Answers
Answer:
[tex]sin\:(J)\:=\:\frac{4\sqrt{5}}{7\sqrt{2}}[/tex]
Step-by-step explanation:
As we know that
sinФ = opposite ÷ hypotenuse
Given the triangle with
Ф = JThe opposite of j is [tex]4\sqrt{5}[/tex]The length of the hypotenuse of a right triangle can be calculated as:
[tex]c=\sqrt{a^2+b^2}[/tex]
[tex]c=\sqrt{\left(3\sqrt{2}\right)^2+\left(4\sqrt{5}\right)^2}[/tex]
[tex]c=\sqrt{3^2\cdot \:2+4^2\cdot \:5}[/tex]
[tex]c=\sqrt{18+80}[/tex]
[tex]c=\sqrt{98}[/tex]
[tex]c=\sqrt{7^2\cdot \:2}[/tex]
[tex]c=\sqrt{2}\sqrt{7^2}[/tex]
[tex]c=7\sqrt{2}[/tex]
so
sinФ = opposite ÷ hypotenuse
substituting the values Ф = J, opposite = [tex]\sqrt{5}[/tex], hypotenuse = [tex]c=7\sqrt{2}[/tex]
[tex]sin\:(J)\:=\:\frac{4\sqrt{5}}{7\sqrt{2}}[/tex]
Therefore,
[tex]sin\:(J)\:=\:\frac{4\sqrt{5}}{7\sqrt{2}}[/tex]
Related Questions
A block of wood is in the shape of a rectangular prism with dimensions (n+5) cm, (n+8) cm, and (n+14) cm. All faces of the block are painted, and then the block is cut into 1 cm cubes using parallel cuts to each face. If exactly half of the cubes have no paint on them, find the total number of cubes.
Answers
Answer:
The total number of cubes in the rectangular prism are 1,120 cubes
Step-by-step explanation:
The given parameters are;
The dimensions of the rectangular prism block of wood = (n + 5), (n + 8), and (n + 14)
The volume of the block of wood = (n + 5)×(n + 8)×(n + 14) = n³ + 27·n² + 222·n + 560
The quantity of the 1 cm cubes that have no paint = 1/2 of the total quantity = 1/2 the volume of the original cube
The cubes that have paint on them are the surface cubes, we have;
One layer of cube is removed from each of the eight sides, therefore, we have the dimensions of the cube rectangular prism that have no paint on them given as (n + 5 - 2), (n + 8 - 2), and (n + 14 - 2), which gives the dimensions as (n + 3), (n + 6), and (n + 12);
Therefore, we have
2 × (n + 3)×(n + 6)×(n + 12) = (n + 5)×(n + 8)×(n + 14)
2 × (n + 3)×(n + 6)×(n + 12) - (n + 5)×(n + 8)×(n + 14) = 0
Which gives;
n³ + 15·n² + 30·n - 128 = 0
n = 2
n = -17/2 - √(33)/2 = -5.6277
n = √(33)/2 - 17/2 = -11.3722
Therefore, given that the smallest dimension of the painted prism = (n + 5), the possible value for n = 2
The volume of the rectangular prism = (n + 5) × (n + 8) × (n + 14) = (2 + 5) × (2 + 8) × (2 + 14) = 1120 cm³
Given that the cuts are 1 cm³ each, the total number of cubes in 1,120 cm³ = 1,120 cubes.
Use the word decay in a sentence
Use the word growth in a sentence
Answers
Answer:
If you don't water your plants and give them sun light they will slowly start to decay.
The growth of how my sister grew this year is incredible she used to be super short.
Step-by-step explanation:
2. i monitored the growth of my plant overtime.
Look at the photo and you can see it
Answers
Answer:
huh wym?
you will see it?
Step-by-step explanation:
The formula for area of a triangle is given by: A=bh/2 Rearrange the formula to solve for b
Answers
Answer:
b = 2A
h
Step-by-step explanation:
A=bh/2
2A = bh
b = 2A
h
Answer:
b=(2a)/h
Step-by-step explanation:
Multiply both sides by 2
2A=bh
Divide both sides by h
(2a)/h=b
What is the slope of the following line
Answers
(3-0)/(1-0) = 3/1 = 3
Slope is 3
PLEASE HELP, I WILL MARK BRANLIEST AND THANKS!!!
Draw the shape made by slicing the CUBE (THINK: A CUBE HAS 6 SIDES THAT ARE THE SAME MEASURE) parallel to its bases.
Answers
Step-by-step explanation:
hope it helps you
i think your question was this only
WHOEVER ANSWERS FIRST GETS BRAINLIEST
A regular six-sided number cube is rolled 300 times. Select the outcomes that are
expected to occur about 50 times.
O A. A number greater than 4 is rolled.
B. 3 is rolled.
O C. A number less than 2 is rolled.
O D. An odd number is rolled.
E. 5 is rolled.
Answers
A gallon of Moo Milk costs $5.12. What is the price, in dollars, of an 8 ounce glass of Moo Milk?
There are 128 ounces in 1 gallon
Answers
Answer:
Your answer is 42
please mark me brain list
Abby is using the Distributive Property to find 27 x 52
Drag the correct number into each box to show her work.
Numbers may be used once, more than once, or not at all.
27 x 52 = (20 +
) x (50 +
= (20+7)x
+ (20+7)x
= (20 x 50) + (7 x 50) + (20 X 2) + (7 2)
11
Answers
Answer:
27 x 52 = ( 20 + 7 ) x ( 50 + 2 ) = 1404
Step-by-step explanation:
27 x 52
( 20 + 7 ) x ( 50 + 2 )
(20 x 50) + (20 x 2) + (7 x 50) + (7 x 2)
= 1000 + 40 + 350 + 14
= 1404
Carson is training for a race. He ran 12.56 miles on one day and 12.98 miles the next day. How much farther did he run the second day than the first day? *
Answers
Answer:
.42 miles more
Step-by-step explanation:
12.98 minus 12.56
Can someone help with these 2 questions please? will give brainliest and 19 points (one is in picture attached)
You order candles from a website that charges $15 per candle. You
only have $65.00 to spend on candles. Your cost, in dollars, is a
function of the number of candles you order.
Which of the following statements describe the domain and range
of this function? Select TWO that apply.
O A) The domain is the set of all real numbers from 0 to 4
O B) The domain is the set of all integers from 0 to 4.
O C) The range is the set of all integers from 0 to 60.
OD) The range is the set of all multiples of 15 from 0 to 60.
OE) The range is the set of all real numbers from 0 to 60.
Can someone help with these 2 questions please? will give brainliest and 19 points
Answers
Answer:
A
Step-by-step explanation:
I think
Answer: D and B
Step-by-step explanation:
The range (answered by D) is only the multiples of 15 between 0 and 60 as it is impossible to pay an amount different than the correct inclinations of 1/15 per candy. For example, it is impossible to pay 12.345421 dollars for a candy.
A similar solution applies for the domain. Only integers(whole numbers) are valid as you cannot buy 1.2862 of a candy.
Hope this helps.
Write the equation in point-slope form of the line that passes through the given point and with the given slope m.
(3,-4); m = 6
O y + 4 = 6(x - 3)
O y + 3 = 6(x-4)
O y + 4 = 6(x +3)
O y - 4 = 6(x-3)
Answers
Answer:
y + 4 = 6(x - 3)
Step-by-step explanation:
Point-slope form: y - y1 = m(x - x1)
Given: m = 6, (3, -4)
(x1, y1) = (3, -4)
Input the given values into the equation for point-slope form:
y - (-4) = 6(x - 3)
y + 4 = 6(x - 3)
The equation written in point-slope form is: y + 4 = 6(x - 3)
I hope this helps :)
hey bro's help me!!
Answers
Answer:
-7 and 12 gl
Step-by-step explanation:
Answer:
1. -7
2. 12
Step-by-step explanation:
Hope this helps :)
A pancake mix requires 5 cups of flour for every 10 pancakes. How much flour is used per pancake?
Answers
So you have 5 cups of flour for 10 pancakes so what you want to do is just divide 10 by 5 and you get your answer of 2 :)
HELPPPP FASTTTT
PLEASEEEEEEEEEEEE
Answers
Answer:
Function A has a greater slope than Function B.
Step-by-step explanation:
An easy way to solve this would be to graph function B and see which line is steeper. The steeper line always has greater slope.
Answer:
A
Step-by-step explanation:
its function would be y=4x+2
The formula for throwing a baseball in the air is represented by the attached function, where h represents the height of the ball in inches, and t represents time. How high is the baseball after 3 and a half seconds?
h(t)=-3t^2+12t+40
Answers
Answer:
45.25 in
Step-by-step explanation:
To solve this question you would plug 7/2 or 3.5 in for t and solve for h(t).
h(t)=-3(7/2)^2+12(7/2)+40
=-3(49/4)+(84/2)+40
=(-147/4)+42+40
=-36.75+42+40
=45.25 in
if f(x)=x-5/4 and f-1(x)=25 find the value of x
Answers
Answer:
ANSWER
g=f
−1
f(g(x))=x
Differentiate w.r.t.x
f
′
(g(x))⋅g
′
(x)=1
∴
1+(g(x))
4
1
⋅g
′
(x)=1
g
′
(x)=1+[g(x)]
4
What is the range of the function graphed on the grid? { x │ x = -2, 2, 4} {y│-3 ≤ y ≤ 4} {y│ y = -3, 0, 4} { x │-2 ≤ x ≤ 4}
Answers
Answer:
The image is sideways.
But if your graph is like on the image, then the answer is: {y│-3 ≤ y ≤ 4}
Range is the set of y values
Least function value is -3 and greatest is 4
Answer:
{y│-3 ≤ y ≤ 4}
Step-by-step explanation:
Does this table show a proportional relationship? If so, what is the constant of proportionality.
Answers
Answer:
yes as x increases by 10, y increased by 2
The position of an object in a video game is represented by an ordered pair. The coordinates of the ordered pair give the
number of pixels horizontally and vertically from the origin. Use this scenario for Exercise.
a. Suppose that player A is located at (36, 315) and player B is located at (410, 53). How far apart are the players? Round to
the nearest pixel
b. If the two players move directly toward each other at the same speed, where will they meet?
c. If player A moves three times faster than player B, where will they meet? Round to the nearest pixel.
Answers
Answer:
a. 457 pixels b. 229 pixels c. 114 pixels
Step-by-step explanation:
a. Using d = √[(x₂ - x₁)² + (y₂ - y₁)²] to find the distance apart of the coordinates (x₁, y₁) and (x₂, y₂) where (x₁, y₁) = (36, 315) and (x₂, y₂) = (410, 53).
So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(410 - 36)² + (53 - 315)²]
= √[374² + 262²]
= √[139,876 + 68,644]
= √208,520
= 456.64
= 457 pixels to the nearest pixel.
b. Since the players are d' distance apart, and moving at a same speed of v, if they approach each other, they meet at time t. So player A covers a distance of d = vt. For them to meet, player B approaches and covers a distance of d = d' - vt. So they meet when vt = d' - vt.
Solving this, we have
vt = d' - vt
vt + vt = d'
2vt = d'
t = d'/2v
Substituting t into d = vt, we have
d = vt
= v(d'/2v)
= d'/2
= 457/2
= 228.5
≅ 229 pixels to the nearest pixel
c. Since the players are d' distance apart, and player A moves at a speed three times that of player B, if player B moves with speed v, then player A moves with speed 3v, as they approach each other, they meet at time t. So player A covers a distance of d = 3vt. For them to meet, player B approaches and covers a distance of d = d' - vt. So they meet when 3vt = d' - vt.
Solving this, we have
3vt = d' - vt
3vt + vt = d'
4vt = d'
t = d'/4v
Substituting t into d = vt, we have
d = vt
= v(d'/4v)
= d'/4
= 457/4
= 114.25
≅ 114 pixels to the nearest pixel
-2a3 - 3a2 + 4a + 6, 2a3 + 5a2 + 7
sum the expression
Answers
Answer:
2a2 + 4a + 7
Step-by-step explanation:
As, - (2a3 - 3a2 + 4a + 6) + (2a3 + 5a2 + 7)
= 2a2 + 4a + 13
1
What is the equation of the line parallel to 8x - 16y= -14 and passing through (3, 0)?
Answers
Answer:
8x -16y = 24
Step-by-step explanation:
8x - 16y= -14
A parallel line (i.e. same slope) will be: 8x - 16y= c
We have to find the value of "c".
If it passes through (x, y) = (3, 0) ⇒ 24 - 0 = c,
so equation is 8x -16y = 24
I need help these. Thank you. :)
Answers
Answer:
the answer is 3 hope this helps
of 10
Find the gradient of the line segment between the points (2,-2) and (0,-6).
Answers
Answer:
The answer is 2Step-by-step explanation:
The gradient of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]
From the question we have
[tex]m = \frac{ - 6 - - 2}{0 - 2} = \frac{ - 6 + 2}{ - 2} = \frac{ - 4}{ - 2} = 2 \\ [/tex]
We have the final answer as
2Hope this helps you
10) Choose the correct answer.
A method of solving systems of linear equations by adding the two equations together is called __________.
*Gaussian addition
*Gaussian elimination
*Gaussian division
*Gaussian substitution
Answers
I really need help please I will mark you as brainlist
Answers
7.5 times 5 = $37.50 earned in 5 hours
Answer: 30
Step-by-step explanation:
Plz someone solve!!!!!!!!!!!!!!!!!!!
Answers
Answer:
C
Step-by-step explanation:
4y+3 <= y+6
First, we subtract 3 from each side to get 4y <= y + 3.
Next, we subtract y from each side to get 3y <= 3.
Next, we divide each side by 3 to get y <= 1.
The graph is C.
A cleaning company charged $125 to clean a 2500 square foot house. The same company charged $146 to clean a 3200 square foot house. Write an equation in slope-interceptiom to represent the total cost, y, to clean a house with x square feet. Then, find the total cost to clean a house that is 4500 square feet.
Answers
Answer:
The cost is y = $185
Step-by-step explanation:
Let us have points spelt out here
(2500,125) and (3200,146)
The general form of a straight line equation is;
y = mx + b
where m is slope
So to calculate the slope in this case, we have
m = (146-125)/(3200-2500)
m = 21/700 = 0.03
So we have the equation as
y = 0.03x + b
To get b, we use any of the two points
Let us use (2500,125)
So we have
125 = 0.03(2500) + b
125 = 75 + b
b = 125-75
b = 50
So the complete equation of the line is;
y = 0.03x + 50
So here, we want to find the cost of a house with 4500 square feet
simply substitute 4,500 for x
y = 0.03(4500) + 50
y = 135 + 50
y = $185
Find the solution of the system of equations.
First equation,
4x – 3y = -13
Second equation,
-x+ 6y = -44
Answers
HELP!!
Uber is running a special! You pay an initial charge of $3.25 plus 1.50 per mile. Write an equation that can be used to find y, the total cost of the trip, if x represents the number of miles of the trip?
Answers
Answer:
y=1.50x+3.25
Step-by-step explanation: