in november 1958 the cover scientific american showed this diagram on its cover. Each of the interior rectangles is a square. if square D is 81 spuare units and square c is 64 square units what is the area of the other seven squares? what is the area of the of the entire figure? what is the perimeter of the figure

Answers

Answer 1

From the 32 by 33 rectangular figure, having interior squares, we have

The area of the squares in square units are;

A = 324 B = 225E = 100F = 196G = 16H = 49I = 1

Area of the entire figure = 1056

The perimeter of the figure = 130 units

How can the area and perimeter be found?

The areas in square units are;

Area of square A = 18 × 18 = 324

Area of square B = 15 × 15 = 225

Area of square E = 10 × 10 = 100

Area of square F = 14 × 14 = 196

Area of square G = 4 × 4 = 16

Area of square H = 7 × 7 = 49

Area of square I = 1 × 1 = 1

Area of a rectangle = Length × Breadth

Therefore;

Area of the entire figure = 32 × 33 = 1056

Area of the entire figure = 1056 square units

The perimeter, P, of the rectangular figure is therefore;

P = 2 × 32 + 2 × 33 = 130

The perimeter of the figure = 130 units

Learn more about finding the area of plane figures here;

https://brainly.com/question/2669479


Related Questions

Find the volume of a box that has a length of 8.9 cm, a
width of 4 cm, and a height of 10.6 cm.

Answers

Answer: 377.36cm^2

Step-by-step explanation:

1. find proper equation. to find the volume of any three dimensional cube or box, use: length * width * height

2. plug in given numbers into the equation: 8.9cm * 4cm * 10.6* which gives us our answer, 377.36cm^2

hoped this helped! ♡

Leon and Omar went to grab ice cream after track practice. They each chose a container shaped like a cone or a cylinder. The dimensions of each container are shown in the drawing.

Answers

The volume of the cone and cylinder with a radius of 7 cm and height of 10 cm is 513.33 cm³ and 1540 cm³ respectively.

What is volume?

Volume is the amount of space occupied by a three dimensional shape or object.

Let us assume the cone and cylinder has a radius of 7 cm and height of 10 cm, hence:

Volume of the cone = (1/3) * π * radius² * height = (1/3) * π * 7² * 10 = 513.33 cm³

Volume of the cylinder = π * radius² * height = π * 7² * 10 = 1540 cm³

The volume of the cone and cylinder with a radius of 7 cm and height of 10 cm is 513.33 cm³ and 1540 cm³ respectively.

Find out more on volume at: https://brainly.com/question/12410983

How to illistrate 1/3×1/2

Answers

Answer:

=1/6

Step-by-step explanation:

thats the answer

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heart

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pleassseee

I need help with this question

Answers

                                                                                                                                                               

Step-by-step explanation:

                           

PLEASE HELP PLEASE I WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

This is a quadrilateral.

Sum of all angles of a quadrilateral = 360

x + 100 + 60 + 95 = 360

        x  + 255       = 360

                        x = 360 - 255

                        x = 105°

Answer:

Angle X= 105 Degrees

Step-by-step explanation:

1. Create Equation

100+60+95+x=360

2. Solve

100+60+95+x=360

160+95+x=360

255+x=360

255-255+x=360-255

x=105

3. Check

100+60+95+105=360

160+95+105=360

255+105=360

360=360

Correct!

4. Answer

x=105

Christy bought a 9- foot piece of lumber trim bookshelf. Altogether, she needs 100 inches of lumber. Did Christy buy enough lumber? Show your work and explain.

Answers

Answer:

Yes.

Step-by-step explanation:

because 9 feet converted to inches equals 108 inches, we know this because we can convert feet to inches via multiplication. To do this, simply multiply the given number (9) by 12 to get your answer.

PLEASE HELP ME
( I WILL MARK BRAINLIEST )

Answers

the numbers are 15, 17 and 19

Every 24 hours, the earth rotates 360° about its axis. How
long does it take to rotate 150°?

A. 8 h

B. 10 h

C. 18 h

D. 20h

Answers

360 degrees / 24 hours = 15 degrees per hour


150 degrees / 15 degrees per hour = 10 hours


Answer: 10 hours

solve for x ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]


thankyou ~​

Answers

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x= 3, 2

[tex]\boxed{\bold{x = 2, 3}}[/tex]

Stepwise Solving:

[tex]\rightarrow \sf x^2-5x + 6 = 0[/tex]

[tex]\sf use \ the \ formula : x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ ax^2 + bx + c = 0[/tex]

Identify the coefficients:

a = 1b = -5c = 6

Solve for x:

[tex]\dashrightarrow \ \sf x=\dfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4 \ x \ 1 \ x \ 6}}{2 \ x \ 1}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right\pm \sqrt{\left25-24}}{2}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right\pm \sqrt{1}}{2}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right\pm1}{2}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right+ 1}{2} \ , \dfrac{\left5\right- 1}{2}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{6}{2} \ , \ \dfrac{4}{2}[/tex]

[tex]\dashrightarrow \ \sf x= 3, \ 2[/tex]

Hey ! Can anyone help me solve these problems please. Thank you !

Answers

The answer to solve these problems is that the full circle is 360 degrees, the way to find the answer is to have to equal sides that equal 360 degrees. That means one half of 360 degrees is 180 degrees. Hope this helps.

Help help help ASAP sap

Answers

Answer:

132

Step-by-step explanation:

since they are 180 degrees subtract

Answer:

132

Step-by-step explanation:

since this is a 180 degree angle ABC will be

180-48

132

The ingredients for your skillet brownie cost $1.89. You want your food cost percentage for this item to be 30% or lower. What's the lowest price you can charge? Round to the nearest cent.

choices:
a.
$5.98

b.
$6.00

c.
$5.67

d.
$6.30​

Answers

Answer:

Your want your food cost forthis item to be 30% or lower. What's the lowest price you can charge? Round to the nearest cent.

1 answer

·

1 vote:

$2 / 0.3 = $6.67Check:$6.67 * 0.3 = $2 :)

Missing: choices: ‎$5.98 ‎$6.00 ‎c. ‎$5.67 ‎d. ‎$6.30​

Step-by-step explanation:

The lowest price you can charge is $6.30

How to determine the cost?

We have:

Skillet brownie = $1.89Percentage of food cost = 30% or lower

The lowest price you can charge is calculated as:

Lowest = Skillet brownie/Percentage

This gives

Lowest = $1.89/30%

Evaluate

Lowest = $6.30

Hence, the lowest price you can charge is $6.30

Read more about percentages at:

https://brainly.com/question/843074

#SPJ9

find x and y. use proper postulates or theorems to justify your answer

Answers

Answer:

x = 110

y = 23

Step-by-step explanation:

For X :

100 = x -10

110 = x

Corresponding angles are equal

For Y :

180 - 110 = 70

(2y + 24) = 70

2y = 46

y = 23

Adjacent Angles on a straight line add up to 180 Degrees

a railroad crossing sign has a diameter of 30 inches. what is the area of the sign?

Answers

Answer:

706.5m^2

Step-by-step explanation:

The sign is a circle

Area of a circle is (pi)r^2

d = 30 in -> r = d/2  = 30/2 = 15

Area = 3.14 x (15)^2 = 706.5m^2

Answer:

about 706.5 or 706.86

Step-by-step explanation:

to find this answer we need to use the area formula of a circle which is A = πr ^2

we know the diameter is 30, and the radius is half the of diameter, so we take 30 and divide it by 2, which should give us 15 for the radius. ( 30/2 = 15, so r = 15)

depending on how your teacher wants u to answer this you can use π on a calculator or use 3.14

now just plug in your numbers to formula

A = 3.14 * 15^2 or A = π * 15^2

and should equal about 706.5 or 706.86 (depending on if you use 3.14 or π)

Mary and Jane went on a tour together. Mary brought twice as much money as Jane. After Mary had spent $800 and Jane had spent $240, they had equal amount of money left. How much money did Mary have at first?

Answers

Answer:

Mary has $1120

Step-by-step explanation:

money mary has at first : x

money jane has at first : y

Mary brought twice as much money as Jane : x=2y

Mary had spent $800 and Jane had spent $240, they had equal amount of money left : x-800=y-240

=> [tex]\left \{ {{x=2y} \atop {x-800=y-240}} \right.[/tex]

=> x=1120

y=560

Answer:

Mary had $1,120

Step-by-step explanation:

Let the amount mary and jane had be 2x and x respectively.

Let the equal amount be y:

[tex]mary \: (y = 2x - 800) \\ jane \: (y = x - 240)[/tex]

Using the simultaneous equation method, multiply the first equation by the coefficient of x(1) of the second equation and the second equation by the coefficient of x(2) of the first equation:

[tex]y = 2x - 800 \\ 2y = 2x - 480[/tex]

Subtract the second equation from the first equation:

[tex] - y = - 320 \\ y = 320[/tex]

$320 was their equal amount.

Substitute 320 for y in any equation:

[tex]y = x - 240 \\ 320 = x - 240 \\ x = 320 + 240 \\ x = 560 \\ \\ 2x = 1120[/tex]

Therefore, Jane had $560 at first and Mary had $1120 at first.

Explain how you would add 38+45

Answers

Answer:

83

Step-by-step explanation:

first add whatever is in the 1's place so for 38, 8 is in the 1's place and for 45, 5 is in the 1's place

so first it will be 8+5 which is 13 so you are going to carry the 1 over to the tens place so now it will be 30 + 40 + 10 and that equals 80 so you add 80 and 3 which looks like 80+3 and that equals 83

Find the output, y, when the input, z, is 6.
8+
6+
4+
A
H
.
4
-2
2
4
6
6
8
-2-
-4+
-6-1
87
Report a problem

Answers

Answer:

when the x input is 6 the y output is 7

a/-3=18 what does a equal?

Answers

Answer:

I believe a is equal to -54

Write the linear inequality shown in the graph. The gray area represents the shaded region.

x > –3
y ≥ –3
y > –3
x ≥ –3

Answers

Answer:

y > –3

Step-by-step explanation:

by looking at the graph we notice that the (shaded/gray) area which we are focusing on covers all the values of x ,on the other hand it only covers the values of y which they are Greater than -3

Remark : y > -3 not y ≥ -3 because the line that separates the shaded region and the other one is a broken line.

Answer:

y > –3

Step-by-step explanation:

What is the area of the parallelogram shown? A) 60in B) 120in C) 140in D) 180in. + What is the area of a parallelogram that has a base 5 inches longer and the height 5 inches taller than a parallelogram shown? A) 230in B) 260in C) 290in D) 310in.

Answers

120 in sq.  ,   260 in sq.Step-by-step explanation:question 1.area of a parralelogram = perperndicular height x basetherefore area = 8in x 15 inarea is 120in sq.question 2.the second parallelogram dimensions are as followsheight = 8 in +5 in = 13 inbase = 15in + 5in = 20therefore area = 13x20area = 260 in sq.

If measure of angle T= (2x + 85), measure of angle V= (5x + 29), and
the sum of the measures of the angles is
93°, find the measure of each angle.

Answers

Answers:

Angle T = 79 degrees

Angle V = 14 degrees

=========================================================

Work Shown:

T + V = 93

(2x+85) + (5x+29) = 93

7x+114 = 93

7x = 93-114

7x = -21

x = -21/7

x = -3

This x value is used to find each angle mentioned.

Angle T = 2x+85 = 2(-3)+85 = -6+85 = 79 degreesAngle V = 5x+29 = 5(-3)+29 = -15+29 = 14 degrees

As a check, T+V = 79+14 = 93 which confirms our answers.

Answer:

An alternate interior angle, c, 180 degrees

Step-by-step explanation:

did it

what is the area of the figure?

Answers

Answer:

182 m

Step-by-step explanation:

The shape is a trapezoid. The area of the trapezoid formula is [tex]\frac{a + b}{2}h[/tex].

The two bases (AKA a and b) are 8 + 18.

The height is 14.

[tex]\frac{18+8}{2} 14[/tex], Add 18 + 8

[tex]\frac{26}{2}14[/tex], Divide 26 by 2

[tex]13 *14[/tex], 182

A department store has 950 customers one day, and 82% of customers made a purchase. Of the customers who made a purchase, 528 bought just one item, 186 bought two items, and the remainder bought three or more items. How many customers bought three or more items?

Answers

Answer:

65 bought 3 or more items.

Step-by-step explanation:

See attached summary.  The total purchasing customers was 779 (0.82*950).  Use the percentages to calculate calculate the numbers of customers who purchased one and two items (528 and 186).  Add those and subtract from the total number of customers who purchased anything (779) , to arrive at the number who bought three or more items.  65 bought three or more items.

What does 5/x = 7/x+2 equal?
Solve by cross multiplying.
(5 over x and 7 over x+2)

Answers

Answer:

I have no idea ask 567 9922 mathe teacher

Hey there!

[tex] \rm{\frac{5}{x} = \frac{7}{x + 2} }[/tex]

Solve:--

[tex] \sf\rightarrow \: (7)(x) = (5)(x + 2)[/tex]

[tex] \sf\rightarrow \: 7x = 5(x + 2)[/tex]

[tex] \sf\rightarrow \: 7x = 5x + 10[/tex]

[tex] \sf\rightarrow \: 7x - 5x= 5x + 10 - 5x[/tex]

[tex] \sf\rightarrow \: 2x= 10 [/tex]

[tex] \sf\rightarrow \: \frac{ 2x}{2}= \frac{10 }{2}[/tex]

[tex] \sf\rightarrow \: x= 5[/tex]

~Done~

Farah has been saving money for years. Pearl's money is 3 times as much as
3
5
of Farah's money. They have $672 altogether. How much does Farah have now?

Answers

Answer:

$168

Step-by-step explanation:

x + 3x = 672

4x = 672

x = 672 / 4

x = 168

Farah has $168

Can you help me out?

Answers

1) Unanswered (Sorry)

2) Find the cost of a four-line ad
[tex]x = 4 \\Therefore,\\c(4) = 30[/tex]

3) Find the cost of a ten-line ad
[tex]x = 10\\Therefore,\\c(10) = 30 + 5(x - 4)\\c(10) = 30 + 5x - 5(4)\\c(10) = 30 + 5x - 20\\c(10) = 30 + 5(10) - 20\\c(10) = 30 + 50 - 20\\c(10) = 60[/tex]


round to the nearest hundredth

Answers

Answer:

the answer without rounding is 147 but with its 100

Step-by-step explanation:

firsts you add up both sides of the triangle and then you subtract by 180 and now that you your answer but you had to round AN anyting above 150 you would have to run to 200 but you had one 47 so it's 100

Please help me understand the problem

Answers

Answer:

y = 60 :)

Step-by-step explanation:

Triangle angle total measure: 180

We need to add upp the angles we know and subtract from the total 180, so we can figure out y.

60 + 60 + y = 180

120 + y = 180

180 - 120 = 60

y = 60

Now you know how to solve this type of problem!

Have a great day!!

Please rate and mark brainliest!!

Answer:

The value of y should be 60

Step-by-step explanation:

Tell me if its not right

How are genetic engineering and artificial selection different? (in your own words)

Answers

Artificial selection picks previously existing qualities by breeding individuals with favourable traits, whereas genetic engineering affects the genetic composition of plants or animals by adding new genes or silencing genes.

I need help with this question really badly please help.

Answers

D: of ;;;9d 38383 valise irl for 1
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