Wayne plans to replace the ventilating fand in the oldest greenhouse and needs to know its volume. The greenhouse is shaped of a half of a cylinder, Its diameter is 40 feet, Its length is 120 feet, using 3.14 for pi, how many cubic feet does the greenhouse enclose?
Answer:
628.
Step-by-step explanation:
We need to calculate the radius of the cylinder :
40/2 = 20 feet
We then will calculate the volume of the whole cylinder:
[tex]V = \pi * r^{2} * h = 3.14 * 20^{2} * 120 = 1256[/tex] cubic feet.
However, Wayne greenhouse is just a half of a cylinder, so it's volume are:
[tex]1256 / 2 = 628[/tex] cubic feet.
I'm vietanh and have a good day!
4. Rosa says, “Integers are
whole numbers and their
opposites.” She's correct.
Find the opposites of these
integers: 12, 29
Their opposites are
-12 and -29.
torso panel
Their opposites are
1
and 1.
12 29
torso panel
Answer:
-12,-29Step-by-step explanation:
if it is on a numbering . then write the inverse of the number given eg.1 = -1,2 = -2 etc.
ɪ ɴᴇᴇᴅ ʜᴇʟᴘ ᴡɪᴛʜ ᴛʜɪꜱ !
ᴍᴀᴛʜ ᴇxᴘᴇʀᴛꜱ ᴏɴʟʏ
Answer:
1.6
Step-by-step explanation:
an integer is defined as any positive or negative whole number.
1.6=16/10=8/5 . This is a fraction
0 is a whole number
8 is a whole number
-15 is a whole number
pls mark as brainliest. Thanks
HELP ASAP!!!
The line (y-1)=(2/3)(x+1) contains point (a,-3).
What is the value of a? Show
your work.
Answer:
-7
Step-by-step explanation:
The line (y-1)=(2/3)(x+1) contains point (a,-3)
=> (-3-1) = (⅔)(a+1)
-4 = (⅔)(a+1(
(a+1)= -4 ÷ ⅔
a + 1 = -4 × 3/2
a+ 1 = -6
a = -6-1
a = -7
The value of 'a' will be;
⇒ a = - 7.
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The equation of line is,
⇒ (y - 1) = (2/3) (x + 1)
And, The point on the line = (a, - 3)
Now,
Since, The point on the line = (a, - 3)
Hence, It satisfy the equation of line.
Substitute x = a and y = - 3, we get;
⇒ (y - 1) = (2/3) (x + 1)
⇒ (- 3 - 1) = (2/3) (a + 1)
⇒ - 4 × 3 = 2a + 2
⇒ - 12 - 2 = 2a
⇒ 2a = - 14
⇒ a = - 7
Thus, The value of a = - 7
Learn more about the substitution method visit:
https://brainly.com/question/26094713
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4. Complete the following explanation to show that the sum of two rational numbers a
rational number.
Let a,b,c and d be integers. Let x and y be rational numbers. Consider the following
expression:
* = and y =
The above expressions represent the
If x + y = y + x
represents the
then, we can use the
to show that x +y = 3+. Using the rule for addition of
fractions to write an equivalent expression for x + y = 4+we obtain
The product of two integers results in an integer, so bd, ad and cb are all integers. Also.
since the sum of two integers results in an integer, ad + cb is an integer. Therefore,
xty is
Helpppppppppppppppppppp
Answer:
Step 1
Step-by-step explanation:
[tex]7 \times (8 - 3\times 2)[/tex]
Step 1:
[tex] = 7 \times (8 - 6)[/tex]
Step 2:
[tex]7 \times 2[/tex]
Step 3:
[tex]14[/tex]
Product of (×-3)(2ײ-5×+1)
Answer:
The answer is 2x³+15x-6x²-2.
Step-by-step explanation:
(x-3)(2x²-5x+1)
2x³+1-6x²+15x-3
= 2x³-2+15x-6x²
Estimate the value of the following to the tenths decimal place.
Answer:
-12.2
Step-by-step explanation:
-12.247448....
-12.2
plss mark me brainliesttt
-13 = [tex]\frac{r}{9}[/tex] +8
what is r?
Answer:
[tex] - 13= \frac{r}{9} + 8 \\ \frac{r}{9} = - 13 - 8 \\ \frac{r}{9} = - 21 \\ r = 9 \times - 21 \\ r = - 189[/tex]
I hope I helped you^_^
What is the constant of variation for y= 2/5x
Answer:
Step-by-step explanation:
This equation is of the form y = kx, where k is the constant of variation. In our case, this is 2/5. One thing that separates a direct variation from simply a line (although a direct variation does in fact represent a line when graphed), is that the graph of a direct variation will ALWAYS go through the origin. That means that it will never have the "+ k" at the end of its equation and its y-intercept is always 0.
more algebra............
Answer:
C
Step-by-step explanation:
this is the answer since it involves a minus sign
HELP PLS: If f(x) = 2x – 3 and g(x) = 2x2 + 5x + 1, find:
a. f(4) + g(1)
Answer:
13
Step-by-step explanation:
f(x) = 2x - 3,
f(4) = 2(4) - 3,
f(4) = 5
g(x) = 2x^2 + 5x + 1,
g(1) = 2(1)^2 + 5(1) + 1,
g(1) = 2 + 5 + 1,
g(1) = 8
f(4) + g(1) =
5 + 8 =
13
Hope this helps :)
Answer:
Step-by-step explanation:
arrange 7 people into group(s) such that a group must have at least 3 people?
7 people can be divided into 2 groups, the first group having 4 people; and the second group having 3 people.
simplify the problem thank you
Answer:
-5
Step-by-step explanation:
(-5)(-5)(-5)=-125
Given the expression:
[tex] \displaystyle \large{ \sqrt[3]{ - 125} }[/tex]
Definition:
[tex] \displaystyle \large{ y = \begin{cases} \pm \sqrt[n]{x} \longrightarrow n = (2,4,6,8,...) \: \: (x \geqslant 0) \\ \sqrt[n]{x}\longrightarrow n = (1,3,5,7,...) \: \: (x \in \R) \end{cases}}[/tex]
First, factor the -125. -125 comes from (-5)×(-5)×(-5) or (-5)^3.
[tex] \displaystyle \large{ \sqrt[3]{ ( - 5) \times ( - 5) \times ( - 5)} }[/tex]
Because if (-5)^2 = 25 then 25×(-5) again will be -125.
Since this is the cube root, we have to pull out 3 terms in one. There are 3 fives that we can take off and therefore,
[tex] \displaystyle \large \boxed{ - 5}[/tex]
p- (9-(m + q)); use m=4, p=5, and q=3
Answer:
3
Step-by-step explanation:
p-(9-(m+q))
5-(9-(4+3))
=5-(9-7)
=5-2
=3
Hiii! can someone please help me with my maths question
Form a quadratic equation and find the length of AB
Step-by-step explanation:
a^2 + b^2 = c^2
(x+2)^2 + 4x^2 = (3x+4)^2
(x+2)(x+2)+ 4x^2= (3x+4)(3x+4)
x^2 + 2x + 2x + 4 + 4x^2 = 9x^2 + 12x + 12 x + 16
5x^2 + 4x + 4 = 9x^2 + 24x + 16
-4x^2 - 20x - 12 = 0
now we can use the quadratic formula
(-b±√(b²-4ac))/(2a)
I can't type all this so
.....
x = -0.697224362 or -4.302775638
AB can't be negative so it's the first one
so it's equals to 1.302775638
what does it mean when a chance event has a probability of 4/4
Answer:
When the probability of something happening is 4/4, it means that the probability of that thing happening is 1
When the probability of an event happening is 1, it means that that the event is going to happen and there is no chance of the event not happening.
Where is the blue dot on the number line?
-4.5
-5
-5.5
Answer:
the answers is -4.9
Step-by-step explanation:
if you count from -4.5 to the blue dot it will be -4.9
What are the missing numbers on the two number lines?
Answer:
C is -14, 7, 14, 28
not sure what D is
Step-by-step explanation:
A rectangle has perimeter 66 cm and length 27 cm. What is its width?
(help pls it’s my hw)
Answer:
Step-by-step explanation:
A rectangle has the perimeter of 66cm, and since a rectangle has 2 lengths and 2 widths, we can tell that 2 widths = 66-27*2 = 12
so 1 width is half of 12 which is 6
Which shape fits the description below?
A six-sided figure with three pairs of parallel sides.
X.
Y.
Z.
OA. The shape is nonexistent.
ОВ.
Y
OC. Z
D. X
Cindy multiple her age by 5, subtracted 12, and then divide by 3. The result was 16. How old is Cindy?
Let's give Cindy's age a variable.
Cindy's age = x
Cindy multiplies her age by 5
x(5)
Subtracted by 12
x(5) - 12
Divide by 3
(5x - 12)/3
The result was 16
(5x - 12)/3 = 16
Let's solve
Multiply both sides by 3
(5x - 12) = 48
Open brackets
5x - 12 = 48
Add 12 to both sides
5x = 60
Divide by 5 on both sides to isolate x
x = 12
Cindy is 12 years old.
For the equation, x - 7 = 24, can a value be substituted for x to make the equation a true number sentence?
Answer:
yes, 31
Step-by-step explanation:
just switch the equation around:
24+ 7 = 31
and then back again:
31- 7= 24
What is the quotient of 8,595 ÷ 24?
its 3 hope this helpssss
Factor this polynomial completely.
x2 - 81
Find x. Simplify completely.
х
9
10
Answer:
10
Step-by-step explanation:
geometric mean theorem :
h = sqrt(pq)
p, q being the segments on the Hypotenuse of the right-angled triangle.
so, x = sqrt(9×10) = 3×sqrt(10)
find the cube of a+3
Answer:
(a+3)^3
a^3 + b^3 + 3ab [identity : (a+b)^3 )]
a^3+ 3^3 + 3×a×3
a^3 +27+9a
answer : a^3+27+9a
hope it helps you
mrk me braniliest plz
Answer:
[tex] {a}^{3} +9 {a}^{2} +27a+27[/tex]
Step-by-step explanation:
[tex](a + 3 {)}^{3} [/tex]
[tex] {a}^{3} +3 {a}^{2} \times 3+3a \times {3}^{2} + {3}^{3} [/tex]
[tex] {a}^{3} +9 {a}^{2} +3a× {3}^{2} + {3}^{3} [/tex]
[tex] {a}^{3} +9 {a}^{2} +27a+ {3}^{2} [/tex]
[tex] {a}^{3} +9 {a}^{2} +27a+27[/tex]
Hope it is helpful...formula to calculate area of quadrilateral when Co ordinates are given please answer it anyone please...
[tex]\sf \orange {Please \: attach \: the \: picture \: of \:}[/tex]
[tex]\sf \green {the \: Quadrilateral \: please.} \: [/tex]
1.
Input
Output
-5
0
1
2
(2,0)
% (-5,314)
1 27
3,87
2
3
8
a. Is the relation a function? Explain
Which equation has the correct sign on the product?
A. (-11)9 = 99
B. (-12)(-12) = 144
C. 17 x 3 = -51
D. 25(-5) = 125
Answer:
B. (-12)(-12) = 144
Step-by-step explanation:
A. (-11)9 = 99 Negative * positive = negative
B. (-12)(-12) = 144 negative * negative = positive
C. 17 x 3 = -51 positive * positive = positive
D. 25(-5) = 125 positive* negative = negative
Answer:
B. (-12)(-12) = 144
Step-by-step explanation: