Mr. Greenjeans wants to make a triangle shaped garden. Two sides of the garden are 52 meters and 90 meters. The angle between these two sides is 102º. What is the area of the garden?
Answer:
[tex]Area = 2288.754m^2[/tex]
Step-by-step explanation:
The given parameters can be represented as:
[tex]A = 52m[/tex]
[tex]B=90m[/tex]
[tex]\theta = 102^{\circ}[/tex]
Required
Determine the area of the garden
Provided that [tex]\theta[/tex] is between A and B, the area is:
[tex]Area = \frac{1}{2}AB sin(\theta)[/tex]
Substitute values for A, B and [tex]\theta[/tex]
[tex]Area = \frac{1}{2}AB sin(\theta)[/tex]
[tex]Area = \frac{1}{2} * 52 * 90 * sin(102)[/tex]
[tex]Area = \frac{1}{2} * 52 * 90 * 0.9781[/tex]
[tex]Area = \frac{52 * 90 * 0.9781}{2}[/tex]
[tex]Area = \frac{4577.508}{2}[/tex]
[tex]Area = 2288.754[/tex]
Hence, the area of the garden is [tex]2288.754m^2[/tex]
Select all the correct answers.
Which expressions are equivalent to the given expression?
740
4/10
0402
2v10
0 1602
578
Answer:
4/10
Step-by-step explanation:
Pls help and show workings
Due ASAP
Answer:
ASA angle side angle
Step-by-step explanation:
DE=JH(given)
angle E= angle H (given)
angle D=angle J (given)
Which is the radian measure of central angle KOL? StartFraction 3 pi Over 8 EndFraction radians StartFraction 3 pi Over 4 EndFraction radians StartFraction 7 pi Over 8 EndFraction radians StartFraction 13 pi Over 5 EndFraction radians
The above question is incomplete.
Complete Question
Minor arc KL measures 135°. Circle O is shown. Line segments K O and O L are radii. Which is the radian measure of central angle KOL?
a) StartFraction 3 pi Over 8 EndFraction radians
b) StartFraction 3 pi Over 4 EndFraction radians
c) StartFraction 7 pi Over 8 EndFraction radians
d) StartFraction 13 pi Over 5 EndFraction radians
Answer:
b) StartFraction 3 pi Over 4 EndFraction radians
Step-by-step explanation:
Minor arc KL measures 135°. Circle O is shown. Line segments K O and O L are radii.
Note that:
π radians = 180°
Therefore,
180° = π radians
135° = x
Cross Multiply
180° × x = 135° × π radians
x = 135° × π radians/180
x = 3π/4 radians
Therefore, the radian measure of central angle KOL is 3π/4 radians. Option b) is the correct option.
Answer: B
Step-by-step explanation:
Good morning everyone! I have a tricky math question here, and was wondering if any of you can solve it. Have a great day! :D
Solve it considering correct order of operations:
9 - 3 ÷ 1/3 + 1 = Division first9 - 3 × 3 + 1 = Multiplication first9 - 9 + 1 = Subtraction is same priority with addition 0 + 1 = Addition1 AnswerAnswer:
9 - 3 ÷ (1/3) + 1 = 1
Step-by-step explanation:
Given problem,
→ 9 - 3 ÷ (1/3) + 1
Let's solve the problem,
→ 9 - 3 ÷ (1/3) + 1
→ 9 - (3 × 3) + 1
→ 9 - 9 + 1
→ 9 - 8 = 1
Thus, the answer is 1.
Hiii! Good morning and I hope you are ok! Please help me here though!
The solution to the equation [tex]3^s[/tex] = 27 is s = 3.
To solve the equation [tex]3^s[/tex] = 27, we need to find the value of s that makes the equation true.
Since 27 can be written as 3³ (3 raised to the power of 3), we can rewrite the equation as:
[tex]3^s[/tex]= 3³
To solve for s, we can equate the exponents:
s = 3
Therefore, the solution to the equation [tex]3^s[/tex] = 27 is s = 3.
Learn more about Equation here:
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No solution, one solution, ims y=x+4 y=x+7
Answer:
no solution
Step-by-step explanation:
need help please thanks
Answer:
12 because 12/30 is equal to 40% and 2/5 is is equal to 40% too
Shani borrowed $5000 at an annual interest rate of 4% compounded yearly. William borrowed the same amount of money at an annual interest rate of 6% compounded yearly. How much more interest will William pay than Shani at the end of 3 years?
Answer: William will pay $ 330.76 more interest than Shani at the end of 3 years.
Step-by-step explanation:
Compound interest = [tex]P((1+r)^t-1)[/tex] , P= principal , r= rate of interest , t= time
Given: P = $5000 , t= 3 years
For Shani , r= 4% = 0.04
Compound interest = [tex]5000((1+0.04)^3-1)[/tex]
[tex]=5000(1.124864-1)\\\\=5000(0.124864)\\\\=\$\ 624.32[/tex]
For William, r= 6%= 0.06
Compound interest = [tex]5000((1+0.06)^3-1)[/tex]
[tex]=5000(1.191016-1)\\\\=5000(0.191016)\\\\=\$\ 955.08[/tex]
Difference = $ ( 955.08- 624.32)
= $ 330.76
Hence, William will pay $ 330.76 more interest than Shani at the end of 3 years.
nth term for 4, 11, 22, 37
express the ratio in it simplest form 65g:2kg
It took Ciera 24 minutes to drive 18 miles. It took chains of one hour to drive 46 miles. Who is driving at a faster rate?
Answer:
Ciera is driving at a faster rate.
Step-by-step explanation:
You calculate speed, by dividing distance by time.
So 18 divided by 24 is 0.75. That is Ciera's speed.
And then to calculate the other person/thing's speed you have to divide 46 by 60 minutes (equal to one hour). The speed calculates to 0.7666666667
Therefore, Ciera is driving faster.
Can someone please help me on these?
HALP ME
A student uses 12 quarts of paint in 34 hour. What is her usage rate in quarts per hour?
Answer choices :
38 quart per hour
23 quart per hour
34 quart per hour
32 quarts per hour
Answer:
23 quarts per hour
Step-by-step explanation:
Answer:
It will be 23 quarts!
Step-by-step explanation:
I took the test.
Please mark me as brainliest.
-KanaKittyKat
HELP PLEASEEEEEEEEEEEEEEE
Answer:
D. (4, 0) is to the right of the origin.
Step-by-step explanation:
Remember, if all the numbers are positive, it is graphed in the first quadrant.
x is on the horizontal line.
y is on the vertical line.
When writing coordinates, it is always set up as (x, y)
First Quadrant (I)
(+, +)
Second Quadrant (II)
(-, +)
Third Quadrant (III)
(-, -)
Fourth Quadrant (IV)
(+, -)
Which of the following best describes the equation below?
y = 8x + 15
A.
neither linear nor nonlinear
B.
both linear and nonlinear
C.
nonlinear
D.
linear
b) (8x3 + 27) = (2x + 3)
Answer:
x=-3/2
Step-by-step explanation:
this is under the assumption that 8x3 is an exponent
Answer:
x=3/2
Step-by-step explanation:
owing. b. Is 3 a factor of 34?
Answer:
No, 3 is not a factor of 34
Answer:
no
Step-by-step explanation:
34: 1,2,17,34
Determine the zeros of f(x) = 3x^2 – 10x – 8. (List them in
order from least to greatest, separated by commas. Enter any
fractions as a/b.)
Answer: The zeroes are -2/3 and 4
Step-by-step explanation: The factored form you get from this is (3x+2) and (x-4), set these equal to 0. x-4=0 and 3x+2=0.
The zeroes of the function in the order from least to greatest will be - 2/3 and 4.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The equation is given below.
f(x) = 3x² – 10x – 8
Then the zeroes of the function are given as,
f(x) = 0
3x² – 10x – 8 = 0
3x² – 12x + 2x – 8 = 0
3x(x – 4) + 2(x – 4) = 0
(x – 4)(3x + 2) = 0
x = 4, - 2/3
The zeroes of the function in the order from least to greatest will be - 2/3 and 4.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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Can somebody help me out with this ???
Answer:
not sure what it is but i mean good luck
Write and solve a system of linear equations that represent the situation. There are a total of 64 students in two clubs: xylophone and yo-yo. The xylophone club has 10 more members than the yo-yo club. How many members are in the xylophone club? How many members are in the yo-yo club?
Answer:
x + y = 64
x = 10 + y
Yo-yo = 27
Xylophone = 37
Step-by-step explanation:
Let :
Xylophone club = x
Yo - Yo club = y
Total members = 64
Xylophone club has 10 more members than yoyo
Hence,
x + y = 64 - - (1)
x = 10 + y - - (2)
Put x = 10 + y in (1)
10 + y + y = 64
10 + 2y = 64
2y = 64 - 10
2y = 54
y = 54 / 2
y = 27
From (1)
x + 27 = 64
x = 64 - 27
x = 37
Write an equation to model the problem containing an unknown number. Eight is the quotient of a number and five. This statement represents . The correct equation is .
Answer: This statement represents →A Division prolem
The correct equation is →8=n÷5
I Hop This Helped :)
Step-by-step explanation:
Answer:
Write an equation to model the problem containing an unknown number.
Eight is the quotient of a number and five.
This statement represents:
✔ a division problem
.
The correct equation is:
✔ 8 = n ÷ 5
Correct on Edge nuity 2021
if anybody interest in meet goo gl
Answer: .
Step-by-step explanation:
Which expression is equivalent to -2(3x + 5y)?
Answer:
-6x-10y
Step-by-step explanation:
Multiply -2 by everything in parenthesis
What is the value of the expression
Answer:
1/36
Step-by-step explanation:
6 to the second power is 6*6
Which is 36.
So:
1/36
Answer: 1/36
Step-by-step explanation:
Find the exact value using trigonometric identities.
What polygon is formed by
joining the points
(1, -1), (4, -1), (-1, -3),
and (7, -3)?
Answer:
Its a trapezoid
Step-by-step explanation:
Also you don't have to ask this on brainly
go to desmos its a free graphing calculator
Please mark me brainliest I'm doing a challenge
Pls help I need it can you answer this question for me
Evaluate 8^8/3 =
Answer:
256
Step-by-step explanation:
What is the area of a circle is the radius is 8
Step-by-step explanation: To find the area of the circle,
start with the formula for the area of a circle, which is [tex]A = \pi r^{2}[/tex].
Notice that our circle has a radius of 8 units.
So plugging into the formula, we have (π)(8 units)².
Now, (8 units)² is equal to 8 units × 8 units or 64 units².
So we have 64π units² which is an exact answer.
Someone help 100 points and marking brainliest
Answer:
ehh....130 is your answer alr bye
the answer to your question is 130
Can somebody please help me with this.!
Answer:
1260
Step-by-step explanation:
First you will need to find the amount of sides of the polygon:
(After looking it is 9)
Each angle of the side of a nonagon is 140 degrees.
Multiply by 9 since you can make 9 triangles:
140 x 9 = 1260