Increased height:-
[tex]\\ \sf\longmapsto 23\times 15\%[/tex]
[tex]\\ \sf\longmapsto 23\times \dfrac{15}{100}[/tex]
[tex]\\ \sf\longmapsto \dfrac{345}{100}[/tex]
[tex]\\ \sf\longmapsto 3.45[/tex]
Now current height:-
[tex]\\ \sf\longmapsto 23+3.45=26.45ft[/tex]
A house owner wishes to cover their roof with solar panels. Each solar panel is of the following size. The roof section is rectangular 7.2 m by 4.4 m. Each solar panel measures 1400 mm by 850 mm. There needs to be at least a 30 cm gap left at each edge of the roof section. The house owner thinks he can have at least 15 solar panels fitted to the roof section. Can u agree? If yes, show the working.
Answer:
Hello Arjun, The Answer Is 26.54 panels.
Explanation:
Dimensions of roof section: 7.2m By 4.4m
Area Of Roof: 7.2*4.4 = 31.68m²
Dimension of solar panels: 1400mm by 850mm
= 1400÷1000 by 850÷1000 = 1.4m by 0.85m
So We can say that: Area each solar panel = 1.4 * 0.85 = 1.19m²
The 30 CM Gap On All Edges Gives Us A Square Of Side = 30 Cm = 0.3 M
So, The Area Of Gap Left = 0.3*0.3 = 0.9m²
Now, The Total Area That Can Be Covered Is 31.68-0.9 = 31.59m²
So, Now we Divide The area remaining with the area of the solar panel that is: 31.59 ÷ 1.19m² = 26.54 Panels...
I Could Only Understand This Much From The HW Ma'am Gave, So This Was My Answer...
Hope It Helps!
help me thankyouuuuuuu
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⠀⠈⠛⠛⠛⠓⠒⠚⠛⠛⠛⠛⠛⠋⠙⠛⠛⠛⠛⠟⠿⠷⠶⠶⠾⠿⢿⠿⠿⠿ Don't mind me, just a feller out on the farm.
Answer:
210 * 1.1 = 231
48*1.1 = 52.8
Step-by-step explanation:
15 points f (x) = 1/x+5 -1. Find the inverse of (x) and its domain.
Answer:
D
Step-by-step explanation:
[tex]f(x)=\frac{1}{x+5} -1\\let~f(x)=y\\y=\frac{1}{x+5} -1\\flip~x~and~y\\x=\frac{1}{y+5} -1\\x+1=\frac{1}{y+5} \\y+5=\frac{1}{x+1} \\y=\frac{1}{x+1} -5\\f^{-1}(x)=\frac{1}{x+1} -5\\x+1\neq 0\\x\neq -1[/tex]
Sabina bought a samsung mobile set for rs.15750 after getting the discount of 10%. Find the price of mobile set before discount.
Answer:
Step-by-step explanation:
90/100 * x = 15750
0.9 x = 15750
x = 15750/0.9
x = 17500
Now check this by taking 10% off. Do you get 15750?
Let's see
10/100 of 17500 = 1750
Subtract that from 17500
17500 - 1750 = 15750 which is exactly what you should get.
Find the discernment and the numbers of the number of real roots for this equation.
x^2+3x+8=0
Answer: 2 distinct complex solutions (ie non real solutions).
Work Shown:
The given equation is in the form ax^2+bx+c = 0, so
a = 1, b = 3, c = 8
Plug those into the formula below to find the discriminant
D = b^2 - 4ac
D = 3^2 - 4(1)(8)
D = -23
The discriminant is negative, so we get two nonreal solutions. The two solutions are complex numbers in the form a+bi, where a & b are real numbers and [tex]i = \sqrt{-1}[/tex]. The two solutions are different from one another.
Answer:
Discriminant: -23
Number of real roots: 0
Step-by-step explanation:
For a quadratic in standard form [tex]ax^2+bx+c[/tex], the discriminant is given by [tex]b^2-4ac[/tex].
In [tex]x^2+3x+8[/tex], assign:
[tex]a\implies 1[/tex] [tex]b\implies 3[/tex] [tex]c\implies 8[/tex]The discriminant is therefore:
[tex]3^2-4(1)(8)=9-32=\boxed{-23}[/tex]
For any quadratic:
If the discriminant is greater than 0, the quadratic has two real rootsIf the discriminant is equal to 0, the quadratic has one real rootIf the discriminant is less than 0, the quadratic as no real rootsSince the quadratic in the question has a discriminant less than 0, there are no real solutions to this quadratic.
WILL GIVE BRAINLIEST, HELP QUICK!!
Answer:
the answer is 5 units
Step-by-step explanation:
You can look at the location of B and C and see that the line goes from 2 to -2 which is 5 units apart. -2, -1, 0, 1, 2
Complete this equations,( show your work).
* I re-wrote some of the questions below them so u can read ' em better. ty
Answer:
21 is: [tex]\frac{4}{9}[/tex] x + [tex]\frac{31}{72}[/tex]
22 is: 4 [tex]\frac{39}{44}[/tex]
23 is:[tex]\frac{1}{4}[/tex] x + [tex]\frac{31}{72}[/tex]
24 is: [tex]\frac{-2}{11}[/tex] x + [tex]\frac{7}{11}[/tex]
Step-by-step explanation: Hope this helps and good luck mark brainliest if u want :)
9 is subtracted from 5 times 3 and 10 is added
A chair which was produced at a cost of Rs 450 was sold at a profit of 22%. What was the profit?
Answer:
RS 99
Step-by-step explanation:
%p = p/cp ×100
22 = p/450 × 100
22 = 100p/450
cross multiply
22 × 450 =100p
9900 = 100p
100p =9900
p = 9900/100
p = 99
Please help me Find PA.
Need help with this!!! 8 points!!!
Answer:
The answers is 369 and 577... good luck. ♥️♥️♥️
Given: -1/2 x > 6.
Choose the solution set.
A. {x | x R, x > -12}
B. {x | x R, x > -3}
C. {x | x R, x < -3}
D. {x | x R, x < -12}
Given: -1/2 x > 6
Solving It:--1/2 x > 6
x > -6×2
x > -12
So The Correct Solution Set Will Be
A. {x | x R, x > -12}Hope This Helps YouFind the area to the left of z = 0.25.
A. 0.6012 B. 0.5987 C. 0.4013 D.0.3988
Answer:
.5987
Step-by-step explanation:
Use a ztable and find .25 (pic below)
I WILL GIVE BRAINLISEST AND 40 pOINTS PLEASE HELP!
Determine the surface area of the square based pyramid. Round to the tenths place. 37 cm is the vertical height of the pyramid.
Answer:
SA= 3603.84cm^2
Step-by-step explanation:
the Surface Area SA is the total area of the sides and the base.
The area of the base= 32*32= 1024cm^2
the area of one of the sides = slant height of pyramid * base edge/2
the slant height l of the pyramid
l= sqrt(16^2+37^2) = 40.31cm
area of the side =( 40.31*32)/2 =644.96cm^2
there are 4 sides so the area of the sides are
4* 644.96=
addig the area of the base we get the Surface Area SA of the pyramid
SA = 2579.84 + 1024 = 3603.84cm^2
I will give brainliest if correct!!! Please show work so I know how to do it. :)
12. Let logb(3) = 0.5646, logb(4) = 0.7124, and logb(5) = 0.8271. Using these values, evaluate logb(5/3).
A. 0.1518
B. 1.4649
C. 1.2138
D. 0.2625
E. 0.5341
F. 2.6252
Answer:
.2625
Step-by-step explanation:
logb(3) = 0.5646, logb(4) = 0.7124, and logb(5) = 0.8271
logb(5/3)
We know that logx ( y/z) = logx (y) - logz (z)
logb ( 5) - logb(3)
0.8271 - 0.5646
.2625
Answer:
F. 2.6252
Step-by-step explanation:
0.8271 - 0.5646
1,4,9 find the fifth pattern
Answer:
1, 4, 9, 16, 25
Step-by-step explanation:
The pattern increases by an odd number. It can be seen that;
n²
for the first pattern
1²=1
for the second pattern
2²=4
for the third pattern
3²=9
for the forth pattern
4²=16
for the fifth pattern
5²=25
please help me on this, thank you
Answer:
the formula
Step-by-step explanation:
substitute the formula with the numbers give n-2 is number of sides -2 fyi
help please like PLEASE ASAP
Answer:
1/5^5
Step-by-step explanation:
Flip the equation into a fraction.
:>
Karina solves the system using linear combination and arrives at the question 116y=96.28. She then solves this equation for y. Which statement explains karina's solution
Answer:
116y = 96.28
---- ---------
116 116
y = 0.83--------
Answer:
0.83-------
Step-by-step explanation:
which of the following are exterior angles?
Answer:
A, B, E
Step-by-step explanation:
Exterior angles are angles that are outside the shape. In this case, angle 4, 3 and 2 are exterior angles.
What is the simplest version of 9/16×4/18
Answer:
1/8
Step-by-step explanation:
9/16 * 4/18
Rewriting
9/18 * 4/16
9/18 = 1/2 and 4/16 = 1/4
1/2 * 1/4
1/8
Answer:
[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
[tex]\frac{9}{16}[/tex] x [tex]\frac{4}{18}[/tex] = [tex]\frac{(9)(4)}{(16)(18)}[/tex]
[tex]\frac{(9)}{(18)}[/tex] = [tex]\frac{1}{2}[/tex]
[tex]\frac{4}{16}[/tex] = [tex]\frac{1}{4}[/tex]
[tex]\frac{(1)(1)}{(2)(4)}[/tex] = [tex]\frac{1}{8}[/tex]
The square root of 0.25 is 0.5 which is a greater number. Give another number whose square root is larger than the number and explain why.
Answer:
Another example of a number who's square root is greater than the number is [tex]\sqrt{0.49}[/tex] which is 0.7
Step-by-step explanation:
This square root is larger than the number because it is a decimal. When you multiply a decimal by a decimal, the decimal point becomes greater. For example: 0.7 multiplied by 0.7 equals 0.49 which has 2 decimal places, while 0.7 only has one.
Find the value of x.
A. 99
B. 9
C. 90
D. 11
ILL GIVE BRAINLIEST
Answer:
B) 9
Step-by-step explanation:
Because there's a square between the 2 angles, that means these angles are complementary (angles that add up to 90°). So:
5x - 9 + 6x = 90
11x - 9 = 90
11x = 90 + 9
11x = 99
x = 9
Answer:
B.9
Step-by-step explanation:
The way to solve this is by noticing that these angles are complementary(they add up to 90 degrees). So you add the equations together and equal them to 90. 5x-9+6x=90.Then you solve to find that x=9.
Find the equation of the line passing through the point (-3.6, 2.1) and parallel
to the line 4.9x + 5.4y = 3
Answer:
y = -4.9/5.4x - 1.17
Step-by-step explanation:
First let's convert the equation to standard form of y = mx + b.
4.9x + 5.4y = 3
Subtract 4.9x from both sides.
5.4y = -4.9x + 3
Divide each term by 5.4.
y = -4.9/5.4x + 0.56
If two lines are parallel to each other, they have the same slope slopes.
The first line is y = -4.9/5.4x + 0.56. Its slope is -4.9/5.4. A line parallel/perpendicular to this one will also have a slope of -4.9/5.4.
Plug this value (-4.9/5.4) into your standard point-slope equation of y = mx + b.
y = -4.9/5.4x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-3.6, 2.1). Plug in the x and y values into the x and y of the standard equation.
2.1 = -4.9/5.4(-3.6) + b
To find b, multiply the slope and the input of x (-3.6)
2.1 = 3.27 + b
Now, subtract 3.27 from both sides to isolate b.
-1.17 = b
Plug this into your standard equation.
y = -4.9/5.4x - 1.17
This equation is parallel/perpendicular to your given equation (y = -4.9/5.4x + 0.56) and contains point (-3.6, 2.1)
Hope this helps!
Please read below. Thank you.
Answer:
desmos .com
Step-by-step explanation:
Answer: See the graph below
Step-by-step explanation:
Concept:
Formula for circle: (x - k )² + (y - h)² = r²
Center = (k, h)
Radius = r
**Disclaimer** variables used can be different
------------------------------------------------------------------------
Solve:
Given: (x - 2)² + (y + 3)² = 16
Center = (2, -3)
Radius = √16 = 4
Hope this helps!! :)
Please let me know if you have any questions
which of the following equations have complex roots?
9514 1404 393
Answer:
B. 3x² +2 = 0
Step-by-step explanation:
The equation of A has a couple of real roots. We're pretty sure there are complex numbers that will satisfy this equation, but we don't know how to find them. (We suspect a typo, and that the equation is supposed to be 2x² +1 = 7x, which has only real roots.)
__
The equation of B can be rewritten as ...
x² = -2/3
This will have complex roots.
__
The discriminants of both equations C and D are positive, so those have only real roots.
2x² -5x -1 ⇒ d = (-5)² -4(2)(-1) = 33
3x² -6x -1 ⇒ d = (-6)² -4(3)(-1) = 48
Find the line’s slope and a point on the line
Y-4=-3/4(x+5)
Answer:
The slope is -3/4 and a point on the line is (-5,4)
Step-by-step explanation:
This equation is in point slope form
y -y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
Y-4=-3/4(x+5)
Y-4=-3/4(x - -5)
The slope is -3/4 and a point on the line is (-5,4)
In a class of 75 students, the number of girls is just half that of the
number of boys. How many girls are there in the class? How many
boys are there in the class?
Answer:
25 girls and 50 boys
Step-by-step explanation:
let x be the number of boys
let x/2 be the number of girls
x + x/2 = 75
3x/2 = 75
3x = 150
x = 50
there are 50 boys and 50/2 = 25 girls.
check:
50 + 25 = 75
40 points Please help!!!
What is the volume of this regular prism?
48.55 cubic inches
55.8 cubic inches
9.7 cubic inches
24.28 cubic inches
Answer:
V = 24.28 in ^3
Step-by-step explanation:
The area of the base is
A =5/2 × s × a where s is the side length and a is the apothem
A = 5/2 ( 2.13) * .87
A = 4.63275
The volume is
V = Bh where B is the area of the base and h is the height
V = 4.63275 ( 5.24)
V =24.27561 in^3
Rounding to the hundredth
V = 24.28 in ^3
If in the equation [ 4/t-1 = 2/w-1 ] t ≠ 1 and w ≠ 1, then t =
a) 2w-1
b) 2(w-1)
c) x-2
d) 2w
t=2w-1
OPTION A is the correct answer...
