinates (-5, 7) and (8, 5)
d= √(8-(-5))²+(5-7)²= √169+4= √173= 13.15 units
The distance between the points which is of coordinates (-2, 4) and (3, -1)
d= √(3-(-2))²+(-1-4)²= √25+25= √50= 7.07 units
Therefore the distance between (3, -1) and (5, 4) is 5.39 units, the distance between (2, 3) and (4, 5) is 2.83 units, the distance between (-5, 7) and (8, 5) is 13.15 units and the distance between (-2, 4) and (3, -1) is 7.07 units.
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How dose the graph of g(x)=x+5 compare with the graph of the parent function f(x)=x?
Answers
The graph of f(x) is shifted up by 5 units to get g(x)
How to compare the functions?The functions are given as:
g(x) = x + 5
f(x) = x
Substitute f(x) = x in g(x) = x + 5
So, we have:
g(x) = f(x) + 5
The above means that the graph of f(x) is shifted up by 5 units to get g(x)
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? Question
Segment FG is on a number line with point F at 1.2. Point H lies on FGat 3.15. Point H is the length of FGfrom point G. What
are the location of G and the length of FG?
Type the correct answer in each box. Use numerals instead of words.
The location of G is?
The length of FG is?
Answers
A number line is a line that shows the locations of all directed numbers. The answers required to the question are:
i. The location of G is 2.18.
ii. The length of FG is 0.98.
A number system is a system that can be used to locate the position of directed numbers on a number line. A number line has two ends: positive and negative ends. This starts from negative infinity to positive infinity. Thus all numbers can be located on a number line.
Directed numbers are numbers that have either a positive sign or a negative sign. Thus all numbers are directed numbers.
From the given question, let the distance between FG and GH be represented by x (since Point H is the length of FG from point G).
Thus,
Point FH = 3.15 - 1.20
= 1.95
x = [tex]\frac{FH}{2}[/tex]
= [tex]\frac{1.95}{2}[/tex]
x = 0.975
So that,
Location of point G = 1.200 + 0.975
= 2.175
Therefore, the location of G is 2.175 (2.18). And the length of FG is 0.975 (0.98).
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Answer:
Location of G: 6.4
Length of FG: 5.2
Step-by-step explanation:
correct on Edementum/Plato
What’s the answer to this?
Answers
Answer:
See attached image.
250 shirts at $50/shirt is the equilibrium.
Step-by-step explanation:
comeplete the following :
Rx0 Do2 : (2,4) -> (-4, 8) (4, -8) (-4, -8)
Answers
Point (2, 4) was reflected over the x axis to give (2, -4). It was then dilated by a scale factor of 2 to get (4, -8). Hence (2, 4) ⇒ (4, -8)
What is a transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Translation is the movement of a point either up, down, left or right on the coordinate plane.
Point (2, 4) was reflected over the x axis to give (2, -4). It was then dilated by a scale factor of 2 to get (4, -8). Hence (2, 4) ⇒ (4, -8)
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Please explain the logics and steps to solve this problem below thank you TT
5, 10, 15, ..., 100
If each term in the sequence above is 5 more than the previous term, how many times does the digit zero appear in the sequence?
(A) 9 (B) 10 (C) 11 (D) 50 (E) 51
---
the answer is number C) 11
however the answer I've chosen was 50
Answers
Since there are 10 values that have the zero digits, hence the zero digits appear 10 times in the sequence
Sequence and seriesSeries are defined as sum of sequences. Given the following sequence
5, 10, 15, ..., 100
The common difference is 5 and the number that have digits zero in the sequence are 10, 20, 30, 40, 50, 60, 70, 80, 90 and 100
Since there are 10 values that have the zero digits, hence the zero digits appear 10 times in the sequence
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ABCD is an isosceles trepezoid with midsegment top enclose M N end enclose. m angle B A D equals 65 degree
Answers
The answers are as follows:
What is isosceles trapezoid?A trapezoid with its two nonparallel sides equal.
Given:
<BAD =65
As, MN is mid segment
So,
BC= 2CM
BC = 16
Now, ABCD is isosceles trapezoid
BC= AD
So, AD= 16
and, Using mid- point theorem
MN= 1/2 AB
MN = 1/2* 22
MN= x = 11
Also, co- interior angle sum is 180 in trapezium
<BAD + <BCD = 180
<BCD + 65 =180
<BCD = 115
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Which expression is equivalent to sin (pi/12)cos(7pi/12) -cos(pi/12)sin(7pi/12) ?
Answers
Answer:
-1
Step-by-step explanation:
We see the given expression is equal to sin(pi/12 - 7pi/12), which is equal to sin(-pi/2), or just -1.
Use the graph below to answer the following question:
O 0
0 1
b
4
-3 -2
3
2
W
12
54
What is the average rate of change from x = 0 to x = 4? (6 points)
2 3
Answers
Answer: 0
Step-by-step explanation:
When x=0, y=4.
When x=4, y=4.
So, the rate of change is 0.
PLEASE HELP ME
Whats the circumstances of a circle with a radius of 2 inches? use 3.14 for pi
Answers
Answer:
12.56 Inches
Step-by-step explanation:
1. The formula to find the circumference is 2 * Pi * r
2. Using this formula we get 2 * 3.14 * 2 = 12.56
3. The radius is in inches so our final answer will also be in inches.
Answer:
The Circumference of the circle would be 12.56 inches
Step-by-step explanation:
All you have to do is multiply the radius by 2 the multiply by pi (3.14)
Use the formula and you will get that the circumference is 12.56
Hope this helped! :D
Solve the linear system.
x + y = -3
y = 2x
Answers
Answer:
x = -1
y = -2
Step-by-step explanation:
You can use the method of substitution to solve this equation. Since you know that y= 2x, you can substitute that value into x + y = -3:
x + (2x) = -3
Combine like terms:
3x = -3
x = -3/3
x = -1
Now that you know the value of x, you can substitute it into any of the two equations (I'll be choosing y = 2x)
y = 2x
y = 2 (-1)
y = -2
So your solution is x = -1, y = -2
Point form: (-1, -2)
Helen got a 7% reduction in the price of pair jeans that are normally $32. What is the approximate percent decrease in the price?
Answers
A percentage is a way to describe a part of a whole. The approximate percent decrease in the price is 21.87%, thus, the correct option is B.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given the reduction in the price is $7, while the original cost is $32. Therefore, the approximate percent decrease in the price is,
Percentage decrease = 7/32 × 100%
= 21.87%
Hence, the approximate percent decrease in the price is 21.87%, thus, the correct option is B.
The correct question is:
Helen got a $7 reduction in the price of a pair of jeans that are normally $32. What is the approximate percent decrease in the price?
The percent decrease is approximately 15%.
The percent decrease is approximately 21%.
The percent decrease is approximately 43%.
The percent decrease is approximately 78%
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A relation is given below.
{(0, 0), (2, 0.5), (4, 1), (3, 1.5), (4, 2), (5, 1.5), (6, 8)}
Which ordered pair can be removed to make this relation a function?
Why would removing this ordered pair make the relation a function?
Answers
Answer:
(4,1), (4,2) pairs can be removed to make relation a function.
Step-by-step explanation:
Function states the relationship of ordered pairs where set A must have unique elements.
Write the domain and range of h using interval notation.
Answers
7. Identify a transformation of the function f(x) = x by observing the equation of the function g(x) = m x, with m > 1.
Answers
The transformation from f(x) to g(x) is a vertical stretch by a factor of m
How to determine the transformation?The functions are given as:
f(x) = x
g(x) = mx
Substitute f(x) = x in g(x) = mx
g(x) = mf(x)
From the question, we understand that:
m > 1
This means that;
The transformation from f(x) to g(x) is a vertical stretch by a factor of m
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Need help with this geometry question
Answers
Answer:
Complementary: Angle SRP and Angle PRQ
Supplementary: Angle SRO and Angle SRQ
Step-by-step explanation:
Complementary: 90 degrees
Angle SRP and Angle PRQ
Supplementary: 180 degrees
Angle SRO and Angle SRQ
anybody can help me?
Answers
Its the first one, because x wont be affected, and 1 and -3 is a constant.
Two friends bring lemonade to your cookout. one brings 2.7 liters and the other brings 3.54 liters. how much lemonade do they bring
Answers
The total lemonade the two friends bring to the cookout when one brings 2.7 liters and the other brings 3.54 liters of lemonade is 6.24 liters of lemonade, computed using decimal addition.
The methods we use to add or subtract decimals are as follows:
Vertically align the decimal points. Any necessary zeros should be entered.Treat the integers as whole numbers when adding or subtracting them.Align the decimal point with the numbers being added or subtracted so that it sits vertically above the sum or difference.In the question, we are informed that two friends bring lemonade to the cookout. The first brings 2.7 liters and the second brings 3.54 liters.
We are asked to find the total lemonade brought by them to the cookout.
To find the total lemonade, we add both the decimal quantities following the steps discussed.
2.7
+ 3. 54
Step 1: Adding zeroes:
2.70
+ 3. 54
Step 2: Treating them as numbers and adding:
2.70
+ 3. 54
________
624
Step 3: Aligning decimal points:
2.70
+ 3. 54
________
6.24
Thus, the total lemonade the two friends bring to the cookout when one brings 2.7 liters and the other brings 3.54 liters of lemonade is 6.24 liters of lemonade, computed using decimal addition.
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4 quick algebra 1 questions for 50 points!
Only answer if you know the answer, shout-out to subtomex0, tysm for the help!
Answers
[tex]c(g) = 7g + 52 \\ c(0) = 52[/tex]
Option CQuestion 2[tex]g(x) = x {}^{2} - 7x + 12 \\ g(x) = 0 \\ x = 3 \: \: \: \: \: \: \: \: x = 4[/tex]
Option DQuestion 1Option CLet's see
#1
y=2x²+3x-2y=2x²+4x-x-2y=(x+2)(2x-1)So
x intercepts
(-2,0) and (1/2,0)True
#2
y=7g+52y=7(0)=52y=52Option C
#3
x²-7x+12=0x²-4x-3x+12=0x(x-4)-3(x-4)=0(x-3)(x-4)=0x={3,4}Option D
#4
I solved it in your another question , Can't add that answer here due to copyright restrictions
Ms. wilkinson's fifth-grade class is running a canned food drive. the students filled two boxes of food. there are thirty 300-gram cans of soup in one box. there are eighteen 400-gram cans of vegetables in the other box. how many kilograms of food did the students collect in all?
Answers
Answer:
16.2 kilograms
Step-by-step explanation:
30 300-gram cans = 9000 grams of soup
18 400-gram cans = 7200 grams of vegetables
9000 + 7200 = 16200 grams
1000 grams = 1 kilogram
16200 / 1000 = 16.2 kilograms
The total amount of food students collect in kilograms will be equal to 16.2 kilograms food.
What is algebra ?
Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.
The number of cans of soup in one box = 30 cans
And each can has 300 grams of soup.
So , the total amount of soup in one box is :
= 30 × 300
= 9000 grams of soup
Now , in the other box there are 18 cans of vegetables and each can has 400 grams of vegetable.
So , the total amount of vegetable in the other box is :
= 18 × 400
= 7200 grams
Total food students collect is :
= 9000 grams soup + 7200 grams vegetables
= 16200 grams food
We know that :
1000 grams = 1 kilogram
So , converting grams into kilograms we get :
16200 / 1000 = 16.2 kilograms food
Therefore , the total amount of food students collect in kilograms will be equal to 16.2 kilograms food.
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which number can each term of the equation be multiplied by to eliminate the fraction before solving -3/4m-1/2=2+1/4m
Answers
Answer:
4
Step-by-step explanation:
LCM of 2 and 4 (denominators of fraction)
= 4
What is the area of this trapezoid? Enter your answer in the box.
Answers
Answer:
357 cm2
Step-by-step explanation:
The formula to find the area of a trapezoid is (b1 + b2)*h/2. When you plug in all numbers, you get 357 cm2. Hope this helps!
5 calculators cost £31.25
3 pens cost £2.91
Work out the cost of 30 calculators and 30 pens.
Answers
Answer:
£216.60
Step-by-step explanation:
If 5 calculators cost £31.25, then each calculator costs £6.25
If 3 pens cost £2.91, then each pen cost £0.97
30(6.25) + 30(0.97) = £216.60
WILL GIVE ALL POiNTS IF ANSWERED CORRECTLY SOON! LIKE 30 MINS PLS
Given w = −168i −160j, what are the magnitude and direction of −4w? Round the answers to the nearest whole number.
232; 224°
232; 44°
928; 224°
928; 44°
Answers
Answer:
Magnitude and Direction is 928 and 44
Step-by-step explanation:
For a Vector w = (x)i+(y)j
The Magnitude of w [tex]=\sqrt{x^{2} +y^{2} }[/tex]
and the Direction of w [tex]=tan^{-1}(\frac{y}{x} )[/tex]
So for our Question , w = - 168i - 160j
Then -4w = -4 (- 168i - 160j) = (-4*-168)i +(-4*-160)j = 672i + 640j
Then the Magnitude of -4w = [tex]\sqrt{672^{2} +640^{2} } =928[/tex]
and the Direction of -4w = [tex]tan^{-1}(\frac{640}{672} )=tan^{-1}(\frac{20}{21} )=44[/tex] ( to the nearest whole number)
Hope it Helps:)
Ximena answered 72 questions correctly on her multiple choice history final and
earned a grade of 36%. How many total questions were on the final exam?
Answers
Answer:
200
Step-by-step explanation:
72---->36%
x------> 100%
72×100
7200÷36=200
To check, let do it the other way round. 200×0.36=72.
There was total 200 multiple choice history question in Ximena's exam.
What is the definition of the percentage?A percentage is a fraction of a whole conveyed as a number ranging from 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent. To calculate a percentage, divide this same portion of the total by the total and multiply by 100.For the given question,
Total questions answered by the Ximena is 72.
The total percentage was 36%.
Let 'x' be the total number of the questions.
Then,
36% of x = 72
36x /100 = 72
x = 7200/36
x = 200
Thus, there was total 200 multiple choice history question in Ximena's exam.
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The difference in the height of the two rectangles is 7 feet.
One rectangle has a height of 6.2 feet and another has a height of y feet.
What is the value of y?
Answers
Answer:
y = 13.2ft
Step-by-step explanation:
This is a bit of trial and error.
We know that the height of one rectangle is 6.2ft, which means we cannot subtract 7 from 6.2 to find the height of the other rectangle as it will give us a negative value and it will not make sense.
Therefore the height of the other rectangle has to be 7ft higher.
y = 6.2 + 7 = 13.2ft
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h. A. h(8) = 21 B. h(-3) = -1 C. h(13) = 18 D. h(2) = 16
Answers
A function assigns the value of each element of one set to the other specific element of another set. The correct option is D.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2.
1.) h(8) = 21
Since the value of h(8) is 19. This can not be the correct option.
2.) h(-3) = -1
Since the range is from 1 to 25. Therefore, this is not the correct option.
3.) h(13) = 18
Since the domain is from -3 to 11. Therefore, this is not the correct option.
4.) h(2) = 16
This is the only option that is feasible. Thus, this is the correct option.
Hence, the correct option is D.
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