Answer:
The volume of cube is 32.7 inches³
Step-by-step explanation:
Given :-
Side of cube is 3.2 inTo Find :-
Volume of cube
Formula Used :-
Volume of cube = ( side)³
Solution :-
To calculate the volume of cube. Simply by applying formula volume of cube. As given in the question that ths side if cube is 3.2 inches.Using Formula
Volume of cube = ( side) ³
Where,
side of cube is 3.2 inchesCalculation being :-
⟼ Volume of cube = ( 3.2 inches) ³
⟼ Volume of cube = 32.768 inches ³
Hence, the volume of cube is 32.768 inches³.
Round nearest hundred = 32.7 inches³.
Please help I’ll give brainliest
Answer:
285.214 cubic meters
Step-by-step explanation:
So I use this equation V=πr2h
All because this equation have a radius and so I put it in this form
V= π5.5^2 x 3
V=285
(I hope this help and if it’s wrong I am truly sorry)
The required volume of the given cylinder is 285.214 cubic meters. Option A is correct.
For a cylinder,
Height = 3m
Radius = 5.5m
Volume = ?
Volume is defined as the ratio of the mass of an object to its density.
Here,
The volume of the cylinder is given as,
Volume = πr²h
Substitute the value in the equation,
Volume = 3.14×5.5²×3
volume = 285.214 cubic meters.
Thus, the required volume of the given cylinder is 285.214 cubic meters. Option A is correct.
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PLS HELP ILL GIVE U BRAINLIST
A vector is 2.5 kilometers per hour at a bearing of of 50° West of North.
Find the magnitude of its vertical component.
lyl = v sin ©
A. lyl = - 1.9
B. lyl = 1.6
C. lyl = 2.5
D. lyl = 50°
B. |y| = 1.6
Step-by-step explanation:A sketch of the vector is attached to this response.
As shown, the vector lies on the second quadrant and its horizontal and vertical components are given by x and y respectively.
Where;
|x| = v cos θ -----------------(i)
|y| = v sin θ -----------------(ii)
and
v = magnitude of the vector = 2.5km/hr
θ = angle that the vector makes with the +x axis = 90° + 50° = 140°
To get the magnitude of the vector's vertical component
Substitute these values into equation(ii) as follows;
|y| = 2.5 sin 140°
|y| = 2.5 x 0.6428
|y| = 1.607
|y| ≅ 1.6 km/hr
Therefore, the vertical component of the vector has a magnitude of 1.6 km/hr.
a.)Would the equation be sine or cosine if the situation was someone being on a roller coaster that starts 15 ft above ground level, goes up to 45 feet above ground level, and goes down 20 feet under ground level?
b.) What would the equation be? ford monition and the terminal is in the third quadrant
For the following set of data, find the percentage of data within 2
population standard deviations of the mean, to the nearest percent.
58, 77, 31, 54, 58, 54, 56, 58, 56
Answer:
58,+77,+31,+54+,58+,54+,46+,58+,56/9
If the value of the mean is 55.78. Then the standard deviation will be 10.98.
What is a standard deviation?It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.
The data set is given below.
58, 77, 31, 54, 58, 54, 56, 58, 56.
Then the mean of the data set will be
Mean = (58 + 77 + 31 + 54 + 58 + 54 + 56 + 58 + 56) / 9
Mean = 502 / 9
Mean = 55.78
Then the standard deviation will be
[tex]\rm SD = \sqrt{\dfrac{(58 - 55.78)^2+(77-55.78)^2 + ..... + (56-55.78)^2 }{9}}\\\\SD = \sqrt { \dfrac{1085.5}{9}}\\[/tex]
On further solving we have
SD = 10.98
If the value of the mean is 55.78. Then the standard deviation will be 10.98.
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the coordinates of three vertices of a rectangle are -2, 3, -2, -1, and 3, -1. what are the coordinates of the fourth vertex
Answer:
(3,-5)
Step-by-step explanation:
We first cal ulate the distance
Solve the inequality for x
3^(6x+18)<27^(3x)
Answer:
[tex]\displaystyle x > 6[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsFactoringAlgebra II
Exponential Rule [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex]Solving exponential equationsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle 3^{6x + 18} < 27^{3x}[/tex]
Step 2: Solve for x
Rewrite: [tex]\displaystyle 3^{6x + 18} < 3^{3(3x)}[/tex]Set: [tex]\displaystyle 6x + 18 < 3(3x)[/tex]Factor: [tex]\displaystyle 3(2x + 6) < 3(3x)[/tex][Division Property of Equality] Divide 3 on both sides: [tex]\displaystyle 2x + 6 < 3x[/tex][Subtraction Property of Equality] Subtract 3x on both sides: [tex]\displaystyle -x + 6 < 0[/tex][Subtraction Property of Equality] Subtract 6 on both sides: [tex]\displaystyle -x < -6[/tex][Division Property of Equality] Divide -1 on both sides: [tex]\displaystyle x > 6[/tex]Answer:
[tex]x>6[/tex]
Step-by-step explanation:
When given the following equation;
[tex]3^(^6^x^+^1^8)<27^(^3^x^)[/tex]
One is asked to solve for ([tex]x[/tex]). The inequality has exponents, hence, it appears daunting at first, however, the easiest way to deal with exponents is to bring them to the same base. This allows for one to have the ability to treat the exponents like an ordinary number. Since ([tex]27=3^3[/tex]) one can rewrite ([tex]27^(^3^x^)[/tex]) as ([tex]3^3^*^(^3^x^)[/tex]). This is possible because raising a number to an exponent when it already has an exponent is the same as multiplying the two exponents. Rewrite the inequality in this format;
[tex]3^(^6^x^+^1^8)<3^3^(^3^x^)[/tex]
Simplify,
[tex]3^(^6^x^+^1^8^)<3^(^9^x^)[/tex]
Since the bases are the same they no longer have any relevance, so one can ignore the bases and only work with the exponents,
[tex]6x+18<9x[/tex]
Now solve this inequality like a normal inequality. Use inverse operations;
[tex]6x+18<9x[/tex]
[tex]18<3x[/tex]
[tex]6<x[/tex]
How can we do this math problem?
Answer:
b) 92
Step-by-step explanation:
1. if according to the condition the triangle is equilateral, then every inside angle (m∠F=m∠G=m∠H) is 60°.
2. it is possible to substitute the value 60 (F=60) into the given equation:
[tex]60=(\frac{Z}{2}+14);[/tex]
3. if to solve the equation above, then Z=92
Question 2 of 10
A rectangle's width is 5 feet less than its length. Write a quadratic function
that expresses the rectangle's area in terms of its length.
O A. A(1) = lw
B. A(1)=12 + 51
C. All) = w(w+5)
O D. All) = 12 - 51
A rectangle's width is 5 feet less than its length. Write a quadratic function
that expresses the rectangle's area in terms of its length.
O A. A(1) = lw
B. A(1)=12 + 51
C. All) = w(w+5)
O D. All) = 12 - 51
plzz help............
Answer:
14. (8,9,10)
15.no(A)
this is the answer
After a 20% discount the phone cost is $70.40. What was the original price?
Answer:
$84.48
Step-by-step explanation:
Multiply the price before discount by 1.2 (100% + 20%) to get 70.40 x 1.2 = 80.48; $80.48
Hope this helps!
:)
plsssss help meeee ....i need the answerrrr
Answer:
20
Step-by-step explanation:
[tex] = \dfrac{ \sqrt[3]{125} \times \sqrt[3]{64} }{ \sqrt[3]{125} - \sqrt[3]{64} } [/tex]
[tex] = \dfrac{5 \times 4}{5 - 4} [/tex]
[tex] = \dfrac{20}{1} [/tex]
[tex] = 20[/tex]
help help help due today
Answer:
sin 52°= AB/x
sin 52°=AB/7.7
AB= 6.06 m
HELP PLEASE I HAVE 15 MINS LEFT
In AABC median AM is drawn from vertex A to BC, BM = 14x and MC = 6x + 56. Determine and
state the value of x.
Answer:
x = 7
Step-by-step explanation:
A median bisects the opposite side length, therefore
14x = 6x+56
8x = 56,
x = 7
Answer:
x = 7
Step-by-step explanation:
given:
AM is the median
BM = 14x
MC = 6x + 5x
since the median is drawn fron vertex A to BC it bisects the BC into two equal halves. So,
14x = 6x + 54
14x - 6x = 54
8x = 54
x = 54/8
x = 7
Given(a*b)*c=a*(b*c) what property does this represent
Answer:
The associative property allows us to change groupings of addition or multiplication and keep the same value. (a+b)+c = a+(b+c) and (a*b)*c = a*(b*c).
Step-by-step explanation:
in mathematics, either of two laws relating to number operations of addition and multiplication, stated symbolically: a + (b + c) = (a + b) + c, and a(bc) = (ab)c; that is, the terms or factors may be associated in any way desired.
Answer:
Associative
Step-by-step explanation:
The price of a technology stock has risen to $9.66 today. Yesterday's price was $9.59. Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answer:
% increase = 100 x [(new price) - (original price)] / (original price)] = 100 (9.67 - 9.56) / 9.56
% increase ≅ 1.2% (to the nearest tenth)
. If XZ = 7x + 1 and PZ = 4x − 1, what is XP? 11
12 19 22
Answer:
XP = 11
Step-by-step explanation:
Given that XZ = 7x + 1 and PZ = 4x − 1
From the diagram, XZ = 2PZ
7x + 1 = 2(4x-1)
7x+1 = 8x - 2
7x - 8x = -2 -1
-x = -3
x = 3
Since XP = PZ
XP = 4x - 1
XP = 4(3) - 1
XP = 12-1
XP = 11
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in second, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of a second
10.17 seconds
hope this helps
Which equation has the least steep graph A. y = 2x + 1 B. y = -7x-2 C. y=-3/4x-9 D. y = 1/4x+6
Answer:
D. y = 1/4x + 6
Step-by-step explanation:
In the linear equation y = mx + b, m is the slope.
A graph will be steeper if it has a larger slope, and less steep if it has a smaller slope.
So, to find which equation has the least steep graph, find which one has the smallest slope.
Out of the 4 equations, the smallest slope is 1/4. Although -7 is the smallest number, it still has a steep slope. The negative sign just makes it go in the other direction.
So, the equation with the least steep graph is D. y = 1/4x + 6
Answer:D
Y= 1/4x +6
Step-by-step explanation:
Which calculation shows the best method for estimating the result of 384 divided by three-sixteenths?
Answer:
the answer to this is 2048
Step-by-step explanation:
Answer: B
Step-by-step explanation: Just round
The points A, B, C and D lie on a circle centre O.
Angle AOB = 90° angle COD= 50° and angle BCD= 1239
The line DT is a tangent to the circle at D.
Find
(a) angle OCD
The measure of angle OCD from the given figure is 58°.
Given that, the points A, B, C and D lie on a circle Centre O.
What is the circle?A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.
Here, OC and OB are radius of a circle, then BOC is isosceles triangle
Now, ∠BOC+∠OBC+∠OCB=180°
50°+∠OBC+∠OBC=180°
⇒ 2∠OBC=130°
⇒ ∠OBC=65°
Here, ∠OCD=∠BCD-65°
⇒ x=123-65=58°
Hence, the measure of angle OCD from the given figure is 58°.
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find the value of x and y, (3x - 2y, 7) = (11, x + y)
Answer:
Step-by-step explanation:
Given,(3x-2y,7)=(11,x+y)
So,3x-2y=11...............(i)
7=x+y
or,x+y=7................(ii)
Now,Multiplying eqn.(ii) by 2,we get,
2x+2y=14...........(iii)
Adding eqn(i) and eqn(iii),
3x-2y+2x+2y=11+14
or,5x=25
or,x=5
Substituting value of x in eqn(i),
5+y=7
or,y=2
Hence,the values of x and y are 5 and 2 respectively.
75 mm
a
60 mm
What is the length of the missing leg?
Answer:
a = 45 millimeters
Step-by-step explanation:
In order to solve this, we need to know that for right-angled triangles the following is true:
[tex]c^{2} = a^{2} + b^{2}[/tex] (where c is the hypotenuse and "a" and "b" are the legs)
From the formula above we can conlude that...
[tex]a = \sqrt{c^{2} - b^{2} }[/tex]
Now we just substitute the variable that we know and get that...
[tex]a = \sqrt{c^{2} - b^{2} }\\a = \sqrt{75^{2} - 60^{2} } \\a = \sqrt{5,625 - 3600} \\a = \sqrt{2025} \\a = 45[/tex]
Therefore a = 45millimeters.
A partial listing of monthly startup costs for a store includes $2,750 for rent, $479 for electricity, $217 for telephone and Internet service, $9,423 for employee salaries, $250 for cleaning service, and $100 for supplies. What percent of your monthly startup cost is rent?
Answer:
I think it is 20.8%
Step-by-step explanation:
The percentage of rent in the monthly startup cost is 20.8%
What is percentage?A part of a whole expressed in hundredths. In percentage we equate the total with hundred and find the sum.
The formula of percentage is (Y/X)×100 = P%, where "X" is total , "Y" is the individual number of which we want to find the percentage and "P" is the percentage value.
According to the formula,
X ⇒ $2,750 + $479 + $217 + $9,423 + $250 + $100 = $13,219
Y = $2,750
P = (Y/X)×100
2750/13219 =0.20803
0.20803×100=20.80%
Thus the percentage of the rent in the total monthly startup cost is 20.80%
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A line passed through the point (8,5) and has a slope of 2. Write an equation for this line
Answer:
y = 2x -11
Step-by-step explanation:
The equation of a line that passes through point x1, y1 is given as
y - y1 = m (x - x1)
where m is the slope of the line
Given that the line passes through the point (8,5) and has a slope of 2, the equation of the line
y - 5 = 2 (x - 8)
y - 5 = 2x - 16
add 5 to both sides
y = 2x - 16 + 5
y = 2x -11
Encik Basra’s age is four times his child’s age. 4 years ago, Encik Basri’s age is six times his child age. Find the age of Encik Basri’s child now.
Answer:
4 + 6 = 10 * 4 =40
Step-by-step explanation:
sana makatulong
His child is 10 years old.
What is algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
Given
Assume now his child's age is x
4x-4 = 6(x-4)
4x-4 = 6x - 24
-4+24 = 6x-4x
20 = 2x
x=10
His child is 10 years old.
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La fórmula correcta para encontrar el valor del coseno de un ángulo agudo en un triángulo rectángulo dado es:
Answer:
El coseno del ángulo esta dado por:
[tex]cos(\theta)=\frac{CA}{H}[/tex]
Step-by-step explanation:
Si tenemos un triángulo recatángulo, el coseno del ángulo está dado por:
[tex]cos(\theta)=\frac{CA}{H}[/tex]
Donde:
CA es el cateto adyacenteH es la hipotenusa del triánguloEspero te haya sido de ayuda!
What percent is represented by the shaded area?
Determina la masa molar y el volumen que ocupa la siguiente sustancia CO2, si su masa es de 28 gr. *
Answer:
Para el CO₂ sabemos que:
densidad = 0,001976 g/cm³
Sabemos que:
densidad = masa/volumen
Entonces, si tenemos una masa de 28 g, podemos escribir:
volumen = masa/densidad
volumen = (28g)/(0,001976 g/cm³) = 14,170 cm^3
Para obtener la masa molar (es decir, la masa de un mol de esta sustancia) simplemente sumamos la masa de un mol de cada componente.
Carbono: tiene una masa molar de 12 g/mol
Oxígeno: tiene una masa molar de 16 g/mol (y tenemos dos oxígenos)
entonces la masa molar va a ser:
masa molar = 12g/mol + 2*16g/mol = 44 g/mol
Es decir, un mol de CO₂, pesa 44 gramos.
Please help I need help
Answer:
2 1/3
Step-by-step explanation:
Diane has $814 in her checking account. If she writes five checks for a total of $287, how much does she have left
in her account?
Answer:
$527
Step-by-step explanation:
Find how much she has left by subtracting 287 from 814:
814 - 287
= 527
So, she has $527 left in her account