A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. A solid oblique cone with a slant length of 17 units is inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. What is the unfilled volume inside the cylinder
Answer:
C. 640π cubic units
Construct 45° by using set square
Place 45
∘
set-square and make an angle of 45
∘
by drawing the rays BD and BC
Petra invests $10,800. After 4 years she has earned $3240 in interest.
At what annual rate of interest did she invest her money?
Answer:
Rate =interest*100/principal*time
Rate = 7.5%
Step-by-step explanation:
At 7.5 % annual rate of interest did she invest her money.
What is rate of interest?The percentage usually on an annual basis that is paid by the borrower to the lender for a loan of money is called rate of interest.
Given
Principal P = $10800
Time t = 4 years
I = 3240
Interest = [tex]\frac{P\times r \times t}{100}[/tex]
[tex]3240 = \frac{10800\times r \times 4}{100}[/tex]
[tex]r= \frac{3240\times 100}{10800\times 4}[/tex]
r = 7.5 %
At 7.5 % annual rate of interest did she invest her money.
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please help i don’t really understand.
Answer:
It shows that RT and PQ are the same because the are at one point and they are vertically opposite angles
3 Five friends shared 8 1/3 pounds of apples equally. How many pounds of apples did each person get?
Answer:
a fruit seller buys 712 fruits ,of which 3/4 are apples. of all apples that he bought 1/3 were found to be rotten. if he sold all the good apples at Rs.5 1/4 each.
Help me pls i have to finish my homework i have more questions to post too
Step-by-step explanation:
16)(a²-b)÷6
subtitute a and b above:
={(5)²-1}÷6
=(25-1)÷6
=24÷6
=4
18)y-(4-x-y÷2)
subtitute x and y above:
=2-(4-3-2÷2)
=2-(4-3-1)
=2-(4-4)
=2-0
=2
Note:if you need to ask any question please let me know.
Simplify. 1/3(1−1/4)2 Enter your answer, as a simplified fraction, in the box.
Answer:
3/ 16
Step-by-step explanation:
I hope this helps :)
Express the perimeter of a square as a
function of its area.
Answer:
perimeter of a square =side side
If the original ordered pair in a shape was ( 3, 4), what would the new ordered pair be after a Dilation with a scale factor of 2 ?
Answer:
(6, 8 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin, then multiply the coordinates by the scale factor 2, that is
(3, 4 ) → (2(3) , 2(4) ) → (6, 8 )
Can someone plz help me?
Answer:
c
Step-by-step explanation:
[tex] \frac{1}{6} mile = 1hour \\ \frac{1}{5} mile = xhour \\ \frac{1}{6} x = \frac{1}{5} \\ x = \frac{1}{6} \div \frac{1}{5} \\ \frac{1 }{6} \times \frac{5}{1} = \frac{6}{5} [/tex]
pls mark brainliest
raise the quotient of y and 5 to the 2nd power
Answer:
I'm guessing y is numerator and 5 is denominator. so y^2/25
Step-by-step explanation:
so if you have the fraction y/5 and you need to square it or raise to the second power you get (y/5)^2. now using the properties of exponents when you get a fraction and need to raise it to a power you square the denominator and numerator which gets you y^2/25. now let's check if it works we can use 5 for y so (5/5)^2 is equal to 25/25 = 1. or (10/5)^2 which is 2^2 = 4. or 100/25 which is 4. so the equation works for the expression.
A video game set can be bought on hire purchase by making a deposit of $190 and 12 monthly installments of $171 each. Calculate the hire purchase price cost of the video game set.
Answer:
the purchase price would be $2142
Step-by-step explanation:
90+171×12
18. What is the least common denominator of the following
fractions? 3/10 and 1/4
Answer:
20
The denominators of 3 /10 and 1 /4 are 10 and 4.
The factors of 10 are 2 × 5 and 2 × 2
Therfore the LCD should have two 2's and one 5.
This means the answer is:
2 × 2 × 5 = 20
I hope this helps :)
2. When a number n is subtracted from 18
and the difference is divided by n, the
result is 2. What is the value of n?
(A) 4
(B) 6
(C) 8
(D) 10
(E) 14
Answer:
e) 14
Step-by-step explanation:
(18-n)/2 = 2
18-n = 4
-n = -14
n = 14
The value of n when n is subtracted from 18 and the difference is divided by n, the result is 2 is 6.
What is Algebra?The representation of mathematical statements as solutions to problems is the focus of the branch of mathematics known as algebra. Mathematical operations like addition, subtraction, multiplication, and division are combined with variables like x, y, and z to produce a meaningful mathematical statement.
Given:
When a number n is subtracted from 18
=(18- n)
and, the difference is divided by n
=(18 - n)/n
so, result is 2
(18 - n)/n = 2
18 - n = 2n
3n = 18
n= 18/3
n= 6
Hence, the value of n is 6.
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Karma spends two fifth hours every day learning music.how maby hours does she spends learning music in a week?
Answer:
17.5
Step-by-step explanation:
i need help im timed plzz right anwsers only
Answer:
the second option is correct
tell whether the two fractions form a proportion 3/4 and 16/20
Answer:
check by cross multiplication
3*20 = 4*14
60 ≠ 56
no does not form a proportion
Step-by-step explanation:
SOMEONE WHO LIKES MATHS OR CAN DO IT PLS HELP COZ THIS IS SO CONFUSING:((. do the ones you know !! I’ll brainlist:)
a) c + y = 10 + 11 = 21
b) q + b + r = -14 + (-7) + (-13) =
= -(14 + 7 + 13) = -34
c) 8x + 3z = 8 · 9 + 3 · 4 = 72 + 12 = 84
d) 6a + 5b = 6 · (-1) + 5 · (-3) = -6 - 15 = -21
e) -9y + 2z = -9 · (-5) + 2 · (-7) = 45 - 14 = 31
f) -3t + 4y + s = -3 · 8 + 4 · (-2) + (-2) =
= -24 - 8 - 2 = -(24 + 8 + 2) = -34
g) y² + c = 4² + 7 = 4 · 4 + 7 = 16 + 7 = 23
h) a² + x = (-10)² + (-8) = 100 - 8 = 92
i) b + 2y² = 2 + 2 · 6² = 2 + 2 · 36 =
= 2 + 72 = 74
j) 3y² - 3z = 3 · 6² - 3 · (-7) = 3 · 36 + 21 =
= 108 + 21 = 129
Write as an algebraic expression five times the sum of a number and 4
Answer:
5(x+4)
Step-by-step explanation:
It's basically asking for the sum of a number and four to be multiplied by 5. Since the sum is made up of the unknown number and four, you'd put four and the unknown number in parenthesis while putting five on the outside, making it 5(x+4).
1.10.3 Test (CST): Coordinate Geometry
Question 10 of 25
What is the area of a square with sides of length 9?
A. 54 square units
B. 81 square units
C. 36 square units
O D. 18 square units
SUBMIT
The area of a square with sides of length 9 is 81 square units.
What is an area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
The space enclosed by the boundary of a plane figure is called its area.
The area of a figure is the number of unit squares that cover the surface of a closed figure.
Given that, a square with side length of 9 units, we need to find its area, We know that, the area of a square is given by the square of it side, so Area = side²
Area of the given square = 9²
= 9 x 9
= 81 sq. units
Hence. the area of a square with sides of length 9 is 81 square units.
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A company needs two loads of sand to make an indoor beach area for an employee picnic. One load of sand weighs 5 tons and the second load weighs 7,000 pounds. What is the total weight of the sand, in pounds, used for the beach area? *college mathematics*
Answer:
17000 pounds
Step-by-step explanation:
5 tons = 1 load
7000 pounds = 2 load
5*2000 = 10000 pounds
10000 + 7000 = 17000 pounds
what is the value 36x-8y to the second power when x=3 and y= -6?
Answer:
If they do , then the values of y yo does not satisfy R ' = 0 , : ' y is ... be an equation of the second degree , - R ' = ( - 3 y ' + 8y - 5y ) x + 2y + + ...
https://www.algebra.com › tutors
Recent problems solved by 'mrduffner' - See tutors' answers!
3. Again combine. +3x+%2B+8=+-x+-+8+ 4. Isolate the variable. +2x+=+-16+ 5. Divide & solve. x+=+-8 ... Y to the second power is just that, y%5E2 .
IT IS ONE
Factorize:a^2+2ab+b^2-c^2
Answer:
(a + b)^2 — c^2
(a+b+c) ( a + b — c )
What is the volume of a crystal in the shape of a pyramid with a base (b) measuring 4 cm and a height (h) of 5 cm?
Answer:
2 (L+B)
2 (4+5)CM
2×9
18cm
If a*b means 2a + b , then what is 2*5 ?
7
9
12
14
none of these
Answer:
9
Step-by-step explanation:
let a = 2
b = 5
2a + b
Substituting the values,
=> 2(2) + 5
=> 4 + 5
=> 9
Let us consider that a = 2 ; b = 5
So, 2a + b
Substitute,
2a + b
→ 2×2 + 5
→ 4 + 5
→ 9
Hope it helps you...
Answered by Benjemin
20 Points!! Please help me with these, I need them done SOON!! Thanks <3
Answer:
f(x) = ∣x∣
A.)
f(x) = 3√x
E.)
Fist one is A and second is E
Step-by-step explanation:
Have a nice day! :-)
What are the coordinates after a 90 degree clock-wise rotation around the point (1, 4)?
Answer:
Im pretty sure it's (-4,-1)
if (x+30°) and (180°-2x) are vertically opposite angles . Find the value of x .
Answer:
50
Step-by-step explanation:
x + 30 = 180 - 2x [vertically opposite angles]
x = 180 - 30 - 2x
x = 150 - 2x
x + 2x = 150
3x = 150
x = 150/3
x = 50
Can someone pls help me with 1,4,5 and 6
Answer:
(-1,4)
Step-by-step explanation:
from,
midpoint (x,y) =(x1+x2)/2, (y1+y2)/2
=(-5+7)/2, (5+3)/2
=(-1,4)
the midpoint is (-1,4)
16. Natural numbers are closed under division. True or false
Answer:
Step-by-step explanation:
False
First you have to know what a natural number is.
They are all the integers from 1 to infinity.
Naturally they are closed for addition. 3 + 9 = 12. You can make as many examples as you like. You will not get anything outside the natural numbers.
3934859433993393390 + 4 + 22 is still going to give you a natural number.
Subtraction is a different matter.
44 - 100 is not in the natural number system.
Multiplication is OK.
5555 * 44444 still is a member of the natural numbers.
What about division? Remember, all you need is one example that doesn't work to say that the natural numbers aren't closed. Ready. How about
33/83?