Answers
Answer:
A = 38°
Step-by-step explanation:
We are going to use cosine law to find angle A where
a = 4.7
b = 3.9 m
c = 2.9 m
[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab \cos( \alpha ) [/tex]
or
[tex] \cos( \alpha ) = \frac{ {a}^{2} + {b}^{2} - {c}^{2} }{2ab} [/tex]
cos A = [(4.7)^2 + (3.9)^2 - (2.9)^2]/2(4.7)(3.9)
= 28.89/36.66
= 0.788
A = arccos(0.788) = 38°
Related Questions
What is the meaning of the word “remnants” as it is used in the sentence? May someone explain why your answer is correct.
Answers
Answer:
D: pieces
Step-by-step explanation:
The sentence tells us that remnants of metal and glass making have also been found. This means that there are some left over pieces of the metals and glass materials that were used that were found.
Thus, option D is the correct answer.
Michale got these scores the last time he played golf according to the data shown what is the mode of his scores
Answers
Answer:
[tex]Mode = 74[/tex]
Step-by-step explanation:
Given
See attachment for dataset
Required
The mode
To do this, we simply select the score that has the highest frequency (i.e. the score that appear most)
So, we have:
[tex]Mode = 74[/tex]
Because 74 appears 3 times, while others appear less
Answer:
Its d
Step-by-step explanation:
Its the most commom element in the set
What is the shortest path that will visit point A, B, C, and D?
https://dw6y82u65ww8h.cloudfront.net/organisations/328/94ce962c-bb45-4cbb-8c4a-2b1e1ed75681/img_quad_vertexedge_d.gif
link to graph
A to D to C to B
C to B to D to A
B to A to D to C
A to B to C to D
Answers
Answer:
A to D to C to B
Step-by-step explanation:
A to D to C to B only takes 10.5. Everything else takes a longer distance.
if (2x^3 + ax^2+bx-2) when divided by (2x-3) and (x+3) leaves remainder 7 and -20 respectively, find the values of a and b
Answers
your answer
thank you
9514 1404 393
Answer:
a = 3b = -3Step-by-step explanation:
The remainder from division by (2x-3) is the same as the value of the function when that divisor is zero—at x = 3/2.
((2(3/2) +a)(3/2) +b)(3/2) -2 = 7
((3 +a)(3/2) +b)(3/2) = 9 . . . . add 2
9/2 +3/2a + b = 6 . . . . . . . . multiply by 2/3
3/2a +b = 3/2 . . . . . . . . . . . subtract 9/2
3a +2b = 3 . . . . . . . . . . . . . multiply by 2 [eq1]
The remainder from division by (x+3) is the same as the value of the function for x = -3.
((2(-3) +a)(-3) +b)(-3) -2 = -20
(-6 +a)(-3) +b = 6 . . . . . . add 2 and divide by -3
18 -3a +b = 6 . . . . . . . . . eliminate parentheses
3a -b = 12 . . . . . . . . . . . subtract 18, multiply by -1 [eq2]
Subtracting the [eq2] from [eq1], we have ...
(3a +2b) -(3a -b) = (3) - (12)
3b = -9 . . . . . simplify
b = -3 . . . . . . divide by 3
From [eq2], ...
3a -(-3) = 12 . . . . substitute for b
3a = 9 . . . . . . . . subtract 3
a = 3 . . . . . . . . . divide by 3
The values of 'a' and 'b' are 3 and -3, respectively.
A person invested $3,600 in an account growing at a rate allowing the money to
double every 13 years. How long, to the nearest tenth of a year would it take for the
value of the account to reach $11, 300?
Answers
Answer:
20.8 years
Step-by-step explanation:
I got 13 years for a single (7,200), then I got the amount rounded to the nearest tenth and got the amount of years out of 13. Then, I added that into 13 to get 20.8!
77
If the measure of angle is 8 is 4 , which statements are true?
A-cos(8) = -1
B-The measure of the reference angle is 60°.
C-The measure of the reference angle is 30°.
D-The measure of the reference angle is 45°.
E-sin() - 2
F-tan(O) = -1
Answers
Answer:
fifth option is the correct ans
sin(thita) = -sqare root 2 / 2
The statements which are true are,
The measure of reference angle is 45° and tan (θ) = -1.
What is Reference Number?Reference number associated with t is defined as the shortest distance from the x axis to the terminal point t, along a unit circle.
Reference angle is shortest angle measure from the X axis to the terminal side of the angle.
Reference angle = 2π - 7π/4 = π/4 = 45°
We have,
7π/4 = 2π - π/4
We also know that,
cos(2π - x) = cos x,
sin (2π - x) = -sin x
tan (2π - x) = -tan x
So, using theses identities,
cos (7π/4) = cos (2π - π/4) = cos(π/4) = 1/√2
sin (7π/4) = sin (2π - π/4) = -sin (π/4) = -1/√2
tan (7π/4) = tan (2π - π/4) = -tan (π/4) = -1
Hence the true statements are The measure of reference angle is 45° and tan (θ) = -1.
Learn more about Reference Angles here :
https://brainly.com/question/1603873
#SPJ7
Condense the following logarithm: 5log_4(a) - 6log_4(b)
Answers
Hi there! We are given the expression:
[tex] \large \boxed{5 log_{4}(a) - 6 log_{4}(b) }[/tex]
To condense or simplify the following logarithm. You have to remember these properties:
Properties - Logarithm
[tex] \large{ log_{b}(a)^{n} = n log_{b}(a) } \\ \large{ log_{b}(a) - log_{b}(c) = log_{b}( \frac{a}{c} ) }[/tex]
These two properties are what we need for our problem. Therefore,
[tex] \large{ log_{4}(a)^{5} - log_{4}(b)^{6} }[/tex]
We use the log_b(a)^n = nlog_b(a) property to convert in the form above. Next, we use the second property.
[tex] \large{ log_{4}( \frac{ {a}^{5} }{ {b}^{6} } ) }[/tex]
Answer
log base 4 of (a^5/b^6) is our simplifed form.Any questions can be asked through comment as I may reply soon. Thanks for using Brainly! Have a good day and happy learning! :)
What is the distance between tow points (1,5)(-8,4)
Answers
Answer:
[tex]\displaystyle d = \sqrt{82}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (1, 5)
Point (-8, 4)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-8-1)^2+(4-5)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-9)^2+(-1)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{81+1}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{82}[/tex]kyle's can drive about 360 miles on 11.9 gallons of as which would cost about $
Answers
how to determent an angle on a triangle
Answers
Answer:
Subtract 2 angles from 180
Step-by-step explanation:
then use the 2 angles and add your answer so it matched this formula: a + b = 3
You want to spin blue. Does it matter which spinner you spin? Explain
Answers
Answer:
No, they both have a 2/6 (1/3) chance of spinning blue.
I need help with number 2 please
Answers
The answer is 2k x 1
Answer:
(z - 4) (x - 9)
− 4 x + z − 9
(k + 6) (k - 7)
k^2 - k - 42
(y - 5) (y + 5)
y^2 - 25
Marking brainliest
Can someone tell me why animal testing is bad?
Answers
Answer:
because they inject it into the animals eye's
A wedge of cheese in the shape of a triangular prism is shown below.Find the surface area of the cheese.
Answers
Answer:
maybe 28 square feet
Step-by-step explanation:
maybe 28 square feet
Kayla works in a department store selling clothing. She makes a guaranteed salary of $300 per week, but is paid a commision on top of her base salary equal to 5% of her total sales for the week. How much would Kayla make in a week in which she made $1075 in sales? How much would Kayla make in a week if she made xx dollars in sales?
Answers
Answer:
$353.75
0.05x + 300
Step-by-step explanation:
1075 x 0.05 = 53.75 + 300 = 353.75
0.05x + 300
A rectangle has an area of of 40 square inches, and one of its dimensions is 8, what is the missing dimension?
Answers
Answer:
5
Step-by-step explanation:
To get the area of a rectangle, you just multiply the width * Length. Since you already have one of the dimensions, then just do the oppositie of multiplication by dividing. So you would do 40/8 = 5.
Answer:
5 in
Step-by-step explanation:
The formula for the area of a rectangle of length L and width W is A = L*W.
Here, A = 40 in^2 = (8 in)x, so that
x = (40 in^2) / (8 in) = 5 in
PLZ HELP! I will give brainliest! A theater can hold 160 giants or 240 elves. If 100 giants are inside, how many elves can also go into the theater?
Answers
Answer:
150
Step-by-step explanation:
100 : 160 :: e : 240 proportion
160e = (100)(240)
160e = 24000
elves = 150
Answer:
150
Step-by-step explanation:
100 : 160 :: e : 240
160e = (100)(240)
160e = 24000
elves = 150
I have 20 mins to do this... If i dont finish I fail i have a C atm if I get a D i fail. PLZ HELP
Answers
Answer: Mean is 7 and median is 7
Step-by-step explanation:
2+6+3+10+9+8+10+6+6+10/10
=7
2,3,6,6,6,8,9,10,10,10
6+8/2
=7
Answer:
Terry= mean is 7, median is 7
David= mean is 4.4, median is 4
Step-by-step explanation:
I do not really understands what it means by compare them.
Caros makes wooden boxes without tops to use as flower planters. Each wooden box has a width of 14 inches and a height of 24 inches. The length of the box (x) varies depending on the type of flowers Carlos will plant. Which equation can be used to find the surface area (y ), in square inches, of a wooden box that has a length of x inches? Use the distributive property to help you solve.
Answers
Answer:
y = 2(31x + 336)
Step-by-step explanation:
The surface area of an open rectangular box of sides, l, w and h is
A = 2lh + 2wh + lw where l = length = x, w = width = 14 in and h = height = 24 in.
Since A = y, we have
y = 2lh + 2wh + lw
y = 2x(24) + 2(24)(14) + x(14)
y = 48x + 672 + 14x
y = 62x + 672
y = 2(31x + 336)
please whats the answer to this question
Answers
Answer:
[tex]800~cm^3[/tex]
Step-by-step explanation:
[tex]Volume ~of A=(10*(12-5)*5=[/tex]
[tex]10*7*8=[/tex][tex]560 ~cm^3[/tex][tex]Volume~ of ~B= 5*8(10-4)=[/tex]
[tex]5*8*6=[/tex][tex]40*6=[/tex][tex]240~cm^3[/tex][tex]Total ~volume= A+B[/tex]
[tex]560+240=[/tex]
[tex]800~cm^3[/tex]
-----------------------------
hope it helps...
have a great day!!
BRO PLS HELP MEEEE I WANNA GET STRAIGHT A’s
Answers
2. 1
3. 18
4. 9
5. 2
6. 20
7. 1
8. 6
^^ I am so sorry if any are wrong, I tried as best as I could
Ayudenme yo no hablo ingles por favor alguien habla español????╥﹏╥
Answers
Answer:
yo te AYUDO
Step-by-step explanation:
;)
Answer:
hola yo hablo español :D
Step-by-step explanation:
When GH=7z-1 and CB=4z-3 what is GA?
Answers
Answer:
GH ll BC
BC=GH➗2
GA=GH➗2
BC=GA= 7z-1
-------
2
A child is flying a kite and has let out all 80 feet of the kite’s string. The kite is 35 feet above a stop sign.How far is the child from the stop sign? Round your answer to the nearest tenths place.
Answers
Answer:
87.32
Step-by-step explanation:
because jfyguvkhijijiguhvkkg
A bag contains five red marbles and three green marbles. What is the probability of selecting one green marble from the bag?
(Hint: the answer is a fraction...)
Answers
Answer:
[tex]\boxed {\boxed {\sf P(green )=\frac{3 }{8}}}[/tex]
Step-by-step explanation:
Probability tells us how likely something is to happen. It's found by dividing the number of favorable outcomes by the total outcomes.
[tex]P=\frac{number \ of \ favorable \ outcomes}{total \ outcomes}[/tex]
Since we are trying to find the probability of selecting a green marble, that is the favorable outcome. There are 3 green marbles, so there are 3 favorable outcomes.
There are 5 red marbles in addition to the 3 green marbles. This means there are 8 total outcomes (5+3=8).
favorable outcomes = 3total outcomes =8[tex]P(green )=\frac{3 }{8}[/tex]
This fraction cannot be simplified further, so it is the answer.
The probability of selecting a green marble is 3/8
heyy! i’ll give brainliest please help
Answers
Hello I really need some help I will give you BRAINLEST!!!!
Answers
Answer: Choice B
Step-by-step explanation:
V = 4 pi * r^3 / 3
V = 4 (3.14) * 8^3 / 3
V = 12.56 * 512 / 3
V = 12.56 * 170.66
V = 2,143.57 cm^3
Hope this helped! Please give brainliest.
Find the tangents of angles A and B please
Answers
Answer:
See below for answers and explanations
Step-by-step explanation:
Recall that [tex]tan\theta=\frac{opposite}{adjacent}[/tex]
Therefore, [tex]tanA=\frac{opposite}{adjacent}=\frac{7}{24}[/tex] and [tex]tanB=\frac{opposite}{adjacent}=\frac{24}{25}[/tex]
The function g is defined by g(x) = 2x² +7.
Find g(4y).
Answers
Answer:
32y² + 7
Step-by-step explanation:
To evaluate g(4y) substitute x = 4y into g(x) , that is
g(4y) = 2(4y)² + 7 = 2(16y²) + 7 = 32y² + 7
PLEASE HELP! I need the answer urgently!!
Answers
Answer:
Correct Answer is E
Step-by-step explanation:
If B rate and C rate should subtract each other which rules out answers A and B
hence making the total trip would be ~3 hours so answer E adding the rates would be the correct Answer.