Answers
Answer:
x = 4.52984
Step-by-step explanation:
Since the triangle has a right angle you need to use the the trigonometric function cos (theta which is the angle given that isn't 90°) = adjacent / hypotenuse (adjacent is the side close to the angle you're using which is 22° and the hypotenuse is the longest side of the triangle that is in the away from the right angle)
From there you plug in the numbers which now become cos (22°) = 4.2 / x
Then you isolate the x by multiplying it to both sides so it's on the left and divide both sides by cos (22°) which will end you up x = 4.2 / cos (22°)
Then you just divide and you 4.52984
Related Questions
If i = -1, then i^2 =
Answers
Answer:
1
Step-by-step explanation:
The exponent is the number of times you multiply the base aka i in this case.
i = -1
Substitute -1 for i.
-1^2
-1 x -1 = 1
because when you multiply two negatives they make a positive.
mark me brainliest : )
help me pleaseeeeeeeeee
Answers
Answer:
C) [tex]45^{\circ}[/tex]
Step-by-step explanation:
There are 2 pi radians in 360 degrees:
[tex]\frac{17\pi}{4}rad \cdot\frac{360^{\circ}}{2\pi{rad}}=765^{\circ}=45^{\circ}[/tex]
Answer: I think it 45°
Explanation:360-315=45
Calculate the circumference of the following circles. Give your answers to 1 decimal place.
Answers
Answer:
a) 31.4 cm b) 22.0 cm c) 9.4 mm d) 18.8 m e) 1.6 m f) 28.3 cm g) 78.5 cm h) 9.7 m
Step-by-step explanation:
All it really is multiply the diameter which is the straight line through the center of the circle
C = d × \pi
The circumference of the circles is A. 31.4 cm, B. 22cm approx,
C. 9.4 mm, D. 18.88 m, E. 1.6 m, F. 28.3 cm, G. 78.5 cm, H. 4.1 m.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the center.
Given circles,
circumference of circle is 2πr in form of diameter = πd
where d is diameter,
A. given d = 10 cm
circumference = c = πd
c = 3.14 x 10
c = 31.4 cm
B. given, d = 7 cm
c= πd
c = 3.14 x 7
c = 21.98 cm = 22 cm approx
C.given, d= 3 mm
c = πd
c = 3.14 x 3
c = 9.4 mm
D. given d = 6 m
c = πd
c = 3.14 x 6
c = 18.8 m
E. given c = 0.5 m
c = πd
c = 3.14 x 0.5
c = 1.6 m
F. given d = 9 cm
c = πd
c = 3.14 x 9
c = 28.3 cm
G. given d = 25 cm
c = πd
c = 3.14 x 25
c = 78.5 cm
H. given d = 1.3 m
c = πd
c = 3.14 x 1.3
c = 4.1 m
Hence the circumference is as follows.
Learn more about circles;
https://brainly.com/question/29142813
#SPJ5
The length of the day in Lagos, Nigeria (in minutes), ttt days since the beginning of the year can be estimated by this formula: \qquad L(t) = 727+22\sin \left(\dfrac{2\pi (t - 80.75)}{365}\right)L(t)=727+22sin( 365 2π(t−80.75) )L, left parenthesis, t, right parenthesis, equals, 727, plus, 22, sine, left parenthesis, start fraction, 2, pi, left parenthesis, t, minus, 80, point, 75, right parenthesis, divided by, 365, end fraction, right parenthesis. When is the longest day of the year? Give an exact answer.
Answers
Answer:
The longest day of the year is day 172
Step-by-step explanation:
Since the length of day is L(t)=727+22sin[2π(t−80.75)/365], the maximum length of day is obtained when sin[2π(t−80.75)/365] is at its maximum value which is 1. So. sin[2π(t−80.75)/365] = 1
We now solve this to find the day at which this maximum value occurs.
sin[2π(t−80.75)/365] = 1
[2π(t−80.75)/365] = sin⁻¹(1)
[2π(t−80.75)/365] = π/2
dividing both sides by 2π/365, we have
[2π(t−80.75)/365] ÷ 2π/365 = π/2 ÷ 2π/365
t−80.75 = 365/4
t−80.75 = 91.25
t = 91.25 + 80.75
t = 172
The longest day of the year is day 172
Answer:
172
Step-by-step explanation:
Keep in mind, that when graphed one of the "tallest" points is 172,749. Using this, you'll find that 172 is the tallest
1. Analyze the question below. What is the slope of the line?
y = 10
A. m = -10/1
B. m = -100/10
C. m = 10
D. m = All of the Above
2. What is the slope of the line?
y = -9/3x
A. m = -9/3
B. m = -3
C. m = -9/-3
D. m = All of the Above
3. What is the slope of the line?
y = -9x
A. m = -9/1
B. m = -9/-1
C. m = -9
D. All of the Above
4. What is the slope of the line?
7x = y
A. m = -7/1
B. m = 7
C. m = 1/7
D. All of the above
5. How do I find a slope on the linear graph in simplest form?
Answers
1.c
2.a
3.b
4.b
5. not enough points for me to answer
Answer:
1.c
2.a
3.b
4.b
5. not enough points for me to answer
Step-by-step explanation:
1.c
2.a
3.b
4.b
5. not enough points for me to answer
Maria would like to leave a tip (D) of at least 15% of her total dinner bill (3). Which inequality could Maria use to calculate the possible amounts she could leave as a tip?
OT ≥0.15B
O T > 0.15B
O T ≤ 0.15B
OT < 0.15B
Answers
An
Step-by-step explanation:
PLZ HELP!!
f(x) = x2 is graphed in red. Which of the following
functions is graphed to the left in purple?
O f(x) = -(x + 3) 2 - 2
Of(x) = (x – 3)2 +2
O f(x) = - ] (x+3)2 - 2
O f(x) = (x – 3)2 – 2
10
Answers
9514 1404 393
Answer:
f(x) = -1/4(x +3)² -2
Step-by-step explanation:
The graph is shifted left 3 and down 2. It is also reflected over the x-axis and vertically compressed. The leading coefficient will be a negative fraction, and the offsets will replace x with x+3, and will add -2 to the scaled function.
The result is shown below.
Use a positive or negative number to represent a stock market loss of $1,500.
Answers
Answer:
negative
Step-by-step explanation:
negative because you are losing something
Hello Guys it’s FreeGiftCardCodes I’ll be posting PS4 Xbox apple And Nintendo switch Gift cards ILL send a 2 when I get to 5 followers so add me if you want one And thank me also
Answers
Answer:
alright bet
Step-by-step explanation: ayyyeeeee
Answer:
Alright bro I will add you and thank you
Step-by-step explanation:
Which of the following statements must be true about this diagram? check all that apply.
Answers
Answer:
F & B
Step-by-step explanation:
Answer:
C, D, E
Step-by-step explanation:
Remote angles theorem; when one side of a triangle is extended, the angle formed must equal the sum of the two angles in the triangle, that it isn't adjacent to.
C. (m<4) > (m<1), this has to be true because of remote angles theorem.
(m<4) must be greater than (m<1) because it is equal to (m<1) + (m<2)
D. (m<4) > (m<2), apply the same logic here, as was applied to the first problem.
E. (m<1) + (m<2) = (m<4), this is essentially remote angles theorem.
find 150 of 28 by writing the percent as a decimal
Answers
Answer:
28 / 150 = 18.666666666667%
Step-by-step explanation:
28 / 150 = 18.666666666667%
4.45 / 100 = 4.45%
143 / 165 = 86.666666666667%
127,998 / 1,609,008 = 7.955087855374%
How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions
Answers
Answer:
D, ininitely many
Step-by-step explanation:
A- incorrect since the lines intersect
B - incorrect since the lines intersect at more than one point
C - incorrect since the lines intersect at more than 2 points
D- correct since the lines intersect at infinitely many points (since they're the same line)
Answer:
D) infinitely many solutions
Step-by-step explanation:
we can see that the graphs shows two lines that are exactly one on top of the other. This means that every point on either line will also coincide with a point on the other line.
Because of this, every point on one line is also a solution on the other line, thus there are infinitely many solutions.
The bus drives 66 km at an average speed of 24 km/h. How long does the journey take?
Answers
Answer:
2.75 hours
Step-by-step explanation:
Speed is 24km per hour ([tex]\frac{24km}{1hour}[/tex]), and the bus covered 66km.
We need to get a value of km with the rate (24/1) and distance (66) given.
We get: [tex]\frac{1hour}{24km} *66km[/tex].
The km cancel out, leaving us with 66/24 hours, or 2.75 hours.
what do you think of france
Answers
Answer:
Baguette is very important
Step-by-step explanation:
they don't have bidet but baguette
Answer:
honestly i think its a pretty country, its pretty nice and wish i could go.
Step-by-step explanation:
I dont understand this at all. I really need help!
Answers
Hello!
[tex]\large\boxed{x^{4}}[/tex]
Recall that:
[tex]\sqrt[z]{x^{y} }[/tex] is equal to [tex]x^{\frac{y}{z} }[/tex]. Therefore:
[tex]\sqrt[3]{x^{2} } = x^{\frac{2}{3} }[/tex]
There is also an exponent of '6' outside. According to exponential properties, when an exponent is within an exponent, you multiply them together. Therefore:
[tex](x^{\frac{2}{3} })^{6} = x^{\frac{2}{3}* 6 } = x^{\frac{12}{3} } = x^{4}[/tex]
a bolt has 6 1/2 turns per inch how many turns would be in 2 1/2 inches of threads
Answers
Answer:
famwfklawf'ajnkpfjnflasjfajlkfjlk/ajkljkljklasjkfjkajkjkfajkfjkj/fj/fsklafnwklasj'fawJFAKLfajfl;ajfafjafafafafaf
Step-by-step explanation:
Please hurry I am being timed!
The three angles of a triangle have equal measures. The sum of their measures is 180º. What is the measure of each angle?
A. 45º
B. 30º
C. 60º
D. 55º
Please select the best answer from the choices provided
Sorry if this is easy for you I'm bad at math
Answers
In the metric system, which prefix would you use for "1/100"?
A. Kilo-
B. Milli-
C. Centi-
O D. Hecto-
Answers
Answer:
C
Step-by-step explanation:
Centi means 1/100.
Answer: C. Centi-
Step-by-step explanation:
It comes from Latin. You can remember that 0ne Cent is 1/100 of a dollar.
What is the equation to find d
Answers
f(x)= x^2 + 10f(x)=x
2
+10f, left parenthesis, x, right parenthesis, equals, x, squared, plus, 10
Over which interval does fff have a positive average rate of change?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
[-3,3][−3,3]open bracket, minus, 3, comma, 3, close bracket
(Choice B)
B
[-4,-1][−4,−1]open bracket, minus, 4, comma, minus, 1, close bracket
(Choice C)
C
[-3,1][−3,1]open bracket, minus, 3, comma, 1, close bracket
(Choice D)
D
[-1,2][−1,2]
Answers
Answer:
The option D represents an interval with a positive average rate of change.
Step-by-step explanation:
Let [tex]f(x) = x^{2}+10[/tex], the average rate of change on the interval [tex][a,b][/tex] is represented by the definition of the secant line:
[tex]\bar f = \frac{f(b) -f(a)}{b-a}[/tex] (1)
Where:
[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds, dimensionless.
[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds, dimensionless.
Now we proceed to check each option:
A. [tex]a = -3[/tex], [tex]b = 3[/tex]
[tex]\bar f = \frac{19-19}{3-(-3)}[/tex]
[tex]\bar f = 0[/tex]
B. [tex]a = -4[/tex], [tex]b = -1[/tex]
[tex]\bar f = \frac{11-26}{(-1)-(-4)}[/tex]
[tex]\bar f = -5[/tex]
C. [tex]a = -3[/tex], [tex]b = 1[/tex]
[tex]\bar f = \frac{11-19}{1-(-3)}[/tex]
[tex]\bar f = -2[/tex]
D. [tex]a = -1[/tex]. [tex]b = 2[/tex]
[tex]\bar f = \frac{14-11}{2-(-1)}[/tex]
[tex]\bar f = 1[/tex]
The option D represents an interval with a positive average rate of change.
Answer:
It would be D
Step-by-step explanation:
Yak Travel Agency arranges trips for climbing Mount Everest. For each trip, they charge an initial fee in addition to \$0.15$0.15dollar sign, 0, point, 15 for each vertical meter climbed. For instance, the price for climbing all the way to the summit, which is 350035003500 meters above the base of the mountain, is \$645$645dollar sign, 645.
Let yyy represent the fee (in dollars) of a trip where they climbed xxx vertical meters.
Complete the equation for the relationship between the fee and vertical distance.
Answers
Answer:
[tex]y = 120 + 0.15x[/tex]
Step-by-step explanation:
Given
[tex]Additional\ Fee = \$0.15[/tex] per vertical meter
[tex]y = fee[/tex] per x meter
[tex]x = vertical\ meter[/tex]
For:
[tex]x = 3500[/tex] --- [tex]y = 645[/tex]
Required
Determine the equation that relates y to x
Let the initial fee be represented with m
The equation that relates y to x is:
[tex]y = Initial\ Fee + Additional\ Fee * Vertical\ Meter[/tex]
This gives
[tex]y = m + 0.15 * x[/tex]
We need to first solve for m
From the question,
[tex]x = 3500[/tex] when [tex]y = 645[/tex]
So:
[tex]645 = m + 0.15 * 3500[/tex]
[tex]645 = m + 525[/tex]
Make m the subject
[tex]m = 645 - 525[/tex]
[tex]m = 120[/tex]
So, the initial fee is $120
Substitute 120 for m in [tex]y = m + 0.15 * x[/tex]
[tex]y = 120 + 0.15 * x[/tex]
[tex]y = 120 + 0.15x[/tex]
Hence, the required equation is: [tex]y = 120 + 0.15x[/tex]
HELP ME PLEASE I NEED HELP I BEG OF U WILL MARK AND 5 STARS
Answers
Find the missing length.
С
9
c= /[?]
TX
Pythagorean Theorem: a2 + b2 = c2
3
Don’t mind the broken laptop
Answers
Answer:
c = [tex]\sqrt{90}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse c is equal to the sum of the squares on the other 2 sides, that is
c² = 9² + 3² = 81 + 9 = 90 ( take the square root of both sides )
c = [tex]\sqrt{90}[/tex]
is 2(x+3)=5x+6-3x always true or never true?
Answers
Answer:
always true
Step-by-step explanation:
Distribute the left side
2(x + 3) = 2x + 6
Simplify the right side
5x + 6 - 3x ← collect like terms
= 2x + 6
Thus
left side = right side , so always true
Equation 2(x + 3) = 5x + 6 - 3x is an identity which is always true.
What is identity?An identity is an equation which is always true, no matter what values are substituted.
Identities can be written with the sign ≡.
Given equation,
2(x + 3) = 5x + 6 - 3x
Simplifying
2x + 6 = 2x + 6
LHS = RHS
Hence, equation 2(x + 3) = 5x + 6 - 3x is always true.
Learn more about identity here:
https://brainly.com/question/29125576
#SPJ2
graph the function -4x + 3y = 15
Answers
Answer this question, and dnt answer it if u dnt know the answer :|
Answers
Answer: 45
Step-by-step explanation:
The sides are 2x,3x,4x
Add them up and you have 9x=45
When trying to find a common denominator, can you multiply the denominators and get a common denominator?(example: 3/7 2/5
7 x 5 = 35
2/35 3/35)
Answers
Answer:
im pretty sure you have to cross muliply
but i learned in school what ever you do to the top do to the bottom
hope it helps
sorry no definet answer
Step-by-step explanation:
A grocery store offers a 10% discount on your entire purchase when you spend more than $50. You have $117 to spend on groceries and the cost of the groceries in your cart is currently $50. The inequality 0.9(a+50)≤117 represents the cost a (in dollars) of groceries that you can add to your cart.
Answers
Answer:
a≤80
Step-by-step explanation:
Answer:
a≤80
Step-by-step explanation:
The table shows the location of four cities relative to sea level.
Which city is closest to sea level? Explain.
Answers
Answer:its citc (C)
Step-by-step explanation:
Lynne was wondering which game was more popular so she aksed her friends which they liked to play more, FortNite or Among Us. She found that of the 80 people who responded, 0.55 of them preferred FortNite, and 30% of them preferred Among Us. How many more of her friends prefer FortNite than Among Us?
Answers
Answer:
20 more of her friends prefer FortNite than Among Us
Step-by-step explanation:
Lynne was wondering which game was more popular so she aksed her friends which they liked to play more, FortNite or Among Us.
She found that of the 80 people who responded:
For fortnite:
0.55 of them preferred FortNite
Hence, = 0.55 × 80 people
= 44 people preferred fortnite
For Among us
30% of them preferred Among Us.
= 30% × 80 people
= 30/100 × 80 people
= 24 people preferred Among us.
How many more of her friends prefer FortNite than Among Us?
This is calculated as:
44 - 24
= 20 more people
Hence, 20 more of her friends prefer FortNite than Among Us
Answer:
20 more of her friends prefer Forte than Among