Answers
Answer:
c = 6√2
Step-by-step explanation:
The following data were obtained from the question:
Angle θ = 30°
Opposite = 3√2
Hypothenus = c
The value of 'c' can be obtained by using the sine ratio as shown below:
Sine θ = Opposite /Hypothenus
Sine 30° = 3√2/c
Cross multiply
c × sine 30° = 3√2
Divide both side by sine 30°
c = 3√2 / sine 30°
But: sine 30° = 1/2
c = 3√2 / sine 30°
c = 3√2 ÷ 1/2
c = 3√2 × 2
c = 6√2 yard
Therefore, the value of 'c' is 6√2 yard.
Related Questions
Write a rule for the nth term of the arithmetic sequence. d =1/2 , a6 =18.
Answers
Answer:
[tex]a_{n}[/tex] = [tex]\frac{1}{2}[/tex] n + 15
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₆ = 18 and d = [tex]\frac{1}{2}[/tex] , then
a₁ + 5d = 18 , that is
a₁ + [tex]\frac{5}{2}[/tex] = 18 ( subtract [tex]\frac{5}{2}[/tex] from both sides )
a₁ = [tex]\frac{31}{2}[/tex]
Thus
[tex]a_{n}[/tex] = [tex]\frac{31}{2}[/tex] + [tex]\frac{1}{2}[/tex] (n - 1) = [tex]\frac{15}{2}[/tex] + [tex]\frac{1}{2}[/tex] n - [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex] n + 15
$i^{11} + i^{16} + i^{21} + i^{26} + i^{31}$[tex]$i^{11} + i^{16} + i^{21} + i^{26} + i^{31}$[/tex]
Answers
Answer:
Step-by-step explanation:
i^{11}+i^{16}+i^{21}+i^{26}+i^{31}
[tex]=(i^{2} )^5i+(i^{2} )^8 +(i^{2} )^{10} i+(i^{2} )^{13}+(i^{2} )^{15} i\\=(-1)^5 i+(-1)^8+(-1)^{10} i+(-1)^{13} +(-1)^{15} i\\=- i+1+i-1-i\\=0- i[/tex]
A pair of dice is rolled. What is the probability that the sum is 9 or that the first number is a 2? Please show you're work!
Answers
Answer:
5/18
Step-by-step explanation:
There are 36 possible outcomes
There are 6 with a 2 as the first roll
There are 4 with a sum of 9
P( sum is 9 or that the first number is a 2)
= sum is 9 or that the first number is a 2/total
( 6+4) / 36
=10/36
=5/18
The Pentagon building in Washington, DC is the military headquarters of the United States. Why is this building called the Pentagon? Among the redwoods in California, there’s a rustic inn and restaurant called The Hexagon House. From the name of the inn, how many walls can you assume the main building of the inn has? Jill bought a basket to fill with potpourri. The basket has eight sides. What shape is it? Write the correct name for each of the following polygons. a. A Shape b. A Shape c. A Shape d. A Shape Find the perimeter of each of the regular polygons described below. a. A square with sides measuring 6 centimeters b. An equilateral triangle with sides measuring 7 inches c. A regular heptagon with sides measuring 4 feet d. A regular nonagon with sides measuring 9 inches. Find the perimeter of each of the following polygons. Polygons Shelly is hanging strings of holiday lights around the front windows of her house. Each window is a square with sides measuring 5 feet in length. She has a total of 80 feet of light strings. How many windows will she be able to decorate? Use equations to find the length of the missing sides in each of the following polygons. a. A Shape b. A Shape c. A Shape d. A Shape
Answers
Answer:
1. It has 5 sides.
2. It has 6 walls.
3. Octagon
4. a. Pentagon (The figure has 5 sides.) b. Triangle (The figure has 3 sides.) c. Hexagon (The figure has 6 sides.) d. Hexagon (The figure has 6 sides.)
5. a. 6 cm + 6 cm + 6 cm + 6 cm = 24 cm, or 4 × 6 cm = 24 cm, b. 7 in. + 7 in. + 7 in. = 21 in., or 3 × 7, in. = 21 in., c. 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. = 28 ft., or 7 × 4 ft. = 28 ft., d. 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. = 81 in., or 9 × 9 in. = 81 in.
6. a. 4 ft. + 3 ft. + 3 ft. + 2 ft. + 4 ft. + 5 ft. = 21 ft. b. 8 in. + 8 in. + 8 in. + 8 in. + 3 in. + 3 in. + 3 in. + 3in. = 44 in. c. 3 cm + 3 cm + 3 cm + 2 cm + 2 cm = 13 cm
7. Shelly has enough lights to decorate four windows.
8. a. 8 ft, b. 4 m, c. 24 ft, d. 7 cm
Step-by-step explanation:
PennFoster
Answer:
It has 5 sides.
It has 6 walls.
Octagon
a. Pentagon (The figure has 5 sides.)
b. Triangle (The figure has 3 sides.)
c. Hexagon (The figure has 6 sides.)
d. Hexagon (The figure has 6 sides.)
a. 6 cm + 6 cm + 6 cm + 6 cm = 24 cm, or 4 × 6 cm = 24 cm
b. 7 in. + 7 in. + 7 in. = 21 in., or 3 × 7 in. = 21 in.
c. 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. = 28 ft., or 7 × 4 ft. = 28 ft.
d. 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. = 81 in., or 9 × 9 in. = 81 in.
a. 4 ft. + 3 ft. + 3 ft. + 2 ft. + 4 ft. + 5 ft. = 21 ft.
b. 8 in. + 8 in. + 8 in. + 8 in. + 3 in. + 3 in. + 3 in. + 3in. = 44 in.
c. 3 cm + 3 cm + 3 cm + 2 cm + 2 cm = 13 cm
Let w stand for the number of windows Shelly can decorate. Each window is a square with sides measuring 5 feet. The perimeter of one window is 4 × 5 feet. Divide the total length of the light strings by the perimeter of one window.
80 ft. ÷ (4 × 5ft.) = w
80ft. ÷ 20ft. = w
4 = w
Answer: Shelly has enough lights to decorate four windows.
Step-by-step explanation:
PENN
Solve for x. 60 10 20 120
Answers
Answer:
Hey there!
We have the angle is equal to half the measure of the arc of 120 degrees. (Just another rule for circles)
7x-10=0.5(120)
7x-10=60
7x=70
x=10
Hope this helps :)
Answer:
x = 10
Step-by-step explanation:
Tangent Chord Angle = 1/2 Intercepted Arc
7x-10 = 1/2 ( 120)
7x -10 = 60
Add 10 to each side
7x -10+10 = 60+10
7x = 70
Divide by 7
7x/7 = 70/7
x = 10
discriminant of xsqaure - 1/2x +1/2=0
Answers
Answer:
[tex]\boxed{D = 15/8}[/tex]
Step-by-step explanation:
=> [tex]x^2-\frac{1}{2} x +\frac{1}{2} = 0[/tex]
Comparing it with the standard form of quadratic equation [tex]ax^2+bx+c = 0,[/tex] we get
a = 1, b = -1/2 and c = 1/2
Discriminant = [tex]b^2-4ac[/tex]
[tex]D = (-1/2)^3+4(1)(1/2)\\D = -1/8 + 2\\D = \frac{-1+16}{8} \\D = \frac{15}{8}[/tex]
please solve i will give brainiest 100 point question ****** do the whole page please
Answers
Answer:
a) point (2, 1) is when the ball is on it's way down at 2 seconds
b) vertex (1, 2) is the highest the ball goes, which is 2 at 1 second.
c) y-intercept (0, 1) at time zero the ball is starting at a height of 1.
d) Points (0, 1) and (2, 1) are the points at which the ball starts and when it is in the same position from the ground as when it started, which is 1.
e) zero (x-int) is when the ball hits the ground at 2.5 seconds.
Step-by-step explanation:
Answer:
See below
step by step explanation
A. (2 , 1 ) is point on the parabola . It represents that the height of the ball after 2 second have passed.
b. The vertex is at ( 1 , 2 ) . It represent that the maximum height of the ball which is 2 units to at t = 1 second
c. The y - intercept is ( 0 , 1 ) . It represent that the initial height of ball at t = 0 second is 1 unit.
d. Point ( 0 , 1 ) and ( 2 , 1 )
This point represent the set of point having equal height at two different time. It represents how long before the ball reaches the same height from the starting point.
e. The zero or x - intercept is ( 2.5 , 0 )
It represent the time taken by ball before it reaches the ground.
Hope this helps...
Best regards!!
Please answer this question now in two minutes
Answers
Answer:
20
Step-by-step explanation:
use the cos or sin function to solve
Step-by-step explanation:
using 30°
we use cos
cos 30 =10√3/UU = 10√3/Cos30 =20cmusing 60
we use Sin
Sin 60=10√3/UU = 10√3/Sin60 = 20 If the lengths of the legs of a right triangle are 3 and 10, what is the length of the hypotenuse?
Answers
Answer:
a = √109 or 10.44Step-by-step explanation:
To find the hypotenuse we use Pythagoras theorem which is given by
a² = b² + c²
where a is the hypotenuse
So we have
a² = 10² + 3²
a² = 100 + 9
a² = 109
a = √109 or 10.44Hope this helps you
Answer:
10.4
Step-by-step explanation:
Shelley and David have a sweet tooth. Shelley spent \$2.65 for 15 sour keys and 2 chocolate bars. David bought 3 chocolate bars and 10 sour keys for \$3.35 at the same store. Find the cost of each chocolate bar and each sour key at this store. If you need 8 chocolate bars and 24 sour keys to give to friends coming to your birthday party, how much will they cost you at this store?
Answers
Answer:
Chocolate bars: $0.95 each
Sour keys: $0.05 each
Total cost for 8 chocolate bars and 24 sour keys: $8.80
Step-by-step explanation:
sour keys=x
chocolate bars=y
15x+2y=2.65
10x+3y=3.35
multiply the second equation by 1.5
15x+4.5y=5.025
2.5y=2.375
y=0.95
Chocolate bars are $0.95 each.
Now substitute the y value in one of the equations
15x+2(0.95)=2.65
15x+1.9=2.65
15x=0.75
x=0.05
Sour keys are $0.05 each.
For the second part of the question, just multiply the number of chocolate bars by the cost and same thing with the sour keys and add them.
Final answer: $8.80
Which of the following is(are) the solution(s) to |x+3| = 12?
A. X= 15
B. X = 9.-15
C. X = 15,-9
O D. x = 9
Answers
Answer:
B. x = 9 or -15Step-by-step explanation:
|x+3| = 12
x+3 = 12 or x+3 = -12
x = 9 or x = -15
5 points
13. The distribution by state of 840
students in the Faculty of Science of
a Nigerian university in a certain
session is as follows: Kano 45; Kwara
410; Ogun 105; Ondo 126; Oyo 154. In
a pie chart drawn to represent this
distribution, the angle subtended by
Ondo is
36°
0 42
45
0 54
Answers
Answer:
[tex]Angle = 54[/tex]
Step-by-step explanation:
Given
Kano = 45;
Kwara = 410;
Ogun = 105;
Ondo = 126;
Oyo = 154
Total Distribution = 840
Required
Determine the angle subtended by Ondo (in a pie chart)
The general formula to calculate subtended angle in a Pie chart is;
[tex]Angle = 360 * \frac{Frequency}{Total\ Frequency}[/tex]
In this case of Ondo
Frequency = 126
Total Frequency = Total Distribution = 840
Substitute these values in the given formula;
[tex]Angle = 360 * \frac{126}{840}[/tex]
[tex]Angle = \frac{360 *126}{840}[/tex]
[tex]Angle = \frac{45360}{840}[/tex]
[tex]Angle = 54[/tex]
Hence, the angle subtended by Ondo is 54
Which graph represents the solution to this system of inequalities? y 2x-4
Answers
Answer:
where's the graph??? .......
A bag contains two red marbles, two green ones, one lavender one, five yellows, and six orange marbles. HINT [See Example 7.] How many sets of four marbles include one of each color other than lavender?
Answers
Answer: 120
Step-by-step explanation:
Given: A bag contains two red marbles, two green ones, one lavender one, five yellows, and six orange marbles.
The total number of marbles in the bag : 2+2+1+5+6=16
Now, the number of ways of selecting sets of four marbles include one of each color other than lavender is
[tex]\( C(2,1) \times C(2,1) \times C(5,1) \times C(6,1)=2 \times 2 \times 5 \times 6\)=120[/tex] [[tex]\because\ C(n,1)=n[/tex]]
Hence, the number of sets of four marbles include one of each color other than lavender = 120
What is a co-prime number? Please answer as soon as possible Thank you
Answers
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
Two numbers that only have 1 as a common factor are called co-prime numbers.
Example:
Factors of 3 ⇒ 1, 3
Factors of 4 ⇒ 1, 2, 4
These numbers only have 1 as a common factor. So 3 and 4 are co-prime numbers.
Which equation can be used to solve for m, the greater integer? m(m – 3) = 108 m(m + 3) = 108 (m + 3)(m – 3) = 108 (m – 12)(m – 9) = 108
Answers
Answer:
m(m-3)=108
Step-by-step explanation:
Complete question below:
Two positive integers are 3 units apart on a number line. Their product is 108.
Which equation can be used to solve for m, the greater integer?
m(m – 3) = 108
m(m + 3) = 108
(m + 3)(m – 3) = 108
(m – 12)(m – 9) = 108
Solution
On the number line,
Let
m= larger integer
The integers are 3 numbers apart on the number line, so
m-3=smaller integer
The product (×) of the larger and smaller integers=108
(m)*(m-3)=108
m(m-3)=108
Therefore, the equation that can be used to solve for m, the larger integer is:
m(m – 3) = 108
Answer:
its a
Step-by-step explanation:
XD
hi :) in the pic is a question that i need help with i just dont get it
Answers
Answer:
Hey there!
The width is 3 inches, and in real life it would be 90 inches. (3x30)
The length is 5.5 inches, and in real life it would be 165 inches. (5.5x30)
90 inches is 7.5 feet
165 inches is 13.75
13.75 times 7.5 is 103.125, so rounded to the nearest integer, that would be 103 ft^2.
Hope this helps :)
plz help will give brainliest
Answers
Answer:
77
Step-by-step explanation:
slope equation
Which of these is a solution to the equation graphed below?
Answers
Answer:
see explanation
Step-by-step explanation:
Any point that lies on the line is a solution to the equation.
Thus
(0, 1 ), (2, 0 ), (- 2, 2), (4, - 1 ) are all solutions
Answer:
[tex]\boxed{(6, -2)}[/tex]
Step-by-step explanation:
Any of the points that lies on the line is the solution to the equation of the line.
(-2, 2), (0, 1), (2, 0), (4, -1), (6, -2) are all solutions.
write the sum of twice a number and eleven as an algebraic expression
Answers
Answer:
2x-11
Step-by-step explanation:
2 x X = 2x + 11
A school wants to plant some trees in 53 rows. The Gardener bought 15019 saplings from nursery. How Many least number of saplings should he bring more so that each number of trees_?
Answers
Answer:
33
Step-by-step explanation:
15019 / 53 = 283 R20
53 − 20 = 33
He needs 33 more trees so that every row can have the same number of trees.
The slope of the function ƒ (x) = 8 - 2x is _____. 2 - 2 8 -8
Answers
Answer:
-2
Step-by-step explanation:
your equation is
f(x) = -2x+8
-2x
-2 is the slope
Answer:
The slope is -2
Step-by-step explanation:
Rewriting f(s) as y
y = -2x+8
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -2x+8
The slope is -2
Which equation can you use to solve for theta in the figure shown? A right triangle is shown. 2 sides have lengths of 45 feet and 31.2 feet and the hypotenuse has a length of 54.8 feet. The angle opposite to the side with length 45 feet is theta.
Answers
Answer:
45/58.4
Step-by-step explanation:
Answer: part 1: 45/54.8.
Part 2: 55.2
Step-by-step explanation:
Edge
For the following system, use the second equation to make a substitution for y in the first equation. 3x + y = 1 y + 4 = 5x What is the resulting equation? 1. 3x + 5x - 4 = 1 2. 3x + 4 - 5x = 1 3. 3x + 5x + 4 = 1
Answers
Answer:
The answer is A.
Step-by-step explanation:
So we have the two equations:
[tex]3x+y=1\\y+4=5x[/tex]
To make a substitution of the second equation into the first equation, we need to isolate the y variable in the second equation. Thus:
[tex]y+4=5x\\y=5x-4[/tex]
Now, we can substitute this into the first equation. Therefore:
[tex]3x+y=1\\3x+(5x-4)=1\\3x+5x-4=1[/tex]
which ones have no solution? a. -14x+23=14x-23 b. 14x+23=14x-23 c. -23x-14=14x-23 d. 14x-23=14x-23
Answers
Answer:
B and D
Step-by-step explanation:
B: 14x and 14x cancel out, so there would be no x left.
D: 14 x and 14x cancel out, as well as -23 and -23, therefore leading to no solution.
Hope this is helpful! :)
Answer:
The answer is B
Step-by-step explanation:
I got this answer on Khan Academy.
Hope this helps! :)
Determine whether the underlined number is a statistic or a parameter. Upper A sample of professors is selected and it is found that Modifying 35 % with underline own a television. Choose the correct statement below. Parameter because the value is a numerical measurement describing a characteristic of a population. Statistic because the value is a numerical measurement describing a characteristic of a population. Parameter because the value is a numerical measurement describing a characteristic of a sample. Statistic because the value is a numerical measurement describing a characteristic of a sample
Answers
Answer:
Option : Statistic because the value is a numerical measurement describing a characteristic of a sample.
Step-by-step explanation:
A sample of professors is selected and it is found that Modifying 35 % with underline own a television.
The 35% is the value that summarizes the characteristic of the sample taken from the population. Thus, the value 35% is a statistic.
While a parameter gives a value describing the characteristic of the population itself
Given: Sample proportion is (P)=[tex]35%[/tex]%.
Statistics are the constants that are computed from sample observations alone. This is a simple definition of statistics.
Answer: The correct statement is Statistic because the value is a numerical measurement describing a characteristic of a population.
Explanation: That is, statistic because the value is a numerical measurement describing the characteristic of a sample.
The remaining statements are incorrect.
As parameters are the constants of the population. They describe only the population not the sample.
Learn more: https://brainly.com/question/10211620
2. Ravi purchased an old house for Rs. 76.5000 and
spent Rs. 115000 on its. Then he sold it at a
gain of 5%. How many
much did he get.
Answers
Answer:
Rs. 924000.
Step-by-step explanation:
Cost of house = 765000
Additional money spent on it = 115000
Total cost incurred by Ravi = 765000 + 115000 = 880000
Gain = 5% of total cost
gain in Rs = 5/100 * 880000 = Rs. 44000
Total selling price of house = total cost incurred + profit = 880000+ 44000
Total selling price of house = Rs. 924000
Thus, Ravi got Rs. 924000.
Tins of milk each of volume 77cm^3 and weight 170g
were packed into an empty carton of volume 1540cm^3
and weight 5ooo g.
How many tins of milk can be packed to fill the carton ?
What is the weight of the carton when packed with the tins of milk?
Answers
Answer:
1. 20 tins of milk
2. Weight of the Carton = 8,4kg ot 8400g
Step-by-step explanation:
Given
Volume of a Tin = 77cm³
Weight of a tin = 5000g
Volume of Empty Carton = 1540cm³
Weight of Empty Carton = 5000g
Calculating the number of tins of milk
To do this, we have to make use of the given volumes;
And this is done as follows;
[tex]Number = \frac{Volume\ of\ Empty\ Carton}{Volume\ of\ a\ Tin}[/tex]
Substitute 77cm³ for Volume of a Tin and 1540cm³ for Volume of an Empty Carton
[tex]Number = \frac{1540cm^3}{77cm^3}[/tex]
[tex]Number = 20[/tex]
Hence, 20 tins of milk will filled the empty carton
Calculating the weight of the Carton after filled with tins of milk
This is calculated as thus;
Total Weight = Weight of Empty Carton + Weight of Tins of Milk
Substitute 5000g for Weight of Empty Carton
Total Weight = 5000g + Weight of Tins of Milk
_________________________________________
Calculating Weight of Tins of Milk
Since 20 tins of milk will fill the empty carton, the
Weight of Tins of Milk = 20 * Weight of 1 Tin of Milk
Weight of Tins of Milk = 20 * 170g
Weight of Tins of Milk = 3400g
_________________________________________
Substitute 3400g for Weight of Tins of Milk
[tex]Total\ Weight = 5000g + 3400g[/tex]
[tex]Total\ Weight = 8400g[/tex]
In Kilograms:
[tex]Total\ Weight = 8.4kg[/tex]
50 Pts!! Brainliest!! Answer ASAP, pls. Thx.
Answers
Answer:
Choice A
Step-by-step explanation:
First, let's simplify the equation. We get [tex]\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }[/tex] . Then, we can simplify. We now have [tex]\frac{3^{-3}m^{5} }{6n}[/tex] . To get rid of the negative exponent, we multiply the top and bottom by 3^3 to get [tex]\frac{m^{2} }{6nx3^{3} }[/tex]. Note that the x in the denominator stands for multiplication. 3^3 = 27, so we have [tex]\frac{m^{5} }{6n(27)} = \frac{m^{5} }{162n}[/tex]
Answer:
m^5/ 162 n
Step-by-step explanation:
( 3 m^-2 n) ^-3 / (6mn^-2)
We know a^ -b = 1/ a^b
1 / ( 3 m^-2 n) ^3 *(6mn^-2)
Distribute the power of 3
1 / ( 3^3 m^ -2 ^ 3 n^3) * ( 6m n^-2)
We know a^ b^ c = a^ ( b*c)
1 / ( 27 m^( -2 * 3) n^3) * ( 6m n^-2)
1 / ( 27 m^( -6) n^3) * ( 6m n^-2)
We know a^b * a^c = a^ ( b+c)
1 / ( 27*6 m^( -6+1) n^(3-2))
1/ (162 m^ -5 n^1)
We know a^ -b = 1/ a^b
m^5/ 162 n
Follow the steps to solve for the variable in this two step equation 5x-10=0
Answers
Answer:
x = 2
Step-by-step explanation:
5x = 10
x = 2
Answer:
x = 2
Step-by-step explanation:
5x-10=0
Add 10 to each side
5x-10+10=0+10
5x = 10
Divide by 5
5x/5 = 10/5
x = 2