a smallercircle passes through the center of, and is tanget to a larger cirlc the area of the smaller circle is 9 square units. What is teh area of the larger circle in square units
36 square units make up the larger circle's surface area.
We can use the fact that the smaller circle is tangent to the larger circle and passes through its center to find the area of the larger circle. Since the radius of the smaller circle is tangent to the larger circle, the radius of the larger circle is double the radius of the smaller circle.
Let's call the radius of the smaller circle "r" and the radius of the larger circle "R". We know that R = 2r.
We know that the area of a circle is given by the formula A = πr^2.
We know that the area of the smaller circle is 9 square units, we can use this formula to find the radius:
A = πr^2 => r^2 = 9/π => r = sqrt(9/π)
Now we can use the formula of the area of a circle with R-value to get the area of the larger circle:
A = πR^2 => A = π(2r)^2 => A = 4πr^2 => A = 4π(9/π) => A = 36
So the area of the larger circle is 36 square units
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Solve 9x + 3 = -33 . PLEASE HELP ME IT WILL MAKE MY DAY
[tex] : \implies \sf 9x + 3 = - 33[/tex]
[tex] : \implies \sf 9x = - 33 - 3[/tex]
[tex] : \implies \sf 9x = - 36[/tex]
[tex] : \implies \sf x = \dfrac{ - 36}{9} = - 4[/tex]
[tex] \therefore \sf x = -4 [/tex]
g(n)=-3n-4; Find g(-8)
Answer:
g(- 8) = 20
Step-by-step explanation:
substitute x = - 8 into g(x) , that is
g(- 8) = - 3(- 8) - 4 = 24 - 4 = 20
PLEASE HELP ME!! Will give branliest!! Pleaseee
Answer:
X:6.7
Y:17
Z:33
Step-by-step explanation:
Because their similar to each other, the corresponding angles are equal.
5y-3=82
5y=85
y=17
Angle J=angle M=z=180-82-65=33
3x-2=18.1
3x=20.1
x=6.7
Answer:
x = 6.7
y = 17
z = 33°
Step-by-step explanation:
To find x:
Because IJK≅LMN, you know that 3x-2 = 18.1
3x-2 = 18.1
Add 2 to both sides:
3x-2+2 = 18.1+2
3x = 20.1
Divide both sides by 3:
3x/3 = 20.1/3
x = 6.7
To find y:
5y-3 = 82
Add 3 to both sides:
5y-3+3 = 82+3
5y = 85
Divide both sides by 5:
5y/5 = 85/5
y = 17
To find z:
Because all triangles angles must add up to 180, find 180-82-65:
180-82-65 = 33 degrees
Because IJK≅LMN, z = 33 degrees
simplify 3a - 2(8 +4a)
help pleaseeeeee
Answer:
-5a - 16
Step-by-step explanation:
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The function f(x) = 10(1. 015)* shows the balance in a savings account as time increases. What does the 10 represent?
A)
The interest the savings account earned for the first year.
B)
The annual interest rate of the savings account.
C)
The number of years the savings account has earned interest.
D)
The starting balance of the savings account.
The 10 represent in the function f(x) = 10(1. 015)* shows the balance in a savings account as time increases is the starting balance of the savings account.
Therefore the answer is D) The starting balance of the savings account.
The compound interest formula is used to calculate the total interest earned on a principal amount over a period of time, where the interest is compounded at regular intervals. The formula is:
A = P(1 + r)^(t)
Where:
A is the final amount (principal + interest)
P is the principal (initial) amount
r is the annual interest rate (expressed as a decimal)
t is the number of years the money is invested or borrowed
The function f(x) = 10(1. 015)* shows the balance in a savings account as time increases.
So 10 represents the principal (initial) amount
0.014 represents the annual interest rate (expressed as a decimal)
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a plant normally sells $6.50. today all plants are discounted by 25%. What is the sale price of the plant ?
Answer:
100% -> 6.50
100 - 25 = 75
75% -> 6.50/100 x 75
= 4.875
≈ 4.88
Answer:
$4.875 or if rounded $4.88
Step-by-step explanation:
Hope this helped
also u just have to subtract 6.50 by 25%
Vanessa is building a storage chest in the shape of a rectangular prism. The chest will be 59 cm long, 47 cm deep, and 27 cm high.
What will the surface area of the chest be?
Surface Area Enter your next step here
cm2
Answer:
11270 cm2
Step-by-step explanation:
A = 2(wl+hl+hw)
= 2(47•59+27•59+27•47)
= 11270
Monty is working on a formula to determine the amount of profit (P) he will make when he sells his pottery. He has already spent $50 on materials and plans to sell each pot for $5. If x represents the number of pots he sells, which formula represents Monty's profit from his sales?
Answer:
P=5x-50
Step-by-step explanation:
Profit is represented by P.
$5 is what Monty plans to sell each pot for and x represents how many pots he sells.
therefore 5x-50=P
Pls help me with math
The correct expression to represent the similarity of these two triangles is,
21/35 = x/30.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know two triangles are similar if the ratio of their corresponding sides is equal.
Therefore, The correct way to represent the similarity is,
21/35 = x/30.
We can solve for x here,
35x = 21×30.
5x = 3×30.
x = 3×6.
x = 18.
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Solve the following equation for mathwatch
3x-1/2= x+5/5
0.75 i think
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x=34x=34
Decimal Form:
0.75
how many times bigger is b than c
PLEASE HELP
WILL GIVE BRAINLIEST
Answer:
[tex]\frac{9}{10}[/tex] + [tex]6\frac{1}{5}[/tex] = [tex]7\frac{1}{10}[/tex]
Answer:
look at the picture i sent .....
you are running a marathon along a straight path. you are approaching mile marker 12 at a speed of 300 feet per minute. you are currently 1500 feet from mile marker 12. write an absolute value equation that models your distance in feet from mile marker 12 after x minutes
Therefore , the solution of the given problem of linear equation comes out to be 1200 = 400x.
What exactly is a linear equation?A linear equation is represented by the algebraic expression y=mx+b. B is the y-intercept, and m is the slope. A "simple formula with 2 factors," where both y and x are variables, is what the previous sentence was referred to as. Calculations with two variables are referred to as "bivariate linear equations." Here are a few illustrations: 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3 are the results. A mathematical equation is considered to be linear if its solution has the format y=mx+b, where m stands for the slope and b for the y-intercept.
Here,
Given:
300 feet per minute
where x is the number of minutes,
The Y is 1200.
Thus,
Taking account of all the above information
We get,
This will give us an equation of 1200 = 400x
Therefore , the solution of the given problem of linear equation comes out to be 1200 = 400x.
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can someone help me?
Answer:
Step-by-step explanation:
The solution is the point where the 2 lines intersect.
If they intersect where x = 1 and y = 2 the solution is (1, 2).
Salma has 4/5 kg of the flour . She wants to bake some cake. She uses 1/8kg of flour for each cake. What is the most number of cakes she can bake?
Answer:
Step-by-step explanation:
Salma has 4/5 kg of the flour . She wants to bake some cake. She uses 1/8kg of flour for each cake. What is the most number of cakes she can bake?
which of these decimal numbers is equivalent to 87?
0.87
8.70
87.00
870.0
Answer: if its 87% then its 0.87, but if its 87 then its 87.00
Step-by-step explanation: I'm doing these questions for a challenge :D
Giving 30 points to who answers
Answer:
46
Step-by-step explanation:
PLEASE ANSWER ITS IMPORTANT
A car travels at an average speed of 68 miles per hour. How long does it take to travel 357 miles?
Find the product using any method. (Need some help!!)
Answer:
2n^2-8n-24
Step-by-step explanation:
Uhm i just did this one with one of my classmates like 2-3 months ago so it just came to mind.
Hope this helped tho! :)
Click on the assignment icon to receive a printout of this construction assignment. Do the assignment and be ready to give it to your teacher for grading if it is requested.
The Construction is shown below.
What is Perpendicular line?Perpendicular lines are lines that intersect at a right (90 degrees) angle.
Given:
a) Steps for perpendicular line:
To cross the line segment, draw two arcs.Create two more intersecting arcs.Connect the initial point to the intersection of the arcs.b) Perpendicular Bisector for triangle
Draw arcs with the same radius that are centered at X and Y by opening the compass more than halfway.These two arcs come together at two locations. They will be referred to as points P and Q.The line segment M, which is the perpendicular bisector of the line segment S, should be drawn by placing the ruler where the arcs meet (that is, by connecting points P and Q).we are going to proceed in the same way on all three sides of the triangle to draw its three perpendicular bisectors (Ma, Mb and Mc)So, if we extend the bisector they can meet inside, at center and outside the triangle.
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Find the total surface area of a cone with a base diameter of 7cm and height of 8cm
Answer: The formula for the surface area of a cone is S = π * r * s + π * r², where r is the radius of the base and s is the slant height of the cone.
To find the surface area of a cone, you first need to find the radius of the base. Since the base diameter is given as 7cm, you can divide this by 2 to find the radius of the base:
r = 7cm / 2 = 3.5cm
Next, you need to find the slant height of the cone. You can use the Pythagorean theorem to do this.
slant height = sqrt(r^2 + h^2) = sqrt(3.5² + 8²) = sqrt(12.25 + 64) = sqrt(76.25) = 8.766cm
Now you can substitute these values into the formula for the surface area of a cone and find the surface area of the cone.
S = π * r * s + π * r² = π * 3.5cm * 8.766cm + π * 3.5² cm² = 12.571 cm² + 38.485 cm² = 51.056 cm²
So the surface area of a cone with a base diameter of 7cm and height of 8cm is 51.056 cm²
Step-by-step explanation:
t(28 – 8) = 24(28 – 8)
- 24 1)
Answer:
24(24)
Step-by-step explanation:
[tex] \rm \mapsto \: t(28 - 8) = 24(28 - 8) \\ \rm \mapsto \: t(24) = 24(24) \\ \rm \mapsto \: 24t = 576 \\ \rm \mapsto \: t = \frac{576}{24} \\ \rm \mapsto \: t = 24[/tex]
The solution to the equations are
a) The quantity ( 28 - 8 ) represents the discounted price of the tickets
b) The total cost of the 24 tickets is given by the equation A = $ 480
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of 24 tickets be represented as A
Now , the equation will be
The initial cost of a ticket = $ 28
The discounted cost of the ticket = $ 8
So , the final cost of the ticket = $ 28 - $ 8 = $ 20
Now , the cost of t tickets = 20t
So , when the value of t = 24
Substitute the value of t in the equation , we get
The cost of 24 tickets A = 20 ( 24 )
On simplifying the equation , we get
The cost of 24 tickets A = $ 480
Therefore , the value of A is $ 480
Hence , the equation is A = $ 480
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A glass fish tank in the shape of a rectangular prism has a bace that measures 22 inches by 12 inches. Find the surface area if the height = 15 inches
Answer:
Surface Area = 2(22 x 15) + 2(12 x 15) + 2(22 x 12)
Surface Area = 660 + 360 + 528
Surface Area = 1,548 inches²
Step-by-step explanation:
Kenneth opened a savings account and deposited $300.00 as principal. The account earns
14% interest, compounded annually. What is the balance after 8 years?
Use the formula A = P1+
P(1 + r/n)", where A is the balance (final amount), P is the principal
(starting amount), r is the interest rate expressed as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years.
Round your answer to the nearest cent.
$855.78
Step-by-step explanation:Interest, in this context, is the amount of money a saving account can earn over time.
Compound Interest Formula
There are 2 types of interest: simple and compound. For this question, we are going to use the compound interest formula. This formula is [tex]A = P(1+\frac{r}{n})^{nt}[/tex]. As stated in the question, A is the total balance, P is the principal, r is the interest rate, n is how often the interest is compounded, and t is time.
Variables
The values of these variables for this question are as follows:
P = 300.00The principal is the initial amount, and the question states that the account starts at 300 dollars.
r = 0.14The question says the interest rate is 14%, so we can convert this to the decimal 0.14.
n = 1If something is compounded annually, it is compounded once a year, so n must be 1.
t = 8If we want to find the balance after 8 years, we should set t equal to 8.
Solving for A
To find A, all we have to do is plug the variables into the formula.
[tex]A = 300(1+\frac{0.14}{1})^{1*8}[/tex]This can be rewritten as:
[tex]A=300(1.14)^8[/tex]Solve this to find that A ≈ 855.78. After 8 years, the balance will be $855.78.
What is the most specific name that can be given to a figure with the following coordinates?
(-10, 8), (-7, 13), (3, 7), and (0, 2)
A. rectangle
B. square
C. trapezoid
D. parallelogram.
Answer:
a. rectangle
Step-by-step explanation:
i just used desmos so i have no idea how to explain it
HELP
Answers available are on the picture
Answer:
[tex]360 = 2\pi \\\\90 = \frac{2\pi }{4} =\frac{\pi }{2} \\\\180 = \pi \\\\270 = \frac{6\pi }{4} = \frac{3\pi }{2}[/tex]
simplify the following algebraic expression 5x– 4у + 3y+8y – 7х
Answer:
-2x + 7yStep-by-step explanation:
Given,
5x– 4у + 3y+8y – 7х
[Bringing like terms together]
= 5x - 7x - 4y + 3y + 8y
[Adding and subtracting the like terms]
= - 2x + 7y (Ans)
What is the area of the quadrilateral below?
15 m
4 m
O A. 30 square meters
OB. 45 square meters
C. 60 square meters
OD. 75 square meters
Answer:
C
Step-by-step explanation:
A = Base x height
Base = 15
height = 4
= 60 square meter
Answer:
it is c because all I did was algarithims so yes it would be c