Step-by-step explanation:
The area of triangle given as 120 cm2
Area of Triangle = 1/2 x b x h = 120
therefore bxh = 240
240 can be factorized as 10 x 24
The perimeter of the triangle is given as 60
so the other side has to be 26 cm
As this is a right angle triangle it should satisfy pythagoras theorem
(10)2 + (24)2 = (26)2
100+576 =676
Hence the sides of the triangle are 10 cm, 24 cm and 26 cm
The cost price of an electric fan is Rs. 2800. If the shopkeeper marks its price 30℅ above the cost price and sells it at 10℅ discount, how much should a customer pay for it with 15℅ VAT?
Answer:
The customer will pay along with VAT = Rs 3767.4
Step-by-step explanation:
Cost price of an electric fan = 2800
Pirce after 30% above the cost price = 2800 + (30% of 2800 = 3640
Selling price after 10% discount = 3640 - (10% of 3640) = 3276
Now 15% VAT = 3276 x 15%
15% VAT = 491.4
The customer will pay along with VAT = 3276 + 491.4
The customer will pay along with VAT = Rs 3767.4
Solve the inequality.
X-5 < 16
A. X> 21
B. x<21
C. x< 11
D. x> 11
Answer:
x < 21
Step-by-step explanation:
x - 5 < 16
x < 21 Add 5 to both sides
Answer:
B. x < 21
Step-by-step explanation:
x - 5 < 16
+5 +5
x < 21
The answer would be B.
what is the value of i^n if the remained of n/4 is 2
A. i
B. -i
C. -1
D. 1
Answer:
5
Step-by-step explanation:
Determine which quadratic equation has two
non-real solutions.
Answer:
Hello,
answer C : -3x²-3x-2=0 (or 3x²+3x+2=0)
Step-by-step explanation:
A: delta=12²-4*2*18=0 not negative
B: delta= 5²+4*3*1=37 not negative
C: 3x²+2x+2=0, delta=2²-4*3*2=16-24=-8 is negative: roots are complex
D: delta 16²-4*2*2=240 not negative
Instructions: Find the measure of the indicated angle to the nearest
degree
21
?
40
?=
Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.
Remember: SOH-CAH-TOA
Looking from the angle, we know the opposite side and the hypotenuse. Therefore, we should use the sine function.
sin(x) = 21/40
x = sin^-1(21/40)
x = 32 degrees
Hope this helps!
Can someone help me with this math homework please!
Given:
The sequence is:
-3, 5, -7, 9, -11,...
To find:
The correct statement about the given sequence.
Solution:
We have,
-3, 5, -7, 9, -11,...
Here, "..." means there are more terms in the sequence. So, the sequence has more than 5 terms and option A is incorrect.
From the given sequence it is clear that the 4th term is 9. So, option B is correct.
Clearly, 5th terms is -11. So, [tex]f(5)=-11[/tex] and option C is incorrect.
The domain of a sequence is always the set of natural numbers. So, option D is correct.
In the given sequence the 4th term is 9. It means the point (4,9) lies on the graph of the sequence. So, option E is correct.
Therefore, the correct options are B, D, E.
Use elimination to solve the system 4x + 7y = –14 and 8x + 5y = 8 for x. Round to the nearest tenth.
Answer:
X= 7/2
Step-by-step explanation:
Multiply first equation by -2 and second equation by 1
-2(4x+7y=-14)
1(8x+5y= 8)
= -8x -14y =28
8x+5y=8
Add these equations to eliminate X:
-9y=36
-9y/-9 = 36/-9
y=- 4
Plug in Y to find X
4x + 7y = -14
4x+7(-4) = -14
4x-28+28= -14+28
4x= 14
X= 7/2
Answered by Gauthmath
Answer: x=3 and 1/2
Step-by-step explanation: Happy to Help (0.<)
: Đẳng thức nào sau đây đúng ?
A. cos4x – sin4x = 2-cos2x B. cos4x – sin4x = 1+2sin2x
Step-by-step explanation:
A. cos4x-sin4x=2-cos2x
Using the given image and congruency markings ,type in the triangle that is congruent with the given triangle below.
Answer:
GHI is congruent to HGW
Step-by-step explanation:
ASAPPPPPPPPPPPPPPPPPPPPPPPPPP HELPPPPPPPPPPPPPPPPPPPPP PLEASEEEEEE
Answer:
- 3 / 10
Step-by-step explanation:
- 9 / 10 - ( - 3 / 5 )
= - 9 / 10 + 3 / 5
= 3 / 5 - 9 / 10
= 6 / 10 - 9 / 10
= ( 6 - 9 ) / 10
= - 3 / 10
Completing the Square
2. Solve the equation by completing the square. Show your work.
x2 – 30x = –125
Step 1: Add (b/2)^2 to both sides of the equation. (2 points)
Step 2: Factor the left side of the equation. Show your work. (2 points)
Hint: It is a perfect square trinomial.
Step 3: Take the square root of both sides of the equation from Step 2. (1 point)
Step 4: Simplify the radical and solve for x. Show your work. (1 point)
Answer:
See below
Step-by-step explanation:
Step 1
x^2 – 30x = –125
-30/2 = -15
(-15)^2 = 225
Step 2
x^2 -30x+225 = -125+225
(x-15)^2 = 100
Step 3
Take the square root of each side
sqrt((x-15)^2) = sqrt(100)
Step 4
x-15 = ±10
x-15 =10 x-15 = -10
x= 10+15 x = -10 +15
x = 25 x = 5
4.
Congratulations! You won a contest sponsored by a local radio station. If you were given the choice of the two payment plans listed below, which plan will pay you more? How much more? Be sure to show all evidence including formulas used for calculations.
A. $1 on the first day, $2 on the second day $3 on the third day etc. for 1 week.
B. $0.01 on the first day , $0.02 on the second day , $0.04 on the third day etc.. For 1 week.
Answer:
Step-by-step explanation:
a) 1 + 2 + 3 .... + 7 = 8*(3.5) = $28
b) $0.01
$0.02
$0.04
$0.08
$0.16
$0.32
$0.64
sum = $1.27
If a = -5, then 2a = -10
Answer:
That is correct
Step-by-step explanation:
To get from a to 2a we multiply by 2, so we also need to multiply -5 by 2:
2(a)=2(-5)
2a=-10
Happy learning!
--Applepi101
Which of the following is not a property of quadrilaterals?
A.
There are four sides.
B.
There are four diagonals.
C.
There are four vertices.
D.
The measures of the interior angles add up to 360 degrees
Please select the best answer from the choices provided
Answer:
The correct answer for this question is letter "(B) There are four diagonals." It is not a property of quadrilaterals.
Answer:
b
it has 2 diagonals crossing each other
What is the product? StartFraction 3 k Over k + 1 EndFraction times StartFraction k squared minus 1 Over 3 k cubed EndFraction StartFraction k + 1 Over k squared EndFraction StartFraction k minus 1 Over k squared EndFraction StartFraction negative 1 Over k EndFraction StartFraction 1 Over k EndFraction
Answer:
StartFraction negative 1 Over k cubed EndFraction
Step-by-step explanation:
3k / (k + 1) × (k²- 1) / 3k³
= 3k(k² - 1) / (k + 1)(3k³)
= 3k³ - 3k / 3k⁴ + 3k³
= -3k / 3k⁴
= -1/k³
StartFraction k + 1 Over k squared EndFraction
(k + 1) / k²
StartFraction k minus 1 Over k squared EndFraction
(k - 1)/k²
StartFraction negative 1 Over k cubed EndFraction
= -1/k³
StartFraction 1 Over k EndFraction
= 1/k
Answer:
B: k - 1 / k^2
Step-by-step explanation:
Make d the subject h=d/3+2
Answer:
[tex]d = 3h - 6[/tex]
Step-by-step explanation:
Step 1: Solve for d
I am assuming that you are asking for me to solve for the variable d. Let me know if what I am doing is not what you want.
[tex]h = \frac{d}{3} + 2[/tex]
[tex]h - 2 = \frac{d}{3} + 2 - 2[/tex]
[tex](h - 2) * 3 = \frac{d}{3} * 3[/tex]
[tex]3h - 6 = d[/tex]
Answer: [tex]d = 3h - 6[/tex]
Solve for t. 4=1/2gt^2
Answer:
[tex]4=1/2gt^{2}[/tex]
Multiply equation by 2/g
4(2/g) = t²
t = √(8/g)
t = 2√(2/g)
[tex]answer:t=\sqrt{\frac{8}{g} }[/tex]
OAmalOHopeO
Determine the axis of symmetry and the vertex of the given function.
The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .
please help me (geometry)
Answer:
True
Step-by-step explanation:
When two lines are parallel, the corresponding angles formed by the transversal (intersecting line) are congruent. This is called the corresponding angles postulate. It can be used in reverse: if two corresponding angles are congruent, then the non-transversal lines are parallel.
Answer:
Step-by-step explanation:
Angles 4 and 5 are corresponding; this means that they are sitting in the same places within their angle "bunch" for lack of a better word. We are then told that they are are congruent which means that they have the exact same measure. Corresponding angles can exist without being congruent, but because they are, that means that A and B HAVE to be parallel. So true.
combine like terms and simplify (−3 + 4x2 − 4x) + (−1 − 3x2− 4)
Answer:
x² - 4x - 8
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
(-3 + 4x² - 4x) + (-1 - 3x² - 4)
Step 2: Simplify
Combine like terms (x²): x² - 3 - 4x - 1 - 4Combine like terms: x² - 4x - 8Pls help me in this question
Answer:
3
Step-by-step explanation:
since the diagonal are equal in length
6x-8=2x+4
4x=12
x=3
What is the area of Figure ABCD? PLS HELP 50 POINTS PLSSSSSSSSSSSSSSSSSSSS
BEST ANSWER GET BRAINLY
Answer:
112 in^2
Step-by-step explanation:
First find the area of the rectangle
A = l*w = 14*7 =98
Then find the area of the triangle
A = 1/2 bh = 1/2 (18-14) *7 = 1/2 (4)*7 = 14
Add the areas together
98+14 =112
Hello!
[tex]\large\boxed{A = 112in^2}[/tex]
We can use the formula for the area of a trapezoid to solve:
A = 1/2(b1 + b2) · h
Thus:
A = 1/2(18 + 14) · 7
Simplify:
A = 1/2(32) · 7
A = 16 · 7
A = 112 in²
The demand function for Widgets is given by the equation P = 14 – 0.39Q, and the supply function is
given by the equation P = 0.61Q + 12. Find the market equilibrium price for Widgets.
Answer:
Equilibrium price for widgets = 13.22
Step-by-step explanation:
At equilibrium, quantity demand, Qd = quantity supplied, Qs
Demand
P = 14 – 0.39Q
P - 14 = - 0.39Q
Q = (P - 14) / - 0.39
Supply
P = 0.61Q + 12
P - 12 = 0.61Q
Q = (P - 12) / 0.61
Qd = Qs
(P - 14) / - 0.39 = (P - 12) / 0.61
Cross product
(P - 14) * 0.61 = - 0.39 * (P - 12)
0.61P - 8.54 = - 0.39P + 4.68
0.61P + 0.39P = 4.68 + 8.54
P = 13.22
Check
Q = (P - 14) / - 0.39
= (13.22 - 14) / - 0.39
= -0.78 / -0.39
= 2
Q = (P - 12) / 0.61
= (13.22 - 12) / 0.61
= 1.22 / 0.61
= 2
Therefore,
Equilibrium price for widgets = 13.22
Equilibrium quantity = 2
1. Shoe B was created by rotating Shoe A counterclockwise about a fixed point. How many degrees was the shoe rotated?
Answer:
90°
Step-by-step explanation:
Rotation counterclockwise means the rotating an object over a fixed point in the opposite direction of our normal wall clock.
To get exact position of shoe B, shoe A would be rotated in about 90° in the opposite direction of a clock.
Thus, shoe A was rotated 90° about a fixed point to create shoe B.
What is an equation of the line that passes through the points (3, 1)(3,1) and (-3, -7)(−3,−7)?
Answer:
y = (4/3)x - 3
Step-by-step explanation:
What is an equation of the line that passes through the points (3, 1) and (-3, -7)? (Do not repeat the coordinates of the points.)
First we need to find the slope of the line through these two points. From (-3, -7) to (3, 1), x increases by 6 (which is the 'run') and y increases from -7 to 1 ( a 'rise' of 8). Thus, the slope of this line is m = rise/run = 8/6, or m = 4/3.
Using the point-slope formula as our starting point, we insert the known values m = 4/3 and point (3, 1):
y - k = m(x - h) becomes y - 1 = (4/3)(x - 3). This in itself is a satisfactory answer. We could also write this equation in slope-intercept form, as follows:
y = 1 + (4/3)x - 4, or
y = (4/3)x - 3
A man earned $3000 the first year he worked. If he received a raise of $600 at the end of each year, what was his salary during the 15th year?
A) $8400
B) None of these
C) $11,400
D) $12,000
Answer:
$11,400
Step-by-step explanation:
3,000+14(600)=11,400
We know that it expands by $600 a year and we are looking for the salary during the 15th year. During the 15th year, it could be using the salary of the 14th year since it is during not after. We then add that to the base salary of $3,000 so then we have $11,400.
Rose’s checking account has a balance of Negative 54 dollars. She makes no more withdrawals but deposits $15 per day in her account over the next five days. On the sixth day, she makes no deposits, but the bank charges a maintenance fee of $5. What is the balance in her account on the sixth day? $16 $26 $124 $134
Answer:
16
Step-by-step explanation:
Her account balance on the sixth day is sixteen. This is because -54 +75 is 21 then you subtract 5 and get 16. (15 times 5 is 75)
Answer:
16
Step-by-step explanation:
Starting balance: -54
Deposits +15
+15
+15
+15
+15
for a total of +75
-54+75 = 21
Maintenance fee: - 5
21 - 5 = 16
Find XY given the base?
Answer:
XY = 12
Step-by-step explanation:
The midsegment XY is half the length of the base CE , that is
XY = [tex]\frac{1}{2}[/tex] × 24 = 12
Rate of Change: Based on the equation determine the rate of change by looking at the coefficients.
Hint: Remember: y=mx+b (m=slope)
1. y=-x+ 3
2. y=3x-1
3. y= 8 + x2
Answer:
1) -1
2) 3
3) 2
A) If {3,1,-1,-3} is the range of the function f(x) =2x+3/5, find its domain.
B) Which element in the range has pre-image 8 under the function of f:x->3x+1/5?
Answer:
64
Step-by-step explanation:
1=879=96889=
