The Great Pyramid of Cheops is a square-based pyramid. The base has sides of 230m, and the height is 147m.
Using the same material, what would the height be if you gave the base sides of 240m?
Answer to nearest meter and explained solution please.
Answer:
height = 140.875m
Step-by-step explanation:
Volume of first pyramid= base * height /3 = 230*147/3= 11270
if the base is 240, volume is remain -> height = volume *3 /base
= 11270*3/240 =140.875m
Find the compound interest on GHS 50,200 invested at 13% p.a. compounded annually for 3 years ( to the nearest
GHS).
Select one:
A. GHS 19,578
B. GHS 69,778
O
C. GHS 72,433
D. GHS 22.233
Answer:
D
Step-by-step explanation:
First found amount yielded
A = P(1+r)^nt
P is amount deposited 50,200
r is interest rate 13% = 13/100 = 0.13
t = 3
A = 50,200(1+0.13)^3
A = 50,200(1,13)^3
A = 72,433.42939999998
A is approximately 72,433.43
interest = A - P = 72,433.43-50,200 = 22,233.43= 22,233 to the nearest GHS
There were 15 students running in a race. How many different arrangements of first, second, and third place are possible?
Answer:
The area 2730 possible arrangements of first, second, and third place.
Step-by-step explanation:
The order in which the students finish is important. For example A, B and C is a different finishing order(outcome) than B, A and C. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
3 from a set of 15. So
[tex]P_{(15,3)} = \frac{15!}{(15-3)!} = 2730[/tex]
The area 2730 possible arrangements of first, second, and third place.
Find the length of the missing side. Round to the nearest whole number. Hypotenuse of 25 long leg of 24
Answer:
7
Step-by-step explanation:
Use pythagorean thereom:
24^2+x^2=25^2
x^2=49
x=7
So, the missing side is 7.
Answer:7
Step-by-step explanation:
hypotenuse =25
The long leg =24
Let the missing side be B
B=√(25^2-24^2)
B=√(25x25-24x24)
B=√(625-576)
B=√(49)
B=7
In mr nathans class there are 8 boys and 10 girls what is the ratio of girls to boys
Answer:
10-8
Step-by-step explanation:
Consider the polynomial: StartFraction x Over 4 EndFraction – 2x5 + StartFraction x cubed Over 2 EndFraction + 1 Which polynomial represents the standard form of the original polynomial? StartFraction x cubed Over 2 EndFraction – 2x5 + StartFraction x Over 4 EndFraction + 1 –2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1 –2x5 + StartFraction x Over 4 EndFraction + StartFraction x cubed Over 2 EndFraction + 1 1 – 2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction
Answer:
(B)[tex]-2x^5+\dfrac{x^3}{2}+\dfrac{x}{4}+1[/tex]
–2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1
Step-by-step explanation:
Given the polynomial: [tex]\dfrac{x}{4}-2x^5+\dfrac{x^3}{2}+1[/tex]
We are required to pick an equivalent polynomial which is in standard form.
A polynomial is in standard form when it is written in descending powers of x.
Therefore, rearranging the polynomial above, we have:
[tex]-2x^5+\dfrac{x^3}{2}+\dfrac{x}{4}+1[/tex]
The correct option is B.
The correct answer is B. –2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1
hope you have a great day :D
Describe how to graph point K at (5, 4) the steps
Answer:
here is ur answer
George drew a line on a coordinate system by starting at (0,-5), then moved 2 units to the right and 1 unit up to locate each new point. Which is the equation of the line George Drew?
Answer:
y = 1/2x - 5
Step-by-step explanation:
I'm going to use slope-intercept form. Your y-intercept is already shown when x is zero, which is (0,-5). Your slope is defined as rise over run, so 1/2 in this case. This gives you an equation of f(x) = 1/2x-5
From a class of 25 students how many group of 4
Answer: Well, 4 groups of four, and roughly 6 student in a group
Step-by-step explanation:
The question is not clear, but 25 divided by 4 is 6.25, but it’s students so 6 or 7.
2. Which equation has no solution? *
1 poir
O x-5(x + 4) = 2(2x + 7) + 6
O 5(x + 1) - 3x = 5 - 2(5 - x)
O 1 - 3(x + 3) = 2(3x – 4) - 9x
O 3(x - 4) + x = 4(3 - x)
Answer:
5(x+1) - 3x = 5 - 2(5-x)
Step-by-step explanation:
This has no solution. Explanation:
5(x+1) - 3x = 5 - 2(5-x)
5x + 5 - 3x = 5 -10 + 2x
2x + 5 = -5 + 2x
5 = -5
From the result above, clearly there is no x to satisfy the equation, because 5 (to the left) can never be the same as -5 (to the right).
In the interval 0 degrees < x < 360 degrees, find the values of x for which cos x =-0.4226
Give your answers to the nearest degree.
Answer:
The value of x within the interval are 115° and 245°Step-by-step explanation:
Given the trigonometric equation;
cos x =-0.4226
To get the value of x within the range 0° < x < 360°, we need to take the arc cosine of the value as shown;
x = arccos -0.4226
x = 114.99°
x ≈ 115°
Since x is positive in the 4th quadrant, the value of x can also be 360 - [tex]\theta[/tex]
where [tex]\theta = 115^{o}[/tex]
x2 = 360°-115°
x2 = 245°
The value of x within the interval are 115° and 245°
Answer:
The value of x within the interval are 115° and 245°
Step-by-step explanation:
In the diagram, the measure of angle 9 is 85°
Which angle must also measure 85°?
<2
<5
<11
<12
Please help, need answer ASAP !! :)
Answer: 11
Step-by-step explanation:
Vertically opposite angles
Answer: <11
Step-by-step explanation:
<9 and <11 are vertical angles, so they are congruent.
Tyson wants to buy some juice pouches. He has four options to choose from.
Which option has the lowest cost per pouch?
O A 8 pouches for $2.04
O B 10 pouches for $2.69
O C 12 pouches for $2.80
O D 16 pouches for $3.80
Explanation:
x = number of pouches
y = cost for having x number of pouches
To find the unit cost, divide y over x
For choices A through D we have the following unit costs
y/x = 2.04/8 = 0.255y/x = 2.69/10 = 0.269y/x = 2.80/12 = 0.233 (approximately)y/x = 3.80/16 = 0.2375We see that 0.233 is the lowest unit cost, so therefore, Choice C is the lowest cost per pouch.
Prove that the diagonals of a rectangle bisect each other.
The midpoints are the same point, so the diagonals _____
are parallel to each other.
bisect each other.
have the same slope.
are perpendicular to each other.
Answer:
bisect each other.
Step-by-step explanation:
The midpoints are the same point, so the diagonals bisect each other.
__
More elaboration on a proof
The alternate interior angles formed by diagonals and the sides of the triangle are congruent, so the (point-to-point) triangles formed by the crossing diagonals are congruent ASA. Since the sides of those triangles are congruent, the diagonals meet at their midpoints. That is, the diagonals bisect each other.
some help?I don't know how to solve it
Over what interval is the graph of f(x) = -(x + 8)2 – 1 decreasing?
0 (-8, 0)
O (8, 0)
(- 0,8)
(-∞, -8)
Answer:
(-8, infinity)
Step-by-step explanation:
it's the first option on edge
The solution is, : The given function f(x) is decreasing on the interval :
(-8, +∞).
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
The function is given to be : f(x) = (x + 8)² - 1
To find the interval of decreasing, first find the critical points of the function f(x)
f(x) = (x + 8)² - 1
⇒ f'(x) = 2(x + 8)
Critical Point : x = -8
Now, Intervals are : (-∞ , -8) and (-8, +∞)
For the interval : (-∞ , -8)
f'(x) > 0 ⇒ f(x) is increasing on this interval.
For the interval : (-8, +∞)
f'(x) < 0 ⇒ f(x) is decreasing on this interval.
Hence, The given function f(x) is decreasing on the interval : (-8, +∞).
To learn more on function click:
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Healthy grains is planning a new design for its best-selling oatmeal. It has four containers to choose from
The question is incomplete:
Healthy Grains is planning a new design for its best-selling oatmeal. It has four containers to choose from. It costs the company $0.03 per cubic inch of oatmeal to fill a container. The company does not want the new container to cost more than $4.00 to fill. Which container should the company use? Use 3.14 for Pi.
Container A: A cylinder with height 7 inches and diameter 5 inches.
Container B: A cylinder with height 10 inches and B = 12.57 inches squared.
Container C: A cylinder with height 5.5 inches and radius 4 inches.
Container D: A cylinder with height 6 inches and radius 3 inches.
Answer:
Container B
Step-by-step explanation:
To find the answer you have to calculate the volume of each container and then, multiply that for $0.03 that is the cost per cubic inch to fill a container.
The formula to calculate the volume of a cylinder is:
V=πr^2h, where
r= radius
h= height
πr^2= base area
Container A:
The radius is half the diameter, so 5/2=2.5.
V= 3.14*(2.5^2)*7= 137.37
Cost= 137.37*0.03= 4.12
Container B:
12.57 inches is the base area, so:
V= 12.57*10= 125.7
Cost= 125.7*0.03= 3.77
Container C:
V= 3.14*(4^2)*5.5= 276.32
Cost= 276.32*0.03= 8.28
Container D:
V= 3.14*(3^2)*6
V= 169.56*0.03= 5.08
According to this, the answer is that the container that the company should use is container B because it costs less than $4.00 to fill.
Find the missing value:
2 : x = 6 : 15
nts
Answer:
x = 5
Step-by-step explanation:
2 : x 6 : 15
Divide the second by 3
6/3: 15/3
2:5
x = 5
2:x is the simplified version of 6:15.
So, we can divide to find the value of x.
6/3:15/3
2:5
Therefore, the value of x is 5.
Bes of Luck!
what is the sum of 21 and 5 times a number f is 61
Answer:
f = 8
Step-by-step explanation:
21 + 5f = 61
5f = 61 - 21
f = (61 - 21) / 5
f = 8
Answer:
f = 8
Step-by-step explanation:
"Sum" = addition
"Times" = multiplication
Write an equation to represent this scenario
21 + 5 * f = 61
Multiply 5 by f
21 + 5f = 61
Subtract 21 from both sides of the equation
5f = 40
Divide both sides of the equation by 5
f = 8
Hope this helps :)
On a coordinate plane, a line is drawn from point K to point J. Point K is at (160, 120) and point J is at (negative 40, 80).
What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J?
x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1
y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1
(40, 96)
(85, 105)
(80, 104)
(96, 72)
Answer:
the answer is (40,96)
Step-by-step explanation:
Point P on the directed line segment from K to J has x and y coordinates that are three-fifths of the length of the line segment from K to J
(85, 105).
What are coordinates?The coordinates point to any point can be found by using the following formula.
X = [m/(m + n)](x₂ - x₁) + x₁
Y = [m/(m + n)](y₂ - y₁) + y₁
Given, On a coordinate plane, a line is drawn from point K to point J. Point K is at (160, 120) and point J is at (negative 40, 80).
The x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J is;
X = [m/(m + n)](x₂ - x₁) + x₁
X = [3/(3 + 5)](- 40 - 160) + 160.
X = - 75 + 160.
X = 85.
Y = [m/(m + n)](y₂ - y₁) + y₁
Y = [3/(3 + 5)](80 - 120) + 120.
Y = - 15 + 120.
Y = 105
As a result, point P's x and y coordinates are such that P is three-fifths the length of the directed line segment from K to J (85, 105).
learn more about co-ordinates here :
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Graph the circle which is centered at (-7, -6) and has a radius of 2 units.
Answer:
(x+2.3)^2 + y^2=36/49
Step-by-step explanation:
A TV station is going to air a movie marathon with 8 movies. It will consist of 2 science fiction movies and 6 horror movies. The horror movies will be aired later in the evening. So, all of the horror movies will be aired last (after both of the science fiction movies). In how many ways can the station air the movie marathon?
Answer:
Total ways to run movies = 1,440
Step-by-step explanation:
Given:
Number of total movies = 8
Number of science fiction movie = 2
Number of horror fiction movie = 6
Find:
Total ways to run movies.
Computation:
Number of science fiction movies way air = 2!
Number of science fiction movies way air = 2×1
Number of science fiction movies way air = 2
Number of horror fiction movies way air = 6!
Number of science fiction movies way air = 6×5×4×3×2×1
Number of science fiction movies way air = 720
Total ways to run movies = 2 × 720
Total ways to run movies = 1,440
What is the mean of the probability distribution?
Answer:
2.0
Step-by-step explanation:
assuming this is from edge 2.0 is correct
Answer:
c
Step-by-step explanation:
3. Jack made 25
birdhouses. Jill made
49 birdhouses. They
sold 63 birdhouses at
their store. How many
birdhouses do they have
left?
Answer:
11 left
Step-by-step explanation:
The total number of houses made
25+ 49 = 74
They sold 63
74-63 =11
There are 11 left
I think that 11 is the answer
The measure of an angle is 75°. What is the measure of its supplementary angle?
Answer:
105
Step-by-step explanation:
Supplementary angles add to 180 degrees
Let the unknown angle be x
75+x = 180
Subtract 75 from each side
75+x-75=180-75
x = 105
Given tan A = − 12/35 and that angle A is in Quadrant IV, find the exact value of sinA in simplest radical form using a rational denominator.
Answer:
Sin A= − 12/37
Step-by-step explanation:
tan A = − 12/35
Reason for minus sign is because of it's in the fourth quadrant.
12 = opposite
35 = adjacent
? = Hypotenuse
12² + 35² = hypotenuse ²
1369 = hypotenuse ²
hypotenuse = √1369
hypotenuse= 37
Sin = -12/37
Reason for minus sign is because of it's in the fourth quadrant.
1
2
5
10
Which of these can be considered "online banking?"
I. A brick-and-mortar bank that allows its customers to transfer money online,
II. A bank that has only a few branches but has customers depositing money online.
III. A bank that does not exist as a real building, but only has an internet presence.
a. I and 11
b. II and III
C.
III only
d. I, II, and III
Please select the best answer from the choices provided
Answer:
C
Step-by-step explanation:
c because it is only online period
Find an
angle 0 coterminal to 701°, where 0°
Answer:
341°-19°Step-by-step explanation:
Subtracting 360°, you get ...
701° -360° = 341°
Subtracting 360° again, you get ...
341° -360° = -19°
Angles 341° and -19° are coterminal with 701°.
_____
Additional comment
You can find additional angles by adding or subtracting multiples of 360°. We presume you require an angle in a specific range. Hopefully this gives you enough information to help you find the angle you're looking for.
Find the height of the cylinder if the volume is 225 yard and diameter is 5 yd
Answer:
2.86 yards
Step-by-step explanation:
Height = volume/parameter
Parameter = 1/2 diameter * pi
Height = 225 / parameter
Height=2.86
y = -16x2 + 242x + 78
Answer:
y=210x+78
Step-by-step explanation:
y=-16x*2+242x+78
y=-32x+242x+78
y=210x+78
