Hey there! I'm happy to help you!
When talking about trigonometric ratios, we can use a handy little mnemonic device called soh cah toa which shows us the ratios for each one. Soh is sine equals opposite over hypotenuse, cah is cosine equals adjacent over hypotenuse, and toa is tangent equals opposite over adjacent.
In our triangle, we can apply the following with the given information.
[tex]sin=\frac{opposite}{hypotenuse} =\frac{9}{3\sqrt{13} } =\frac{3}{\sqrt{13} } =\frac{3\sqrt{13} }{13} \\\\cos=\frac{adjacent}{hypotenuse} =\frac{6}{3\sqrt{13} } =\frac{2}{\sqrt{13} } =\frac{2\sqrt{13} }{13} \\\\tan=\frac{opposite}{adjacent} =\frac{6}{9} =\frac{2}{3}[/tex]
Therefore, the answers will be sin, cos, and then tan going down in the answer order you gave!
I hope that this helps! Have a wonderful day!
3) Which of the equivalent expressions for P(x) reveals the profit when the price is
zero without changing the form of the expression?
a) P(x) = -3x2 + 432x - 1680
b) P(x) = -3(x - 4)(x - 140)
c) P(x) = -3(x - 72)2 + 13872
4) Find the profit when the price is zero.
Question:
Which of the equivalent expressions for P(x) reveals the profit when the price is
zero without changing the form of the expression? P(x) = -3x² + 432x - 1680
a) P(x) = -3(x - 4)(x - 140)
b) P(x) = -3(x - 72)² + 13872
Find the profit when the price is zero
Answer:
- P(x) = -3(x - 140)(x - 4).
- P(0) = -1680
Step-by-step explanation:
Given
P(x) = -3x² + 432x - 1680
Required
- Find equivalent of P(x)
- Find P(x) when x = 0
To find the equivalent of P(x), we simply factorize P(x) = -3x² + 432x - 1680.
This is done as follows
P(x) = -3x² + 432x - 1680
P(x) = -3x² + 12x + 420x - 1680
P(x) = -3x(x - 4) + 420(x - 4)
P(x) = (-3x + 420)(x - 4)
Further expand -3x + 420
P(x) = -3(x - 140)(x - 4).
Hence, the equivalent of
P(x) = -3x² + 432x - 1680
without changing its form is
P(x) = -3(x - 140)(x - 4).
When price is 0, then x = 0.
Substitute 0 for P(x) in P(x) = -3(x - 140)(x - 4).
P(0) = -3(0 - 140)(0 - 4).
P(0) = -3(-140)(-4)
P(0) = -1680
Hence, the profit when price is 0 is -1680
You have a jar of marbles with 7 red, 12 blue, 6 yellow, and 9 white. What is the probability of selecting a marble that is not red, replacing it and then one that
is white?
Answer:
The probability of selecting a marble that is not red, replacing it and then one that is white is 0.2102
Step-by-step explanation:
Number of red marbles = 7
Number of blue marbles = 12
Number of yellow marbles = 6
Number of white marbles = 9
Total marbles = 7+12+6+9=34
Probability of selecting red marble =[tex]\frac{7}{34}[/tex]
Probability of selecting no red marble = [tex]1-\frac{7}{34}=\frac{27}{34}[/tex]
Now replacing it one marble is drawn again
So, Probability of getting white marble [tex]=\frac{9}{34}[/tex]
So,the probability of selecting a marble that is not red, replacing it and then one that is white =[tex]\frac{27}{34} \times \frac{9}{34}=0.2102[/tex]
Hence the probability of selecting a marble that is not red, replacing it and then one that is white is 0.2102
simplify the expression
Answer:
4k(2k² - 5k - 4) + 5(2k² - 5k - 4)
8k³ - 20k² - 16k + 10k² -25k - 20
8k³ - 10k² - 41k - 20
Thus its G
So the right answer is of option G.
Look at the attached picture
Hope it will help you...
Good luck on your assignment
Someone please help me!
Answer:
18.5
Step-by-step explanation:
You are given the opposite side, and need to find the hypotenuse, leading you to use sine.
Set it up, like so:
[tex]sin67=\frac{17}{x} \\[/tex]
Multiply everything by x, to remove it from the denominator:
[tex]x(sin67=\frac{17}{x} )\\xsin67 = 17[/tex]
Divide both sides by sin67:
[tex]x = \frac{17}{sin67} \\x = 18.46[/tex]
Round to nearest tenth:
x = 18.5
i really don't understand math
Answer:
b = 6 mm
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
b² + 8² = 10²
b² + 64 = 100 ( subtract 64 from both sides )
b² = 36 ( take the square root of both sides )
b = [tex]\sqrt{36}[/tex] = 6
b = 6 mm
Step-by-step explanation:
To find the missing side of a right triangle, we can use the Pythagorean theorem. This is...
[tex]a^2+b^2=c^2[/tex]
It is important to know that c will always be the hypotenuse, or in this case 10. We can plug everything we know from the picture into the theorem.
[tex]8^2+b^2=10^2[/tex]
[tex]64+b^2=100[/tex]
Subtract 64 from both sides.
[tex]b^2=36[/tex]
A lot of people make the mistake of thinking the final answer is 36, but since b is squared we need to find the square root of 36.
[tex]\sqrt{36}=6[/tex]
b = 6
Find the measure of angle U
Answer:
30 degrees
Step-by-step explanation:
first you have to find angle TSU which is 70 degrees
you get this my doing 180 - 110
then you add up all the angles in the triangle
so, 80 plus 70
you get 150
then you do 180 - 150 and get 30 degrees
What value of c makes the equation true? Assume x greater-than 0 and y greater-than 0
RootIndex 3 StartRoot StartFraction x cubed Over c y Superscript 4 Baseline EndFraction EndRoot = StartFraction x Over 4 y (RootIndex 3 StartRoot y EndRoot) EndFraction
c = 12
c = 16
c = 64
c = 81
Answer:
is C=64
Step-by-step explanation:
Answer:
c=64
Step-by-step explanation:
I took the test
find the solution of this system of equations
-10x-6y=0
-4x-6y=54
Should be an answer like 0,0
Answer:
(9, -15)
Step-by-step explanation:
First, label the 2 equations:
-10x -6y= 0 -----(1)
-4x -6y= 54 -----(2)
(2) -(1):
(-4x -6y) -(-10x-6y)= 54 -0
-4x -6y -(-10x) -(-6y)= 54 (expand, simplify)
-4x -6y +10x +6y= 54 (expand)
10x -4x= 54 (simplify)
6x= 54
x=54 ÷6
x= 9
susbt. x=9 into (1):
-10(9) -6y=0 (subst. x=9 into -10x-6y=0)
-90= 6y (bring y term to the other side)
6y= -90
y= -90 ÷6
y= -15
Thus, the solution is (9, -15).
The value of X is 9.
The value of y is -15.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Someone pls help!!!!
Answer:
c
Step-by-step explanation:
Answer:
11.1
Step-by-step explanation:
sin48=x/15 (x is over 15)
then multiply each side by 15 and it cancels on the right.
you should be left with:
15sin48=x
type that in desmos and you should get:
11.1471723822
What is the surface of a box 8“ x 7“ x 2“
Answer:
172 inches squared
Step-by-step explanation:
(8 x 7)2= 112
(7 x 2)2= 28
(8 x 2)2= 32
32 + 28+ 112
172 inches squared
The diameter of a circle is 6
inches. What is its
approximate
area?
Answer:
A =28.26 inches^2
Step-by-step explanation:
The diameter is 6 so the radius is d/2 = 3
The area is given by
A = pi r^2
A = pi (3)^2
A = 9pi
Using 3.14 for pi
A = 9 * 3.14
A =28.26 inches^2
Answer:
~28.2743
Step-by-step explanation:
- The formula for a circle's area is: Area= pi * radius^2
1.) We know the diameter is 6, and the radius is ALWAYS half of the diameter so the radius=3.
2.) Now we square the radius and multiply it by pi, which ends up as ~28.2743 as the area.
Find the value of x and y
Answer:
x = 5
y = 3
Step-by-step explanation:
9x and 45 are alternate interior angles, meaning they're congruent, so set them equal to one another, like so:
9x = 45
Divide both sides by 9:
x = 5
Solving for y, the two sides are of equal length, so set them equal:
6y = 18
Divide both sides by 6:
y = 3
Step-by-step explanation:
By alternate interior angle
9x=45°
x=5°
All parallel sides are equal in parallelogram
6y=18
y=3
I NEED HELPPPPP!!!! PLZZZ
Answer:
13.5
Step-by-step explanation:
Two cars are 270 miles apart and traveling toward each other on the same road. They meet in 3 hours. One car is traveling 6 mph faster than the other. What is the speed of each car?
Answer:
42
Step-by-step explanation:
3(x+x+6)=270
3(2x+6)=270
6x+18=270
6x=252
x=42
The table shows the cost in dollars, y, for renting a pair of snow skis or renting a snowboard for x days. Which function shows the combined cost in dollars, y, for renting two pairs of snow skis and two snowboards for x days? y = 45x + 60 y = 90x + 120 y = 25x + 25 y = 20x + 35
Answer: this is the right answer y = 90x + 120
Step-by-step explanation:
Find the mean? Read question rest is done.
Answer:
I believe its 8
Step-by-step explanation:
9 + 10 + 13 + 2 +6 = 40 / 5 = 8
plz answer below 38 pts and will mkae u brainliest.
Answer:
Question 1: She needs 12 blue beads and 48 black beads.
Question 2: She needs 10 blue beads and 25 black beads.
Step-by-step explanation:
I used ratios
question one's ratio is 3:12 and the second one's ratio is 4:10. If you keep that ratio consistent than those are the numbers you get based on the number of beads long she wants her necklace.
that's my best guess
I need help to get to 8.9 I need help to figure out the numbers for the empty boxes.
Answer:
Bottom row from left to right we have 0.4 0.3 0.3 0.1 0.5 0.5 Second row from right to left 0.7 0.6 0.4 0.6 1 On the Third row from right to left 1.3 1 1 1.6 On the Fourth row 2.3 2 2.6 On the Fith row 4.3 and 4.6 The last Row also the highest 8.9
Step-by-step explanation:
you take two numbers right and left add them and put the answer in the box above and in between
Please help with question off algebra nation
Answer:I’m on that same question and I need help to
Step-by-step explanation:
Answer:
Table C is a linear function. Table A is an exponential function. And lastly table B is a quadratic function.
Step-by-step explanation:
I know that table C is linear because it has a constant rate of change the whole entire time.
I know table A is exponential because of the way it drastically increases at the end.
And lastly I know that table B is quadratic because if I were to graph it and keep on placing points, it would make a parabola.
I hope I helped.
2. An advertiser wants to find convincing evidence that television viewers
remember more than 4 commercials, on average, after watching a 30 minute TV
program. They take a random sample of 100 television viewers and ask them
how many commercials they could remember after watching a 30 minute TV
program. The appropriate t-test was conducted, which resulted in a P-value of
0.15. Assuming all conditions were met, which of the following is an appropriate
conclusion?
(A) Because the P-value is less than 0.05, at the 5% significance level, there is not
convincing evidence that television viewers remember more than 4 commercials, on
average, after watching a 30 minute TV program.
(B) Because the P-value is greater than 0.05, at the 5% significance level, there is
convincing evidence that television viewers remember fewer than 4 commercials, on
average, after watching a 30 minute TV program.
(C) Because the P-value is greater than 0.01, at the 1% significance level, there is not
convincing evidence that television viewers remember more than 4 commercials, on
average, after watching a 30 minute TV program.
(D) Because the P-value is greater than 0.01, at the 1% significance level, there is
convincing evidence that television viewers remember exactly 4 commercials, on
average, after watching a 30 minute TV program.
(E) Because the P-value is less than 0.01, at the 1% significance level, there is convincing
evidence that television viewers remember fewer than 4 commercials, on average, after
watching a 30 minute TV program.
Answer:
C
Step-by-step explanation:
What is the volume of the following rectangular prism? 9/5 2/3
Answer:
the answer is 1 1/5
Step-by-step explanation:
what i did was 9/5 times 2/3 which got me 1 1/5
Hope this helpshope this is right ask questionshave a nice dayA square picture frame encloses an area of 29 square inches. Its owner claims that the frame sides are between 5.25 and 5.35 inches long. Is the owner correct? Why or why not?
Side length = ______ inches
Answer:
Side length = 5.3851 inches
Step-by-step explanation:
area for square is given by [tex]side^2[/tex]
here area is given
lets calculate side now
[tex]29 = side^2\\=>\sqrt{29} =side \\=>5.3851[/tex]
Thus, we see length of side is 5.3851 which is greater than 5.35 and does not fall between 5.25 and 5.35.
Hence , owner is not correct.
What is the range of the relation?
[(-4,3), (-4,4), (-3,1), (1,1)]
A)
{-4,-4, -3, 1}
B)
{-4, -3, 1}
C)
{1, 1, 3, 4}
D)
{1, 3, 4}
Find the value of x and y
Answer:
x = 45
y = 20
Step-by-step explanation:
Set the x-variables and y-variables with its corresponding ones, like so:
4x - 35 = 3x + 10
Subtract 3x from both sides:
x - 35 = 10
Add 35 to both sides:
x = 45
Solving for y:
2y - 5 = y + 15
Subtract y from both sides:
y - 5 = 15
Add 5 to both sides:
y = 20
Answer:
By vertically opposite angle
2y-5=y+15
y=20°
4x-35=3x+10
x=45°
Two sides is a triangle have the following measures. Find the range of possible measures for third side.
Answer:
last one
Step-by-step explanation:
the least is 10. so 10 plus one of the number is always greater than the other number. The max is 62. 62 plus any number is greater than the othe
6 < x < 64
Therefore, option b) is correct.
Step-by-step explanation:
Given :
Two sides of the triangle -- 35 , 29
Solution :
Let y, z and x are the sides of the triangle and given that y = 35 and z = 29.
Then ,
y - z < x < y + z
35 - 29 < x < 35 + 29
6 < x < 64
Therefore, option b) is correct.
For more information, refer to the link given below
https://brainly.com/question/2773823?referrer=searchResults
Evaluate (if possible) the six trigonometri
trigonometric functions of the real number t. (If an answer is undefined, enter UNDEFINED.)
t= 4π/3
Answer:
undefined
Step-by-step explanation:
i need help ASAP. you need to be good at fractions.
fill in the missing numbers:
2/3 = _/6 = 12/_ = _/21
[tex]\frac{2}{3}[/tex]
[tex]\frac{4}{6}[/tex]
[tex]\frac{12}{18}[/tex]
[tex]\frac{14}{21}[/tex]
I hope this helps :)
Answer:
2/3= 4/6= 12/18= 14/21
Step-by-step explanation:
2/3= __/6
you know that that denominator doubles because 3*2=6, so what you do to the denominator you have to do to the numerator and vice versa. 2*2= 4 so the answer would be 4/6
To find 12/__
You should know that everything is equal to 2/3 in this equation. To get from 2 to 12 you need to multiply by 6. what you do to the top you have to do to the bottom. 3*6=18
_/21
You times 2/3 by 7 because 3*7=21.
2*7=14
A basketball court is in the shape of a rectangle. It has a length of (x - 7) meters and a width of (x + 3) meters:
(x-7)(x + 3)
Which of the following simplified expressions represents the area of the basketball court in square meters?
-6x + 3
ox2 - 21
ox2 - 4x - 21
ox² - 7x + 3
Answer:
x2 - 4x - 21
Step-by-step explanation:
Area = (x -7 )(x +3)
= x*x - 7*x + x*3 - 7*3
=x2 - 4x - 21
Evaluate the expression below for x = 2, y = –3, and z = –1.
A.
–23
B.
–5
C.
13
D.
27
Correct question:
Evaluate the expression below for x = 2, y = –3, and z = –1.
Given: [tex] x^2 z^2 -y^2(x+z) [/tex]
Options:
A.–23
B.–5
C.13
D.27
Answer:
B. -5
Step-by-step explanation:
In this question we are given the following values:
x = 2
y = -3
z = -1
Given the expression:
[tex] x^2 z^2 -y^2(x+z) [/tex]
To evaluate, let's substitute for 2, -3 & - 1 for x, y & z respectively
Therefore,
[tex] x^2 z^2 -y^2(x+z) [/tex]
Substituting values, we have:
[tex] (2^2) (-1^2) - (-3^2)(2+(-1)) [/tex]
Simplifying, we have:
[tex] [(2^2) (-1^2)] - [(-3^2)(2-1)] [/tex]
[tex]= [(4) (1)] - [(9)(1)] [/tex]
[tex]= 4 - 9[/tex]
= -5
The correct answer is option B
Can I get an example of systems of equations that represent the solution of this situation below? (It doesn't need to be solved.) Thank you! ^ ^
"1 taco and 1 burrito costs $11. 10 tacos and 5 burritos cost $80. How much is the cost of one burrito?" (x = the cost of a taco, and y = the cost of a burrito)
Answer:
x + y = 11
10x + 5y = 80
Step-by-step explanation:
