true or false,the diagonal of a rectangle is longer than any of its sides. I want the answer with explanation If u don't I will report
Answers
Answer:
True
Step-by-step explanation:
Yes! The diagonal of a rectangle is longer than any of its sides.
Consider PQRS as a rectangle. It is known to us that each interior angle of a rectangle measures 90°. Now, after making the diagonal of the rectangle PQRS, the rectangle has been split into 2 right-angled triangles i.e, ∆PRS and ∆RPQ. In the right angled triangle, hypotenuse is always the longest side. Here, in ∆PRS and ∆RPQ, the bases are RS and QP ; perpendiculars are PS and QR and both triangles' hypotenuse is PR. As, hypotenuse is always the longest side, so PR will be longer than RS,QP,PS and QR. Clearly, the diagonal of a rectangle is longer than any of its sides.
Related Questions
(not really a math problem) I have a 125 gallon tank, 5ft long and 6ft in circumfrence 3 inches of fuel in the tank how much gallons is that ` - `
Answers
Answer:
6.25 gallons
Step-by-step explanation:
If 125 gallon tank in equivalent to 5ft
1 foot is equal to 12inches...
5 ft ×12 =60 inches
So 125 gallon tank= 60 inches
If 60 inches = 125 gallon
3 inches = 125 × 3 / 60
= 375/60
= 6.25 gallons
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)
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:
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 .
According to the number line, what is the distance between points A and B?
0 6 units
7 units
O 12 units
O 14 units
Answers
Answer:
14 units
Step-by-step explanation:
A = - 2, B = 12
Therefore,
d(A, B) = 12 - (-2) = 12 + 2 = 14 units
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.
The perimeter of the rectangle below is 46 units. Find the length of side AB.
Write your answer without variables.
D
3x - 2
AB = 0
х
$
?
A
2x
B
Answers
Ax
B
Step-by-step explanation:
.....
...
..
asap answer pls -------------------
Answers
Answer:
f(2) = - 5
Step-by-step explanation:
Using the recursive rule and f(1) = - 3 , then
f(2) = 2f(1) + 1 = 2 × - 3 + 1 = - 6 + 1 = - 5
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
During his lunch hour, Matt asked 24 students how many after-school activities they participated in. This list shows the survey results.
Answers
Answer:
[tex]Ratio = 1 : 6[/tex]
Step-by-step explanation:
Given
[tex]n = 24[/tex]
Results:
[tex]1, 2, 0, 0, 3, 2, 4, 2, 1, 4, 3, 2[/tex]
[tex]1, 1, 2, 1, 0, 3, 3, 2, 4, 1, 1, 0[/tex]
Required
Ratio of students not participating to all students
Students not participating are represented with 0;
So, we have:
[tex]n(0)= 4[/tex]
The ratio is then calculated as:
[tex]Ratio = n(0) : n[/tex]
[tex]Ratio = 4 : 24[/tex]
Divide by 4
[tex]Ratio = 1 : 6[/tex]
Which of the following expressions are equivalent to (x+y)-(-z)
Choose all answers that apply:
A. (x+y)-z
B. x+(y+z)
C. none of the above
Answers
Answer:
B
Step-by-step explanation:
(x+y)-(-z)
=(x+y)-(-z)
=(x+y)+z
=x+(y+z)
please help!!!
Simplify
3+ 7 X 4
Answers
Answer:
31
Step-by-step explanation:
[tex]3+7[/tex] × 4 Multiply first
3 + 28 Then add
31
Step 1: Rewrite equation
To start off, I find it helpful to rewrite the equation, in order to better understand the problem we will be solving.
3+7×4
Step 2: Solve using PEMDAS
To solve the equation, we will be using PEMDAS. Remember that we must solve in the correct sequence. In order of operations, p stands for parentheses, e stands for exponents, m stands for multiplication, d stands for division, a stands for addition, and s stands for subtraction. The only two shown in this equation are multiplication and addition. As per the order in PEMDAS, let’s multiply first and then add.
3+7×4
3+28
31
31 is your answer. Hope this helps! Comment below for more questions.
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!
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 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
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.
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
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)
Suppose Ax = b always has at least one solution no matter what b is. Why AT y = 0 has only the trivial solution y = 0?
Answers
Answer:
For the first equation we have:
A*x = b
solving for x, we get:
x = b/A
If it always has a solution, then we can not have A = 0, because that causes an undefined operation.
so for example, if we have A = 1 and b = 2
x = b/A = 2/1
For the other case,
A*y = 0
dividing both sides by A
y = 0/A = 0
y = 0
Here we have only one possible solution, the trivial one, y = 0.
And the dependence on A disappears (because the quotient between zero and a number different than zero is always zero)
What is the area of this figure? Enter your answer in the box.
Answers
Answer:
Step-by-step explanation:
33
Among 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! :)
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:
Find the cost of 5 Kgs of apples using the data given in the graph.
Answers
Answer: 2.50 dollars
Explanation:
Locate 5 on the x axis, which corresponds to buying 5 kgs of apples.
Draw a vertical line through 5 on the x axis until you reach the blue line. Mark this as point P.
From point P, draw a horizontal line until you reach the y axis. You should arrive at y = 2.5
This tells us that buying x = 5 kgs of apples will cost a total of y = 2.50 dollars.
What is the y-intercept of the line 10x - 5y = 40
Answers
10x - 5y = 40
-5y = -10x + 40 || : (-5)
y = 2x - 8
Which expression is equivalent to c+c - 7c?
7с
1- 6c
-5c
c- 6
Answers
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{Variables by itself with no number with it is understood as an invisible}\\\large\textsf{1}[/tex]
[tex]\huge\textsf{c + c - 7c}[/tex]
[tex]\huge\textsf{= 1c + 1c - 7c}[/tex]
[tex]\huge\text{COMBINE the LIKE TERMS}[/tex]
[tex]\large\textsf{= (1c + 1c - 7c)}[/tex]
[tex]\large\textsf{1c + 1c = \bf 2c}[/tex]
[tex]\large\textsf{= 2c - 7c}[/tex]
[tex]\large\textsf{= \bf -5c}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \underline{Option C. \bf -5c}}}}\huge\checkmarl[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
C+c-7c2c-7c(2-7)C-5Cwhat 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
ANSWER PLZ ILL GIVE BRAINLIEST FIRST PERSON WHO ANSWER IM BEGGING
Answers
Answer:
The slope is 9.
Step-by-step explanation:
Answer:
Slope = 9
Step-by-step explanation:
Slope intercept form is y = mx +b (where m is slope and b is y intercept).
Here, m= 9 (slope) and b=0 (y intercept)
the volume of a swimming pool is 4x^3 - 20x^2 + 3x - 15 . what is one of the dimensions of the pool
Answers
Answer:
[tex]Height = x - 5[/tex] --- one of the dimension
Step-by-step explanation:
Given
[tex]Volume = 4x^3 - 20x^2 + 3x - 15[/tex]
Required
The side dimension
Factorize the given expression
[tex]Volume = 4x^2 (x- 5) + 3(x - 5)[/tex]
Factor out x - 5
[tex]Volume = (4x^2 + 3)(x - 5)[/tex]
Volume is the product of base area and height'
Hence:
[tex]Area = 4x^2 + 3[/tex]
[tex]Height = x - 5[/tex]
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 3The 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.
