Answers
[tex]\displaystyle\bf \boxed{V=abh \ ; \ 1dm^3=1litre=1000cm^3} \\\\a=12cm \ ; \ b=8 cm ;\: h_1=7 \; ; \ h_0=h_1+h_2=?\\\\abh_2=1,2litre=1,2dm^3\ = 1200cm^3\\\\ 8\cdot 12 h_2=1200\\\\h_2=12.5 cm\: then \\\\h_0= 7+12,5=19,5 \\\\Answer : the \ height \ of \ the \ tank \ is \ 19,5 cm[/tex]
Related Questions
Given triangles MNP and QRP are similar triangles, and side MN equals 16 in and QR equals 48 in, what is the scale factor of the dilation from triangle MNP to QRP? "
Answers
Answer:
Scale Factor 3
Step-by-step explanation:
According to the Question,
Given That, triangles MNP and QRP are similar triangles, and side MN equals 16 in and QR equals 48 .Therefore, the scale factor of the dilation from triangle MNP to QRP is
Scale Factor = QR/MN ⇒ 48/16 ⇒ Scale Factor 3Among 1,200 Chinese tourists who are visiting Nepal,45 of them already visited India,40 have visited Pakistan and 15 have visited both the countries. Illustrate this information in a venn_diagram and How many tourists have not visited any of these two countries.
Answers
30 visited nepal only 25 visited Pakistan only. 15 tourists at the intersection of the two circles and 1130 have not visited either
Answer:
We're provided - Total number of Chinese tourist = 1200 i.e n ( U ) = 1200 , number of Chinese who visited India = 45 i.e n ( I ) = 45 , number of Chinese tourists who visited Pakistan = 40 i.e n ( P ) = 40 & number of tourist who have visited both Pakistan and India = 15 i.e n ( I ⋂ F ) = 15. We're asked to find out the number of tourist who have not visited any of these two counties i.e [tex] \tt{n( \overline{i \:⋃ \: f}) = 15}[/tex].[tex] \large{ \tt{✽ \: SOLUTION}} : [/tex]
[tex] \large{ ✺ \: \tt{n(U) = n(I) + n(P) - n(I ⋂\: P) + n \: ( \overline{I \:⋃ P }\: )}}[/tex]
[tex] \large{ \tt{⟹ \: 1200 = 45 + 40 - 15 + n \: ( \overline{ I \: ⋃ P})}}[/tex]
[tex] \large{ \tt{⟹1200 = 70 + n \: ( \overline{ I \:⋃ P)}}}[/tex]
[tex] \large{ \tt{⟹ \: 1200 - 70 = n \: ( \overline{I\: ⋃ \: P})}}[/tex]
[tex] \large{ \tt{⟹1130 = n \: ( \overline{I \: ⋃ \: P})}}[/tex]
Hence , 1130 Chinese tourists have not visited any of these two countries. [ See the attached picture for Venn diagram ]- Hope I helped! Let me know if you have any questions regarding my answer and also notify me , if you need any other help! :)
If f(x) = k where k is a constant, and the points (6,1) and (8,1) lie on the graph of y = f(x), what is the value of f(0)?
I think the answer is 1 but not 100% sure.
Answers
Answer:
The value of f(0)=1
Step-by-step explanation:
We are given that
[tex]f(x)=k[/tex]
[tex]y=f(x)[/tex]
(6,1) and (8,1) lies on the graph of y=f(x)
We have to find the value of f(0).
[tex]f(6)=1[/tex]
[tex]f(8)=1[/tex]
[tex]f(x)=k[/tex]
By comparing ,we get
k=1
Therefore, [tex]y=f(x)=1[/tex]
Now, substitute x=0
[tex]f(0)=1[/tex]
Hence, the value of f(0)=1
A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be needed??... Answer it
Answers
Answer:
1500
Step-by-step explanation:
The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,
[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]
And , the number of tiles required will be ,
[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]
Hence the required answer is 1500 .
A circle has a central angle of 6 rad that intersects an arc of length 14 inches. Which equation find the length of the radius, R, of the circle?
Answers
Answer:
Step-by-step explanation:
θ=l/r
where θ is central angle in degrees.
l=length of arc.
r=radius of circle.
6=14/r
6r=14
r=14/6=7/3 =2 1/3 inches.
the school is located 0.8 miles west of willows house the park is 1.5 miles north what is the distance between willows house and the park
Answers
Answer:
0.7
Step-by-step explanation:
1.5 - 0.8 = 0.7 :)) hope u get it right!!!
The distance between the school and the park will be 0.7 miles.
What is the distance?Distance is defined as the length between the two points just like in the question it is the length between the school and the park.
Given that:-
The school is located 0.8 miles west of willows house The park is 1.5 miles northThe distance will be calculated as:-
Distance = 1.5 - 0.8 = 0.7 miles
Therefore the distance between the school and the park will be 0.7 miles
To know more about distance follow
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Casey wants to buy a gym membership. One gym has a $150 joining fee and costs $35 per month. Another gym has no joining fee and costs $60 per month. When would Casey pay the same amount to be a member of either gym? How much would he pay?
Answers
Answer:
x=6
Step-by-step explanation:
150+35x=60x
-35x -35x
150= 25x
150+35x=60x
Then you would subtract 35x from both sides to get this.
150=25x
Last you would divide both sides by 25 to find x.
150/25=25x/25
6=x
So 6 months.
Then the easiest would be plug in the x value (6) in the 60x.
60(6)= 360
So $360 in 6 months.
80 divided by 1.94 ≈
Answers
Answer:
41.34
Step-by-step explanation:
80/1.94
= 41.34
what is the correct length and width for the rectangle?
Answers
Answer:
Length = 14
Width = 7
Step-by-step explanation:
Length of a rectangle is twice its width.
let, the width be x, so the length becomes 2x
now the perimeter is 42, and we know the formula to find the perimeter is 2(length+width)
so, 2(2x+x)=42
or, 2×3x=42
or, 6x=42
or, x=7
so the width is 7 and the length is, 2×7 = 14
Answered by GAUTHMATH
determine if 5yx - 17xy are like terms
Answers
Step-by-step explanation:
yes they are because they have the same variables which are X& Y
Answer:
5yx-7xy
they are like terms, it's all multiplication just a different arrangement
5xy-7xy=-2xy
Step-by-step explanation:
hope this is helpful
HELPP!
The functions f(x) and g(x) are described using the following equation and table:
f(x)=-4(1.09)x
Answers
Answer:
A: The y-intercept of f(x) is equal to the x-intercept of g(x)
Step-by-step explanation:
From the equation of f(x) given, we have;
f(x) = -4(1.09)^(x)
Now,the y-Intercept will be the point where x = 0.
Thus;
f(0) = -4(1.09)^(0)
f(0) = -4
Now,from the table given for g(x), we can see that at x = 0,g(x) = -4.
Thus,it means that the y-intercept of f(x) is equal to the x-intercept of g(x)
For the function G defined by G(x)=5x+3, find G(r+5)
Answers
Given function:
g(x) = 5x + 3Find
g(r+5)Substitute x with r = 5:
g(r + 5) = 5(r + 5) + 3 = 5r + 25 + 3 = 5r + 28
Answer:
G ( r + 5 ) = 5r + 28
Step-by-step explanation:
Given ;
G ( x ) = 5x + 3
To Find :-
G ( r + 5 )
Solution :-
plug r + 5 as x in the function.
G ( r + 5 ) = 5 ( r + 5 ) + 3distribute 5
G ( r + 5 ) = 5r + 25 + 3combine like terms
G ( r + 5 ) = 5r + 28What is the y-intercept of the line 10x - 5y = 40
Answers
10x - 5y = 40
-5y = -10x + 40 || : (-5)
y = 2x - 8
A certain forest covers an area of 3600km^2. Suppose that each year this area decreases by 6%. What will the area be after 8 years?
Answers
Answer:
= 1728km2
Step-by-step explanation:
From the formula A = PRT/100%
Where; A is final
P is initial
T is time taken
R is the rate
Therefore A = 3600 × (6/100) × 8
= 1728km2
what is the solution to log_5 (10x-1)=log_5 (9x+7)
a) x= 6/19
b) x= 8/19
c) x=7
d) x=8
Answers
Answer: D
To solve the equation we proceed as follows:
log5(10x-1)=log5(9x+7)
canceling out log5 we get:
(10x-1)=(9x+7)
solving for x we get:
10x-9x=7+1
x=8
thus the value of x=8
Step-by-step explanation:
it was on brainly already
Which of the following is an even function?
Answers
Answer:
thats right
Step-by-step explanation:
odd functions are ones you flip 180 degrees and get same thing but basically everything else (unless of course it has no symmetry such as sqrt x) should be even (even can also be thought of as bilateral symmetry)
Two triangles are similar. A side of one is 2 units long. The corresponding side of the other is 5 units long. What is the ratio of:
A) their perimeters?
B) their areas?
Answers
Answer:
b
Step-by-step explanation:
PLEASE HELP ASAP
In the diagram below, ΔABC ≅ ΔSTR. Complete the statement BC ≅
A. AC
B. TR
C. ST
D. SR
Answers
Answer:
a
Step-by-step explanation:
The complete statement is BC ≅ TR.
What is triangle theorem?In mathematics, the Pythagorean theorem, or Pythagoras' theorem, exists a fundamental relation in Euclidean geometry among the three sides of a right triangle. It expresses that the area of the square whose side exists the hypotenuse stands equivalent to the sum of the areas of the squares on the other two sides.
Using the similarity of triangle theorem BC ≅ TR
To learn more about triangle refer to:
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If g(x) = 2 |x| − 1, what is g(−2.3)?
Answers
Answer:
g(-2.3) = 3.6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
g(x) = 2|x| - 1
Step 2: Evaluate
Substitute in x [Function g(x)]: g(-2.3) = 2|-2.3| - 1Absolute values: g(-2.3) = 2(2.3) - 1Multiply: g(-2.3) = 4.6 - 1Subtract: g(-2.3) = 3.62 *| -2.3 | - 1 = 3.6
PLZ HELPPP!!! whoever answers first with a good answer ill mark as brainliest
Answers
This is because the nth term is found by adding the previous two terms
F(n) = nth term
F(n-1) = term just before the nth term
F(n-2) = term before the F(n-1) term
F(n) = F(n-1) + F(n-2)
We can re-index values of n to say this equivalent statement
F(n+2) = F(n+1) + F(n)
Based on either equation mentioned, adding F(51) and F(52) will get us F(53). In other words, the 51st and 52nd terms add to the 53rd term.
Factor 60 − 36w, to identify the equivalent expressions.
Answers
Step-by-step explanation:
60-36w6(10-6w)hope it helps
stay safe healthy and happy..Answer:
all of the answers are correct
Step-by-step explanation:
Find all solutions to the equation
in the interval [0, 21). Enter the
solutions in increasing order.
sin 2x = 2 sin x
x = [?],[1]
TT
Remember: sin 20 = 2 sin 0 cos 0
Answers
Answer:
[tex]x=0, \\x=\pi[/tex]
Step-by-step explanation:
Recall the trigonometric identity [tex]\sin 2x=2\sin x\cos x[/tex].
Therefore, given [tex]\sin 2x=2\sin x[/tex], rewrite the left side of the equation:
[tex]2\sin x\cos x=2\sin x[/tex]
Subtract [tex]\sin x[/tex] from both sides:
[tex]2\sin x\cos x-2\sin x=0[/tex]
Factor out [tex]2\sin x[/tex] from both terms on the left:
[tex]2\sin x(\cos x-1)=0[/tex]
We now have two cases:
[tex]\begin{cases}2\sin x=0, x=k\pi\text{ for }k\in \mathbb{Z}\\\cos x-1=0,x=k2\pi\text{ for }k\in \mathbb{Z}\end{cases}[/tex]
Since the problem stipulates that [tex]x[/tex] is in the interval [tex][0, 2\pi)[/tex], we have:
[tex]\text{For }x\in [0, 2\pi):\\\sin x=0\rightarrow \boxed{x=0, x=\pi}\\\cos x-1=0\rightarrow \boxed{x=0}[/tex]
Recall that square brackets mean inclusive and parentheses mean exclusive. Therefore, [tex]2\pi \notin [0, 2\pi)[/tex].
On the unit circle, which of the following angles has the terminal point
coordinates.
A. 45
B. 135
C. 225
D. 315
Answers
Answer: C. 225
Step-by-step explanation:
What is the product?
3 x 4/5
The product Write as an improper fraction is ?
the product written as a mixed number is 2 2/5.
Whats the anwser ?
Answers
Answer:
12/5 as an improper fraction
2 2/5 as a mixed number
Step-by-step explanation:
3 * 4/5
Rewriting the whole number as a fraction
3/1 * 4/5
Multiply the numerators
3*4 = 12
Multiply the denominators
1*5 =5
Numerator over denominators
12/5
Rewriting as a mixed number
5 goes into 12 2 times (2*5=10 12-10=2) with 2 left over
2 2/5
Solve the equation. Where necessary, indicate when the equation has no solution or is an identity.
5(2X + 8) - 5x = 5(5x + 6)
Answers
Answer:
x=0.5
Step-by-step explanation:
10x-40-5x=2x+30
5x+10=25x
10=20x
x=0.5
Order the steps and justifications in solving the system of linear equations. Equation 1: 4x+3y=8 Equation 2: −2x−3y=−4
Answers
Answer:
See explanation
Step-by-step explanation:
The two linear equations can be solved simultaneously;
4x+3y=8 -----(1)
−2x−3y=−4---(2)
If we multiply equation (1) by 1 and equation (2) by (2)
We have;
4x+3y=8 -----(3)
-4y - 6x = 4 ---(4)
Adding equation (3) and (4)
-3x = 12
x= -4
Substitute x = -4 into equation (1)
4(-4) + 3y = 8
-16 + 3y = 8
3y = 8 + 16
y= 24/3
y= 8
Hence;
x= -4 and y =8
not a school-related question:
Best places to get ripped jeans or just skinny/curvy jeans
Answers
Answer: I gotta say forever 21, American eagle, rue21, and Aeropostale.
Step-by-step explanation:
The weights of certain machine components are normally distributed with a mean of 8.04 g and a standard deviation of 0.08 g. Find the two weights that separate the top 3% and the bottom 3%. (These weights could serve as limits used to identify which components should be rejected)
Answers
Answer:
The bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.
Step-by-step explanation:
We are given that
Mean, [tex]\mu=8.04 g[/tex]
Standard deviation, [tex]\sigma=0.08g[/tex]
We have to find the two weights that separate the top 3% and the bottom 3%.
Let x be the weight of machine components
[tex]P(X<x_1)=0.03, P(X>x_2)=0.03[/tex]
[tex]P(X<x_1)=P(Z<\frac{x_1-8.04}{0.08})[/tex]
=0.03
From z- table we get
[tex]P(Z<-1.88)=0.03, P(Z>1.88)=0.03[/tex]
Therefore, we get
[tex]\frac{x_1-8.04}{0.08}=-1.88[/tex]
[tex]x_1-8.04=-1.88\times 0.08[/tex]
[tex]x_1=-1.88\times 0.08+8.04[/tex]
[tex]x_1=7.8896[/tex]
[tex]\frac{x_2-8.04}{0.08}=1.88[/tex]
[tex]x_2=1.88\times 0.08+8.04[/tex]
[tex]x_2=8.1904[/tex]
Hence, the bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.
Davion wants to buy 4 tickets to a basketball game. He sees that there is a discount for $25 off his entire purchase at checkout, so the tickets would cost him $215 before tax. What was the original price of each ticket?
Answers
Answer:
$60 per ticket
Step-by-step explanation:
$215 is what it costs after the discount, so add the amount taken off, back on.
215+25
240
Then, divide by 4 to find the cost of each individual ticket.
240/4
60
Hope it helps!
out of 1300 students in a school , only 60% passed . find the number of students failed .
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
520 students.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
60% of the 1300 students passed. This means that 40% of the students failed.
⸻⸻⸻⸻
[tex]1300 * 0.4= 520[/tex]
⸻⸻⸻⸻
520 students failed school.
⸻⸻⸻⸻
[tex]\boxed{\text{Another way to find this...}}\\\\\text{Take 60}\% \text{ of 1300:}\\\\1300 * 0.6 = 780\\\\\text{780 students passed school.}\\\\\text{Subtract 780 from 1300:}\\\\1300 - 780 = \boxed{520}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
