Answer:
[tex]50 N[/tex]
Step-by-step explanation:
To help us find our answer, we need to use Newton's Second law
[tex]F = m \times a[/tex]
Where F is the force (N), m is the mass (Kg) and a is the acceleration (m/s^2, on a planet this would just be the gravity)
So if we know that a person has a mass of 3Kg and weighs 30N, the acceleration (or the gravity on that planet is)
[tex]30 = 3 \times a\\a = 10 m/s^2[/tex]
Now that we know the acceleration we can easily find the weight of the person.
[tex]F = 5 * 10 = 50 N[/tex]
The square pyramids are similar. Find the volume of the smaller pyramid. Round your answer to the nearest hundredth.
A. 3.70 yd
B. 3.90 yd
C. 4.21 yd
D. 4.68 yd
Answer:
A
Step-by-step explanation:
Since the pyramids are similar, the scale factor will be 3. So the height of the small pyramid is 6.3/3=2.1. The volume will be (1/3)*(2.1)*(2.3)^2=3.70
The volume of smaller square pyramid is 3.703 cubic yards. Therefore, option A is the correct answer.
What are similar figures?Similar figures mean when two figures are of the same shape but are of different sizes. In other words, two figures are called similar when they both have a lot of the same properties but still may not be identical.
Given that, the two square pyramids are similar.
Let the height of smaller square pyramid be h.
As we know, when two geometrical figures are similar, their sides will be in proportion.
Now, 6.9/2.3 = 6.3/h
3=6.3/h
h=2.1 yd
The volume of square based pyramid =a²h/3.
Thus, volume = (2.3²×2.1)/3
= 11.109/3
= 3.703 cubic yards
Therefore, option A is the correct answer.
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A fish tank is in the shape of an open glass cuboid 30 cm deep with a base 16 cm by 17 cm, these measurements being external. If the glass is 0.5 cm thick and its mass is 3 g/cm3, find a the capacity of the tank in litres, and the mass of the tank in kg.
Answer:
3.24 kg
Step-by-step explanation:
internal Vol = (30-0.5)(16-1)(17-1) = 7080 cm^3 = 7.08ltrs
external Vol= 30* 16* 17 = 8160cm^3 = 8.16ltrs
Vol of thickness = 8160 - 7080 = 1080cm^3
Mass of the tank= density * volume = 3*1080 = 3,240g = 3.24 kg
One of the angles of a triangle is 110° and the other two angles are equal.What is the measure of each of these equal angles?
Answer:
x = 35
Step-by-step explanation:
Let x be the one of the other angles
X is also the third angle since we know they are equal
The sum of the angles of a triangle is 180
110+x+x = 180
110 +2x= 180
2x = 180-110
2x= 70
Divide by 2
2x/2 = 70/2
x = 35
Answer:
[tex]x = 35 \degree[/tex]
Step-by-step explanation:
Let the unknown angle be x
Unknown Angles are equal to each other so,
[tex]x + x + 110 = 180[/tex]
sum of the interior angles in a triangle is 180°
[tex]2x + 110 = 180 \\ 2x = 180 - 110 \\ 2x = 70 \\ \frac{2x}{2} = \frac{70}{2} \\ x = 35 \degree[/tex]
What is 12% and 22% of 600 added together?
Answer:
204
Step-by-step explanation:
600 * .12 = 72
600 * .22 = 132
72 + 132 = 204
Have a great day!
if f(x)=3(x+5)+4/x, what is f(a+2)
black pencils cost 75 naira each and colour pencils cost 105 naira each if 24 mixed pencils cost 2010 naira how many of them were black hint let there be x black pencils thus there are (24-x) coloured pencils.
Answer:
number of black pencils is 17
James walks to a coordinate of (4, 5) and then to (1, 2) which joins the two coordinate in a straight line.Find the: (i) Gradient (m) of the line joining the two points. (ii) Equation of the line joining the two points.
Answer:
gradient = slope = 1
Y =1X +1 is the equation
Step-by-step explanation:
x1 y1 x2 y2
4 5 1 2
(Y2-Y1) (2)-(5)= -3 ΔY -3
(X2-X1) (1)-(4)= -3 ΔX -3
slope= 1
B= 1
Y =1X +1
Which of the following is true about the sequence graphed below? (and Why)
Options:
• The sequence is arithmetic because the terms have a common difference.
• The sequence is arithmetic because the terms do not have a common difference.
• The sequence is not arithmetic because the terms have a common difference.
• The sequence is not arithmetic because the terms do not have a common difference.
Answer:
Step-by-step explanation:
a₂ = 9
a₃ = a₂-1.5
a₄ = a₃-1.5
a₅ = a₄-1.5
etc.
The terms have a common difference of -1.5, so the sequence is arithmetic.
Answer:
Step-by-step explanation:
The common difference is a y-thing. It looks like the difference in the y-values of each of these points is -1.5. That means that this is an arithmetic sequence because the common difference is consistently -1.5. In fact, the whole equation can be determined to be
[tex]a_n=-1.5n+12[/tex]
I need the answer to this
Answer:
C
Step-by-step explanation:
it is rewritten in the form of 60/(2^x)
Question 5 of 41
Which of the following best describes the volume of a solid?
A. It is the sum of the base area plus the lateral area of the solid.
B. It is the amount of three-dimensional space inside the solid.
C. It is the distance around the base of the figure.
D. It is the total area of the exterior surface of the solid.
SUBMIT
B. It is the amount of three-dimensional space inside the solid.
What is volume?Volume, measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.
The volume of a solid is the measure of the amount of three-dimensional space that is occupied by the solid.
It is a measure of the physical space that the solid occupies in three-dimensional space. It is different from the surface area or perimeter of a solid which measure the amount of space that is taken up by the solid in two dimensions.
In summary, the volume of a solid refers to the amount of three-dimensional space that is enclosed by the solid, and it is an important measurement in many fields including engineering, architecture, and physics.
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Emile wants to lay a garden around his restaurant. The restaurant is in the shape of a square with side length of 15 feet. What is the length of the garden required?
Answer: [tex]60\ ft[/tex]
Step-by-step explanation:
Given
Side length of square shape [tex]a=15\ ft[/tex]
Length of the garden is equal to the perimeter of the square i.e. 4 times the side length
[tex]\Rightarrow \text{Lenght L= }4a\\\Rightarrow L=4\times 15\\\Rightarrow L=60\ ft[/tex]
Thus, the length of the require garden is [tex]60\ ft[/tex]
can somene explain this to me please?
Answer:
10/3
Step-by-step explanation:
rate of change = gradient
(17-7)/(6-3) = 10/3
basically difference of y values / difference of x values
the circumference of a circle is 11pi ft. find its diameter, in feet
Answer:
The diameter would be 11 feet
Step-by-step explanation:
C = pi * d
we don't know D so we rearrange the equation to solve for D by dividing both sides by pi:
C/pi = d
Now we plug in everything
11pi/pi = d
The pi cancel each other out leaving with 11 feet
Therefore D = 11 feet
A bus uses 50 liters of petrolfor 1-000 km of journey' t3l Find the amount of petrol needed for 400 km journey'
Answer:
hijjijkkkmmkmjjjjjjjjjijjji
PLEASE HELP WILL GIVE BRAILNLIEST! Find the value of x
Answer:
x = 14.63
Step-by-step explanation:
What is the slope of a trend line that passes through the points (1, 3) and (10, 25)?
Negative StartFraction 15 Over 2 EndFraction
Negative one-half
StartFraction 22 Over 9 EndFraction
StartFraction 24 Over 7 EndFraction
Answer:
[tex]\displaystyle m = \frac{22}{9}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (1, 3)
Point (10, 25)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{25 - 3}{10 - 1}[/tex]Subtract: [tex]\displaystyle m = \frac{22}{9}[/tex]Answer:
c
Step-by-step explanation:
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
is it a,b,c or d?
Answer:
5
5 1/2
6 1/2
Step-by-step explanation:
Let n=1
a1 = 5+(1-1)*(1/6)
a1 = 5
Let n=4
a4 = 5+(4-1)*(1/6)
a4 = 5 +3(1/6)
a4 = 5+1/2 = 5 1/2
Let n=10
a10 = 5+(10-1)*(1/6)
a10 = 5 +9(1/6)
a4 = 5+3/2 = 5 + 1 1/2 = 6 1/2
Given f(x) = - 3/4x + 2, find f(16).
Answer:
-10
Step-by-step explanation:
The teacher's helper was putting cookies onto plates. He put 1 cookie on the first plate, 4 cookies on the second plate, 16 cookies on the third plate, and 64 cookies on the fourth plate. What kind of sequence is this?
Answer:
Geometric sequence
Step-by-step explanation:
A geometric sequence involves each number after the first one being multiplied by a specific number, called the common ratio.
This situation is a geometric sequence, where the common ratio is 4.
For example, there are 4 cookies on the second plate, 16 on the third, and 64 on the fourth. To get each number, the previous number is multiplied by 4.
So, this is a geometric sequence.
If he placed one cookie on the first dish, four on the second, sixteen on the third, and sixty-four on the fourth. A geometric sequence is a type of sequence.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity,
It is given that the educator placed one cookie on the first dish, four cookies on the second, sixteen cookies on the third, and sixty-four cookies on the fourth.
Each number following the first in a geometric sequence is multiplied by a particular number, known as the common ratio. The common ratio in this situation, which is a geometric sequence, is 4.
The second dish, for instance, has four cookies, the third, sixteen, and the fourth, sixty-four. Each number is obtained by multiplying the preceding number by four.
Thus, if he placed one cookie on the first dish, four on the second, sixteen on the third, and sixty-four on the fourth. A geometric sequence is a type of sequence.
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x+x+y+y+z+z=24
b+x+x+y+z=21
b+b+y+y=28
x+x+x+y+z=23
ASAP PLEASE
what numbers do the variables stand for
all x’s have the same numbers
all b’s have the same numbers
all y’s have the same numbers
all z’s have the same numbers
Answer:
b = 7/2
x = 11/2
y = 21/2
z = -4
Step-by-step explanation:
2x + 2y + 2z = 24
x + y + z = 12
b + 2x + y + z = 21
2b + 2y = 28
b + y = 14
3x + y + z = 23
we can start anywhere by transforming these equations in a way that always one variable is excised by others.
so, e.g.
b = 14 - y
14 - y + 2x + y + z = 21
2x + z = 7
z = 7 - 2x
3x + y + 7 - 2x = 23
x + y = 16
16 + z = 12
z = -4
-4 = 7 - 2x
-11 = -2x
11 = 2x
x = 11/2
11/2 + y = 16
y = 16 - 11/2 = 32/2 - 11/2 = 21/2
b = 14 - 21/2 = 28/2 - 21/2 = 7/2
What does z represent
Answer:
not sure what your asking.... is there a file you can submit?
Step-by-step explanation:
Un alambre de longitud x s3. E dobla en forma de cuadrado exprese su área en términos de la ingitud x
Respuesta:
A = 1/16 × x²
Explicación paso a paso:
Un alambre de longitud x se dobla en forma de cuadrado. Como un cuadrado tiene 4 lados iguales la longitud de cada lado (l) será:
l = 1/4 × x
Para calcular el área de un cuadrado (A) usaremos la siguiente fórmula.
A = l²
A = (1/4 × x)²
A = 1/16 × x²
[tex]\frac{\sqrt{x} +1}{x-\sqrt{x} +1}[/tex] Với x≥0. Tìm GTLN
Answer:
Step-by-step explanation:
[tex]\frac{\sqrt{x}+1 }{x-\sqrt{x}+1 }=\frac{\sqrt{x}+1}{(x+1)-\sqrt{x}}\\\\=\frac{(\sqrt{x}+1)([x+1]+\sqrt{x})}{([x+1]-\sqrt{x})+([x+1)+\sqrt{x}])}\\\\=\frac{\sqrt{x}*x+\sqrt{x}*1+\sqrt{x}*\sqrt{x}+1*x+1*1+1*\sqrt{x}}{(x+1)^{2}-(\sqrt{x})^{2}}\\\\\\=\frac{x\sqrt{x}+\sqrt{x}+x+1+x+\sqrt{x}}{x^{2}+2x+1-x}\\\\=\frac{x\sqrt{x}+2\sqrt{x}+2x+1}{x^{2}+x+1}\\\\[/tex]
Simplify the square root of –75
Answer:
5 i √ 3
Step-by-step explanation:
find the missing side
Answer:
x ≈ 14.7
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan73° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{48}{x}[/tex] ( multiply both sides by x )
x × tan73° = 48 ( divide both sides by tan73° )
x = [tex]\frac{48}{tan73}[/tex] ≈ 14.7 ( to the nearest tenth )
If there are 3 people splitting a paycheck of 89 how much would each have to pay
Answer:
Around 29.67 each.
Step-by-step explanation:
The bill is being split amongst 3 people. Therefore, we must divide the total price by 3:
[tex]\frac{89}{3}[/tex]
=29.66666667
=29.67
Answer:
3÷89 it would be 36.55 each has to pay on bills
What is the value of y?
A. 55°
B. 850
C. 10°
D. 110°
Which term of the AP. 8 , -4 , -16 , -28 ,......... is -880 ?
Answer: 75th term
Step-by-step explanation:
If you look at the first terms, you can see that we're subtracting 12 from the previous term to get the number. Knowing this, we can write an expression for the nth term. The expression would be -12n + 20. Since this specific term has value of -880, we set -880 equal to the value of -12n+20. By setting your equation like this -12n + 20 = -880 and solving, you get n = 75, which means the 75th term has a value of -880.
Solve the equation.
8-2x = -8x + 14
O x=-1
Ox=-3/5
Ox= 3/5
Ox=1
The solution to the algebraic equation is x = 1. The last option is correct.
How do we solve a linear algebraic equation?The solution to a linear algebraic equation can be achieved by finding the like terms and equating them to the constant variable.
From the given information:
8 - 2x = -8x + 14
Collecting the like terms, we have:-2x + 8x = 14 - 8
6x = 6
Divide both sides by 6, we have:x = 1
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3+3+3+3+3+3+3+333333
Answer:
333354
Step-by-step explanation:
Simplify the expression.
Answer:
333,354
Step-by-step explanation:
First, we add the 3's. And get 21.
333,333 + 21 = 333,354
