Please help! What is the area in square units?

Please Help! What Is The Area In Square Units?

Answers

Answer 1

9514 1404 393

Answer:

  103 square units

Step-by-step explanation:

There is a way to find the area by counting grid points, but the fairly large number of them suggests that could be both tedious and prone to error. Instead, we'll chop up the figure into a trapezoid and two triangles.

From the top corner of the right edge draw a horizontal line across the figure. This will make the bottom portion a trapezoid and the top portion two triangles. The length of that horizontal line is 13 units, the height of the trapezoid, and the sum of the triangle bases.

The bottom trapezoid has a left-side base of 7 units and a right-side base of 6 units. Its area is ...

  A = 1/2(b1 +b2)h

  A = 1/2(7 +6)(13) = 1/2(13)(13) = 169/2 = 84.5 . . . square units.

The right top triangle has a base of 11 and a height of 3, so its area is ...

  A = 1/2bh

  A = 1/2(11)(3) = 33/2 = 16.5 . . . square units

The left top triangle has a base and height of 2 units each, so its area is ...

  A = 1/2(2)(2) = 2 . . . square units

Then the total area of the figure is ...

  84.5 +16.5 +2 = 103 . . . square units

_____

Check

Here is the check by counting grid points. The number of grid points on the outline of the figure is i=22. The number of grid points inside the figure appears to be b=93. Then the area by Pick's theorem is ...

  b +i/2 -1 = 93 + 22/2 -1 = 103 . . . square units


Related Questions

Mary needs a laptop. She decided to barrow one on hire purchase. The marked price of the laptop $100, 200 and she had to pay a deposit of 10% of the marked price. If the total hire purchase price of the laptop is $142, 020 after a 5 year payment plan, how much was Mary’s monthly payments?

Answers

Answer:

2, 367

Step-by-step explanation:

142,020 / 5 = 28, 404

28, 404 / 12 = 2, 367

Tiana's birthday party costs $2 for every guest she invites. How many guests can there be,
at most, if Tiana can afford to spend a total of $8 on her birthday party?
guests

Answers

Answer:

ok so if it cost 2 dollars per guest here what that would look like

1 guest:2$

2 guest:4$

3 guest:6$

4 guest:8$

so she can invite 8 guest

Answer:

4 guest

Step-by-step explanation:

2 dollars for every guest and the budget is $8 so, $2 x 4 guest meets the budget of $8

could someone help me out

Answers

Answer:

-

x -4. 1 6 11

y -3 -2 -1 0

-7 -7 +5 11

!! PLEASEEEEE HELP !!!

Answers

DF,GA,FD,and BC

f is for friends who do stuff together u is for you and me n is for anywhere and anytime down here in the deep blue sea

5 + 3 = 28
9 + 1 = 810
8 + 6 = 214
5 + 4 = 19
then, 7 + 3 = ???

Answers

Answer:

410 is the answer

Step-by-step explanation:

subtract the two digits to get the left most digit of the solution. then add the two digits to get remainder of solution.

ex as we know 5-3=2 and 5+3=8 in the given question

5 + 3 = 28

The answer is 410.

How?

A+B =CD

C=(A-B) , D(A+B)

5 + 3 = (5-3)(5+3) = 28

9 + 1 = (9-1)(9+1) = 810

8 + 6 = (8-6)(8+6) = 214

similarly

7 + 3 = (7-3)(7+3) = 410

The equation of a linear function in point-slope form is y-y1=m(x-x1). Harold correctly wrote the equation y=3(x-7) using a point and the slope. Which point did Harold use ?

Answers

Answer:

(7, 0).

Step-by-step explanation:

We have   y =  3(x - 7)

y = 3x - 21

Point-slope form is

y - y1 = 3(x - x1)

y  -  y1 = 3x - 3x1

Comparing this to the equation y = 4x - 21 we see that y1 = 0 and x1 = 7.

Answer:

(7,0)

Step-by-step explanation:

correct on edge

how to solve 11/8 ÷ 4/9

Answers

[tex]3.09375[/tex] ✅

Step-by-step explanation:

[tex] \frac{11}{8} \div \frac{4}{9} \\ = \frac{11}{8} \times \frac{9}{4} \\ = \frac{11 \times 9}{8 \times 4} \\ = \frac{99}{32} \\ = 3.09375[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

area of a circle with a diameter of 8 inches

Answers

Answer:

8 divided by two equals the radius 4

3.14*4^2=50.24

Hope This Helps!!!

Which graph represents the equation 2x + y = 2

Answers

It is D because it is the left direction

GIVING OUT BRAINLIEST !! HELP ME OUT PLSS

Answers

Answer:

It forms a cylinder.

Hope this helped.

8. If a parallelogram has an area of
115 square units and a base length of
12, what is the height of the
parallelogram, to the nearest
hundredth?

Answers

9514 1404 393

Answer:

  9.58 units

Step-by-step explanation:

The area is given by the formula ...

  A = bh

Solving for height, we get ...

  h = A/b

Filling in the given values, we find the height to be ...

  h = (115 u²)/(12 u) ≈ 9.58333... u

The height is about 9.58 units.

graph the function h (x)=4x-7

Answers

Answer:

abcdefghijklmnopqrstuvwxyz

Step-by-step explanation:

zyxwvutsrqponmlkjihgfedcba

Four different sets of objects contain 2,5,6 and 7 objects respectively how many unique combinations can be formed by picking one object from each set

Answers

Answer:

420 unique combinations.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

One object from each set:

2 from one set, 5, 6 and 7 by others. Sets are independent, so, by the fundamental counting principle:

2*5*6*7 = 10*42 = 420

420 unique combinations.

Can someone please help me with and explain this?

Answers

Answer:

A

Step-by-step explanation:

Point R is (1, 5).

The transformation (x + 1, y - 1) denotes a translation of one unit to the right and one unit downwards.

Simply add one to the x-coordinate and subtract one to the y-coordinate of R. Hence:

[tex]R'=((1)+1, (5) -1)=(2, 4)[/tex]

Next, we want to dilate RUST by a scale factor of three. Since the dilation is centered on the origin, we can simply multiply each coordinate by three. This yields:

[tex]R'=(3(2), 3(4))=(6, 12)[/tex]

Our answer is A.

Write the equation in slope-intercept form of the line that includes the point (3,2) and has a slope of 4/3.

Answers

Answer:

[tex] y = \frac{4}{3}x - 2 [/tex]

Step-by-step explanation:

Given:

Slope (m) = ⁴/3

Point on the line = (x, y) = (3, 2)

Required:

Write the equation in slope-intercept form which is y = mx + b

Solution:

Since we know the slope(m), we need to find the y-intercept (b).

This, substitute (x, y) = (3, 2) and m = ⁴/3 into y = mx + b, and solve for b. Thus:

2 = ⁴/3(3) + b

2 = 4 + b

2 - 4 = b

-2 = b

b = -2

To write the equation, substitute m = ⁴/3 and b = -2 into y = mx + b

[tex] y = \frac{4}{3}x - 2 [/tex]

HELP PLSSSS I will GIve BRainlyest

Answers

Answer:

The independent is the weight of all the people already on the elevator and the dependent variable is the weight of the elevator after you get on.

Answer:

First fill in the blank answer - Dependent. Second fill in the blank - Indepenent

Step-by-step explanation:

So there are two different variables you need to know here:

The indenpenent variable - It is a variable that affects the dependent variable, however it can be changed in a experiment of project by the person.

The dependent variable - It is the variable that is affected by the independent variable, and varies throughout the expeirment.

In this case, the total weight after you get on depends on how heavy everyone else is before you get in the elevator.

This makes sense, because p cannot be changed, but with the addition of 132, effects the outcome, t.

So this means that the total wieght is the dependent variable.

The independent variable, on the other hand, changes to coutcome of how heavy to elevator is.

So this means the weight of the people in the elevator is the independent variable.

Hope this helps!

(c) The shape ABCD is one face of a cuboid.
The depth of the cuboid is 5 cm.
What is the surface area of the cuboid?

Answers

Answer:

150cm

Step-by-step explanation:

depth is 5 cm, so the area of one of the faces is 25 cm. theres 6 faces so 25*6= 150

A sum of J$300 is divided in the ratio 2 : 3. Calculate the amount of the LARGER share. ​

Answers

9514 1404 393

Answer:

  J$180

Step-by-step explanation:

The ratio of the larger share to the total is ...

  3 : (2 +3) = 3 : 5

Then the larger share is ...

  (3/5)(J$300) = J$180

Which word describes the slope of the line?
positive
negative
zero
undefined

Answers

Answer: zero

Step-by-step explanation: For any horizontal or flat line, the slope is always zero

(01.02 LC)Which of the following describes a function of a satellite? Helps scientists track weather Measures latitude and longitude Calculates the altitude of landforms Determines population in a city​

Answers

Answer:

A. Helps scientists track weather

Step-by-step explanation:

Have you seen those weather guys on TV showing clouds and stuff, they got them via satellite or at least if there are animations, those are possible because they can see what the clouds or other stuff look like via satellites.

Answer:

Helps scientists track weather. Hope it helps, hun!

Stay happy-Lydia

Step-by-step explanation:

Need help *URGENT*
7th grade
Vertical Angles

Answers

Answer:

EBC = 90

FBG = 25

ABF = 115

ABG = 140

EBG = 50

Hope that helped :)

Find the difference.
(-ab+3a-3) - (3ab+2)

Answers

Answer:

3a-4ab-5

Step-by-step explanation:

(-ab+3a-3) - (3ab+2)

Distribute the minus sign

(-ab+3a-3) - 3ab-2

Combine like terms

3a-4ab-5

Answer:

[tex]-4ab+3a-5[/tex]

Step-by-step explanation:

Hi there!

[tex](-ab+3a-3) - (3ab+2)[/tex]

Open up the parentheses

[tex]-ab+3a-3- 3ab-2[/tex]

Combine like terms

[tex]-ab- 3ab+3a-3-2\\-4ab+3a-5[/tex]

I hope this helps!

Water runs from a faucet into a bucket at a steady rate. After 4 seconds, there are 32 ounces of water in the bucket. Write an equation that shows the relationship between time and ounces of water. Use t for time in seconds and w for ounces of water.

Answers

9514 1404 393

Answer:

  w = 8t

Step-by-step explanation:

If we assume that the ounces of water are proportional to the time, then the equation will look like ...

  w = kt

for some constant k.

Solving for k, we find ...

  k = w/t

Using the given values, we find k to be ...

  k = (32 ounces)/(4 seconds) = 8 ounces/second

The units are stated in the definitions of the variables, so we can write the equation as ...

  w = 8t

If Ryuk eats 7 apples for every 50 names Light writes in the death note, how many apples will he have eaten after Light writes 500 names in the death note?

Answers

Answer:

70 apples

Step-by-step explanation:

We can use a ratio to solve

7 apples        x apples

--------------  = -------------

50 name     500 names

Using cross products

7 * 500 = 50x

Divide by 50

7 * 500/50 = 50x/50

70 =x

Answer:

70 apples he will have eaten after 500 names light writes in the death note.

Step-by-step explanation:

Given : -

Ryuk eats 7 apples for every 50 names Light writes in the death note.

To Find :-

how many apples will he have eaten after Light writes 500 names in the death note?

Solution :-

Let be x is the no. of aaples will have eaten after light writes 500 names in the death note..

7 apples = 50 names

x apples = 500 names

Using cross multiplication method

7 × 500 = 50 × x

3500 = 50 x

Divide each side by 50

3500 / 50 = 50 x / 50

70 = x

Hence, 70 apples he will have eaten after 500 names light writes in the death note.

One side of triangle is 5x-2 another side is 6x+7 and t is the length of third side then what is true about length of t

Answers

Answer:

[tex]t = \sqrt{ {(5x - 2) {}^{2} + (6x + 7)}^{2} } [/tex]

Can anyone tell me what the volume of this is? ​

Answers

Answer:

[tex]301.44[/tex]

Step-by-step explanation:

Formula for volume of a cylinder:

[tex]V=\pi r^{2}h[/tex]

[tex]V=(\pi )(4)^{2} (6)[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]V=(3.14)(4)^{2} (6)[/tex]

[tex]V=301.44[/tex]

hope this helps....

Step-by-step explanation:

[tex](301.44ft^2 ) \: Answer ✓✓\\ \\ here \: is \: your \: solution : - \\ \\ we \: need \: to \: find \: volume \: of \: cylinder \: \\ \\ volume \: of \: cylinder \: = \pi \: r {}^{2} h \\ \\ \pi = 3.14 \\ \\ radius \: of \: cylinder \: = 4ft \\ \\ height \: of \: cylinder = 6ft \\ \\ volume \: of \: cylinder \: = 3.14 \times (4 {}^{2} ) \times 6 \\ \\ volume \: of \: cylinder = \: 301.44ft {}^{3} \: [/tex]

I got zero, but that’s wrong.
I multiplied-25,000 x 40% and 25,000 x 25% and 40,000 x 35%

They all were zero. Can you help me figure out where I went wrong?

Answers

Answer:

Expected value is 4,000

Step-by-step explanation:

To find expected value ⇒ multiply the value by it's probability

40% × ( -25,000 ) = - 10,000

Breaking means neither add nor subtract a given amount

20% × 0 = 0

35% × 40,000 = 14,000

∴ Expected value = -10,000 + 14,000 = 4,000

LOSS:                   -10,000

BREAK EVEN:       0

WIN:                       14,000

Expected value is 4,000

hope this helps....

Which summation formula is equivalent to the one below?
^3Σn=0 (-1/5)^n (25)

Answers

Answer:

It's A

Step-by-step explanation:

Because it's A

Answer:

A

Step-by-step explanation:

3 ∑ n=0 (-1/5)^n x 25 = 104/5

option A also = that so A

using approximations to 1 significant figure, estimate the value of 0.482 times 61.2 squared divided by 98.01.

Answers

Answer:

18.4

Step-by-step explanation:

0.482 * (61.2)^2 = 1805.30208

1805.30208 ÷ 98.01 = 18.4

Help find the slope of the line.

Answers

Answer:

b) slope of the given line is m = - 3

Step-by-step explanation:

(x1 , y1 ) = ( 1 ,2 ) , ( x2 , y2 ) = ( 3, - 4 )

Slope m = y2 - y1

x2 - x1

m = - 4 - 2. = - 6 = - 3

3 - 1 2

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