Answer:
4cm, 5cm, 12cm or 3cm, 8cm, 10cm
Step-by-step explanation:
what are three possible dimensions of a rectangular prism with a volume of 240cm³
The formula for the volume of a rectangular prism is given as:
Length × Width × Height
Step 1
We have to find the factors of 240
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120 and 240.
From these factors we can find the possible dimensions of the Rectangular prism
They are:
4cm, 5cm, 12cm
Where:
Length = 4cm, Height = 5cm, Width = 12 cm
or
3cm, 8cm, 10cm
Length = 3cm, Height = 8cm, Width = 10 cm
use the cross products property to solve the proportion 10/7 equals 8 / K what does k equal
Answer:
5.600
Step-by-step explanation:
The angles of a trapezium are x, 2x, 3x
and 4x. Calculate the value of the second
smallest angle.
What is the relationship between circle A and circle B? part j
[Links will be reported]
Answer:
A. 1
B. 7
C. 2
D. 10
,,,,,,,,,,
I NEED THE ANSWER PLFAST PLEASE
Answer:
h
Step-by-step explanation:
multiplication and inference
What is the radius of a sphere with a volume of 32398 cm, to the nearest tenth of a
centimeter?
Answer:
21.1cm
Step-by-step explanation:
Hello :)
The volume of a sphere can be found by this equation:
[tex]V=\frac{4}{3} \pi r^3[/tex] where V stands for volume and r stands for the radius in the sphere.
Since the volume is actually given to us and we need to find the radius, we can substitute in the numbers we know, and isolate the variable we are trying to find so we can get a concise answer.
[tex]V=\frac{4}{3} \pi r^3[/tex]
[tex]32398=\frac{4}{3} \pi r^3[/tex]
Now, let's isolate the r variable by dividing 4/3 and pi to the other side.
[tex]\frac{32398}{\frac{4}{3}\pi } =r^3[/tex]
We can get rid of the exponent by square rooting by 3.
[tex]\sqrt[3]{\frac{32398}{\frac{4}{3}\pi}} =r[/tex]
If we plug this into the calculator, the r=21.1
Which means the radius of the sphere is 21.1 cm.
Answer:
21.1 CM
[tex] \: \: \: \: \: \: \: [/tex]
The area of a rectangle is 20 square units and its length is 5 centimeters. Find its perimeter
Answer:
18 centimeters.
Step-by-step explanation:
Since you already know the length (height) divide 20 by 5 = 4.
This gives you the width (4), add up all the sides ( 4 + 4 + 5 + 5).
The sum comes out to be 18.
The sides of a rectangle are in the ratio 2:5. If the longer side of the rectangle is 25.5
in., what are its width, perimeter, and area?
Plz help
Answer: The width is 10.2 inches, the perimeter is 71.4, the area is 260.1.
Step-by-step explanation: So first i divided 25.5/5 which equals 5.1. The ratio is 2:5 so I know that i have to multiply 5.1x2 which is 10.2, thats how you get the width. The perimeter I just did 25.5+25.5+10.2+10.2 =71.4. For the area I just multiplied 25.5x10.2=260.1.
The width of the rectangle is 10.2 inches.
The perimeter of the recatngle is 71.4 inches.
The area of the rectangle is 260.1 square inches.
What is the perimeter of rectangle?The perimeter of rectangle is given by;
[tex]\rm Perimeter \ of \ rectangle=2 (Length + width)[/tex]
The sides of a rectangle are in the ratio 2:5.
If the longer side of the rectangle is 25.5.
The shortest side of the rectangle is;
[tex]=\dfrac{25.5}{5}\\\\=5.1 \rm \ inches[/tex]
The width of the rectangle is;
[tex]\rm Width=2\times 5.1\\\\Width =10.2[/tex]
The width of the rectangle is 10.2 inches.
The perimeter of the recatngle is;
[tex]\rm Perimeter \ of \ rectangle=2 (Length + width)\\\\\rm Perimeter \ of \ rectangle=2 (25.5+10.2)\\\\\rm Perimeter \ of \ rectangle=2 \times 35.7\\\\\rm Perimeter \ of \ rectangle=71.4 \ inches[/tex]
The perimeter of the recatngle is 71.4 inches.
The area of the rectangle is;
[tex]\rm Area=length \times width\\\\Area=25.5\times 10.2\\\\Area=260.1 \ square \ inches[/tex]
The area of the rectangle is 260.1 square inches.
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Solve for k kk. k − 7 8 = 5 2
Answer:
k = 59.8
Step-by-step explanation:
Given
k - 7.8 = 52 ( isolate k by adding 7.8 to both sides )
k = 59.8
The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in hours, and y is the number of bacteria.Write an exponential regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, determine the number of bacteria present after 16 hours, to the nearest whole number.
Answer:
Step-by-step explanation:
I really hope you know how to use your calculator to find regression equations, because in this forum it is impossible to teach you how to do that. I ran the data through my calculator and got the exponential equation as
[tex]y=1963.56(1.14)^x[/tex] which means at 4 hours, we started with 1963 bacteria and it is growing at a rate of 114% each hour. Since we started out with an x value of 0, and that value represents the number of bacteria after 4 hours, then time 0 is 4 hours, which means that time 12 is 16 hours. We replace the x in the equation with a 12 and do the math:
[tex]y=1963.56(1.14)^{12[/tex] which gives us, in the end,
y = 9460
The exponential regression equation is given by y = 304(1.072)ˣ and the number of bacteria present after 12 hours would be 700.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
here, we have,
Let y represent the number of bacteria after x hours.
When x = 0, y= 304, hence:
304 = ab⁰
a = 304
When x = 1, y= 326, hence:
326 = (304)b¹
b = 1.072
The exponential regression equation is given by y = 304(1.072)ˣ.
When x = 12:
y = 304(1.072)¹² = 700
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What is the area of this shape? Must use 3.14 as an approximation for pi :>
Let's split this up into two shapes: a half-circle and a triangle.
First, we'll find the area of the half-circle. The formula for the area of a circle is: A = 3.14 * r^2. Therefore, the area of a half circle will be: A = 1/2 * 3.14 * r^2. Using our new formula, let's plug in what we know and solve.
A = 1/2 * 3.14 * 8^2
A = 1/2 * 3.14 * 64
A = 3.14 * 32
A = 100.48 m^2
Next, let's find the area of the triangle. The formula for the area of a triangle is: A = 1/2 * base * height. Using our formula, let's plug in what we know and solve.
A = 1/2 * 12 * 8
A = 6 * 8
A = 48 m^2
Finally, we need to add the area of the half-circle and the area of the triangle to find the area of the shape.
100.48 + 48
148.48 m^2
Hope this helps!! :)
Step-by-step explanation:
area of the triangle
you know the height is 8 bc the radius of the circle is 8[tex] \frac{1}{2} (12)(8) \\ \frac{1}{2} (96) \\ 48[/tex]
area of the half circle
[tex] \frac{1}{2} \pi {(8)}^{2} \\ \frac{1}{2} (3.14)(64) \\ \frac{1}{2} 200.96 \\ 100.48[/tex]
area of entire shape
[tex]48 + 100.48 \\ 148.48 {m}^{2} [/tex]
Find m
A. 20
B. 16
C. 17
D. 18
Answer: Choice C) 17 degrees
=============================================================
Work Shown:
Apply the law of cosines
c^2 = a^2 + b^2 - 2*a*b*cos(C)
12^2 = 28^2 + 18^2 - 2*28*18*cos(C)
144 = 1108 - 1008cos(C)
144+1008cos(C) = 1108
1008cos(C) = 1108-144
1008cos(C) = 964
cos(C) = 964/1008
C = arccos(964/1008)
C = 16.991286936969 which is approximate
C = 17 degrees
Note: arccos is the same as inverse cosine.
What is the Domain and Range of f(t)?
Answer: Hm 1 second
Step-by-step explanation: 1 sec
3x+9y=12
-3x-6y=18
Solve the system by using elimination
Answer: (x, y) = (-26, 10)
This means x = -26 and y = 10 pair up together
===============================================================
How to get that answer:
Add the equations straight down. Think of having 3 separate columns for the three different like terms.
3x + (-3x) becomes 0x and that's just 0. So the x terms go away9y + (-6y) is the same as 9y-6y which turns into 3y12 + 18 becomes 30After all that, we're left with the simpler equation 3y = 30. That solves to y = 10 after dividing both sides by 3.
Plug this back into any equation involving x and y. Solve for x
3x+9y = 12
3x+9(10) = 12
3x+90 = 12
3x = 12-90
3x = -78
x = -78/3
x = -26
We have found that x = -26 and y = 10 pair up together to form the solution.
-------------------
Checking the answer:
Plug (x,y) = (-26, 10) into the first equation
3x+9y = 12
3(-26)+9(10) = 12
-78+90 = 12
12 = 12
We get a true equation since the same thing is on both sides.
Repeat the same idea for the second equation
-3x-6y = 18
-3(-26) - 6(10) = 18
78 - 60 = 18
18 = 18
The second equation is true as well.
Both equations are true, so the solution (x, y) = (-26, 10) is confirmed.
Answer:
-26, 10
Step-by-step explanation:
See the steps below:)
I'm not sure how to do the laws of exponents so explain pls
Answer:
2^6/2^0(2.2)³2^10/2^4(2^4)²hope it helps.
Aeg = 10 solve for g
What is the greatest common factor of 42, 6, and 48?
Answer:
6
hope it is helpful to you
What is the length of the hypotenuse?
12
5
X=
Help
Answer:
x = 13
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + 12^2 = x^2
25+144 = x^2
169 = x^2
Taking the square root of each side
sqrt(169) = sqrt(x^2)
13 =x
Answer:
13
Step-by-step explanation:
[tex] \sqrt{5^{2} + 12^{2}} = \sqrt{169} \\ \\ \sqrt{169} = 13[/tex]
a²+b²=c²
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 3 2 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall
Answer:
dα/dt = - 0,25 rad/sec
Step-by-step explanation:
The vertical wall, the ground from the vertical wall up to the ladder, and the ladder shape a right triangle. angle α will be the angle between the ladder and the ground, then:
cos α = distance between the wall and the down end of the ladder (x) / length of the ladder
cos α = x/ L
- sin α * dα/dt = dx/dt * L /L²
- sin α * dα/dt = dx/dt /L
When the down end of the ladder is 8 ft apart from the wall
cos α = 8 / 10 = 0,8 then cos² α + sin²α = 1
sin² α = 1 - cos²α sin²α = 1 - (0.8)² sin²α = 0.36
sin α = 0.6
dα/dt = ?
dx/ dt = 3/2
L = 10 ft
x = 8 ft
By substitution
- 0.6*dα / dt = (3/2) / 10
dα/dt = - 1.5 / 6
dα/dt = - 0,25 rad/sec
(-) means the angle is decreasing
Which correctly describes the net of a square pyramid?
two squares, three triangles
one squares, three triangles
one square, four triangles
two squares, four triangles
Answer:
one square, four triangles
Step-by-step explanation:
It's a pyramid, so there's only 1 base.
A square has 4 faces, so to build up the pyramid from its base, we need 4 triangles to stick with the square base and to form a sharp vertex.
Question
Which of the following is equivalent to x2 – 5x + 6?
o (x - 2)(- 3)
o (x - 2)(x+3)
o (x+6)(x - 1)
o (x-6)(x + 1)
Answer:
Option one (x-2)(x-3)
Step-by-step explanation:
We have x²-5x+6 =0
X²-3x-2x+6=0
X(x-3)-2(x-3)=0
(x-2)(x-3)=0
Evaluate 150 – (2 + x) when x = 2.
The value of the expression is
The value of the expression is 86.
To evaluate the given expression, we need to simply put the given value of x in the mentioned expression. Subsequently, further operations will be performed based on the sequence in order of operators.
Value = 150 - (2 + x)³
Keep the value of x in the mentioned expression
Value = 150 - (2 + 2)³
Performing addition inside the bracket to find the value
Value = 150 - 4³
Taking cube on Right Hand Side of the equation
Value = 150 - 64
Performing subtraction to find the value of equation
Value = 86
Hence, the evaluation will give the result 86.
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Points F and G are located at (3, 2) and (-2,2) on a coordinate plane.
What is the distance between the two points?
Answer
5
Step-by-step explanation:
Formula for distance between two points:
d = [tex]\sqrt{(x_{2} - x_{1} )^{2} + (y_{2} - y_{1} )^{2} }[/tex]
d = [tex]\sqrt{(-2-3)^{2} + (2-2)^{2} }[/tex]
d = 5
Beth can buy T-shirts in packs of 5 for $5.55 or in packs of 2 for $4.82. How much money does she save by buying 40 T-shirts at a better price?
Answer:
$52
Step-by-step explanation:
Given data
Beth can buy T-shirts in packs of 5 for $5.55
Cost per shirt
=5.55/5
=$1.11
To buy 40 shirt
=1.11*40
=$44.4
In packs of 2 for $4.82
cost per shirt
=4.82/2
=$2.41
To buy 40 shirt
=2.41*40
=$96.4
Hence the best buy in packs of 5 for $5.55
and the cost per shirt is $1.11
He will save
=96.4-44.4
=$52
What is the volume of the sphere shown below?
5 in.
Answer:
...
Step-by-step explanation:
523.598 round it if u want
mariah found a flat iron originally priced at $80 on sale for $60 by what pecentage was the price reduced
Answer:
25%
Step-by-step explanation:
25% us the answer. First: work out the difference (decrease) between the two numbers you are comparing.
Decrease = Original Number - New Number
Then: divide the decrease by the original number and multiply the answer by 100.
there are three questions I am giving 15 points
To approach the runway, a pilot of a small plane must begin a 5 degree descent starting from a height of 1266 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach?
Answer:
2.8 miles
Step-by-step explanation:
From the attached sketch of the solution diagram, let x = distance of plane from runway :
The sketch gives a right angled triangle ; hence, we can apply trigonometry :
To obtain x :
Sin θ = opposite / hypotenus
Sin 5 = 1266 / x
0.0871557 * x = 1266
x = 1266 / 0.0871557
x = 14525.720 feets
Converting feets to mile :
1 mile = 5280 feets
14525.720 feets = 14525.720 / 5280
2.751 miles
To the nearest tenth of a mile ; 2.8 miles
Find the value of ( 2x + 10
Answer:
Solution given:
x+x+10°+40°+2x+10=360[complete turn]
4x+60°=360
4x=360-60
x=300/4=75
now
2x+10=2×75+10=160° is your answer
please show workings on how to do it :)
Answer:
here
Step-by-step explanation:
ratio:
1x, 3x, 5x=180
9x=180
x=180/9
x=20
forgot to mention 1x=cement
3x=sand and 5x=gravel.
I only know first part of the question.
Answer:
Let the ratio be x,3x,5x
then,
or,x+3x+5x=180kg
or,9x=180
or,x=180/9
or,x=20kg
now,3x=3*20
=60kg
5x=5*20
=100 kg
therefore he doesn't have enough cement and sand but he has enough gravel.