Answer:
5/9 acres
Step-by-step explanation:
3 1/3 areas is 10/3
1/6 of the land is covered with beets
[tex]\frac{10}{3} * \frac{1}{6} =\frac{10}{18}[/tex]
[tex]\frac{10}{18}[/tex] will simplify to [tex]\frac{5}{9}[/tex]
Hence the answer is 5/9 acres
Help, Help, Please
[tex] \sf find \: the \: value \: of \: \theta \: when \: \theta \: is \: acute\: angle[/tex]
[tex] \sf \cos^{2}(\theta) - \sin^{2}(\theta) =2-5 \cos(\theta) [/tex]
[tex]\text{note:explanation is a must}[/tex]
Answer:
θ = [tex]\frac{\pi }{3}[/tex] (60° )
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
cos²θ - sin²θ = 2 - 5cosθ
cos²θ - (1 - cos²θ) = 2 - 5cosθ
cos²θ - 1 + cos²θ = 2 - 5cosθ
2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )
2cos²θ + 5cosθ - 3 = 0 ← in standard form
(cosθ + 3)(2cosθ - 1) = 0 ← in factored form
Equate each factor to zero and solve for θ
cosθ + 3 = 0
cosθ = - 3 ← not possible as - 1 ≤ cosθ ≤ 1
2cosθ - 1 = 0
cosθ = [tex]\frac{1}{2}[/tex] , so
θ = [tex]cos^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex] ( or 60° )
Answer:
[tex] \huge \boxed{ \boxed{\blue{ { \theta = 60}^{ \circ} }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASlet's solve:[tex] \sf \: rewrite \: \sin ^{2} ( \theta) \: as \: 1 - \cos ^{2} ( \theta) : \\ \sf \implies \: \cos ^{2} ( \theta) - (1 - \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: remove \: parentheses \: and \: change \: its \: sign : \\ \sf \implies \: \cos ^{2} ( \theta) - 1 + \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: add : \\ \sf \implies \: 2\cos ^{2} ( \theta) - 1 = 2 - 5 \cos( \theta) [/tex][tex] \sf \: move \: left \: hand \: sides \: expression \: to \: right \: hand \: sides \: : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 5 \cos( \theta) - 1 -2 = 0[/tex][tex] \sf \: rewrite \: 5\cos( \theta) \: as \: 6 \cos( \theta) - \cos( \theta) : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 6 \cos( \theta) - \cos( \theta) - 3 = 0[/tex][tex] \sf \:factor \: out \: 2 \cos( \theta) \: and \: - 1 : \\ \sf \implies \: 2\cos ( \theta)( \cos( \theta) + 3 ) -1( \cos( \theta) + 3) = 0[/tex][tex] \sf \: group: \\ \sf \implies \: (2\cos( \theta) - 1) ( \cos( \theta) + 3 ) = 0[/tex][tex] \sf \: rewrite \: as \: two \: seperate \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) - 1 = 0\\ \cos( \theta) + 3 = 0 \end{cases} [/tex][tex]\sf add \: 1 \: to \: the\: first \: equation \: and \: substract \: 3 \: from \: the \: second \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) = 1\\ \cos( \theta) = - 3 \end{cases} [/tex][tex] \sf the \: second \: eqution \: is \: false \: \\ \sf because \: - 1 \leqslant \cos( \theta) \leqslant 1 \: \\ \sf but \: we \: can \: still \: work \: with \: the \: second \: equation[/tex]
[tex] \sf substract \: both \: sides \: by \: 2 : \\ \implies\frac{ 2\cos( \theta) }{2} = \frac{1}{2} \\ \implies\cos( \theta) = \frac{1}{2} \\ \therefore \: \theta \: = {60}^{ \circ} [/tex]a car accelerates from 25 km/hr to 55 km/hr in 30 seconds. what is its accelerates ?
Here's link to the answer:
tinyurl.com/wpazsebu
help me really plz!!!
Answer:
I have made it in above picture
For problem 5, use the ordered pairs to answer the following question. MUST SHOW YOUR WORK FOR FINDING SLOPE.
Answer:
graph them and then see if they intersect(but if you notice that the coordss of the second line are all smaller than the coords of the first line, meaning that they wont be touching at all)
Step-by-step explanation:
17. Write an equation in slope-intercept form for the line perpendicular to y = 3x - 9 that passes through the point (9,-9). Explain how you got your answer.
Answer:
y=-1/3x-6
Step-by-step explanation:
Perpendicular lines have slopes that are negative and reciprocal; if you multiply them together, the result is -1
so, to find the slope of the new line:
3m=-1
divide by 3
m=-1/3
the slope of the new line is -1/3
Slope-intercept form is written as y=mx+b, where m is the slope and b is the y intercept.
Here's our equation so far:
y=-1/3x+b
since the line passes through the point (9,-9), we can use it to solve for b
substitute into the equation:
-9=-1/3(9)+b
-9=-3+b
-6=b
b is -6
here's our equation
y=-1/3x-6
hope this helps! :D
Plz, answer this question plz!
Answer:
the second option im pretty sure
Answer:
4/48. I don't know for sure, but I think B is the correct answer
Whatis the area of the figure below? Write your answer in square feet.
15 ft.
8 ft.
Answer:
60ft²
Step-by-step explanation:
A=½l×w
=½×8×15
=60
a=960 rounded to the nearest 10
b=89.0 rounded to 1 DP
Find the minimum (to 2 DP) of a÷b
Step-by-step explanation:
a÷b=960÷89=10.78651685=10.79 or 17.8
Please help me. Find mQ, mR, and mS please
Step-by-step explanation:
since they are angles and there are three of them. Assume that they are part of a triangle. That is all I can do until you give more information about the problem. lmk down in the comments on the side length or whatever the problems asks for.
have a good day :)
Question 16
What is the slope of a line passing through (2, 2) and (3,5)?
5 because of slope equation
pls help .............
There are 12 girls at a slumber party. 2/3 of the girls brought a sleeping bag. How many girls brought a sleeping bag?
Answer:
8 girlies
Step-by-step explanation:
12/3=4
4x2=8
Answer:
8
Step-by-step explanation:
since there are 12 girls we have an x amount of girls who brought sleeping bags and 12-x for those who didn't. so
x/12=2/3
multiply both sides by 12
(x/12)12=(2/3)12
x=8
Hope that helps :)
write an equation of the line that passes through the given points (3,1) (0,10)
Answer:
y = -3x + 10
Step-by-step explanation:
10-1/0-3 = -3
y = -3x + b
1 = -3(3) + b
1 = -9 + b
10 = b
check your answer:
10 = -3(0) + 10
10 = 10
b should be 10
Law of Sines: Homework please help
Answer:
37+12 =49_218+54=4554472287/41
HELP PLEASE!! need this asap.
y = 4x + 3
y = -x - 2
Answer:pls check out the image. The answer is in the image ans hope this helps and can u give me brainliest
Step-by-step explanation:
Find the value of x that makes a||b. (2x+25) 55
Answer:
x= 50
Step-by-step explanation:
2x + 25 = 180 - 55
Given the equation of the line -6x + 2y = 10
Answer:
x= 1 /3 y+ −5 /3
y=3x+5
Step-by-step explanation:
brainliest?
Answer:
Give my man brainliest
Step-by-step explanation:
Don't report this
6) Brad's father asked an engineer to survey the field behind their house. He wanted to plant some orange and tangerine trees there. According to the survey, the field is thirty metres long and twenty-six metres wide. What is the perimeter of the field in kilometres?
Answer:
the perimeter of the field in kilometers is 112 km
Step-by-step explanation:
The computation of the perimeter of the field in km is shown below:
As we know that
Perimeter is
= 2(length + width)
= 2(30 + 26)
= 2 (56)
= 112 km
Hence, the perimeter of the field in kilometers is 112 km
What is the value of x
b is your correct answer hope help you
Julie works in a leisure centre. Part of her duties is to prepare personal fitness plans for her clients.
Her April payslip is only partially completed.
Name
Employee No.
Tax Code
Month
J. Bond
007
1060L
April
Basic Pay
Overtime Pay
Bonus
Gross Pay
£1,376
National Insurance
Income Tax
Pension
Deduction
£120.02
£130.98
Net pay
£
what's her gross pay
Answer:
Janelle is applying to work a full-time job next summer. So far, her only paid work experience has involved with babysitting. She's worried that she lacks the skills
£120.02
£130.98
£1,376
Complete the table of values for y = x2 – 2x.
(2 marks)
x – 2
-1 0 1
2
34
y
3 0
3
Submit Answer
Skip for Now
please fast
Answer:
8
-1
0
8
Step-by-step explanation:
Parallel lines cut by a transversal
Answer:
x=5
Step-by-step explanation:
Hello There!
The angle labeled 20x and the angle that has a measure of 80 degrees are supplementary angles meaning the sum of the two is 180
so we can create an equation to solve for x
180=80+20x
step 1 subtract 80 from each side
80 - 80 cancels out
180-80=100
100=20x
step 2 divide each side by 20
100/20=5
20x/20=x
we´re left with x=5
Triangle JKL is shown below.
K
24
L
28
Which equation should be used to find the
length of JK?
Find the smallest value of m such that the LCM of m and 34 is 374.
Answer:
11
first you use a number tree
34 374
/\ /\
2 17 2 187
/\
11 17
express the numbers in prime factors
374=2×11×17
34 =2×17
in finding LCM you use the highest prime factors in this case the highest prime factors are 2, 11 and 17
So m factors are 2 and 11
which means m is 2×11=22
22 in its smallest form is 11
STION 1
Michael Smith buys and sells lovebirds. He currently has 80 yellow birds and
120 green birds. The birds are equally divided into five cages.
1.1.1
How many lovebirds does Michael have in total?
1.1.2
How many birds are in each cage?
1.1.3
Write the ratio of yellow birds to green birds that Michael has.
Give your answer in simplest form.
Answer:
1.1.1- Michael has 200 lovebirds in total
1.1.2- There are 40 birds in each cage
1.1.3- 120/80 = 3/2
Step-by-step explanation:
120+80=200
200÷5=40
120÷40=3, 80÷40=2
Step-by-step explanation:
The picture below shows the food that Michael gives to his lovebirds. He gives Each cage every morning
Plz show work if ya can so I can understand this thanks
Answer:
area = 57√3 cm²
Step-by-step explanation:
lower polygon:
14-8 = 6, 6/2 = 3
3 is the base of the lower left triangle
cos 60° = 3/hypotenuse
hypotenuse = 6
height of triangle² = 6² - 3² = 45
height of triangle² = 36 - 9 = 27
height of triangle = √27 = √(9 x 3) = 3√3
area of lower polygon = 1/2(8+14)(3√3) = 33√3 cm²
upper parallelogram:
area = 8(3√3) = 24√3 cm²
total area = 24√3 + 33√3 = 57√3 cm²
Mrs. Vance buys 710 grams of strawberries.
She has 210 grams of strawberries left after making
5 glasses of strawberry smoothie.
How many grams of strawberries does she use for a glass?
How do you do it using a bar model
142 grams because 710 divided by 5 is 142 and she made 5 glasses with 710 grams.
if I'm wrong tell me I'll re do my equation
PLISS ANSWER :C DONT ANSWER IF YDK THAnKSSS
*also pls look at both images :)*
Answer:
First image: (6, -1)
2nd image: y = 63
Explanation:
1)
2x + y = 11
1/2x - 5y = 8
y = -2x + 11
1/2x - 5(-2x + 11) = 8
1/2x + 10x - 55 = 8
10.5x - 55 = 8
10.5x = 63
x = 6
2x + y = 11
2(6) + y = 11
12 + y = 11
y = -1
(x , y) = (6, -1)
2)
1/4(8y - 4.8) = 2 (0.9y + 5.4) + 3/5
2y - 1.2 = 1.8y + 10.8 + 0.6
0.2y - 1.2 = 11.4
0.2y = 12.6
y = 63
what is the exact value of cos5pie/12
Answer:
Exact Form: −e12
Decimal Form: −0.22652348…
Step-by-step explanation:
Between which two points can you draw a line with a negative slope? Pls answer quick
Answer:
Between A and C.
Step-by-step explanation:
A negative slope rises to the left (\).
Answer:
a line between a and c
Step-by-step explanation:
if you were to draw a line between point a and point c the slope would be [tex]-\frac{3}{4}[/tex]
