the grid below is made up of squares with sides of 1cm draw a rectangle with an area of 12 cm squared

Answer:

pls dont kill me for wacky lines. this shall just give you a basic idea. the important part is the 90° angle

Answer:

distribute property

Step-by-step explanation:

5 is distributed into the parentheses.

5 × x = 5x

5 × (-7) = -35

5x - 35 = 55

Hope that helps.

The property used in step 1 to arrive at step 2 is the Distributive property, the correct option is A.

Product is the output of the mathematical operation Multiplication.

The Step 1: 5 (x minus 7) = 55.

Step 2: 5 x minus 35 = 55

In step 2 Distributive property is used to solve the expression.

According to Distributive property

The sum of multiplying a number by the addend of two numbers will the same result when each number which is being added is multiplied individually and then added.

a ( b+c) = a*b + a*c

5 (x -7) = 55.

5x - 35 = 55

Therefore, the distributive property is used.

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Using an absolute value inequality, it is found that the range of temperatures is between 70ºF and 74ºF.

---------------

[tex]|x| = x, x \geq 0[/tex]

[tex]|x| = -x, x < 0[/tex]

---------------

[tex]|x - 72| \leq 2[/tex]

Solving the inequality:

[tex]x - 72 \geq >= -2[/tex]

[tex]x \geq 70[/tex]

And

[tex]x - 72 \leq 2[/tex]

[tex]x \leq 74[/tex]

Thus, the range of temperatures is between 70ºF and 74ºF.

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Based on the results of the simulation, the probability that Michaela will walk animals on:

a. both days = 1/6

b. one day only = 2/3

c. at least one day = 5/6

Probability is simply how likely something is to happen.

Grooming = 0, 1, 2

Walking = 3, 4, 5, 6, 7

Cleaning = 8, 9

Based on the data generated in simulation, categorizing it into "Michael will walk animals zero days/ one day only/ both days based on the digit categorization given above.

(2,9) - zero days

(5,2) - one day

(3,9) - one day

(0,1) - zero days

(8,3) -one day

(0,5) - one day

(8,3) - one day

(6,8) - one day

(4,7) - two days

(7,4) - two days

(1,5) - one day

Probability that Michaela will walk animals both days = [tex]\frac{2}{12} = \frac{1}{6}[/tex]

Probability that Michaela will walk animals one day only = [tex]\frac{8}{12} = \frac{2}{3}[/tex]

Probability that Michaela will walk animals at least one day = Probability that Michaela will walk animals one day only + Probability that Michaela will walk animals two days only  = [tex]\frac{8}{12}+ \frac{2}{12} = \frac{10}{12} = \frac{5}{6}[/tex]

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The volume of a given rectangular prism is 100 cubic meter.

A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same. Volume of a rectangular prism = Area of a base × Height.

We know that, a rectangular prism has a length of 10 m, a height of 2 m, and a width of 5 m.

Here, volume = 10×5×2

= 100 cubic meter

Therefore, the volume of a given rectangular prism is 100 cubic meter.

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option

(c) is correct

Step-by-step explanation:

jsjsjd

Answer:

1/12

Step-by-step explanation:

multiple of 3 and a multiple of 4 implies it can only be 12.

Since you only have the numbers from 1 to 12,

the prob(the 12) = 1/12

Answer:

p = 1/2

Step-by-step explanation:

(4p - 1)^2 = 4p^2

(4p - 1)^2 =(2p)^2

4p - 1 =[tex]\sqrt{(2p)^2}[/tex]

4p - 1 =2p

4p - 2p =1

2p = 1

p =1/2

Complete question is;

The shortest side of an isosceles triangle is 2x - 3 inches long. the longer sides are 6 inches longer than the shortest side. the perimeter of the triangle is 33 inches. what is the length of each side of the longer sides of the triangle.

Answer:

Shortest side = 7 inches

Side 2 = 13 inches

Side 3 = 13 inches

Step-by-step explanation:

We are told that;

Triangle is isosceles

The shortest side is 2x - 3 inches

The other 2 sides which are equal because it's an isosceles triangle are both 6 inches longer than the shortest side. Thus;

Side 2 = side 3 = 2x - 3 + 6 = 2x + 3

Since perimeter = 33 and sum of all 3 sides is the perimeter. Thus;

(2x - 3) + 2x + 3 + 2x + 3 = 33

6x + 3 = 33

6x = 33 - 3

6x = 30

x = 30/6

x = 5

Thus;

Shortest side = 2(5) - 3 = 7

Other 2 sides are each; 2(5) + 3 = 13

Answer:

1.6

Step-by-step explanation:

all u gotta do is divide 6.4 by 4:)

hope that helps!<3

Answer:

Option (1)

Step-by-step explanation:

Given figure in the picture has two parallel sides and fulfilling the property of a trapezium.

Since, an isosceles trapezium contains two parallel sides and other pair of the sides are equal in length.

Therefore, the given trapezium can't be an isosceles trapezium.

Option (1) will be the correct option.

Answer:

Step-by-step explanation:

Using this same method of solving, solve the rest. I will help you with 2 more.

5. [tex]10^6[/tex] = 1,000,000

8. [tex]10^0[/tex] = 1

Answer: 32x-48 should be your answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

-4(-8x + 12)

= -4 × (-8x) + (-4) × 12

= 32x + (-48)

= 32x - 48 (Ans)

Answer:

20 minutes

Step-by-step explanation:

If you add 20 minutes to 7:55 P.M., it becomes 8:15 P.M.

Answer:

20 minutos

Step-by-step explanation:

De 7:55 pm hasta las 8: pasaron 5 minutos, luego de 8:00 a 8:15 pm pasaron 15 minutos.

Así que sería 5 + 15 = 20 minutos

Answer:

1m=1000 mm.

1m^2=(1000)*(1000)=10^6 mm^2

So just multiply the given result in m^2 by 10^6 to get the result in mm^2.

So ,16 m^2 =16*(10^6)mm^2.

Hope you got it.

Answer:

2300 apples

Step-by-step explanation:

2500 - 200 = 2300

Answer:

2300

Step-by-step explanation:

2500 - 200 = 2300

Note: "have left" means the answer after subtraction.

Answer:

73

Step-by-step explanation:

(9x - 62)

(9(15) - 62) =

(135 - 62) =

(73)

m∠KJL = 73

Answer: -2

Explanation:  On the image we can see it goes down 4 units and right 2. Giving us the slope [tex]\frac{-4}{2}[/tex]

Simplified that is -2 which is the slope of the line

Answer:

x=-6 and x=1

Step-by-step explanation:

Given that:

[tex]3x^2+15x-18[/tex]

Now,

[tex]3x^2+15x-18=0\\[/tex]

Using the quadratic formula where a=3, b=15, and C=-18

x=-b±[tex]\sqrt{b^2-4ac} /2a[/tex]

x=-15±[tex]{\sqrt{15^2-4(3)(-18} } /2(3)[/tex]

x=-15±[tex]\sqrt{441} /6[/tex]

the discriminant [tex]b^2-4ac>0[/tex]

So, there are two real roots

x=-15±21/6

[tex]x=\frac{6}{6} \\x=1\\x=\frac{-36}{6} \\x=-6[/tex]

Therefore, x=-6 and x=1

Answer:

5=26

14=17

n=1

31n=31*1=31

Answer: 172.3ft

Step-by-step explanation:

Answer:

[tex] {i}^{1} = i \\ {i}^{2} - 1 \\ {i}^{3} = - i \\ {i}^{4} = 1[/tex]

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Answer:

1400 ml is 66.67% of 2.1 L

To express one number as a percentage of another, form a fraction using these two numbers and multiply it by 100. Note that the number that is being expressed as a percentage is placed in the numerator of the fraction.

Answer:

7x² - 8x + 4

Step-by-step explanation:

f(x) - g(x)

= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis by - 1

= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms

= 7x² - 8x + 4

Answer:

<ABE = 109

Step-by-step explanation:

Angle Formed by Two Chords= 1/2(sum of Intercepted Arcs)

< ABE = 1/2 ( 38+180)

< ABE = 1/2 (218)

<ABE = 109

Answer:

Formula: Half the sum of the two arcs. So, this would be the equation:

[tex]\frac{1}{2}[/tex][tex](38[/tex]+[tex]180[/tex])

Solve:

218 / 2 = 109

Answer: 109

Answer:

?=5

Step-by-step explanation:

So let's do 16-6 (3*2)

10/2=5

Answer: ?=5

Step-by-step explanation:

In a rectangle the opposite sides are congruent (same length).

So we have ?+?+3+3=16

Let's use a variable for ?

x+x+3+3=16

Since there are 2 of the variable x we can write it as 2x since 2 of something means it's doubled. We can also combine 3 and 3.

2x+6=16

Let's subtract 6 from both sides.

[tex]2x+6-6=16-6\\2x=10[/tex]

Now let's divide both sides by 2 to find the value of x (which is ?)

[tex]\frac{2x}{2} =\frac{10}{2} \\x=5[/tex]

The value of x/? is 5.

Answer:

1. 2 real solutions

2. no real solutions

3. 2 real solutions

4. 1 real solution

Step-by-step explanation:

The 'solution' to a quadratic equation means the x - intercepts of a graph, so how many times the parabola crosses the x-axis.