Answer:
La altura de la pirámide es de 8.14 unidades.
Step-by-step explanation:
Hay una pirámide cuadrangular regular cuyas caras laterales forman un ángulo que mide 53º con la base y el área de la superficie lateral es 60. ¿Qué altura tiene?
Dado que el área de superficie lateral = 60
Tenemos
Área del triángulo equilátero = (√3 / 4) × a²
(√3 / 4) × a² = 60
a² = 60 / (√3 / 4) = 80 · √3
a = √ (80 · √3) = 11.77 unidades
La altura inclinada = Altura de la superficie inclinada = a × sin (60) = 11.77 × sin (60)
La altura inclinada = 11.77 × sin (60) = 10.194 unidades
La altura de la pirámide = Altura inclinada × sin (ángulo de caras laterales con la base)
La altura de la pirámide = 10.194 × sin (53) = 8.14 unidades.
La altura de la pirámide = 8.14 unidades.
The net profit in dollars per day for a small business owner is given by the equation f(x) = -0.1x^2 + 6 x + 4, where x is the number of employees he hires. If he hires the number of employees that will maximize his profit, what will his profit be in dollars per day? (Enter an exact number.) dollars per day
Answer:
[tex]\large \boxed{\sf \ \ \text{The maximum profit is \$94 per day.} \ \ }[/tex]
Step-by-step explanation:
Hello,
The coefficient in [tex]x^2[/tex] is negative.
So, there is a maximum at the vertex point which is
[tex]x=-\dfrac{b}{2a}==\dfrac{-6}{-0.2}=\dfrac{6}{0.2}=30[/tex]
And then the maximum is f(30)=
[tex]-0.1\cdot 30^2+6\cdot 30 +4=-90 +180+4=94[/tex]
So the maximum profit is 94 $ per day.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
How many terms are in the expression shown?
2n + 5 – 3p + 4q
1
2
3
4
Step-by-step explanation: A term can be a number, a variable, or a number times one or more variables.
So in this expression, the terms are +2n, +5, -3p, and +4q.
This means that there are 4 terms.
The answer is D - 4 :)
Andrew's bicycle has tires with a radius of 7 inches. What is the area of one of the bicycle tires, in terms of π?
Answer:
49π
Step-by-step explanation:
The formula for the area of a circle is,
[tex]\pi r^2[/tex]
If the radius is 7 inches we need to plug that in for r in the formula.
π(7)^2
7*7 = 49
Thus,
the area in terms of pi is 49π.
Hope this helps :)
Answer:
49πStep-by-step explanation:
[tex]r = 7\\A = ?\\A =\pi r^2\\A =\pi7^2\\A = 49\pi[/tex]
According to the rational root theorem, which of the following are possible
roots of the polynomial function below?
F(x) = 6x3 - 7x2 + 2x + 8
Answer:
18- 14+8=3x
4+8=3x
12=3x
12/3=2x/3
x=4
Answer:
2/3, -8, -1/6, 4.
Step-by-step explanation:
Step-by-step explanation:
The rational root theorem states that if the leading coefficient is taken to be an and the constant coefficient is taken to be a0 the possible roots of the equation can be expressed as :
Now, from the given options, the possible choices can be :
A, B, C and E
D can be there because after taking any pair the rational root can't be 3
F can't be possible because an does't have 4 in its factors so denominator cannot be 4.
Find the product. (5p + 2)2^
Answer:
25p^2 + 4 + 20p
Step-by-step explanation:
(5p + 2)^2 = (5p)^2 + (2)^2 + 2 × 5p × 2
= 25p^2 + 4 + 20p
Which equation represents a line that is perpendicular to line FG? A. y=-1/2x+5 B. y=1/2x+2 C. y=-2x-3 D. y=2x-6
The equation of line which is perpendicular to the line FG is
y = -2x -3.
What is equation of line?
The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.
Formula for finding the equation of line from two points [tex](x_{1} ,y_{1} ) and (x_{2}, y_{2} )[/tex][tex](y -y_{1}) = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } (x-x_{1} )[/tex]
What is the slope of two perpendicular lines?If [tex]m_{1}[/tex] be the slope of one line, then the slope of the perpendicular line is [tex]\frac{-1}{m_{1} }[/tex].
What is the slope intercept form of a line ?The slope intercept form of the line is given by y = mx + b
Where, m is the slope of a line.
According to the given question
We have a line FG and the coordinates of points F and G are (-5,1) and (9,8) respectively.
Therefore, the slope of the line FG = [tex]\frac{8-1}{9+5}=\frac{7}{14} =\frac{1}{2}[/tex]
⇒ The slope of the line which is parallel to line FG is -2
Now, from the given option of the equation of line , y = -2x -3 has a slope of -2 .
Hence, the equation of line which is perpendicular to the line FG is
y = -2x -3.
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Bob and Dan earned a total of $72
shoveling snow. If Bob earned 3 times as
much as Dan, how much did each boy
earn?
Answer:
see explanation
Step-by-step explanation:
If Dan earns $x then Bob earns $3x ( 3 times as much as Dan ), then
x + 3x = 72 , that is
4x = 72 ( divide both sides by 4 )
x = 18
Thus
Dan earns $18 and Bob earns 3 × $18 = $54
The earning of Bob will be 54 dollars and the earning of Dan will be 18 dollars.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Let the earning by Bob be x and the earning by Dan be y.
Bob and Dan earned a total of $72 shoveling snow. Then the equation will be
x + y = 72 ...1
If Bob earned 3 times as much as Dan. Then the equation will be
x = 3y ...2
Substitute the value of x in equation 1, then the equation will be
3y + y = 72
4y = 72
y = $18
Then the money earned by Bob will be
x = 3y
x = 3(18)
x = $54
Thus, the earning of Bob will be 54 dollars and the earning of Dan will be 18 dollars.
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Nine-banded armadillos always give birth to quadruplets—four identical babies (called pups). Jenny’s armadillo has produced four female pups. Jenny realizes that each of those pups could eventually have four more armadillos.
a. How many armadillos would Jenny have if the four pups grew up to have four more pups each?
b. What if every generation of Jenny’s armadillos was female? How many armadillos would there be if you only count the ones in the 5th generation? Can you write a formula for the number of armadillos in any given generation? Please explain what each variable and each number in your formula means.
c. According to this formula the world should be overrun with armadillos after 20 to 25 generations. Why isn’t this true in real life?
Answer:
a. 16; b. aₙ = 4ⁿ⁻¹; c. predation and carrying capacity will limit the population
Step-by-step explanation:
a. The first female had 4 pups.
If each of them had 4 pups, there would be 4 × 4 = 4² = 16 pups.
b. 1st generation = 1 pup
2nd generation = 4 × 1 pup = 4 pups
3rd generation = 4 × 4 pups = 16 pups
4th generation = 4 × 16 pups = 64 pups
5th generation = 4 × 64 pups = 256 pups
The sequence is 1, 4, 16, 64, 256, …
We can also write it as 4⁰, 4¹, 4², 4³, 4⁴, …
Note that the exponent is one less than the number of the generation.
Thus, the general formula for the nth term, aₙ, is
aₙ = 4ⁿ⁻¹, where
n = the number of the generation
a = the number of pups in that generation.
c. a₂₅ = 4²⁵⁻¹ = 4²⁴ ≈ 281 000 000 000 000 or 281 trillion
The population would not reach that number because there would not be enough food for all those pups. Pups would die of starvation until their numbers equalled the carrying capacity of the ecosystem and would level off at that point.
There would also be increased predation by coyotes, bobcats, etc. This would also keep the population growth in check,
please help ASAP. Which statement below is NOT true for the graph of a quadratic function? a) the axis of symmetry intersects the parabola at the vertex b) when the coefficient of x^2 is positive, the vertex of the parabola is a minimum point c)The vertex of a parabola is its highest or lowest level d) the parabola is symmetrical about the y-axis
Answer:
Step-by-step explanation:
All of these statements about a vertical parabola with known vertex are true.
The statement which is not always true about the graph of a quadratic function is option d) the parabola is symmetrical about the y-axis.
What is Parabola?A parabola is a open U shaped curve on a plane where all the points on the curve will be at an equal distance from a fixed point called focus and a fixed line called directrix.
Vertex of a parabola is the point where the parabola intersects with it's line of symmetry. So the vertex will always lie at the maximum point or the minimum point.
Axis of symmetry is the line that passes through the vertex of a parabola.
Graph of the quadratic equation will always be a parabola.
When the coefficient of x² is positive, then the vertex of the parabola will be at a minimum point and if the coefficient is negative, then the vertex will be at a maximum point.
The parabola is symmetrical to y axis only if the vertex of the parabola lies on the Y axis. So it will not be always true.
Hence the statement the parabola is symmetrical about the y-axis is not always true.
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The number of people contacted at each level of a phone tree can be represented by f(x) = 3^x where x represents the level.
What is x when f(x) = 27?
A. X = 2; At level 2, 27 people will be contacted.
B. x = 24; At level 24, 27 people will be contacted.
C. x = 3; At level 3, 27 people will be contacted.
D. x = 9; At level 9,27 people will be contacted.
Answer:
3
Step-by-step explanation:
Answer:
c is the correct answer
Step-by-step explanation:
(a) use the pythagorean theorem to determine the length of the unknown side of the triangle, (b) determine the perimeter of the triangle, and (c) determine the area of the triangle. the figure is not drawn to scale.
the length of the unknown side is ____
the perimeter of the triangle is ____
the area of the triangle is ___
Answer/Step-by-step explanation:
a. Unknown side, b, using the Pythagorean theorem is solved as shown below.
[tex] b^2 = c^2 - a^2 [/tex]
[tex] b^2 = 45^2 - 27^2 [/tex]
[tex] b^2 = 1,296 [/tex]
[tex]b = \sqrt{1,296}[/tex]
[tex] b = 36 [/tex]
Unknown side, b, = 36 km
b. Perimeter of the triangle = sum of all the sides of the ∆ = [tex] 36 + 45 + 27 [/tex]
[tex] perimeter = 108 km [/tex]
c. Area of triangle = ½*base*height
where,
Base = 36 km
Height = 27 km
[tex] Area = \frac{1}{2}*36*27 [/tex]
[tex] Area = 18*27 [/tex]
[tex] Area = 486 km^2 [/tex]
What is 5,000 - 245( 30/2))?
Answer:
1,325
Step-by-step explanation:
30 /2
= 155,000 - 245(15)
= 5,000 - 3,675
= 1,325
Answer:
1,325
Step-by-step explanation:
Calculate the shaded region
｡☆✼★ ━━━━━━━━━━━━━━ ☾
First find the area of the sector.
For that, use this equation:
area = [tex]\frac{x }{360} * \pi r^{2}[/tex]
where 'x' is the angle and 'r' is the radius
Sub the values in
area = [tex]\frac{56}{360} * \pi15^2[/tex]
Solve:
area = [tex]35\pi[/tex]
It is easier to keep it in terms of pi until the end
Now, calculate the area of the triangle within the sector
area = 1/2 ab x sinC
where 'a' and 'b' are the radius (side lengths) and C is the angle
thus,
area = 1/2(15 x 15) x sin(56)
area = 93.27 (to 2 d.p)
Now subtract the area of the triangle from the area of the sector
[tex]35\pi[/tex] - 93.27 = 16.6857
This would give you a final answer of 16.69 units^2
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The principal feature of the redesigned checks is a series of printed instructions that the company hopes will help merchants confirm a check’s authenticity, which includes reminders to watch the endorsement, compare signatures, and view the watermark while holding the check to the light.
(A) which includes reminders to watch the endorsement, compare signatures, and view
(B) which include reminders for watching the endorsement, to compare signatures and view
(C) by including reminders for watching the endorsement, comparing signatures, and viewing
(D) including reminders to watch the endorsement, comparing signatures and viewing
(E) including reminders to watch the endorsement, compare signatures, and view
Answer:
(E) including reminders to watch the endorsement, compare signatures, and view
Step-by-step explanation:
The principle features that will help the company to confirms checks authenticity. It include endorsements and compare the signatures with the designated signatories. If the signatures are matched correctly with the assigned signatories the check is hold in light to view the watermark on it.
Help me please
I’m having so much trouble
Answer:
Step-by-step explanation:
5 * 45 = 225
225+75=300
300/500=0.6
The tank will be 60% full.
If this helped, make sure to mark it as brainliest :D
Answer:
C.60%
Step-by-step explanation:
45 x 5 = 225 225 + 75 = 300
300 / 500 = 0.6 = 60%
The text classifies information systems as either operations or management support information systems. Which one of the following would not be classified as an operations support system?
A. Transaction processing systems
B. Process control systems
C. Enterprise collaboration systems
D. Decision support systems
Answer:
D. Decision support systems
Step-by-step explanation:
Operation Support System, sometimes referred to a group of computer programs that is used by the communications service provider for carrying out various operations or functions, such as monitoring, controlling, analyzing and managing a telephone or computer network.
It is often used by professionals such as Network planners, service designers, operations, architects and engineering teams in the service provider.
There are however, types of Operation Support System which are being used for different and specific purpose. They are classified into the following categories:
1. Transaction Processing Systems
2. Process control system
3. Enterprise collaboration system
4. Enterprise Resource
Hence, from the question above, the DECISION SUPPORT SYSTEM is not classified as Operation Support System.
17. Mary bought 10 quarts of juice at the
grocery. How many gallons of juice did
she buy?
A 1.4 gal
C 3.5 gal
B 2.5 gal
D 4.5 gal
Pls help
Answer:
B 2.5 Gal
Step-by-step explanation:
Answer:
I think the correct answer may be B.
Step-by-step explanation:
Instructions: Find the missing side. Round your answer to the
nearest tenth
Answer:
x = 64Step-by-step explanation:
To find x we use tan
tan∅ = opposite / adjacent
From the question
The adjacent is x
The opposite is 30
So we have
tan 25° = 30/x
x tan 25 = 30
Divide both sides by tan 25
x = 30/tan 25
x = 64.34
x = 64 to the nearest tenth
Hope this helps you
What is the value of x
Answer:
4
Step-by-step explanation:
For the first triangle which is triangle <KJL
Hypotenuse= 8✓2
Angle=30°
Opposite = ?
Therefore we will use Sine formula
Sin30° = Y/8✓2
Y=4✓2
For the second triangle which is triangle <JML
Hypotenuse= 4✓2
Opposite=X
Angle=45°
Therefore we will use Sine formula again
Sin45°=X/4✓2
X=4
Answer:
x = 4Step-by-step explanation:
ΔJKL is half of equilateral triangle and ΔJML is half of square.
We can use properties of these triangles (picture):
m∠KJL=90° and m∠JKL = 30° ⇒ JL = 0.5KL = 0.5•8√2 = 4√2
m∠JML=90° and m∠MJL = 45° ⇒ JL = ML√2
4√2 = x√2
x = 4
Which line will have no solution with the parabola y - x + 2 = x2?
5
3+
N
-5 -4 -3 -4
2 3 4 5 X
th
-3
44+
-5
Answer:
yes
Step-by-step explanation: i agree its 3
Drew likes to take the long way to school each morning. He walks 3 blocks west and then 3 blocks north to arrive at the school. Today he is running late and decides go directly to school to save time. (Assume there is nothing obstructing his path.) If one block is 310 feet, how many feet will he travel if he goes directly to school? Round to the nearest tenth of a foot.
Answer:
Distance travel by Drew = 1,315.21 feet (Approx)
Step-by-step explanation:
Given:
Total block in north = 3
Total block in west = 3
1 block = 310 feet
Find:
Distance travel by Drew
Computation:
Total distance in north = 3 × 310 = 930 feet
Total distance in west = 3 × 310 = 930 feet
Distance travel by Drew = √Total distance in north² + Total distance in west²
Distance travel by Drew = √930² + 930²
Distance travel by Drew = √864,900 + 864,900
Distance travel by Drew = √1,729,800
Distance travel by Drew = 1,315.21 feet (Approx)
Please help me!!!!!! I do not understand...
Answer:
the second one........the shape of the conic section os circle
how to do this question plz
Answer:
48.
Step-by-step explanation:
[tex]\frac{24\sqrt{72} }{3\sqrt{2} }[/tex]
= (24 / 3) * [tex]\frac{\sqrt{72}} {\sqrt{2} }[/tex]
= 8 * [tex]\frac{\sqrt{72} * \sqrt{2}} {\sqrt{2} * \sqrt{2} }[/tex]
= 8 * [tex]\frac{\sqrt{144}} {2}[/tex]
= 8 * (12 / 2)
= 8 * 6
= 48.
Hope this helps!
Which is the graph of f(x) = (x - 1)(x + 4)?
4
2
2.
2
4
B
-6
2
X
-2
8
-6
Ty
6
2
Answer:
Its the last option. On the bottom.
Step-by-step explanation:
You need to Solve for x to find the zeroes of the equation.
x-1=0 So one x is at 1.
x+4=0 So the other x is at -4.
This graph is also not negative so it does not get flipped across the x-axis
The graph of the function [tex]f(x) = (x - 1)(x + 4)[/tex] is graph (d)
How to determine the graphThe equation of the function is given as:
[tex]f(x) = (x - 1)(x + 4)[/tex]
From the above function, we have the zeros of the function to be:
1 and -4
This means that:
The graph of the function passes through the x-axis at x =1 and x = -4The graph opens upwardHence, the graph is graph (d)
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What is the approximate angle between two position vectors if their terminal points are (5, -2) and (7, 3)?
Hi,
Answer:
[tex]Angle=\frac{pi}{4}[/tex] = π/4 = 45°
Have a good day.
8 7 12 7 11
10 7 12
Find:
a)the median
b) the range
c)the mode
Answer:
a) Median: 9
b) Range: 5
c) Mode: 7
Step-by-step explanation:
The median is the number in the middle.
First, you put the numbers in order: 7, 7, 7, 8, 10, 11, 12, 12
The middle of this is 8 and 10, so you plus them and divide by to 2, then it gives 9, so the median is 9.
To find the range, you minus the highest number and the lowest number, 12-7=5.
Mode is the most occurring and repetitive number, in this case, 7, because it is written 3 times.
Hope this helps!!!
Answer:
[tex]\boxed{\mathrm {Median = 9}}[/tex]
[tex]\boxed{\mathrm{Range = 5}}[/tex]
[tex]\boxed{\mathrm{Mode = 7}}[/tex]
Step-by-step explanation:
The observations are:
8,7,12,7,11,10,7,12
In ascending order:
=> 7,7,7,8,10,11,12,12
A) Median => Middlemost no.
Median = 8,10
=> [tex]\frac{8+10}{2}[/tex]
=> [tex]\frac{18}{2}[/tex]
Median = 9
B) Range = Highest No. = Lowest No.
RANGE = 12-7
Range = 5
C) Mode => frequently occurring number
Mode = 7
HELP ME PLEASEEEE! Thank you
Answer:
A. Yes
B. Yes
C. No
Step-by-step explanation:
We can substitute each value in to the equation and see if the sides match up. Let's start with a.
[tex]4\cdot(2)-3 = -2\cdot(2)+9\\8-3 = -4+9\\5 = 5[/tex]
So, n = 2 works for equation a. Let's try B.
[tex]9\cdot(\frac{10}{3}) - 19 = 3\cdot(\frac{10}{3}) + 1\\\\\\\frac{90}{3} -19 = \frac{30}{3} + 1 \\ 30 - 19 = 10 + 1\\11 = 11[/tex]
So, m = [tex]\frac{10}{3}[/tex] works for B. Now let's try C.
[tex]3(30+8) = 2\cdot(30)-6\\3(38) = 60-6\\114 \neq 54[/tex]
So y = 30 doesn't work for C.
Hope this helped!
how many unique planes can be determined by four noncoplanar points?
Answer:
Four unique planes
Step-by-step explanation:
Given that the points are non co-planar, triangular planes can be formed by the joining of three points
The points will therefore appear to be at the corners of a triangular pyramid or tetrahedron such that together the four points will form a three dimensional figure bounded by triangular planes
The number of triangular planes that can therefore be formed is given by the combination of four objects taking three at a time as follows;
₄C₃ = 4!/(3!×(4-3)! = 4
Which gives four possible unique planes.
A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the situation? Check all that apply. x = one-half y minus 3 2 x minus y = negative 6 2 x minus y = negative 3 x = one-half (y minus 3) y = 10 (x minus 1)
Answer: x=one-half y minus
Step-by-step explanation:
Answer:
x=1/2 y-3
Step-by-step explanation:
Select the correct answer.
Which of the following represents a function?
Answer:
D.
Step-by-step explanation:
A function is when each x-value has only 1 y-value.
A: When x = 5, there are two values for y.
B: When x = -3, there are two values for y.
C: When x = -4, there are two y-values.
D: Each x-value has exactly one y-value.
So, your answer should be D.
Hope this helps!
Option (D) is accurate since the fourth option's x value has exactly one y value.
D. {(₋7,9), (₋4,₋9), (5,15), (7,19)}
What are functions?
Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.
When we say that a variable quantity y is a function of a variable quantity x, we indicate that y depends on x and that x's value determines what y's value will be. This reliance can be expressed as follows: y = f (x)
Given,
In the first case, y has two different values of 13 and 17, which is not permitted in a function, with the same value of x = 5. The first case is not a function as a result.
For the same value of x = 3 in the second case, y has two different values of 1 and 1, which is not permitted in a function. The second example is therefore not a function.
In the third case, for the same value of x = ₋4, y has two different values of 52 and 16 which is not allowed in a function. Therefore, third case is not a function.
Here, in the fourth situation, no x value is identical and there is only one possible y value.
Hence we get the answer as {(₋7,9), (₋4,₋9), (5,15), (7,19)} which represents the function.
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