3. What is the breadth of a rectangle
whose length and area are 8cm
and 40cm- respectively?​

Answer:

21.5

Step-by-step explanation:

The area of the shaded region is 21.5 mm².

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given is a circle inside a square.

Area of a square = a², where 'a' is the side length.

Here, a = 10 mm

Area of square = 10² = 100 mm²

Area of a circle = π r², where r is the radius of the circle.

Diameter of circle = 10 mm

Radius of the circle = 10/2 = 5 mm

Area of the circle = (3.14) (5²) = 78.5 mm²

Area of the shaded region = Area of square - Area of circle

                                             = 100 mm² - 78.5 mm²

                                             = 21.5 mm²

Hence the area is 21.5 mm².

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Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

PROCEDURE :-

Measure of perpendicular of triangle = 6 units

Measure base of triangle = 8 units

Measure of Hypotenuse = [tex]\sqrt{(6)^2 + (8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10 \: units[/tex]

Side opposite to ∠A = Perpendicular of triangle =  6 units

∴ sin A = [tex]\frac{6}{10} = \frac{3}{5}[/tex]

Answer:

3.4

Step-by-step explanation:

PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

(3+1)=4

4+27=31

31 ÷9=3.4

(hope this helped)

The result of expression(3 + 1) + 27 ÷ 9 = 7 .

Order of operations is a set of rules to perform operations in an arithmetic expression.

PEMDAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.

Given expression

(3 + 1) + 27 ÷ 9

Using order of operations,

Solving Parentheses

= 4 + 27 ÷ 9

Solving Division operation

= 4 + 3

Solving Addition operation

= 7

Hence, 7 is the result of the expression (3 + 1) + 27 ÷ 9 .

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Answer:

3x-5=3

Step-by-step explanation:

Answer:

2.6 repeating Or 8/3(same thing in fraction form)

Step-by-step explanation:

So, lets iscolate the different parts of this euqation:

Five less than 3 times a number is 3

Or:

5 less than 3 * x = 3

This is a bit tricky here, but it should be:

(3*x)-5=3

Since order of operations, multipcation comes first.

And remember this is 5 less than the 3*x, so its subtracting 5 from 3*x.

This is all equal to 3.

Now lets solve:

(3*x)-5=3

Solve whats in the parthese first:

3x-5=3

Then get 3x alone:

3x=8

Then get x alone:

x=8/3

Or

2.66 repeating

This is your answer(8/3 or 2.6)

Hope this helps!

Answer:

Solution given:

5(9x-8)=4(x+2)

45x-40=4x+8

45x-4x=40+8

41x=48

x=[tex] \frac{48}{41} [/tex]

Gabriella is not correct:

she has done in distribution

5(9x-8)=4(x+2)

45x-40=4x+8 not 45x-8=4x+2.

No, Gabriela is not solving correctly because her second step is wrong.

In a fraction the upper part is known as numerator and the lower part is known as denominator.

The problem is as under

(9x-8)/4=(x+2)/5

The above problem is solved as

5(9x-8)=4(x+2)

45x-40=4x+2

41x=42

x=42/41

Hence the value of x is 42/41 therefore the solution of Gabriella is wrong.

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Answer:

Sally is correct in claiming that [tex]\angle A[/tex] and [tex]\angle B[/tex] are supplementary.

Step-by-step explanation:

Supplementary angles are angles that add up to [tex]180^{\circ}[/tex]. Whether they are adjacent or not is irrelevant to whether they are supplementary. Since [tex]70+110=180[/tex], angles [tex]\angle A[/tex] and [tex]\angle B[/tex] are supplementary.

Value of [tex]x[/tex] as per considering given pair as vertical  opposite angles is equals to [tex]12[/tex] degrees.

" Vertical opposite angles are defined as when two straight line intersect each other , the two non adjacent angles are vertical opposite angles. Measure of vertical opposite angles are always equal."

According to the question,

Given measure of angles,

[tex]m \angle1 = (3x + 21)\°[/tex]

[tex]m \angle3= (4x + 9)\°[/tex]

Consider both the angles as vertically opposite angles we get,

[tex]m \angle1 =m \angle3 \\\implies(3x + 21)\° = (4x + 9)\°\\\\\implies 4x -3x = (21 - 9))\°\\\\\implies x = 12\°[/tex]

Hence, value of [tex]x[/tex] as per considering given pair as vertical  opposite angles is equals to [tex]12[/tex] degrees.

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9514 1404 393

Answer:

  0

Step-by-step explanation:

If a=b, you are asking for a whole number c such that ...

  c = √(a² +a²) = a√2

If 'a' is a whole number, the only whole numbers that satisfy this equation are ...

  c = 0 and a = 0.

  0 = 0×√2

The lowest whole number c such that c = √(a²+b²) and a=b=whole number is zero.

__

√2 is irrational, so there cannot be two non-zero whole numbers such that c/a=√2.

_____

Additional comment

If you allow 'a' to be irrational, then you can choose any value of 'c' that you like. Whole numbers begin at 0, so 0 is the lowest possible value of 'c'. If you don't like that one, you can choose c=1, which makes a=(√2)/2 ≈ 0.707, an irrational number. The problem statement here puts no restrictions on the values of 'a' and 'b'.

Answer:

its (8+4)/(-2-2) so the slope is -3x

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

since they are both outside or just exterior, and they are the opposite, so alternate exterior angles

Answer:

3x+2y+2=0

3x=-2y-2

x=-(2y+2)/3

Step-by-step explanation:

Answer:

The answer is 6 hours

Step-by-step explanation:

26x6=156

Answer:

wheres the circle graph

Step-by-step explanation:

Answer:

y = -3/4x - 3

Step-by-step explanation:

first lets find the slope what is rise over run

to get from (0, -3) to (-4,0) u have to rise 3 and go back 4

the slope would be -3/4

the last part is were it hits the y axis - ( -3) so it be -3

Answer:

16

Step-by-step explanation:

Answer:

sec t = 1/(cos t) = 1/(-3/4) = -4/3

Answer:

an=a1+d(n−1) a n = a 1 + d ( n - 1 )

Step-by-step explanation:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding −5 to the previous term in the sequence gives the next term. In other words, an=a1+d(n−1) a n = a 1 + d ( n - 1 ) .

Answer:

Yes (SSS) Triangle SUT is congruent to triangle XWV

Step-by-step explanation:

15/10 = 1.5

9/6 = 1.5

12/8 = 1.5

In ΔSUT and ΔXWV the given sides are in proportion. Therefore, option A is the correct answer.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

The given two triangles are ΔSUT and ΔXWV.

From the triangle SUT, SU=10, UT=8 and ST=6

From the triangle XWV, VW=12, XW=15 and VX=9

Now, SU/XW = UT/VW = ST/VX

10/15 = 8/12 = 6/9

2/3 = 2/3 = 2/3

The given sides are in proportion.

So, by SSS similarity ΔSUT∼ΔXWV

Therefore, option A is the correct answer.

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Answer:

The answer is the choose: (D)

[tex] {3}^{ - 5} = \frac{1}{ {3}^{5} } [/tex]

Answer:

The answer is (x + 3) (x - 7) = 0

Step-by-step explanation:

x² - 4x = 21

x² - 4x - 21 = 0

x² - 7x + 3x - 21 = 0

x(x - 7) + 3(x - 7) = 0

(x + 3) (x - 7) = 0

Thus, The answer is (x + 3) (x - 7) = 0

-TheUnknownScientist

Answer:

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hope it helps..

have a great day!!

Answer:

i got u i have your email

Step-by-step explanation:

Answer: The most typical symmetric histogram or dot plot has the highest vertical column in the center. This shape is often referred to as being a "normal curve" (or normal distribution). ... Skewed Right (positively skewed) - fewer data plots are found to the right of the graph (toward the larger numeric values).

Answer:

the correct answer is A

Step-by-step explanation:

1.443-1.434

= 0.009

Answer:

C. 5°F

Step-by-step explanation:

- 5°F + 5°F

0°F

Answer:

a) 0.3140

b) 0.3098

c) 0.3447

Step-by-step explanation:

Given data :

p = 4% = 0.04

Assuming selections are independent for next 150 pieces

n = 150

a) Probability that 7,8,9 will be selected

P( 7,8,9 ) = 0.3140

b) probability that 7,8,9 will be selected using Poison approximation

P( 7,8,9 ) = 0.3098

c) using normal approximation to determine the probability from ( a )

P ( 7,8,9 ) = 0.3447

Attached below is the detailed solution