Learning Task 1: Read and solve the following problems. Use the 4-Step Plan by supplying the needed information in each letter below. 1. A resident lot has the shape of a parallelogram. Its base measures 20 meters. The distance between the 2 parallel sides is 8 meters. What is the area of the lot? 2. A triangular landscape has a base of 24 meters and a height of 12 meters. Find its area. 3. A trapezoidal lawn has an upper base of 16 meters and a lower base is 30 meters. The distance between the parallel bases is 10 meters. If the lawn is to be planted with Bermuda grass, how many square meters of Bermuda grass will be needed 4. A rectangular banner has a length of 5 meters and a width of 3 meters. Find the area. 5. What is the area of a soccer ground square in shape with a side of 8 meters? A = G= O= N= S = och sa A= och *You will use the letters in each problem above

Answers

Answer 1

The area of the lot with a shape of a parallelogram if its base measures 20 meters and the distance given is 160m².

How to calculate the area?

Area of a parallelogram will be:

= Base × Height

= 20 × 8

= 160m²

The area of the triangular landscape that has a base of 24 meters and a height of 12 meters will be:

= 1/2 × base × height

= 1/2 × 24 × 12

= 144m²

The area of the trapezium will be:

= 1/2 × (a + b) × h

= 1/2 × (16 + 30) × 10

= 1/2 × 46 × 10

= 230m²

The area of the rectangular banner has a length of 5 meters and a width of 3 meters will be:

= Length × Width

= 5 × 3

= 15m²

The area of a soccer ground square in shape with a side of 8 meters will be:

= 8 × 8

= 64m²

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Related Questions

Which of the following are square roots of
256

A-16

B. 2561/2

C. 2561/2

D. 8

E. 16

F. 128​

Answers

Answer:

16

Step-by-step explanation:

16^2 = 256

E. the square root of 256 is 16

karen has 3 1/3 hours to run errands spends 1 2/3 hour at grocery store and rest at library how muh time did she spend at library

Answers

Answer:

1 and 2/3 hours (One hour and 40 minutes.)

Step-by-step explanation:

Karen has 3 and 1/3 hours.

She spends 1 and 2/3 hours at the store.

3 and 1/3 - 1 and 2/3 = 1 and 2/3 or 5/3 is the time she had left after being at the grocery store.

Because the rest of the time was spent at the library, that is your answer.

Please help on math.​

Answers

Answer:

3

Step-by-step explanation:

First set up your data in order

0,0,0,0,1,1,1,2,2,2,2,3,3

Second subtract the lowest to the highest which is 3-0=3

Hope this helps!

Please Solve |x+3| if x > 5

Answers

Answer:

x< -8 or x>2

Step-by-step explanation:

apply the absolute root

If lu| > a, a>0 then u< -a or u>a

it is equal to

x+3<-5 or x+3> 5

x<-8 or x>2

how many cattle are there on the lazy circle double o bar four square ranch

Answers

The expression shown in the cattle on the lazy circle will be 22m + 42 and 17m + 3.

How to calculate the expression?

From the complete information, the first expression is given as:

= 7(2m + 6) + 8m

= 14m + 42 + 8m

= 22m + 42

The second expression is given as:

= 3(1 + 4m) + 5m

= 3 + 12m + 5m

= 17m + 3

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In a survey, 125 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 1.​

Answers

Answer: probably 4 cards each person

Step-by-step explanation:

Draw and write to solve. Explain
your reasoning.
1. Jean has 10 fish. She gets
4 more fish. How many fish
does she have now?

Answers

Answer:

14

Step-by-step explanation:

she has 10

she gets 4 more

10+4=14

Which number is rational?

Answers

Answer:

[tex]\sqrt{16}[/tex]

Step-by-step explanation:

16 has a perfect square, 4.

Answer:

the square root of 16

Step-by-step explanation:

16 is a perfect square so

the square root of 16 is 4

4*4 = 16

A cubical dice is thrown two times, find the probability that the outcomes is 5 in first throw and odd number in second throw.​

Answers

All the numbers present in cubical dice = 6

( 1 , 2 , 3 , 4 , 5 ,6 ) Total Outcomes = 6

Probability = Favorable outcomes / Total number of outcomes

Probability that 5 will come in first throw :-

Favorable Outcomes = 1

Favorable Outcomes = 1 Probability = 1/6

Probability that an odd number will come in second throw :-

Favorable Outcomes = 3

Probability = 3/6 ; 1/2

NEED HELP ASAP!!!!!!​

Answers

Answer:

Vertex: (-2,-8)

Axis of Symmetry: x = -2

x intercept(s): x = 2,-6

Min/Max Value: Min; y= -8

y-intercept: -6

Step-by-step explanation:

1/10 (as a fraction) of the animal pictures on Amelia’s smartphone are of cats. Write and solve an equation to find what fraction of all her pictures have cats in them.

Answers

1/10 that mean that there are 10 animal pics and 1 cat pic. your equation could be 10-9=1 showing only one 1 cat image.

Write an equation of the line that passes through (2, -5) and has a slope of 4

Answers

Step-by-step explanation:

(y-(-5))/(x-2) = 4

(y+5)/(x-2) = 4

y+5 = 4x - 8

y = 4x - 13

To find the y-intercept, we can use the equation y=mx+b, where we plug in the coordinates for y and x, and m for the slope, and solve for b.
Coordinates are (2,-5) so x = 2, and y = -5. Since the slope is 4, m = 4
Plugging them in, we get:
-5 = 2(4) + b
-5 = 8 + b
-13 = b
The y intercept is -13. So the equation is:
y = 4x - 13.
Hope this helps

is 24L greater than 240ml

Answers

Answer:

yes

Step-by-step explanation:

24L (litres) = 24000 ml

1L = 1000 ml

hope this helps!

Answer:

Yes

Step-by-step explanation:

We know that,

1 Litre = 1000 milliliters

Then,

24 L

= 24 * 1000

= 24000 mL

Also,

24000 mL > 240 mL

So,

Yes,  24L IS greater than 240ml.

[tex]\rule{150pt}{2pt}[/tex]

-15=8z + 7 slove for z

Answers

Answer:

-11/4

Step-by-step explanation:

Answer:

- 2.75 is the answer

Step-by-step explanation:

-8z = 7 + 15

- Z = 22 / 8

- Z = -2.75

Compare using >,<,or=.
2/3 and 9/12

Answers

9/12= 3/4

2/3 and 3/4
Now 2*4=8 and 3*3=9
Since 9>8
So 2/3 <9/12

*100 points* pls help on this edulastic, brainly community. Answer the questions in the pic.

Answers

Answer:

  4. 48, 24, 12

  21. A, B, B, C

Step-by-step explanation:

There are two different questions here. One where you get to make up an exponential function and write a table of values. The other is a statistics problem in which you compare 5-number summaries.

__

Exponential Function

For the function f(x) = a·b^x, the value of f(0) is 'a'. The given table shows a=96. The only requirement for choosing 'b' is that it not be 1. We can choose b=1/2, and our table will be ...

  y = 96·(1/2)^x

  [tex]\begin{array}{c|cccc}x&0&1&2&3\\y&96&\boxed{48}&\boxed{24}&\boxed{12}\end{array}[/tex]

For each increase of x by 1 unit, the value of y is cut in half.

__

Statistics

The attachment shows you how to find the answers to the questions.

The median is the bar in the middle of the box. The values for the different teams are ...

A: 78B: 86C: 82

Team A has the lowest median; Team B has the highest median.

The interquartile range (IQR) is the length of the box. For the different teams, the values are ...

A: 88-74 = 14B: 90-78 = 12C: 86-70 = 16

Team B has the smallest IQR; Team C has the largest.

Use the scenario and elimination by multiplication to answer the question.
At lunch, Marc bought 2 quesadillas and 2 tacos for $10.16, and Jason paid $11.84 for 5 tacos and 1 quesadilla. What was the cost of each taco and quesadilla? Let the cost of a quesadilla be x and the cost of the taco be y.

A. The quesadillas cost $3.11 each, and the tacos cost $1.69 each.
B. The quesadillas cost $1.57 each, and the tacos cost $3.45 each.
C. The quesadillas cost $3.39 each, and the tacos cost $1.69 each.
D. The quesadillas cost $3.39 each, and the tacos cost $1.57 each.

Answers

Answer:
C
Explanation:
You could solve this in the elimination way that I have been done in here.

I use Jason as an example that he paid $11.84 for 5t ( tacos ) + 1q ( quesadilla )
Therefore we could do the elimination if the taco cost 3.45 x 5 = 17.25, would be over the cost.

-> Cross B answer

Then we take 1.57 x 5 = 7.85. 11.84 - 7.85 = 3.99, which it is not 3.39 => Cross D answer.

Therefore the cost of tacos need to be 1.69 because there have been a repetition in both A& C

1.69 x 5 = 8.45. $11.84 - 8.45 = $3.39 for quesadillas.

Which it proves for the answer is C

Hope I have helping you on this question

Which expression is equivalent to (-3m-2n³)²(4mn²p-4)?

Answers

Answer:

36

m

3

n

2

p

36

m

2

+

48

m

2

n

5

p

48

m

n

3

+

16

n

8

m

p

16

n

6

Step-by-step explanation:

-14 < 3 + 1 < 13 answer inequality

Answers

Answer: -14 < 1 < 3< 13

Step-by-step explanation:

This is the order from the lowest to greatest

Scott wants to fence three sides of a rectangular exercise yard for his dog. The fourth side of the exercise yard will be a side of the house. He has 200 feet of fencing available. Find the dimensions that will enclose the
maximum area.
a
The fence parallel to the house is
the yard is
feet, the fence perpendicular to the house is
feet and the area of
square feet

Answers

Answer:

66 2/3     66  2/3      4 444.44 ft^2

Step-by-step explanation:

the largest area will be a square

200/3 = 66 2/3 feet  side length

Which function has an inverse that is also a function?
O {(-4, 3), (-2, 7), (-1, 0), (4, -3), (11, -7)}
O ((-4, 6), (-2, 2), (-1, 6), (4, 2), (11, 2))
O {(-4, 5), (-2, 9), (-1, 8), (4, 8), (11, 4)}
O ((-4,4), (-2, -1), (-1, 0), (4, 1), (11, 1)

Answers

keeping in mind that a function does not have any X-Repeats, that is, the 1st coordinate in every pair never repeats, well, in this case, all of them have no X-repeats, that means all of them are functions.  However, only one-to-one functions have an inverse that is also a function.

A one-to-one function is one that has no X-repeats as well as no Y-repeats, so each pair in the set has no coordinate repeats, Check the picture below.

For an ordered pairs to represent has an inverse a that is function, It shouldn't show one-to-many relation in the pairs. The answer is   {(-4, 3), (-2, 7), (-1, 0), (4, -3), (11, -7)} represents a function.

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

The set of all potential values that the function would be return when the domain is provided as input is the definition of range.

The one-to-one function has inverse where the inverse is the function.

That is, should be unique output for each input values.

{(-4, 3), (-2, 7), (-1, 0), (4, -3), (11, -7)} in this option, There are no one-to-many relations. So, It is a function.

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Find the volume of the solid.
3 cm
2 cm
6 cm
4 cm
4 cm
2 cm
7 cm

Answers

Answer:

8064cm.

Step-by-step explanation:

When trying to find volume,All you have to do is multiply all the numbers.

Answer:

3 x 2=6 x 6 = 36 x 4 = 144 x 4 = 576 x 2 = 1152 x 7 = 8064

Step-by-step explanation:

2 in 4x = 2 in 8 What is the true solution to

Answers

Answer:

2In4x= 2In8 ln(16x^2) = ln64 Multiply e by both sides.

Step-by-step explanation:

50 points
Please show work !!!

Answers

sinx = 3/5 = opposite side/hypotenuse
cosx = 4/5 = adjacent side/hypotenuse
5^2 = 4^2 + 3^2
25 = 16 + 9

sin(x/2) = + or - sqr(1-cosx)/2 = + sqr(1-4/5)/2 = - sqr(1/5/2) = sqr(1/10), ignore the negative root as x is in the 1st quadrant, and so is x/2.

sin(x/2) = 1/sqr10 = sqr10/10 = about 3.16/10 = 0.316

simplify 4 times the square root of 6 divided by the square root of 30 by rationalizing the denominator. show your work.

Answers

Answer:

4*[tex]\sqrt{5}[/tex]/5

Step-by-step explanation:

(4*[tex]\sqrt{6}[/tex])/[tex]\sqrt{30}[/tex]

This is my interpretation, although the question could also be interpreted as 4 * ([tex]\sqrt{6}/\sqrt{30}[/tex])

Multiply the nominator and denominator by sqrt 30

4* sqrt 6 * sqrt 30/ 30

4 * sqrt 6 * sqrt 6 * sqrt 5/30

24*sqrt 5 / 30

4*sqrt5/5

3500 people attend a show. The
next time the show is on the amount
of people has increased by 142%. Find
out how many people are at the
second show.

Answers

Answer:

8470 people are at the second show

What is the metric system based on

Answers

metric system, international decimal system of weights and measures, based on the metre for length and the kilogram for mass, that was adopted in France in 1795 and is now used officially in almost all countries.

(08.06)The dot plot shows how many swimmers are in each line at a waterpark:

Dot plot titled Swimmers in Line and labeled Number of Swimmers shows a number line from 1 to 10. There is 1 dot over 1, no dots over 2, 3, 4, 5 and 6, 2 dots over 7, 4 dots over 8, 6 dots over 9, and 5 dots over 10.

Answers

Answer:

The answer is

A. Median, because the data are skewed and there is an outlier

Step-by-step explanation:

Answer:

The answer is median, because the data is skewed and there is an outlier.

Step-by-step explanation:

A deposit of $2,960 is placed into a scholarship fund at the beginning of every six months for 13 years. The fund earns 7% annual interest, compounded biannually, and paid at the end of the six months. How much is in the account right after the last deposit? Select the correct answer below:

Answers

Answer:

where are the awnsers??

The value of the initial deposit is $2,960, so a1=2960. A total of 26 six-month deposits are made in the 13 years, so n=26. To find r, divide the annual interest rate by 2 to find the biannual interest rate and add 1 to represent the new biannual deposit.

r=1+0.072=1.035

Substitute a1=2960, n=26, and r=1.035 into the formula for the sum of the first n terms of a geometric series and simplify to find the value of the annuity.

S26=2960(1−1.03526)1−1.035≈122286.78

Therefore, the account has $122,286.78 after the last deposit is made.

PLEASE ANSWER A AND B, GIVING BRAINLIEST!

Answers

Answer:

  a)  V = (8 -4/3π)r³

  b)  2048(2 -π/3) cm³ ≈ 1951.34 cm³

Step-by-step explanation:

When a sphere is placed in a box the empty space volume is the difference between the box volume and the sphere volume. Here, the box is a cube with the same outside dimensions as the sphere.

__

a. (formula)

The side length of the cube is 2r, where r is the radius of the sphere. So, the volume of the cube is ...

  V = s³ = (2r)³ = 8r³

The volume of the sphere is given by the formula ...

  V = 4/3πr³

The volume of the empty space is the difference of these:

  V = (8r³) -(4/3πr³)

  V = (8 -4/3π)r³ . . . . . . . formula for the empty volume

__

b. (empty space)

For r=8 cm, the empty volume is ...

  V = (8 -4/3π)(8 cm)³ = 4(2 -π/3)(512 cm³)

  V = 2048(2 -π/3) cm³ ≈ 1951.34 cm³ . . . . empty volume

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