Perimeter of the parallelogram = 2( length + breadth)
Solution :-Let the length and breadth be 5x and 3x
2(5x + 3x) = 48cm
2(8x) = 48cm
x = 48/16
x = 3cm
Length = 5x = 5×3cm = 15cm
Breadth = 3x = 3×3cm = 9cm
We know that,
In parallelogram Opposite sides are equal
Hence, The sides of the Parallelogram are 15cm, 9cm, 15cm and 9cmHere is a triangle with some right triangles in it
Which triangles are similar to AED
Find the length of segment FA (Ef is 8 units and ED is 10 units)
Answer
5.33 units
Step-by-step explanation:
uh kakis
Evaluate the expression if p = 1, r= -7, and s = -2.
-3p-2r
6+4s
PLEASE HURRY!!! THANK YOU
Answer:
-5 1/2
The first one is right.
Step-by-step explanation:
k12 right ?
The solution of the given expression if p = 1, r= -7, and s = -2 will be; -5 and 1/2
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
WE have been given an expression as
-3p-2r / 6+4s
We have to substitute the value p = 1, r= -7, and s = -2 to find the solution.
Plug the values;
-3p-2r / 6+4s
-3 (1) -2 (-7) / 6+4(-2)
-3 + 14 / 6 - 8
11 / -2
Hence, the solution of the given expression if p = 1, r= -7, and s = -2 will be; -5 and 1/2
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the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? Then round to the nearest tenth as needed .)
Answer: h = 14.5 ft
Step-by-step explanation: Since it is given angles and side and it wants a side, let's use Law of Sines, which is formulated as
[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]
i.e., the ratio of a side and the sin of its opposite angle is constant.
So, for this triangle, height is
[tex]\frac{sin46}{h} =\frac{sin44}{14}[/tex]
[tex]h=\frac{14sin46}{sin44}[/tex]
[tex]h=\frac{10.07}{0.69}[/tex]
h = 14.51
Height of the main sail rounded to the nearest tenth is 14.5 ft.
What is the radius of a sphere with a volume of 3026 cm ^3, to the nearest tenth of a centimeter?
Answer:
[tex]r=9.0\:\mathrm{cm}[/tex]
Step-by-step explanation:
The volume of a sphere is given as [tex]\frac{4}{3}r^3\pi[/tex]. Therefore we have the following equation:
[tex]\frac{4}{3}r^3\pi=3026,\\r^3=\frac{3}{4}\cdot\frac{3026}{\pi},\\r^3=722.40428,\\r=\sqrt[3]{722.40428},\\r\approx \fbox{$9.0\:\mathrm{cm}$}[/tex].
Rounding this to the nearest tenth of a centimeter, the radius of the sphere is approximately 14.0 cm.
What is volume?Volume refers to the amount of space occupied by an object or substance. In mathematics, it is usually measured in cubic units (e.g. cubic meters, cubic centimeters).
The volume of an object can be calculated using its dimensions and specific formulas that depend on the shape of the object.
For example, the volume of a cube is calculated by multiplying its length, width, and height, while the volume of a sphere is calculated using the formula [tex](4/3)\pi r^3[/tex], where r is the radius of the sphere.
The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.
We can rearrange this formula to solve for r:
r = [tex](3V/4\pi)^{(1/3)[/tex]
Substituting the given volume V = 3026 [tex]cm^3[/tex], we get:
r = [tex](3(3026)/(4\pi))^{(1/3)[/tex] ≈ 14.0 cm
Thus, the radius of the sphere is approximately 14.0 cm, rounded to the nearest tenth of a centimetre.
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please help me with this
Answer:
its A :)
Step-by-step explanation:
If triangle ABC ~ DEC, find x and the scale factor of ABC to DEC
The value of x from the figure is 4
Similar triangleFrom the figure given we are told that ABC ~ DEC. Hence to get the value of x we will use the relationship shown;
25/3x-2 = 20/2xCross multiply
25(2x) = 20(3x - 2)
50x = 60x - 40
50x - 60x =-40
-10x = -40
x = 4
Hence the value of x from the figure is 4
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Cydni is working with some algebra tiles at her desk. She makes groups of tiles like the ones below. Which expressions represent the sum of the tiles that Cydni has arranged on her desk? help
Answer:
3x+9
Step-by-step explanation:
If it’s multiple choice the other one is
x +1+1+1+x +1+1+1+ x +1+1+1
I hope this helps!
The value of computer decreases with its age until it is worth nothing a computer that was purchases new for 0 years is worth 2220 1540 after 6 years problem whats the value after 8 years and what is the linear function V(x)
Answer:
[tex]V(x) = -\frac{340}{3}x +2220[/tex]
[tex]V(8) = 1313.3[/tex]
Step-by-step explanation:
Given
Let x represent years and V represents the value.
So, we have:
[tex](x_1,v_1) = (0,2220)[/tex]
[tex](x_2,v_2) = (6,1540)[/tex]
Solving (a): The linear function
First, we calculate the slope (m)
[tex]m = \frac{v_2 - v_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{1540-2220}{6-0}[/tex]
[tex]m = \frac{-680}{6}[/tex]
[tex]m = -\frac{340}{3}[/tex]
The linear function is calculated using:
[tex]v - v_2 = m(x - x_2)[/tex]
Where:
[tex](x_2,v_2) = (6,1540)[/tex]
[tex]m = -\frac{340}{3}[/tex]
So, we have:
[tex]v - 1540 = -\frac{340}{3}(x - 6)[/tex]
Open bracket
[tex]v - 1540 = -\frac{340}{3}x +\frac{340}{3}* 6[/tex]
[tex]v - 1540 = -\frac{340}{3}x +680[/tex]
Make v the subject
[tex]v = -\frac{340}{3}x +680+1540[/tex]
[tex]v = -\frac{340}{3}x +2220[/tex]
So, the function is:
[tex]V(x) = -\frac{340}{3}x +2220[/tex]
Solving (b): When x = 8
Substitute 8 for x in [tex]V(x) = -\frac{340}{3}x +2220[/tex]
[tex]V(8) = -\frac{340}{3}*8 +2220[/tex]
[tex]V(8) = -\frac{340*8}{3} +2220[/tex]
[tex]V(8) = -\frac{2720}{3} +2220[/tex]
Take LCM
[tex]V(8) = \frac{-2720+2220*3}{3}[/tex]
[tex]V(8) = \frac{-2720+6660}{3}[/tex]
[tex]V(8) = \frac{3940}{3}[/tex]
[tex]V(8) = 1313.3[/tex]
Hence, its value after 8 years is 1313.3
The hypotenuse of a right triangle is 25 cm, and the shorter leg is 15 cm. Find the length of the other leg.
a.12 √5 cm
b.✓ 10 cm
c.20 cm
Use the Pythagorean theorem
a^2 + b^2 = c^2
a^2 + 15^2 = 25^2
a^2 + 225 = 625
a^2 = 400
a = 20
Answer: 20 cm
Hope this helps!!
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what is the square root of 1225,1764,11025
35, 42, 105 respectively
Answer:
32, 42, 105
Step-by-step explanation:
(32)^2 = 32×32
= 1225
(42)^2 = 42×42
= 1764
(105)^2 = 105×105
=11025
pls help and SHOW WORKINGS
It due ASAP
Answer:
Any real number strictly larger than 9 and strictly less than 21.
Step-by-step explanation:
By triangle inequality, the sum of the lengths of any two sides are greater than the length of the third side.
We therefore could set up three inequalities.
x+6>15, x+15>6, 15+6>x
Solving these, we get x>9, x>-9, x<21 i.e. 9 < x < 21.
Mia and holly can clean their room in 20 minutes, working together. Working alone, mia can clean the room in 30. How long would it take holly to clean alone?
Answer: Holly would take 60 minutes to clean alone.
Step-by-step explanation:
Let t = Time taken by Holly to clean alone.
Given: Time taken by Mia to clean alone = 30 minutes
Time taken by Mia and holly to clean their room = 20 minutes
Then,
[tex]\dfrac1t+\dfrac{1}{30}=\dfrac{1}{20}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{20}-\dfrac{1}{30}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3-2}{60}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{60}\\\\\Rightarrow\ t= 60[/tex]
Hence, Holly would take 60 minutes to clean alone.
Can someone help me
Answer:
9 mi.
Step-by-step explanation:
sorry if i get it wrong ):
Answer:
15/3 equals 5
5 inches
Step-by-step explanation:
Re-write the quadratic function below in Standard form
Y= −3(x+1)(x−3)
Answer:
Y=−3x2+6x+9
Step-by-step explanation:
a student buys (x) fashion magazines and (y) sports magazines. Each fashion magazine costs $2.00 and each sports magazine costs $1.60. If the student buys a total of 8 magazines for $14.00, which equation best represents the situtation
Answer:
Step-by-step explanation:
the student buys a total of 8 magazines for $14.00
x+y = 8
x = 8-y
2x+1.6y = 14
2(8-y)+1.6y = 14
16-2y+1.6y = 14
16-0.4y = 14
0.4y =16-14 = 2
y = 2/0.4 = 5
x = 8-y = 3
The correct equation best represents the situation is,
⇒ x + y = 8
And, 2x + 1.60y = 14.00
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A student buys (x) fashion magazines and (y) sports magazines.
And, Each fashion magazine costs $2.00 and each sports magazine costs $1.60.
Here, The student buys a total of 8 magazines for $14.00.
Hence, We can formulate;
⇒ x + y = 8
And, 2x + 1.60y = 14.00
Thus, The correct equation best represents the situation is,
⇒ x + y = 8
And, 2x + 1.60y = 14.00
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I'll give you brainlist if u help :)A certain culture of yeast increases by 50% every three hours. A scientist places 9 grams of the yeast on a culture dish. write the explicit and recursive formulas for the geometric sequences formed by the growth of the yeast.
Answer:
pleasee reply me ...
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also h*t and s**y ..
Answer:
plz mark me as a brainelist
hope it helps you
16/19 as a decimal rounded to the nearest tenth
Answer:
0.8
Step-by-step explanation:
that's the decimal.
Answer:
0.8
Step-by-step explanation:
10z + 3 =9z solve for z
Answer:
z=-3
Step-by-step explanation:
Step 1: Subtract 9z from both sides.
Step 2: Subtract 3 from both sides.
A soccer field is 100 meters long. What could be its length in yards? 33.3 91 100 109 Explain your thinking.
awnser photo quick please #8
Jennifer's bill for lunch was $15.00
If Jennifer left a 20% tip, which proportion would BEST represent how to find how much tip she should leave?
Answer:
the answer is $3
Step-by-step explanation:
I just looked it up lol
*. John pulled a black sock from his drawer. He has 5 black socks, 4 navy socks, and 6 brown socks left in the drawer. He picks another sock at random. What is the probability it matches the black one? A.1/6 C. 1/3 B. 1/5 D. 1/2
Answer:
C
Step-by-step explanation:
2x – 5 = 7 to 2x = 12 What property of equality was used?
Property of Addition and division.
Using the sum of the angle measures of a triangle, m angleC=?
Answer:
m∠C = 66°
Step-by-step explanation:
Given
m∠ A = 33°
m∠ B = 81°
To determine
m∠C = ?
We know that sum of angles of a triangle is 180°.
so using the equation
m∠ A + m∠ B + m∠C = 180°
substituting m∠ A = 33°, and m∠ B = 81° in the equatio
33° + 81°+m∠C= 180°
114° + m∠C = 180°
m∠C = 180° - 114°
m∠C = 66°
Therefore,
m∠C = 66°make x the subject. 4x-5=t(x+m)
Answer:
x= tm+5/4-t
Step-by-step explanation:
4x-5=t(x+5)
4x-5-=tx+tm distributive
4x-5-tx=tm substract tx from both sides
4x-tx=tm+5 add 5 to both sides
x * 4+ x(-t) =tm+5 factor x out 4x-tx
x(4-t)=tm+5 factor x out x*4 + x(-t)
x(4-t)/4-t= tm/4-t+ 5/4-t divide each term in 4-t
x= tm/4-t + 5/4-t combine the numerators over the common denominator
x=tm+5/4-t
Which percentage is the same as 3.21
Answer:
321%
Step-by-step explanation:
hope I helped Kkkkkkkk
Factor completely:
x^2-x^2-3.5(x+y)
Answer:
− 3.5 ( x + y )
Hope this helps
Step-by-step explanation:
Answer:
− 3.5 ( x + y )
brainest please
Step-by-step explanation:
or answer the question
do you have microsoft account if yes
i can invite you to microsoft reward
i just realy want make friend here
What is the equation of the line represented by the data in the table
Answer: y = -1/2x - 1
please help me !!!!
Flying against the wind , an airplane travels 3660 kilometers in 6 hours. flying with the wind , the same plane travels 3800 kilometers in 4 hours. what is the rate of the plane in still air and what is the rate of the wind?
Answer:
...
against the wind, an airplane travels 3640 km in 7 hours.
with the wind, the same plane travels 6000 km in 6hrs.
...
let speed of plane in still air be x mph
speed of wind be y mph.
..
t=d/r
..
against wind speed = x-y mph
with wond speed = x=y mph
...
3640/(x-y)=7
3640 = 7x-7y
/7
520=x-y.....................1
...
6000/x+y = 6
6000 = 6x+6y
/6
1000=x+y.....................2
...
Add (1) & (2)
2x=1520
/2
x=760 mph speed of plane in still air
...
plug value of x in 2
1000=760+y
100-760=y
240 = y
240 mph speed of wind
I NEED HELP ASAP
Write an equation in point-slope form with the given characteristics Passes through (1,8) and (-2,3)
Answer:
[tex]y - 8 = \frac{5}{3}(x - 1)[/tex]
Step-by-step explanation:
1) Use the slope formula, [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex], and the given points to find the slope. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line must intersect, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line must also intersect:
[tex]\frac{(3)-(8)}{(-2)-(1)}[/tex]
= [tex]\frac{-5}{-3}[/tex]
= [tex]\frac{5}{3}[/tex]
2) Using the point-slope formula, [tex]y-y_1 = m (x - x_1)[/tex], use the slope you just calculated and substitute it for m. Choose any of the two points given (I chose (1,8)) and substitute its x and y values for [tex]x_1[/tex] and [tex]y_1[/tex]. Don't worry, the equation of the line is the same no matter which point you choose (unless the question specifies which one you need to choose):
[tex]y - 8 = \frac{5}{3}(x - 1)[/tex]
