Answer:
The capacity of the cistern is [tex]1.2231~m^3[/tex]
The volume of iron used is [tex]0.0891~m^3[/tex]
Step-by-step explanation:
Volume
The volume of a rectangular box of dimensions x,y,z is given by:
V = x.y.z
The external dimensions of the rectangular cistern are 1.35 m, 1.08 m, and 0.90 m, thus the external volume is:
[tex]V_e=1.35*1.08*0.90=1.3122~m^3[/tex]
The cistern is made of iron 2.5 cm= 0.025 thick, thus the internal dimensions are:
1.35 - 0.025 = 1.325 m
1.08 - 0.025 = 1.055 m
0.90 - 0.025 = 0.875 m
The internal volume is:
[tex]V_i=1.325*1.055*0.875[/tex]
[tex]V_i=1.2231~m^3[/tex]
The capacity of the cistern is 1.2231~m^3
The volume of iron used is the difference between the external and the internal volumes:
[tex]V_{iron}=1.3122~m^3-1.2231~m^3[/tex]
[tex]V_{iron}=0.0891~m^3=89.1~lt[/tex]
The volume of iron used is [tex]0.0891~m^3[/tex]
A hungry Emperor penguin was swimming 21 feet below sea level. It swam up 9 feet to eat a fish. What is the position of the penguin now relative to sea level?
Answer:
Step-by-step explanation:
21 feet below is written as -21
9 feet up is written as +9
So we have -21 + 9 = -12 or 12 feet below sea level
help me plz asap now I just need answer question in pic
I was just about to ask this question
Step-by-step explanation:
Im on this question rn, i need help to :(
Answer: just guess :)
Step-by-step explanation:
Nathan measured a line to be 7.4 inches long. If the actual length of the line is 7.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer:
2.8%
Step-by-step explanation:
(7.4 - 7.2) / 7.2 =
0.2 / 7.2 =
2.7777777777778%
can someone please help me
Answer:
a. h(t) = 5t + 10
b. 70
c. h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.
Step-by-step explanation:
a. Since the elevator is already 10 feet of the ground, u have to add that in the equation. And since it's 5 feet per second, 5 will be a multiplier so:
h(t) = 5t + 10
b. We have the equation already and in the equation it said that "t" represents the seconds so just replace 1 with 12:
h(12) = 5(12) + 10
h(12) = 60 + 10
h(12) = 70
c. Refer to b that we just did if u will, "t" represents seconds so h(t) becoming h(5) means 5 seconds. So h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.
2,11,20 find the t15
Answer:
128
Step-by-step explanation:
There is a common difference between consecutive terms, that is
11 - 2 = 20 - 11 = 9
This indicates the sequence is arithmetic with n th term
[tex]t_{n}[/tex] = t₁ + (n - 1)d
where t₁ is the first term and d the common difference
Here t₁ = 2 and d = 9 , thus
t₁₅ = 2 + (14 × 9) = 2 + 126 = 128
Which angles are vertical angles?
I think NOQ POL.................................
Matilda wants to average sales in her café of $1400 per day. During the first 4 days of the week, her sales were $1289, $1498, $1327 and $1510. What does she need her sales for the 5th day of the week to meet her 5-day sales goal?
Answer
Matilda needs to sell 1376$ worth of coffee
4 ) Here is an explanation that the angle sum of triangle ABC is 180º.
The reasons for each line are missing.
Give the reasons.
1. Angle A of the triangle = angle PCA
2. Angle B of the triangle = angle QCB
3. Angle PCA + angle C of the triangle + angle QCB = 180°
Hence angle A + angle B+ angle C = 180°
Answer:
Thank you and please rate me as brainliest as it will help me to level up
The area of the triangle is 22.4cm^2.
Calculate the length, b, of the longest side of the triangle.
Please help, I will mark first correct answer brainliest.
Answer:
The longest side length b is approximately 13.172 cm
Step-by-step explanation:
The given parameters are;
The area of the triangle = 22.4 cm²
The given angles of the triangle = ∠97°
The given side of the triangle = 3.7 cm
The formula for the area of a triangle, A = 1/2 × a × b × sin(C)
Where;
a, and b are the side legs forming the angle C
Therefore, we have;
A = 22.4 = 1/2 × 3.7 × a × sin(97°)
a = 22.4/(1/2 × 3.7 × sin(97°)) ≈ 12.199
a ≈ 12.199 cm
Therefore, by cosine rule, we have;
b² = a² + c² - 2 × a × c × Cos(B)
Substituting the values, gives;
b² = 12.199² + 3.7² - 2 × 12.199 × 3.7 × Cos(97°)
b² ≈ 173.507
∴ b ≈ √173.507 ≈ 13.172
b ≈ 13.172 cm
what does 28-8 represent?
Step-by-step explanation:
subtraction if that wut u askim
Which expression has a value of 40?
1. 240 divided by 60
2. 2400 divided by 6
3. 2400 divided by 60
4. 2400 divided by 600
2400 divided by 60 is equal to 40. The correct option is 3.
To find the expression that has a value of 40, to evaluate each expression:
1.
240 divided by 60:
Divide 240 by 60 is equal to 4.
So, this is incorrect option.
2.
2400 divided by 6:
Divide 2400 by 6 is equal to 400.
So, this is incorrect option.
3.
2400 divided by 60:
Divide 2400 by 60 is equal to 40.
So, this is correct option.
4.
2400 divided by 600:
Divide 2400 by 600 is equal to 4.
So, this is incorrect option.
Hence, out of the four expressions, the third one, 2400 divided by 60, has a value of 40. So the correct answer is 3 (2400 divided by 60).
Learn more about Divided here:
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What is the greatest common factor of 9 and 12? 3 9 36 108
Answer:
The GCF would be 3
Step-by-step explanation:
You’re welcome :)
Answer:
1. A
Step-by-step explanation:
It will take 20 points to make the playoffs, the Hockey Team coach told the players. "We get 2 points for a win and 1 point for a tie." Let be the number of wins and be the number of ties. Write an equation to describe the values of and that will let them make the playoffs.
Answer:
[tex]2x+y\geq 20[/tex]
Step-by-step explanation:
Given that total points required to make the playoffs = 20 points
As there is 2 points for a win,
so points earned for x win = 2x
Similarly, as there is 1 point for a tie.
so points earned for y ties = 1[tex]\times[/tex] y= y
Total points earned for x win and y ties = 2x+y
As the team makes the playoff so the total points of the team must be equal to or greater than 20 points (i.e the minimum points to make the playoff), so
[tex]2x+y\geq 20[/tex]
Hence, the required equation is [tex]2x+y\geq 20[/tex].
What is the value of x in the figure below? In this diagram, ABD ~ CAD. А с B 13 D3 A. 16 B. 208 C. 39 D. 48 E. 13/16 F. 139
F. Square root of 39
Step-by-step explanation:
Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.
Option F. is correct.
Define similar triangles.Two triangles are said to be similar if their sides are proportional and their corresponding angles are equal.
[tex]\bigtriangleup ABD \sim \bigtriangleup CAD[/tex]
[tex]\boldsymbol{\frac{AD}{CD}=\frac{BD}{AD} }[/tex]
[tex]\frac{x}{13}=\frac{3}{x}[/tex]
[tex]x^2=39[/tex]
[tex]x=\sqrt{39}[/tex] units.
Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.
Option F. is correct.
Find out more information about triangle here:
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Help!!! Worth 12 points !!!! I’ll mark brainliest!!!❤️
Answer:
good handwritting the first is 87
Step-by-step explanation:
Please answer this question
Answer:
5 units right and 3 units up
Step-by-step explanation:
A shift 5 units to the right, and then a shift 3 units up.
k = +3
+k shifts function up; -k shifts function down,so 3 units up
h = -5
x+h shifts function left; x-h shifts function right, so 5 units right
Thomas used a can to feel his new fish tank with water. The fish tank holds 11 gallons of water. His can hold 1/5 of a gallon. How many times will Thomas have to feel his canned to put 11 gallons of water in a fish tank?
Answer:
55
Step-by-step explanation:
If the can holds 1/5 of a gallon, he will have to fill it up 5 times to fill 1 gallon of the tank. Since the tank holds 11 gallons, he will have to fill up the can 5 × 11 = 55 times.
The slope of the lawn and passing through the points (1,3) and (5,13)
3. Three of the following statements are true.
Which one is NOT true?
1-12] > 1
10> -4
120 >1-101
61-3
Answer:
The correct answer is A or option 1
Does this graph represent a function? Why or why not?
10
10
A. No, because it is not a straight line.
B. Yes, because it passes the horizontal line test.
c. Yes because it passes the vertical line test
D. No, because it fails the vertical line test.
Answer:
No because it does no pass the vertical line test
Step-by-step explanation:
In triangle ABC, the measure of angle A is 48° and the measure of angle C is 24°. What type of triangle is triangle ABC?
Answer:108 degrees
Step-by-step explanation:
Answer:
Scalene triangle
Step-by-step explanation:
24+48= 72
180-72=108
All three angles are different meaning that the triangle must be a scalene triangle.
This weekend the hardware store is having a blowout sale, where everything is discounted 40%. A weed eater originally sells for $145. How much will the weed eater cost during the blowout sale?
Answer:
58
Step-by-step explanation:
Answer:
$58
Step-by-step explanation:
The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:
Graph titled Distance Vs Time is shown with Time in minutes along the x axis and Distance from Nest in miles along the y axis. The scale on the x axis shows the numbers 0 to 25 at increments of 5, and the scale on the y axis shows the numbers 1 to 8 at increments of 1. A straight line joins the ordered pairs 0, 3 and 5, 4 and 10, 5 and 15, 6 and 20, 7.
Based on the graph, what is the initial value of the graph and what does it represent? (1 point)
a
3 miles per minute; it represents the speed of the bird
b
0.2 mile per minute; it represents the speed of the bird
c
0.2 mile; it represents the original distance of the bird from its nest
d
3 miles; it represents the original distance of the bird from its nest
Answer:
(d).
Step-by-step explanation:
The y-intercept (0, 3) is initial value of graph ⇒ (d). 3 miles; it represents the original distance of the bird from its nest
Answer:
0.2 mile; it represents the original distance of the bird from its nest
Step-by-step explanation:
HELP IM ON GRADPOINT I AM ON A QUIZ IF I CAN ALSO GET THE REST OF THE ANSWERS I WILL MARK BRAINLYEST
Answer:
top is independent, bottom is dependent
Step-by-step explanation:
top has only 1 answer, bottom has infinite answers
What is the slope of the line that passes through the points (5,-11) and (-9,17)?
Answer:
-2
Step-by-step explanation:
m=y2-y1
x2-x1
Answer:
-2=slope
Step-by-step explanation:
17--11=28
-9-5= -14
28/-14= -2
Find the point that is a solution for y=6x+8
Answer:
(-8/6, 0) is the answer
first is the absicca and the second is the ordinate
Evaluate 1/6t+1/12 when t=1/2
Answer:
1/6
Step-by-step explanation:
You're welcome :)
Lisa loaned John $5000 at an interest rate of 6%. He repaid her $5750 to cover the principal and interest. How long did he borrow the money?
Answer:
time in years = 2.5 years
Step-by-step explanation:
time = interest / (principal amount x rate)
time = 750 / 5000 x 0.06
time = 750 / 300
time = 2.5 years
Simplify the expression by combining like terms.
t + 8 + 3t
SHOW YOUR WORK: Use different colors to circle your like terms then use addition/subtraction to combine
them.
*Remember: Variable term goes FIRST!
Answer:
4t + 8
Step-by-step explanation:
t + 3t = 4t
4t + 8
Answer:
4t+8
Step-by-step explanation:
If you look at your equation t+8+3t you will notice how you have two t parts
part 1: t
part 2: 3t
Since they have the same variable or letter you are able to combine them. When you add them together you get 4t.
Then you just put your 8 back on to the equation! 4t+8
somebody please help me what is 15 / 3 ×7/20
Answer:
1.75
Step-by-step explanation:
By Order of Operations, You read it left to right since Multiplication and Division are of the same importance. You would start with 15/3, which is 5.
Then your equation would be: 5*7/20.
Again, you would just read it left to right, 5*7=35
Then divide by 20, which is 1.75.