Mathematics High School

3. Q3) What is the smallest number of identical squares
that will fit in this rectangle?

Answers

Answer 1

Answer:

Minimum 3 squares.

Step-by-step explanation:

Let the number of identical squares that will fit in the rectangle = x

Sum of the area of the squares = Area of the given rectangle

x(Side length of the square)²= (length of the rectangle × width of the rectangle)

x(S)²= (40 × 90)

x(S)²= 3600 cm²

For the minimum numbers of the squares,

If x = 1,

S = √3600 = 60 cm

But the length of the rectangle is 40 cm, so can't be fitted in the rectangle.

If x = 2,

2S² = 3600

S² = 1800

S = √1800

S = 42.43 cm

Since, length of the rectangle is 40 cm, so the given square can't be fitted in the rectangle.

If x = 3,

3S² = 3600

S² = 1200

S = √1200

= 34.64 cm

Therefore, minimum 3 squares can be fitted in the given rectangle.

Related Questions

leah makes a guaranteed salary of $200 per week. but is paid commission of 15% of total sales per week. how much would leah make in a week in which she made $225 in sales?how much would leah make in a week if she made x dollars in sales

Answers

Answer:

Total earned with $225 sales = $233.75

Total earned with x sales = 0.15x+200

Step-by-step explanation:

Given that:

Base salary of Leah per week = $200

Commission paid = 15%

Sales made by Leah = $225

Commission = 15% of 225

Commission = [tex]\frac{15}{100} * 225[/tex]

Commission = 0.15 * 225

Commission = $33.75

Total earned = 200 + 33.75 = $233.75

Commission when sales are x

Commission = 0.15x

Total earned = 0.15x+200

Hence,

Total earned with $225 sales = $233.75

Total earned with x sales = 0.15x+200

Given that
a = -2, b = 5 and c = -5
work out
2b - 3ac

Answers

Answer:

- 20

Step-by-step explanation:

Given the expression

2b - 3ac ← substitute given values for a, b and c

= 2(5) - (3 × - 2 × - 5)

= 10 - 30

= - 20

Answer:

-20 is the required answer

Step-by-step explanation:

2b-3ac

=2×5-3×-2×-5

=10-30

=-20

Which equation does the graph below represent?

Answers

Answer:

Step-by-step explanation:

i think its a

Linear and nonlinear definition please help!!!

Answers

Answer:

Linear means something related to a line. All the linear equations are used to construct a line. A non-linear equation is such which does not form a straight line. It looks like a curve in a graph and has a variable slope value

Step-by-step explanation:

Please brainiest

Answer:

Linear means something related to a line that makes a straight line.A non-linear equation is such which does not form a straight line aka makes a curved or zigzag line.

6th grade math!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

plug 20 in for c

f = 1.8(20) + 32

simplify

f = 36 + 32

f = 68

so 20 degress celsius is equal to 68 degrees farenheit

hope this helps <3

Answer:

60*F

Step-by-step explanation:

AMC 10/12 Student Practice Questions
Guide to Student Practice Questions
Each of the following four large congruent squares is
subdivided into combinations of congruent triangles or
rectangles and is partially shaded. What percent of the total
area is partially shaded?
I
The original problem
and choices from the
2011 AMC 8 contest
(A) 12 (B) 20
(C) 25 (D) 33 (E) 37

Answers

Answer:

[tex]\mathrm{C.\:}25[/tex]

Step-by-step explanation:

Notice how each congruent square is divided into four equal parts. Since each square has four parts and there are four squares, there are [tex]16[/tex] of these parts in total. Because each of these parts make up [tex]\frac{1}{4}[/tex] of each square, all parts are equal. Therefore, you can count the total number of shaded parts to get your percentage.

The top left and bottom right both have one part shaded each for a total of [tex]2[/tex] parts.

The top right and bottom left have [tex]0.5[/tex] and [tex]1.5[/tex] parts shaded, respectively, for a total of [tex]2[/tex] parts.

Therefore, in total, there are [tex]2+2=4[/tex] parts shaded out of [tex]16[/tex] total parts.

Thus, the percentage of the total area that is shaded is:

[tex]\frac{4}{16}=\frac{1}{4}=\fbox{$25\%$}[/tex].

Ocean water freezes at about -2 1/2 so silly fresh water freezes at zero anti-freeze a liquid used in radiators of cars freeze at -64 imagine if the temperature has dropped to the freezing point for ocean water how many degrees more most the temperature Drop for the anti-freeze to turn solid

Answers

Answer:

Temperature needs to drop by 61.5°

Step-by-step explanation:

Given that:

Freezing temperature of ocean water = - 2.5

Freezing temperature of fresh water = 0

Freezing temperature = anti-freeze = - 64

If temperature has dropped to freezing point for ocean water, then current temperature = - 2.5

How many more degrees must the temperature drop for temperature to turn solid :

Freezing temperature of anti-freeze - current temperature

-64 - (-2.5)

-64 + 2.5

-61.5

-61.5(the temperature needs to drop by 61.5°)

Whats the value? of this equation

Answers

Answer:

Option (4)

Step-by-step explanation:

Given equation of the linear graph is,

[tex]y=-\frac{5}{8}x+\frac{2}{3}n[/tex]

By comparing this equation with the slope-intercept form of the linear equation,

y = mx + b

m = [tex]-\frac{5}{8}[/tex]

And b = [tex]\frac{2}{3}n[/tex]

Since, y-intercept 'b' = -12 [given]

[tex]\frac{2}{3}n=-12[/tex]

n = [tex]-12\times \frac{2}{3}[/tex]

n = -8

Therefore, Option (4) will be the answer.

Please help me. I will mark you as brainliest !!!

Explain how the graph of each given function is a transformation of the graph
of y = x^2

a. y = x^2 -5
b. y = -2x^2
C. y = (x - 5)^2
d. y = (-3x)^2

Answers

Answer:

A.) The function is being translated down 5 units

B.) The function is being stretched vertically stretched by 2 units

C.) He function is being translated 5 units to the right

D.) The functions being flipped and vertically stretched by 3 units

Hope this helps in some way!

x3−2=10 help plz i need help

Answers

x=4
This is because
(4)3-2=10
12-2=10
10=10
This makes the statement true!
Hope this helps have a good day!

Find the difference (1−5q)+2(2.5q+8)

Answers

Answer:

The main reason for the large population growth in Texas between 1850 and 1860 was __________.

a large increase in the birth rate

a large decrease in the death rate

settlers moving in from other places

all of the above

Please select the best answer from the choices provided

Step-by-step explanation:

Help me to find the slope and t-intercept please asap

Answers

Answer:

4/7x - 5 ________________________________________

Answer and will mark brainliest

Answers

Answer:

Step-by-step explanation:

PLES HELP MEH

What's the point of intersection of the x-axis and y-axis on a coordinate plane?

A. Coordinate plane
B. Origin
C. Ordered pairs
D. Quadrants

Answers

The answer is B. Origin

What type of function is y=2^x +8

Answers

Answer:

y = 2ˣ + 8 represents the exponential function.

The graph of the function y = 2ˣ + 8 is also attached below.

Step-by-step explanation:

We know that the general exponential function is of the form

f(x) = aˣ

were a > 0

Given the function

y = 2ˣ + 8

Comparing with y = aˣ, it is clear that the function y = 2ˣ + 8 represents the exponential function.

where a = 2

We can also determine the y-intercept of y = 2ˣ + 8 by setting x = 0, and determining the corresponding value of y.

i.e.

y = 2ˣ + 8

y = 2⁰ +8 ∵ 2⁰= 1

y = 1+8

y = 9

Thus, (0, 9) represents the y-intercept of the exponential function y = 2ˣ + 8.

Therefore, y = 2ˣ + 8 represents the exponential function.

The graph of the function y = 2ˣ + 8 is also attached below.

can someone explain how to find the slope

Answers

Answer:

slope is rise over run. first select a point. I'll use (0,-1). to get to the next complete point, you would have to go up (rise) 3 points and right (run) 1 point. the rise over run (3/1) divides evenly to 3. hope this helps!

Solve for the missing angle

A. 121 degrees

B. 79 degrees

C. 111 degrees

D. 89 degrees

Answers

The missing angle is also 111 since they’re opposite interior angles (and are equal).

3. Find the slope and y-intercept of the graph of the following equation.
2y + 4 = -6x

Answers

Answer:

slope= -3,y - intercept y = -2

Step-by-step explanation:

- Make y the subject by taking four on the opposite side of the equal sign.

2y = -6x - 4

- Divide throughout by 2 and from there you get the gradient which is also the slope.

- To get the y - intercept,the value of x =0. Thus you get y =-2.

Pls help me. It due ASAP...

Answers

Answer:

$4.75 for 18 oz

Option 2:

$11. 29 for 40 oz

The price per ounce (oz) for each option is :

Price / number of ounce

Option 1:

4.75 / 18 =

Price per ounce = $0.26388 per oz

Option 2:

$11.29 / 40 oz

= $0.28225 per oz

Y=-5x+4
-10-2(-5x+4)=12

Answers

Step-by-step explanation:

x=3

y=19

hope this helps if u need me to explain u can ask hope it helps

What fraction goes in the box to make it correct?
4/11×_=1

Answers

Step-by-step explanation:

[tex] \frac{11}{4} [/tex]

[tex] \frac{4}{11} \times \frac{11}{4} = \frac{44}{44} = 1[/tex]

if it's helpful ❤❤❤

THANK YOU.

Shan exercises daily. Today he did 85 pushups, which is 20 more than he usually does. How many pushups p does Shan usually do? Write an equation to represent this situation, and then solve the problem.

[equation]

Shan does [ ] pushups

Answers

Answer:

85 - 20 = p

Step-by-step explanation:

Answer:

Step-by-step explanation:

Equation: 85-20=65

Suzie ran a race. She ran 5 miles per hour, and the race took t hours to complete. If the race is 60 miles long, which expression represents the total number of miles Suzie will have left to complete the race? *
pLZ ANSWER QUICK !!!

Answers

The Answer: 60 ÷ 5 = T

Bradley has ordered a steak from the meat market that weighs 1 5/8 pounds. There is a bone in the steak that weighs 7/8 of a pound. How much does the meat weigh?

Answers

Answer:

3/4

Step-by-step explanation:

the bone and the steak weigh = 1 5/8 pounds

The bone weighs 7/8

The meat weighs = 15/8 - 7/8

Converting 1 5/8 to an improper fraction gives 13/8

13/8 - 7/8 = 6/8 = 3/4

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3. Q3) What is the smallest number of identical squaresthat will fit in this rectangle?​

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3. Q3) What is the smallest number of identical squares
that will fit in this rectangle?