Use the Law of Cosines to write an expression equivalent to a. I need this answer urgently pls!
Answers
9514 1404 393
Answer:
a = √(b² +c² -2bc·cos(A))
a = √(c² -b²)
Step-by-step explanation:
For sides a, b, c, and opposite angles A, B, C, the general form of the law of cosines is ...
a² = b² + c² -2bc·cos(A)
An expression for 'a' can be written by taking the square root.
a = √(b² +c² -2bc·cos(A))
__
If you recognize that cos(A) = b/c, then a substitution can be made:
a = √(b² +c² -2(bc)(b/c)) = √(b² +c² -2b²)
a = √(c² -b²) . . . . . . . same as the Pythagorean theorem
Related Questions
7/12
Which expression is equivalent to this fraction?
Answers
Answer:
12/7
Step-by-step explanation:
yes ! cd
Assume that x = x(t) and y = y(t). Let y = x^2 + 6 and
dx/dt=4 when x=1
Find dy/dt when x = 1
Answers
Answer:
[tex]\frac{dy}{dt}[/tex] = 8
Step-by-step explanation:
Given:
x = x(t) and y = y(t)
Let y = x² + 6
By differentiating the given equation with respect to t,
[tex]\frac{dy}{dt}=\frac{d}{dt}(x^{2}+6)[/tex]
[tex]\frac{dy}{dt}=\frac{d}{dt}(x^{2})+\frac{d}{dt}(6)[/tex]
Since, [tex]\frac{dx}{dt}=4[/tex] when x = 1
[tex]\frac{dy}{dt}=2x\frac{dx}{dt}+\frac{d}{dt}(6)[/tex]
[tex]\frac{dy}{dt}=2(1)(4)+0[/tex] [By substituting the values of [tex]\frac{dx}{dt}[/tex] and x = 1]
[tex]\frac{dy}{dt}[/tex] = 8
What is the y-intercept, b, of the additive relationship represented by this table?
Enter your answer as an integer in the box.
b =
x y
1 4
3 6
Answers
Answer:
b = 3Step-by-step explanation:
Use the table to find the slope and y-intercept
Find the slope:
m = (6 - 4)/(3 - 1) = 2/2 = 1Find b using the pair (1, 4):
4 = 1*1 + bb = 4 - 1b = 3The line is:
y = x + 3The y-intercept is 3
Answer:
b = 3
Step-by-step explanation:
Please help! Im failing math Rn! Please help!
Answers
Answer:
rickrolled.
Step-by-step explanation:
¯\_(ツ)_/¯
you won't learn by asking others. do it yourself.
Answer:
K
Step-by-step explanation:
MANUFACTURING. The number of cars built varies
directly as the number of hours the production line
operates. What is the ratio of cars built to hours of
production? At this rate, how many cars can they
build in 5 hours?
Answers
Answer:
60 cars per hour
Step-by-step explanation:
2/3 - 1/3 what the difference
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Answer:
2/3 begins w a 2 and 1/3 begins w a 1. thats the difference.. hope this helped :)
Step-by-step explanation:
Answer:
.3333333
Step-by-step explanation:
because u have to math ight
Help me please !!!
And thank you
Answers
Answer:
804.4
Step-by-step explanation:
the formula for the volume of a cube is the side length cubed,
so:
(9.3)(9.3)(9.3) = 804.357
then round it to 804.4
hope this helped!
solve this please
log(4x+16)=2
Answers
Answer:
X = -3.5
Step-by-step explanation:
Answer:
-7/2
Step-by-step explanation:
4x+16=2
-16 -16
4x= 2-16
4x=-14
/4 /4
x= -7/2
Please answer the correctly in the picture below 8TH GRADE MATHENMATICS?!
Answers
Answer:
B 3.5
Step-by-step explanation:
Hope it Helps!
Hope it helps my freind
The perimeter of a rectangle is 260 yards. The length is 30 yards greater than the width. Find the dimensions of the rectangle.
Answers
Answer:
width: 50 yards
length: 80 yards
Step-by-step explanation:
I would write an equation to start
x = width
260 = 2x + 2(x + 30)
260 = 4x + 60
200 = 4x
x = 50
Width = 50 yards
Length = width + 30
Length = 50 + 30
Length = 80 yards
Another submarine's descent can be represented as `y=-240x`, where u is the elevation and x is time in hours. How long will it take this submarine to make the descent (2,100 feet below the surface)?
Answers
Answer:
The time it will take is 8hours 45mins.
Step-by-step explanation:
Since y = –240x represents a submarine descent. We are looking for how long, that is the time, it will take for the submarine to make a descent of 2100. We know that y is the elevation, if it is descending it will be in the negative direction, making it -ve.
A descent of 2100 means y = –2100. Hence,
–2100 = –240x
x = –2100/–240 = 8.75hours = 8hours 45minutes. (0.75hours = 3/4hours = 3/4 x 60mins = 45mins).
What is the output of the function when the input is 10? On the graph plot this point and label its coordinates
Answers
Answer:
Output value = 20
Step-by-step explanation:
Graph of any function is made up of two values → Values on x axis and Values along y axis.
x values represent the input values and y values represents the output values.
For every x value there is a y value because of which the data set is called to a function.
In other words, a function can't have two output values for a single input value.
If the input value of function is = 10
Then for x = 10, out value (along y axis) will be = 20
Therefore, Output value of the given function is 20.
Help please look at the image
Thanks
Answers
Answer: Option 1
Reason: Math
what is 8.154 to 1 decimal place?
Answers
The main point is that you want to round 8.154 to two digits or places after the decimal point. Thus, we want to eliminate the last digit in 8.154. To eliminate the last digit in 8.154, we use the following Two Decimal Places Rules to get the answer:
Two Decimal Places Rule #1: If the last digit in 8.154 is less than 5, then remove the last digit.
Two Decimal Places Rule #2: If the last digit in 8.154 is 5 or more and the second to the last digit in 8.154 is less than 9, then remove the last digit and add 1 to the second to the last digit.
which quadrilateral makes this statement true? Quadrilateral ABCD
Answers
Answer:
A.
Step-by-step explanation:
over which of the following approximate intervals is the water level decreasing
pls help !
Answers
Answer:
B and C
Step-by-step explanation:
It is going down
Solve the following proportion for x.
X/13 = 17/7
Round your answer to the nearest tenth.
Answers
Answer:
31.6
Step-by-step explanation:
x / 13 = 17 / 7
7x = 221
x = 221 / 7
x = ~31.6
Answer fast!!!!!!!!!!!!!!
Answers
Answer fast!!!!!!!!!
Answers
Answer:
$0.52 = 0.52
Step-by-step explanation:
I think so.....
2x+1 cual es su respuesta ??
Answers
Answer:??
Step-by-step explanation:
¿A qué es igual la ecuación? x no se puede resolver sin un signo igual al final. por favor responda para que pueda ayudar! :D
Answer:
x= -1/2
Step-by-step explanation:
2x+1=0
-1 -1
2x= -1
➗ por 2
x= -1/2
find the area of an equilateral triangle of side 12 cm
Answers
Step-by-step explanation:
root 3 by 4a²
root3/4*(12)²
36root3
Answer:
A≈62.35cm²
Step-by-step explanation:
A=3
4a2=3
4·122≈62.35383cm²
The vertices of parallelogram DEFG are E(-1,4) F(5,6) and G (8,0). Find the coordinates of D
Answers
Answer:
The coordinates of D are (2,-2)
Step-by-step explanation:
The coordinates of point D are (2,-2)
The coordinates of the parallelogram are given as:
E(-1,4), F(5,6) and G (8,0)
For the coordinates to represent a parallelogram, the following must be true
[tex]x_D - x_E = x_G - x_F[/tex]
[tex]y_D - y_E = y_G - y_F[/tex]
So, the equations become
[tex]x_D -(-1) =8-5[/tex] and
[tex]y_D -4 =0-6[/tex]
Solve for x and y in the above equations
[tex]x_D -(-1) =8-5[/tex]
[tex]x_D +1 = 3[/tex]
[tex]x_D = 3-1[/tex]
[tex]x_D = 2[/tex]
[tex]y_D -4 =0-6[/tex]
[tex]y_D - 4 = -6[/tex]
[tex]y_D = 4-6[/tex]
[tex]y_D =-2[/tex]
Hence, the coordinates of point D are (2,-2)
Read more about parallelograms at:
https://brainly.com/question/11874218
Find the unknown side of the triangle below.
9 in
18.8 in
15 in
8 in
Answers
If you do a^2+b^2=c^2 which basically means 8+x=17, x would add up with 8 to 17. So that’s why it’s 9 :)
Answer:
its actually 15 inches, cause if you bring the bottom line up and compare it to the 17 line its a smidge shorter so go with the largests number the less then 17. theres proof for the quiz itself
Step-by-step explanation:
What is two thing you like about math
Answers
Answer:
1. Math encourages curiosity and questions.
2. Math can save you money. ...
The ratio of men to women working for a company is 5 to 6. If there are 198 employees total, how many women work for the company?
Answers
Answer: 110 Women !
Step-by-step explanation:
Call their numbers 4x to 5x.
Since there are a total of 198 people,
4x + 5x = 198
9x = 198
x = 22
so that there are
88 men and 110 women.
A 381 foot cable runs from the top of a radio tower to a skate in the ground. If it hits the ground 167 feet from the base of the tower , what is the angle of elevation that is makes with the ground?
Answers
Answer:
64°
Step-by-step explanation:
Using Pythagoras rule :
Cosθ = adjacent / hypotenus
Adjacent = 167
Hypotenus = 381
Cosθ = 167 / 381
Cosθ = 0.4383202
θ = Cos^-1(0.4383202)
= 64.003
Hence, angle of elevation = 64°
What are the coordinates of the point on the directed line segment from ( − 4 , 10 ) (−4,10) to ( 2 , − 10 ) (2,−10) that partitions the segment into a ratio of 1 to 3
Answers
Answer:
[tex]Z=(-2.5,5)[/tex]
Step-by-step explanation:
From the question we are told that
Point [tex]a=(-4,10)[/tex]
Point [tex]b= (2,-10)[/tex]
Ratio [tex]r=1:3[/tex]
Generally the section formula is mathematically given as
[tex]x=\frac{m_1x_2+m_2x_1}{m_1+m_2}[/tex]
[tex]y=\frac{m_1y_2+m_2y_1}{m_1+m_2}[/tex]
Generally the point P(x,y) is mathematically given as
[tex]x=\frac{1(2)+3(-4)}{1+3}[/tex]
[tex]x=-2.5[/tex]
[tex]y=\frac{(1)(-10)+(3)(10)}{1+3}[/tex]
[tex]y=5[/tex]
Required Co-ordinates Z is
[tex]Z=(-2.5,5)[/tex]
The ratio of a:b is 3:4.
the ratio of b:c is 5:3.
work out the ratio of a:c
Answers
ILL GIVE BRAINLIESAT FOR FIRST ANSWER!
Divide
3÷1/12
Answers
Step-by-step explanation:
is 36 hello my name is santiago i am fron Colombia
Similar polygons have corresponding sides that are proportional and corresponding angles that are -
A congruent
B parallel
C similar
D proportional
Answers
hope this helped <33
