A farmer plants a 16-foot row of tomatoes 13-foot row of carrots and a 21-foot row of green peppers in a triangle find the angle formed by the tomatoes and carrots
Answers
Answer:
The angle between tomatoes and carrots is 92.2°, approximately.Step-by-step explanation:
As you can observe in the image attached, the triangle formed is scalene, which means we need to use the law of cosines to find the answer.
[tex]p^{2} =c^{2} +t^{2} -2(c)(t)(cos\theta)[/tex]
Where [tex]p[/tex] is green peppers, [tex]c[/tex] is carrots, [tex]t[/tex] is tomatoes and [tex]\theta[/tex] is the angle between tomatoes and carrtos.
Replacing all given values, we have
[tex]21^{2} =13^{2} +16^{2} -2(13)(16)(cos\theta)\\441=169+256-416cos\theta\\441-169-256=-416cos\theta\\\frac{16}{-416}=cos\theta\\ \theta=cos^{-1}(\frac{1}{-26} ) \approx 92.2\°[/tex]
Therefore, the angle between tomatoes and carrots is 92.2°, approximately.
Related Questions
you and your friend are walking through town. there is a building making a 90 degree angle with the ground and you are standing 40ft away looking up and a 30 degree angle. how tall is the building?
Answers
Answer:
tan 30 = height of building / 40
height = 40 × 1/√3=40/√3
or = 23.1 feet
What are the coordinates of point K?
(-
)
()
Answers
Answer:5/8 and 1/4
Step-by-step explanation:
The coordinates of point K can be given by (-1/4, 5/8).
What are cartesian coordinates?Cartesian coordinates are the values on a graph that can be used to show the location of a point on the graph.
The coordinates of point K can be found as follows:There are 4 lines between 0 and -1 on the x-axis which divide it into 4 equal parts.
Point K lies on the first line. This means that the x-coordinate of the point is -1/4.
There are 8 lines between 0 and 1 on the y-axis which divide it into 8 equal parts.
Point K lies on the fifth line. This means that the y-coordinate of the point is 5/8.
From this, we can understand that the coordinates of the point K on the graph can be given by (-1/4, 5/8).
Therefore, the coordinates of point K can be given by (-1/4, 5/8).
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pls help will mark as brainliest
Answers
Answer:
i think is B.
Step-by-i step explanation:
Answer:
I may be wrong, but I believe it is 4/6 = 6/9. I am so so so sorry if it is wrong.
Step-by-step explanation:
Using the matrix solver on your calculator, find the solution to the system of
equations shown below.
2x - 4y = 4
x - 2y = 8
Answers
Answer:
x = 5
y = - 3/2
Step-by-step explanation:
[tex]\left \{ {{2x-4y =4} \atop {x-2y=8}} \right.[/tex]
The augmented matrix is :
[tex]\left[\begin{array}{ccc}2&-4&4\\1&-2&8\\\end{array}\right][/tex]
Now; to Row operations
Swap row 2 to row 1
[tex]\left[\begin{array}{ccc}1&-2&8\\\\2&-4&4 \end{array}\right][/tex]
Multiply row 1 with 2 and add to row 2 ;
1(2) = 2
-2(2) = -4
8(2) = 16
2 +2 = 4
4 +(-4) = 0
16+ 4 =20
Now; we have:
[tex]\left[\begin{array}{ccc}1&-2&8\\\\4&0&20 \end{array}\right][/tex]
changing row 2 back to equation form:
4x + 0y = 20
4x = 20
x = 20/4
x = 5
substituting x = 5 in row 1
x - 2y = 8
5 - 2y = 8
-2y = 8 -5
-2y = 3
y = - 3/2
Please help! Its one of my last! Please include steps as well since i have to show work. I will give brainliest.
Answers
Answer:
600 sq mm
Step-by-step explanation:
I divided the shape into 2 shapes and found each shapes area and after that added both of its area to find the area of the above shape
area of rectangle= b x h
so, 15x30=450mm (square)
area of triangle= b x h (divided) 2
so, 10x30=300 (divided) by 2
= 150mm (square)
so, 450 (plus) 150= 600mm (square)
Find the measure of the given arc in Circle C.
Answers
Answer:
AE=90°
AED=140°
DBA=220°
Mr. Smith plans to build a 3-foot-wide walkway
around the outside of the cabin, as shown in the floor
plan. What will be the area, in square feet, of the top
surface of the walkway?
A. 171
B. 324
360
396
720
Answers
Answer:
360
Step-by-step explanation:
The area of the top surface of rectangular cabin walkway is given by the equation A = 360 feet²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangular cabin be represented as A
Now , the initial length of the cabin = 30 feet
The initial width of the cabin = 24 feet
And , Mr. Smith plans to build a 3-foot-wide walkway around the outside of the cabin
So , the increased length of the rectangular cabin = 30 + 6 = 36 feet
The increased width of the rectangular cabin = 24 + 6 = 30 feet
Now , Area of Rectangle = Length x Width
Substituting the values in the equation , we get
Area of rectangular cabin A = 36 x 30
Area of rectangular cabin A = 1080 feet²
Now , the area of the cabin before increment of sides = 24 x 30
The area of the cabin before increment of sides = 720 feet²
So , the area of the walkway = 1080 - 720 = 360 feet²
Area of rectangular cabin walkway A = 360 feet²
Hence , the area of the rectangular cabin walkway is 360 feet²
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You open your first interest-bearing savings account with an initial deposit of
$2,500. Interest is compounded quarterly at a rate of 3.5%. Assuming you do not
deposit any more money into the account, how much money will you have in the
account after 5 years?
Answers
Answer:
$2,975.85
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
P = initial balance
r = interest rate (decimal)
n = number of times compounded annually
t = time
First, change 3.5% into a decimal:
3.5% -> [tex]\frac{3.5}{100}[/tex] -> 0.035
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:
[tex]A=2,500(1+\frac{0.035}{4})^{4(5)}[/tex]
[tex]A=2,975.85[/tex]
After 5 years, the account will have $2,975.85
Given these what is X if B-X=A
Answers
Answer:
B
Step-by-step explanation:
B-X=A
or
B-A=X
or
X=B-A
[tex]X=\left[\begin{array}{ccc}-5&-1&6\\4&1&2\\0&-3&2\end{array}\right] -\left[\begin{array}{ccc}-1&-2&3\\4&8&-6\\0&1&5\end{array}\right] \\=\left[\begin{array}{ccc}-5+1&-1+2&6-3\\4-4&1-8&2+6\\0-0&-3-1&2-5\end{array}\right] \\=\left[\begin{array}{ccc}-4&1&3\\0&-7&8\\0&-4&-3\end{array}\right][/tex]
Answer:
answer is B
Step-by-step explanation:
Points A, B, and C are plotted on the unit circle.
Which of the coordinates is equal to cos(160)?
Answers
Answer:
Point B is equal to cos(160)
Step-by-step explanation:
160 deg is 160 deg counter-clockwise angle from +x-axis.
Hope this helps!
:)
Answer:
x coordinate of point B
Step-by-step explanation:
yw
The radius of a circle is 11.4 cm. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Answers
Answer:
71.60 cm
Step-by-step explanation:
To round 71.63 to the nearest tenth, consider the hundredths value of 71.63, which is 3 and less than 5. Therefore, the tenths value remains 6 and you get rid of the 3 since it is less than 5.
Answer:
the circumference is 71.63 but that number rounded to the nearest tenth is 71.60 cm. when a number is rounded to the nearest tenth in a decimal the last two numbers are rounded. because 3 is less than five then that means we turn it into a zero then we get 71.60
Step-by-step explanation:
2. An advertiser wants to find convincing evidence that television viewers
remember more than 4 commercials, on average, after watching a 30 minute TV
program. They take a random sample of 100 television viewers and ask them
how many commercials they could remember after watching a 30 minute TV
program. The appropriate t-test was conducted, which resulted in a P-value of
0.15. Assuming all conditions were met, which of the following is an appropriate
conclusion?
(A) Because the P-value is less than 0.05, at the 5% significance level, there is not
convincing evidence that television viewers remember more than 4 commercials, on
average, after watching a 30 minute TV program.
(B) Because the P-value is greater than 0.05, at the 5% significance level, there is
convincing evidence that television viewers remember fewer than 4 commercials, on
average, after watching a 30 minute TV program.
(C) Because the P-value is greater than 0.01, at the 1% significance level, there is not
convincing evidence that television viewers remember more than 4 commercials, on
average, after watching a 30 minute TV program.
(D) Because the P-value is greater than 0.01, at the 1% significance level, there is
convincing evidence that television viewers remember exactly 4 commercials, on
average, after watching a 30 minute TV program.
(E) Because the P-value is less than 0.01, at the 1% significance level, there is convincing
evidence that television viewers remember fewer than 4 commercials, on average, after
watching a 30 minute TV program.
Answers
Answer:
C
Step-by-step explanation:
(10 points!!) help please
Answers
Answer:
66
Step-by-step explanation:
what is the value of x?
Answers
Answer:
you need a d/protector to do this
Step-by-step explanation:
Which expression is equal to 420−−√−345−−√?
115√
−115√
5√
−5√
Answers
Answer:
[tex]-\sqrt{5}[/tex]
I hope that this helps anyone in the future! I took the test and got a good grade thanks to the anwser above
A cone has a height of 7 ft and a radius of 4 ft. Which equation can find the volume of the cone?
v=5x(72)(4) 4°
v-}*(417)
V = 38(72)(4) ft
V = 3x(42)(7)
Answers
V = one-third pi (4 squared) (7) feet cubed
Step-by-step explanation:
Volume of cone v = 1/3×π(r²h)
r = 4 and h = 7
V = 1/3 × π(4²×7)
So B
Sabrina has a rug with a perimeter of 18 feet. She decides to place a border around the rug so that the new length of the rug is 8 feet and the width is 4 feet. The border is the same width all the way around. A rectangle has a length of 8 feet and width of 4 feet. The equation which represents x, the width of the border is 2 (8 minus 2 x) + 2 (4 minus 2 x) = 18. What is the width of the border? Three-fourths ft 1 and one-half ft 1 ft 3 ft
Answers
Answer:
3/4 ft.
Step-by-step explanation:
2(8-2x)+2(4-2x)=18
16-4x+8-4x=18
-8x=18-24
-8x=-6
x=-6/-8
x= 3/4
The width of the border is 3/4.
What is perimeter of rectangle?The perimeter of rectangle is, P= 2(l + b).
Given:
length= 8 feet, width = 4 feet
2(8-2x)+2(4-2x)=18
16-4x+8-4x=18
-8x=18-24
-8x=-6
x=-6/-8
x= 3/4
Hence, the width of the border is 3/4.
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Miguel worked 5 days last week. If he worked 7.2 hours on average each day, how many hours did he work for the week?
Answers
7.2*5=36 hours total
Find the total surface area of the prism
Answers
Answer:
217 sqft
Step-by-step explanation:
the total area can be divided into 6 parts:
2 triangles, 2 rectangles(height 5, length 8) and 2 rectangles(height 7, length 8)
Therefore the area can be calculated as :
2* (1/2* 5*5) + 2*5*8+2*8*7 = 217 sqft
ASAP!!
consider the diagram below.
which of the following is the value of x?
a- 2
b- 11
c- 20
d- 29
Answers
Angles 45 and six are equal and that makes them equally the top half is the same as the bottom half so you know that a straight line is 180 degrees 180-45 is 135 and the angle is question is 5x+ 35 5(20)+35= 135
Answer:
(CHOICE C)
X= 20
Step-by-step explanation:
SOLVE FOR X AND USE 45* ANGLE FOR HELP.
On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram 2 has points (2, 0), (4, negative 6), (2, negative 8), and (0, negative 2).
How do the areas of the parallelograms compare?
The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2.
The area of parallelogram 1 is equal to the area of parallelogram 2.
The area of parallelogram 1 is 2 square units less than the area of parallelogram 2.
Answers
Answer:
The answer is: A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
Step-by-step explanation:
Hope this helped :)
Answer:
A
Step-by-step explanation:
Can someone help me find the evaluation for #20 I need to show my work
Answers
y=|x| (What is the range of this function?)
Answers
Answer:
Any number both positive or negative.
y = {all numbers}
Step-by-step explanation:
Answer:Any number both positive or negative.
Step-by-step explanation:y=(all numbers)
ก
Name the natural regions in Texas.
Answers
Answer:
the Gulf Coastal Plains, the Great Plains, the North-Central Plains and the Basin and Range.
Step-by-step explanation:
Choose all of the terms that can be used for x in a function.
Answers
Answer:
Eg.y=3x
Step-by-step explanation:
Answer:
Eg.y=3x
Step-by-step explanation:
given that DEF XYZ , what is the measure of z? brainly
Answers
Answer:
77
Step-by-step explanation:
So first off, we know that those two triangles are congruent triangles, so those have the same measures. All angles have the same measures. We also know that all angles equal to 180 degrees.
So imagine putting them together:
So then you do 57+ 46=103
180-103=77
Hence the measure of z is 77 degrees
last month he sold 50 chickens and 30 ducks for $550. this month he sold 44 chickens and 36 ducks for $532. how much does a chicken cost and how much does a duck cost ?
Answers
Answer:
cost of one chick:$8 Cost of one duck:$5
BRAINLIEST WILL BE GIVEN!!! HURRY!
What is the surface area of the entire sculpture? Use 3.14 for π.
*Surface area of the entire sculpture = Surface area of the cube - Surface area of the two circles + Curved surface area of the cylinder
*Surface area of the cube = 6s² (6 x side x side)
*Surface area of the two circles = 2πr² (2 x 3.14 x radius x radius)
*Curved surface area of the cylinder =2πrh (2 x 3.14 x radius x height)
Answers
Answer:
717.75cm ^2
Step-by-step explanation:
6(10)(10)= 600
2(3.14)(2.5)(2.5)= 39.25
2(3.14)(2.5)(10)= 3.14(5)(10)= 157
600-39.25+157= 717.75
Evalaute the expression 3x + (z+2y)-12, if x=3, y=8 and z=5
please help rn
Answers
Answer:
18
Step-by-step explanation:
3x + (z + 2y) - 12, if x = 3, y = 8 and z= 5.
3*3 + (5+2*8) - 12
9 + (5 + 16) - 12
9 + 21 - 12
30 - 10 - 2
20 - 2
18
Answer:
18
Step-by-step explanation:
First what you would do is plug in the numbers.
3x3+(5+2x8)-12
Then you would multiply 2 times 8 and get 16. Then add 16 and 5 and get 21.
3x3+(21)-12
Then you add 3 times 3 and get 9.
9+21-12
Then you solve left to right. Then you add 9 and 21 and get 30. Last you subtract by 30 by 12 and get 18.
Which is the better buy: one gallon of orange juice for $2.72 or four quarts of
orange juice at $0.48 per quart?
Answers
0.48 per quart is better
Step-by-step explanation:
0.48x4=1.92 < 2.72
