Answer:
942m^3
Step-by-step explanation:
Given data
Radius of cone= 5m
Height= 12 m
We know that volume of a cone is given as
V= πr^2h
V= 3.14*5^2*12
V= 3.14*25*12
V= 942 m^3
Hence the volume is 942m^3
An n-sided polygon has one interior angle of 90°. The other interior angles are all equal.
If the size of one of the equal angles is 150°, calculate the value of n.
For the linear function f(x) = -2x+1 , find the following
a. Slope and Y-intercept.
b. Is the function increasing, decreasing, or constant, justify your answer.
c. Graph the function, label x, and y-intercepts.
Given:
The function is:
[tex]f(x)=-2x+1[/tex]
To find:
a. Slope and Y-intercept.
b. Is the function increasing, decreasing, or constant, justify your answer.
c. Graph the function, label x, and y-intercepts.
Solution:
a. We have,
[tex]f(x)=-2x+1[/tex] ...(i)
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(ii)
Where, m is the slope and b is the y-intercept.
On comparing (i) and (ii), we get
[tex]m=-2,b=1[/tex]
Therefore, the slope of the line is -2 and the y-intercept is 1.
b. If the slope of a linear function is negative, then the function is decreasing.
If the slope of a linear function is positive, then the function is increasing.
If the slope of a linear function is 0, then the function is constant.
The slope of the linear function is negative.
Therefore, the function is decreasing.
c. We have,
[tex]f(x)=-2x+1[/tex]
At [tex]x=0[/tex], we get
[tex]f(0)=-2(0)+1[/tex]
[tex]f(0)=1[/tex]
So, the y-intercept is at (0,1).
At [tex]f(x)=0[/tex], we get
[tex]0=-2x+1[/tex]
[tex]2x=1[/tex]
[tex]x=\dfrac{1}{2}[/tex]
[tex]x=0.5[/tex]
So, the x-intercept is at [tex]\left(0.5,0\right)[/tex].
Plot the points [tex](0,1), \left(0.5,0\right)[/tex] and connect them by a straight line as shown below:
What is the equation of direct variation given that y is 16 when x is -2
A x= -8y
B y = 8x
C y= -8x
D y= -1/8 x
/\
| It means one eighth as a fraction
Answer:
C.
explanation:
I just know.
Answer:
c
Step-by-step explanation:
y=-8x
THALES’ THEOREM: If A, B, and C are three different points on a circle with a diameter line AB, then ∠ABC is a right angle True or false
Answer:
your question is that true
Step-by-step explanation:
my answer is false
What is the surface area of a cone with a 6 in. diameter and a length (slant height) of 8 in?
A. 11in^2
B. 75in^2
C. 104in^2
D. 179in^2
Answer:
The formula of a surface area of a cone:
SA=pi rl+\pi r^2SA=pirl+πr
2
r - radius
l - slant height
We have the diameter d = 6 in and a slant height l = 8 in.
d=2r\to r=6in:2=3ind=2r→r=6in:2=3in
Substitute:
SA=\pi(3)(8)+\pi(3^2)=24\pi+9\pi=\boxed{33\pi\ in^2}SA=π(3)(8)+π(3
2
)=24π+9π=
33π in
2
Answer:
Hello there,
So the answer is C,
The real result is approximately 103,53 and by rounding up the result to the nearest inch, we find C!
PLEASE MAKE SURE TO GIVE ME BRAINLIEST THX <3
Simplify the sum. State any restrictions on the variable.
Answer:
2/z
Step-by-step explanation:
Add 5 and 7
The answer will be 12
12/6z
Since both the numerator and denominator is divisible by 6 divide 6 on both the numerator and denominator
2/z
The answer is 2/z
Hope this helps!
mr.lewis shared 3/4 of a loaf of bread equally aming her children what fraction of the whole loaf would 4 of her children recieve in total
Answer:
3/16 or in decimal 0.1875
Step-by-step explanation:
NEED HELP PLZ!!!!!!George and John travel 392 miles in 7 hours. If they travel at the same rate, how long will it take them to travel 728 miles?
a) Find their rate: _____ mph
b) It took them ____ hours to travel 728 miles
Answer:
Step-by-step explanation:
a. Find the unit rate, or how many miles they traveled in one hour, by dividing:
[tex]\frac{392}{7}=56 mph[/tex]
b. Now that we know how fast they were going, we can use it in either a proportion or in the d = rt equation. For the proportion set up, put miles on the top and hours on the bottom and solve for the unknown:
[tex]\frac{mi.}{hr}:\frac{56}{1}=\frac{728}{x}[/tex] and cross multiply to solve for x:
56x = 728 so
13 hours.
Now use the d = rt equation:
728 = 56t so
t = 13 hours
Find (-14
-14
14
7
-7
Answer:
21
Step-by-step explanation:
If the perimeter of a square is 28 inches and the area of the square is (x2 + 4x + 4) square inches, where x is a positive number, what is the value of x?
Answer:
If the perimeter of a square is 28 inches and the area of the square is (x2 + 4x + 4) square inches, and x is a both a real and a positive number, then the value of x must be 5.
Step-by-step explanation:
All sides of a square are equal length.
The area of a square is the side length squared.
perimeter p, side length s, area a, and variable x.
p = 28. s = ? a = x^2 + 4x + 4. x = ?
p = 28
p = 4s.
28 = 4s.
7 = s.
a = s^2.
s = 7.
a = 7^2.
a = 49.
a = x^2 + 4x + 4.
a = 49.
x^2 + 4x + 4 = 49.
factor x^2 + 4x + 4.
(x+2)(x+2) = 49.
(x+2)^2 = 49.
√ ((x+2)^2) = √49.
take positive answer.
x+2 = 7
x = 5.
The diagram shows different forms of thermal energy transfer.
What do the flames below the pot represent?
What is the yintercept of the line given by the equation y = 3x + 4???? !!!!
Answer:
Step-by-step explanation:
y = 3x+4
Let x = 0 to find the y intercept
y = 3*0+4
y =4
The y intercept is 4
Answer:
4
Step-by-step explanation:
Slope equation: y=mx+b
m=slope
x=rate of change
b=y-intercept
If this helps please mark as brainliest
Find the m RP value
Answer:
arcm<RP = 136degrees
Step-by-step explanation:
From the given circle;
<Q = 1/2arc mRP
Given
<Q = 68degrees
68 = 1/2 arcM<RP
2 * 68 = arcm<RP
136 =arcm<RP
arcm<RP = 136degrees
I need help asap plz.
what are the domain and range of the function represented by the set of the ordered pairs?
Find the area of the triangle
Answer:
Hello! answer: 84 sq mm
Step-by-step explanation:
To find triangle area we would do
base × height × 1/2 or
base × height ÷ 2 So...
14 × 12 = 168 168 ÷ 2 = 84 therefore the area is 84 sq mm HOPE THAT HELPS!
Using the figure at the left, complete the extended similarity statement:
ΔUVW ∼ Δ _______ ∼ Δ __________
Answer:
[tex]\triangle {UVW} \sim \triangle {UVA} \sim \triangle {UAW}[/tex]
Step-by-step explanation:
The triangles UVW, UVA and UAW, since all three are right angles and have the same combination of angles, meaning the existence of proportionality between corresponding lengths. That is:
[tex]UA \propto AV \propto UV[/tex], [tex]AW \propto UA \propto UW[/tex], [tex]UW \propto UV \propto WV[/tex]
Hence, the complete similarity statement is:
[tex]\triangle {UVW} \sim \triangle {UVA} \sim \triangle {UAW}[/tex]
What is the value of B for the following triangular prism?
120 cm 2
60 cm 2
5 cm 2
2.5 cm 2
Step-by-step explanation:
[tex] \frac{1}{2} (10)(12) \\ \frac{1}{2} (120) \\ 60 {cm}^{2} [/tex]
Write the equation of a line that passes
through point (-5,3) and is perpendicular to
y=3/5x +2.
Answer:
[tex]y=-\frac{5}{3}x-\frac{16}{3}[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals (ex. 2 and -1/2, 4/3 and -3/4, etc.)1) Determine the slope (m)
[tex]y=\frac{3}{5} x +2[/tex]
From the given equation, we can see that [tex]\frac{3}{5}[/tex] is the slope of the line since it's in the place of m. Because perpendicular lines always have slopes that are negative reciprocals, the line we're currently solving for would have a slope of [tex]-\frac{5}{3}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-\frac{5}{3}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-\frac{5}{3}x+b[/tex]
Plug in the given point (-5,3)
[tex]3=-\frac{5}{3}(-5)+b\\3=\frac{25}{3}+b[/tex]
Subtract [tex]\frac{25}{3}[/tex] from both sides to isolate b
[tex]3-\frac{25}{3}=\frac{25}{3}+b-\frac{25}{3}\\-\frac{16}{3} = b[/tex]
Therefore, the y-intercept is [tex]-\frac{16}{3}[/tex]. Plug this back into [tex]y=-\frac{5}{3}x+b[/tex]
[tex]y=-\frac{5}{3}x+(-\frac{16}{3})\\y=-\frac{5}{3}x-\frac{16}{3}[/tex]
I hope this helps!
1/2 (n + 4) = 6 whats n?
Answer:
n=8
Step-by-step explanation:
1/2 (n + 4) = 6
n+4=12
n=8
Marianna’s company received 1,240 orders for her handmade gift baskets. If her company can complete 98 orders in a day, how many days will it take to complete all of the orders?
Answer:
13 days
Step-by-step explanation:
1240 divided by 98 is 12.65... and you need to answer in whole days so its 13
23% of what number is 46?
Answer: 200
Step-by-step explanation:
first, you set up your proportion. (23% at the top right, 100 at the bottom right, 46 at the top left, and x and the bottom left.) next, you multiply x * 23% = 23x then 46*100 = 4600. 4600 divided by 23 = 200. therefore, x = 200. please let me know if you have further questions!
Good luck !
which of the following statements is not always true?
a + (-b ) = -b + a
(a + b) + (-c) = a + [b + (-c)]
-(-a) = a
a - (-b) = (-b) -a
Step-by-step explanation:
The answer is a - (-b) = (-b) - a
for example if we take;
a = 4
b = 2
c = 2
and we replace;
4 - ( -2) = (-2) - 4
6 = -6
which is not true....
All the remaining are true....
even u can just use the values of abc and check if its true....
What is the surface area of the cylinder shown? Use 3.14 for pie. 4cm for the Radius, and 9cm for the height.
Answer:
326.73cm²
Step-by-step explanation:
=
2
π
r
h
2
π
r
2
=
2
π
4
9
2
π
4
2
≈
326.72564cm²
What is the value of x in the diagram?
у
X
X-20
Answer:
y= 35⁰
x = 55⁰
Step-by-step explanation:
total angle of triangle is 180⁰
therefore we can equate:
x + (x-20) + 90 = 180
2x + 70 = 180
x = 55⁰
total of x and y is equal to 90⁰ since it is a right angle;
x + y = 90
x = 55⁰
55⁰ + y = 90
y = 35⁰
help me plsss :( math
The two diagonal lines cross at the center point so each section of the lines are identical:
3x + 3 = 4x -4
Add 4 to both sides:
3x + 7 = 4x
Subtract 3x from both sides:
X = 7
The answer is x = 7
Answer:
x = 7
Step-by-step explanation:
KU = UM
as the center of a rectangle bisects the diagonal
3x + 3 = 4x - 4
7 = x
x = 7
A basketball has a diameter of 9.40in find the volume of the basketball
Answer:
Volume = 434.89
Step-by-step explanation:
Answer.
Answer:
Half of 9.4 is 4.7
4.7^3(radius cubed) = 103.823
103.823 x 3.14(pi) = 326.00422
326.00422 x 4/3 = 434.672293333 rounded = 434.67
Step-by-step explanation:
Volume Of Sphere Formula:
4/3 x pi(3.14 or 22/7 OR ANY NUMBER depending on what they tell you to use for pi) x radius(half of your diameter or given radius)^3(cubed, to the power of 3)
4/3 x pi x radius cubed
S = {x | x is a multiple of 4 and 9 ≤ x < 37}
Which set is equivalent to S?
A) {8, 12, 16, 20, ...}
B) {8, 12, 16, ..., 36}
C) {9, 12, 16, ..., 37}
D) {12, 16, 20, 24, ...}
E) {12, 16, 20, ..., 36}
PLEASE HELP RNNNN
Answer: the answer is either e or d but I guessed d
Step-by-step explanation:
The equivalent set to set S will be {12, 16, 20, ..., 36} thus, option (E) is correct.
What is a set?A set is a collection of distinct values where each variable's meaning must be the same.
For instance, the set of natural numbers 1, 2, 3, 4, 5, and 6 is made up of variables that each represent a different natural number.
As per the given,
x is the multiple of 4,
4,8,12..
But is it restricted in the domain as, 9 ≤ x < 37
Thus, {12, 16, 20, ..., 36} will be correct.
Hence "The equivalent set to set S will be {12, 16, 20, ..., 36}".
To learn more about the sets,
brainly.com/question/8053622
#SPJ2
Net income was 89400; accounts receivable decreased by 24000; inventory increased by 14400; proceeds from the issuance of long-term debt were 30000
Answer:
Net cash provided by operating activities = $135,800
Step-by-step explanation:
Given:
Net income = 89400
Accounts receivable decreased = 24000
Inventory increased = 14400
Issuance of long-term debt = 30000
Missing data;
Accounts payable decreased = $8,200
Equipment purchases = 100,000
Depreciation and amortization expense = $45,000
Find:
Net cash provided by operating activities
Computation:
Particular Amount
Net Income 89400
Add Amortization 45000
Net income before non cash expenses 134400
Add Decrease in AR 24000
Less Increase in inventory 14400
Less Decrease in AP 8200
Net cash provided by operating activities $135,800
The sum of two numbers is 90. Their difference is 18. Find
the numbers.
Answer:
36 & 54
Step-by-step explanation:
By Question :-
Sum of numbers = 90 .Difference of numbers = 18 .Let :-
First Number be x .Second number be y .According to 1st condition :-
[tex]: \implies[/tex] x + y = 90
According to 2nd condition :-
[tex]: \implies[/tex] x - y = 18
Adding the equations :-
[tex]: \implies[/tex] 2x = 18 + 90
[tex]: \implies[/tex] 2x = 108
[tex]: \implies[/tex] x = 54
Therefore :-
[tex]: \implies[/tex] First number = 54
[tex]: \implies[/tex] Second number = 36
Answer:
6 x 15
Step-by-step explanation:
brainliest
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