Answer:
300cm
Step-by-step explanation:
to get the area of a rectangle, all you have to do is (bh) or base * height. in this case, the base is 20cm and the height is 15cm. once you multiply the two lengths you will get 300 meaning that the area of this rectangle is 300 cm.
The required area of a rectangle is 300 square cm which is given in the figure.
What is the area of the rectangle?The area of a rectangle is defined as the multiplication of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
We have been given a rectangle that has :
The length of the side = 20 cm
The width of the side = 15 cm
The area of a rectangle = The length of the side × The width of the side
The area of a rectangle = 20 cm × 15 cm
Apply the multiplication operation,
The area of a rectangle = 300 square cm
Therefore, the required area of a rectangle is 300 square cm.
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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]
The graph of f(x) = 2x2 + x – 15 passes through the point (0, –15) and one of its zeros is (2.5, 0). What is the other zero of the function?
Answer:
x=-3
Step-by-step explanation:
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]
What is the equation of the line tangent to the function f(x) = 4x^2 + 5x at the point (-2, 6).
Will give brainliest! Thank you.
Answer:
[tex]y=-11x-16[/tex]
Step-by-step explanation:
We want to find the equation of the tangent line to the function:
[tex]f(x)=4x^2+5x[/tex]
At the point (-2, 6).
First, we will need the slope of the tangent line. So, differentiate* the function:
[tex]f'(x)=8x+5[/tex]
Find the slope when x = -2:
[tex]f'(-2)=8(-2)+5=-11[/tex]
Now, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Our point is (-2, 6) and our slope is -11. Substitute:
[tex]y-(6)=-11(x-(-2))[/tex]
Simplify:
[tex]y-6=-11(x+2)[/tex]
Distribute:
[tex]y-6=-11x-22[/tex]
And add six to both sides. Therefore, our equation is:
[tex]y=-11x-16[/tex]
If you have not yet learned differentiation, here's the method using the difference quotient! The difference quotient is given by:
[tex]\displaystyle f'(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}[/tex]
Here, x = -2. Substitute:
[tex]\displaystyle f'(-2)=\lim_{h\to 0}\frac{f(-2+h)-f(-2)}{h}[/tex]
Substitute (we are given the point (-2, 6). So, f(-2) = 6).
[tex]\displaystyle f'(-2)=\lim_{h\to 0}\frac{(4(-2+h)^2+5(-2+h))-(6)}{h}[/tex]
Expand and simplify:
[tex]\displaystyle f'(-2)=\lim_{h\to 0}\frac{(4(4-4h+h^2)+(-10+5h))-(6)}{h}[/tex]
Distribute:
[tex]\displaystyle f'(-2)=\lim_{h\to 0}\frac{16-16h+4h^2-10+5h-6}{h}[/tex]
Simplify:
[tex]\displaystyle f'(-2)=\lim_{h\to 0}\frac{4h^2-11h}{h}[/tex]
Evaluate the limit (using direct substitution):
[tex]\displaystyle f'(-2) = \lim_{h\to 0}4h-11=4(0)-11=-11[/tex]
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
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)
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=21600The 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
Can someone please help me with this it’s so confusing
Answer:
B and C
18-10 is 8
6 times 10 is 60
-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
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 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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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
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.
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
does the equation define y as a function of x? y^2 = 7 - x^2
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
On a coordinate plane, the x-axis is labeled side length and the y-axis is labeled Perimeter of the square. A line goes through points (0, 0), (1, 4), and (2, 8). Use the graph to complete the ordered pairs to show the relationship between two quantities: the length of a square’s sides and the square’s perimeter. (3, ) (4, ) The relationship between the length of a square’s side and its perimeter is .
Help plz..And No links!! I repeat No links!!
I believe the answer to this is:
8:35
Hope this helps! :D
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:
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
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 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!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
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! :)
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]
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
3 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:
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. :)
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.