A rotating lawn sprinkler sprays water in a circular area of grass, as shown in the picture. The diameter of the circular area of grass is 16 ft.Which measurement is closest to the area in square feet that this sprinkler sprays with water?
The measurement that is closest to the area in square feet that this sprinkler sprays with water is 201.062 ft².
Area of Circle[tex]\rm{ Area\ of\ circle = \pi \times (radius)^2[/tex]Given to us,Diameter of the circular area of grass, d = 16 ft.,
The radius of the circular area of grass, [tex]r = \dfrac{Diameter}{2} = \dfrac{16}{2} = 8\ ft[/tex],
Area of sprinkler spraysArea in which the sprinkler sprays with water = Area of the circle
[tex]= \pi \times r^2\\= \pi \times 8^2\\=\pi \times 64\\= 201.0619\approx 201.062\ ft^2[/tex]
Hence, the measurement that is closest to the area in square feet that this sprinkler sprays with water is 201.062 ft².
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Help please with question 5-8, show the solution
For each of these problems, remember SOH-CAH-TOA.
Sine = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent
5) Here we are looking for the cosine of the 30 degree angle. Cosine uses the adjacent side to the angle over the hypotenuse. Therefore, cos(30) = 43/50.
6) We have an unknown side length, of which is adjacent to 22 degrees, and the length of the hypotenuse. Since we know the adjacent side and the hypotenuse, we should use Cosine. Therefore, our equation to find the missing side length is cos(22) = x / 15.
7) When finding an angle, we always use the inverse of the trigonometry function we originally used. Therefore, if sin(A) = 12/15, then the inverse of that would be sin^-1 (12/15) = A.
8) We are again using an inverse trigonometry function here. We know the hypotenuse, as well as the side adjacent to the angle. Therefore, we should use the inverse cosine function. Using the inverse cosine function gives us cos^-1 (9/13) = 46 degrees.
Hope this helps!
(Help please and thank you very much.)
If cat food is sold in 20 lb bags, what is the least number of bags of cat food needed for one year at this shelter, if 10 lbs of cat food is consumed per week?
Answer:
26 weeks!
Step-by-step explanation:
Hello there!
There are 52 weeks in a year, believe it or not! So, if 1 bag of food was 10 lbs, then it would be 1 bag of 10lbs x 52 weeks, so it would be 52 bags. However, we are dealing with 20 lb bags, which will last twice as long as the 10 lb bag! So, if 1 bag will last 2 weeks, and there are 52 weeks in a year, then it is weeks divided by number of weeks it takes to consume 1 bag, 52 divided by 2. 52 divided by 2 is 26.
So in 1 year, the shelter will need 26 bags of 20 lb cat food!
Hope I helped!
If you enjoyed my answer, I'd appreciate a rating and a Thanks!
What is the decimal value of 1/4?
Answer:
0.25
Step-by-step explanation:
2x+y=9 let x=3 what is y
Answer:
3
Step-by-step explanation:
Step 1:
2x + y = 9 Equation
Step 2:
2 ( 3 ) + y = 9 Input x
Step 3:
6 + y = 9 Multiply
Step 4:
y = 9 - 6 Subtract 6 on both sides
Answer:
y = 3
Hope This Helps :)
A store sells a shirt that is discounted by 10%. A coupon is used for an additional 10% off the discounted price.
What is the total percentage discount on the shirt? PLEASEEEE HELPPPP
Answer:20%
Step-by-step explanation: 10% because the shirt was already discounted and another 10% from the coupon
An expression is shown.
0.0082
Write an equivalent expression in scientific notation.
X 10
Answer:
8.2 × 10-3
Step-by-step explanation:
Uh I don't know the step by step but I know the exponent is a negative because the 0's are on the left and if they are on the right it is not negative.
HOPE THIS HELPS
50 POINTS
Help me plzz i need help with this it is due tomorrow
Answer:
5 cups
Step-by-step explanation:
hi! to find the sum of the soup mix, we have to add all the fractions together.
7/4 + 1/2 + 5/3 + 1/3 +1/4 + 1/2
we have to find a common denominator for each, which is the LCM of the denominators. this would be 12. let's change the fractions so we can add them up.
21/12 + 6/12 + 20/12 + 4/12 + 3/12 + 6/12
add the numerators and keep the denominators the same.
(21+6+20+4+3+6)/12
60/12
this simplifies to 5.
the total amount of soup mix is 5 cups.
Answer:
5 cups of soup mix
Step-by-step explanation:
Make all the denominators equal. The lowest common denominator is 12 so multiple the denominators with 4 by 3, 2 by 6, and 3 by 4.
[tex]\frac{7}{4} *3=\frac{21}{12}[/tex]
[tex]\frac{1}{2} *6=\frac{6}{12}[/tex]
[tex]\frac{5}{3} *4=\frac{20}{12}[/tex]
[tex]\frac{1}{3} *4=\frac{4}{12}[/tex]
[tex]\frac{1}{4} *3=\frac{3}{12}[/tex]
[tex]\frac{1}{2} *6=\frac{6}{12}[/tex]
Now that all the fractions have the same denominator you can add them all together.
[tex]\frac{21}{12} +\frac{6}{12} +\frac{20}{12} +\frac{4}{12} +\frac{3}{12} +\frac{6}{12}=\frac{60}{12}[/tex]
Then simplify the fraction to find out how many total cups of soup mix you have.
[tex]\frac{60}{12} =5[/tex]
5 cups of soup mix
Please help!!!
3(x – 10) = -9
Answer:
The answer is x = 7
Step-by-step explanation:
Divide each term by 3 and simplify. Move all terms not containing x to the right side of the equation.
Answer:
[tex]\huge\boxed{x=7}[/tex]
Step-by-step explanation:
In order to solve for x, our goal is to isolate it on one side of the equation. We can do this by reversing the equation.
Let's apply the distributive property on the left side:
[tex](3 \cdot x) + (3 \cdot -10) = -9\\\\3x-30=-9[/tex]
Add 30 to both sides:
[tex]3x - 30 + 30 = -9 + 30\\\\3x = 21[/tex]
Divide both sides by 3:
[tex]3x \div 3 = 21 \div 3\\\\x = 7[/tex]
So x = 7.
Hope this helped!
What kind of number does distance always represent?
Answer:
Step-by-step explanation:There are other kinds of numbers that can be graphed on the number line, too. ... which are natural numbers and which are whole numbers is to think of a “hole,” which can be represented by 0. ... Notice that distance is always positive or 0.
Select all ordered pairs that satisfy the function
(-3, -1)
(-2, -1)
0 (
33)
A student works for 80 hours each month and plans to work for 5 hours each day, but only on days when scheduled to work. The function / (d) - 80 -- 5d represents the number of
hours of work remaining for the month after working for d days.
Which statement is true?
A. The value of (4) is 20, and it represents the number of hours of work remaining for the month after working for 4 days.
B. The value of ? (4) is 20, and it represents the number of hours spent working over 4 days
C. The value of }(4) is 60, and it represents the number of hours of work remaining for the month after working for 4 days
D. The value of (4) is 60, and it represents the number of hours spent working over 4 days.
**pls help ASAP taking a test .
Answer:
C. The value of f (4) is 60, and it represents the number of hours of work remaining for the month after working for 4 days
Step-by-step explanation:
So 5 time 4 equals 20...!
80 minus 20= 60
The value of f (4) is 60, and it represents the number of hours of work remaining for the month after working for 4 days, which is the correct answer would be option (C).
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
A student works 80 hours per month and plans to work 5 hours each day, but only on days when work is planned. After working for d days, the function / (d) - 80 — 5d shows the number of hours of work remaining for the month.
⇒ f (d) = 80 - 5d ....(i)
According to option (C),
Substitute the value of d = 4 in equation (i),
⇒ f (4) = 80 - 5(4)
⇒ f (4) = 80 - 20
⇒ f (4) = 60
Thus, the value of f (4) is 60, and it represents the number of hours of work remaining for the month after working for 4 days
Hence, the correct answer would be option (C).
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Fill in the blanks 1. The degree of a linear equation is ? 2. The constant term has a degree ? 3. The solution of the equation ax + b = 0 is ? 4. If 2x - 3 = 0 then the value of x is ? 5. The value of x which satisfies the equation (- 8) = 2x + 4 is ? 6. The solution of the equation 10 - (x + 2) = 7x is ? 7. A linear equation in one variable has _________ solution ? 8. The sum of the two consecutive multiples of 10 is 210. The smallest multiple is 9. Convert the statement "adding 15 to 4 times x is 39" into an equation 10. Value of "S" in 1/3 + S = 2/5 is ?
Answer:
Step-by-step explanation:
A linear equation is of the form ax+b and the highest degree of x is 1. You can see that from the power of x which is 1.
The power of x is zero from the equating. It is not reflecting because anything raise to power if zero gives 1
To get the solution of the equation ax+b = 0
We will make x the subject of the formula
ax = -b
Divide both side's by a
ax/a = -b/a
x = -b/a
If 2x-3 = 0
2x = 0+3
2x = 3
2x/2 = 3/2
x = 3/2
Given -8 = 2x+4
2x = -8-4
2x = -12
x = -12/2
x = -6
A linear equation in one variable is known to have ONE solution. This is as demonstrated in the equation above, we cans see that the only solution is -6(just one solution)
Convert the statement "adding 15 to 4 times x is 39" into an equation 1
The product of 4 and x is 4x
Adding 15 to 4x will give
15+4x
If the resulting expression is equal to 39, the final equation will be;
15+4x = 39
10) given 1/3+S = 2/5, we are to find S
S = 2/5-1/3
S = 6-5/15
S = 1/15
Hence the value of S is 1/15
What is the midpoint of (5,5) and (-3,-5)t
Answer: (1,0)
Step-by-step explanation:
What is a possible step when solving for x? Select all that apply.
512x+23x=37
A. x = 37
B. x = 6
C. 37x = 6
D. 376x=37
E. 112x+23x=37
Using operations with fractions, it is found that the possible steps are:
B. [tex]x = 6[/tex].D. [tex]\frac{37x}{6} = 37[/tex]E. [tex]\frac{11}{2}x + \frac{2}{3}x = 37[/tex]The equation given is:
[tex]5\frac{1}{2}x + \frac{2}{3}x = 37[/tex]
The improper fraction can be written as:
[tex]5\frac{1}{2} = \frac{5\times 1 + 2}{2} = \frac{11}{2}[/tex]
Then:
[tex]\frac{11}{2}x + \frac{2}{3}x = 37[/tex]
Applying the least common multiple:
[tex]\frac{33x + 4x}{6} = 37[/tex]
[tex]\frac{37x}{6} = 37[/tex]
[tex]37x = 37 \times 6[/tex]
[tex]x = \frac{37 \times 6}{37}[/tex]
[tex]x = 6[/tex]
Hence, options B, D and E are correct.
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Find the accumulated value of an investment of $5,000 at 4.25% compounded monthly for 8 years. Round your answer
Answer:
$20,400.00
Step-by-step explanation:
so, they're paying 4.25% of $5,000 every month for 8 years.
well, first lets see how many payments were made.
8 x 12 = 96 payments
4.25% of 5,000 is 212.5
so 96 payments of $212.5 is...
$20,400.00
dang, that's a lot of money.
Stefan spends $6.50 on supplies for a lemonade stand and sells each cup of lemonade for $1.25. What is x, the number of cups of lemonade Stefan must sell to earn a profit of more than $50?
⊝
Stefan has a balance of $6.50 in his savings account and deposits $1.25 each week. What is x, the number of weeks Stefan must deposit $1.25 in order to have a balance of more than $50 in his savings account?
⊝
Stefan earns 1.25% interest on the balance in his checking account and has to pay a monthly charge of $6.50. What is x, the balance that Stefan must have in his checking account in order to have an ending balance greater than $50 after interest and fees?
⊝
Stefan charges $1.25 for gasoline plus $6.50 per hour for mowing lawns. What is x, the number of hours he has to mow lawns to earn more than $50?
Answer: 40
Step-by-step explanation:50/1.25
The height of each story of an office building is 9 3/4 feet. The height is measured from the ceiling to the floor. The building has three underground levels for parking. A car is parked two levels below ground. At what elevation are the car’s tires relative to the ground level? Assume the ground level is at zero feet.
A) -19 1/2 feet
B) -12 feet
C) 8 feet
D) 19 1/2 feet
please explane how??
Answer:
The correct answer is A) -19 1/2
Step-by-step explanation:
It’s all log base 10
I need help with all of them
Answer:
im not very sure what you marked off i cant really tell what it is in the middle of them
Choose the definition of the function
Answer:
answer is A
Step-by-step explanation:
Which table below represents a non-proportional relationship and why?
Answer:
A. B. C. D
(y = -10x) (y = 2.5x - 7) (y = 7/8x + 1) (y = 1.2x)
E.
(y = -5x - 8)
Step-by-step explanation:
Box #1. Is going with B
Box #2. Is going with E
Box #3. Is going with D
Box #4. Is going with A
Box #5. Is going with C
Hope this helps :)
Your generation will likely be most affected by these changes. Active or passive? HELP NEEDED ASAP WILL GIVE BRAINLIEST
Answer:
Passive
Step-by-step explanation:
Active voice means that a sentence has a subject that acts upon its verb. Passive voice means that a subject is a recipient of a verb's action.
This is a one step equation
Answer:
x = -23
Step-by-step explanation:
1st we can isolate x to get it by its self. so we have to subtract 8 on both sides. so now we get
x = -23
Brainiest would be appreciated
High Hopes^^
Barry-
A train travels 540 miles in 12 hours.
Complete the table to represent the situation.
Some $1.50 per oz spice and some $2.50 per oz are mixed to produce 20 oz of a mixture worth 1.90 per oz. How many oz of each should be used
Answer:
3 ounces of the seed and 7 ounces of the dried fruit.
Step-by-step explanation:
A truckload of plastic soda bottles was finely shredded at a recycling center. The plastic shreds were placed into 55-liter drums. What it the mass of the plastic shreds inside one of the drums in kg? Assume lowest density within the range.
Answer:
75,900 g
Step-by-step explanation:
m=d×v
(1.38g/cm^3) × (55,000)
The mass of the drum is 75.9 kg.
What is the mass of the drum?The mass of the drum is the product of the volume and density of the drum.
What are Arithmetic operations?Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
We have been given that the plastic shreds were placed into 55-liter drums.
We have to determine the mass of the plastic shreds inside one of the drums in kg.
Here density of the drum = 1.38g/cm³ and the volume of the drum = 55,000
The mass of the drum = (1.38g/cm³) × (55,000)
The mass of the drum = 75,900 g
The mass of the drum = 75.9 kg
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The following set of coordinates represents which figure?
(1, 1), (5,3). (7,7), (3, 5)
A)parallelogram
B)Rectangle
C)rhombus
D)Square
Si x² + 5x - 6 = 0 entonces los valores de x que satisfacen la ecuación son: / If x² + 5x - 6 = 0 then the values of x that satisfy the equation are:
a) 0,6
b) 6,-1
c) 3,2
d) -6,1
e) -3,-2
What’s planck length to the 8 power?
20x3² - 4 ) divided by 50
Evaluate the expression.
Answer:
2/5x^9−2/25
Step-by-step explanation: