Answer:
800 = 1/3(B)(46)
Step-by-step explanation:
Volume of a cone is [tex]1/3pir^2h[/tex]
we can set up an equation where V = 1/3pir^2h
Knowns :
V = 800
h = 46
Plug the knowns into the equation
800 = 1/3(pir^2)(46)
pir^2 is the area of a circle, which in this case is B
hope this helps
The equation which can be used to find the area of the circular base is 800 = 1/3(πr²)(46)
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that circular cardboard piece is needed for the base of a volcano model.
The volcano is 46 centimeters tall and has a volume of 800 cubic centimeters.
We have to find the equation which can be used to find the area of the circular base.
Volume of a cone is 1/3πr²h
V= 1/3πr²h
Plug in the values of volume and height in the above formula
V = 800
h = 46
800 = 1/3(πr²)(46)
Hence, the equation which can be used to find the area of the circular base is 800 = 1/3(πr²)(46)
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A cube of sides 10cm was cut across to obtain a prism. Calculate the surface area of the prism and the volume of the prism
[tex] \frac{1}{2} bh \times h[/tex]
Answer:
Part A
The volume of the triangular prism is 500 cm³
Part B
The total surface area of the prism is approximately 441.42 cm²
Step-by-step explanation:
The given details are;
The dimensions of the side length of the cube, s = 10 cm
The shape the cube was cut across to obtain = A prism
Part A
Whereby the prism obtained is a triangular prism, we have;
The cube can be cut in half to form a triangular prism
The volume of each triangular prism obtained = (1/2) × The volume of the cube
∴ The volume of the triangular prism = (1/2) × (10 cm)³ = 500 cm³
Part B
The height of the prism, h = 10 cm × sin(45°) = 5·√2 cm = (1/2) × The base width of the prism
The triangular cross sectional area of the prism, A₁ = 5·√2 × 5·√2 = 50
The square cross sectional area, A₂ = 10 × 10 = 100
The cross sectional area of the base, A₃ = 10·√2 × 10 = 100·√2
The total surface area of the prism, A = 2·A₁ + 2·A₂ + A₃
∴ A = 2×50 + 2×100 + 100·√2 = 300 + 100·√2 ≈ 441.42
The total surface area of the prism, A ≈ 441.42 cm²
so L x W=A so I have a problem where one side is 9cm on the other sides there's nothing
Answer:
The other sides equal 9cm also because a square has four equal sides.
L=9cm * W=9cm =A
A=81 cm
PLEASE, WILL GIVE BRAINLIEST! THANKS! Hey guys LOL
Indicate in standard form the equation of the line through the given points, writing the answer in the equation box below.
P (0, -4), Q (5, 1)
Answer:
y=1x-4
Wait sorry I did it wrong the first time lol.
In standard Form, it should be 4x-4y=16
Step-by-step explanation:
yes yes hand me brain
Có 10 bạn mua cùng một loại vở hết tất ả 60 000 tính giá tiền của mỗi quyển vở biết rằng mỗi bạn mua 2 quyển vở
Answer:
Giá một cuốn sách là $ 1000
Step-by-step explanation:
Được
Tổng chi phí sách = 60000
Tổng số bạn bè = 10
Sách do mỗi người bạn mua = 2
Như vậy, tổng số sách mua của cả 10 bạn = 10 * 2 = 20
Giá của một cuốn sách = Tổng giá / tổng số sách đã mua
Giá một cuốn sách = 20000/20 = 1000
Giá một cuốn sách là $ 1000
What am I doing wrong? I've tried every conceivable answer, I thought I knew this type of math well, but this program keeps telling me I'm wrong.
Answer:
15.0 units
Step-by-step explanation:
Here, we want to get the distance between the two points as follows;
CD = √(x2-x1)^2 + (y2-y1)^2
So we have;
CD = √(7+8)^2 + (-5+4)^2
CD = √225+ 1 =
CD = √(226
CD = 15.0 units
Find the value of x. Round to
the nearest tenth.
27°
х
34°
11
X = [ ?
Answer:
[tex]{ \tt{from \: sine \: rule : }} \\ { \bf{ \frac{ \sin(A) }{A} = \frac{ \sin(B) }{B} }} \\ \\ { \bf{ \frac{ \sin(34 \degree) }{x} = \frac{ \sin(27 \degree) }{11} }} \\ \\ { \bf{x = \frac{11 \times \sin(34 \degree) }{ \sin(27 \degree) } }} \\ \\ { \tt{x = 13.5}}[/tex]
For the given functions f(x) and g(x), find (f + g)(x) or (f – g)(x) as
indicated.
f(x) = 8x – 7,8(x) = 6x – 4
Find (f + g) (x)
Answer:
(f + g) (x) = 14x-11
Step-by-step explanation:
From the question, what we have to do is to add the two given polynomials
We have this as;
(8x-7) + (6x-4) = 8x + 6x -7-4 = 14x -11
If the angles are represented in degrees,find both angles: csc(2x+9) =sec(3x+26)
Angle 1: Angle 2:
Please respond quick
Answer:
31°,59°
Step-by-step explanation:
csc (2x+9)=sec(3x+26)
1/sin(2x+9)=1/cos (3x+26)
sin (2x+9)=cos(3x+26)
cos (90-2x-9)=cos(3x+26)
90=3x+26+2x+9
5x+35=90
5x=90-35=55
x=55/5=11
2x+9=2×11+9=31°
3x+26=3×11+26=59°
Find: (6m5 + 3 – m3 – 4m) – (–m5 + 2m3 – 4m + 6)
Write subtraction of a polynomial expression as addition of the additive inverse.
(6m5 + 3 – m3 – 4m) + (m5 – 2m3 + 4m – 6)
Rewrite terms that are subtracted as addition of the opposite.
6m5 + 3 + (–m3) + (–4m) + m5 + (–2m3) + 4m + (–6)
Group like terms.
[6m5 + m5] + [3 + (–6)] + [(–m3) + (–2m3)] + [(–4m) + 4m]
Combine like terms.
Write the resulting polynomial in standard form.
Given:
The expression is:
[tex](6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)[/tex]
To find:
The resulting polynomial in standard form.
Solution:
We have,
[tex](6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)[/tex]
Write subtraction of a polynomial expression as addition of the additive inverse.
[tex](6m^5+3-m^3-4m)+(m^5-2m^3+4m-6)[/tex]
Rewrite terms that are subtracted as addition of the opposite.
[tex]6m^5+3+(-m^3)+(-4m)+m^5+(-2m^3)+4m+(-6)[/tex]
Group like terms.
[tex][6m^5+m^5]+[3+(-6)]+[(-m^3)+(-2m^3)]+[(-4m)+4m][/tex]
Combine like terms.
[tex]7m^5+(-3)+(-3m^3)+0[/tex]
On simplification, we get
[tex]7m^5-3-3m^3[/tex]
Write the polynomial in standard form.
[tex]7m^5-3m^3-3[/tex]
Therefore, the required polynomial in standard form is [tex]7m^5-3m^3-3[/tex].
Help please!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
(c) The solution -6 is an extraneous solution
Step-by-step explanation:
If you solve the equation graphically, you can avoid extraneous solutions. The true solution is x = -1.
You can tell from the equation that the domain will be restricted to values of x that make the radical non-negative:
x+4 ≥ 0 ⇒ x ≥ -4
Then x=-6 must be an extraneous solution. It arises when the negative square root is used.
__
The conventional solution method has you square both sides and solve the resulting quadratic.
(x +4)² = x +10
x² +7x +6 = 0
(x +6)(x +1) = 0 ⇒ x = -6 or -1
The solution x=-6 is not in the domain, so is extraneous.
__
Additional comment
Graphical solution is often easier if the equation is in the form f(x) = 0. That form can be had by subtracting one side of the equation from both sides. In the attached, we subtracted √(x+10) from both sides. (We added the negative branch of the square root function to show where the extraneous root comes from.)
what is the vertex of x^2
Answer:
The vertex is (0,0)
Step-by-step explanation:
To find the x coordinate of the vertex
x = -b/2a where ax^2 +bx +c
a=1 b=0 c=0
x = -0/2(1) = 0
The y value is found by substituting into the equation
y = (0)^2 =0
The vertex is (0,0)
The measurement of a rectangular room on a scale drawing are 8cm x 6cm. If the scale use is 1 : 400, calculate the actual area of the room in m².
Answer:
768 m²
Step-by-step explanation:
8 x 400 = 3200 cm = 32 m
6 x 400 = 2400 cm = 24m
32 x 24 = 768 m²
Which function is graphed?
Answer:
I think that a Cube Root Function
Step-by-step explanation:
Escribe un número de tres cifras digamos a1b1c1, en el cual a1 sea distinto de c1; ahora invierte los dígitos a1 y c1, (obtendrás el número c1b1a1 ); resta el número menor al número mayor, es decir a1b1c1 - c1b1a1 o bien c1b1a1 - a1b1c1, obtendrás como resultado un número de tres cifras, digamos a2b2c2 (es posible que a_2=0 ); invierte los dígitos a_2 y c_2. Finalmente suma los números a2b2c2 y c2b2a2 . ¿Qué número obtuviste?
Answer:
El número obtenido es:
1089.Step-by-step explanation:
Vamos a escoger tres números sencillos para cada variable como:
a1 = 1b1 = 2c1 = 3Por lo tanto, nuestro número de tres cifras es:
123 (la única pauta es que a1 sea diferente a c1 y con este número la cumplimos)Ahora, nos dice que invirtamos los números a1 y c1, por lo tanto, nuestro nuevo número de tres cifras sería:
321A continuación, nos menciona que restemos el menor del mayor, en este caso, nuestro número menor es 123 y el mayor es 321, por lo tanto:
321 - 123 = 198 (Este resultado será el mismo sin importar cuáles números elijas para el ejercicio)Como obtuvimos el número 198, se podría decir que:
a2 = 1b2 = 9c2 = 8Ahora nos piden que invirtamos a2 y c2, por lo tanto nuestro nuevo número sería:
891Y por último, nos solicita que sumemos los dos últimos números obtenidos, entonces tenemos:
891 + 198 = 1089Por lo tanto, el número obtenido al final es 1089, el cual obtendrás sin importar qué número de tres cifras elijas al inicio, siempre y cuando no se repitan el primero y el tercer dígito.
can someone help me I don't understand
Answer:
(a) 165 m/min
(b) 107.14m/min
Step-by-step explanation:
The slope of the distance time graph gives speed.
Here, the speed of the segment A is
[tex]v_A= \frac{900-0}{4-0}=225 m/min[/tex]
The speed of segment B is
[tex]v_B= \frac{1500- 900}{14-4}= 60 m/min[/tex]
(a) The change in speed is
= 225 - 60 = 165 m/min
(b) The average speed is defined as the ratio of total distance to the total time.
So, the average speed is
[tex]= \frac{1500}{14}= 107.14 m/min[/tex]
Use the three steps to solve the problem.
Betty has 10 more dimes than quarters. If she has $3.45, how many quarters and dimes does she have?
Answer:
17
Step-by-step explanation:
Let d be dimes
q represent quarters
d = q + 10
10d + 25q = 345 cents
Substitute for "d" and solve for "q";
10(q+10) + 25q = 345
35q + 100 = 345
35q = 245
q = 7
Since d = q+10, d = 17
In Byron's class, there are 2 boys for every 3 girls. Today 7 new boys were added making the number of boys and girls the same. How many boys and girls were there originally?
Answer:
12
Step-by-step explanation:
2+3=5+7=12
Describe the transformation that maps f(x)=x3 onto f(x)=2(x−5)3
Answer:
5 units to the right
Step-by-step explanation:
(x-5) is considered as a horizontal shift and since it has got (-) you count to the right
Volume How many fluid ounces are in each size?
1 cup = 8 oz. 1pint = 2 cups. 1 quart = 2 pints. 1 gallon = 4 quart
1 cup = _______fl oz.
Answer:
1 cup = 8 fl oz
Step-by-step explanation:
1 cup = 8 fl oz
Find the odd one out, and explain why
26..325..226..49..50
a) 325
b) 226
c) 50
d) 49
Answer:
B.226
Step-by-step explanation:
I HOPE ITS HELP PO
Can someone help me solve this? I will need the x and y and will also need to solve for angles 1, 2, 3, and 4.
Answer:
x = 20,
y = 15
m<1 = 75°
m<2 = 75°
m<3 = 75°
m<4 = 105°
Step-by-step explanation:
m<1 = 3x + 15
m<2 = 4x - 5
m<3 = 5y
✔️m<1 = m<2 (corresponding angles are congruent)
3x + 15 = 4x - 5 (substitution)
Collect like terms
3x - 4x = -15 - 5
-x = -20
Divide both sides by -1
x = 20
✔️m<3 = m<2 (corresponding angles are congruent)
5y = 4x - 5 (substitution)
Plug in the value of x and solve for y
5y = 4(20) - 5
5y = 80 - 5
5y = 75
5y/5 = 75/5
y = 15
✔️Find the measure of each labelled angle:
x = 20, y = 15
Thus:
m<1 = 3x + 15 = 3(20) + 15
m<1 = 75°
m<2 = 4x - 5 = 4(20) - 5
m<2 = 75°
m<3 = 5y = 5(15)
m<3 = 75°
m<4 + m<3 = 180° (same side interior angles are supplementary)
m<4 + 75° = 180° (substitution)
m<4 = 180° - 75° (subtraction property of equality)
m<4 = 105°
By writing each number correct to 1 significant figure, estimate the value of
37.8 x 13.2
28,5 + 22.1
You must show all your working.
Answer:
37.8 x 13.2 =4988.6
28,5 + 22.1 = 50.6
You are baking a cake. The recipe asks for \frac{3}{5} 5 3 cup of butter and you want to make \frac{1}{5} 5 1 of the original recipe. How many cups of butter will you need?
Answer:
3/25 cup of butter
Step-by-step explanation:
You are baking a cake. The recipe asks for 3/5 cup of butter and you want to make 1/5 of the original recipe.
The calculation for the above question is given below:
1 recipe = 3/5 cup of butter
1/5 recipe = x
Cross Multiply
x × 1 recipe = 1/5 recipe × 3/5 cup of butter
x = 1/5 recipe × 3/5 cup of butter /1 recipe
x = 3/25 cup of butter
Therefore, you will need 3/25 cup of butter
Trong mặt phẳng tọa độ Oxy , cho vectơ a = ( -3;4) . Độ dài vectơ a bằng bao nhiêu
Answer:
Step-by-step explanation:
Độ dài vecto a= căn bậc hai của (-3)*(-3)+4*4=5
Answer:
5
Step-by-step explanation:
Which expression is equivalent to
Answer:
The second one from the top
Step-by-step explanation:
x^(5/3) y^1/3)
Answer:
you can rewrite expressions, for example
[tex] \sqrt[3]{x} = {x}^{ \frac{1}{3} } [/tex]
so yeah, option b is correct
What's the area of the entire shape?
Answer:
30
Step-by-step explanation:
you need to multiply its length by its with
The potential solutions to the radical equation are a = −4 and a = −1. Which statement is true about these solutions? The solution a = −4 is an extraneous solution. The solution a = −1 is an extraneous solution. Both a = −4 and a = −1 are true solutions. Neither a = −4 nor a = −1 are true solutions.
Answer:
Both a = −4 and a = −1 are true solutions
Step-by-step explanation:
Given
[tex]\sqrt{a + 5} = a + 3[/tex]
[tex]a = -4; a = -1[/tex]
Required
The true statement about the solutions
We have:
[tex]\sqrt{a + 5} = a + 3[/tex]
Square both sides
[tex]a + 5 = (a + 3)^2[/tex]
[tex]a + 5 =a^2 + 6a + 9[/tex]
Collect like terms
[tex]a^2 + 6a - a + 9 - 5 = 0[/tex]
[tex]a^2 + 5a + 4 = 0[/tex]
Expand
[tex]a^2 + 4a + a + 4 = 0[/tex]
Factorize
[tex]a(a + 4) + 1(a + 4) = 0[/tex]
Factor out a + 4
[tex](a + 1)(a + 4) = 0[/tex]
Split:
[tex]a + 1 = 0; a + 4 = 0[/tex]
Solve:
[tex]a =-1; a = -4[/tex]
Answer:
C on 3dge
Step-by-step explanation:
Both a = −4 and a = −1 are true solutions
A bag contains two striped cubes, five dotted cubes, five white cubes, and three red cubes. What is the probability of drawing two striped cubes in succession, without replacing the first cube drawn
The probability of drawing two striped cubes in succession, without replacing the first cube drawn is
1/136
What is probability?Generally, The possibility of an occurrence may be quantified using the concept of probability. It is a number between 0 and 1, where 0 indicates that an event will never happen and 1 indicates that an event will definitely take place.
Probabilities may be represented as fractions, decimals, or percentages somewhere between 0 and 1, inclusive. In each given circumstance, the sum of the probabilities of all of the conceivable outcomes must equal 1.
The probability of drawing a striped cube on the first draw is 2/17 (there are 2 striped cubes out of a total of 17 cubes in the bag).
The probability of drawing a second striped cube, given that the first one was not replaced, is 1/16 (there is now only 1 striped cube left in the bag out of a total of 16 remaining cubes).
The probability of both events happening is the product of the individual probabilities:
(2/17) * (1/16) = 1/136
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Which expression is equivalent to 27 Σ 8n? N=0 hurry please my life depends on it
Given:
The expression is:
[tex]\sum\limits_{n=0}^{27}8n[/tex]
To find:
The expression that is equivalent to the given expression.
Solution:
According to the property of summation:
[tex]\sum\limits_{n=0}^{k}Cn=C\sum\limits_{n=0}^{k}n[/tex]
Where, C is a constant.
We have,
[tex]\sum\limits_{n=0}^{27}8n[/tex]
Using the above mentioned property of summation, we get
[tex]\sum\limits_{n=0}^{27}8n=8\sum\limits_{n=0}^{27}n[/tex]
The expression [tex]8\sum\limits_{n=0}^{27}n[/tex] is equivalent to the given expression.
Therefore, the correct option is C.
SOMEONE HELP ME LOL IM SO OVERWHELMED
Answer:
1) [tex]\frac{12.2}{sin(54)}[/tex] which rounds to 15.1
2) [tex]\frac{12.2}{cos(54)}[/tex] which rounds to 20.8
Step-by-step explanation:
1) We're going to have to use the trig ratios for this. We know that sin(x) = [tex]\frac{opposite}{hypotenuse}[/tex] (opposite side over the hypotenuse). In this case, we know that angle h = 54 and the side opposite to angle h = 12.2, and we're trying to find the hypotenuse. If we label the hypotenuse as x, then we can say that sin(H) = [tex]\frac{MI}{HI}[/tex]. We can plug in the values we know to get sin(54) = [tex]\frac{12.2}{x}[/tex]. From there, we multiply by x on both sides to get x out of the denominator, and then we divide by sin(54). So, we end up with x = [tex]\frac{12.2}{sin(54)}[/tex] which, if you put it in your calculator (and make sure the calculator is in degree mode) we get approximately 15.1 mi.
2) Follow the same steps that are described in 1), but instead of sin, we're using cos.
Hope this helps! Let me know if you have any further questions!