Answer:
Step-by-step explanation:
Sale price = 950 pounds + vat
Vat = 20%
Value vat = 20/10 × 950 = 190 pounds.
Since the vat is calculated before a discount is applied, it means that the amount on which the discount was applied is
950 pounds
The value of the discount would be
12/100 × 950 = 114 pounds
The amount to be paid including vat is
(950 - 114) + 190 = 1026 pounds
To which interval would we restrict f(x) = cos (x-π/4) so that f(x) is invertible?
Answer:
The range of x values for which y is unique is 2·π
Step-by-step explanation:
For a function j: X → Y to be invertible, we have that for every y in Y, there is associated only one x which is an element of x
Hence, f(x) = cos(x - π/4) gives
the x intercept at two penultimate points of the graph of cos(x - π/4) are;
x = 2.36, and x = 8.64
x = 3/4·π, and x = 2.75·π = [tex]2\tfrac{3}{4}\cdot \pi[/tex]
Hence the range of x values for which y is unique is presented as follows
[tex]2\tfrac{3}{4}\cdot \pi - \frac{3}{4}\cdot \pi = 2}\cdot \pi[/tex]
The range of x values for which y is unique = 2·π.
Here is a triangular pyramid and its net.
The lateral faces are congruent triangles. The base (shaded) is an equilateral triangle.
(All lengths are in millimeters.)
Answer:
a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]
b) Area of one lateral face = [tex]24\ mm^{2}[/tex]
c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]
d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]
Step-by-step explanation:
We are given the following dimensions of the triangular pyramid:
Side of triangular base = 6mm
Height of triangular base = 5.2mm
Base of lateral face (triangular) = 6mm
Height of lateral face (triangular) = 8mm
a) To find Area of base of pyramid:
We know that it is a triangular pyramid and the base is a equilateral triangle. [tex]\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\[/tex]
[tex]{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}[/tex]
b) To find area of one lateral surface:
Base = 6mm
Height = 8mm
Using equation (1) to find the area:
[tex]\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}[/tex]
c) To find the lateral surface area:
We know that there are 3 lateral surfaces with equal height and equal base.
Hence, their areas will also be same. So,
[tex]\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}[/tex]
d) To find total surface area:
Total Surface area of the given triangular pyramid will be equal to Lateral Surface Area + Area of base
[tex]\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}[/tex]
Hence,
a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]
b) Area of one lateral face = [tex]24\ mm^{2}[/tex]
c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]
d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]
Answer:
Sample answer A triangular pyramid with an equilateral triangle for a base has four faces the equilateral triangular base and
three congruent isosceles triangular faces
Step-by-step explanation:
In ΔNOP, the measure of ∠P=90°, OP = 31 feet, and NO = 39 feet. Find the measure of ∠N to the nearest tenth of a degree
Answer:
52.6
Step-by-step explanation:
If you drew the triangle correctly, NO would be the hypotenuse (39), PO would be a leg of the triangle(31) and the other leg NP is unknown (we dont need to care about that too much). To find angle N, we can use trig. We can use sin to figure this out since we are given a side opposite to angle N and we are given the hypotenuse. (sin=opposite/hypotenuse). However, since we are trying to figure out the angle, we have to use arc sin or [tex]sin^{-1}[/tex] on the calculator. So if we type [tex]sin^{-1}[/tex](31/39), we get 52.6
I can explain more if you dont understand
Answer:
23
Step-by-step explanation:
Help please help please I’m begging you
Answer:
A = 143 cm^2
Step-by-step explanation:
The area of a rectangle is found by
A = b*h where b is the base and h is the height
A = 11 *13
A = 143 cm^2
Answer:
11x13
143
Step-by-step explanation:
Can 0.8 be the probability of an outcome in a sample space
Yes or no
Answer:Yes
Step-by-step explanation:
True or False.
A dilated image is similar to the pre-image.
Answer:
True
Step-by-step explanation:
Because they have the same shape but not the same size so they are similar and not same
some one can help me please
Answer:
C
Step-by-step explanation:
Let's say Abudal's score = x.
We can do,
3x + x + x + 5 = 45
5x = 45
x = 8.
That means Abdul's scored 8 points, meaning Kendall scored 24,(8*3), and that Otis scored 13, since 8 + 5 = 13.
Help please:( idk this
Answer:
48 degrees
Step-by-step explanation:
A triangles degrees all add up to 180
so
180-90= 90 (90 is a square corner)
90-42= 48 (42 is the other known degree)
will mark brainliest
jeffs water bill includes a base charge of 12$ plus a charge of 1.50$ for each 1000 gallons of water used. jeffs water bill is 28.50$
how many gallons of water did jeff use?
Answer:
11,000 gallons
Step-by-step explanation:
Jeffs water bill = 28.50
Charge for water used = 28.50 - 12 = 16.50
Therefore number of gallons used = 16.50/1.50 x 1000 = 11,000 gallons
18. Find " y " when x = -4.25
y = 20x - 16x²
Answer:
204
Step-by-step explanation:
Plug it into a calculator
or
20 multiplied by -4.25 then subtracted by 16 times -4.25 squared.
pls help , need this done by tomorrow.
Answer:
Q matches to a and P matches to b
Step-by-step explanation:
This is a volume question so we can use the volume of a cylinder to see which one corresponds to what. Volume of a cylinder is [tex]\pi[/tex][tex]r^{2}[/tex]h. We know that the heights of the cylinders are the same since the diagram says so. We also know pi is the same since thats a constant. The only thing thats different is the radius (as you can see radius of P is bigger than Q). If the radius of P is bigger than Q and all the other things are the same (height is the same and pi is the same), then that automatically means that P has more volume than Q. More volume means more time to fill up. Since Q has less volume, it will take less time to fill up. So now we look at the graph. A shows that the height of water increases at a faster rate than that of B. This is because there is less volume in that container (less volume=less time to fill up). Therefore a matches to Q and therefore b matches to P
To solve the system of linear equations 3x - 2y - 4 and 9x-by= 12 by using the linear combination method, Henry decided that
he should first multiply the first equation by -3 and then add the two equations together to eliminate the x-terms. When he did
so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite
number of solutions. To check his answer, he graphed the equations 3x-2y = 4 and 9x-by= 12 with his graphing calculator,
but he could only see one line. Why is this?
because the system of equations actually has only one solution
because the system of equations actually has no solution
because the graphs of the two equations overlap each other
because the graph of one of the equations does not exist
Answer:
It is C because when they multiply by 3 the equations are the same
Step-by-step explanation:
Answer:
y=-3x+9 (D)
Step-by-step explanation:
Which of the following questions describes the equation g + (-4) = -5? help
Answer:
Write equations of quadratic functions given the vertex and another point on the graph, ... You can do all of your homework online with built-in examples and ... For additional support when ... drops an orange into the river below from a height of 40 ft. ... y = 135 - x2 gives the area (in square feet) of the wall ... In addition to.
Step-by-step explanation:
Answer:
What number when added to negative four equals negative 5
Step-by-step explanation:
Just say thanks
For the given circle, find the value of x
Answer:
230
Step-by-step explanation:
the angle 115 is half of that arc
... since the last war, some mitigation of slavery has been
obtained in some respective districts of America, though
not in proportion to their own vaunted claims of
freedom; but it is to be hoped, that they will yet go to
make a further and greater reformation.
- Thoughts and Sentiments on the Evil and
Wicked Traffic of the Slavery and Commerce of
the Human Species,
Quobna Ottobah Cugoano
What inference about Cugoano's beliefs is most
supported by the passage?
Cugoano believes that America is a perfect
example of freedom.
Cugoano believes that America is not living up to its
claims of freedom.
Cugoano believes that America will never abolish
slavery
Answer:
Cugoano believes that America is not living up to its
claims of freedom.
Step-by-step explanation:
Answer:
B
the answer before must of confused yalls pretty little heads poor babies
match each term to its definition
Answer:
solar prominence is the 2nd one
solar wind is the 1st one
gamma ray photon is the 3rd one
MARKING BRAINLIEST!!! PLSS HELP ASAPP!! Plz show all work!!!
Answer:
A
Step-by-step explanation:
the area of square is 10²=100
Area of a circle is πr²=π(10/2)²=25π
100-25π=100-25*3.14=100-78.5=21.5
Step-by-step explanation:
Multiply 10 by 10, then find the area of the circle (78.54) then subtract, 100-78.54= 21.46. Then round. So its A. 21.5 meters squared
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
7x-y=7
x+2y=6
Answer:
x = 4 / 3, y = 7 / 3
Step-by-step explanation:
We are given the following system of equations;
{ 7x - y = 7, ⇒ Let us multiply the first equation by 2,
x + 2y = 6 }
2 * ( 7x - y = 7 ) ⇒ 14x - 2y = 14 ⇒ Now add the two equations
+ x + 2y = 6 + x + 2y = 6
14x + x = 14 + 6 ⇒ Simplify
15x = 20,
x = 4 / 3 ⇒ Now substitute this value of x into the first equation to solve for the value of y,
7 * ( 4 / 3 ) - y = 7 ⇒ Simplify,
28 / 3 - y = 7,
y = 7 / 3
Solution; x = 4 / 3, y = 7 / 3
Which of the following could represent the scale factor of the smaller figure to the larger figure?
4:25
6pi:15pi
8:125
20pi:125pi
16pi:250pi
2:5
Answer:
It could be 2:5 or 6pi:15pi
Step-by-step explanation:
If you write the ratio of the surface area as a fraction, you would get [tex]\frac{20\pi *yd^{2} }{125\pi *yd^{2} }[/tex]. Simplifying it would leave [tex]\frac{4}{25}[/tex]. But this is NOT the answer because that is the ratio of the surface area. You have to square root it to find the scale factor. The square root is [tex]\frac{2}{5}[/tex]. The answers would be 2:5 and 6pi:15pi.
Answer:
6π : 15π
2 : 5
Hank and Lynn are both paying off car loans. • Hank paid $2,000 up front when he bought his car, and he pays $200 each month. • Lynn did not pay any money up front when she bought her car, and she pays $275 each month. Is the relationship between the number of months and the total amount paid proportional for both Hank's and Lynn's loans? Use the drop down menu to explain your answer
Answer:
Proportional for Lynn but not HankStep-by-step explanation:
Proportional relationship formula: y = kxHankHank paid $2,000 upfront when he bought his car, and he pays $200 each month.
This relationship is:
H(x) = 2000 + 200xThis is not proportional.
LynnLynn did not pay any money upfront when she bought her car, and she pays $275 each month.
This relationship is:
L(x) = 275xThis is proportional.
So the answer is:
The relationship between the number of months and the total amount paid is proportional for Lynn's loan.Help me with this please
Answer: 1/8
Step-by-step explanation: there is 2 red and it says how many times can it spin on red twice 2/8
Give me brainly pls trust me 100% correct I’ve learned this already
Answer:
1/8
Step-by-step explanation:
Which is the answer?
Answer:
c
Step-by-step explanation:
They are congruent by ASA because the problem already tells you one side is equal, and also says that the opposite sides are parallel. Therfore, teh opposite interior angles are equal and you can take the vertical angles, leading to ASA.
Answer:
ASA
Step-by-step explanation:
They are congruent by ASA because the problem already tells you one side is equal, and also says that the opposite sides are parallel. Therfore, teh opposite interior angles are equal and you can take the vertical angles, leading to ASA.
Hope this is helpful!
determine the inverse of the function. (show work please)
Answer:
This is easy -- it's just a list of steps. At this level, the problems are pretty simple.
Let's just do one, then I'll write out the list of steps for you.
Find the inverse of f( x ) = -( 1 / 3 )x + 1
STEP 1: Stick a "y" in for the "f(x)" guy:
y = -( 1 / 3 )x + 1
STEP 2: Switch the x and y
( because every (x, y) has a (y, x) partner! ):
x = -( 1 / 3 )y + 1
STEP 3: Solve for y:
x = -( 1 / 3 )y + 1 ... multiply by 3 to ditch the fraction ... 3x = -y + 3 ... ditch the +3 ... subtract 3 from both sides ... 3x - 3 = -y ... multiply by -1 ... -3x + 3 = y ... y = -3x + 3
STEP 4: Stick in the inverse notation, f^( -1 )( x )
f^( -1 )( x ) = -3x + 3
Step-by-step explanation:
Can someone pls answer the question plss
Answer:
the first one
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The y axis or interval (0,Infinity) is forever going more lower and the x is forever going to the negatives
The sum of three mixed numbers is 20 17/30
Two of the numbers are 6 1/3 and 8 5/6
What is the third number?
Answer:
Step-by-step explanation:
6 1/3 plus 8 5/6 is 15 1/6
20 17/30 minus 15 1/6= 5.4 or 5 2/5
Please help and explain. :)
a. Okay, so you multiply the 4.7 and 2.9 together, and then add the exponents
13.63 * 10^10
But we are not done. There can only be one digit in front of the decimal point. So, you move the 13.63 back one place so 1.363. But we have to do this to both sides, so the answer is 1.363 * 10^11.
b. Now you divide the 5.8 and 2, and subtract the exponents.
2.9 * 10^-5
The negative exponent is fine in this case if you were wondering.
c. Expand the scientific notation to 1500, then add the 2491 and then put that in scientific notation is what I would do. You can also express 2491 in scientific notation and add them. Either way you will get 3.991 * 10^3
d. Same thing here except with subtraction. The answer is 6.5 * 10^-4.
This was a little long, sorry. Let me know if you need further explanation. I hope this helps.
Determine the direction that this parabola
opens:
y = -5x2 - 10x - 13
Answer:
sorry cant :(
Step-by-step explanation:
what's equation of the best fit for the graph
Answer:
y=2x+1
Step-by-step explanation:
sketch it with each line answer choice and look at which one is closest to all the points.
anybody
help
me
plz give the
right
answer
thx
Answer:
39 degrees
Step-by-step explanation:
It is assumed given the triangle that angles CBD and ABD are complementary angles since the triangle is a right triangle. Thus, 90-51=39, and therefore angle ABD must be measured 39 degrees.
4sqrt 7^3 in exponential form?
Answer:
7 3/4
Step-by-step explanation:
