Answer:
168.24784 m²
Step-by-step explanation:
Area of the square:
28 x 28=784 sq. m.
Area of the circle:
π(r²)=π(14)²=196π
=615.75216
Area not covered by the sprinkler:
784-615.75216=168.24784 m²
Answer:
The sprinkler does not reach 168.56 m² of the field.
Step-by-step explanation:
Find the circular area sprayed by the sprinkler.
A = πr² Use the formula.
A = π(14)² Substitute. Use 14 for r.
A ≈ 3.14 × 14² Substitute. Use 3.14 for π.
A ≈ 3.14 × 196 Evaluate the power.
A ≈ 615.44 Multiply.
The area of the circular area is about 615.44 ft².
Find the area of the square field.
A = s² Use the formula.
A = 28² Substitute. Use 28 for s.
A = 784 Evaluate the power.
The area of the square field is 784 m².
Find how much of the field is not reached by the sprinkler. Subtract the circular area sprayed by the sprinkler from the area of the square field.
784 − 615.44 = 168.56
What is the solution to the system of equations below? 2. y=ģX-3 and x = -10 - O (-10,-7) O (-10,-1) O (-7, -10) O (-1,-10)
I need help with the answer can someone help me
Answer:
-2 -20
Step-by-step explanation:
Some doctors recommend that men drink 3 liters of water every day. There are approximately 29.6 milliliters in 1 fluid ounce. Which measurement is closest to the number of fluid ounces in 3 liters?
Jacob started a savings account with a 1% annual simple interest rate. His principal deposit was $147. He saved the money for 6 years. How much interest did he earn after 6 years?
Answer:
The interest Jacob earns after 6 years is $8.82
Step-by-step explanation:
The given parameters are;
The simple interest rate of the savings account, R = 1%
The principal deposit to the savings account, P = $147
The time duration Jacob saved the money, T = 6 years
The formula for simple interest, I, is given as follows;
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
Substituting the known values gives;
[tex]I = \dfrac{147 \times 1 \times 6}{100} = 8.82[/tex]
The interest Jacob earns after 6 years = $8.82.
An architect is trying different dimensions for the room shown below. Write an algebraic expression the architect can use to find the area of the room then find the area when x is 6 m. Show your work.
Answer:
x² + 12
48m²
Step-by-step explanation:
Find the diagram attached.
The room can be segregated into two rectangles
The area of the room = Area of bottom rectangle + area of the top rectangle
Area of the bottom rectangle = x * (x-3) = x² - 3x
Area of the top rectangle = 3* (4+x) = 12 + 3x
The area of the room = x² - 3x + 12 + 3x
Area of the room = x² + 12
Hence the algebraic expression that the architect can use to find the area of the room is x² + 12
Given x = 6m
The area of the room = x² + 12
The area of the room = 6² + 12
The area of the room = 36 + 12
The area of the room = 48m²
What is the least common multiple (LCM) of 5 and 9?
14
35
40
45
Answer:
35
Step-by-step explanation:
A pack of five basic solid T-shirts costs $29.95 in a store. The sales tax where they are sold is 7.75%. What is the unit cost of a t-shirt, the price per t-shirt, with tax included?
$5.99
$6.45
$6.75
$6.99
Answer:
6.45
Step-by-step explanation:
29.95+7.75%=32.27
32.27/5
6.45
1. The base of an open rectangular tank is 3.2 m by 2.8 m. Its height is 2.4 m. It contains
water to a depth of 1.8 m. Cal culate the surface area inside the tank that is not in conta
with water.
Answer:
16.64 m
Step-by-step explanation:
Subtract the depth of the water from the height of the tank (0.6) and use this measurement for height instead. then calculate l•h•2+w•h•2+l•w
(we multiplied the length and height and the width and height by two since there’s two sides with the same measurement for each)
Simplify:
12+(-38) + 27
A.-77
B. -53
C. - 1
D. 1
E 77
Answer: the answer is 1
Step-by-step explanation: just simplify it
math sucks ugh need more help
Answer:
3 is the correct answer
Step-by-step explanation:
I believe this is correct.
Hope this helps!
Answer:
3) the vertex is moved to the left 7 units
Step-by-step explanation:
When a number is inside the () and is being added or subtracted it goes to the opposite of the sign if it is + it goes left if it is - it goes right however with linear functions it is + right - left
Natalie walked 3\5 mile in 1\2 hour. How fast did she walk, in miles per hour?
Answer:
The answer is 6/5
Step-by-step explanation:
( 3 /5 )( 2 /1 )
(3)(2) /(5)(1)
6 /5
Hope this helps!
I will mark you
Given the relation: (0,0), (5,10), (6,12), (10,20) and based on the definition of function, is that relation a function?
Why or why not?
Answer:
Yes, because the x's do not have more than one y.
Step-by-step explanation:
x y
0 0
5 10
6 12
10 20
(That's meant to be a table). Looking at the x and y table values, you can see that none of the x's have two y's. So, this relation is a function.
Which measure describes how much a sample mean varies when different samples are chosen?
Step-by-step explanation:
the most common measure of how much sample mean differ from each other is the standard deviation of the sampling distribution of the mean. this standard deviation is called the standard error of the mean
Two farmers sell peanuts. The table and the graph below represent the two farmers where f(x) is the cost in dollars for x pounds of peanuts. What is the difference in the rate of change for the two functions
Answer:
number 2
Step-by-step explanation:
1. 3 cans of pudding costs $2.48 at Store A and 6 cans of the same pudding costs $4.50 at Store B. Which store has the better buy on these cans of pudding?
Answer:a
Step-by-step explanation:
Answer:
Store B because if you take 2.48 divided by 3 to figure out the cost per can aka one can it will be 0.826 repeating and that's for store A . While store B you take 4.5 divided by 6 to and get 0.75 per can so Store B is the best option since 0.75 is smaller than 0.826.
Grade 7 Unit 4 District Assessment 2020-21 Question: 1 Jacob saw a model of a building that will be built in his city. The model has a height of 40 centimeters and will be built to a scale of 1:50. What is the actual height of the building? (1 m = 100 cm)
Answer:
123334
Step-by-step explanation:
You have been working hard and saving money to buy your first used car - woo hoo! But you still need more money. (It's an expensive car!) You borrow $10,000 from the bank at a 9% rate for 5 years. How much interest will you pay on this loan? Write your answer as a number with no dollar sign.
Answer:
4500
Step-by-step explanation:
10000 x .09 x 5
Which property does this example show x + y + 0 = x + y
Answer: Identity Property of Zero
Find the x and y intercept of the line below
2x + 5y = 10
Answer:
x - intercept = 5
y- intercept = 2
Step-by-step explanation:
2x + 5y = 10
Write the equation in [tex]\frac{x}{a}+\frac{y}{b}=1[/tex] form
So, divide the equation by 10
[tex]\frac{2x}{10}+\frac{5y}{10}=\frac{10}{10}\\\\\frac{x}{5}+\frac{y}{2}=1[/tex]
x - intercept = 5
y- intercept = 2
Answer:
(5,0) and (0,2)
Step-by-step explanation:
Basically, all we need to do is enter 0 for both variables. We can do this because the y-value of an x-intercept will always be 0, and the x-value of a y-intercept will always be 0.
So, to find the x-intercept we can set y equal to 0 and then solve for x.
[tex]2x+5(0)=10\\2x=10\\x=5[/tex]
So the x-intercept will be (5,0).
We can do the same thing to find the y-intercept.
[tex]2(0)+5y=10\\5y=10\\y=2[/tex]
The y-intercept is (0,2)
Hope this helps!
Please give the code word and the method as to how you did it
Answer:
1. true 2. true 3. false 4. false 5. false
15 + 15 + 10 + 10 + 10 = 60/5 = 12 ( CODE WORD)
Step-by-step explanation:
1. There are different forms of linear equations. Slope intercept has it's equation y = mx + b
2. A proportional relationship has a constant rate of change.
ex: y =2x +5, then the rate of change is 2 and it only ever rises by 2.
3. A proportional relationship must pass through the origin in order to be a proportional relationship.
4. The variable M in slope-intercept form represents the slope. B represents the Y-intercept.
5. Standard form for a linear equation is Ax+By=C. Y = MX+B is slope-intercept form.
CODE WORD: 12 or Twelve is correct because 12 is the mean of all 5 answers.
What does 9+10 equal?
What happens when the smog lifts in Los Angles, California , (Please help me or just leave the answers in the Comments )
Answer:
gang wars
Step-by-step explanation:
Find the surface area of this cylinder using pie.
Answer:
Thus, the surface area of a cylinder involving pie is:
[tex]\:\:\:A=36\pi \:[/tex] in²
or
[tex]A\approx 113.1[/tex] in²
Step-by-step explanation:
Given
radius = r = 2 in height = h = 7 inUsing the formula to determine the surface area of a cylinder:
[tex]A=2\pi \:rh+2\pi \:r^2[/tex]
[tex]A=\left(2\times \pi \times \:2\times 7\right)+\left(2\times \pi \times \:2^2\right)\:[/tex]
[tex]\:\:\:A=36\pi \:[/tex] in²
Thus, the surface area of a cylinder involving pie is:
[tex]\:\:\:A=36\pi \:[/tex] in²
or
[tex]A\approx 113.1[/tex] in²
Solve one-step and two-step equations: word problems
Answer sorry
Step-by-step explanation:
i honestly don’t know the answer
The Kellam Booster Club made $1,638 selling tickets to the football games this season. A child's ticket costs $3 and they sold 120 of them. An adult ticket costs $9. How many adult tickets did they sell?
Answer:
They sold 142 adult tickets.
Step-by-step explanation:
120x3=360
142x9=1278
1278+360=1638
Molly rewrote the equation as shown:
-50 + 11 = 8 - 3d
-5d + 11 + 3d = 8 - 30 + 3d
Which property did she use to rewrite the equation?
O addition property of equality
o distributive property
O multiplication property of equality
O substitution property
Answer:
addition property of equality
PLEASE HELP ASAP DUE In 5 MINUTES
Noah bought a new car. It gets 21.7 miles per gallon
of gas on the highway. His gas tank is able to hold 14
gallons of gas. How many miles can Noah travel on the
highway on one tank of gas?
FIRST TO ANSWER GETS BRAINIEST
A drink recipe calls for prune juice and carrot juice. This equation represents the proportional relationship between the number of quarts of prune juice (p) and carrot juice (c) in the recipe. 4p = 12c. Enter the number of quarts of carrot juice used for 1 quart of prune juice.
Answer:
The number of quarts of carrot juice used is approximately 0.3333.
Step-by-step explanation:
The proportional relationship between the quarts of prune juice (p) and carrot juice (c) in the recipe is given as;
4p = 12c
Thus for 1 quart of prune juice, the quarts of carrot juice required can be determined by;
i.e p = 1
So that,
4 x 1 = 12c
4 = 12c
c = [tex]\frac{4}{12}[/tex]
= [tex]\frac{1}{3}[/tex]
= 0.3333
The number of quarts of carrot juice used is approximately 0.3333.
Please help!
What is the probability that the arrow will land on a number that is divisible by 3 ir Brian spins it one time?
Answer:
%25
Step-by-step explanation:
What is the gravitational PE of the same 61.2 kg person standing on the 6th floor (Each story is 2.5 m high)?
Answer: U is the change in PE, m is the mass raised through a distance h. So, given m = 61.2 kg, each 1 m rise is an increase of (61.2)(9.8) = 600 J. Likewise, each floor (2.5 m) represents a change in PE of 1500 J for this mass.