Answer:
For a rectangle of length L and width W, the area is:
A = L*W
In this case, we start with:
L = 14ft
W = 10ft
Then the initial area is:
A = 14ft*10ft = 140ft^2
a) Now she wants to increase the same amount in each measure, then the new measures will be:
L = 14ft + x
W = 10ft + x
Now we want this new area to be twice the one that we got before, then the equation will be:
(14ft + x)*(10ft + x) = 2*140ft^2 = 280ft^2.
b) Let's solve the equation:
(14ft + x)*(10ft + x) = 280ft^2
First lets distribute the multiplication:
140ft + x*10ft + 14ft*x + x^2 = 280ft
Now let's group terms with the same power of x.
x^2 + (10ft + 14ft)*x + 140ft - 280ft = 0.
x^2 + 24ft*x - 140ft = 0.
Now we need to solve this quadratic equation, here we must use the Bhaskara equation for quadratic equations, and we will get two solutions for x.
[tex]x = \frac{-24ft +- \sqrt{(24ft)^2 - 4*140ft*1} }{2*1} = \frac{-24ft +- 33.7ft}{2}[/tex]
Then the two solutions are:
x = (-24ft - 33.7ft)/2 = -28.9 ft
This solution is negative, so it does not make sense and we can discard it.
x = (-24ft + 33.7ft)/2 = 4.85ft
This is positive, so we can use this.
Now we can find the new length and width:
L = 14ft + 4.85ft = 18.85ft
W = 10ft + 4.85ft = 14.85ft
Select the correct answer.
Find the value of (-7)
()=5.7-19
A. 138.7
B. -138.7
C. -127.3
D. 0.67
Answer:
I think it's B. I might be wrong, but I really hope I helped!
Step-by-step explanation:
Please can anyone help me
Find the missing coordinate if the ordered pair is to be a solution to the given equation.
(-3, ?) for the equation 4x + y = 5
Answer:
17 (I think)
Step-by-step explanation:
substitue -3 in for x so 4(-3) + y = 5
-12+ y =5
+12 +12
y=17
Rewrite the expression (z^1)^2 in the form z^n
How much is 200 tens
Answer:
if you're sating 200 tens(10), then it equals 2000
Step-by-step explanation:
because you'd multiply them, and 200 times 10 equals 2000.
and if you ment 200 ton, the it's 400000. because a ton is 2000, so 200 times 2000 equals 400000
Solve for x number 9
Answer:a
Step-by-step explanation:
F(x)=e*1/x
Calculate f'(x)
Answer:
[tex]\huge\boxed{f'(x)=-\dfrac{e^\frac{1}{x}}{x^2}}[/tex]
Step-by-step explanation:
[tex](e^x)'=e^x\\\\\bigg[f\bigg(g(x)\bigg)\bigg]'=f'\bigg(g(x)\bigg)\cdot g'(x)\\\\\left(\dfrac{1}{x}\right)'=-\dfrac{1}{x^2}\\\\====================[/tex]
[tex]f(x)=e^\frac{1}{x}=\left(e^\frac{1}{x}\right)'\cdot\left(\dfrac{1}{x}\right)'=e^\frac{1}{x}\cdot\left(-\dfrac{1}{x^2}\right)=-\dfrac{e^\frac{1}{x}}{x^2}[/tex]
what is the missing factor in the equation
y^3/4x
Step-by-step explanation:
here,
6x^2/5y *(y^3/4x)
3xy^2/10
0.072 as a multiple power of 10
Answer:
0.72 I think but not sureThank you ☺️☺️
What is x on this right triangle? Round to the nearest tenth.
Answer:
x ≈ 38.7°
Step-by-step explanation:
Using the tangent ratio in the right triangle.
tanx = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{8}{10}[/tex] , thus
x = [tex]tan^{-1}[/tex] ([tex]\frac{8}{10}[/tex] ) ≈ 38.7° ( to the nearest tenth )
Question is on a picture
Answer:
[tex]12[/tex]
Step-by-step explanation:
[tex] {4}^{2} - ( { - 2}^{2} ) \\ 16 - 4 \\ 12[/tex]
what 5-2 to the power of 5
Answer:
243
Step-by-step explanation:
(5-2) = 3
3 to the power of 5 is 3x3x3x3x3
3x3x3x3x3 = 243
Answer:
(5-2)^5= (3)^5 = 3*3*3*3*3 = 9*9*3 = 243
Step-by-step explanation:
Answer for brainliest!!!! YOU CAN DO IT!!!
what is the question pls.
can you pls tell me
8 6/12 decimal form
Answer:
8.5
Step-by-step explanation:
6 is half of 12 so I guessed 8.5
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!11
Simplify (−3.5)(−3)(−6.4).
1. −672
2. −67.2
3. 67.2
4. 672
Answer:
2 -67.2
Step-by-step explanation:
-3.5 Times -3 = 10.5
10.5 Times -6.4 = -67.2
Answer:
2. -67.2
Step-by-step explanation:
(−3.5)×(−3)×(−6.4)=−67.2
I have done it before and I did the work.
Problem Solving (M1) About 100,000 people live in a town. The number 100,000 can be written as 10n, where n is a whole number. What is the value of n? How can you prove your answer? Explain your thinking. (Look at your exponent chart. It can help you!!) The value is 6 because there are 6 zeros and you have to count the zeros to get the answer.
Answer:
n = 5
Step-by-step explanation:
100,000 = 10^n
Take the log of both sides
log 100,000 = log 10^n
log 100,000 = n * log 10
Dividing both sides by log 10
log 100,000 / log 10 = n * log 10 / log 10
n = log 100,000 / log 10
= 5 / 1
n = 5
What is the value of this sum 6372+5849?
Find the perimeter of the figure. Write your answer in simplest form.
Answer:
Where is the figure ????
Step-by-step explanation:
what is 1/2 x2/5 =
and 3/4 x 5/9 =
1/5
5/12
Step-by-step explanation:Hi there !
1/2 × 2/5 = 1×2/2×5 = 2⁽²/10 = 1/5
3/4 × 5/9 = 3×5/4×9 = 15⁽³/36 = 5/12
Good luck !
Answer:
1/5
5/12
Step-by-step explanation:
These are the answers because:
1) Whenever we multiply fractions, we have to multiply the numerator with the numerator and the denominator with the denominator.
2) In this case it would be:
1/2 x 2/5 = 1 x 2/2 x 5 = 2/10 = 1/5
3/4 x 5/9 = 3 x 5/4 x 9 = 15/36 = 5/12
Hope this helps! :D
What is the length of each leg of the triangle below?
A. Square root of 11
B. Square root of 22
C. 1
D. Square root of 11 and 2
E. 11
F. 15
A. square root of 11 is it
The required length of the legs of triangle is 11√2. Option D is correct.
From figure
Hypotenuse = 22
Angles of leg = 45°
The triangle is geometric shape which includes 3 sides and sum of interior angle equal to 180°.
Let the length of the legs be x
sin45 = perpendicular/Hypotenuse
1/√2 = x/22
x = 11√2
Thus, the required length of the legs of triangle is 11√2.
Get more information about triangles here:
https://brainly.com/question/2773823
#SPJ2
If m_3 = 29°, what is m_4?
0
m_4 =
Answer:
151°
Step-by-step explanation:
angle m_3 and m_4 must add up to 180 because they both lie on a straight line. Thus, we can do 180-29 to get m_4.
To the nearest tenth, how many inches equal 12.55 centimeters? (1 in. = 2.54 cm)
Answer:
5.1
Step-by-step explanation:
all you do is divide 12.55 by 2.54
Answer:
5 inches.
Step-by-step explanation:
If each inch is 2.54, you basically have to divide 12.55 divided by 2.54. Which would equal 4.94094488189. That would round to 5, which means approximately, it equals 5 inches.
Sorry if this is incorrect, but I do believe it is correct, have a good day!
20b-16
Please help I will mark you
A rectangular tank has a length of 12 feet, width of 8 feet, and height of 5 feet. Frankie filled the tank with water at a rate of 4 cubic feet per minute. At this rate, how long will it take Frankie to completely fill the tank without overflowing it?
Answer:120 minutes.
Step-by-step explanation:
look, 12x8x5=480, and 480/4-120
Tickets that cost $88 for a professional women’s championship soccer game are offered at a 15% discount. What is the sale price?
Answer:
$74.80
Step-by-step explanation:
10% = 8.8
5% = 4.4
8.8 + 4.4 = 13.2
88 - 13.2 =$74.80
Fifty eighth graders attend a
charter school. If 1/10 are
home with the flu and 2/3 of
the remaining students are
on a field trip, how many are
in school?
Answer:
15
Step-by-step explanation:
1/10 of 50 is 5, so remove that.
2/3 of 45 is 30, so remove that too.
therefore, 15 kids are in school
hope this helps!! <3
helpp ill mark u as brainlist
Answer:
Proportional graph
Step-by-step explanation:
It is proportional because as the x increases, the y also increases. It maintains the same rate of change.
Answer:
non pro becuase it dont pass the origin
Step-by-step explanation:
Do #1 a-f please 15 points
Answer:
1a expression
1b equation
1c equation
1d expression
1e expression
1f equation
Step-by-step explanation:
Equations have an equals sign, while expressions do not.
1a expression
1b equation
1c equation
1d expression
1e expression
1f equation
Answer:
A Expression B Equation 2 1/4 C Equation 3 2/3 D Expression E Expression F Equation
Step-by-step explanation:
An artery of radius 3 mm sends blood to three smaller arteries that are all the same size. Each of the smaller arter
much blood to flow as the larger artery does. What is the radius, in mm, of one of the smaller arteries?
A)
3
B)
3T1
C)
V3
D)
2/3
9514 1404 393
Answer:
C) √3
Step-by-step explanation:
Treating this as a geometry problem, not a fluid dynamics problem, we assume the area of the smaller vessels must total that of the larger one. Then the ratio of areas of the smaller vessels to the larger one is 1/3. The ratio of radii is the square root of that: 1/√3.
Then the radius of the smaller arteries must be ...
(3 mm)(1/√3) = √3 mm
bracket is necessary in order of operations
Answer:
yeah they are necessary in fact they are the first when you use BODMAS
PLEASE HELP!! MATH FINAL :)) no explanation needed.
Answer:
195 or 15^2- 2(15)
Step-by-step explanation: