9514 1404 393
Answer:
42,412 ft³ each tank
84,823 ft³ both tanks added together
Step-by-step explanation:
"Congruent in size" means both tanks have the same dimensions. Each has a radius of 15 ft and a length of 120 ft. Each has half the volume of a cylinder with those dimensions.
The formula for the volume of a cylinder is ...
V = πr²h
where r is the cylinder radius, and h is the length of its axis.
We want the volume of half a cylinder with r=15 and h=120 (dimensions in ft). We can compute that using ...
V = 1/2π(15 ft)²(120 ft) = π(225 ft²)(60 ft)= 13500π ft³
If we want the volume to the nearest cubic foot, we need a value of pi that is at least 7 significant digits (3.14 isn't appropriate). Then the volume is about ...
(13,500)(3.141593) ft³ ≈ 42,411.5 ft³ ≈ 42,412 ft³
Both tanks have a volume of 42,412 ft³ each.
_____
Additional comment
The question, "What is the volume of both tanks?" is ambiguous. We're not sure if the combined volume is intended, or if the volume of each of the two tanks is intended. Both numbers are provided, so you can sort it out as you see fit.
A 3 phase traffic signal is designed with 2 seconds of all red per phase and phase lengths of 25 seconds, 30 seconds, and 15 seconds. The cycle length is ____ seconds.
Answer:
[tex]CL=76secs[/tex]
Step-by-step explanation:
From the question we are told that:
Traffic Phases p=3
Phase time Lengths
25 seconds, 30 seconds, and 15 seconds
Red Per Phase [tex]T=2sec[/tex]
Generally the equation for Cycle Length is mathematically given by
[tex]CL=Phase\ Length+Red\ Per\ Phase[/tex]
[tex]CL=(25+2)+(30+2)+(15+2)[/tex]
[tex]CL=76secs[/tex]
4x + x - 3-9 + 4x = 6 ??
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
-------------------------
Given:
[tex]4x+x-3-9+4x=6[/tex]
---------->>>>
Combine like terms.
[tex]9x-12=6[/tex]
---------->>>>
Add 12 to both sides.
[tex]9x=18[/tex]
---------->>>>
Divide both sides by 9.
[tex]x=2[/tex]
-------------------------
Hope this is helpful.
I have no idea how to do this, so if someone could at least do one of these I’ll be grateful <3
Answer:
Answers are below!
Step-by-step explanation:
(2 + g) (8)
= (2 + g) (8)
Add a 8 after the 2, and flip.
= (2)(8) + (g)(8)
= 16 + 8g
= 8g + 16
= (4) (8 + -5g)
Add another 4, then flip.
= (4) (8) + (4) (-5g)
= 32 − 20g
= - 20g + 32
−7 (5-n)
= (−7) (5 + -n)
Add another 7, then flip.
= (−7) (5) + (-7) (-n)
= −35 + 7n
= 7n - 35
Use the distributive property.
a (b + c) = ab + ac
a = 8
b = 2m
c = 1
= 8 × 2m + 8 × 1
Simplify, you get 16m + 8.
Use the distributive property.
a (b + c) = ab + ac
a = 6x
b = y
c = z
= 6xy - 6xz is the answer.
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \\\:a\left(b+c\right)=ab+ac[/tex]
[tex]a=-3,\:b=2b,\:c=2a[/tex]
[tex]=-3\cdot \:2b+\left(-3\right)\cdot \:2a[/tex]
Apply minus plus rules.
[tex]=-3\cdot \:2b+\left(-3\right)\cdot \:2a[/tex]
Multiply the numbers.
3 x 2 = 6
Answer:
9. -35+7n
10. 16m+8
11. 6xy-6xz
Step-by-step explanation:
You multiplying the terms inside the ( ) by the outside factor.
This is call distributive property, a(b+c)=ab+ac.
Also, a(b+c)=(b+c)a by commutative property.
It also works over the operation subtraction since subtraction is just a disguised addition (addition of the opposite). That is, a(b-c)=ab-ac.
Anyhow, let's look at 9.,10., and 11..
9.
-7(5-n)
(-7)(5-n)
(-7)(5)-(-7)(n)
-35+7n
10.
8(2m+1)
(8)(2m)+(8)(1)
16m+8
11.
6x(y-z)
(6x)(y-z)
(6x)(y)-(6x)(z)
6xy-6xz
Hint on 7. It's like all the other problems. That is, it is equivalent to doing 8(2+g).
If you want comment below, if you want me to check any of yours or if you have any questions.
Please help! Rewrite the function
Answer:
The answer is below
Step-by-step explanation:
A function is used to show the relationship between two or more variables. This variables are known as the input variables and output variables.
The input variables are variables which do not depend on other variables while the output variables are variables that depends on other variables.
Given that g(x) = 12x / (x-5); rewriting in the form g(x) = [a/(x-h)] + k, gives:
[tex]g(x)=\frac{60}{x-5}+12[/tex]
The graph of g(x) was plotted using online geogebra graphing calculator. The graph is attached.
Round 36.319 to the nearest tenth
Help me plz I can’t figure it out
Answer:
m = 60
Step-by-step explanation:
The context is very important, the 'm' represents the minutes late the parents are and from this we can eliminate some options :
- The last one because then a parent would drop their child off earlier
- The first one and the third one because it is too long
When f(x) is divided by x + 4 the quotient is x2+5x−3+2x+4. What is f(−4)?
hiii help pls
thansjdjswjejejdjjdjeee
Which equation has a graph that passes through the origin and has a slope of -10?
a certain number n is 6 more than a second number and 9 less than a third number. in terms of n, which of the following expressions represents the second number
Answer:
n-6
Step-by-step explanation:
it is given that the first number is n
for the second number:
n is 6 more than a second number
more than means that we should subtract n by 6 to get the second number since n is 6 more than the second number
second number: n-6
True or False: The points T, Z, W and U coplanar in the following image
Answer:
False
Step-by-step explanation:
Points T & W are coplanar. Point Z is on both planes, so it depends on how you see it. HOWEVER, Point U is on another plane (plane Q to be exact), so points T, Z, W, and U are NOT coplanar.
Hope it helps (●'◡'●)
PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!!
Answer:
9
[tex]3^{\frac{4}{2} }[/tex] = [tex]3^{2} =9[/tex]
Step-by-step explanation:
write 16.76 correct to the nearest whole number
Answer:
17
Step-by-step explanation:
because they are both above 5 so add 1
Need an answer quick!!
Lines A and B are parallel
A
1
2
3125°
B
5 6
78
m26 = [? ]°
Answer:
<6 = 55°Step-by-step explanation:
Here,
<6 + 125° = 180° [Co-interior angles]
=> <6 = 180 - 125
=> <6 = 55° (Ans)
Help please :)......
Answer:
x | y
0 | 2
2 | 10
4 | 18
Step-by-step explanation:
the function would be y=4x+2
just plug each x value in to get each y value
A river is 212 mile long. What is the length of the river on a map, if the scale is 1 inch : 50 miles?
Answer:
4.24 inches
Step-by-step explanation:
1 inch / 50 miles = x / 212 miles Cross multiply
1 inch * 212 miles = 50 miles * x Divide by 50 miles
1 inch * 212 miles / 50 miles = x
x = 4.24 inches.
How much is 0.24 of an inch?
0.24 * 50 = 12
So 0.24 inches represents 12 miles.
Find the area of the figure below, formed from a triangle and a parallelogram.
144 square millimeters
120 square millimeters
72 square millimeters
96 square millimeters
total area =A1+A2+A3
A1=1/2b*h
A1=1/2*8mm*6mm
A1=24mmsquare
A2=1/2b*h
A2=1/2*8mm*6mm
A2=24mmsquare
A3=b*h
A3=8mm*6mm
A3=48mmsquare
Atotal=24mmsquare+24mmsquare+48mmsquare
Atotal=96mmsquare
Which answers describe the shape below? Check all that apply.
A. Trapezoid
B. Parallelogram
C. Rhombus
D. Rectangle
E. Quadrilateral
F. Square
Answer:
B, C, and E
Step-by-step explanation:
What is the equation of the line that is perpendicular to
and has the same y-intercept as the given line?
(0,0)
(5,0)
O y = x+1
O y = x+5
o y = 5x + 1
O y = 5x + 5
-6 -5 -4 -3 -2 -1
23
4 5 6
Mark this and return
Save and Exit
Nyt
Submit
Answer:
y = 5x + 1
Step-by-step explanation:
Given the coordinate points (0,1) and (5,0)
First, get the slope
Slope m =(0-1)/5-0
m = -1/5
Since the required line is perpendicular, then the required slope is;
M = -1/(-1/5)
M = 5
Since 1the y intecept id (0,1) i.e. 1
Required equation is y = mx+b
y = 5x + 1
This gives the required equation
Note that the coordinate (0,1) was used instead os (0,0)
If 3 3/4m of cloth was used for one suit, how many suits can be made with 30m cloth
Answer:
8 suits
Step-by-step explanation:
Divide 30 m by 3 [tex]\frac{3}{4}[/tex] m , or 30 ÷ 3.75 , then
30 ÷ 3.75 = 8
Then 8 suits can be made from 30 m of cloth
Need answer urgently
Answer:
x = -2; y = 1
Step-by-step explanation:
See picture below.
We are told matrices B is the inverse of matrix A.
The product of a matrix and its inverse is the identity matrix.
Prove that the square of an odd number is always 1 more than a multiple of 4
Answer:
By these examples you are able to see that the square of an odd number is always 1 more than a multiple of 4.
Step-by-step explanation:
For examples,
Let's consider squares of 3, 11, 25, 37 and 131.
[tex] {3}^{2} = 9[/tex]
8 is a multiple of 4, and 9 is more than 8.
[tex] {11}^{2} = 121[/tex]
120 is a multiple of 4 and 121 is one more than it.
[tex] {25}^{2} = 625[/tex]
624 is a multiple of 4 and 625 is one more than it.
[tex] {37}^{2} = 1369[/tex]
1368 is a multiple of 4 and 1369 is one more than 1368.
[tex] {131}^{2} = 17161[/tex]
17160 is a multiple of 4.
What piece of information is needed to prove
the triangles are congruent through ASA?
Answer:
B. <B is congruent to the <Z
OPTION B is the correct answer
define saturated and unsaturated fats
Answer:
A saturated fat is a type of fat in which the fatty acid chains have all or predominantly single bonds. A fat is made of two kinds of smaller molecules: glycerol and fatty acids. Fats are made of long chains of carbon atoms. Some carbon atoms are linked by single bonds and others are linked by double bonds.
Saturated fats: a type of fat containing a high proportion of fatty acid molecules without double bonds, considered to be less healthy in the diet than unsaturated fat
Unsaturated fats: a type of fat containing a high proportion of fatty acid molecules with at least one double bond, considered to be healthier in the diet than saturated fat.
what's the difference between both?: saturated fats Contains a single bond, Excessive consumption leads to heart diseases,High melting point and Solid state in room temperature. While Unsaturated Contains at least one double bond, Good for consumption, but excessive may increase cholesterol,Low melting point and Liquid state in room temperature.
Use the appropriate reciprocal identity to find the exact value of sin for the given value of csc . Rationalize denominators when applicable. csc 27/5 sin
Answer:
[tex]\sin(\theta) = \frac{5}{27}[/tex]
Step-by-step explanation:
Given
[tex]\csc(\theta) = \frac{27}{5}[/tex]
Required
Determine [tex]\sin(\theta)[/tex]
In trigonometry identity;
[tex]\sin(\theta) = \frac{1}{\csc(\theta)}[/tex]
So, we have:
[tex]\sin(\theta) = \frac{1}{\frac{27}{5}}[/tex]
Take inverse of the fraction
[tex]\sin(\theta) = \frac{5}{27}[/tex]
Know idea how to get an answer to this
Step-by-step explanation:
k=8.6
i think it is the right answer
Find the radius of the circle if the center is at (1, 2) and the point (-5, 6) lies on the circle.
On a coordinate plane, a circle has center point (1, 2). A point on the circle is at (negative 5, 6).
9514 1404 393
Answer:
2√13
Step-by-step explanation:
The distance between the center of the circle and a point on the circle is the radius. That distance is given by the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((-5 -1)² +(6 -2)²) = √(36 +16) = √52
d = 2√13
The radius of the circle is 2√13.
Please help very appreciated
Find how long it takes a person to drive 90 miles on a highway if she merges onto a highway at 3p.m. and drives nonstop with her cruise control set on 40 mph.
How long does is take a person to drive 90 miles?
(type an integer or a decimal)
Answer:
2.25 or 2 hours 15 mins
Step-by-step explanation:
90/40 = 2.25
1 Find the value of C to that the function probability density function defined as follow, also calculate the man and variance /4
X -1 0 1
f(x) 3c 3c 6c
Answer:
[tex]c = \frac{1}{12}[/tex]
The mean of the distribution is 0.25.
The variance of the distribution is of 0.6875.
Step-by-step explanation:
Probability density function:
For it to be a probability function, the sum of the probabilities must be 1. The probabilities are 3c, 3c and 6c, so:
[tex]3c + 3c + 6c = 1[/tex]
[tex]12c = 1[/tex]
[tex]c = \frac{1}{12}[/tex]
So the probability distribution is:
[tex]P(X = -1) = 3c = 3\frac{1}{12} = \frac{1}{4} = 0.25[/tex]
[tex]P(X = 0) = 3c = 3\frac{1}{12} = \frac{1}{4} = 0.25[/tex]
[tex]P(X = 1) = 6c = 6\frac{1}{12} = \frac{1}{2} = 0.5[/tex]
Mean:
Sum of each outcome multiplied by its probability. So
[tex]E(X) = -1(0.25) + 0(0.25) + 1(0.5) = -0.25 + 0.5 = 0.25[/tex]
The mean of the distribution is 0.25.
Variance:
Sum of the difference squared between each value and the mean, multiplied by its probability. So
[tex]V^2(X) = 0.25(-1-0.25)^2 + 0.25(0 - 0.25)^2 + 0.5(1 - 0.25)^2 = 0.6875[/tex]
The variance of the distribution is of 0.6875.