Answer:
I think is the same formula area .A triangle is half as big as the rectangle that surrounds it, which is why the area of a triangle is one-half base times height.
Step-by-step explanation:
The area of a rectangle is given by the relation length* width. The area of a triangle is given by the relation (1/2)*base* height. Now we know that the two have the same area equal to 150 cm^2. Also, when placed on the same level the tip of the triangle touches the upper edge of the rectangle.
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 22 feet and a height of 12 feet. Container B has a diameter of 18 feet and a height of 19 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.
Answer:
a) 4561.59 ft^3
b) 17.93 ft
Step-by-step explanation:
Given:-
- Container A and B are of cylindrical shape
- The diameter of container A, da = 22 ft
- The height of container A, ha = 12 ft
- The diameter of container B, db = 18 ft
- The height of container B, hb = 19 ft
- Container A is initially full while container B is empty.
- Water is pumped from container A to container B until container A is empty.
Find:-
a) The volume of water in container B
b) The level of water in container B
Solution:-
- The cylinder is initially full to the top. The volume of the water in container A takes the shape of container A. The volume of a cylindrical container is mathematically expressed as function of diameter and height, as follows:
[tex]V = \pi \frac{d^2}{4}*h[/tex]
- The volume of water in container A of diameter ( da ) and height ( ha ):
[tex]V_a = \pi \frac{d_a^2}{4}*h_a\\\\V_a= \pi \frac{22^2}{4}*12\\\\V_a = 4561.59253 ft^3[/tex]
- We are given that the water is pumped from the container A to B until all the water ( Volume ) is emptied from container A:
- The total amount of water available in container A, is V_a is all pumped into container B. Therefore, after the process of pumping container B will have the volume of water equivalent to the volume of water in container A before the pumping process started ( assuming no loss of water ):
[tex]V_b = V_a = 4561.59253 ft^3[/tex] .. Answer ( a )
- The volume of water contained in container also takes the shape of cylinder and can be expressed as:
[tex]V_b = \pi \frac{d_b^2}{4}*h\\\\h= \frac{4*V_b}{\pi*d_b^2 }\\\\h = \frac{4*4561.59253}{\pi*18^2 } \\\\ h = 17.926 ft[/tex]
Answer: The level of water in container B is h = 17.93 ft
A graph shows the horizontal axis numbered 2 to 8 and the vertical axis numbered 10 to 50. A line increases from 0 to 4 then decreases from 4 to 9. Which type of function best models the data shown on
Answer:
quadratic
Step-by-step explanation:
The Quadratic function is the best models for the given graph.
What is quadratic function?A quadratic function is a "polynomial function with one or more variable in which highest exponent of variable is two".
According to the question,
Horizontal axis or x-axis quadratic function of numbered 2-8 and vertical axis or y-axis quadratic function numbered to 10-50.
In order to find the best models function is quadratic function.
f(x) = ax²+bx+c a < 0
Domain = All real numbers
Range y ≤ f(-[tex]\frac{b}{2a}[/tex])
Increases on left of x = -[tex]\frac{b}{2a}[/tex]
Decreases on right of x = -[tex]\frac{b}{2a}[/tex]
The vertex of the parabola lies on the axis of the parabola so the graph of the quadratic function increases on one side axis and decreases on the other side.
Learn more about quadratic function here
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Find the area of the the regular polygon.
Answer:
Area of Regular Polygon = ( About ) 332.6 units^2; Option C
Step-by-step explanation:
~ Let us first declare consecutive notes. If we were to draw an altitude in this triangle, it would be perpendicular to the base, by definition. At the same time this shape is a regular polygon, so all sides ( and angles ) are ≅. This would mean that, by Coincidence Theorem, the altitude divides the base into the two ≅ parts. ~
1. If that is so, the altitude would split this base into parts ⇒ ( 16√3 )/2 = 8√3.
2. This would mean that the altitude can be found through Pythagorean Theorem, provided that by definition it forms a 90 degree angle at the base. Let us say x ⇒ the length of the altitude, ( 8√3 )^2 + ( x )^2 = ( 16√3 )^2 ⇒ 192 + x^2 = 768 ⇒ x^2 = 576 ⇒ length of altitude - 24 units
3. With the base 16√3 units, and the the altitude/height 24 units, we can find the area of this regular polygon to be ⇒ 1/2 * base * height ⇒ 1/2 * 16√3 * 24 ⇒ 192√3 units^2
4. That being said that area would be 192 * 1.732050808...... ⇒
Area of Regular Polygon = ( About ) 332.6 units^2
From end zone to end zone, a football field is 120 yards long. How long is the
football field in feet?
1) 360 feet
)) 40 feet
(1) 60 feet
()) 240 feet
Answer:
120x3 = 360
Step-by-step explanation:
Answer:
360 I GOT IT RIGHT!!!
Step-by-step explanation:
un autobus de linea hace cuatro viajes cada dia. en cada viaje transporta 119 viajeros. ¿ cuántos pasajeros transporta al dia?
Answer:
son 119 pasajeros por vieje y hace 4 viajes ,murtiplicas la cantidad de pasajeros por la cantidad de los viajes osea 119x4 el total seria:476 pasajeros
all square numbers from 1 to 15
Answer:
1,4,9Step by step explanation
[tex] {1}^{2} = 1 \times 1 = 1 \\ {2}^{2} = 2 \times 2 = 4 \\ {3}^{2} = 3 \times 3 = 9 \\
{4}^{2} = 4 \times 4 = 16 \\ {5}^{2} = 5 \times 5 = 25 \\ {6}^{2} = 6 \times 6 = 36 \\ {7}^{2} = 7 \times 7 = 49 \\ {8}^{2} = 8 \times 8 = 64 \\ {9}^{2} = 9 \times 9 = 81 \\ {10}^{2} = 10 \times 10 = 100 \\ {11}^{2} = 11 \times 11 = 121 \\ {12}^{2} = 12 \times 12 = 144 \\ {13}^{2} = 13 \times 13 = 169 \\ {14}^{2} = 14 \times 14 = 196 \\ {15}^{2} = 15 \times 15 = 225[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Bobby catches 8 passes in 3 football games. At this rate how many passes dose he catch in 15 games?expine
Answer: 40
Step-by-step explanation:
I can see the answer is 40, but let's try to figure out how to do it.
I like to use the rule of 3. Let's put the number of passes on the left side and the number of games on the right side.
[tex]\frac{8}{x}=\frac{3}{15}[/tex]
''x'' represents the number of passes in 15 games.
Solve for x;
[tex]x=\frac{15*8}{3}\\ x=\frac{120}{3}\\ x=40[/tex]
Crunch Bunch cereal boxes come in two sizes. The mini cereal box of Crunch Bunch is a reduction of the standard box.
Answer:
Despite the full question not being in place the anwser your looking for is 10 inches.
Answer:
10 inches
Step-by-step explanation:
Rewrite the equation by completing the square.
2 x^2 -11 x +14 = 0
Answer:
x^2 - (11/2)x + 121/16 = -7
Step-by-step explanation:
What is slope? Provide two examples of realistic situations where slope manifests itself. In each example make sure to state what units the slope is expressed in.
Answer:
1. A slope is a surface of which one end or side is at a higher level than another; a rising or falling surface.
"he slithered helplessly down the slope"
Some real life examples of slope include: in building roads one must figure out how steep the road will be. skiers/snowboarders need to consider the slopes of hills in order to judge the dangers, speeds, etc. when constructing wheelchair ramps, slope is a major consideration.
Please help! Correct answers only please!
You pick a card at random. Without putting the first card back, you pick a second card at random.
What is the probability of picking an even number and then picking an even number?
Simplify your answer and write it as a fraction or whole number.
Answer:
1/6
Step-by-step explanation:
Out of these four card choices, for the first pick there are two even cards and four cards in total. This means that on the first pick there is a 2/4=1/2 chance that you pick an even card. On the second pick, if you do not replace the card, then there is 1 even card remaining, and 3 cards in total, leaving a probability of 1/3. Multiplying these two probabilities together, you get an overall chance of 1/6. Hope this helps!
Find the percent of decrease from 84 gallons to 45 gallons. Round to the nearest tenth of a percent if necessary.
Answer:
0.5
Step-by-step explanation:
45/84=0.5357142857142857
1-0.5357142857142857=0.4642857142857143
Answer:
= 46%
Step-by-step explanation:
● Original = 84 gallons
● New = 45 gallons
● Decrease = 84 - 45 = 39 gallons
If 84 gallons = 100%
What about 39 gallons = ?
= (39 x 100) ÷ 84
= 3900 ÷ 84
= 46.42
= 46%
Tenemos tres tipos de aceites, 5000 l de aceite tipo A, 2500 l de aceite tipo B y 245 l de aceite tipo C. Si los quiero envasar en recipientes de igual capacidad y los mas grandes posibles, ¿cuántos recipientes necesito?
Answer:
5 liters.Step-by-step explanation:
To solve this problem, we need to find the Greatest Common Factor (GCF) which is the greater factor possible in common for all three numbers 5000, 2500 and 245 liters.
5,000 | 2
2,500 | 2
1,250 | 2
625 | 5
125 | 5
25 | 5
5 | 5
1
So, [tex]5,000 = 2 \times 2 \times 2 \times 5 \times 5 \times 5 \times 5[/tex], [tex]2,500 = 2 \times 2 \times 5 \times 5 \times 5 \times 5[/tex]
245 | 5
49 | 7
7 | 7
1
[tex]245 = 5 \times 7 \times 7[/tex]
As you can observe, the greatest common factor is 5, because it's the greater number in common for all three numbers.
Therefore, the greatest recipient possible must be 5 liters capacity.
The height of players on a football team is normally distributed with a mean of 74 inches, and a standard deviation of 1 inch. If there are 50 football players on the team, how many are less than 74 inches tall?
Answer:
Step-by-step explanation:
Let x be the random variable representing the height of players on the football team. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
n = number of samples
From the information given,
µ = 74 inches
σ = 1 inch
n = 50
x = 74 inches
the probability that a player is less than 74 inches tall is expressed as
P(x < 74)
For x = 74,
z = (74 - 74)/(1/√50) = 0
Looking at the normal distribution table, the probability corresponding to the z score is 0.5
Therefore,
P(x < 74)
The players less than 74 inches is
0.5 × 50 = 25 players
Find the solution to x^2+2=27
Answer:
x = 5
Step-by-step explanation:
x^2 +2 = 27
x^2 = 27 - 2
x^2 = 25
x = [tex]\sqrt{25\\\\}[/tex]
x = 5
Answer: x equals 5
Step-by-step explanation:
27 minus 2 is 25, the square root of 25 is five.
What would be the mass of 234 ml of water??
Answer:
0.233298 kg is the mass of 234 ml of water
Step-by-step explanation:
Mathematically,
mass = density * volume
henry, to get the mass of that volume, we shall need to multiply it by the density of water.
The density of water is 997 kg/m3
To achieve consistency in units, we shall convert 234 ml to m3
Mathematically 1ml = 1 * 10^-6 m^3
Thus, 234 ml = 234 * 10^-6 m^3
Therefore the mass of water will be = 234 * 10^-6 * 997 = 0.233298 kg
The population of a town is growing at a rate of 2.1% per year. Given a starting population of 40,000 people, when will the population double?
Answer:
48 years
Step-by-step explanation:
In a newspaper,it was reported that the number of yearly robberies in springfield in 2011 was 240, and then went up by 5% in 2012.How many robberies were there in springfield in 2012?
Answer:
There were 252 robberies in 2012.
Step-by-step explanation:
Number of robberies in 2011 = 240
5% Increase =
[tex]5/100*240=12[/tex]
Therefore, new number of robberies in 2012 =
[tex]240+12=252[/tex].
To confirm this figure, we use the formula,
% increase = Increase / Original number * 100
Increase= 12
Original number= 240
Therefore,
12 / 240*100 = 5
This confirms that, indeed, there was a 5% increase in 2012.
what is the difference between very crowded and rowdy
Answer:
Crowded means full of people
Rowdy means noisy and disorderly.
Crowded and Rowdy are adjectives.
What are the coordinates of the x-intercept(s) of the graph of y=(x-6)(x+5)
Answer:
(-5 , 0) and (6 , 0)
Step-by-step explanation:
In order to get the coordinates of the x-intercept(s) of the graph of y=(x-6)(x+5)
we need to solve for x the equation (x-6)(x+5) = 0
(x-6)(x+5) = 0
⇌
x - 6 = 0 or x + 5 = 0
⇌
x = 6 or x = -5
therefore
the coordinates are :
(-5 , 0) and (6 , 0)
__________________________
:)
Find the approximate height of the cylinder. Use 3.14 for π.
Volume = 146.952 cm3 A cylinder is shown. The diameter is labeled six centimeters.
Answer: The height is 5.2 cm.
Step-by-step explanation:
146.952 = n r^2 h
146.952= 3.14 * 9 *h
146.952= 28.26 h divide both sides by 28.26
h = 5.2
Someone help pleaseeee!!!!!!!!!!!
Answer:
(-1,2)
Step-by-step explanation:
The solutions to the system is where the lines intersect
The lines intersect at the point (-1,2)
Enter the slope intercept equation of the line shown below
Answer:
y = -x + 1
Step-by-step explanation:
you know that it must be y = mx + b form so you know that b is the y-intercept and the only time it touches is on positive one so you know it needs a positive one. then to find the slope you need to use the two points that are given. Rise/Run(rise over run) it only goes up one and over -1 so divide and you get -1 for the slope.
hope this helps!
What is the area of the regular pentagon with 5 inch sides and apothem that measures 4.2 inches?
52.5 in2
21 in2
105in2
10.5 in2
Answer:
The area of the pentagon is 52.5 in²
Step-by-step explanation:
The area of a regular pentagon is given by:
area = (5*l*a)/2
Where l is the length of each side and a is the length of the apothem. Applying the data from the problem we have:
area = (5*5*4.2)/2
area = (105)/2
area = 52.5 in²
The area of the pentagon is 52.5 in²
What is the value of x
Answer: 0
Step-by-step explanation:
Evaluate for x =64
64 − 64
Answer:
x=29
Step-by-step explanation:
The first triangle:the unknown angle is 58°
180°-58=122
122+2x=180
2x=180-122
2x=58
x=58/2=29°
what is true about the equation y = 4x2 + 28x + 49
Answer:
What are the answer choices for this question. It would help me know what they are asking you to do.
A company is designing a new cylindrical water bottle. The volume of the bottle will be 230 cm cubed 3. The height of the water bottle is 7.3 cm. What is the radius of the water bottle? Use 3.14 for π.
Answer:
Step-by-step explanation:
I don't say you have to mark my ans as brainliest but if it has really helped you plz don't forget to thank me...
Felipe dice que su calculadora no funciona. Para cambiar solo el 9 del 39.200 sumó 1.000 pero obtuvo 40.200. ¿Cómo le explicarías a Felipe por qué no cambió solo el 9?
Answer:
Felipe dio un paso incorrecto de acuerdo con el sistema de valor posicional al sumar la suma de 1,000 a 39,200. La manera correcta en que Felipe debe abordar esto se muestra en la explicación a continuación.
Step-by-step explanation:
En el sistema de valor posicional; cada número representa una entidad particular; ya sea unidad, decenas, cientos, mil, diez mil etc. En la pregunta dada, el número 39200 indica que 9 está en el valor posicional de mil, es decir, 9000.
Entonces, si Felipe desea cambiar de 8 a 9, entonces necesita restar 9000-8000 = 1000
Sin embargo; si quiere cambiar 9 a cero; entonces restará 9000 de 9000; pero ya que 9 no funciona; Primero debe restar 8000 y luego restar 1000.
WHAT IS 5 times negative 1 and 2/5
PLEASE ANSWER ASAP WILL GIVE BRAINLIEST AND TONS OF POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASE SHOW YOUR WORK
Answer:
-7
Step-by-step explanation:
5*-1 2/5=-7
5*-1=-5
-2/5*5=-2
5+2=-7
Square root of 72x^2 z^3