Answer: [tex]\dfrac{15}{64}[/tex]
Step-by-step explanation:
Given
Inside radius of figure [tex]r_1=\frac{14}{2}=7\ ft[/tex]
Outside radius of figure [tex]r_2=\frac{16}{2}=8\ ft[/tex]
Area of outside region is [tex]A_1=\pi (8^2)[/tex]
Area of inside region [tex]A_2=\pi (7)^2[/tex]
Area of shaded region [tex]A_1-A_2[/tex]
Probability that point lies inside the shaded region is
[tex]\Rightarrow P=\dfrac{A_1-A_2}{A_1}\\\\\Rightarrow P=\dfrac{\pi (8^2-7^2)}{\pi 8^2}\\\\\Rightarrow P=\dfrac{64-49}{64}\\\\\Rightarrow P=\dfrac{15}{64}[/tex]
Change the following algebraic expressions to the statement in words: i. 3mn +7 ii. xy + (x+y)
Answer:
i) 3*m*n + 7
Then we can write the first term as:
"3 times the product between two numbers"
Where the product of two numbers is m*n
And after that we need to add 7, then the complete sentence is:
"3 times the product between two numbers, increased by 7"
ii) x*y + (x + y)
The first part, x*y, can be written as:
"the product of two numbers"
where the two numbers are the number x and the number y.
After that, we add the sum of these two numbers, then the complete sentence can be:
"the product of two numbers, plus the sum of these two numbers"
cabe nur
- -
3,7,10,11,27-22
f 1,3,6.10.15...
Cube numbers.
a to Write down the axt
Ence
bo se quences:
4 terms in each of the
โถ
og h, 2.10.13.16.19 -
Write down the next 4 numbers in 4,7,10,13,16,19
Answer:
22, 25, 28, 31
Step-by-step explanation:
The question is mixed up. The only clear question is:
Given:
4, 7, 10, 13, 16, 19
Required
Write the next 4
Notice that the rule of the above sequence is to "add 3". So, the next 4 numbers is gotten by adding 3 to the previous number on the sequence.
The next 4 are:
[tex]19 + 3 = 22[/tex]
[tex]22 + 3 = 25[/tex]
[tex]25 +3 = 28[/tex]
[tex]28 + 3= 31[/tex]
The domain of the following relation R {(3, −2), (1, 2), (−1, −4), (−1, 2)} is (1 point)
a
{−1, 1, 3}
b
{−1, −1, 1, 3}
c
{−4, −2, 2, 2}
d
{−4, −2, 2}
The domain is set of all x-values. From an ordered pair (x,y) the domain would be the value of x. That means y-value is clear out since it is not domain but range or co-domain.
Given the set of relations below:
R = {(3,-2), (1,2), (-1,-4), (-1,2)}
The domain would be {3,1,-1} which if we arrange from least to greatest, we'd get {-1,1,3}. Remember that we don't write the repetitive numbers or same two numbers in the set.
Answer
{-1,1,3}Here is a picture and thank you
PLEASE HELP
School ends in 4 days and I still have so much work to do and I understand none of it!!
Can someone please help me understand this
Answer:
Step-by-step explanation:
l = 34 cm
height = 30 cm
radius = 16 cm
surface area of cone = πr (l +r)
=3.14 *16 (34 + 16)
=50.24*50
=2512 cm^2
volume of a cone = [tex]\frac{1}{3}[/tex]πr^2h
=[tex]\frac{1}{3}[/tex]*3.14*16^2 *30
=1.0466*256*30
=8037.888
=8037.89 cm^3
Please help, how do you write 4.06 in word form and expanded form?
Answer:
four and six one hundredths
406/100
4.06 = (4 x 1) + (0/10) + (6/100)
A simple way to describe a Coefficient?
Answer:
A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1.
Step-by-step explanation:
Hope it helps
Answer:
A number placed before and multiplying the variable in an algebraic expression (e.g. [tex]4[/tex] in [tex]4x[/tex]).
Step-by-step explanation:
Hope this is helpful.
Pleaseeeeee help meee
Answer:
Surface area of sphere = 1,344.8 m² (Approx)
Step-by-step explanation:
Given:
Volume of sphere = 1,476π m³
Find;
Surface area of sphere
Computation:
Volume of sphere = [4/3]πr³
1,476π = [4/3]πr³
1,476 = [4/3]r³
[1,476][3/4] = r³
1,107 = r³
r = 10.35 m (Approx.)
Surface area of sphere = 4πr²
Surface area of sphere = 4(3.14)(10.35)²
Surface area of sphere = 4(3.14)(107.1225)
Surface area of sphere = 1,345.45
Surface area of sphere = 1,344.8 m² (Approx)
Nikhil invests all of his $ 350 at a rate of 3% per year simple interest.Calculate the total value of this investment after 7 years
answer:
423.5
step1.
you find the value of 3% by dividing over 100 because percentage is over 100 so 3/100
step2
multiply by $350
so 3/100×350=10.5
step3
we are told the investment is for 7years so we multiply 10.5 by 7 because 10.5 is only for 1year
10.5×7=73.5
step4
add the 73.5 to the 350 then you have your answer
which of the following are good questions to ask when trying to understand a problem A is the variable always positive negative or either B what is the variable C what is a logical name for a variable D does my guess satisfy the equation E what are the units of the variable F now should i present
A
D
E
F
When solving a problem we must understand what variable represents as well as its units.We must also understand what types of numbers it could be,whether positive,negative,decimals,fractions,etc
PLS ANSWER ILL GIVE BRAINLIEST
A t-shirt that usually costs p dollars is available at a discount. Drag and drop two expressions to show the correct price of the shirt in the spaces provided.
0.3p 0.7p 0.93p 0.97p 1.3p
the price of the t-shirt after 30% discount:
the price of the t-shirt after 70% discount:
Answer:
The price after a 30% discount would be 0.3p and the price after a 70% discount would be 0.7p.
Step-by-step explanation:
When you turn the percentages into decimals, 30% will be changed into 0.3, and when you change 70% into a decimal, it would be 0.7 (Move the decimal at the end two spaces over to the right like this: 70.% -> 7.0 -> 0.7)
Which fraction converts to a repeating decimal number?
CA.
1
12
B.
718
C.
127
27
D.
E.
6
10
Reset
Answer: A.
Step-by-step explanation:
Data: Fraction that turning into a repeating decimal number=x
Only step: Divide all the fractions, 1/12, 7/8, 14/25, 17/20, 6/10
Explanation: The only way to find which fraction turns into a repeating decimal is by dividing all the fractions, this can be done in any order but for this problem, lets start with 1/12 which, when divided, turns into 0.083... which is a repeating decimal
With that being said, the answer would be A.(1/12)
I hope this helps(Mark brainliest if you'd like to)
Find the surface area of the rectangular prism shown below.
6 in.
(15 in
12 in
Answer:
684 in^2
Step-by-step explanation:
SA = 2 ( l*w + l*h+ w*h)
SA = 2( 6*15 + 6*12+ 15*12)
= 2( 90+72+180)
= 2(342)
= 684 in^2
how many solutions does the nonlinear system of equations graphed below have?
What is the value of this expression when m = 6? the difference of the product of 3 and m minus the quotient of m divided by 2
Answer:
15
Step-by-step explanation:
Expressing the sentence Mathematically ;
The product of 3 and m = 3m
Quotient of m divided by 2 = m/2
Hence, the expression becomes ;
3m - m/2 ; value of expression when m = 6
(3m - m/2) ; when m = 6
(3(6) - 6/2)
(18 - 3)
= 15
9/10 divided by 3/5 in simplest form
Answer:
3/2
Explanation:
To divide by a fraction multiply by the reciprocal of that fraction
9/10×5/3
reduce the numbers with greatest common factor 3
3/10×5
reduce the numbers with the greatest common factor of 5
3/2 is your answer
The fraction 9/10 divided by 3/5, in simplest form, is 3/2.
To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 3/5 is 5/3.
So, we have:
(9/10) ÷ (3/5) = (9/10) x (5/3)
Next, we multiply the numerators and denominators:
= (9 x 5) / (10 x 3)
= 45/30
To simplify the fraction, divide both the numerator and denominator by their greatest common divisor, which is 15:
= (45/15) / (30/15)
= 3/2
Therefore, 9/10 divided by 3/5, in simplest form, is 3/2.
Learn more about Fraction here:
https://brainly.com/question/10354322
#SPJ6
Tìm tập xác định x4/4-x2/2+1
Answer:
Bạn ghi rõ hơn được không?
Nếu là (x^4)/4 - (x^2)/2 + 1 thì không có nhé
Is Laplace's Rule well applied in this exercise? The result would have to be -82 and not 22, what is wrong? Thanks.
Answer:
-82
Step-by-step explanation:
no it is not correct
I'll show you my answer
pls give me brainliest
Solve. Please hurry, I am on a timer.!! I need your help QUICK!
A. -2 1/4
B. -8 2/3
C. -9 1/4
D. 2 1/4
Answer:
-9 1/4
Hope that this help!
graph: y=-4sin(2x)+1 where the x axis starts at 30
Answer:
We want to graph:
y = -4*sin(2*x) + 1
Such that the x-axis starts at x = 30
This is trivial to do if we use a program to graph or if we graph by hand, here we just need to draw the x-axis such that it crosses the y-axis at the point (30, 0)
Then let's graph the equation in that axis, we will get an image like the one you can see below.
Dan buys a car for £1700. It depreciates at a rate of 4% per year. How much will it be worth in 4 years? Give your answer to the nearest penny where appropriate.
Answer:
1428
Step-by-step explanation:
1700x0.04=68 (How much the car will decrease per year)
68x4=272 (How much the car will decrease in four years)
1700-272=1428 (Value of car in four years)
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?
Find the measure of angle 1
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER
Answer:
∠ 1 = 128°
Step-by-step explanation:
∠6 = 7x + 3 [ vertically opposite angles ]
∠6 = 4x + 24 [ corresponding angles ]
7x + 3 = 4x + 24
7x - 4x = 24 - 3
3x = 21
x = 7
∠1 + ( 4x + 24 )= 180° [ straight line angles ]
∠1 + 4 ( 7 ) + 24 = 180° [ Substituting x = 7 ]
∠ 1 + 28 + 24 = 180°
∠ 1 = 180 - 24 - 28
∠ 1 = 128°
Find the volume of each shape.
Step-by-step explanation:
V=LWH L is the length, W is the width and H is the height.
12×6×3=216
2.V=Ah A is the area of the base, h is the height
18x16=288
3.V=LWH L is the length, W is the width and H is the height.
10x14x5=700
Express y in terms of x in the equation =
express 0.27272727......... in the form of p/q
Hello,
[tex]0.\overline{27}=\dfrac{27}{99} =\dfrac{9}{33} =\dfrac{3}{11}[/tex]
In parallelogram FGHJ if m∡ GHJ=55˚ find m∡FGH
Answer:
∠ FGH = 125°
Step-by-step explanation:
The consecutive angles in a parallelogram are supplementary, then
∠ FGH + ∠ GHJ = 180° , that is
∠ FGH + 55° = 180° ( subtract 55° from both sides )
∠ FGH = 125°
Answer: m∠FGH = 125°
Step-by-step explanation:
In a parallelogram, adjacent angles are supplementary (add up to 180°).
From the diagram, we can see that m∠GHJ and m∠FGH are adjacent.
This means that:
m∠GHJ + ∠FGH = 180° where ∠FGH is ∠x and ∠GHJ = 55°
55° + m∠x = 180° (subtract 55 from both sides)
m∠x = 125°
Name the marked angle in 2 different ways.
Angle LNM and angle MNL
pls follow and mark brainliest
What are biofertilisiers
Answer:
Step-by-step explanation:
biofertilizers are fertilizers consist of micro-organisms that will help plant growth. they are different from traditional fertilizers which consist of chemicals
Answer:
Any fertilizers involving living organisms, or the products obtained from living organisms can be referred to as biofertilizer, although nowadays, the term is generally used for living organisms used for fertilizer purpose.
Step-by-step explanation:
Hope this helps
In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers, If Anju's scores in four successive rounds were -14, 15, -11 and 20. What was her total at the end.
Answer:
10
Step-by-step explanation:
-14+15 leaves a positive 1
-11+20 leaves a positve 9
add.
I'll give branliest! please help!!
Answer:
Step-by-step explanation:
So we know angles A and B add up to 180 degrees.
This gives us x+2 + 2x+4
We can simplify this to 3x+6 = 180
3x = 174
x=58
Now we know value of X, we can use it to find A's angle
Since, a = x + 2
a = 60