Start with the formula for finding the area of a circle.
A=πr2
First, substitute the given information in the equation. You have the area and you know that pi is 3.14.
153.86=(3.14)r2
Next, divide the area by pi. This will help to get one step closer to figuring out the radius.
3.14)153.86¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Remember, when you divide decimals, to move the decimal two places in the divisor and the dividend.
314)15386¯¯¯¯¯¯¯¯¯¯¯¯¯¯
314)15386¯¯¯¯¯¯¯¯¯¯¯¯¯¯ 49− 1256 –––––––– 2826 − 2826–––––––0
So far, the answer is 49, but that is not the radius because r2 is on the right side of the equal sign.
49=r2
Then, you need to figure out which number times itself is equal to 49. You can figure this out by finding the factors of 49.
7×7=49
Now, you know that the radius is 7 inches because 7×7=49.
The radius is 7 inches.
Finally, to figure out the diameter, which is twice the radius, multiply the radius by 2.
7×2=14
The diameter is 14 inches.
hope this helps.
The radius covered by the tower will be 20 miles.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
Given that a cell phone tower services about 1,256sq. miles. The area of the circle will be calculated by the formula,
Area = πr²
1256 = π x r²
r² = ( 1256 / π )
r² = 400
r = √400
r = 20 miles
Hence, the radius of the circle will be 20 miles.
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What are 2 equivalent ratios for 7:4
Answer:
14:8 and 21:12
Step-by-step explanation:
Equivalent fractions are fractions that look different but hold the same value. In this case, 7:4 = 14:8 = 21:12
Answer:
14:8, 28:16
Step-by-step explanation:
This could be anything. Ratios are like fractions; as long as you make changes to both sides, it will equal the same thing. So for the two examples I put, I simply multiplied both sides by 2 for the first one, and 4 for the second one.
But, you could multiply it by whatever you want, even negative numbers and fractions. However, I wouldn't try to complicate it, if the question didn't ask me to. Just keep to the easiest equivalents to make your life easier.
Hope this helps :))
can I get help with this equation?(2√5-√6)(4√5-3√6)
Answer:
=58 - 10 (lil check thing) 30
Step-by-step explanation:
The area of a sector of a circle with a central angle of 6pi/5 rad is 31 km2.
Find the radius of the circle.
r =
km
Answer:
4.06 km
Step-by-step explanation:
The area of the sector of a circle is given by the formula ...
A = 1/2r²θ
Filling in the given information, we have ...
31 km² = 1/2(r²)(6π/5)
Solving for r gives ...
r² = (31 km²)(5/(3π)) ≈ 16.446 km² . . . . divide by the coefficient of r²
r ≈ 4.055 km . . . . . . take the square root
The radius of the circle is about 4.06 km.
im confused on this, anyone have an idea what they mean?
Answer:
This looks like the perimeter formula for a rectangle :)
Step-by-step explanation:
I could be wrong but i hope this helps
Larissa had 25 feet of ribbon. She equally divided
all the ribbon to make 8 bows for gift boxes. How
many feet of ribbon were used for each bow?
Answer:
3 feet of ribbon
Step-by-step explanation:
Simply divide 25 by 8. Then you get 3 feet with a remainder of 1.
If x = 6 and y= 4, evaluate the following expression:
3x^2 + 3xy + y^2
Answer:
plz refer the attachment
Answer:
3*6^2 + 3*6*4 + 4^2
18^2 + 72 + 4^2
324 + 72 + 16
412
Answer: 412
A grocery store bought yogurt for $2.20 per container and stored it in two refrigerators. During the night, one refrigerator malfunctioned and ruined 13 containers. If the remaining yogurt is sold for $3.94 per container, how many containers did the store buy if they made a profit of $105.38?
Answer:
96
Step-by-step explanation:
X be the total containers bought
Sales - cost = profit
4.08(X - 14) - 2.6X = 84.96
4.08X - 2.6X - 57.12 = 84.96
1.48X = 142.08
X = 96
Solve the following proportion for x
Answer:
x=500
Step-by-step explanation:
[tex] \frac{2}{3} = \frac{x}{750} \\ 3 \times x = 2 \times 750 \\ 3x = 1500\\ \frac{3x}{3} = \frac{1500}{3 } \\ x = 500 [/tex]
If f(x) = 3x + 2 and g(x) = 2x - 1, find gof(x).
Answer:
6x + 3 depending if i read it right
Step-by-step explanation:
if you mean
g(f(x)) then:
2(3x + 2) - 1
6x + 4 - 1
6x + 3
HURRY I'LL GIVE YOU BRAINLYST At lunch, Allan drank 2 pints of chocolate milk. How many fluid ounces is this equal to?
8 fl oz
16 fl oz
64 fl oz
32 fl oz
Answer:
32 flucold correct
Step-by-step explanation:
please mark me as brainlist please
Answer:
32 FL oz
Step-by-step explanation:
16 x 2 is 32
a man purchased a used car for $1000. He decided to sell the car for 20% above his purchase price. He could not sell the car so he reduced his asking price by 20%. If he sells the car at the reduced price, will he have a profit or a loss or will he break even?
Answer:
ok so they purchased price of the car is $1000 and the asking price will be 20% of $1000 so $1000 is a 100% so to get 20% of $1000 it will be 100% + 20% to get 120 percent so the asking price is 120 per cent of $1000 so 120 percent of $1000 is equals to 1200 dollars then you are told that he could not sell it by that price so he reduced it by 20% so this $1200 is 100% so he reduced it by 20% so it will be 100% - 20% to get 80% so this person sold his car at 80% so we will get 80% of $1200 and we will get $960 so he made a loss of $40
how to solve this w2-64= by facturing
Answer: (x+8)(x-8)
Step-by-step explanation:
hope this helped :)
When a country imports more than its exports,it has a(n)
When a country imports more than how much it gives, it has a trade deficit.
If p and q vary inversely and p is 29 when q is 16, determine q when p is equal to 116.
Answer:
q = 4
Step-by-step explanation:
given p and q vary inversely then the equation relating them is
p = [tex]\frac{k}{q}[/tex] ← k is the constant of variation
to find k use the condition p = 29 when q = 16 , then
29 = [tex]\frac{k}{16}[/tex] ( multiply both sides by 16 )
464 = k
p = [tex]\frac{464}{q}[/tex] ← equation of variation
when p = 116 , then
116 = [tex]\frac{464}{q}[/tex] ( multiply both sides by q )
116q = 464 ( divide both sides by 116 )
q = 4
5a x 3 x 2b
simpilist form???
Answer:
30a[tex]x^{2}[/tex]b
Step-by-step explanation:
When you simplify an expression, you're basically trying to write it in the simplest way possible. In the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do. For example, take this expression: 4 + 6 + 5.
Hope it helps!!!Brainliest pls!!!Write 7/10 as a sum of fractions two different
ways.
Answer:
0.70, 70/100 and 14/20
Step-by-step explanation:
hope this helps
Jodha wants to tip the pizza delivery person 20%. If the cost of the pizzas is $15.99, what would be a reasonable amount to tip?
Answer:
$3.20
Step-by-step explanation:
20%-> .20
15.99*.20
Answer:
$3.20
Step-by-step explanation:
divide 15.99 by 100
[tex]\frac{15.99}{100}[/tex]=0.1599
you now have 1%of the cost
multiply by 20 to get 20%
0.1599*20=3.198
round to 2 decimal places to get the amount he will tip
3.20
Distributive property of 9 times 28
Which graph represents the equation y = 1/3x +2
Answer:
No graph attached, but it would look like;
The y intercept (the line which meets the y axis) would be at positive 2,
it would then rise one and go over 3 to the right because they are both positive.
100 POINTS
The graph of f ′ (x), the derivative of f(x), is continuous for all x and consists of five line segments as shown below. Given f (0) = 6, find the absolute maximum value of f (x) over the interval [0, 5].
graph of line segments increasing from x equals negative 4 to x equals negative 3, decreasing from x equals negative 3 to x equals 0, increasing from x equals 0 to x equals 3, constant from x equals 2 to x equals 4 and decreases from x equals 4 to x equals 5. x intercepts at x equals negative 4, x equals 0, x equals 5
2
8
11
13
Evaluate the function below for x = 4.
F(x) = x3 + 2x^2 + 1
Given parameters:
x = 4
Function;
F(x) = x³ + 2x² + 1
Solution:
This is a function related problem.
A function shows the relationship between two sets usually a domain and its range.
For the given function;
F(x) = x³ + 2x² + 1
F(4) = 4³ + 2(4)² + 1
F(4) = 64 + 32 + 1 = 97
The value of the function is 97.
Answer: would be 97 :)
Step-by-step explanation:
Wendi is 6 years older than Zaviel. The sum of their ages is 30. Which of these systems of equations can be used to find Wendi's age (w) and Zaviel's age (z)?
The system of equations for the ages of Wendi and Zaviel can be obtained as x = y + 6 and x + y = 30 respectively.
What is a system of linear equations?A system of linear equations is a group of equations having same number of variables and degree.
For the n number of variables n number of equations are required.
On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.
Suppose the age of Wendi and Zaviel be x and y respectively.
Then, the equation for their age can be written as,
x = y + 6
And, the equation for the sum of ages is given as,
x + y = 30
Hence, the equations that represent the given case are x = y + 6 and x + y = 30 respectively.
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Photo question to ask
Answer:
$205,625
Step-by-step explanation:
Total is x, so
16% * x = 32,900
x = 32,900/0.16 = 205,625
A local bakery did a survey to determine if customers preferred glazed doughnuts or frosted doughnuts. They found the ratio of glazed to frosted was 8:5. If they surveyed 260 customers,which.proportion can be used to find the number of customers who preferred glazed, x?
Answer:
73
Step-by-step explanation:
because i said so
1. A point is a position, true or false
true true true true true true true
The theatre sold 52. Tickets to the concert at a price of 6 $ each use the distributive property to find the product of 6 x 562
52×3= 104×3=312 so its 312
If Tommy gets 9 more quarters, what fraction of the bank will be quarters?
ignore the writing (18)
Answer:
it will be 18/54 I hope this helps
What is an equation of the line that passes through the points
(
4
,
8
)
(4,8) and
(
−
2
,
−
7
)
(−2,−7)?
.
Answer:
[tex]y = \frac{15x + 30 - 42}{6} [/tex]
The attendance for a basketball team declined at a rate of 5% per game throughout a losing
season. 23,500 people attended the first game. How many people attended the 8th game?
Equation:
Answer:
Answer:
y=23,500
Step-by-step explanation:
General form for an exponential equation
y = ab^{x - h} + k y=ab
or
y = ab^x y=ab
Exponential growth and decay, when the quantity increases by a fixed percentage at regular intervals.
Exponential growth y = a(1 + r)^x y=a(1+r)
\because b = (1 + r) ∵b=(1+r)
Exponential decay y = a(1 - r)^x y=a(1−r)
x
\because b = (1 - r) ∵b=(1−r)
Where, a - initial value
r - decay or growth rate
x - Number of time intervals that have passed
Step 2: Set up an exponential equation from the given in formation
Given that:
Declined(Decay) rate r = 5% = 0.05
Players from the first game a = 23,500
Exponential decay y = a(1 - r)^x y=a(1−r)
x
y=23,500(1-0.05)^xy=23,500(1−0.05)
x
y=23,500(0.95)^xy=23,500(0.95)
x
Step 3: Build a table of values by evaluating the function at different x-values.
y=23,500(0.95)^xy=23,500(0.95)
If x = 0 then y = 23,500(0.95)^x y=23,500(0.95)
y = 23,500(0.95)^0 y=23,500(0.95)
y = 23,500 * 1 y=23,500∗1
y=23,500
Please help I need this done by 3 I don't wanna fail
Answer:
(x,y)= (x+4, y+6)
Step-by-step explanation:
The translation is right 4 up 6
Answer:sorry ave trobule with this but there is a app about it it is
Step-by-step explanation:
Scientific Notation Calculator rapid tables it helps alot