A silo in the shape of a cylinder is partially filled with corn to feed cows. The corn fills 25% of the height of the silo. What is the approximate volume of the part of the silo that is filled with corn if the silo is 12 feet in diameter and 60 feet high?
- PLEASE HELP im in the middle of an exam
Answer:
1695.6 cubic feet
Step-by-step explanation:
Given that,
The corn fills 25% of the height of the silo.
The diameter of silo, d = 12 feet
Radius, r = 6 feet
Height, h = 60 feet
The volume of the part of the silo that is filled with corn is given by :
[tex]V=25\%\ of\ \pi r^2 h\\\\=\dfrac{25}{100}\times 3.14\times 6^2\times 60\\\\V= $$1695.6\ feet^3[/tex]
So, the required volume is equal to 1695.6 cubic feet.
If line a has a slope of -3 and is perpendicular to line b, what would is the slope of line b?
Answer:
Slope of line B: 1/3
Step-by-step explanation:
To find a slope perpendicular to another slope, you take its negative reciprocal.
Therefore, line B will have a slope of 1/3 because -3 -> -1/3 -> 1/3
what is the answer to this question
Answer:
[tex]slope = \frac{2 - ( - 1)}{0 - ( - 1)} \\ = 3 \\ y = mx + c \\ 2 = (0 \times 3) + c \\ c = 2 \\ { \boxed{y = 3x + 2}}[/tex]
Please help?? I have an exam tomorrow
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
x² - 5xy + 6y² = x² - 3xy - 2xy + 6y²
= x(x - 3y) - 2y(x - 3y)
= (x - 3y)(x -2y)
x² - 4xy + 3y² = x² -xy - 3xy + 3y²
= x(x - y) - 3y(x - y)
= (x - y)(x - 3y)
x² - 3xy + 2y² = x² - xy - 2xy + 2y²
= x(x - y) - 2y(x - y)
= (x - y)(x - 2y)
Least common denominator = (x-y)(x - 2y)(x - 3y)
[tex]RHS = \frac{1*(x-y)}{(x-3y)(x-2y)*(x-y)}+\frac{a*(x-2y)}{(x-y)(x-3y)*(x-2y)}+\frac{1*(x-3y)}{(x-y)(x-2y)*(z-3y)}\\\\= \frac{x- y + ax - 2ay +x -3y}{(x-y)(x-2y)(x-3y)}\\\\= \frac{2x -4y +ax - 2ay}{ x^{3}-5x^{2}y+8xy^{2}-4y^{3}}[/tex]
Use the Pythagorean theorem to classify the triangle
formed by the three fences. Which is true about the
numbers 5, 12, and 13?
Answer:
they are equal
Step-by-step explanation:
The triangle with sides 5, 12, 13 is a right triangle because
a^2+b^2 = c^2
5^2+12^2 = 13^2
25+144 = 169
169 = 169
I'm using the pythagorean theorem converse.
Macy's buys a coat from the manufacturer for $22.00. They markup the coat by 75%. Ms. Tonyes buys the coat and uses a 15% off coupon. How much does Ms. Tonyes pay for the coat before tax?
Answer:
Toney buys the coat for $ 14.8.
Step-by-step explanation:
Cost of coat =$ 22
Mark up by 75 %
discount = 10 %
Let toney pay $ R for the coat.
So, according to the question
R + 75 % R = 1.75 R
Now the cost is
1.75 R - 15 % of 1.75 R = 22
1.75 R - 0.2625 R = 22
R = 14.8
So, he buy the coat for $ 14.8.
What is the explicit formula for the geometric sequence 2, 6, 18, 54, …?
Answer:
3x
Step-by-step explanation:
You multiply the pervious number with 3 to get the next number
For example 2 times 3 = 6
6 times 3 = 18
18 times 3 =54
54 times 3= 162
So on and so forth
279 students went on a field trip. Five buses were filled and 9 students traveled in cars. How many students were in each bus? PLEASEEEEE HELPPPPP ME you get 60 points i dont know if anyone cares but hey
Answer:
90 students.
Step-by-step explanation:
279-9=270, and 270 divided by 9 is 90.
At Fairview middle school 75 being members need to raise a total of $8250 for a trip so far they have is $3120 how much money in dollars per bandmember still needs to raised for the trip
Answer: 68.40$ per member left.
Explanation:
8250 = 75x + 3120
5130 = 75x
68.4 = x
Can you please help me ASAP
Answer:
x=35 this is your answer
There are 5 red, 4 blue, and 3 green marbles in a bag. What are the odds of randomly pulling a blue marble out of the bag and then randomly pulling a green marble out of the bag? The blue marble is NOT replaced.
A - 7/2
B - 12/24
C - 1/12
D - 1/11
is my dad abusive? today he grabbed my ears so hard and they turned so red and he put his arms around my face. then he kicked me really hard to the point where I peed, he also pushed me a lot and started slapping me. he did more which I can't remember but he also smashed my phone :) this all happened within 20 minutes and I could barely breathe after that lol. this may not seem so much but it is. this is too personal ig lol and I started self-harming again bc of him yay.
Answer:
Step-by-step explanation:
OMG! Don't do that! I am so sorry this is happening to you. Look I don't know how to comfort you. IF he keeps doing this tell your mom or litterally call 911. If he did it just on that day then try confronting him on it. And ask him why he did that! Don't self-harm you deserve so much more than that! You are awesome!
(Please help!) What is the value of x?
B
(x + 5) ft 910
8 ft
more
91°
А
38°
P.
38°
13 ft
13 ft
R
X=
Answer:
x = 5.1
Step-by-step explanation.
Our first step is to find all the angles. If b = 91 degree and c is 38, a. has to be 51 because all triangles add up to 180 degree. Because we have both B and b, we can use sine law.
a/A 13/sin91 c/38
we can use b in this situation.
The legnth of a is 10.1.
So, x-5 would be 5.1
Let z be inversely proportional to the cube root of y. When y =.064, z =3
a) Find the constant of proportionality k.
b) Find the value of z when y = 0.125.
Given:
z be inversely proportional to the cube root of y.
When y =0.064, then z =3.
To find:
a) The constant of proportionality k.
b) The value of z when y = 0.125.
Solution:
a) It is given that, z be inversely proportional to the cube root of y.
[tex]z\propto \dfrac{1}{\sqrt[3]{y}}[/tex]
[tex]z=k\dfrac{1}{\sqrt[3]{y}}[/tex] ...(i)
Where, k is the constant of proportionality.
We have, z=3 when y=0.064. Putting these values in (i), we get
[tex]3=k\dfrac{1}{\sqrt[3]{0.064}}[/tex]
[tex]3=k\dfrac{1}{0.4}[/tex]
[tex]3\times 0.4=k[/tex]
[tex]1.2=k[/tex]
Therefore, the constant of proportionality is [tex]k=1.2[/tex].
b) From part (a), we have [tex]k=1.2[/tex].
Substituting [tex]k=1.2[/tex] in (i), we get
[tex]z=1.2\dfrac{1}{\sqrt[3]{y}}[/tex]
We need to find the value of z when y = 0.125. Putting y=0.125, we get
[tex]z=1.2\dfrac{1}{\sqrt[3]{0.125}}[/tex]
[tex]z=\dfrac{1.2}{0.5}[/tex]
[tex]z=2.4[/tex]
Therefore, the value of z when y = 0.125 is 2.4.
Proportional quantities are either inversely or directly proportional. For the given relation between y and z, we have:
The constant of proportionality k = 1.2, andWhen y = 0.125 , z = 2.4What is directly proportional and inversely proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
[tex]p = kq[/tex]
where k is some constant number called constant of proportionality.
This directly proportional relationship between p and q is written as
[tex]p \propto q[/tex] where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n are two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n}[/tex]
or
[tex]n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called constant of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n}\\\\or\\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
For the given case, it is given that:
[tex]z \propto \dfrac{1}{^3\sqrt{y}}[/tex]
Let the constant of proportionality be k, then we have:
[tex]z = \dfrac{k}{^3\sqrt{y}}[/tex]
It is given that when y = 0.064, z = 3, thus, putting these value in equation obtained above, we get:
[tex]k = \: \: ^3\sqrt{y} \times z = (0.064)^{1/3} \times (3) = 0.4 \times 3 = 1.2[/tex]
Thus, the constant of proportionality k is 1.2. And the relation between z and y is:
[tex]z = \dfrac{1.2}{^3\sqrt{y}}[/tex]
Putting value y = 0.0125, we get:
[tex]z = \dfrac{1.2}{^3\sqrt{y}}\\\\z = \dfrac{1.2}{(0.125)^{1/3} } = \dfrac{1.2}{0.5} = 2.4[/tex]
Thus, for the given relation between y and z, we have:
The constant of proportionality k = 1.2, andWhen y = 0.125 , z = 2.4Learn more about proportionality here:
https://brainly.com/question/13082482
The object below is made with six identical cubes. Each cube edge is 3 inches long.
As
3 in.
What is the surface area of the object in square inches?
Answer:
306 square inches.
Step-by-step explanation:
All surfaces of the cubes are exposed to the outside except 2 ( where 2 of the cubes join).
6 separate cubes have 6 * 6 faces exposed so this object has 36 - 2 = 34 surfaces exposed.
Each face of one cube = 3*3 = 9 in^2.
Therefore the surface area = 9 * 34 = 306 in^2.
A quadrilateral is a parallelogram if each____ divides a parallelogram into two____.
Answer:
diagonal, congruent triangles
Step-by-step explanation:
A chef got 9 bags of onions. The red onions came in bags of 6 and the yellow onions came in bags of 7. If the chef got a total of 59 onions, how many bags of each type of onion did he get?
Answer:
yellow = 5 bags
red = 4 bags
Step-by-step explanation:
two equations can be derived from the question
x + y = 9 equation 1
6x + 7y = 59 equation 2
where x = number of red onion bags
y = number of yellow onion bags
Multiply equation 1 by 6
6x + 6y = 54 equation 3
subtract equation 3 from 2
y = 5
substitute for y in equation 1
x + 5 = 9
x = 9 - 5
x = 4
A triangular parcel of land has side lengths of 100, 580, and 600 feet. Approximate the area of the land. Round your answer to the nearest foot.
Answer:
28800 square feet
Step-by-step explanation:
We solve this using the Heron's formula
Area of a Triangle = √s(s - a)(s - b)(s - c)
s = a + b + c/2
s = 100 + 580 + 600/2 = 640
Area of the land(Triangle) = √640 × (640 - 100)(640 - 580)(640 - 600)
= √640 × (540) ×( 60) × (40)
= √(829440000)
= 28800 square feet
Therefore, the approximate the area of the land is 28800 square feet.
Marque a alternativa correta *
1 ponto
y = 4x – 2 é uma função do 1° grau decrescente.
y = 4 – 2x é uma função do 1° grau decrescente.
f(x) = x não é uma função do 1° grau .
f(x) = 1/2 x é uma função do 1° grau com coeficiente linear=1/2.
NRA
Step-by-step explanation:
f(x) = 1/2 x é uma função do 1° grau com coeficiente linear=1/2.
Can someone please help me!!!
Answer:
Option C
Step-by-step explanation:
same logic as in 2D problems. if C wasn't true, then the two planes couldn't be parallel
helpppp pleaseee its hard
Answer:
Ten thousands
Step-by-step explanation:
Replace all other digits with zero
This gives 40,000
Ten thousand (10,000) has the same amount of digits
Is this true or false???!!!
Answer:
It is true
Step-by-step explanation:
Hopes this help
the sum of 25 and x is 48 find x. . Solve.
Answer:
x = 23
Step-by-step explanation:
Sum of 25 and x = 48
25 + x = 48
Subtract 25 from both sides
25 - 25 cancels out
48 - 25 = 23
We would be left with x = 23
Answer:
[tex]x =23[/tex]
Step-by-step explanation:
Sum of 25 and x
[tex]25 + x[/tex]
Sum of 25 and x is 48
[tex]25 + x = 48[/tex]
Now lets simply Solve the equation
[tex]25 + x = 48 \\ x = 48 - 25 \\ x =23[/tex]
Hope this helps you.
Have a nice day!
help i give many points
Answer:
Step-by-step explanation:
The pic doesnt wrk comment question and ill answer
PLS HELP Find the value of x.
A. 4
B. 2
C. 7
D. 14
Answer:
ANSWER IS B
Step-by-step explanation:
5x - 3 = 3x + 1
5x - 3x = 1 + 3
2x = 4
x = 4/2
x = 2
Answer:
B. 2
Step-by-step explanation:
The sides 5x - 3 and 3x + 1 are the same length, so you can put an equal sign: 5x - 3 = 3x + 1, x = 2:
5(2) - 3 = 3(2) + 1
10 - 3 = 6 + 1
7 = 7
So x is 2
Find the measure of x and y
Answer:
y - 41°
x - ?
Step-by-step explanation:
use method of Z equation
Z 41° so y is 41° too
make sense
+
(10x+2)
→
(9X+18) find the value of x
16
Step-by-step explanation:
10x+2=9x+18
-2 -2
10x=9x+16
-9x -9x
x=16
Hope this helps! :)
Answer:
x = 16°
Step-by-step explanation:
(10x + 2)° = (9x + 18)°
10x + 2 = 9x + 18
10x + 2 - 2 = 9x + 18 - 2
10x = 9x + 16
10x - 9x = 9x - 9x + 16
x = 16°
What is the midpoint of the line segment graphed below?
A. (4,7/2)
B. (8,7/2)
c. (4,3/2)
D (8, 3/2)
Answer:
a) (4,7/2)
Step-by-step explanation:
Midpoint Formula:
[(-1+9)/2], [(2+5)/2]
(8/2, 7/2) = (4, 7/2)
Find an equation of the circle whose diameter has endpoints (6,4) and (2,-6)
Answer:
[tex](x-4)^2+(y+1)^2=29[/tex]
Step-by-step explanation:
We want to find a circle whose diameter has the endpoints (6, 4) and (2, -6).
Since this is the diameter, its midpoint will be the center of the circle. Find the midpoint:
[tex]\displaystyle M=\left(\frac{6+2}{2}, \frac{4+(-6)}2}\right)=(4, -1)[/tex]
So, the center of our circle is (4, -1).
Next, to find the radius, we can find the length of the diameter and divide it by half.
Using the distance formula, find the length of the diameter:
[tex]\begin{aligned} d&=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ &=\sqrt{(2-6)^2+(-6-4)^2}\\\\&=\sqrt{(4)^2+(-10)^2}\\\\&=\sqrt{116}\\\\&=2\sqrt{29}\end{aligned}[/tex]
So, the radius will be:
[tex]\displaystyle r=\frac{1}{2}d=\frac{1}{2}\left(2\sqrt{29}\right)=\sqrt{29}[/tex]
The equation for a circle is given by:
[tex]\displaystyle (x-h)^2+(y-k)^2=r^2[/tex]
Substitute:
[tex](x-4)^2+(y+1)^2=29[/tex]
Faith makes greetinli cards with colored paper. She plans to make 1/5 of the cards out of red paper. She
has 25 sheets of colored paper in all. If she uses all the colored paper she has, how many sheets are a
color other than red?