Work out the size of the angle marked X.
Give your answer correct to 1 decimal place.
Answers
Answer:
41.8°
Step-by-step explanation:
We solve using the Trigonometric function of Sine
Hypotenuse = 15cm
x = θ
Opposite = 10cm
sin θ = Opposite/Hypotenuse
sin θ = 10/15
θ = arc sin ( 10/15)
θ = 41.810314896°
θ = Approximately to 1 decimal place = 41.8°
Therefore, x = θ = 41.8°
Related Questions
Two dice are rolled simultaneously and the difference of the numbers are
found.
(a) Draw a table to show all the possible outcomes after the rolling of the two
dice.
Answers
Answer:
Step-by-step explanation:
you can draw a table that has 7 rows and 7 columns, put the 6 numbers and their difference( 1-1=0, 1-2= -1, 1-3= -2,...)
- 1 2 3 4 5 6
1 0 1 2 3 4 5
2 -1 0 1 2 3 4
3 -2 -1 0 1 2 3
4 -3 -2 -1 0 1 2
5 -4 -3 -2 -1 0 1
6 -5 -4 -3 -2 -1 0
A right circular cone has a radius of 6 inches and a slant length of 10 inches. A right cylinder has a radius of 8 inches and a height of 12 inches. How many cones full of water are needed to fill the cylinder
Answers
Answer:
6.4 cones full of water
Step-by-step explanation:
Given data
Radius of cone= 6inches
Slant height= 10 inches
Volume of cone= 1/3πr^2h
V= 1/3*3.142*6^2*10
V= 1/3*3.142*36*10
V= 1/3*1131.12
V= 377.04 cubic inches
Radius of right cylinder= 8 inches
Height= 12 inches
Volume of cylinder= πr^2h
Volume= 3.142*8^2*12
Volume= 3.142*64*12
Volume=2413.056 cubic inches
Hence the number of cone full of water needed to fill the cylinder is
=Volume of cylinder/volume of cone
=2413.056/377.04
=6.4 cones full of water
Solve this problem and I will give you a brainliest (up)
Answers
3x-5=-2
3(1)-5=-2
3-5=-2
-2=-2
Answer:
x < 1
x > -1
Step-by-step explanation:
i need to gina the length of the side
Answers
Answer:
15
Step-by-step explanation:
9 squared + 12 squared = x squared
81 + 144 = x
81 + 144 = 225
the sqaure root of 225 = 15
b) One of the cars is considered a 'collector's classic', so it's age doesn't affect it's price as much. Write down the coordinates of the cross that you think represents this car on the graph.
Answers
Answer:
Step-by-step explanation:
a.
moderate or week negative correlation
b.
(8, 8200) are the approximate coordinates of the collector's classic
Step-by-step explanation:
much. Write down the coordinates of the cross that you think represents this car on the graph
Describe the effect of each change on the perimeter or circumference and area of
the given figure.
12. The base and height of a triangle with base 10 cm and height 12 cm are multiplied
by 3.
Answers
Answer:
wrong it is b*h/2
Step-by-step explanation:
The number of apple slices placed in 5 different pies is listed below. 94, 90, 82, 94, 85 What is the difference between the mean and the mode of these numbers?
Answers
Answer:
Mode: 94
Mean: 89
Difference between them: 5
Step-by-step explanation:
2x-y=0 3x=2y=-3
I’m not sure the correct steps to solve.
Answers
Answer:
x = 3 and y = 6
Step-by-step explanation:
The given equations are :
2x-y=0 ......(1)
3x-2y=-3 .....(2)
We need to solve equations (1) and (2).
Equation (1) can be written as :
2x = y
Put the value of y in equation (2)
3x-2(2x)=-3
3x-4x = -3
-x = -3
x = 3
Put the valye of x in equation (1)
2(3)-y=0
y = 6
Hence, the value of x = 3 and y = 6.
May someone please help me?
Answers
Answer:
The 3rd table
Step-by-step explanation:
The x values are dividing by 5 to get the y values. The table is proportional because it's a pattern not just random values.
The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.
Answers
The Glendale Plaza Building in Glendale, California, is 353 feet tall. The U.S. Bank Tower in Los Angeles, California, is 1,017 feet tall. Which building is taller?
Answers
Answer:
The U.S Bank Tower
Step-by-step explanation:
I hope this helps
A 17-foot ladder is leaning against a building. The base of the ladder is 8 feet
from the base of the building. The side of the building and the ground form
a right angle as shown.
Enter the distance between the ground and the top of the ladder, x, in feet.
Answers
Answer:
Pythagorean theorem:
x^2 = 17^2 - 8^2
x^2 = 225
x = sqrt(225) = 15
The distance is 15 ft
Answer:
Solution given:
base=8ft
hypotenuse=17ft
perpendicular=?
By using Pythagoras law
hypotenuse ²=perpendicular ²+base²
17²=perpendicular ²+8²
perpendicular ²=17²-8²
perpendicular=[tex]\sqrt{225}=15[/tex]
the distance between the ground and the top of the ladder, x is 15ft.PLEASE HELP PLEASE IM STUCK PLEASEEE
Answers
Answer:
Step-by-step explanation:
since it's a square we know the two sides are equal. So set them equal and solve for X
a)
4x + 3 = 3x +17
4x-3x = 17 -3
x = 14
Since we now know X plug it into the expression for the angle
b)
5(14) + 4y = 90 ( 90° b/c we know the angle is equal to that )
70 4y = 90
4y = 90-70
4y = 20
y = 20/4
y = 5
c)
we can find the perimeter by just plugging in X to either of the expressions for the side and then multiplying that by 4, since there are 4 sides
4(14) +3
56 +3
59
now times 4 for each side
59*4= 236
PLEASE ANSWER THISSSSSSSSSSSSSSSSSSSSS
Answers
Answer: A
Step-by-step explanation: Because there 3 data points in each quartile which are lower quartile, median, and upper quartile to form four groups in the dataset.
Choice B is not correct because you don't know how many people have no pets. Choice C is not correct because it is exactly 75% of people own one or more pets. Choice D is not correct because 3/4 have between 1 and 6 pets not 1/2.
Hope it helps :)
A circle has a circumference of 3.14 units.
What is the diameter of the circle?
Answers
Answer:
1 unit
Step-by-step explanation:
divide by pi (3.14) to get the diameter of a circle
Order these numbers from least to greatest.
8.7, 8.6072, 8.67, 7.855
Answers
Answer:
7.855, 8.6072, 8.67, 8.7
Answer:
numbers from least to greatest.
are:
7.8558.60728.678.7$(x^2-4x+2)^{x^2-5x+2} = 1.$
;PPP
Answers
It shows how you kind of get the answer and kind of explains it.
The volume of the triangular prism is 54 cubic units.
What is the value of x?
O 3
O 5
O 7
O 9
Answers
Explanation:
Volume = Base Area x Height
54 = (1/2 * b * h) * 3x
54 = (1/2 * 4 * x) * 3x
54 = 2x * 3x
54 = 6x^2
9 = x^2
x = 3
In a standard deck of 52 cards, what is the probability of drawing a club or a spade?
A: 25%
B: 50%
C: 100%
Answers
Answer:
B) 50%
Step-by-step explanation:
It says or so it includes both as a probability, since drawing one of the four suits is 25% adding them together would increase the probability for two either two suits to 50%
Out of $132,624, how much money will be remaining with the company after purchasing 1184 hard drives for $112 each?
Answers
Answer:
$16
Step-by-step explanation:
Given data
Total amount= $132,624
Cost of each hard drive= $112
Total number of hard drive=1184
Cost of all the hard drives= 112*1184
Cost of all the hard drives=$132608
Balance will be= 132,624-132608
Balance will be= $16
5. What can you conclude from the picture shown below? Select all that apply.
A. MZD= 130
B. ZB and C are vertical angles.
C. ZB and C are adjacent angles.
D. ZB and ZD are adjacent angles.
E. ZB and ZA are complementary angles.
Answers
Answer:
A and B
Step-by-step explanation:
The answer for the question is A and B because 130+ 50=180 A line is equivalent to 180 degrees.B and C are opposites from each other so they are vertical.
write the answer as a decimal to the nearest tenth
Y=___( look at the image )
Answers
Find the area of a circle with a radius of 8.
Either enter an exact answer in terms of 7 or use 3.14 for 1 and enter your answer as a decimal.
units2
Answers
Answer:
A = 64 pi
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 8
A = pi * 8^2
A = 64 pi
Plzzz HUURRYYY and pls explain
Complete the working to expand and simplify:
3x(4x + 2) + 3(x + 4) = 12x2 +
X +
X +
Answers
Area of square is
a 2(l+b)
b l+b
c l²
d l³
Answers
[tex] \huge \huge \huge\square[/tex]
Here All Sides Are Equal So,
Area = side × side= side²
So Assuming Side As 'l'
so, l×l = l²
Option C= l²Hope This Helps You ❤️Which equation represents this graph?
Answers
(B)
.....................
Which statement best describes the use of a stimulation to predict the probability that two randomly chosen people will both have their birthdays on a monday
Answers
Answer:
The answer is "The Last choice".
Step-by-step explanation:
Please find the complete question in the attached file.
It is the phrase that perfectly represents the usage of a simulation for an estimate of the likelihood of the birthday of 2 randomly chosen persons on a Monday.
In a week there are 7 days, so seven choices are available, and just one Monday. Therefore, it is probable that [tex]\frac{1}{7}[/tex] will occur on a Monday to a birthday individual.
The first person will have a probability [tex]\frac{1}{7}[/tex].
The second person also has a probability [tex]\frac{1}{7}[/tex] .
Can someone help with this math question please?
Answers
You want to create a rectangular display board and line it with string lights. You want the lights to go along the two sides and the top, but not along the bottom. You have 40 feet of lights to use. What is the maximum size the display area can be to give the maximum area? What is the maximum display area?
pls help ily
Answers
Answer:
The maximum display area is 200sq. Ft. (square feet)
The maximum size of the lights is 20ft for the top and 10 ft for the sides
Step-by-step explanation:
I’m gonna delete this tmr because teacher checks this website I think
Help plz..And No links!! I repeat No links!!
Answers
Answer:
8,8 is correct answer please Like me
Answer:
Step-by-step explanation:
scale factor=4