Answers
Answer:
68°
Step-by-step explanation:
Equations:
To solve for y we have to use the sine rule which is defined as:
[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]
Side a is opposite from angle A, side b is opposite from side B, etc.
Solving for y:
Let's say angle A was the angle we are trying to find. Then we can re-write the sine rule as:
[tex]\frac{sin(y)}{250} =\frac{sin(48)}{200}[/tex]
Let's re-arrange this for the angle y:
[tex]sin(y)=250 * \frac{sin(48)}{200} \\y=sin^-1(250 * \frac{sin48}{200} )[/tex]
Typing this into a calculator gives the answer: [tex]y = 68.26...[/tex] which is 68 degrees rounded to the nearest whole degree.
Related Questions
What is the surface area of the prism?
1.
5 in.
4 in.
5 in
Answers
Answer:
140
Step-by-step explanation:
This trapezoid-based right prism has a volume of 30 cm", What is the area of the base of the prism?
Answers
Answer: the base area of the prism is 6 cm^2
Step-by-step explanation:
Khan Akademy
nadia will survey 50 students in her town to find out what their favorite summertime activity is which group would likeyl give the best representation for her survey
Answers
Answer:
B. 50 students in her school
Step-by-step explanation:
Every other answer is at a seperate place designed to help someone in a specific field, besides the school.
[Easy Points] Kanna Kamui sees 3 snowmen. Then he sees 2 more. How many snowmen did Kanna see in all?
Answers
Answer:
the correct answer is 5 snowmen
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
12, 6, 3, ...
Answers
Answer:
The sequence is geometric
The common ratio is 0.5
Step-by-step explanation:
In the arithmetic sequence, there is a common difference between each two consecutive terms
In the geometric sequence, there is a common ratio between each two consecutive terms
Let us check the given sequence
∵ The first 3 terms are 12, 6, 3
∵ 6 - 12 = -6
∵ 3 - 6 = -3
∵ There is no common difference between the consecutive terms
∴ The sequence is not an arithmetic sequence
∵ 6 ÷ 12 = 0.5
∵ 3 ÷ 6 = 0.5
∴ There is a common ratio between each two consecutive terms
∴ The sequence is a geometric sequence
∴ The common ratio is 0.5
SHOW YOUR WORK. The volume of the cylinder is 235.6 ft cubed. Find the height.
Answers
Answer:
Answer: 3 feet
Step-by-step explanation:
Here's the complete question:
The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.
Note that Volume of a cylinder = πr²h
where Volume = 235.6 feet³
Radius = 5 feet
Height = Unknown
Then, we put the values back into the question and this will be:
V = πr²h
235.6 = 3.14 × 5² × h
235.6 = 3.14 × 25 × h
235.6 = 78.5 × h
h = 235.6 / 78.5
h = 3 feet
The height is 3 feet
Step-by-step explanation:
Are the dotted lines in the shape parallel, perpendicular or intersecting?
Answers
Answer:
Parallel
Step-by-step explanation:
The dotted lines are parallel because they have the same gradient to each other, this means the two dotted lines will never touch each other.
Have a great day <3
Express sin L as a fraction in simplest terms.
Answers
Answer:
8/17
Step-by-step explanation:
first find hypotenuse which is 34
then to get sine it is opposite/hypotenuse
opposite ÷ hypotenuse
16/34
8/17
The SinL as a fraction in the simplest form is 8 / 17.
What is the right-angled triangle?A triangle whose one is 90 degrees is considered a right-angled triangle. Pythagoras' theorem is applied only to the right-angled triangle.
Given:
The side NM = 16,
The side LM = 30,
By using Pythagoras' theorem, we can say that,
NL² = NM² + LM²
Substitute the values of NM and LM,
NL² = 16² + 30²
NL = 34,
For SinL = perpendicular side / hypotenuse side
SinL = NM / NL,
SinL = 16 / 34 or 8 / 17
Therefore, the SinL as a fraction in the simplest form is 8 / 17.
To know more about the right-angled triangle:
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Find x and y, when AB and MN are similar
Please I need your help quickly
Answers
Answer:
x is 5 but sorry I can't Find the value of y
Answer:
y=3
x=5
Step-by-step explanation:
it's similar so CN =NB
that means y=3
so MN=AB
x=5
The diagram gives information about two paintings, P and Q.
Each painting is in the shape of a rectangle.
Painting P has an area 1400 cm more than the area of painting Q.
Work out the area of painting P.
Answers
Answer: 2600 cm^2
Step-by-step explanation:
FORMULA
Painting P area = Painting Q area + 1400
so...
40(3x-10) = 30(x+15) + 1400
EXPAND EXPAND
120x - 400 = 30x + 450 + 1400
SIMPLIFY
120x-400 = 30x + 1850
+400 +400
120x = 30x + 2250
- 30x - 30x
90x = 2250
DIVIDE BY 90 DIVIDE BY 90
x = 25
SO... Now we have to find the AREA of PAINTING P
LENGTH: (3x - 10)= 3(25) - 10 = 65cm
HEIGHT: 40cm
AREA OF PAINTING P = 65cm X 40cm = 2600cm^2
By solving a system of equations, we will see that the area of painting P is 2,600 cm^2
How to get the area of painting P?Remember that the area of a rectangle of length L and width W is:
A = L*W
Then the area of painting P is:
A = 40cm*(3x - 10)cm
The area of paint Q is:
A' = (30 cm)*(x + 15)cm
And que know that:
A = A' + 1400cm^2
Then we havea system of equations:
A = A' + 1400cm^2
A = 40cm*(3x - 10)cm
A' = (30 cm)*(x + 15)cm
First, we can replace the third equation into the first one to get:
A = (30 cm)*(x + 15)cm + 1400cm^2
And that must be equal to:
A = 40cm*(3x - 10)cm
So now we can solve:
40cm*(3x - 10)cm = (30 cm)*(x + 15)cm + 1400cm^2
for x.
It gives:
120cm*x - 400cm^2 = 30cm*x + 1850 cm^2
120cm*x - 30cm*x = 1850cm^2 + 400cm2
x = (2250cm^2)/(90cm) = 25cm
Now that we know x, we can get the area of painting P.
A = 40cm*(3*25cm - 10cm) = 2,600cm^2
If you want to learn more about systems of equations, you can read:
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A bus is traveling at a constant speed. If the bus travels 15miles in
of an hour, how many miles will the bus travel in one
Answers
Answer:
15 miles
Step-by-step explanation:
If the bus is travelling at a constant speed of 15 miles per hour, then in 1 hour, the bus would have travelled 15 miles.
The Movie Haven is planning to order new medium-size popcorn containers. It has a choice of four different containers. It costs the company $0.02 per cubic inch of popcorn to fill a container. The company does not want the new container to cost more than $3.00 to fill. Which container should the company use? Use 3.14 for Pi.
Container A
A cylinder with height 5 inches and diameter 7 inches.
Container B
A cylinder with height 6 inches and radius 3 inches.
Container C
A cylinder with height 12 inches and B = 11.14 inches squared.
Container D
A cylinder with height 10 inches and diameter 6 inches.
container A
container B
container C
container D
Answers
Answer:
only option less than $3 is (C)
Step-by-step explanation:
Volume(cylinder) = πr²h or Bh
I used the guess-and-check method and got the following:
A) 3.85
B) 3.39
C) 2.67
D) 5.65
A 2-gallon jug of juice costs $10.88. What is the price per cup?
Answers
Answer:
it's ¢.34
Step-by-step explanation:
a gallon has 16 cups
since there are two gallons that's 32
the price of the two gallons divided my 32 is how much each cup would be so 10.88/32 would be ¢.34
Calcule: a) ( - 7 ) . ( + 3 ) . ( - 2 ) * 1 ponto + 42 - 12 - 42 b) - 4 . ( + 3 - 2 + 5 ) * 1 ponto - 12 - 24 + 24
Answers
Answer:
a) 42
b) -24
Step-by-step explanation:
Recordar las reglas de los signos:
(-)*(-) = (+)
(+)*(-) = (-)
(-)*(+) = (-)
(+)*(+) = (+)
Tambien la propiedad distributiva:
A*(B + C + D) = A*B + A*C + A*D
Queremos calcular:
a) (-7)*(+3)*(-2)
Los primeros dos terminos dan:
-(7*3)*(-2) = -(21)*(-2) = (-21)*(-2) = +(21*2) = +42
b) -4*( + 3 - 2 + 5)
= (-4)*(3) + (-4)*(-2) + (-4)*(5)
= - 12 + 8 - 20 = 8 - 32 = -24
Find the inverse of f(x) = -4x - 12
Answers
Answer:
[tex]\implies f^{-1}(x) =-\dfrac{x}{4}-3 [/tex]
Step-by-step explanation:
Given :-
f(x) = -4x-12And we need to find out the Inverse of the function . Let us assume that f(x) = y . Now , firstly replace x with y and vice versa.
Function :-
[tex]\implies f(x) = -4x - 12 \\\\\implies y = -4x-12 [/tex]
Interchanging x and y :-
[tex]\implies x = -4y - 12 [/tex]
Solve out for y :-
[tex]\implies x = -4y - 12 \\\\\implies -4y = x +12 \\\\\implies y =\dfrac{x+12}{-4}\\\\\implies y =-\dfrac{x}{4}-3 [/tex]
Replace y with f-¹(x) :-
[tex]\implies f^{-1}(x) =-\dfrac{x}{4}-3 [/tex]
Hence the inverse of the function is -x/4-3 .
A survey was conducted to find the possible relationship between gender and the color of the car the person owns. The data is represented in the
frequency table shown.
Blue
Total
Red
53
Male
Female
Total
25
75
Black
72
45
117
30
83
150
150
300
100
What percentage of the people surveyed were females who own a blue car?
Answers
Answer:
25 %
Step-by-step explanation:
What’s the answer and how do you figure these out?
Answers
A marine biologist compared two large pools that could be used for a new dolphin training arena. Pool A held 2 x 10¹⁰ gallons, and pool B held 2 x 10⁸ gallons. How many times more gallons will the larger pool hold than the smaller pool?
O4
O 20
O 100
O 200
Answers
Answer:
20
Step-by-step explanation:
2 x 10 = 20
divided by 4 = 5
The larger pool will hold is 100 times more gallons than the smaller pool
What is capacity and measurement?From the question, we are to determine how many times more gallons the larger pool holds than the smaller pool
From the given information,
Capacity of the larger pool = 2 × 10¹⁰ gallons
Capacity of the smaller pool = 2 × 10⁸ gallons
To determine how many times more gallons the larger pool holds more than the smaller pool, we will simply divide the capacity of the larger pool by the capacity of the smaller pool
That is,
[tex]\frac{2 \times 10^{10} }{2 \times 10^{8}}[/tex]
= 10²
= 100
Hence, the larger pool will hold is 100 times more gallons than the smaller pool.
Learn more on Capacity here: https://brainly.com/question/7598008
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Find the inverse function.
x - 3
f(x) =
+ 2
5
f-1(x) = [ ? ]x + [ ]
Answers
Steps
Solve for the inverse function of
f(x)=((x-3)/5)+2
First one should replace the variables so
that f(x)=((x-3)/5)+2 becomes:
x=((y-3)/5)+2 (this isn’t necessary, it just makes it easier for those to remember the variable they are looking for when first learning about inverses) —> regardless, we are searching for y.
So doing regular algebra, we get:
x=((y-3)/5)+2
x-2=((y-3)/5)
5(x-2)=y-3
5(x-2)+3=y
Thus, the inverse: f(x)^-1 = 5x-7
Paul is 8 years older than Julie Julie is half as old as Paul how old is Julie
Answers
Answer:
Julie is 4
Step-by-step explanation:
First you need to do 8 divided by 2 because she is half as old.
Answer:
Paul is 16 years old.
Julie is 8 years old.
Step-by-step explanation:
If Julie is 8 years old and Paul is 16 yearss old, this makes Julie half as old as Paul but also makes Paul 8 years older than Julie.
ASAP PLEASE HELP AND EXPLAIN!!!!!!!!
Answers
Please help me with this i didn’t get the answer
Answers
Below is pic of my workings
PLS ANSWER ASAP ILL MARK BRAINLIEST
Answers
Answer:
4
Step-by-step explanation:
g=4
that means
16/g= 16/4
16/4=4
help me plz I will give 20 point
Answers
Answer:
1) If we have a point (x, y), the angle between the x-axis and a ray that goes from the origin to the point is defined by:
cos(θ) = x/(√(x^2 + y^2))
sin(θ) = y/(√(x^2 + y^2))
Then for the point:
(√(7)/4 , 3/4)
x = √(7)/4
y = 3/4
√(x^2 + y^2) = √((√(7)/4)^2 + ( 3/4)^2) = (1/4)*√(7 + 9) = 1
Then replacing these values in the above equations for the cosine and sine functions, we get:
cos(θ) = x/(√(x^2 + y^2)) = (√(7)/4)/1 = √(7)/4
sin(θ) = y/(√(x^2 + y^2)) = (3/4)/1 = 3/4
2) To find the period, we just need to find the distance between two peaks, or two x-intersects (such that the slope is the same).
Let's look at the graph.
We can see that at x = 0, the graph intersects the x-axis and increases
The next point where this happens is at x = π/3
Then the period of this function is:
P = π/3 - 0 = π/3
The period is π/3
Eli is driving at a speed of 52 miles per hour. Let h represent the number of hours that Eli drives at this speed. Enter an algebraic expression to represent the number of miles that Eli travels during this time.
HURRY PLS HELP THIS IS TIMED
Answers
Answer:
52h
Step-by-step explanation:
I'll put my explanation later for your timer
vertex of the graph of x^2 + 8x + 12=0
Answers
Answer:
Step-by-step explanation:
Hope this helps u!!
Que
Use the order of operations to simplify 4(3.5 – 1.5) - .
O A. 12
O B. 7 7 7
O C. 192
D. -4
Answers
Answer:
A. 12
I think so.....
Answer:
7.5
Step-by-step explanation:
4*3.5 = 14
4*-1.5 = -6
14 + -6 = 8
8-1/2 = 7.5
Question Is Incomplete
Find the values of x and y. Write your answers in simplest form.
Answers
Answer:
To find X you'll need this formula Tan 30, and this one to find y cos 30.
Step-by-step explanation:
tan 30 = 9 / x.
tan 30*x = 9
x = 9 / tan 30
x = 15.58
To find y, the value of X will be needed, which is 15.5 that we just found.
Cos= A/H
Cos 30 = 15.58/ y
Cos 30 * y = 15.58
y = 15.58/ cos 20
y = 17.99
PLEASE HELP!!!!!! In which week was the rainfall in Portland the highest and how much fell?
weekly rainfall bar graph
Week 3, 800 cm
Week 4, 1400 cm
Week 4, 1200 cm
Week 3 900 cm
Answers
Answer:
Week 4, 1400
Brainliest plz
Step-by-step explanation:
Answer:
Week 3 and 900 cm
Step-by-step explanation:
Brainliest Please!
Factorise fully 12x^3-4x^2
Answers
Answer:
4x² (3x - 1)
Step-by-step explanation:
12x³ - 4x²
4x² (3x - 1)