Explanation:
If the diagonals are congruent, then we'd have a rectangle. Any rectangle is a parallelogram, but not the other way around.
If we had a non-rectangular parallelogram, with none of the angles 90 degrees, then the diagonals will not be the same length.
Choices A, C and D are true for any parallelogram (rectangle or not).
This year, Carlos planted 6 more than one-third of the cucumber plants he planted last year. How many cucumber
plants did he plant this year if last year he planted 12 plants?
06
09
O 10
12
Answer:
10
Step-by-step explanation:
last year he planted 12.
1/3 of that is 12/3 = 4.
6 more than that is 4 + 6 = 10.
Answer: C.) 10
Step-by-step explanation:
Anybody please help me with question 3-5, thank you so much!!! You are a life saver :))))
Answer:
3) 109.27
4) 58.80
5) 48.65
Step-by-step explanation:
First divide the cost by the number of units to get the individual cost of each item.
Then multiply by the new number of units.
For example: 78.05 ÷ 5 = 15.61 for each.
15.61 x 7 = 109.27
x + 25 = 50 . Find the Value of x
Answer:
25
Step-by-step explanation:
x + 25 = 50
=> x = 50 - 25
=> x = 25
Answer:
x = 25
Step-by-step explanation:
x + 25 = 50
Solve for x;
x + 25 = 50Step 1 :- Move 25 to the right-hand side and change their sign.
x = 50 - 25Step 2 :- Subtract 25 from 50.
x = 25I need help bad? What’s the answer
Answer:
76°,60°
Step-by-step explanation:
sum of angles of a triangle=180
x+64+x+80+44=180
2x+188=180
2x=180-188=-8
x=-8/2=-4
so angles are -4+60=60°
and -4+80=76°
Helpppppppppppppppppppp
Answer:
[tex]( {4}^{3} \div {5}^{ - 2} {)}^{5} [/tex]
Step-by-step explanation:
[tex] {4}^{15} . {5}^{10} [/tex]
hope this will help you more
have a great day..
Step-by-step explanation:
[tex]( \frac{4 {}^{3} }{5 {}^{ - 2} } ) {}^{5 } \\ ( \frac{4 {}^{15} }{5 {}^{10} } ) \\ \frac{4 {}^{15} }{5 {}^{10} } [/tex]
Each of the digits 3, 4, 6, 7, 8, and 9 is used once and only once to form a six-digit integer. What is the largest six-digit multiple of 4 that can be formed
Answer:
987436Step-by-step explanation:
The number is divisible by 4 if the number formed by the last two digits is divisible by 4.
Since we are looking for the largest possible option, lets try 2-digit numbers formed by the given digits.
The smallest 2-digit number that is divisible by 4 is 36
Then the largest number is:
987436In a 45-45-90 right triangle, what is the ratio of the length of one leg to the length of the other leg?
Answer:
D) 1:1
Step-by-step explanation:
Mrs Nu paid $2083 for 2 smiler laptops and 3 similar earphones. Each laptop cost of each earphones?
Answer:
Step-by-step explanation:
The information given is incomplete :
Answer:
x = 1/2(2083 - 3y)
y = 1/3(2083 - 2x)
Step-by-step explanation:
Let
Laptop cost = x
Earpiece cost = y
Number of laptops= 2
Number of earpiece = 3
2x + 3y = $2083
The cost per laptop :
2x = 2083 - 3y
Divide both sides by 2
x = (2083 - 3y) / 2
x = 1/2(2083 - 3y)
Or
3y = 2083 - 2x
y = (2083 - 2x) / 3
y = 1/3(2083 - 2x)
As x increases by 1 unit, what is the exponential growth factor??
Given:
The graph of an exponential function.
To find:
The exponential growth factor as x increases by 1 unit.
Solution:
From the given graph, it is clear that the exponential function passes through the points (1,1) and (3,9). So, the equation of the exponential must must be satisfy by these points.
The general exponential function is:
[tex]y=ab^x[/tex] ...(i)
Where, a is the initial value and b is the growth factor.
Putting [tex]x=1,y=1[/tex] in (i), we get
[tex]1=ab^1[/tex] ...(ii)
Putting [tex]x=3,y=9[/tex] in (i), we get
[tex]9=ab^3[/tex] ...(iii)
Divide (iii) by (ii).
[tex]\dfrac{9}{1}=\dfrac{ab^3}{ab}[/tex]
[tex]9=b^2[/tex]
[tex]3=b[/tex]
b is the the growth factor and the value of b is 3.
Therefore, the exponential growth factor is 3 as x increases by 1 unit.
Answer:
exponential growth factor is 3
Step-by-step explanation:
Express the following the number indecimal
form - 25
36
Answer:
0.6944
Step-by-step explanation:
25/36 is 0.6944 in division
John read 10 books in 12 months. What was his rate of reading in months per book?
Answer:
1.2 books per month
12/10
Step-by-step explanation:
Một lô hàng chứa rất nhiều sản phẩm, trong đó tỷ lệ sản phẩm loại tốt là 70%. Chọn ngẫu nhiên từ lô hàng ra 5 sản phẩm. Gọi X là số sản phẩm tốt có trong 5 sản phẩm chọn ra: a. Hãy tìm bảng phân phối xác xuất b. Xác định kỳ vọng và phương sai của X c. Tìm số sản phẩm tốt được lấy ra có khả năng xảy ra nhiều nhất
Answer:
lâp bảng
Step-by-step explanation:
X=0 thì xác suất lấy ra được sản phẩm tốt là 5*30%=1,5%
X =1 thì xác suất lấy ra được là 1* 70%*4*30%=0,84%
X=2 thì xác suất lấy ra được sản phẩm tốt là 2*70%*3*30%=1,26%
X=3 thì xác suất lấy ra được sản phẩm tốt là 3*70%*2*30%=1,26%
X=4 thì xác suất lấy ra được sản phẩm tốt là 4*70%*1*30%=0,84%
X=5 thì xác suất lấy ra được sản phẩm tốt là 5*70%=3,5%
X 0 1 2 3 4 5
P 1,5 0,84 1,26 1,26 0,84 3,5
b,
E(x)= 1,5*0+ 0,84*1+1,26*2+1,26*3+0,84*4+3,5*5=28
E(x^2)=1,5*0^2+0,84*1^2+1,26*2^2+1,26*3^2+0,84*4^2+3,5*5^2=118,16
===> V(x)= (E(x))^2-E(x^2)=28^2-118,16=665,84
what is the length of segment QV ?, NO LINKS.
Answer:
44 units
Step-by-step explanation:
TS = TQ
2x + 8 = 40
2x = 32
x = 16
QV = SV
QV = 3x - 4
QV = 3(16) - 4
QV = 48 - 4
QV = 44
which expression is equivalent to
Answer:
B.
Step-by-step explanation:
(working backwards to explain)
[tex]\sqrt{5g^5h^2} \\\\\\h\sqrt{5g^5}\\\\\\g^2h\sqrt{5g}[/tex]
lic/activity/6000001/assessment
1 Pretest: Unit 6
Question 1 of 21
What is the domain of the exponential function shown below?
Rx) = 5.3x
Given:
The exponential function is:
[tex]R(x)=(5.3)^x[/tex]
To find:
The domain of the given exponential function.
Solution:
We know that the general form of an exponential function is:
[tex]f(x)=ab^x[/tex]
Where, a is the initial value and b is growth/decay factor.
This function is defined for all real values of x, so the domain of these type of functions is the set of all real number.
We have,
[tex]R(x)=(5.3)^x[/tex]
Here, a is 1 and b is 5.3. This function is defined for all real values of x
Therefore, the domain of these type of functions is the set of all real number or it can be written as [tex](-\infty,\infty)[/tex].
PLEASE HELP MEEEEEEE
Answer:
7
Step-by-step explanation:
Here we have the hypotonouse and an angle
we are looking for the side opposite to the angle
this means we should use SOH
sin(26)=(x/16)
16*sin(26)=x
x=7.01393
which is closest to 7
Find sin 0. Please and thank you
Answer:
the correct answer is C....I hope
Find all possible values of α+
β+γ when tanα+tanβ+tanγ = tanαtanβtanγ (-π/2<α<π/2 , -π/2<β<π/2 , -π/2<γ<π/2)
Show your work too. Thank you!
Answer:
[tex]\rm\displaystyle 0,\pm\pi [/tex]
Step-by-step explanation:
please note that to find but α+β+γ in other words the sum of α,β and γ not α,β and γ individually so it's not an equation
===========================
we want to find all possible values of α+β+γ when tanα+tanβ+tanγ = tanαtanβtanγ to do so we can use algebra and trigonometric skills first
cancel tanγ from both sides which yields:
[tex] \rm\displaystyle \tan( \alpha ) + \tan( \beta ) = \tan( \alpha ) \tan( \beta ) \tan( \gamma ) - \tan( \gamma ) [/tex]
factor out tanγ:
[tex]\rm\displaystyle \tan( \alpha ) + \tan( \beta ) = \tan( \gamma ) (\tan( \alpha ) \tan( \beta ) - 1)[/tex]
divide both sides by tanαtanβ-1 and that yields:
[tex]\rm\displaystyle \tan( \gamma ) = \frac{ \tan( \alpha ) + \tan( \beta ) }{ \tan( \alpha ) \tan( \beta ) - 1}[/tex]
multiply both numerator and denominator by-1 which yields:
[tex]\rm\displaystyle \tan( \gamma ) = - \bigg(\frac{ \tan( \alpha ) + \tan( \beta ) }{ 1 - \tan( \alpha ) \tan( \beta ) } \bigg)[/tex]
recall angle sum indentity of tan:
[tex]\rm\displaystyle \tan( \gamma ) = - \tan( \alpha + \beta ) [/tex]
let α+β be t and transform:
[tex]\rm\displaystyle \tan( \gamma ) = - \tan( t) [/tex]
remember that tan(t)=tan(t±kπ) so
[tex]\rm\displaystyle \tan( \gamma ) = -\tan( \alpha +\beta\pm k\pi ) [/tex]
therefore when k is 1 we obtain:
[tex]\rm\displaystyle \tan( \gamma ) = -\tan( \alpha +\beta\pm \pi ) [/tex]
remember Opposite Angle identity of tan function i.e -tan(x)=tan(-x) thus
[tex]\rm\displaystyle \tan( \gamma ) = \tan( -\alpha -\beta\pm \pi ) [/tex]
recall that if we have common trigonometric function in both sides then the angle must equal which yields:
[tex]\rm\displaystyle \gamma = - \alpha - \beta \pm \pi [/tex]
isolate -α-β to left hand side and change its sign:
[tex]\rm\displaystyle \alpha + \beta + \gamma = \boxed{ \pm \pi }[/tex]
when is 0:
[tex]\rm\displaystyle \tan( \gamma ) = -\tan( \alpha +\beta \pm 0 ) [/tex]
likewise by Opposite Angle Identity we obtain:
[tex]\rm\displaystyle \tan( \gamma ) = \tan( -\alpha -\beta\pm 0 ) [/tex]
recall that if we have common trigonometric function in both sides then the angle must equal therefore:
[tex]\rm\displaystyle \gamma = - \alpha - \beta \pm 0 [/tex]
isolate -α-β to left hand side and change its sign:
[tex]\rm\displaystyle \alpha + \beta + \gamma = \boxed{ 0 }[/tex]
and we're done!
Answer:
-π, 0, and π
Step-by-step explanation:
You can solve for tan y :
tan y (tan a + tan B - 1) = tan a + tan y
Assuming tan a + tan B ≠ 1, we obtain
[tex]tan/y/=-\frac{tan/a/+tan/B/}{1-tan/a/tan/B/} =-tan(a+B)[/tex]
which implies that
y = -a - B + kπ
for some integer k. Thus
a + B + y = kπ
With the stated limitations, we can only have k = 0, k = 1 or k = -1. All cases are possible: we get k = 0 for a = B = y = 0; we get k = 1 when a, B, y are the angles of an acute triangle; and k = - 1 by taking the negatives of the previous cases.
It remains to analyze the case when "tan "a" tan B = 1, which is the same as saying that tan B = cot a = tan(π/2 - a), so
[tex]B=\frac{\pi }{2} - a + k\pi[/tex]
but with the given limitation we must have k = 0, because 0 < π/2 - a < π.
On the other hand we also need "tan "a" + tan B = 0, so B = - a + kπ, but again
k = 0, so we obtain
[tex]\frac{\pi }{2} - a=-a[/tex]
a contradiction.
HELPPP
___
Thank you
Answer:
11.0.0035
12.39×10^-4
13.)0.00031
14.59800
15.3.6×10^9
Step-by-step explanation:
find all two digit numbers with the following property:the difference between the number and the number with the same digits in reverse order is 54
answer
71-17=54
82-28=54
93-39=54
60-06=54
Step-by-step explanation:
BRAINLEST IF CORRECT!!!!which of the d-values satisfy the following inequality? d/5>4
Answer:
d = 25
Step-by-step explanation:
[tex]\frac{d}{5} >4[/tex]
The value of d has to satisfy the inequality
so replace d with one of the given options
[tex]\frac{25}{5} >4[/tex]
We have to simplify the fraction first
[tex]\frac{25}{5} =5>4[/tex]
Find x. Round your answer to the nearest hundredth
Answer:
5.86
Step-by-step explanation:
Answer:
x = 5.86
Step-by-step explanation:
x / 15 = cos67°
x = 15cos67°
x = 5.86
Adrian is putting streamers across the ceiling of his dining room to decorate for his nephew’s birthday party. The ceiling is rectangular. Its area is 122.5 square feet, and its width is 7 feet. How long should Adrian cut a streamer that will run the length of the ceiling?
Answer: hello there here is your answer:
17.5 feet
Step-by-step explanation:
Area of rectangle = Length x Width
Length = Area/Width = 122.5 / 7 = 17.5 feet
hope this helps
have a god day bye
A fire extinguisher releases 27/4  liters of carbon dioxide in 9/16 minutes what is the speed in terms of liters per minute
Answer:
12 liters per min
Step-by-step explanation:
Math
27/4 = x
9/16 1
27/4=(9/16)x
Divide both sides by 9/16
12=x
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
8 cm and 9 cm
Answer:
8 cm and 9 cm
Step-by-step explanation:
Hi there!
The sum of the lengths of two sides of a triangle must always be greater than the length of the third side.
5 cm and 8 cm ⇒ 5+8=13; not greater than 13
6 cm and 7 cm ⇒ 6+7=13; not greater than 13
7 cm and 2 cm ⇒ 7+2=9; not greater than 13
8 cm and 9 cm ⇒ 8+9=17; greater than 13
Therefore, the last set of two sides is possible for the lengths of the the other two sides of this triangle.
I hope this helps!
Determining the domain and range from a graph
Answer:
Domain = (-∞, ∞)Range = [-2, ∞)Explanation:
There are no restrictions are the domain; it can be any real number.There are no y-values less than -2, meaning the range of y-values must all be greater than or equal to -2, since -2 is the minimum value.What is Write down the equation of the perpendicular line to y=3x+3?
Answer:
[tex]gradient = - \frac{1}{3} \\ { \tt{equation \: is \: y = - \frac{1}{3}x + 3 }}[/tex]
Answer:
The equation of a perpendicular line to
y =( -1/3 )x+b (b is a normal number)
Step-by-step explanation:
1.Use the slope-intercept form to find the slope.
Tap for more steps...
m = 3
2. the perpendicular line to y=3x+3
must have a slope that is the negative reciprocal of the original slope.
thus,
m perpendicular = −1/3
express 8cm as fraction of 2metres.
Answer:
4/200 is the answer
Use two unit multipliers to convert 36 inches to miles.
Answer:
36 inches = 0.000568182 miles
HURRY I NEED HELP. ASAP.
What are the coordinates of the quadrilateral STUV when reflected over the X-axis.
S(3,4), T(3,1), U(-2,1, V(-2,4)
Step-by-step explanation:
here is the answer friend