Step-by-step explanation:
Dividing the shape into two:
The area of the rectangle is
A= 13.5*4.8= 64.8km2
the area of the triangle
A = [( 5.7-4.8) *13.5 ]/ 2= 6.075km2
Therefore the total area is
At = 64.8 + 6.075 = 70.875km2
Solve the system by elimination
− 7x+ 9y =− 18
4x+ 9y =− 18
Answer:
x= 0
y= -2
Step-by-step explanation:
− 7x+ 9y =− 18
4x+ 9y =− 18
7x- 9y =+ 18
4x+ 9y =− 18
11x=0
x=0
y=-2
A metric calendar has 1 metric year equivalent to our calendar year of 365 days. A metric year is divided into 10 equal metric months; a metric month is divided into 10 equal metric weeks; a metric week is divided into 10 equal metric days. To the nearest day of our calendar, how many days are there in 4 metric months, 5 metric weeks and 8 metric days
Answer:
The total metric days are 458 days.
Step-by-step explanation:
1 metric year = 375 days
1 metric year = 10 metric months
1 metric month = 10 metric week
1 metric week = 10 metric days
4 metric months = 10 x 4 x 10 metric days = 400 metric days
5 metric weeks = 5 x 10 metric days = 50 metric days
So, the total number of metric days = 400 + 50 + 8 = 458 metric days
The cafeteria uses rectangular trays with a raised edge around them. The area of the flat surface of each tray is 228 Inches squared and its length is 19 inches. What is the perimeter of the tray, where the raised edge is?
To find the width, use the formula w = StartFraction A Over l EndFraction, where w represents the width, A represents the area and l represents the length. To determine the perimeter, use the formula P = 2 l + 2 w, where P represents the perimeter, l represents the length, and w represents the width.
Answer: D 62 inches
Step-by-step explanation: Given area of each tray = 228 in2 inches
Answer:
ddddddddddd
Step-by-step explanation:
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
Pls 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
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.
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
Turn 2/sqrt(5) into Rational Number with Conjugate Turn -(5/sqrt(3)) into Rational Number with Conjugate Turn (3+sqrt(2))/sqrt(3) into Rational Number with Conjugate
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
pls help explain if u can
Answer:
A dilation (similarity transformation) is a transformation that changes the size of a figure. It requires a center point and a scale factor , k . The value of k determines whether the dilation is an enlargement or a reduction.
In simple words, it's stretching, when you dilate with scale factor of x, means you multiply the previous value with x, say co-ordinates area -2,4, so you do (-2x,4x) to find the co-ordinates after dialation,
Here the scale factor is 3, so the new co-ordinates are,
(-2×3, 4×3) which is A' (-6, 12)
similarly,
B' (12, -3)
C' (-3, -6)
Answered by GAUTHMATH
Answer:
A’(-6;12)
B’(12;-3)
C’(-3;-6)
Step-by-step explanation:
If k is the factor then it means you have to multiply the coordinates of each point ( A, B and C).
So for example:
A’=3xA so when A(x;y) -> A’( 3x;3y)
So you have :
A’(-6;12)
B’(12;-3)
C’(-3;-6)
Then you just have to put them into a scale and rely them three to have your figure .
Hope it helps you.
Have a nice rest of your day :)
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!
Question 4: 10 pts
Find whether the regular triangular pyramid has plane symmetry, symmetry about an axis, or neither.
Answer:2
Step-by-step explanation: but it was real
Answer:
Step-by-step explanation:
Based on the slopes, what can you say about the relationship between DE and BC?
Answer:
DE and BC are parallel line segments.
Step-by-step explanation:
Edmentum-
Answer:
DE and BC are parallel line segments.
Step-by-step explanation:
Edmentum
Which statement is true regarding the graphed
functions?
• fO) = 2 and g(-2) = 0
•f(0) = 4 and g(-2) = 4
•f(2)= 0 and g(-2) = 0
•f(-2) = 0 and g(-2) = 0
Answer:
I say it's the third option
Step-by-step explanation:
I could be wrong but I hope this help
hi! number one and number two are causing me trouble, so if anyone would like to answer either that’d be appreciated. thanks in advance:)
Answer:
[tex] \sqrt{x - 5} + 4[/tex][tex]3 \sqrt{x + 3} + 2[/tex][tex] - \sqrt{x + 2} - 2[/tex][tex] - 2 \sqrt{x} + 3[/tex]Type these function in for 1a,1b,2a,2b respectively and look for table of valuesStep-by-step explanation:
1a) The function will shift 5 units to the right, 4 units down,
1b).The function will shift 3 units to the left, stretched in the y direction by a scale factor of 3, and shift up 2 units.
2a). The function will shift 2 units to the left, reflect over the x axis, and shift 2 units down.
2b) The function will stretched in the y direction by a scale factor of -2 and shift the function up 3 units.
9514 1404 393
Answer:
1a. translation right 5, down 4
1b. vertical stretch ×3, translation left 3, up 2
2a. translation left 2, down 2
2b. reflect in x, vertical stretch ×2, translation up 3
3. f(x) = -4/(x+5)+4
4. f(x) = 1/2√(3(x +3)) -4
Step-by-step explanation:
Transformations of functions can be decoded by considering the transformation ...
g(x) = a·f((x-h)/b) +k
The transformations here are ...
vertical stretch by a factor of 'a'horizontal stretch by a factor of 'b'right shift by h unitsup shift by k unitsNote that either 'a' or 'b' can be a fraction less than 1, which results in a transformation usually described as a compression (not a stretch). If either of these is negative, then a reflection over the x-axis (a<0) or y-axis (b<0) is also involved. The stretch (or compression) and/or reflection is applied before the translation the way this is written.
_____
1a. translation right 5, down 4
1b. vertical stretch by a factor of 3, translation left 3, up 2
__
2a. translation left 2, down 2
2b. reflected across the x-axis, vertically stretched by a factor of 2, translated up 3
__
3. a=4, b=-1, h=-5, k=4
f(x) = -4/(x+5)+4
__
4. a=1/2, b=1/3, h=-3, k=-4
f(x) = 1/2√(3(x +3)) -4
_____
The graphs in the attachments show the various functions. (It takes a little work to verify that the graph in the last attachment has the appropriate compressions, but it does.)
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
Reduce to simplest form
Answer:
-1 5/28
Step-by-step explanation:
-3/7 + (-3/4)
Get a common denominator of 28
-3/7 *4/4 = -12/28
-3/4 *7/7 = -21/28
-12/28 + -21/28
-33/28
-28/28 - 5/28
-1 5/28
Si en 11 cajas de chocolates hay 220 chocolates en total. Calcula cuántos chocolates habrá en total en 5 cajas de chocolates.
Answer:
Habrá 100 chocolates en total en 5 cajas de chocolates.
Step-by-step explanation:
Esta pregunta es resolvida usando proporciones, con lo uso de regla de tres .
11 cajas, 220 chocolates:
Entonces:
[tex]\frac{220}{11} = 20[/tex]
20 chocolates por caja.
Calcula cuántos chocolates habrá en total en 5 cajas de chocolates.
20 chocolates por caja, entonces:
5*20 = 100
Habrá 100 chocolates en total en 5 cajas de chocolates.
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:
: 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
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
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
what is the answer to this problem
Answer:
42
Step-by-step explanation:
ABC + CBD = ABD
3x+33 + 5x+13 = 70
Combine like terms
8x +46 = 70
Subtract 46 from each side
8x+46-46 = 70-46
8x = 24
Divide each side by 8
8x/8 = 24/8
x=3
We want to find ABC
ABC = 3x+33 = 3*3 +33 = 9+33 = 42
Answer:
[tex]m\angle ABC+\angle CBD=m\angle ABD[/tex]
[tex]\longrightarrow (3x+33)+(5x+13)=70[/tex]
[tex]\hookrightarrow 8x+46=70[/tex]
[tex]\hookrightarrow 8x=70-46[/tex]
[tex]\hookrightarrow 8x=24[/tex]
[tex]\hookrightarrow x=24/8=3[/tex]
[tex]so, m\angle ABC=3(3)+33=42[/tex]
-----------------------
Hope it helps...
Have a great day!!
The price of a refrigerator is advertised at a special price of R2199. The original price was R2499. What percentage discount was given?
Answer:
12.01% discount
Step-by-step explanation:
R2499-100%
R2199-?
=R2199/R2499×100%
=87.99
100%-87.99%=12.01%
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:
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
Can someone help me with this
Answer:
b) 8
I assume the question is suggesting that you cant "cut" any of the cubes
so that the "division" has to result in an integer
Step-by-step explanation:
7 85.71428571
8 75
9 66.66666667
10 60
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.
The equation $y = -4.9t^2 + 42t + 18.9$ describes the height (in meters) of a ball tossed up in the air at 42 meters per second from a height of 18.9 meters from the ground, as a function of time in seconds. In how many seconds will the ball hit the ground?
Answer:
9 seconds
Step-by-step explanation:
y = -4.9t² +42t +18.9
if the ball will be on the ground then y =0 and we need to find t by solving the quadratic equation
-4.9t² +42t +18.9 = 0
t= (-b±√b²-4ac)/2a, quadratic formula
t= {-42±√[42²-4*(-4.9)(18.9)] }/ 2(-4.9) , use calculator to solve
t= (-42 ±√2134.44)/ -9.8, solve the square root
t= (-42 ±46.2)/-9.8
one t = (-42 - 46.2)/-9.8 = - 88.2/ -9.8 = 9 seconds
another t = (-42 + 46.2)/-9.8 = 4.2 / -9.8 ≈ - 0.43 seconds reject this answer
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