If line segment AB measures approximately 8.6 units and is considered the base of parallelogram ABCD, what is the approximate corresponding height of the parallelogram? Round to the nearest tenth.

3.7 units
4.1 units
4.8 units
5.6 units

Answers

Answer 1

The height of the parallelogram to the nearest tenth is; C: 4.8 units

What is the height of the parallelogram?

Using Pythagoras theorem, we can find the smaller side of the parallelogram attached.

√(3² + 4²) = √25 = 5 units

The height of the parallelogram will be very close to this other side that measures 5 units.

Thus, the option that is closest to 5 units is 4.8 units and that is the height of the parallelogram.

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If Line Segment AB Measures Approximately 8.6 Units And Is Considered The Base Of Parallelogram ABCD,
Answer 2

The approximate corresponding height of the parallelogram is 4.8 units.

Option C is the correct answer.

What is a parallelogram?

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

The area of a parallelogram is equal to the product of its base and height. Therefore, we can find the height of parallelogram ABCD by dividing its area by the length of its base.

The area of parallelogram ABCD is equal to the area of triangle ABD, which has the same base as parallelogram ABCD and the same height as parallelogram ABCD.

Therefore, we can find the area of triangle ABD by dividing the area of parallelogram ABCD by 2.

Let h be the height of the parallelogram ABCD.

Area of triangle ABD

= (1/2) x base x height

= (1/2) x 8.6 units x h

Area of parallelogram ABCD

= base x height

= 8.6 units x h

Dividing the area of parallelogram ABCD by 2.

Area of triangle ABD

= (1/2) x 8.6 units x h

= 4.3 units x h

We know that the area of the parallelogram is greater than the area of the triangle because the parallelogram contains the triangle.

Therefore, the height of the parallelogram must be greater than the height of the triangle.

Let's say that the height of the parallelogram is approximately 4.8 units. Then, the area of the triangle is approximately:

Area of triangle ABD

= (1/2) x 8.6 units x 4.8 units

= 20.64 square units

Now,

Area of parallelogram ABCD.

= 8.6 units x 4.8 units

= 41.28 square units

This area corresponds to a height of approximately 4.8 units.

Therefore,

The approximate corresponding height of the parallelogram is 4.8 units.

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If Line Segment AB Measures Approximately 8.6 Units And Is Considered The Base Of Parallelogram ABCD,

Related Questions

Given the equation 5 + x - 12 = x - 7.
Part A. Solve the equation 5 + x - 12 = x - 7. In your final answer, be sure to state the solution and include all of your work.

Part B. Use the values x = -4, 0, 5 to prove your solution to the equation 5 + x - 12 = x - 7. In your final answer, include all of your calculations.

Answers

Answer:

part A=    x=1

part B=   -13=-11 and -7=-7 and -2=-2

Step-by-step explanation:

part A

5+x-12=x-7

-7+x=x-7

x=1

part B

5+(-4)-12=-4-7

-1-12=-4-7

-13=-4-7

-13=-11

5+x-12=x-7

5+(-12)=-7

-7=-7

5+x-12=x-7

5+5-12=5-7

10-12=-2

-2=-2

An 18-foot ladder reaches the top of
a building when placed at an angle of
45° with the horizontal. What is the
approximate height of the building?

Answers

Answer:

810 Feet Approximately.

Step-by-step explanation:

The probability of rolling an even number with a six-sided number cube
is about 1/2 . Choose the likelihood that best describes the probability
of this event.

Answers

Answer:

Equally likely

Step-by-step explanation:

Equally likely means that it’s a 50% percent chance on both sides meaning that equally likely Is the answer.

Answer:

likely

Step-by-step explanation:

Find the simple interest on $8,000 at 4% interest for 2.5 years?

Answers

Answer:

800

Step-by-step explanation:

Solve the inequality.
5x - 7 < 8x + 8
The solution set is x |

Answers

Answer:

- 5 < x

Step-by-step explanation:

To solve, we need to isolate the variable: x

5x - 7 < 8x + 8

Subtract 5x from both sides

5x -  5x -7 < 8x -5x + 8

- 7 < 3x + 8

Subtract 8 from both sides

- 7 -8 < 3x + 8 -8

-15< 3x

Divide both sides by 3

- 15/3< 3x/3

- 5 < x

Answer:

-5 < x is correct, I double check her answer

A mug can hold 17.09 ounces of coffee without overflowing. The radius of the mug is 4 cm. Given that 1 cm³ equals 0.034 ounce, what is the height of the mug to the nearest centimeter

Answers

Answer:

10 centimeters

Step-by-step explanation:

Kindly refer to the attached image for explanations

Can you explain it and help me out please​

Answers

Answer:

c.

Step-by-step explanation:

2x² - 4x - 3 = 0

[tex]x= \frac{-b+/-\sqrt{b^{2}-4ac} }{2a} \\\\x= \frac{-(-4)+/-\sqrt{(-4)^{2}-4*2*(-3)} }{2*2} \\\\x= \frac{4+/-\sqrt{16+24} }{4} \\\\x= \frac{4+/-\sqrt{40} }{4} = \frac{4+/-2\sqrt{10} }{4}=\frac{2+/-\sqrt{10} }{2}[/tex]

The answer would be c on this

I will mark as brainliest. Please Help.
Find the equation of the tangent to the circle x²+y²=169 at the point (5,12)

Answers

Answer:

12y + 5x = 169

Step-by-step explanation:

Differentiate wrt x

2x + 2y(dy/dx) = 0

dy/dx = -x/y

At (5,12)

m = -5/12

y = (-5/12)x + c

12 = -25/12 + c

c = 169/12

y = (-5/12)x + 169/12

12y + 5x = 169

Answer:

y = [tex]\frac{-5}{12}[/tex] x +17

Step-by-step explanation:

We'll have to use calculus and differentiating to solve this.

Differentiate the given equation with respect to x:

x^2 + y^2 = 169

2x + 2y * (dy/dx) = 0

Solve for dy/dx:

dy/dx = -x/y

Now, what this derivative means is actually the slope of the tangent line at the point (x, y).

Substituting 5 in for x and 12 in for y, we get:

dy/dx = -5/12

So, the slope is -5/12

Now, we have a slope (m = -5/12) and a point (5,12), so we can write an equation in point-slope form, which is: [tex]y-y_1=m(x-x_1)[/tex], where (x_1, y_1) is the point and m is the slope. So, we have:

y - 12 = [tex]\frac{-5}{12}[/tex] (x - 12)

We can then solve for y (if you want): y = [tex]\frac{-5}{12}[/tex] x +17.

Hope this helps!

Which is closest to the circumference of the CD?

1. 18.84
2. 28.26
3. 37.68
4. 113.04

Answers

Answer:

,

Step-by-step explanation:

Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:




Write an equation to determine the area, A, of the patio that will be painted.

A = (x + 18)(x + 35)

A = (x + 15)(x + 25) + 30

A = (x + 5)(x + 22)

A = (x + 25)(x + 15) − 30

Answers

Answer:

A = (x + 25)(x + 15) - 30

Step-by-step explanation:

This question is not complete without a figure; find the figure attached.

Marissa is painting a regular patio with dimensions as

Length = (x + 25) units

Width = (x + 15) units

Area of this rectangular patio = Length × Width

Area = (x + 25)(x + 15) unit²

She has to paint the patio except the bench that does not need to be painted.

Dimensions of the rectangular bench,

Length = 10 units

Width = 3 units

Area of the bench = 10×3 = 30 units²

Area of the patio to be painted = Area of patio - Area of bench

                                                A = (x + 25)(x + 15) - 30

You acquired a 34.5 foot rope and are excited to string it between the ground and up a tree to create a delivery system. You need the rope to make a 25° angle with the ground. How high up the tree do you need to place the rope? Include a sketch that shows all known information and clearly shows what you need to find . Show all work and give the answer rounded to the nearest tenth of a foot.

Answers

The height of the tree is 14.5 ft.

Step-by-step explanation:

Let the height of the tree be 't'

The angle between the ground and the rope = 25°

Length of the rope = 34.5 ft.

To find :

The height of the tree.

We can use the sine to calculate the height of the tree.

sin 25° = t/34.5

sin 25° = 0.42

sin 25° = t/34.5

0.42 = t/34.5

t = 0.42 x 34.5

t = 14.5 ft.

The height of the tree is 14.5 ft.

If (x-2/3)=6 find the value of (x^3-8/xcube)

Answers

Answer:

(x-2)(x^2+2x+4)/x^3

Step-by-step explanation:

if you were doing for x let me know

20 points
About 50% of the students at a high school opted for Spanish classes and of these,
about 32% opted for both Spanish and German classes. What percentage of the
students opted for German classes given that they have also opted for Spanish?

Answers

Answer:

32%

Step-by-step explanation:

P(G/S) = P(G&S)/P(S)

= (0.32×0.5)/0.5

= 0.32

32%

The percentage of students who have opted for German classes among those who also chose Spanish classes is 32%. This is because 50% of the students chose Spanish, and of these, 32% also selected German classes.

The question revolves around the percentage of students at a high school who have opted for German classes among those who have opted for Spanish classes. To solve this, we consider that 50% of the students chose Spanish classes, and of those, 32% also chose German classes. This means that among the students who took Spanish, 32% is the percentage of students who elected to take German classes as well.

what is the volume of the following rectangular prism?

Answers

Answer:

I dont really know how to multiply fractions but i do know the step.

Step-by-step explanation:

Since 23/4 units square's formula is L × B. and the H is 4/3 units.All you needed to do to find the recrangular prism was to multiply 23/4 and 4/3 to get it.Then simplify it.Sorry i dont really know whether this helps but its what i know:'D

Answer:

volume= 23/4 x 4/3

volume= 7 2/3 units3

Roberta jogs 3 laps the first day, 5 laps the second day, 7 laps the third, and so on. On which day will Roberta jog 13 laps if the pattern continues.

Answers

It seems that she runs two more laps each day, so:

day 1- 3

day 2- 5

day 3- 7

day 4- 9

day 5- 11

day 6- 13

simple patterns baby

Final answer:

Roberta will jog 13 laps on the sixth day of her jogging routine, following the arithmetic sequence of adding 2 laps each day, starting with 3 laps on the first day.

Explanation:

The student is asking about a pattern in which Roberta jogs an increasing number of laps each day, with the sequence starting at 3 laps and increasing by 2 laps each subsequent day. To determine on which day Roberta will jog 13 laps, we can identify this as an arithmetic sequence with a common difference of 2. The first day is 3 laps, the second day is 5 laps, and this pattern continues. Following this sequence, the number of laps jogged by Roberta each day is:

Day 1: 3 lapsDay 2: 5 lapsDay 3: 7 lapsDay 4: 9 lapsDay 5: 11 lapsDay 6: 13 laps

Thus, Roberta will jog 13 laps on the sixth day, if the pattern continues.

(r/s)(3) find the value.

Answers

3r

s

hope it helps:)

Solve the equation below.
k - 6.2 = 24.8

Answers

Answer:

k = 31

Step-by-step explanation:

k - 6.2 = 24.8

   +6.2    +6.2 (Add 6.2 to both sides to isolate the variable: k)

__________

k = 31

Answer:

31

Step-by-step explanation:

To find the value of k, you have to add 6.2 and 24.8 . To check your work, you subtract 31 by 6.2 and you'll get 24.8.

Which equation could be used to find the length of the hypotenuse?

Answers

The answer would be A because A squared + B squared = C squared which is the hypotenuse.

Answer:

aaaaaaaaaaaaaaaaa

Step-by-step explanation:

i dont if i made it clear but the answer is A

The temperature drops 10 degrees and then rises 10 degrees.
Write an addition expression that represents this situation.

Please answer ASAP

Answers

Answer:

10-10+10=10 degrees

A bag contains 3 blue
marbles and 2 yellow marbles.

One example of independent
events using this bag of marbles is randomly selecting a blue marble,__________,and then
randomly selecting another
blue marble.

Fill in the blank above with
one of these:
a) Not replacing it
b) Replacing it

Answers

Answer:

a) replacing it

if you dont replace the marble there will be 1 less marble than before it will effect the possiblity

A , if you don’t replace there will be 1 less

The Wing Station wants the average price of the lunch meal deals to be $8.

Lunch Meal Deal Prices

Item

Price ($)

Deluxe hamburger

$9

Reuben sandwich

$7

Chicken wings

Chicken stir fry

$9

Cobb salad

$6

Make your own sandwich

$10

What does the price of the chicken wings need to be for this to happen?

Mark this and return

Save and Exit

Next

Submit

Answers

Answer:

The price of chicken wings need to be $7 for the average price of the lunch meal deals to be that.

Step-by-step explanation:

Please kindly check the attached files for explanation

Answer:

B.) 7$

Step-by-step explanation:

Easier explanation

9x^2-25
How do you solve this?

Answers

Answer:(3x+5) (3x-5)

Step-by-step explanation: a2-b2 =(a+b) (a-b)  where a= 3x and b=5

Which list is in order from least to greatest?
9.4 x 10 -8, 9.25 x 10 -6, 2.5 x 10 3, 7 x 10 3
2.5 x 10 3, 7 x 10 3, 9.25 x 10 -6, 9.4 x 10 -8
9.25 x 10 -6, 9.4 x 10 -8, 7 x 10 3, 2.5 x 10 3
9.4 x 10 -8, 9.25 x 10 -6, 7 x 10 3, 2.5 x 10 3

Answers

Answer:

Step-by-step explanation:

last list

Answer:

it's the one at the bottom

60
boys at a summer camp were asked to complete a survey about their favorite outdoor activity.
18
boys chose biking and
29
29
boys chose fishing.
The remaining boys did not complete the survey.

What expression gives the percent of survey participants who chose fishing?


Answers

 Expression for percent of survey participants who chose fishing =

Explanation:

 Total number of boys = 60

 Number of boys who took part in survey = 18 + 29 =47

 Number of boys who chose fishing = 29.

 Percentage of an outcome = (Number of favorable outcome/ Total number of outcome) x 100

 Percentage of boys who chose fishing = (29/47)x100

 Expression for percent of survey participants who chose fishing =

Hope I helped! :)

Answer:

Expression for percent of survey participants who chose fishing =

Explanation:

 Total number of boys = 60

 Number of boys who took part in survey = 18 + 29 =47

 Number of boys who chose fishing = 29.

 Percentage of an outcome = (Number of favorable outcome/ Total number of outcome) x 100

 Percentage of boys who chose fishing = (29/47)x100

 Expression for percent of survey participants who chose fishing =

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Step-by-step explanation:

Find the value of each numbered angle.

Answers

Answer:

See below.

Step-by-step explanation:

m < 1 = 180 - 125 = 55 degrees (adjacent angles),

m <  2 = 180 - 56 = 124 degrees (adjacent angles).

m < 3 = 124 - 55 = 69 degrees ( external angle of a triangle theorem).

A box contains ten cards labeled Q, R, S, T, U, V, W, X, Y, and Z. One card will be randomly chosen.

What is the probability of choosing a letter from Q to T?

Write your answer as a fraction in simplest form.

1

Olox

5

?

Answers

Answer: 2/5

Step-by-step explanation: The total number of letters available to choose from is 10. You want to know the probability of 4 of those 10. So you divide 4/10. When you simplify that fraction it becomes 2/5.

The solution is 2/5

The probability of choosing a letter from Q to T is given by the equation

A = 2/5

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability of choosing a letter from Q to T be represented as A

Now , the equation will be

Let the letters be represented as set 1 = { Q , R , S , T , U , V , W , X , Y , Z }

The total number of letters = 10 letters

The number of letters from Q to T = 4 letters

So , the probability of choosing a letter from Q to T is A = number of letters from Q to T / total number of letters

Substituting the values in the equation , we get

Probability of choosing a letter from Q to T is A = 4/10

On simplifying the equation , we get

Probability of choosing a letter from Q to T is A = 2/5

Therefore , the value of A is 2/5

Hence , the probability is 2/5

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An element with a mass of 120 grams decays by 27.5% per minute. To the nearest tenth of a minute, how long will it be until there are 2 grams of the element remaining?

Answers

Answer:

12.7

Step-by-step explanation:

its right

It will take approximately 9.9 minutes until there are 2 grams of the element remaining.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

We can use the exponential decay formula to solve the problem.

The formula for exponential decay is:

[tex]A = A_0e^{-kt}[/tex]

where:

A₀ = initial amount

A = amount remaining after time t

k = decay rate constant

t = time

We can find the decay rate constant k using the given percentage decay per minute.

If the element decays by 27.5% per minute, then the decay rate constant is:

k = ln(1 - 0.275) = -0.3185

where ln is the natural logarithm.

Let's substitute the given values into the formula and solve for t:

[tex]2 = 120 e^{-0.3185t}[/tex]

Divide both sides by 120:

[tex]0.0167 = e^{-0.3185t}[/tex]

Take the natural logarithm of both sides:

ln(0.0167) = -0.3185t

t = ln(0.0167) / (-0.3185)

t ≈ 9.9 minutes (to the nearest tenth of a minute)

Therefore,

It will take approximately 9.9 minutes until there are 2 grams of the element remaining.

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Which shows the following expression after the negative exponents have been eliminated?

A)StartFraction m Superscript 7 Baseline n cubed Over m n Superscript negative 1 Baseline EndFraction, m not-equals 0, n not-equals 0
B)StartFraction m Superscript 7 Baseline n cubed n Over m EndFraction
m Superscript 7 Baseline n cubed m n
C)StartFraction m Superscript 7 Baseline n cubed Over m (negative n) EndFraction
D)StartFraction m n Over m Superscript 7 baseline n EndFraction

Answers

Answer:

its A

Step-by-step explanation:

Hence, the correct answer is (C)[tex]\frac{m^7.n^7}{mn^{-1}}[/tex]

What is an expression?

a mathematical phrase that can contain ordinary numbers, variables, and operators.

How to solve?

Given the expression [tex]\frac{m^7.n^7}{mn^{-1}}[/tex]

on simplification, if can be found,

                                  =[tex]m^{7-1}.n^{3-(-1)}\\m^6.n^4[/tex]

which is the required answer.

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translate the points two left and six up
W(4,8)
X(3,-2)
Y(6,5)

Answers

Answer:

W'(2, 14)X'(1, 4)Y'(4, 11)

Step-by-step explanation:

To translate 2 left, subtract 2 from every x-value.

To translate 6 up, add 6 to every y-value.

__

W' = W +(-2, 6) = (4-2, 8+6)

W' = (2, 14)

__

X' = X +(-2, 6) = (3-2, -2+6)

X' = (1, 4)

__

Y' = Y +(-2, 6) = (6-2, 5+6)

Y' = (4, 11)

Find the inner product of (4,9,-3), (-6, 7,5)and state whether the vectors are perpendicular.

Answers

Answer:

24, not Perpendicular

Step-by-step explanation:

4×-6 + 9×7 + -3×5

-24 + 63 - 15

24

Perpendicular when inner product is 0

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No women are nearby Plz help!!!! A map titled The Roman Empire, circa 117 C E. A key shows the Roman Republic, 44 B C E in purple and the Roman Empires, 117 C E in green. Purple shaded areas include the coast along central north Africa, most of Spain and Portugal, France, Italy, Corsica, Sardinia, Sicily, Italy, the coast land from Italy southeast to the Aegean Sea, parts of Turkey. 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