The distance of the ball thrown is 67 ft. approx.
What are trigonometric functions?In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.
Given here θ=63 and length of the field as 60 and let d be the distance
∴ Cos (180-63-90)=60/d
d = 60/cos(27)
d = 67 (approx)
Hence, The distance of the ball thrown is 67 ft. approx.
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I need help asap please
Answer:
1)33.4096
2) 113.1
3) 268.08
4) 904.78
Step-by-step explanation:
Volume = 4/3π*r cubed
So, let's say π = 3.14
1) Radius =2
4/3*3.14 = 4.1762
4.1762*2*2*2
4.1762* 8
=33.51
2) Radius = 3
113.1
3) Radius = 4
268.08
4) Radius = 6
904.78
I hope this helps
Sorry if it's wrong, I am just 4th grade :(
Make up an equation of the form y = kx +b, the graph of which passes through the following points:
P (4, 1) and Q (3, –5)
Answer:
y=6x-23
Step-by-step explanation:
Step-by-step explanation:
m = (y2 - y1)/(x2-x1)
m = (-5 -1)/(3-4) = -6/-1 = 6
y = 6x + b
then
slope point form
y - y1 = m (x - x1)
y - 1 = 6 (x - 4)
y - 1 = 6x - 24
y = 6x - 23
A ship is stationary at sea.
A tugboat is 28 km away at a bearing of 210°, and a yacht is 24 km from the tugboat at a bearing of 310°.
Draw a scale diagram showing the positions of the three vessels.
Use a scale of 1 cm : 4 km.
Use your diagram to find the distance of the yacht from the ship to the nearest km. I’ll give brainliest i just need help please :).
Answer:
The distance between the yacht from the ship is about 33.6 km.
Step-by-step explanation:
The diagram is attached below.
Point A is the shipe, Point B is the tugboat, and Point C is the yacht.
Since the tugboat is 28 km away, and the scale being used is 1 cm : 4 km, the tugboat is 7 cm away from the ship at a 210° bearing on the diagram.
Likewise, the yacht is 6 cm away from the tugboat at a 210° bearing.
To find the distance between the yacht to the ship, we need to determine the value of x.
To do so, we can use the Law of Cosines:
[tex]b^2=a^2+c^2-2ac\cos(B)[/tex]
First, we need to determine ∠B.
A has a bearing of 210°. 180° is covered by QI and IV. So, the small angle in QIII is 30°.
By Alternate Interior Angles, the angle in QI (inside the triangle) of Point B must also be 30°.
And since Point B has a bearing of 310°, 270° is covered in total by QI, QIV, and QIII. So, 40° is left in QII.
Therefore, 50° is the measure of the angle in QIII within the triangle of Point B.
Thus, ∠B measures 50° + 30° = 80°.
So, ∠B measures 80°. We also know that a = 6 and c = 7. Substitute:
[tex]b^2=(6)^2+(7)^2-2(6)(7)\cos(80)[/tex]
Simplify and take the square root of both sides. So:
[tex]b=\sqrt{85-84\cos(80)}[/tex]
Approximate using a calculator:
[tex]b=8.3912...\approx 8.39\text{ cm}[/tex]
Since 1 cm : 4km, to find the distance in km, we simply need to multiply by four. So:
[tex]\Rightarrow b=4(8.3912...)=33.5651\approx 33.6\text{ km}[/tex]
The distance between the yacht from the ship is about 33.6 km.
One of the legs of a right triangle measures 9 cm and the other leg measures 11 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
[tex]\boxed {\boxed {\sf 14.2 \ cm}}[/tex]
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem to solve for the sides.
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse. In this triangle, we know the legs are 9 centimeters and 11 centimeters, or:
a= 9 cm b= 11 cmSubstitute these values into the formula.
[tex](9 \ cm)^{2} +(11 \ cm)^{2} =c^{2}[/tex]
Solve the exponents.
(9 cm)²= 9 cm*9 cm=81 cm²[tex]81 \ cm^{2} +(11 \ cm)^{2} =c^{2}[/tex]
(11 cm)²= 11 cm*11 cm= 121 cm²[tex]81 \ cm^{2} +121 cm^{2} =c^{2}[/tex]
Add the values on the left side.
[tex]202 \ cm^{2} =c^{2}[/tex]
Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.
[tex]\sqrt {202 \ cm^{2} }=\sqrt{c^{2} }[/tex]
[tex]\sqrt {202 \ cm^{2} }=c[/tex]
[tex]14.2126704036 \ cm =c[/tex]
We are told to round to the nearest tenth.
14.2126704036The 1 in the hundredth place tells us to leave the 2 in the tenth place.
[tex]14.2 \ cm= c[/tex]
The hypotenuse is equal to 14.2 centimeters.
Which equation is the inverse of 2(x-2)² = 8(7+ y)?
O-2(x-2)² = -8(7+ y)
Oy-1x²-x-8
O y=-2± √28+4%
Oy=2+√√28+4x
as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.
[tex]2(x-2)^2=8(7+y)\hspace{5em}\stackrel{\textit{quick switcheroo}}{2(y-2)^2=8(7+x)} \\\\\\ (y-2)^2=\cfrac{8(7+x)}{2}\implies (y-2)^2=4(7+x)\implies (y-2)^2=28+4x \\\\\\ y-2=\pm\sqrt{28+4x}\implies \boxed{y=2\pm\sqrt{28+4x}}\qquad \impliedby f^{-1}(x)[/tex]
Oceanside Bike Rental Shop charges 18 dollars plus 8 dollars an hour for renting a bike. Mary paid 74 dollars to rent a bike. How many hours did she pay to have the bike checked out ?
Answer: 7 hours! you do 74-18 to get 56 then you divide 56 by 8 to get 7.
Step-by-step explanation:
hope this helps!!
A coin is flipped 200 times. The table shows the frequency of each event.
Outcome Frequency
Heads 98
Tails 102
Determine the experimental probability of landing on heads.
102%
98%
50%
49%
probability of landing on heads - 49 %
Answer:
49%
Step-by-step explanation:
BROO PLS SOMEONE HELP IM SO CONFUSED
The start of an arithmetic sequence is shown below.
Work out the nth term
Work out the 30th term in this sequence.
4 - 13 - 22 - 31
The 30th term of the arithmetic sequence is 265
What is an arithmetic sequence in math?
Arithmetic sequences are those in which each term is increased by the addition or subtraction of a constant k. In contrast to a geometric sequence, where each term rises by being multiplied by or divided by a constant k,A series of numbers is considered to be an arithmetic progression or sequence if there is a constant difference between the terms. Consider the mathematical progression with a common difference of 2 in the numbers 5, 7, 9, 11, 13, and so on.An is equal to a1 + d(n - 1), where d is the common difference across terms in the series, and a1 is the first term in the sequence.This is an arithmetic sequence since there is a common difference between each term. In this case, adding 9 to the previous term in the sequence gives the next term. In other words, [tex]a_{n}[/tex]= [tex]a_{1}[/tex]+ d ( n - 1 )
Arithmetic Sequence: d = 9
This is the formula of an arithmetic sequence.
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + d ( n - 1 )
Substitute in the values of [tex]a_{1}[/tex] = 4 and d = 9
[tex]a_{n}[/tex]= 4 + 9 ( n - 1 )
[tex]a_{n}[/tex]= 4 + 9n - 9
[tex]a_{n}[/tex] = 9n - 5
.30th term = [tex]a_{n}[/tex] = [tex]a_{1}[/tex]+ d ( n - 1 )
= [tex]a_{30}[/tex]= 4 + 9 ( 30 -1 )
[tex]a_{30}[/tex]= 4 + 9 x 29
[tex]a_{30}[/tex]= 265
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Can I add myself on Wikipedia?
One cannot add themselves directly to Wikipedia as this can cause harm to the platform and community in a later run. As one can start adding content and details on the page based on their personal opinions.
Therefore we can say that the answer is that we cannot edit or create our own Wikipedia page, because that would be a conflict of interest ,more on this later.
But the thing which one can do is to add themselves in the line ,to list themselves on Wikipedia’s repository of articles which are out there looking for creators who can help maintain the site.
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Classify each transformation by its properties.
The classification of the transformations based on the properties are presented as follows;
[tex]\begin{array}{|c|c|c|} & \mathbf{Preserves \ length} & \mathbf{Does \ not \ preserve \ lengths} \\\mathbf{Preserves \ angle \ measure} & Reflection\ Rotation &Translation \ followed \ by \ dilation \\&&Dilation \ with \ K > 1\\\mathbf{Does \ not \ preserve \ angle \ meas} & & \\\end{matrix}[/tex]
What are the different transformation effects?The transformations that preserves the lengths of the original figure or pre-image and also preserves the angle measure is a rigid transformation.
Rigid transformations includes; Reflections, rotations, and translations
Transformations that preserves the angle of measure but in which the lengths of the preimage is not preserved are non-rigid transformations
Non rigid transformations includes; Dilation with a scale factor
Transformations that does not preserve the angle measure includes; Shear transformation
A translation and a dilation transformation does not preserve the lengths of the original figure.
The classification of the transformations based on their properties are therefore presented as follows;
[tex]{}[/tex] Preserves lengths Does not preserve lengths
Preserves Reflection [tex]{}[/tex] Translation followed by dilation
angle measure Rotation [tex]{}[/tex] with k > 1
[tex]{}[/tex] Dilation with k > 1
Does not
Preserve angle
measure
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Help
Gcse Foundation.
Redraw the triangle just 1/2 the size
Answer:
Answer is in the image attached.
Step-by-step explanation:
Triangle ABC has a perimeter of 22cm
AB = 8cm
BC = 5cm
By calculation, deduce whether triangle ABC is a right-angled triangle
PLSSS HELPPPP
Ricardo
1. A block of wood is 5 inches long, 2 inches wide, and 3 inches high. What 2 is the volume of this block of wood?
PLEASE HELPppppp will give brainly
Answer:
[tex]\boxed{D) ~(-6,-12)}[/tex]
Step-by-step explanation:
[tex]\boxed{Rule}:-[/tex]
[tex](x,y)[/tex] → [tex](3x,3y)[/tex]
[tex]p(-2,-4)[/tex] → [tex](3x-2,-4*3)[/tex]
[tex]\boxed{Answer: (-6,-12)}[/tex]
[tex]-------------[/tex]
hope it helps...
have a great day!!
Answer:
(-6, -12)
Step-by-step explanation:
In dilations, the scale factor is how many times larger the figure will be.
In other words, multiply the x and y-coordinates by the scale factor. In this case, the scale factor is 3.
(-2, -4) are the original coordinates.
-2 × 3 = -6
-4 × 3 = -12
Therefore, the new coordinates are (-6 -12).
In the Trans-Yukon Rally Race, which is currently underway, they give a four minute window between start times for each team to space the vehicles out on the course. Each team's finish in the race is then determined by their individual time to complete the course. There are five teams that are sponsored by American motor companies. The drivers of the American teams, their current mileage into the race, and their official times at that point of the race are listed in the table below.
Name Mileage Time (hours:minutes:seconds)
Adam 68 5/8 1:49:48
Allen 58 4/5 1:36:00
Nigel 32 3/10 0:51:00
Owen 44 1/10 1:12:00
William 54 3/8 1:27:00
Which sets of drivers are progressing at the same pace?
Owen and William
Adam and William
Nigel and Owen
Allen and Owen
Adam and Allen
Nigel and William
Answer:
Hi how are you doing today Jasmine
Adam and William
Allen and Owen
Given the picture below, where would point A’ be located after a dilation of 2 centered at point D (red point)
After dilation, the co-ordinate of point A will be (-4,4) while B will be (2,4) and of C will be (-2,0).
After dilation, how do you locate points?The distance between the point of dilation and the point you are dilating must be multiplied by three if the point you are dilating is directly above the point of dilation and you are dilating by 3. You inserted your new point there.
How can a point be widened by two?The x-value of each point will be multiplied by 2 to enlarge the image by a factor of two. The x and y values of each point will be multiplied by 2 to enlarge the figure by a factor of 2.
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What is the measure of m?
n
m
28
7
m = [? ] V
Give your answer in simplest form.
when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.
[tex]\cfrac{35}{m}=\cfrac{m}{7}\implies 245=m^2\implies \sqrt{245}=m\implies \sqrt{7^2\cdot 5}=m\implies 7\sqrt{5}=m[/tex]
Solve the system of equations using subtraction.
3x – 3y = -6
3x + y=10
Answer:
(2,4)
Step-by-step explanation:
x=2
y=4
Find the measure of the missing angles.
Answer:
60 kkkkkkkkkkkkkkkkkkkkkk
Answer:
a = 60
Step-by-step explanation:
First off this is a straight angle so it will add up to 180 degrees we already have 30 and the other angle between a and 30 is a 90 degree angle so now we just have to subtract those from 180 to get the answer! so... 90 + 30 = 120 180 - 120 = 60
So 60 is the answer hope that helps!
1.) what is the length of the apothem in this regular pentagon?
2.) What is the area of the regular pentagon?
3.)What is the length of the apothem in this regular pentagon ?
On solving the provided question, we can say that - the each angle of pentagon is x = 108
what is a pentagon?A pentagon is a polygon with five sides that is used in geometry. The inner angles of a straightforward pentagon add up to 540°. Simple or self-intersecting pentagons are both possible. A pentagram is a self-intersecting regular pentagon. Five angles and all sides of a regular pentagon are equal. It is referred to as an irregular pentagon if the side lengths and angle measurements do not match. All outside angles, as far as we are aware, balance out inside angles. The polygon's exterior angle total is therefore equal to n(360°/n). There are five sides to a pentagon, therefore n must equal five. Consequently, 5(360°/5) = 360° is the sum of the pentagon's outer angles.
since all sum of pentagon is 540
so, 5x = 540
x = 108
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Two cards are chosen at random from a standard 52-card deck. What is the probability that the first card is a heart and the second card is a 10
The probability that the first card is a heart and the second card is a 10 is 1/51.
What is the probability?Probability with Replacement is used for questions where the outcomes are returned to the sample space again. This means that once the item is selected, it is replaced in the sample space, so the number of elements of the sample space remains unchanged.
The following combinations are possible:
When we choose first card, total no. of card is 52 and card of heart is 13
so the probability of the first card to be heart is
P(1)= 13/52
= 1/4
When we choose second card, total no. of card is 51 and card of 10 is 4
so the probability of the first card to be 10 is
p(2)= 4/51
So the final probability is
= P(1)* P(2)
= 1/4 * 4/51
= 1/51
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Rewrite the expression (2t+6)+7t in the simplest form show your work.
Answer:
14t²+42t
Step-by-step explanation:
So you're basically going to use distributive property.
(2t+6)+7t is the same as, (2t)7t + 6(7t).
2t(7t)= 14t² and 6(7t)= 42t.
Combine the two answers and you get 14t²+42t.
14t²+42t is the simplest form you can get to.
help! how do I do this??
Answer:
15 ft
Step-by-step explanation:
Using sinus law
sin(A) /a = sin(B) /b = sin(C) /c
Where smale letters indicate the sides
For this question :
(sin(90)*12)/sin(53)=15
Answer:
9.58
Step-by-step explanation:
Sin=opposite/hypotenuse
sin53=12/length of slide
Length of slide=12sin53
=9.58
hey! can y’all help with this?
Answer:
11
Step-by-step explanation:
Answer:
A) [tex]\sqrt21[/tex]
Step-by-step explanation:
First you have to plug in the numbers into the Pythagreom Theroum:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]\sqrt{5} ^{2} +4^{2} =c^{2}[/tex]
(C represents you hypotnuse)
Then you square the numbers:
5 + 16 = [tex]c^{2}[/tex]
(If your confused why [tex]\sqrt5^{2}[/tex] just came out to be 5, the square and the square root cancel each other out)
Then you add the numbers:
21 = [tex]c^{2}[/tex]
Then you sqaure root both sides to cancel out the [tex]c^{2}[/tex]:
c = [tex]\sqrt21[/tex]
The cafeteria sold 8 more turkey sandwiches than ham sandwiches. They sold 12 sandwiches in all. How many turkey sandwiches did the cafeteria sell?
Answer:The cafeteria sold 2 Ham sandwiches and 10 Turkey sandwiches
Step-by-step explanation:
Let the number of Ham sandwiches be rep as x
and turkey sandwiches be x+8
such that the equation to solve the question since total amount of sandwiches sold is 12 becomes '
x + x+8=12
2x+8=12
2x=12-8=44
x=4/2=2
Therefore number of ham sandwiches sold is 2
and number of turkey sandwiches sold is x+8=2+8=10
Select ALL the equations where a = 5 is a solution.
Group of answer choices
a + 10 = 14
4 = 20 ÷ a
13 + a = 18
36 = 5a
a - 5 = 0
What type of triangle is 35 55 90?
35-55-90 is a right-angle triangle because one of the angles is 90 degrees.
The explanation for a right triangle says that if one of the angles of a triangle is a right angle - 90º, the triangle is called a right-angled triangle or simply, a right triangle.
The right triangle formula can be presented in the following way: The square of the hypotenuse is equal to the sum of the square of the base and the square of the altitude.
In a right triangle we have: (Hypotenuse)² = (Base)² + (Altitude)²
Properties of Right Triangle:
The largest angle is always 90º.The longest side is called the hypotenuse which is always the side opposite to the right angle.The measurements of the sides obey the Pythagoras rule.It cannot have any obtuse angle.Read more about the right-angle triangle:
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HELP!!!
Marta bakes 3 types of cake: chocolate, fruit, and sponge. The recipe for each cake includes flour and sugar and she uses 3.3kg of flour and 3.1kg of sugar in total.
Each chocolate cake uses 225 g of flour and 300g of sugar
Each fruit cake uses 320g of flour and 250g of sugar
Each sponge cake uses 400 g of flour and 325g of sugar
Marta sells chocolate cakes for $12, fruit cakes for $10, and sponge cakes for $8 and makes a total of $114
How many of each cake does she make?
(Answer in the back of the book: 4 chocolate, 5 fruit, 2 sponge cakes)
The three equations for this problem are:
The total amount of flour used: 3.3kg = (225g/cake) * (number of chocolate cakes) + (320g/cake) * (number of fruit cakes) + (400g/cake) * (number of sponge cakes)The total amount of sugar used: 3.1kg = (300g/cake) * (number of chocolate cakes) + (250g/cake) * (number of fruit cakes) + (325g/cake) * (number of sponge cakes)The total revenue from sales: $114 = ($12/cake) * (number of chocolate cakes) + ($10/cake) * (number of fruit cakes) + ($8/cake) * (number of sponge cakes)Let's call the number of chocolate cakes x, the number of fruit cakes y, and the number of sponge cakes z
so the
first equation can be written as 3.31000 = (225x) + (320y) + (400z)second 3.11000 = (300x) + (250y) + (325z)and third one 114 = (12x) + (10y) + (8*z)let's use the third equation to get the value of x,y and z:
x = (114 - 10y - 8z) / 12y = (114 - 12x - 8z) / 10z = (114 - 12x - 10y) / 8If you get the values and substitute, then the answer would be:
4 chocolate cakes, 5 fruit cakes, 2 sponge cakes
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Help me plz I’ll give brainliest and this also worth 25 points
Answer:
there r more students who way 60-69 kilograms and there r less students who way 90-100 kilograms
Step-by-step explanation:
What number must be added to the expression below to complete the square? x²-7x
O A. 7/2
O B. -7/2
O C. -49/4
O D. 49/4
Answer:
D. 49/4
Step-by-step explanation:
Complete the square by squaring half the coefficent of the x term
(-7/2)² = 49/4