Answer:
A=h(b)b/2
Step-by-step explanation:
Problem 3
Anh, Bill and Cathy each think of a positive whole number less than 1000.
• Anh says, My number is bigger than 500 and divides by every integer
from 1 to 10 except for 7.'
• Bill says, "My number divides by every integer from 1 to 10 except
for 9.
• Cathy says, 'You have both done better than me, but I can see that
if we added our three numbers together, the total would divide by
all the numbers from 1 to 10.'
What numbers from 1 to 10 does Cathy's number not divide by?
Answer:
Cathy's number is not divide by 7 and 9
Step-by-step explanation:
Anh’s number is divisible by all numbers from 1 to 10 except 7.
Hence, Anh’s number is 8*9*10 = 720
Bill’s number does not divide by 9, hence his number would be = 3*8*5*7 = 840
The sum of numbers of all three is divisible by all numbers between 1 to10
So the sum number is = 10*9*8*7 = 5040
Number of Cathy = 2520 – 720 -840 = 960
960 is not divisible by 7 and 9
Divide 240 in the ratio 1 : 5
Answer:
40 : 200
Step-by-step explanation:
1/6 x 240 = 40
5/6 x 240 = 200
A sheet of cardboard 12 inches square is used to make an open box by cutting out squares of equal size from the four corners and bending up the sides. What size should the squares be to obtain a box with the largest possible volume
Answer:
[tex]x=6+3\sqrt{2}[/tex] is the size of the square
Step-by-step explanation:
Let the side of the square cut from the cardboard be “x”
Size of the square base = [tex]12 -2x[/tex], height of the box = x
Volume of square box = Area * height = [tex](12-2x)^2 * x[/tex]
Differentiating the above equation and equating it to zero, we get –
d/dx [tex]((12-2x)^2 * x)[/tex]
d/dx[tex]{(144 + 4x^2 -48x)*x}[/tex]= d/dx [tex](144x + 4x^3 -48x^2)[/tex]
d/dx [tex](144x + 4x^3 -48x^2) = 0[/tex]
[tex]144+8x^2-96X= 0\\18 +X^2-12X = 0[/tex]
On solving above equation, we get –
[tex]x=6+3\sqrt{2} \\ x=6-3\sqrt{2}[/tex]
hey! i’ll give brainliest please help
Answer:
Symbol also in symbolizing something
Step-by-step explanation:
Allegory: is a form of narrative in which people, places and happenings have hidden or symbolic meaning. ... This is when the meaning, situation or action is one thing but means something different.
a)
Complete this prime factor tree:
36
b)
Write 36 as a product of its prime factors.
Write the factors in order, from smallest to largest.
A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle
Answer:
9 cm
Step-by-step explanation:
Arc length = θ/360 × 2πr
A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle
Hence,
3π = 120/360 × 2πr
Diameter = 2r
3π = 1/3 × 2πr
Cross Multiply
9π = 2πr
2r = 9π/π
Note that :
Diameter = 2r
Hence,
Diameter = 9 cm
find nth term of -15,-18,-21.....
Answer:
I think the question is from Sequence.
on the basis that I have studied I think this is the way. if I am wrong sorry
e) If A = {x:xis a letter in the word 'MATHEMATICS'}, list the members and find
n (A).
Given :
If, A = { x : x is a letter in the word 'MATHEMATICS' } .
To Find :
The members of A and find n (A).
Solution :
We have given a set, A = { x : x is a letter in the word 'MATHEMATICS' } .
Now, we know in set theory recurring element is written once only i.e all unique elements should be there in the set.
So,
A = { M, A, T, H, E, I, C, S }
Now, number of element in set A is 8.
Therefore, n(A) = 8 .
What is the value of x?
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
HURRY PICTURE INCLUDED
The highlighted part of this picture is a good representation of which
geometric term?
OA) line segment
B) ray
OC) line
OD) plane
The highlighted part is called Ray.
By the way, In geometry, a ray can be defined as a part of a line that has a fixed starting point but no endpoint.⚠️PLEASE HELP DUE SOON⚠️
if y=2x-3/3, then x=?
Answer:
Now, find the point where these two lines meet—that is the point with ... We just used them to help us locate the point \left(1,3\right) . ... Since x=2 , the point is to the right of the y-axis. Since y=-3 , the point is below the x-axis. ... Can you tell just by looking at the coordinates in which quadrant the point \left(-2 ... \left(3,-3\right)
Answer:
x = y/2+1/2
Step-by-step explanation:
Simplify the equation, leaving X on one side, giving you x=y/2+1/2.
A 32 oz water bottle costs $10.70.
___ oz per water bottle
___ dollars per ounce
round answer to nearest hundredth
Answer:
32 oz per water bottle
$0.33 dollars per ounce
Step-by-step explanation:
We are already given 32 oz as the amount per water bottle, so all we need to do is calculate the dollars per ounce. We can do this by dividing the cost of the water bottle by the number of ounces.
$10.70 ÷ 32= 0.334375 ------> 0.33
Rounding to the hundredths place we get $0.33.
A box contains 12 balls of which 5 are red, and 7 are blue. If 4 balls are drawn from the box, in how many ways can this be done if 1 is red and 3 are blue?
Answer:
175 ways
Step-by-step explanation:
5 balls are red, and 7 balls are blue making a total of 12 balls.
4 balls are drawn from the box,
1 ball is red and 3 balls are blue out of the 4 drawn from the box.
We have to choose 1 ball from 5 red balls and 3 blue balls from 7 blue balls.
Since the order is not essential we use combinations to find out
5C1 * 7C3= 5*35 = 175 ways
Hurry plz
In which quadrant is the point (-5, -4) in?
IV
I
III
II
Answer:
(-5,-4) quadrant is in III quadrant
The function h(t)=−16t2+7t+63 represents the height of a t-shirt launched from a t-shirt cannon after t seconds. a. Write an equation that tells us when the t-shirt hits the ground. b. At what time does the t-shirt hit the ground. SHOW ALL WORK. Round to 2 decimal places.
Answer:
[tex](a)\ -16t^2 + 7t + 63=0[/tex]
[tex](b)\ t = 2.215[/tex]
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 7t + 63[/tex]
Solving (a): Equation when it hits the ground.
This means that [tex]h(t) = 0[/tex]
So, we have:
[tex]h(t) = -16t^2 + 7t + 63[/tex]
[tex]-16t^2 + 7t + 63=0[/tex]
Solving (b): The value of t in (a)
[tex]-16t^2 + 7t + 63=0[/tex]
Using quadratic formula, we have:
[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
This gives:
[tex]t = \frac{-7 \± \sqrt{7^2 - 4*-16*63}}{2*-16}[/tex]
[tex]t = \frac{-7 \± \sqrt{49+ 4032}}{2*-16}[/tex]
[tex]t = \frac{-7 \± \sqrt{4081}}{-32}[/tex]
[tex]t = \frac{-7 \± 63.88}{-32}[/tex]
Split
[tex]t = \frac{-7 + 63.88}{-32}; or\ t = \frac{-7 - 63.88}{-32}[/tex]
[tex]t = \frac{56.88}{-32}; or\ t = \frac{-70.88}{-32}[/tex]
[tex]t = -1.7775; or\ t = 2.215[/tex]
Time can't be negative; So:
[tex]t = 2.215[/tex]
Find the area of the shaded region.
800
5 cm
A=[?] cm2
Enter a decimal rounded to the nearest tenth.
Enter
If the radius of the circle is 5 cm and central angle is 80° then the area of the shaded region is 61.06.
Given that the radius of the circle is 5 cm and central angle is 80°.
We are required to find the area of the shaded region.
The area of the shaded region is basically the difference between the area of the whole circle and the area of the arc which is not shaded.
Area of circle=π[tex]r^{2}[/tex]
=3.14*25
=78.5 [tex]cm^{2}[/tex]
Area of the arc =([tex]r^{2}[/tex]Θ)/2
=(25*80π)/2*180
=(25*80*3.14)/360
=6280/360
=17.44
Area of the shaded region=78.5-17.444
=61.056
After rounding off to the nearest tenth it will be as under:
=61.06
Hence if the radius of the circle is 5 cm and central angle is 80° then the area of the shaded region is 61.06.
Learn more about area at https://brainly.com/question/25965491
#SPJ1
PLEASE HELP ME!!! ILL GIVE BRAINLIEST TO RIGHT ANSWER
Answer:
792m^2
Step-by-step explanation:
Seperate your 2 rectangles
Large one is 18*30
Small one (60-18)*6
18*30 = 540m^2
42*6=252m^2
What is the radius of polygon JKLMN ?
Answer:
Radius of the circle is 5 units.
Step-by-step explanation:
JKLMN is a regular polygon inscribed in a circle.
Since, its a regular polygon,
JN = NM = 5.88 units
"Perpendicular drawn from the center of the circle to any chord is the bisector of the chord"
Therefore, PQ will be the perpendicular bisector of chord NM.
QM = [tex]\frac{1}{2}(NM)[/tex]
QM = [tex]\frac{1}{2}(5.88)[/tex]
QM = 2.94 units
By applying Pythagoras theorem in ΔPQM,
PM² = PQ² + QM²
PM² = (4.05)² + (2.94)²
PM = [tex]\sqrt{16.4025+8.6436}[/tex]
PM = [tex]\sqrt{25.0461}[/tex]
PM = 5 units
Therefore, radius of the circle is 5 units.
Solve for angle A. Please help quickly !!
Answer:
∠ A ≈ 75.7°
Step-by-step explanation:
Given
[tex]\frac{sinA}{8}[/tex] = [tex]\frac{sin58}{7}[/tex] ( cross- multiply )
7 × sinA = 8 × sin58° ( divide both sides by 7 )
sinA = [tex]\frac{8sin58}{7}[/tex] , then
∠ A = [tex]sin^{-1}[/tex] ([tex]\frac{8sin58}{7}[/tex] ) ≈ 75.7° ( to the nearest tenth )
HELP ME [QUESTION IN IMAGE]
what is the value of x in the equation 5x-7=28
5x -7 = 28
Add 7 to both sides:
5x = 35
Divide both sides by 5:
X = 7
The answer is x = 7
I need help pls! Giving brainliest and extra points!
Answer:
y = 8x+6
Step-by-step explanation:
First find the slope since it is a linear function
m = (y2-y1)/(x2-x1)
= (18-2)/(1 1/2 - -1/2)
=16 / (1 1/2 +1/2)
= 16/2
= 8
The linear function is in the form
y = mx+b where m is the slope
y = 8x+b
Substitute the other point into the equation to determine b
10 = 8(1/2) +b
10 = 4+b
10-4 = b
6 = b
y = 8x+6
Marcia drew a quadrilateral with two pairs of parallel sides, four congruent
side lengths, and no right angles. Marcia's quadrilateral can be described as
a ?
Answer: rhombus but no a square
Step-by-step explanation:
In a sale, the selling price of a bicycle is reduced by 20%. Find the sale price of the bicycle, given that its normal selling price is Rs 3300.
Answer:
1-0.2=0.8
0.8*3300= 2640
Original price = 3300
sale = 20% = 3300×20/100 = 660
Selling price= 3300-660= 2640 rs
the sale price of the bicycle is 2640 Rs
P L E A S E A N S W E R A S A P T H A N K S
Answer:
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55
55 divided by 10 = 5.5 around 5
Add all your numbers
Divide by the many numbers there are, go by the exact value or estimate if needed.
What is the average rate of change of the function y = cos(x) over the interval [0,2]?
Answer:
-0.708073 this is the exact answer im not sure if they want you to round or not
Step-by-step explanation:
Please help! I will give brainliest to the first correct answer!
Answer:
A)
Step-by-step explanation:
check that the formula in A works . . .
the 7th term should be 320
a(320) = 5(2)^7-1
= 5(2)^6
= 5(64)
= 320
what is the determinant of matrix |-8|?
Given:
The matrix is [tex][-8][/tex].
To find:
The determinant of given matrix, i.e, [tex]|-8|[/tex].
Solution:
If a matrix is A of order [tex]1\times 1[/tex], then the value of the determinant of that matrix is equal to the element of that matrix.
For example: Let A be the matrix of order [tex]1\times 1[/tex].
[tex]A=[a][/tex]
Then,
[tex]|A|=a[/tex]
The given matrix is [tex][-8][/tex]. So, the determinant of given matrix, i.e, [tex]|-8|[/tex], is
[tex]|-8|=-8[/tex]
Therefore, the value of determinant of given matrix is -8.
Evaluate 2n-6+5k/3(n-9) when n=4 and k=12
[tex]\huge\text{Hey there!}[/tex]
[tex]\textsf{If n = 4 and k = 12 the substitute it into the given equation.}[/tex]
[tex]\mathsf{\dfrac{2(4) - 6+5(12)}{3(4-9)}}[/tex]
[tex]\mathsf{2\times4=\boxed{\bf 8}}[/tex]
[tex]\mathsf{\dfrac{8-6+5(12)}{3(4-9)}}[/tex]
[tex]\mathsf{8-6=\boxed{\bf 2}}[/tex]
[tex]\mathsf{\dfrac{2+(5)(12)}{3(4-9)}}[/tex]
[tex]\mathsf{5\times12=\boxed{\bf 60}}[/tex]
[tex]\mathsf{\dfrac{2+60}{3(4-9)}}[/tex]
[tex]\mathsf{2+60=\boxed{\bf 62}}[/tex]
[tex]\mathsf{\dfrac{\bold{62}}{3(4-9)}}[/tex]
[tex]\mathsf{4 - 9=\boxed{\bf -5}}[/tex]
[tex]\mathsf{\dfrac{62}{3(-5)}}[/tex]
[tex]\mathsf{3\times-5=\boxed{\bf -15}}[/tex]
[tex]\mathsf{\dfrac{62}{\bf -15}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf -\dfrac{62}{15}}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What is domain? What is domain?
Answer:
wait I don't understand is this suppose to be a definition, City, or anything?
Answer:
ARN
Step-by-step explanation: