Unit l2 trigonometry homework 6 law of cosines
Does anyone know the answer please help!
Answers
Step-by-step explanation:
The law of cosine states that:
[tex]C^2=B^2+A^2-2AB\cos(\theta)[/tex], where C is the side opposite of angle theta, and A and B are the adjacent sides of the angle.
In this case, A is equal to 21, and B is equal to 30 (or it could also be the other way around). That means that:
[tex]C^2=21^2+30^2-2\cdot21\cdot30\cos(73)\\C=\sqrt{21^2+30^2-2\cdot21\cdot30\cos(73)}=\boxed{31.186722}[/tex] (to nearest 6 digits)
Answer:
102.61
Step-by-step explanation:
assuming that QS is the hypothesis we us the fromula like this:
[tex]30cos(73)[/tex]
which gives us 8.7711511417 or we can round to 8.77
assuming that QS is the adjacent we use:
[tex]\frac{30}{cos(73)}[/tex]
which gives us 102.609108595 or rounded to 102.61
looking at both answers we can see that 102.61 would be the correct answer.
Related Questions
What percentage (nearest whole percent) is budgeted for entertainment if $200 is allotted from a total budget of $1260 ?
Answers
Answer:16%
The price of Stock A at 9 A.M. was $14.83. Since then, the price has been increasing at the rate of $0.12 each hour. At noon the price of Stock B was $15.33. It begins to decrease at the rate of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answers
Answer:
0.5 hoursStep-by-step explanation:
Let the x be the number of hours after noon.
We have the following equation:
14.83 + 0.12(x + 3) = 15.33 - 0.15x 14.83 + 0.12x + 0.36 = 15.33 - 0.15x0.12x + 0.15x = 15.33 - 15.190.27x = 0.14x = 0.14/0.27x ≈ 0.5Find the distance between the points (-4,9) and (5, -3).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units
Submit
Answers
Answer:
15 unitsStep-by-step explanation:
The formula of a distance between two points:
[tex]A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}}[/tex]
We have:
[tex]A(-4;\ 9);\ B(5;\ -3)\\\\|AB|=\sqrt{(5-(-4))^2+(-3-9)^2}=\sqrt{9^2+(-12)^2}=\sqrt{81+144}\\\\=\sqrt{225}=15[/tex]
Find the volume of the prism
Answers
Answer:
Step-by-step explanation:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.
Shown below is a jar which is in the shape of a right circular cylinder. What is the length of the longest stick that could fit in this jar (without bending or breaking the stick and with no part sticking out)?
Answers
Answer:
14.14
Step-by-step explanation:
please find attached a diagram showing the stick and the jar
the length of the longest stick can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² + 10²
100 + 100 = 200
determine the square root of 200
= 14.14
which is the correct answer? ( links = report )
Answers
A rectangular balcony is 14 feet long and 6 feet wide. What is its area?
Answers
Answer:
I will do
Step-by-step explanation:
length of balcony: 14 feet
Breadth of balcony:6 feet
area of rectangular balcony: length ×breadth
answer 14ft × 6ft = 84ft²
BREADTH MEANS WIDE
Please I need help!!!!
Answers
Answer:
1st
Vertex
we have
f(x)=x²-18x+88
let
y=x²-18x+88
comparing above equation with ax²+bx+c
we get
a=1
b=-18
c=88
now
vertex(x,y)=(-b/2a,f(-b/2a))
x=(18/2×1)=9
y=f(9)=9²-18×9+88=7
SO
VERTEX(X,Y)=(9,7)
=
#1
y=x²-18x+88x coordinate of vertex
-b/2a18/29y coordinate
y=9²-18(9)+88y=81+88-162y=7Option C.
#2
y=x²-9x-36y intercept
y=0-36=-36(0,-36)
x inetercepts
x²-9x-36=0x²-12x+3x-36=0(x-12)(x+3)=0x=12,-3(12,0)U(-3,0)
#3
y=-x²+3x+12Find dy/dx
-2x+3f'(x)=0<=>x=3/2
For increasing
-2x+3>0x<3/2For decreasing
x>3/2F(x) is increasing on (-oo,3/2)
F(x) is decreasing on (3/2,oo)
DPLZ NEED HELP ASAP SHOW WORK TO PLZ IT WOULD MEAN A LOT
Answers
First Chart: Perimeter
Square Portion:
Original Side Lengths: P = 4 (1 + 1 + 1 + 1 ) =4
Double Side Lengths: P = 8 (2 x 4 = 8)
Triple Side Lengths: P = 12 (4 x 3 = 12)
Quadruple Side Lengths: P = 16 (4 x 4 = 16)
Rectangle Portion:
Original Side Lengths: P = 6 (1 x 2 + 2 x 2 = 6)
Double Side Lengths: P = 12 (2 x 2 + 4 x 2 = 12)
Triple Side Lengths: P = 24 (4 x 2 + 8 x 2 = 24)
Quadruple Side Lengths: P = 48 (8 x 2 + 16 x 2 = 48)
Second Chart: Area
Square Portion:
Original Side Lengths: A = 1 (1 x 1 = 1)
Double Side Lengths: A = 4 (2 x 2 = 4)
Triple Side Lengths: A = 9 (3 x 3 = 9
Quadruple Side Lengths: A = 16 ( 4 x 4 = 16)
Rectangle Portion:
Original Side Lengths: A = 2 ( 1 x 2 = 2 )
Double Side Lengths: A = 8 ( 2 x 4 = 8)
Triple Side Lengths: A = 18 ( 3 x 6 = 18)
Quadruple Side Lengths: A = 32 (4 x 8 = 32)
Can someone help me ?? I’ll give Brainliest
Answers
Answer: All I'm seeing is a blank screen I'm sorry can you try it again?
Answer:
nice black screen i like it
Solve for x and y. X= Y=
Answers
Answer:
x = 82°
y = 8°
Step-by-step explanation:
[tex]x + 98 = 180 \\ x = 180 - 98 \\ x = 82[/tex]
[tex]y + x = 90 \\ y + 82 = 90 \\ y = 90 - 82 \\ y = 8[/tex]
The top and bottom shelves of a triangular shelving unit are similar triangles. The shortest and longest sides of the larger shelf are 16.5 inches and 22.5 inches long. (24 POINTS PLS HELP) The longest side of the smaller shelf is 15.75 inches long. How long is the shortest side of the smaller shelf?
A. 11.45 inches
B. 11.55 inches
C. 24.48 inches
D. 23.57 inches
Answers
Answer:
Its B
Step-by-step explanation:
In a group of 24 people, 10 study
Physics, 15 study Chemistry and
18 study at least one subject.
Find the number of people who
do not study any of the subject.
Answers
click the photo there is the answer
PLEASE HELP FAST!!!
One number is equal to the square of another. Find the numbers if both are positive and their sum is 90.
Answers
Answer:
x = y^2
:
Find the numbers if both are positive and their sum is 12
x + y = 12
replace x with y^2, you have a quadratic equation
y^2 + y - 12 = 0
Step-by-step explanation:
Factors to
(y+4)(y-3) = 0
The positive solution is all they want here
y = 3
then
x = 3^2
x = 9
;
they add up to 12
Answer:
I’m a bit confused by the question, but hope this helps. Look below!
Step-by-step explanation:
There are multiple different ones, but here’s the ones I think. (This is my work btw.)
45+45= 90
45•45= not 45
10+80=90
10•10= not 80
9+81= 90
9•9=81
9 and 81!
The pay rate of a worker, P(h), as a function of the number of hours worked h is shown in the graph.
What is the practical range for the function p(h)?
(6,12)
[0,40]
[6,12]
{6,8,10,12}
Answers
Answer:
{6,8,10,12}
Step-by-step explanation:
just took the test
A spinner is spun 77 times and stops on the color green 17 times. Calculate the experimental probability of the spinner stopping on the color green.
Answers
Answer:
[tex]\boxed {\boxed {\sf \ \frac {17}{77}}}}[/tex]
Step-by-step explanation:
The experimental probability is the probability of an event occurring in an experiment that was conducted. It is the ratio of the times an event occurred to the total trials.
[tex]P(event)= \frac{ number \ of times \ event \ occurs} {total \ number \ of \ trials}[/tex]
We are trying to find the experimental probability of landing on green.
The spinner was spun 77 times. This is the total number of trials. The spinner landed on green 17 times. This is the event.[tex]P(green)= \frac{17}{77}[/tex]
This fraction cannot be simplified any further, so the experimental probability of landing on the color green is 17/77
there is 1/3 of a pan of cornbread left. Four children are going to share it equally. What fraction of the whole pan of cornbread with each child get?
Answers
When multiplying fractions, you multiply straight across? Yes or No ?
Answers
Answer:
YES!
Step-by-step explanation:
You do multiply straight across for ex: 3/4 x 4/3= 12/12=1
For addition you don't but for multiplication you do!
given p(a) =0.7, P(b) = .86 and P (A and B) = 0.652 find the value of p (A|B)
Answers
Answer:
.758 or 163/215
Step-by-step explanation:
Conditional probablity formula:
(A|B)= (A∩B)/B
we have
.652/.86
this equals .758 or 163/215
find the distance between the points (-2,2) and (0,4)
Answers
Answer:
(2,2)
Step-by-step explanation:
Difference between -2 and 0 is 2 and difference between 4 and 2 is 2
Answer:
difference in y is 6 difference in x is 2
Step-by-step explanation:
A dentist has male and female patients that range in ages from 10
years old to 50 years old and up as shown in the table. What is the
experimental probability that the next patient will be female and in
the age range 22-39? Enter your answer in simplified fraction
form.
Answers
Answer:
56/125
Step-by-step explanation:
Shabina is making a cubiod-shaped swimming pool. Her pool will be 20m long and 5m wide. Its volume will be 200m squared. What is the depth of her pool?
Answers
Answer:
2m
Step-by-step explanation:
HxWxL
20m x 5m = 100m
200m/100m = 2m
What solution to the system? Write the x-value and the y-value
10x+7y=1
-5x-7y=24
Answers
Answer:
y = - 7 and x = 5
Step-by-step explanation:
10x + 7y - 5x - 7y = 1 + 24
5x = 25
5x ÷ 5 = 25 ÷ 5
x = 5
- 5(5) - 7y = 24
- 25 - 7y = 24
- 25 + 25 - 7y = 24 + 25
- 7y = 49
- 7y ÷ - 7 = 49 ÷ - 7
y = - 7
need help fast!!!!!!!!!! :)
Answers
Step-by-step explanation:
with what that would help me
A campground covers their
rectangular-shaped pool each
winter. If the area of the cover is
333.5 square feet, and the pool is
23 feet long, find the width.
Answers
Answer:
width = 14.5 feet
Step-by-step explanation:
Area = length * width
333.5 = 23 * x divide both sides by 23
14.5 = x
On a coordinate plane, point A is located at (7, 4), and point B is located at (-8, 4). What is the distance between the two points? *
-1
3
15
56
Answers
Answer:
Solution given;
A(x1,y1)=(7,4)
B(x2,y2)=(-8,4)
distance AB=?
we have
d=[tex]\sqrt{(x2-x1) ²+(y2-y1) ²}[/tex]
AB=[tex] \sqrt{(-8-7)²+(4-4)²}[/tex]
AB=15 units
the distance between the two points is 15 units.
Line t is mapped onto line m by a dilation centered at the origin with a scale factor of 2. The equation of line t is 3x-y=4. Determine and state an equation for line m.
Answers
9514 1404 393
Answer:
line m: 3x -y = 8
Step-by-step explanation:
The dilation scale factor affects only the constant in a linear equation. The scaled lines are parallel to each other, so the slope, or ratio of coefficients, does not change.
3x -y = 4 scaled by a factor of 2 becomes 3x -y = 8.
PLEASE THIS IS LATE AND IF I DON'T GET IT TURNED IN WITHIN 5 MINUTES I WILL FAIL
Answers
Answer:
yo dude it's D (hope this helps)
Answer:
The answer is D
Step-by-step explanation:
12/13 will shrink the number if multiplied by 5
1 will just be 5(1) which is still 5
12/12 is the same as multiplying 5 by 1 which is also 5
Multiplying 5 by 0 will obviously make it 0
what is the length for the 3rd side? write in simplest radical form if needed
Answers
Answer:
10
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
Let the third side be x , then
x² + 6² = (2[tex]\sqrt{34}[/tex] )²
x² + 36 = 136 ( subtract 36 from both sides )
x² = 100 ( take the square root of both sides )
x = [tex]\sqrt{100}[/tex] = 10
Helppp me for Brainlyiest pls provide proofff or nun
Answers
Answer:
2a + b/4
Step-by-step explanation:
The expression is the sum of two terms (2a + b/4)
The first term is the product (Multiply) of 2 and a (2a)
The second term is the quotient (Divide) of b and 4 (b/4)
A number and a variable always means multiply ( the word AND ) , a quotient is the product of division.