Answer:
[tex]m(c(a)) = 4.8875a[/tex]
Step-by-step explanation:
The missing parameters are:
[tex]c(a) = 4.25a[/tex] --- Cost of marble countertops
[tex]m(c) = 1.15c[/tex] --- Cost of retail markup
Required
The cost of marked up price
This implies that we calculate m(c(a))
We have:
[tex]c(a) = 4.25a[/tex]
[tex]m(c) = 1.15c[/tex]
[tex]m(c) = 1.15c[/tex] can be written as:
[tex]m(c(a)) = 1.15*c(a)[/tex]
Substitute: [tex]c(a) = 4.25a[/tex]
[tex]m(c(a)) = 1.15*4.25a[/tex]
[tex]m(c(a)) = 4.8875a[/tex]
Hence, the cost of marked up price is: [tex]m(c(a)) = 4.8875a[/tex]
Two observers are standing on shore ½ mile apart at points A and B and measure the angle to a sailboat at a point C at the same time. Angle A is 63° and angle B is 56°. Find the distance from each observer to the sailboat. Round to the nearest hundredth of a mile.
Answer:
Step-by-step explanation:
The length 0.51 miles and 0.47 miles are the distances from each observer to the sailboat.
What is the Sine Rule?The Law of Sines (also called the Sine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.
Triangle is a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry.
As per the given question, the given data as:
A = 63
B = 56
C = 61 (because these angles should add up to 180)
c = 1/2
We know that the Sine Rule,
sin 63 / a = sin 61 / .5
a = 0.51 miles
sin 56 / b = sin 61 / .5
b = 0.47 miles
Therefore, the length 0.51 miles and 0.47 miles are the distances from each observer to the sailboat.
Learn more about Trigonometric functions here:
brainly.com/question/6904750
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Solve the equation by graphing. x^2-7x+12=0
Answer:
the answer is GH mm djmwshdnsnda
Can some one help me on 11- 12
Answer:
11. 6 feet 12. 140 inches cubed
Step-by-step explanation:
To get the cylinder use the formula [tex]h=\frac{V}{\pi r^{2} }[/tex].
To get the volume on the laptop use the formula volume=length x width x height.
y=3x+4 and 2x-3y=-26 solve for x and y
Step-by-step explanation:
2x - 3(3x+4) = 26
2x -9x -12 = 26
-7x = 38
x = -38/7
y = 3(38/7) +28/7
y = 142/7
If you bought a stock last year for a price of $103, and it has risen 7% since then, how
much is the stock worth now, to the nearest cent?
Answer:
the stock is worth $110.21
Step-by-step explanation:
The first thing you want to do is multiply 0.07 and 103, to find out what 7% of 103 is. When you multiply those two numbers you are going to get 7.21. You are then going to add 103 and 7.21 to find out how much it would be worth now.
Answer:
$110.21
Step-by-step explanation:
well 7% of 103 is 7.21 so if you add that to 103 it = 110.21
Help me please aahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Question 3
The equation y = 3x − 3 can be used to find y when x is given. Which question can be answered using this equation?
Select one:
Daniel is 3 years younger than 3 times Allison's age. How old is Daniel?
The cost of the necklace is more than 3 times the cost of the earrings. What is the cost of the earrings?
Mr. Byrd worked 3 hours less than 2 times his regular shift on Tuesday. How many hours is his regular shift?
Jacqui and Alex spent 3 hours more than 3 times the original time planned to build the new deck on their house. How much time did they spend?
A teacher takes her nephew shopping. She tells her nephew that they can spend x dollars knowing
that 16x = 641.6.
What operation does the nephew need to use to find how much money they can spend?
Choose the correct answer below:
A.Addition
B. Division
C. Multiplication
D. Subtraction
Answer:
division
Step-by-step explanation:
division so as to find the value of x
Find the area of the trapezoid.
What is the area of a trapezoid with bases of 19.6 yd and 29.7 yd and a height of 19.1 yd?
Answer:
470.81 or 470.815
Step-by-step explanation:
A rake was marked up 25% from an original cost of $8.80. Last Friday, Dean bought the rake and paid an additional 3% in sales tax. What was his total cost?
Answer:
$11.33
Step-by-step explanation:
First I did 8.80 x 0.25 and I got 11. Than I did 11.00 x 0.03 and I got $11.33. The total cost was $11.33
The total cost of the rake is $11.33.
What is the sales tax?Calculating the sales tax applied to a purchase is a matter of simply multiplying the tax rate by the purchase price using the equation sales tax = purchase price × sales tax rate. Adding the sales tax to the original purchase price gives the total price paid with tax.
Given that, a rake was marked up 25% from an original cost of $8.80.
25% of the original cost of $8.80 is
0.25×8.80 =$2.2
So the marked up price was 8.80+2.20
= $11
He then paid an additional 3% in sales tax, that is
11 + 0.03×11 = $11.33
Therefore, the total cost of the rake is $11.33.
To learn more about the sales tax visit:
brainly.com/question/27092799.
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Giving brainliest, easy question
A circle is centered at (5, −9) and has a radius of 12. Which of the following is the equation for this circle?
(x − 5)2 + (y + 9)2 = 12
(x − 5)2 + (y + 9)2 = 144
(x + 5)2 + (y − 9)2 = 144
(x + 5)2 + (y − 9)2 = 12
Answer:
(x − 5)2 + (y + 9)2 = 144
Step-by-step explanation:
Hope this helps
Please no links :) giving brainliest, try to answer as soon as you can :)
Answer:
102,9 cm^2
Step-by-step explanation:
First of all we can find the area of the two rectangles at the sides of the figure
A rectangle = length x width = 8 x 4 = 32 cm^2
the rectangles are two so:
32 x 2 = 64 cm^2
for the figure in the center we can proceed like this: we can initially assume that also it is a rectangle, so we have to find the length
length = 16-8 = 8 cm
A = 8^2 = 64 cm^2 (so we have discovered that is a square)
if we look we can see that there is also a semicircle that is not part of the figure. We have to find its area and subtract it to the area of the square
A semiciricle = (radius^2 π)/2
radius = 8/2 = 4 cm
A semicirlce = (4^2) π/2 = 25,13 cm^2
64 - 25,13 = 38,87 cm^2
At least we have to added up this value to the area of the two rectangles
total area = 38,87 + 64 = 102,87 = 102,9 cm^2
Use the gcf to factor: 6e+24n
Answer:
6(e+4n)
Step-by-step explanation:
(mark brainliest if you want, thx)
A company makes wax candles shaped like rectangular prisms. each candle is 5 cm long, 2 cm wide and 12 cm tall. if the company used 5040 cm^3 of wax, how many candles did they make ?
Answer:
[tex]42[/tex]
Step-by-step explanation:
V=whl=2·12·5=120,
5040 divided by 120= 42
I need help ASAP will give brainliest
Divide 1000 into two parts such that one part is a multiple of 47 and the other is a multiple of 19 ( Show me your working)
= 1000
I know
I think hope this helps
really confused about this
Answer:
.22/63
Step-by-step explanation:
area = pi x R^2
A=22/7 * 1/3^2
Time Remaining56:19m:s When I have walked 20 % of the way to school, I have 1200 metres more to walk than when I have 20 % of the walk remaining. How far, in metres, is it from my home to my school?
Answer:
x = Total distance from your home to school = 1,500 meters
Step-by-step explanation:
Let
x = Total distance from your home to school
When you walked 20% of the way to school, you still have 1200 meters more to walk
Walked distance = 20% of x
= 20/100 * x
= 0.2 * x
= 0.2x
Total distance - walked distance = 1200 meters
x - 0.2x = 1200
0.8x = 1200
x = 1200 / 0.8
x = 1,500 meters
x = Total distance from your home to school = 1,500 meters
Which quadrilateral makes this statement true?
Quadrilateral ABCD
В
46
26
26
A (98
98)
118
11.7 11.7
D
Quadrilateral ABCD
Answer:i have no idea
Step-by-step explanation:
Does n e one get t?
What is ?
A.20º
B.70º
C.90º
D.180º
Answer:
i think it is 90
Step-by-step explanation:
remember the line is srait
Can u help solve this step by step?
Answer:
[tex]\sqrt{28}[/tex]
Step-by-step explanation:
It is given that the triangle (QRS) is right, thus one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states,
[tex](a)^2+(b)^2=(c)^2[/tex]
Where (a) and (b) are the legs or the sides adjacent to the right angle and (c) is the hypotenuse or the side opposite the right angle. The unknown side in the triangle is a leg, thus, let (b) represent this value. Substitute in the given values and solve,
[tex](6)^2+(b)^2=(8)^2\\\\36+b^2=64\\\\b^2=28\\\\b=\sqrt{28}[/tex]
The table shows the bowling scores for Bill and Tonya in a given game set.
Who is a better bowler based on the median scores, and why?
Pls no links
find the volume of the cylinder!
Use 3.14 for pi-
round your answer to the tenths place !!
Will mark b if correct:)
Answer: this is the answer i got before rounding it 2123.72 but your answer is 2123.7 hope it helps
Step-by-step explanation:
Help ASAP pls now and thank u
Answer:
A)25
Step-by-step explanation:
5 x 5 = 25
Answer:
B.......
because to work out the area of a sphere we use
4 pie (r)²
What is the area, measured in square meters, of the parallelogram shown?
Round to the nearest tenth, if necessary.
Answer:
A = (11 m)(4.33 m) = 47.6 m^2
Step-by-step explanation:
The width of this parallelogram is (5 m)(sin 60 degrees), or approximately 4.33. This is the length of the dashed line shown.
The area of this parallelogram is A = (length)(width), which here is:
A = (11 m)(4.33 m) = 47.6 m^2
Answer:
55
Step-by-step explanation:
i think
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
Carl is correct. So the 2nd option
Step-by-step explanation:
A rectangle- a quadrilateral
it also had 4 sides and vertices.
I hope this Helps!
what is 12 divided by 25358
0.0004732
12/ 25358
answer depends if you want to round it
3/4•3/4???? I can’t do it in my head and I don’t know how to make a decimal into a fraction
Answer:
0.5625
Step-by-step explanation:
3/4 as a decimal is 0.75
0.75×0.75=0.5625
Answer:
0.75 x 0.75 = 0.5625
Step-by-step explanation:
3/4=.75
Need help please I don’t understand this question
Answer:
a) 9
Step-by-step explanation:
f(2) basically equals to y when x=2 and the y coordinate at x=2 is 9
The tower is 10.00 m tall, and the angle of depression from the top of the tower to the point on the ground is 22°.
Complete question :
The tower is 10.00 m tall, and the angle of depression from the top of the tower to the point on the ground is 22°How far is the point from the base of the tower.
Answer:
4.04 meters
Step-by-step explanation:
To obtain the distance between baso of tower and point P on the ground as shown in the solution diagram :
Using trigonometry :
Tan θ = Opposite / Adjacent
Tan 22° = x / 10
0.4040262 = x / 10
0.4040262 * 10 = x
x = 4.04
Hence, distance between base of tower and point P on the ground is 4.04 meters
SOMEONE PLZ HELP ME
In the following inequality, x ≥ −2, what type of circle would appear on the number line (open or closed circle) and in which direction would the arrow point on the number line(right or left)?
Also, what is a possible solution to x ≥ −2?
Please answer all of the questions in sentence form.
Answer:
this would be a closed circle all innequalities with a greater to or equal to or less than or equal to they will always be closed if it just says less than or greater than it will be open
Step-by-step explanation:
Answer:Closed Circle To the right