Answer:
Volume of the prism = 444 cm³
Step-by-step explanation:
Volume of the pyramid is given by the expression,
Volume = [tex]\frac{1}{3}(\text{Area of the base)}(\text{Height})[/tex] = 148 cm³
⇒ (Area of the base)×(Height) = 3×148
= 444
Since, area of the base and height of a prism are the same as pyramid,
Volume of prism = Area of the base × Height
= 444 cm³
Therefore, volume of the prism = 444 cm³
does the equation define y as a function of x? y^2 = 7 - x^2
Please help me with this asap if you can.
Answer:
The first box plot is for group 2
The second box plot is for group 1
The third box plot is for group 3
The circumference of a circle can be found using the formula C = 2r.
Which is an equivalent equation solved for r?
r = C
r = C(2)
r = r equals StartFraction C Over 2 pi EndFraction.
r = r equals StartFraction 2 pi Over C EndFraction.
Answer:
r = C/(2π)
Step-by-step explanation:
C = 2πr
Divide both sides by 2π
C/(2π) = r
r = C/(2π)
Given that the circumference of a circle, its radius r becomes r = C/2π.
Option C) r equals StartFraction C Over 2 pi EndFraction is the correct answer.
What is a circle?A circle is simply a closed 2-dimensional curved shape with no corners or edges. The total length of the boundary of a circle is referred to as a circumference. It is expressed as;
C = 2πr
Where r is radius and π is constant pi ( π = 3.14 )
Now, if the circumference C = 2πr, lets make radius r the subject of the formula.
C = 2πr
Divide both sides by 2π
C/2π = 2πr/2π
C/2π = r
r = C/2π
Given that the circumference of a circle, its radius r becomes r = C/2π.
Option C) r = start fraction C over 2 pi end fraction is the correct answer.
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when 2-(7g-3) =-9 is solved, the result is:
a. 2
b. -2
c. -4
d. none of these choices are correct
The answer is A. 2
Step-by-step explanation:
First let's simplify both sides of the equation
Now using the Subtraction Property of Equality subtract 5 from both sides
[tex]-7g+5-5=-9-5-7g=-14[/tex]
Now using the Division Property of Equality divide both sides by -7
WILL MARK BRAINLIEST FOR RIGHT ANSWER!!!
Find the geometric series of a geometric sequence where a= 294 and common ratio of
seven for a6, through a10.
The length of a rectangle is 5 more than 3 times the width. Write and solve an equation to find the width (w) if the length is 12.5 cm.
Answer:
Length = 42.5 cm
Step-by-step explanation:
length of rectangle = 5 + 3w
So l = 5 + 3w where w = 12.5
Equation:
L = 5 + 3(12.5)
Solving the Equation:
L = 5 + 3(12.5)
L = 5 + 36 + 1.5
L = 42.5
Length: 42.5 cm
If my answer is incorrect, pls correct me!
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What is the area of the given compound shape?
a) 69.8cm^2
b) 39.8cm^2
c) 49.6cm^2
Answer:
39.8 cm^2
Step-by-step explanation:
area of triangle
base = 5 cm
height = 12 cm
are of triangle = base *height / 2
=5*12/2
=60/2
30 cm^2
area of semi circle
diamtere = 5
radius = diameter/2
=5/2
=2.5
area of semi circle = πr^2/2
=3.14*2.5^2/2
=19.625/2
=9.8125 cm^2
are of the figure = are of triangle + area of semicircle
=30 + 9.8125 cm^2
=39.8125 cm^2
=39.8 cm^2 (after converting to the nearest tenth)
Somebody help i need to find the value of x and classify the sides and angles
Answer:
a) x=18
b) 36 (2*18)
c) 54 (3*18)
d) I'm not exactly sure what it's asking for, so I don't know
Step-by-step explanation:
triangle sum theorem means the sum of every triangle is 180 degrees
so we can make this equation: 180 = 90 + 2x + 3x
solve and you get 18.
For the given table of values for a polynomial function, where must the zeros of the function lie?
A. between 2.0 and 2.5 and between 4.0 and 4.5
B. between 2.5 and 3.0 and between 4.0 and 4.5
C. between 2.0 and 2.5 and between 3.5 and 4.0
D. between 2.5 and 3.0 and between 3.5 and 4.0
Answer:
(B). between 2.5 and 3.0 and between 4.0 and 4.5.
Step-by-step explanation:
According to the Question,
If the value of the function is 0 at x=c, then c is a root or zero of the function. It means the graph of function intersects the x-axis at its zeroes.From the given table it is clear that the value of function are
x | f(x) | Sign
2.0 | 2.8 | Positive
2.5 | 1.1 | Positive
3.0 | –0.8 | Negative
3.5 | –1.2 | Negative
4.0 | –0.3 | Negative
4.5 | 0.7 | Positive
The sign of values of function changes in interval 2.5-3.0 and 4.0-4.5. It means the graph of function must intersect the x-axis in intervals 2.5-3.0 and 4.0-4.5. So, the zeros of the function lie between 2.5 and 3.0 and between 4.0 and 4.5.Therefore, the correct option is B.
If x^4-y^4=45 and x^2-y^2=5, then x^2+y^2=?
A. 9
B. 15
C. 20
D. 40
E. 50
Answer:
here u go
Step-by-step explanation:
i got a
Answer:
x^2 + y^2 = 9
What is the difference of square formula (a ^ 2 - b ^ 2)?It is used to find the difference between the two squares without actually calculation the square.
a^2 - b^ 2 = (a-b) (a +b)
x^4 - y^4 = 45
(x^2)^2 - (y ^2) ^ 2 = 45
(x^2 - y^ 2) (x^2 + y^2) = 45
5 (x^ 2 + y ^ 2) =45
x^2 + y^2 = 9
correct option is A ) 9
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Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root.
Answer:
[tex]y = \sqrt{ 900 - x\²[/tex]
Step-by-step explanation:
In the complete question, the area of the roller coaster is:
[tex]x\² + y^2 = 900[/tex]
Required
Solve for y
We have:
[tex]x\² + y^2 = 900[/tex]
Subtract [tex]x\²[/tex] from both sides
[tex]y^2 = 900 - x\²[/tex]
Take positive roots of both sides
[tex]y = \sqrt{ 900 - x\²[/tex]
Can someone please help me with this it’s so confusing
Answer:
B and C
18-10 is 8
6 times 10 is 60
if two line segments have the same lengh, which of the following must be true
A. they are congruent
B. they share an endpiont
C. They are equal
D. They form a right angel
A. They are congruent
Hope this helps! :)
Please help what’s the answer ??!
Answer:
50-(5+18)
=50-23
=27
3x=27
x=9
Answer:
x = 9
Add 5 and 18, and you will get 23. Then add 9 and 23 three times.
5 + 18 = 23
23 + 9 + 9 + 9 = 50
Someone pls help me pls!
Answer:
[tex]y=\sqrt{x-5}[/tex]
Step-by-step explanation:
Answer:
The answer is [tex]y=\sqrt{x-5}[/tex].
Step-by-step explanation:
To solve for the inverse of this function, start by writing [tex]f(x)=x^{2} +5[/tex] as an equation, which will look like [tex]y=x^{2} +5[/tex].
Next, interchange the variables, and the equation will look like [tex]x=y^{2}+5[/tex]. Then, solve for the y in the equation,
To solve for the y in the equation, rewrite the equation as [tex]y^{2}+5=x[/tex]. Next, subtract 5 from both sides of the equation, which will look like [tex]y^{2}=x-5[/tex]. The next step is to take the square root of both sides of the equation to eliminate the exponent on the left side, and the equation will look like [tex]y=\sqrt{x-5}[/tex].
To put the answer in actual inverse form, the answer will be [tex]f^{-1} (x)=\sqrt{x-5}[/tex].
The seating capacity of a basketball stadium is 5,782. The seats are arranged in 24 sections of the same size. Any seats that are leftover from the 24 sections are called priority seats. How many seats are priority seats? I did not understand how to solve this problem.
Divide capacity by sections:
5782 / 24 = 240.9167
The number of seats in each section is needs to be a whole number so there are 240 seats per section:
240 seats per section x 24 sections = 5,760 seats.
Priority seats is capacity - total section seats:
5782 - 5760 = 22
There are 22 priority seats
Complete the Steps to Solve the Equation -13x-11=-37
-13x-11=-37
-13x=
Answer:
x=2
Step-by-step explanation:
-13x-11=-37 Original equation
-13x=-26 Add 11 to both sides
x=2 Divide both sides by -13
Guys This is one of the most difficult question .
I salute the person who answer it correctly
The question goes like this :
The present price of a Camera is $32400. After day to day use, its price depriciates !! in such a way that its price will be $0 in 12 years ,, Then calculate the ptice of the Camera after 4 years.
Answer:
$21,600
Step-by-step explanation:
32400÷12=2700
2700×4=10,800
32400-10800=21600
Answer: $21,600
Step-by-step explanation: 32400÷12=2700
2700×4=10,80032400-10800=216003 connecting lines are shown. Line A B is horizontal. Line A C is about half the length of A B. Line B C is about one-third of the length of A B.
Which inequality can be used to explain why these three segments cannot be used to construct a triangle?
AC + AB > CB
AC + CB < AB
AC + CB > AB
AC + AB < CB
Answer:
AC + CB < AB
Answer:
AC + CB < AB
Step-by-step explanation:
Find the value of x in The parallelogram.
Answer:
48 degrees
Step-by-step explanation:
x+132 should be equal to 180, property of a parallelogram (and same side interior angles)
180-132=48
Answer:
x = 48
Step-by-step explanation:
Consecutive angles in a parallelogram sum to 180° , so
x + 132 = 180 ( subtract 132 from both sides )
x = 48
Which line is parallel with y = -3x + 10
Answer:
If a line is parallel with Another...
They will have the same Gradient or equal Gradient (m)
So for two parallel lines
m=m'
So the gradient of the second or other line would be Same
Now
y= -3x + 10
comparing with
y= mx + c
m = -3
So the other line would have the same gradient.
from the options provided in the comment section...
y= -3x + 12
Is your Most probable answer cos it has the same gradient
Find the value of x and the measure of the exterior angle. (9x+16) (5x-14)
Answer:
[tex]x = 15 \: \: .....(5(15)- 14) = 61[/tex]
[tex](9x + 16 )= (5x - 14) + 90 \\ 9x - 5x = 90 - 14 - 16 \\ 4x = 60 \\ x = \frac{60}{4} \\ x = 15[/tex]
Use the properties of logs to determine how many more times severe was the San Francisco earthquake? The severity is equal to the ratio below:
Answer:
The answer is "158.489"
Step-by-step explanation:
for san francisco earthquake:
[tex]\log(\frac{a_1}{T}) + B = 7.8\\\\\log(\frac{a_1}{T})+\log(10^{B}) = 7.8\\\\\log(\frac{a_1}{T} \times 10^{B})=7.8\\\\(\frac{a_1}{T} \times 10^B=10^{7.8}...............(i)[/tex]
similarly , for coloumbia earthquake:
[tex]\frac{a_2}{T}\times 10^B = 10^{5.6}.................(ii)[/tex]
divide equation (i) and (ii):
[tex]\frac{a_1}{a_2}=\frac{10^{7.8}}{10^{5.6}}\\\\\frac{a_1}{a_2}=10^{2.2}\approx 158.489[/tex]
What is the product of a nonzero rational number and an irrational number?
Answer: The product of a non-zero rational number and an irrational number is irrational."
Step-by-step explanation:
-4=12-2x
please help me with step by step
Answer:
x=8
Step-by-step explanation:
-4 = 12 - 2x
when plus 12 goes to the left hand side it changes its sign so,
-4 -12 = -2x
- * - is plus so add 4 and 12 but keep the sign - because 12 is the greatest number and its sign is -
-16=-2x
when -2 comes to the left hand side it changes its from multiplication to division.So,
-16/-2=x
8=x
we will get positive 8 because minus and minus also gets cancel.
Answer:
x=8
Step-by-step explanation:−4=12−2x
−4=12−2xSwap sides so that all variable terms are on the left hand side.
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12Subtract 12 from −4 to get −16.
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12Subtract 12 from −4 to get −16.−2x=−16
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12Subtract 12 from −4 to get −16.−2x=−16Divide both sides by −2.
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12Subtract 12 from −4 to get −16.−2x=−16Divide both sides by −2.x=−16÷-2
Divide −16 by −2 to get 8.
Divide −16 by −2 to get 8.x=8
if ab is parallel to cd and slop of ab is -3 what is the slope of cd
Answer:
-3
Step-by-step explanation:
Parallel lines share the same slope. Therefore, the slope of cd is -3.
What is the value of s in the equation 3r=10+5s , when r=10 ?
4
8
100
200
Answer:
4
Step-by-step explanation:
when r = 10
3r = 10 + 5s
3(10) = 10 + 5s
30 = 10 + 5s
30 - 10 = 10 + 5s -10
20 = 5s
20/5 = 5s/5
4 = s
Which expression can go in the blank to make the equation true?
-2.9 + 2.8 + ____________ = 0
Answer:
+0.1
Step-by-step explanation:
when we subtract 2.9 and 2.8 we get -0.1 and to make it zero we have to keep +0.1
in . 3.5 in 4 9 in 4 in . The triangular prism above has been created with two equilateral triangles and three congruent rectangles . The height of the triangles is 3.5 inches . Find the surface area of the triangular prism . square inches
Answer:
122 in²
Step-by-step explanation:
Applying,
S.A = bh+ bl+bl+bl............. Equation 1
Where S.A = Surface area of the prism, b = base of the triangle, h = height of the triangle, l = lenghth of the prism
From the question,
Given: b = 4 in, h = 3.5 in, l = 9 in
Substitute these values into equation 1
S.A = 4×3.5+9×4+9×4+9×4
S.A = 14+108
S.A = 122 in²
Hence the surface area of the prism is 122 in²
Arrange the functions in ascending order, starting with the function that eventually has the least value and ending with the function that eventually has the greatest value.
3x + 8
4x + 3
x2 + 6
3x
4x
x2
↓
↓
↓
↓
↓
Answer:
3x < 4x < 3x + 8 < 4x + 3 < x² < x² + 6
Step-by-step explanation:
This is because as x → ∞
3x → 3∞ ,
Also, as x → ∞
4x → 4∞ ,
Also, as x → ∞
3x + 8 → 3∞ + 8,
Also, as x → ∞
4x + 3 → 4∞ + 3 ,
Also, as x → ∞
x² → ∞²,
Also, as x → ∞
x² + 6 → ∞² + 6
and 3∞ < 4∞ < 3∞ + 8 < 4∞ + 3 < ∞² < ∞² + 6
Thus as x → ∞
3x < 4x < 3x + 8 < 4x + 3 < x² < x² + 6 in ascending order
Answer:
i am not 100% sure but i think it is
3x < 3x + 8 < 4^x < 4^x + 3 < x^2 < x^2 + 6
Step-by-step explanation:
I just got this because one of the other answers said replace x with infinite. Their answer would have been wrong because the actual question is supposed to be 4^x and 4^x + 3 which is different than just 4x and 4x + 3. :)