The perimeter of parallelogram ABCD is 96cm. AD is 9 cm more than twice AB. Find the lengths of all four sides of ABCD.

Answers

Answer 1

Answer: [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]

Step-by-step explanation:

Given

ABCD is a parallelogram

Side AD is 9 cm more than twice AB i.e.

[tex]AD=9+2AB[/tex]

Also, for parallelogram

[tex]\Rightarrow AB=CD,BC=CD[/tex]

Perimeter is the sum of the sides

[tex]\therefore AB+BC+CD+AD=96\\\Rightarrow AB+AD+AB+AD=96\\\Rightarrow AB+AD=48\\\\\text{Substitute the value of AD}\\\Rightarrow AB+9+2AB=48\\\Rightarrow 3AB=39\\\Rightarrow AB=13[/tex]

So, [tex]AD=35\ cm[/tex]

Thus, [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]

Answer 2

Answer: AB=11

AD=31

BC=31

CD=11

Step-by-step explanation:


Related Questions

Consider the functiony = 3x^5 - 25x^3 + 60x+ 1. Use the first derivative test to decide whether this function has a maximum at x = 1. Which of the following describes what you found?

A. The derivative is positive to the left of x = 1 and positive to the right of x = 1, so the function has neither a relative maximum nor a minimum at x = 1.

B. None of these apply

C. The derivative is negative to the left of x = 1 and positive to the right of x = 1, so the function has a relative minimum at x = 1.

D. The derivative is positive to the left of x = 1 and negative to the right of x = 1, so the function has a relative maximum at x = 1.

E. The derivative is positive to the left of x = 1 and negative to the right of x = 1, so the function has a relative minimum at x = 1.

Answers

Answer:

Option A

Step-by-step explanation:

Expression for the given function is,

y = 3x⁵ - 25x³ + 60x + 1

First derivative of the given function will be,

y' = 15x⁴ - 75x² + 60

For the critical points of the function,

y' = 0

15x⁴ - 75x²+ 60 = 0

x = 1

On the left side of x = 1,

Let x = 0

y' = 15(0)⁴ - 75(0)²+ 60

y = 60 [Positive]

On the right side of x = 1,

Let x = 3

y' = 15x⁴ - 75x²+ 60

y' = 15(3)⁴ - 75(3)² + 60

y' = 1215 - 675 + 60

y' = 600 [Positive]

Since, the derivative is positive on both the sides of x = 1,

Function will have neither maximum neither minimum at x = 1.

Option A is the answer.

30 Yuri has two plum trees, A and B. in his garden
А
B
Tree A produces 20kg of plums.
Tree B produces 10% more than tree A.
How many kilograms of plums in total does Yuri get from the trees?
Show your working​

Answers

Answer:

42kg

Step-by-step explanation:

We are given the amount of plums produced from Tree A. We simply need to find the amount produced by Tree B and add the two numbers up.

Step 1:

Tree B produces 10% more than Tree A, which produces 20kg of plums:

[tex]B=\frac{110}{100} *\frac{20}{1} \\\\B=\frac{110}{5}=\\\\B=22[/tex]

Ok! Tree B produces 22kg of plums. Let us find the total amount of plums Yuri gets from both trees.

Step 2:

[tex]Total=A+B\\\\Total=20+22\\\\Total=42[/tex]

Yuri gets 42 kg of plums from the trees.

I hope this helps! Let me know if you have any questions :)

A weatherman predicted 8 inches of snow would fall last night.
Instead, 20 inches of snow actually fell
What is the percent error of the prediction?

Answers

Answer:60%

Step-by-step explanation:

help me complete it fast pls

Answers

Answer:

AC < AB

Step-by-step explanation:

We can see just by looking at it, they are not the same length.

1.
Write the following to 3.s.f
(a) 2172
(b) 2.066
(c)0.030111

Answers

a)2170
b)2.060
c)0.030110

What is the slope-intercept form of the equation representing this function?

Answers

Answer:

y = 3x - 7

Step-by-step explanation:

The line rises 3 in y for every run of 1 in x

slope = 3

The y-intercept

is -7

Therefor

y = 3x - 7

Y=3x-7 the 3 is the slope

Angelica and Diego collect Pokémon cards. Angelica has
four more cards than Diego does. Together, they have 18 in total. How many cards does Angelica have?

Answers

Answer:

40

Step-by-step explanation:

because 18 + 18 =36 +4=40plese follow me
40 is the correct answer to your question

Name the marked angle in 2 different ways.

Answers

1) Angle EGF

2) Angle FGE

Find the cube root of 512​

Answers

Answer:

[tex]\sqrt[3]{512} = 8[/tex]

Step-by-step explanation:

[tex]\sqrt[n]{x} = x^ {\frac{1}{n}}[/tex]

      [tex]\sqrt[3]{512} = \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 }\\\\ = \sqrt[3]{2^9} \\\\= (2^9)^{\frac{1}{3}}\\\\ = 2^{ 9 \times \frac{1}{3}} \\\\= 2^3\\\\ = 8[/tex]

A person standing on a second floor balcony drops keys to a friend standing below the balcony. The keys are dropped from a height of 10 feet. The height in feet of the keys as they fall is given by the functionh(t)=−16t2+10, where t is the time in seconds since the keys were dropped.

The friend catches the keys at a height of 4 feet. Find the elapsed time before the keys are caught.

Answers

Answer:

sqrt(3/8) = t

.61237 = t

Step-by-step explanation:

h(t)=−16t^2+10

Let h(t) = 4

4 =−16t^2+10

Subtract 10 from each side

4-10 =−16t^2+10-10

-6 = -16 t^2

Divide by -16

-6/-16 = t^2

3/8 = t^2

Take the square root of each side

sqrt(3/8) = sqrt(t^2)

sqrt(3/8) = t

.61237 = t

We only take the positive since time is not negative

which of the following numbers must be added to complete the square in the equation below x^2+16x=5​

Answers

Answer:

8

Step-by-step explanation:

I was stumped on this question too so I figured I might as well learn how to do it. All you have to do is divide the middle number (16x) by 2. Pretty easy! Hope this helps anyone who needs it!

Model 3: Another plan to secure the roller coaster involves placing two concrete struts on either side of the center of the leg of the roller coaster to add reinforcement against southerly winds in the region. Again, using the center of the half-circle as the origin, the struts are modeled by the equations and . A vertical reinforcement beam will extend from one strut to the other when the two cables are 2 feet apart. 8. Algebraically determine the x -value of where the beam should be placed. (15 points) 9. Explain where to place the beam. (10 points)

Answers

Answer:

The beam should be placed 8 feet from the center.

Step-by-step explanation:

According to the Question,

Given That, Another plan to secure the roller coaster involves placing two concrete struts on either side of the center of the leg of the roller coaster to add reinforcement against southerly winds in the region.Again, using the center of the half-circle as the origin, the struts are modeled by the equations y=x+8 and y=x-4. A vertical reinforcement beam will extend from one strut to the other when the two cables are 2 feet apart. Recall that a reinforcement beam will extend from one strut to the other when the two struts are 2 feet apart.

The struts are y = √(x + 8) and y = √(x − 4).  The struts are 2 feet apart at the location of the beam:

thus, √(x + 8) − √(x − 4) = 2  

on Solving we get,

√(x + 8) = 2 + √(x − 4)

x + 8 = 4 + 4√(x − 4) + x − 4

8 = 4√(x − 4)

2 = √(x − 4)

x − 4 = 4

x = 8

can someone help me with this​

Answers

Answer:

Step-by-step explanation:

a) -14 , -9 , -4 , 1 ................

Common difference = d = 2nd term - 1st term

           = -9-[-14]

           = -9 + 14

          d = 5

The next term can be got by adding 5 to the previous term

5th term = 1 + 5 = 6

6th term = 6 + 5 = 11

7th term = 11 + 5 = 16

Next 3 terms are : 6 , 11 , 16

[tex]b) \frac{5}{6},\frac{2}{3},\frac{1}{2},\frac{1}{3},.....\\\\d = \frac{2}{3}-\frac{5}{6}\\\\=\frac{2*2}{3*2}-\frac{5}{6}\\\\=\frac{4}{6}-\frac{5}{6}\\\\=\frac{-1}{6}\\\\a_{5} = \frac{1}{3}+\frac{-1}{6}=\frac{1*2}{3*2}+\frac{-1}{6}=\frac{2}{6}+\frac{-1}{6}=\frac{1}{6}\\\\a_{6}=\frac{1}{6}+\frac{-1}{6}=0\\\\a_{7}=0+\frac{-1}{6}=\frac{-1}{6}\\\\\\Next 3 terms : \frac{1}{6},0,\frac{-1}{6}[/tex]

Answers all questions correctly and show all work

1 . J + -2 = -22

2 . b - 19 = -11

3 . Y/7 = - 7

4 . -10 = -2y

Answers

Answer:

J = - 20

b = 8

Y = - 49

y = 5

Step-by-step explanation:

j + - 2 = - 22

j - 2 + 2 = - 22 + 2

j = - 20

------------------------------

b - 19 = - 11

b - 19 + 19 = - 11 + 19

b = 8

---------------------------------

y ÷ 7 = - 7

y ÷ 7 × 7 = - 7 × 7

y = - 49

------------------------------

- 10 = - 2y

- 2y = - 10

- 2y ÷ - 2 = - 10 ÷ - 2

y = 5

Which function is positive for the entire interval [–3, –2]?

On a coordinate plane, a curved line with a minimum value of (0, negative 3) crosses the x-axis at (negative 3, 0) and (3, 0), and crosses the y-axis at (0, negative 3).

On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1.5).

On a coordinate plane, a curved line with a minimum value of (2, 4) and a maximum value of (0.5, 6), crosses the x-axis at (negative 1.5, 0) and crosses the y-axis at (0, 5).

On a coordinate plane, a curved line with a minimum value of (negative 1.75, negative 3.9) and a maximum value of (0, 2), crosses the x-axis at (negative 2.2, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).

Answers

Answer:

B

Step-by-step explanation:

Based on the given information, option 4 seems to be the most likely candidate to be positive for the entire interval [-3, -2]. Correct option is 4.

To determine which function is positive for the entire interval [-3, -2], we need to look for the part of the curve that lies above the x-axis within this interval.

The curve has a minimum value of (0, -3) and crosses the x-axis at (-3, 0) and (3, 0), which means it goes below the x-axis in the interval [-3, -2]. So, this option is not positive for the entire interval.

The curve has a minimum value of (2, -3) and crosses the x-axis at (-1, 0) and (5, 0). Since it crosses the x-axis at -1 which is outside the interval [-3, -2], this option is not positive for the entire interval.

The curve has a minimum value of (2, 4) and a maximum value of (0.5, 6). Since the minimum value is above the x-axis, this option is not positive for the entire interval.

The curve has a minimum value of (-1.75, -3.9) and a maximum value of (0, 2). It also crosses the x-axis at (-2.2, 0), (-0.75, 0), and (0.75, 0). Since the minimum value is above the x-axis, and all the points where it crosses the x-axis are outside the interval [-3, -2], this option could potentially be positive for the entire interval.

To know more about interval:

https://brainly.com/question/34520204

#SPJ3

On Saturdays, Jorge coaches soccer for 1/12 of the day. He also coaches tennis and swimming, each for the same amount of time as soccer. What fraction of the day does Jorge spend coaching on Saturdays.

Answers

Answer:

3/12 or SIMPLIFIED = 1/4

Step-by-step explanation:

If he spends 1/12 of the day on soccer and he does tennis and swimming for the same amount of time that is just 1/12 +1/12+1/12=3/12 because each 1/12 is for each activity. So you answer (simplified) is 1/4

need some help with these 2 questions

Answers

Answer:

hear is your answer please mark as brain list

The mean score was 72. The standard deviation was 7 percentage-points. Based on this information, what is the best
approximation for the number of students who scored 79 or better?

Answers

Answer:

the number of student that took the test is missing

I think it is 100?

79 is 1 sigms (1 standard deviation) above the mean....

1 sd is 84% ... 16% are above the 79

multiply the students that took the test by .16

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 159. i just took the test and got it right

Use similar triangles to find the value of x and y​

Answers

Answer:

x = 12

y = 9.6

Step-by-step explanation:

Using ratios

5        10

---  = -----

6         x

Using cross products

5x = 6*10

5x = 60

Divide by 5

5x/5 = 60/5

x = 12

5        8

---  = -----

6         y

Using cross products

5y = 6*8

5y = 48

Divide by 5

5y/5 = 48/5

y = 9.6

Answer:

the other guy/ girl is correct!

Step-by-step explanation:

i'm doing practice problems by solving unsolved similarity math problems on brainly. his/her answers is correct!

sin(A+B-C) find the equation​

Answers

Answer:

[SInA][CosB][CosC] + [CosA][SinB][CosC] - [CosA][CosB][SinC] - [SinA][SinB][SinC]

Step-by-step explanation:

Given:

Sin (A + B - C)

Find;

Expansion of given expression

Computation:

Sin (A + B - C)

Sin [(A + B) - C]

Sin(A + B)CosC - Cos(A + B)SinC

[SInACosB + CosASinB]CosC - [CosACosB - SinASinB]SinC

SInACosBCosC + CosASinBCosC - CosACosBSinC - SinASinBSinC

[SInA][CosB][CosC] + [CosA][SinB][CosC] - [CosA][CosB][SinC] - [SinA][SinB][SinC]

Liz and erin are different ages but eat from the same size of bowl. Liz ate 4 servings of cereal. Each serving was 1/3 of a bowl. Erin ate 3 servings of cereal. Each serving was 2/3 ​of a bowl. Who ate more bowls of cereal?

Answers

Erin ate more because
1/3+1/3+1/3+1/3= 1and1/3 which is Liz’s amount of cereal and Erin ate 2/3+2/3+2/3=2
So Erin ate 2 bowels of cereal

solve for x, show work please! 25 points.

Answers

Answer:

C

Step-by-step explanation:

8x + 2 = 7x + 8

<=> 8x - 7x = -2 + 8

<=> x = 6

Answer:

Option C

Step-by-step explanation:

Here,

8x + 2 = 7x +8 [Since Alternate interior angle]

=> 8x - 7x = 8 - 2

=> x = 6 (Ans) (Option C)

Which of the following proves trinagle ABC =~ trinagle DEF? Please help me step-by-step with this please, and if you give just a straight answer with no proof then Ima just assume that you are here answering incorrectly and are just here for the points!!

Answers

Answer:

C. ASA

Step-by-step explanation:

The details of the given parameters are;

Angle ∠B of ΔABC is congruent to angle ∠E of triangle ΔDEF,

Angle ∠C of ΔABC is congruent to angle ∠F of triangle ΔDEF

Side [tex]\overline{BC}[/tex] of ΔABC is congruent to side [tex]\overline {EF}[/tex] of triangle ΔDEF

Two angles (∠B and ∠C) and the included side (side [tex]\overline{BC}[/tex]) of ΔABC are congruent to the corresponding two angles and included side (∠D, ∠E and side [tex]\overline {EF}[/tex]) of ΔDEF, therefore, the two triangles are congruent by the Angle-Side-Angle, ASA, rule of congruency

What is the greatest common factor of 4xy2 and 20x2y4?

Answers

4xy^2 is the gcf, as the largest thing 20x2y4 can divide by is 4xy2

Answer:

4xy^2

Step-by-step explanation

i got it right in a quiz

Jasmine bought a 2-liter bottle of soda. How many milliliters of soda were in the bottle?

Answers

A milliliter is 1/1,000 of a liter. This means there is 1,000 milliliters per liter.

2 liters x 1,000 milliliters per liter = 2,000 total milliliters.

Answer: 2,000

Answer quickly please

Answers

Answer:

56

Step-by-step explanation:

please I'm not sure about the answer above but I'll try to solve it and help you later

The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer in simplest form.

Answers

Answer:

17/9

Step-by-step explanation:

The scaled figure in the right is larger, thus the scale factor is greater than 1.

17/9 is the answer hope this helps

Not super urgent but need this simplified..

Answers

Answer:

bottom ans , because a⁶+a¹ = a⁷

also (•) this symbols related to x (times/multiply) and x is consider as +

If Devon took 20 min to drive 24 km, what was his R.O.C.? Answer in decimals.

Answers

Answer:

1.2 km/min

Step-by-step explanation:

ROC? rate of change? if not rate of change than my answer may not be correct

24km/20min = 1.2 km/min

24km/20min * 60min/1 hr= (24*60)/20=120 km/hr

Find the value of x if necessary you may learn what the marking on a figure indicate

Answers

Answer:

Step-by-step explanation:

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