Answer:
[tex]\Huge\boxed{x=50.3}[/tex]
Step-by-step explanation:
Hello There!
Once again here are the Trigonometric Ratios
Sin = opposite divided by hypotenuse
Cos = adjacent divided by hypotenuse
Tan = opposite divided by adjacent
We need to find the measure of angle O
We are given the opposite side length (89) and the adjacent side length (74)
This corresponds with tangent so we are going to use tangent to solve for x
Now we create an equation: (remember tangent = opposite divided by adjacent)
[tex]tan(x)=\frac{89}{74} \\\frac{89}{74} =1.202702703\\[/tex]
now we have
[tex]tan(x)=1.202702703[/tex]
once again we want to isolate the variable (x)
To do so we need to get rid of tan by taking the inverse of tan (arctan^-1) and applying that to each side
[tex]arctan^-^1(tan(x))=x\\arctan^-^1(1.202702703)=50.25780917[/tex]
finally we want to round to the nearest tenth
50.25
its a five so we raise the 2 to a 3
and we're left with
x = 50.3
The Pizza Barn sells one customer 3 large pepperoni pizzas and 2 orders of breadsticks for $30. They sell another customer 4 large pepperoni pizzas and 3 orders of breadsticks for $41. How much does the Pizza Barn charge for each pepperoni pizza and each order of breadsticks
Answer:
Pizzas: $8, Breadsticks: $3
Step-by-step explanation:
1. Write an equation.
Let the variables p = price of pizzas, and b = price of breadsticks
The equation: 3p + 2b = $30 for the first customer. The equation: 4p + 3b = $41 for the other customer.
2. Use the Elimination Method.
(4p+3b=41) x3 = 12p+9b=123
- (3p+2b=30) x4 = 12p+8b = 120
------------------------------------------------
8b = 3
Pizzas: $8
Breadsticks: $3
Which set of three numbers can be used to make a right triangle?
Group of answer choices
4, 5, 6
3, 4, 5
5, 6, 7
Answer:
3, 4, 5
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]3^{2} + 4^{2} = 5^{2}[/tex]
9+16=25
25=25
What is the slope of the line that contains the points (-2, 5) and (6, -3)?
-1
Step-by-step explanation:
slope (m)= y2- y1/ x2-x1
m= -3-5/ 6+2
m= -8/8
m= -1
give me brainliest plss
Distribute and evaluating
(X + 6) (x - 3)
Answer:
x^2+3x-18
Step-by-step explanation: hoped I helped
Answer: [tex]x^{2} +3x-18[/tex]
Step-by-step explanation:
First, let's take our given (x+6)(x-3)
Now distribute
[tex]x^{2} -3x+6x-18\\combine\\x^{2} +3x-18[/tex]
Pamela's parakeet is currently in a rectangular bird cage that has a length of 3 feet, a width of 2 feet, and a height of 3 feet. Since the parakeet has gotten larger, Pamela is looking to buy a new rectangular bird cage. She wants the new cage to have a volume that is 4 times the volume of the parakeet's current cage. If Pamela wants to keep the length of the new cage the same, how must the other dimensions change?
Answer:
The volume of existing cage = length x widht x height = 3 x 2 x 3 = 18 cubic ft
Now she wants cage with volume four times of this cage
New Volume = V1 = 18 x 4 = 72 cubic ft
Keeping length same = 3 ft
Length x width x height = V1
3 x Width x height = 72
Width x height = 72 /3
Width x height = 24
Now multiple of 24 must be the width and height.
Taking width = 6 ft and height = 4 ft, we will get our answer
Proof:
Length x width x height = V1
3 x 6 x 4 = 72
Please help me find the value of x
Answer:
7
Step-by-step explanation:
[tex](tangent)^{2}[/tex] = AC × CB
[tex]12^{2}[/tex] = ( x + 9 ) 9
144 = 9x + 81
9x = 144 - 81
9x = 63
x = 63 ÷ 9
x = 7
Solve for the missing arcs
Answer:
Step-by-step explanation:
arc KL = 60°
arc LNK = 360° - 60°
arc NJK = 180°
angle JQN = 60°
arc JN = 60°
arc JM = 60°+55° = 115°
arc MN = 55°
arc MKN = 360° - 55° = 305°
arc JML = 180°
angle MQL = 180° - 55° - 60° = 65°
arc ML = 65°
arc LN = 55° + 65° = 120°
The equation y = 25x can be used to predict the height in feet, y, of the elevator after
1 seconds.
Find the height of the elevator when the time is 0 seconds.
Time (s), «
0 5 10 15
Height (ft), y
Answer:
y = 0 feet
Step-by-step explanation:
Given equation:
y = 25x
Where,
y = height (feet)
x = time (seconds)
25 = constant
Find the height of the elevator when the time is 0 seconds
y = 25x
y = 25(0)
y = 0 feet
Solve: 7x = 6x -9
plsss
Answer:
x = -9
Step-by-step explanation:
Hey i need help with this question. I need it to be solved and I need to see the length of the diagonal. Please put a proper answer or Branly will just take the points away from you. Thanks
Answer:
x = 40.25 mStep-by-step explanation:
Use Pythagorean
x² = 36² + 18² x² = 1620x = √1620x = 40.25 mAnswer:
in right angled triangle BCD
by using Pythagoras law
P²+B²=H²
A²+B²=C²
36²+18²=x²
x=√1620=18√5m
x=18√5 m is your answer
What is the value of x? please help
Which term has the definition "A conclusion based on evidence"?
a. Data
b. Bias
c. Inference
d. Sample
Answer:
The answer would be C. Inference
slope =-3, goes through the point (1, 2)
Which product is greater than 3/5
Look at the picture ☺️
Pls answer ASAP✨
Answer:
C. 3/5*5/3
Step-by-step explanation:
because you multiply across and get:
3 5 15
_ * _ = _
5 3 15
Which is 1 whole
I hope this helps!!!
9 ( x + 4 ) = 63
Solving 2 step equations
Answer:
The answers is x=3
Step-by-step explanation:
Divide both sides by the numeric factor on the left side then solve.
Hope this helps.
May i please have a brainless Thank you.
Four baby socks can be made from 1/3 skein of yarn. How many baby socks can be made from a whole skein?
Answer:
12
Step-by-step explanation
4x3=12
Answer:
1-1/3=0.66666666....….
0.67*4= 2.68
Is - 51/2 rational or irrational? Explain your reasoning.
Answer:
Step-by-step explanation:
It's rational because it doesn't have a continuous decimal. -51/2 is -25.5
Answer:
I believe it is ration since a rational number is any interger, fraction, or repeating decimal.
Step-by-step explanation:
Compare the rules of two games.
Game A: Two six-sided dice are thrown. The numbers on the dice determine which player gets a point.
Player 1 gets a point if the product of the numbers on the dice is even. Player 2 gets a point if the
product is odd.
Game B: Two six-sided dice are thrown. The numbers on the dice determine which player gets a point.
Player 1 gets a point if the sum of the numbers on the dice is even. Player 2 gets a point if the sum is
odd.
Which statement accurately describes whether these games are fair?
Answer: neither Game A nor Game B is fair
Step-by-step explanation:
Answer:
Game A is not fair, and game B is fair.
Step-by-step explanation:
i took the iready tesyt
Find the equation of a line that have the same slope as Y= 6-3x and the same Y intercept as Y=-7X -10
Help 5L
Answer:
y = -3x -10
Step-by-step explanation:
8.12394 rational or irrational
Answer:
rational
Step-by-step explanation:
if it does not terminate nor become periotic it is irrational other wise it is rational
WILL GIVE BRAINLIEST, PLEASE HELP! Given the foci and vertices of an ellipse, complete the following steps.
Answer:
a) The location of the center of the ellipse is [tex](4,-6)[/tex]. It is determine by knowing the location of foci and Midpoint formula.
b) The standard equation of the ellipse is [tex]\frac{(x-4)^{2}}{31}+\frac{(y+6)^{2}}{81} = 1[/tex].
c) Major semiaxis ([tex]a[/tex]): [tex]a = 9[/tex], Minor semiaxis ([tex]b[/tex]): [tex]b = \sqrt{31}[/tex]
Step-by-step explanation:
a) Foci are located in the major axis of the ellipse, given the locations of ends of the major axis and locations of the foci. We can determine the location of the center of the ellipse by Midpoint formula:
[tex](h,k) = \frac{1}{2}\cdot F_{1}(x,y) + \frac{1}{2}\cdot F_{2} (x,y)[/tex] (1)
Where [tex]F_{1} (x,y)[/tex] and [tex]F_{2} (x,y)[/tex] are the locations of the foci.
If we know that [tex]F_{1}(x,y) = (4, -6-5\sqrt{2})[/tex] and [tex]F_{2} (x,y) = (4,-6+5\sqrt{2})[/tex], then the location of the center of the ellipse is:
[tex](h,k) = (4, -6)[/tex]
The location of the center of the ellipse is [tex](4,-6)[/tex]. It is determine by knowing the location of foci and Midpoint formula.
b) Now we need to determine the length of each semiaxis:
Major semiaxis ([tex]a[/tex])
[tex]a = \sqrt{[V_{2}(x,y)-(h,k)]\,\bullet\,[V_{2}(x,y)-(h,k)]}[/tex] (2)
[tex]V_{2}(x,y)-(h,k) = (4,3)-(4,-6)[/tex]
[tex]V_{2}(x,y) - (h,k) = (0, 9)[/tex]
[tex]a = 9[/tex]
Please notice that [tex]V_{2}(x,y)[/tex] is one of the vertices of the ellipse in the major axis.
Distance between focus and center ([tex]c[/tex])
[tex]c = \sqrt{[F_{2}(x,y)-(h,k)]\,\bullet\,[F_{2}(x,y)-(h,k)]}[/tex]
[tex]F_{2}(x,y) -(h,k) = (4-4,-6+5\sqrt{2}+6)[/tex]
[tex]F_{2}(x,y) - (h,k) = (0, 5\sqrt{2})[/tex]
[tex]c = 5\sqrt{2}[/tex]
Minor semiaxis ([tex]b[/tex])
[tex]c^{2} = a^{2}-b^{2}[/tex] (3)
[tex]b = \sqrt{a^{2}-c^{2}}[/tex]
If we know that [tex]a = 9[/tex] and [tex]c = 5\sqrt{2}[/tex], then the length of the minor semiaxis is:
[tex]b = \sqrt{31}[/tex]
In this case, the standard equation of the ellipse is defined by this formula:
[tex]\frac{(x-h)^{2}}{b^{2}}+\frac{(y-k)^{2}}{a^{2}} = 1[/tex]
If we know that [tex]a = 9[/tex], [tex]b = \sqrt{31}[/tex] and [tex](h,k) = (4, -6)[/tex], then the standard equation of the ellipse is:
[tex]\frac{(x-4)^{2}}{31}+\frac{(y+6)^{2}}{81} = 1[/tex]
The standard equation of the ellipse is [tex]\frac{(x-4)^{2}}{31}+\frac{(y+6)^{2}}{81} = 1[/tex].
c) The lengths of the axes are, respectively:
Major semiaxis ([tex]a[/tex]): [tex]a = 9[/tex]
Minor semiaxis ([tex]b[/tex]): [tex]b = \sqrt{31}[/tex]
Answer:
a) The location of the center of the ellipse is . It is determine by knowing the location of foci and Midpoint formula.
b) The standard equation of the ellipse is .
c) Major semiaxis (): , Minor semiaxis ():
Step-by-step explanation:
Part A: The club has learned from experience over the years that when they do not charge an admission fee, attendance is 800 people.For every dollar charged in admission the
attendance drops by 8 people. Write an inequality that can be used to find the price p in dollars that the club should charge so that at least 750 people will attend
Festival
Answer:
750
Step-by-step explanation:
800 - 8p = 750
Please help me i have a hw
Answer:
1.B 2.H 3. A
Step-by-step explanation:
1. First, find out the percentage of people who voted for Mathematika in survey one.
The total amount of people who voted is 14+17+19, which equals 50. 17/50 people voted for Mathematika, 17/50 = 0.34.
To find out how many people out of 300 will vote for Mathematika, multiply the 0.34 by 300. 300 x 0.34 = 102, so 102 people will vote for Mathetika.
2. You use the same logic for number 2. 14+17+19+20+19+11 = 100, so 100 people voted in total. 34 people voted for Infinitus. 34/100 = 0.34. Multiply 0.34 by 750 to get 255 people will vote for Infinitus.
3. The mean = the average. To find the average, add up all of the numbers, then divide that number by the amount of numbers added together.
7+9+11+13+15 = 55
5 numbers were added together so you divide 55 by 5
55/5 = 11. The mean is 11
9+10+11+12+13 = 55
There were 5 numbers added together
55/5 = 11. Both the means were the same
A diver went 24 feet below the surface of the ocean, and then 47 feet down. What is the diver's new position relative to the surface?
Write an expression to represent the problem, and solve.
Answer:
71 feet below the water.
Step-by-step explanation:
x=the divers position relative to the surface
when x=0, the diver is at the surface.
when x=-24, the diver is 24 feet below the surface, therefore -24-47=-71.
Which of the following is an example of simple harmonic motion?
A. The motion of a rotating beacon
B. A ball bouncing on a sidewalk
C. Calculating the angle of elevation for a building
D. A police car shining a spotlight into buildings as it drives by
Answer:
The motion of a rotating beacon.
Step-by-step explanation:
A football team took possession of the ball on the 50 yard line. They lost 5 yards on the first down, and lost another 6 yards on the play. What yard line does the team hike the ball on the third down of their possession?
Answer: The answer should be 39 yard line
Step-by-step explanation: If you start at the 50 and remove 11 yards you will have 39 yards left
PLEASE HELP
WORTH 30 PTS!!
Choose the step that shows where a mistake is made (if there is one).
-2(x + 4) + 4x = 16
Step 1 -2x + 8 + 4x = 16
Step 2 2x + 8 = 16
Step 3 2x = 8
Step 4 x = 4
a Step 1
b Step 2
c Step 3
d Step 4
e No mistakes were made. The steps are correct and the answer is x = 4.
Answer:
The mistake is in step 1 when you do -2(x+4) you do the distributive property first -2 times x is -2x that's correct but -2 times 4 is not 8 it is -8
when you multiply by negatives the answer will always be a negative unless your multiply 2 negative number together then itll be positive ex. 4 × -4 = -16 (negative) but -4 × -4 = 16 (positive)
Please help. Find the area of the composite figure
Okay so multiple 17 times 8 and 16 times 33 and then add the answers together and you should get 664!
Step-by-step explanation:
here's your solution
=> Firstly divide above picture in two parts
=> 1st = traingle
=> 2nd = trapezium
=> area of traingle = 1/2*base*height
=> height = 8
=> we need to find out base by using Pythagoras formula
=> base^2 = 17^2 - 8^2
=> base^2 = 289 - 64 = 225
=> base = √225
=> base of traingle = 15
=> now, area of traingle = 1/2*15*8
=>60sq.units
=> area of trapezium = 1/2(sum of p. sides ) *
distance between them
=> area = 1/2*(33 + 15)*16
=> area = 1/2*16*48
=> area = 384sq.units
=> area of whole figure = 384 + 60
= 444 sq.units
Help me again??????????????
Answer:
Part A is no because after subtracting it is 6/10 and 6/10 is not equal to 1/2
Step-by-step explanation:
First you make the fraction's denominator equal
2/5 = 4/10
Camen's water bottle is 1 8/10
Jorge's water bottle is 2 4/10
1/2 = 5/10
Make the fractions into a improper fraction
Camen's is 18/10
Jorge's is 24/10
subtract it
24 - 18 = 6
So Part A is no because after subtracting it is 6/10 and 6/10 is not equal to 1/2
What is the measure of an angle that is the complement of angle K?
Answer:
Sum of complementary angles is 90
90-25=65°
Step-by-step explanation: