Answers
Answer:
Volume of triangular prism is given by formula
Volume of triangular prism = (Area of the base) x 12 (height of the prism)
now plug the given values
216= (area of the base) x 12
216/12 = area of the base
18= area of the base
so, the answer is 18 square cm
Related Questions
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
Answers
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
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
Answers
Answer:
C.
explanation:
I just know.
Answer:
c
Step-by-step explanation:
y=-8x
I need help asap plz.
Answers
Find (-14
-14
14
7
-7
Answers
Answer:
21
Step-by-step explanation:
Find the area of the triangle
Answers
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!
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?
Answers
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.
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
Answers
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
Using the figure at the left, complete the extended similarity statement:
ΔUVW ∼ Δ _______ ∼ Δ __________
Answers
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]
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.
Answers
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:
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
Answers
Answer:
3/16 or in decimal 0.1875
Step-by-step explanation:
Write the equation of a line that passes
through point (-5,3) and is perpendicular to
y=3/5x +2.
Answers
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!
A basketball has a diameter of 9.40in find the volume of the basketball
Answers
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
What is the surface area of the cylinder shown? Use 3.14 for pie. 4cm for the Radius, and 9cm for the height.
Answers
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 yintercept of the line given by the equation y = 3x + 4???? !!!!
Answers
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
1/5 divided by 2 = ___
Answers
Answer:
0.1
Step-by-step explanation:
According to my calculator lol
Answer:
1/10
Step-by-step explanation:
1/5 / 2/1
1*1/5*2
=1/10
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
Answers
Answer:
your question is that true
Step-by-step explanation:
my answer is false
Work out the circumference of a circle with radius 6.5cm
Answers
Answer:
circumference=13π cm (see below if you need π approximated)
Step-by-step explanation:
Hi there!
The formula for the circumference of a circle is given as 2πr, where r is the radius and π is pi
we are given that the radius of the circle is 6.5 cm
substitute what we know into the equation:
circumference=2πr
circumference=2π*6.5
circumference=13π cm
some places will accept the answer as 13π, but others ask to have π substituted, usually as 3.14 or 22/7
if you need π substituted as 3.14, the answer will be 40.82 cm
if you need π substituted as 22/7, the answer will be about 40.86 cm
Hope this helps! :)
The simple interest on 400 invested for 4 month was 12.what is the yearly rate of interest
Answers
Answer:
9%
Step-by-step explanation:
If you get 12 for 4 months, then you get 36 for the year/12 months
Annual interest is $12 x 3 Months =36
36/400=9%.
help me plsss :( math
Answers
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
Which of the following best describes area?
A. Distance
B. Cover
C. Fill
D. Time
Answers
Answer:
I dont know
Step-by-step explanation:
oop
Answer:
I think it would not be fill since i think that would be referring to volume so it would most likley be B.cover
Answer- Cover
Step-by-step explanation:
none really
1/2 (n + 4) = 6 whats n?
Answers
Answer:
n=8
Step-by-step explanation:
1/2 (n + 4) = 6
n+4=12
n=8
what are the domain and range of the function represented by the set of the ordered pairs?
Answers
23% of what number is 46?
Answers
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 !
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
Answers
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
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.
Answers
For a regular polygon:
Each exterior angle = 360 / n
Each interior angle = 180 - 360/n
So sum of interior angles = n(180 - 360/n) = 180n - 360
For your polygon the sum of the interior angles = 90 + 150(n - 1) = 90 + 150n - 150 = 150n - 60
So 180n - 360 = 150n - 60
180n - 150n = -60 + 360
30n = 300
n = 10
The function f (x) = 2* and g(x) = f(x) + k. if k = 2, what can be concluded about the graph of
g(x)?
the graph of g(x) is shifted vertically
Select a Value
the graph of g(x) is shifted horizontally
Select a Value
Answers
Answer:
g(x) shifted vertically by 2, no horizontal shift
Step-by-step explanation:
Any addition outside the function creates a vertical shift of the same value. Addition within the function moves the graph in the horizontal direction but opposite.
The diagram shows different forms of thermal energy transfer.
What do the flames below the pot represent?
Answers
Simplify the sum. State any restrictions on the variable.
Answers
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!
Pls, help with this question
Answers
Answer:
[tex]m\text{ arc BC} =32\\m\angle 2=16\\m\angle3=74\\m\angle4=74\\m\angle5=16[/tex]
Step-by-step explanation:
Arc BC is the intercepted arc for the central angle COB, so its measure is the same as the central angle.
Angle 2 is an inscribed angle, so its measure is half the measure of the intercepted arc BC.
Angles 3 and 4 are congruent inside an isosceles triangle (OB = OC, both radii), and the sum of all angles in triangle COB is 180 degrees, so
180 - 32 = 148 (sum of angles 3 and 4)
Each of angles 3 and 4 measure half that remaining 148 degrees.
Angle 5 is one of two congruent angles in an isosceles triangle AOC (OA = OC) so its measure is that of angle 2.
The sum of two numbers is 90. Their difference is 18. Find
the numbers.
Answers
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:
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