Answer:
r = 8 ft
Step-by-step explanation:
Area of a circle => πr²
We are told in the question that:
The area of circle Z is 64Pi ft²
= 64π ft²
What is the value of r
We equate
πr² = 64 π
r² = 64 π/π
r² = 64
We square root both sides.
√r² = √64
r =>8 ft
The radius of the given circle Z is 8ft which was solved using the area of the circle
Data;
Area = 64π ft^2radius = rArea of a CircleThe formula of area of a circle is given as
[tex]A = \pi r^2[/tex]
Let's substitute the values and solve
[tex]A = 64\pi\\A = \pi r^2 \\64 \pi = \pi r^2\\[/tex]
divide through by π
[tex]64\pi = \pi r^2\\\\64 = r^2\\[/tex]
Let's take the square root of both sides
[tex]r^2 = 64\\r = \sqrt{64} \\r = 8ft[/tex]
The radius of the circle Z is 8ft
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What is the missing value in the table below?
Answer:
11
Step-by-step explanation:
Choose the expression that shows P(X) = x3 + 5x2 + 11x + 10 as a product of two factors.
A. 2x(x2 + 3x + 3)
B. (x + 1)(2x2 + 3x + 6)
C. (2x + 3)(x2 + x + 2)
OD. (X + 2)(x2 + 3x + 5)
Answer:
D
Step-by-step explanation:
X3+3x2+5x+2x2+6x+10
Collect like terms
X3+5x2+11x+10
The correct expression that shows the P(X) = x³ + 5x² + 11x + 10 as a product of two factors will be;
⇒ (x + 2) (x² + 3x + 5)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ P(X) = x³ + 5x² + 11x + 10
Now,
Solve the expression for the factors as;
The expression is,
⇒ P(X) = x³ + 5x² + 11x + 10
Since, -2 is the solution of the expression.
Hence, (x + 2) is one of the factor of the expression.
So, Find the second factor by dividing the expression (x³ + 5x² + 11x + 10)
by (x + 2), we get;
x + 2 ) x³ + 5x² + 11x + 10 (x² + 3x + 5
x³ + 2x²
--------------
3x² + 11x
3x² + 6x
------------------
5x + 10
5x + 10
--------------------
0
Thus, The second factor = (x² + 3x + 5)
Therefore,
x³ + 5x² + 11x + 10 = (x + 2) (x² + 3x + 5)
Thus, The correct expression that shows the P(X) = x³ + 5x² + 11x + 10 as a product of two factors will be;
⇒ (x + 2) (x² + 3x + 5)
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What is the factorization of the polynomial below? 3х2 + 30x + 48
Answer:
3(x+2)(x+8)
Step-by-step explanation:
Answer:
[tex]3(x+8)(x+2)[/tex]
Step-by-step explanation:
[tex]3x^2 + 30x + 48 = 3(x^2 + 10x+ 16) = 3(x+8)(x+2)[/tex]
Find the common difference of the arithmetic sequence 8, 17, 26, 35,
Answer:
The answer is 9
Step-by-step explanation:
Which expression is represented by the model?
HELP PLS THIS IS DUE TODAY (I WILL BE MARKING BRAINLIEST)
Answer:
1) <
2) >
3) =
4) >
5) =
6)<
Find the median for each set of data. Round to the nearest tenth if necessary.
15, 42, 28, 32, 30, 34
A) 35
B) 37
C) 30
D) 31
Answer: The answer I got was D) 31
Step-by-step explanation:
Hope this helps!!!!!
what does it simply to please help
Answer:
x
Step-by-step explanation:
Answer:
lowest terms is 1/1. so it'll be 1
Step-by-step explanation:
Find the discriminant. (Must Show Work)
x^2+4x+4=0
Answer:
0
Step-by-step explanation:
discriminant,b2-4ac
=4^2-4×1×4
=16-16=0
Answer this question to get marked as brainliest!!!
HELPPP!! CLICK ON PICTURE!!
Answer: 84.5 units^2
Sides are 13 since the hypotenuse is 13\sqrt{2}.
Area of Triangle: 1/2 b x h
1/2 13 x 13 = 84.5
determine two pairs of polar coordinates for the point (4, -4) with
Answer:
(4√2cos 135, 4√2sin135)
Step-by-step explanation:
determine two pairs of polar coordinates for the point (4, -4) with
Given the rectangular coordintate
r = √4²+(-4)²
r = √16+16
r = √32
r = √16*2
r =4√2
Theta = arctan(-4/4)
theta = arctan(-1)
theta = -45
theta = 180 - 45
theta = 135 degrees
x = rcos theta
y = rsin theta
x = 4√2cos 135
y = 4√2sin135
Find two positive consecutive integers such that the square of the first added to three times the second is 24
Answer:
3 and 5
Step-by-step explanation:
Let the two consecutive odd integers be x and x + 2.
Now,
The given statement is
[tex]x^2 + 3 \times (x+2)=24\\x^2 + 3x+6-24 = 0 \\x^2 + 3x-18 = 0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x=3,-6[/tex]
Taking x=3.
Hence, two consecutive odd integers are 3 and 5.
Bella has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $353.59.
She buys 3 bicycle reflectors for $4.98 each and a pair of bike gloves for $38.63.
She plans to spend some or all of the money she has left to buy new biking outfits for $49.20 each.
Write and solve an inequality which can be used to determine xx, the number of outfits Bella can purchase while staying within her budget.
Answer:
Bella spent 407.16 and has 132.84 left. she could buy like 2 outfits
Step-by-step explanation:
Solve 15=3p/6 Need some help
Answer:
p =30
Step-by-step explanation:
[tex]15 = \frac{3p}{6} [/tex]
[tex]15 \times 6 = 3p[/tex]
[tex]90 = 3p[/tex]
[tex]30 = p[/tex]
plsss help i’ll give brainliest if you give a correct answer
Answer:
It is x=7.
Step-by-step explanation:
(7)+8=15 You can subtract and you can get 7!!!
Answer:
X = 7
Step-by-step explanation:
If we take the equation
x + 8 = 15
and then subtract 8 on both sides we get
x = 7
so therefore x is 7 to make the value true.
Gabriela has an average daily balance of $232.94 on her credit card. Her card charges 9.25% annual interest. What will her monthly finance charge be?
$9.25
$21.60
$1.80
$0.78
Answer:
Step-by-step explanation:
B
Answer:
C
Step-by-step explanation:
$232.94 * 9.25% = 21.54694
21.54694 rounds up to 21.55
21.55/12 = 1.7958333333
1.7958333333 rounds up to 1.80
------------------------------------------------------------
This is a late answer but other people might need it :)
I put B as my answer and I got it wrong, I tried again and put C and got it right.
BRAINLY POINT CHALLENGE PART TWO
Answer:
D. 12 by 12 inches
Step-by-step explanation:
36*36= 1296
100*44= 4400
50*22= 1100
none of these answers equal 144 except for 12*12
hope this helps <3
GiVing
brains!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Which expression has a value of 13?
(20 ÷ 4) − 4 + 3 x 2
(18 ÷ 2) + 6 ÷ 6 + 3
(16 ÷ 4) + 3 x 4 − 1
(10 ÷ 2) − 3 + 4 x 2
(18/2)+6/6+3
Step-by-step explanation:
(18/2)=9
6/6=1
9+1=10
10+3=13
Use PEMDAS
please help!
Michael starts a website for people in his town to share news and photos. Before launching the website, he has his friends and family sign up. Then, he uses the equation shown to estimate the number of users, y, who will have signed up x weeks after he officially launches the website.
y = 82(1.045)x
part A: What is the rate of growth Michael expects each week after launching the website?
A.
104.5%
B.
95.5%
C.
0.045%
D.
4.5%
Answer:
D. 4.5%
Step-by-step explanation:
Michael expects the rate of growth to be 4.5% each week because in the equation inside the parenthesis is 1.045 meaning it has already had 1 added to the original percentage so subtract 1 from 1.045 then move the decimal twice to the right and change it into a percentage sight which will give you 4.5%
the growth rate per week is 4.5% Micheal can expect.
What is rate?Rate is a measurement to determine the change in one quantity with respect to another quantity.
The given equation is,
y = 82(1.045)x,
Where y represents number of people and x represent number of week.
After 1 week, x=1
y=82×1.045
The multiplying factor is 1.045
It implies that after 1 week growth increase by, 0.045
The percentage value of 0.045 is 4.5%
So the growth rate per week is 4.5%.
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Solve the equation 9=h/9
WILL GIVE BRAINLIEST FOR ANSWER Find the area of the shaded polygons.
Answer:
7.74 cm2
Step-by-step explanation:
We need to find the area of both the square and the circle and then subtract the two. Inscribed means draw within a figure so as to touch in as many places as possible. So the circle is drawn inside the square. The opposite is circumscribed, meaning drawn outside.
Asquare = s2 = 36 cm2 so the side is 6 cm
6 cm is also the diameter of the circle and thus the radius is 3 cm
A circle = πr2 = 3.14 * 32 = 28.28 cm2
The resulting difference is 7.74 cm2
3. A pair of tennis shoes cost $48.60 including sales tax. If the sales tax rate is 8%, what is the cost of the tennis
shoes before the tax is added?
Answer:
The answer for it is 44.71
(25 points!) Caleb bought a $795 necklace for his wife's birthday. If he bought it on credit with an interest rate of 16.25% how much total will he have paid after three years?
Answer:
The total amount that he would have paid after 3 years is $1183.
Step-by-step explanation:
We would apply the formula for determining simple interest which is expressed as
I = PRT/100
I represents interest paid on the amount owed.
P represents the principal or initial amount owed.
R represents interest rate
T represents the duration for which the amount was owed in years.
P = $795
R = 16.25
T = 3 years
I = (795 × 16.25 × 3) ÷ 100
I = $388
Total amount that he would have paid after 3 years is $795 + $388 = $1183
The total amount that he would have paid after three years would be $1183.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100
The given data as per the question
P = $795
R = 16.25
T = 3 years
Simple interest = P × R × T
Substitute the values,
Simple interest = (795 × 16.25 / 100 × 3)
Simple interest = (795 × 0.1625 × 3)
Simple interest = $388
The total payback amount : $795 + $388 = $1183
Therefore, the total amount that he would have paid after three years is $1183.
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Which answer choice correctly represents an algebraic expression for the quotient of a number and 9?
A. 9j
B. j ÷ 9
C. j – 9
D. 9 + j
The segments shown below could form a triangle.
A. True
B. False
Select the graph of the quadratic function g(x) = 2x2. Identify the domain and range
Answer:
Step-by-step explanation:
None of them are correct. The closest is D.
The domain is all real x or (-∞, ∞)
The range is [0, ∞).
Write the standard equation of a circle with center (-3, 4) (-3, 4) and radius 1.
Answer:
The answer is (x+3)^2+(y-4)^2=1
Step-by-step explanation:
The equation is (x-a)^2+(y-b)^2=r^2
In this equation, a and b are the coordinates of a center, and r is radius
Substituting given values, we obtain our answer.
6) Triangle RST has vertices R(2,3), S(5. -1), and T(3, -4). The triangle is rotated 90° counterclockwise about the origin. Which are the coordinates of the image of vertex T?
Answer:
T'(4, 3)Step-by-step explanation:
The rule of 90° counterclockwise rotation about the origin:
(x, y) → (-y, x)Apply the rule to the point T:
T(3, -4) → T'(4, 3)Answer:
A(x,y)____rotation through 90°. >A'(-y,x)
Step-by-step explanation:
T(3,-4))____rotation through 90°. >T'(4,3)
R(2,3))____rotation through 90°. >R'(-3,2)
S(5,-1))____rotation through 90°. >S'(1,5)
∆ XYZ ≅ ∆ MNL
Find XY
The length of XY is 8.
What are congruent triangles?When a triangle has precisely the same three sides and precisely the same three angles, it is said to be congruent.
Given that, the triangles ΔXYZ and ΔMNL are congruent.
Therefore, XY≅MN.
Since MN = 8, it follows XY =8.
Hence, the length of XY is 8.
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