Question 13
Find the area of the (gray) shaded region. (2 tangent circles inscribed in a rectangle):
20

Answer:

20

Step-by-step explanation:

5*4=20

5*5=25, but it is bigger than 24.

So the ans is 20

5. The width of the house. = 30 feet

6. The height of the house. = 22.5 feet

7. The height of the first floor. = 12.5 feet

8. The height of the roof. = 10 feet

9. The width of the door. = 5 feet

10. The height of the door. = 7.5 feet

The actual length of each segment is calculated by counting the units in the scale drawing and multiplying by the scale factor

In the problem, the scale factor is  two and a half feet = 2.5 feet

5. The width of the house

number of units from the drawing = 12 units

actual length = number of units from the drawing * scale factor

actual length = 12 * 2.5 = 30 feet

6. The height of the house

number of units from the drawing = 9 units

actual length = 9 * 2.5 = 22.5 feet

7. The height of the first floor

number of units from the drawing = 5 units

actual length = 5 * 2.5 = 12.5 feet

8. The height of the roof

number of units from the drawing = 4 units

actual length = 4 * 2.5 = 10 feet

9. The width of the door.

number of units from the drawing = 2 units

actual length = 2 * 2.5 = 5 feet

10. The height of the door.

number of units from the drawing = 3 units

actual length = 3 * 2.5 = 7.5 feet

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Answer:

D. infinitely many

Step-by-step explanation:

5+2 = 7 so 4y + 7 = 5 + 2 + 4y just equals 4y + 7=4y + 7 and any value of y is true in that equation.

Answer:

D :)

Step-by-step explanation:

Add 55 and 22.

4y+7=7+4y4y+7=7+4y

Move all terms containing yy to the left side of the equation.

Subtract 4y4y from both sides of the equation.

4y+7−4y=74y+7-4y=7

Combine the opposite terms in

Subtract 4y4y from 4y4y.

0+7=70+7=7

Add 00 and 77.

7=77=7

Since 7=77=7, the equation will always be true for any value of yy.

All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

(−∞,∞)

Answer: 220

Step-by-step explanation: See photo. The measure of an inscribed angle is equal to half the measure of the included arc.

110 = 1/2 x

220 = x

Using the provided expression and the law of indices, The power get subtracted in division, The answer is [tex]6^{22}[/tex] .

A mathematical expression is a combination of numbers, variables, and mathematical operations that defines a specific value or a set of values. Examples of mathematical expressions include 2+3, x^2+y^2, and sin(x) + cos(y). These expressions can be evaluated to find a specific numerical value or they can be simplified, rearranged or manipulated using algebraic rules.

The laws of indices, also known as the laws of exponents, are a set of rules that govern how exponents (or indices) are used in mathematical operations. These laws include:

These laws allow us to simplify expressions with exponents and make it easier to perform calculations involving them.

[tex]= \frac {6^{15}}{6^{-7}}\\= 6^{15-(-7)}\\= 6^{15+7}\\=6^{22}[/tex]

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Answer:

A polygon is a two-dimensional closed figure that has three or more straight sides. Any figure with straight edges, such as a triangle or rectangle, is a polygon. Figures that have any curved sides or open sides are not classed as polygons

Step-by-step explanation:

A regular polygon is a polygon where all of the side lengths are equal and all of the angle measures are equal. ... However, the sides are not congruent. Therefore, it is an irregular pentagon. Irregular polygons have side lengths that are not congruent.

there's no pic that helps determine which is which but I hope this explanations helps you.

Answer:

6%

Step-by-step explanation:

$18/9=$2 interest per month

$2 x 12 = $24 annual interest.

24/400=6%

The maximum number of students who studied all subjects is 6.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Total students = 40

Number of students who studied maths = 32

Number of students who studied geography = 28

Number of students who studied social science = 26

The maximum number of students who studied all subjects.

= Highest number of students who studied one subject - Least number of students who studied a subject

= 32 - 26

= 6

Thus,

6 is the maximum number of students who studied all subjects.

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The solution to the differential equation y'' + y = sin2x is y = -2sin2x + (Acos2x + Bsin2x).

This differential equation can be solved by the method of variation of parameters. This method involves finding two arbitrary functions, U and V, such that U' = V and V' = -U + sin2x, so that the general solution of the differential equation is y = U + V. Solving the two equations yields U = Acos2x + Bsin2x and V = -2sin2x, where A and B are arbitrary constants. Substituting U and V into the general solution of the differential equation yields the final solution y = -2sin2x + (Acos2x + Bsin2x).

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Answer:

[tex]7\sqrt{3}[/tex]

Step-by-step explanation:

Since this is a 30-60-90 triangle, we know that the sides have the following characteristic:

The side opposite to 30 degree angle: n

The side opposite to 60 degree angle: [tex]n\sqrt{3}[/tex]

The side opposite to 90 degree angle: 2n

Since we know that 7 is opposite to 30-degree, and x is opposite to 60 degree, than we know that x = [tex]7\sqrt{3}[/tex]

The area of the front of the book after it has been enlarged would be = 121.5 in². That is option C.

A rectangle is defined as the type of quadrilateral which has two opposite sides that are equal and parallel and with four angles that are equal to 90°.

The length of the rectangular book= 6 inches

The width of the rectangular book = 9 inches

Using the scale factor of 1.5 the new length and width is thus:

length = 6 × 1.5 = 9 inches

9× 1.5 = 13.5

Therefore area of the book = l×W = 9 × 13.5 = 121.5 in².

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The diameter of the circle C/13

The formula provides the circumference of a circle.

The circumference of any shape in mathematics designates the path or limit that surrounds the shape. In other words, the circumference, sometimes referred to as the perimeter, aids in figuring out how long the contour of a shape is. The size and perimeter of a circle are, as we all know, its two most important properties.

C = pi * d, where d is the diameter and c is the circumference.

C = pi * 13 gives the diameter as 13.

Subtract 13 from each side, C/13 = d.

Dimensions are C/13.

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Answer:

$48.96

Step-by-step explanation:

Given data

Length= 10inches

Width=14 inches

Let us find the perimeter of the  certificate

P=2L+2W

P= 2*10+2*14

P=20+28

P= 48 inches

Hence if 1 inche cost $1.02

Then 48 inches will cost x

cross multiply we

x= 48*1.02

x= $48.96

Hence it will cost $48.96 to frame the certificate

Answer:  3174.4

Step-by-step explanation:

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.

Answer:

center: P

Radius: 12cm

# of radii: 5

Diameter: 24cm

# of diameters: 2

Circumference: 75.36cm

Step-by-step explanation:

the center is labeled with the point p

radius is the distance from the center to the circumference of a circle

diameter is the distance from one point on a circle through the center to another point on the circle. (and twice the radius)

circumference is 2(pi)r

pi can be rounded to 3.14

The required value of x is 17 for the given equation 11 = x - 6.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question, as follows:

11 = x - 6

We can determine the value of x by adding 6 to both sides of the equation.

As per the question, we have

⇒ 11 = x - 6

⇒ 11 + 6 = x - 6 + 6

⇒ x = 11 + 6

Apply the addition operation, and we get

⇒ x = 17

Therefore, the required value of x is 17.

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The number of gloves selected for each cases is 11 and 19 gloves respectively.

How is selection done?

In mathematics, most of the times selection is done using permutation and combination.

Putting things or numbers in order is known as a permutation.

Combinations are a means to choose items or numbers from a collection of items or groups of items without regard to their order.

Given,

       Total black gloves = 5 left hand+ 5 right hand

       Total brown gloves = 3 left hand + 3 right hand

        Total gray gloves = 2 left hand + 2 right hand

Now to find the least number of gloves for the given conditions, we start with the worst condition.

a) To get at least one matching pair, we first consider no matching pair, which is (5 +3+2) gloves of only left only or right only hand of each colour.

Now to make one pair, we need to select only one glove of the opposite hand of any colour.

Therefore to get atleast one matching pair, smallest number of gloves to be selected = 5 + 3 + 2 + 1 = 11 gloves

b) In this case also we start with worst case.

   For no matching pair of each colour we have to take 10 black gloves, 6 brown gloves and  2 gray gloves of any one hand.

Therefore to get matching pair of each colour, we have to take one more gray glove.

Therefore to get atleast one matching pair of each colour, smallest number of gloves to be selected = 10 + 6 + 2 + 1 = 19 gloves.

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Answer:

A. 24 ÷ [6 − 2] × 5 + 6

Step-by-step explanation:

Sarah's teacher wrote this expression on the whiteboard. 24 ÷ 6 − 2 × 5 + 6 Where could she place brackets in the expression for it to be equal to 36? A. 24 ÷ [6 − 2] × 5 + 6 B. 24 ÷ 6 − [2 × 5 + 6] C. [24 ÷ 6] − 2 × 5 + 6 D. 24 ÷ 6 − 2 × [5 + 6]

Rule of operations

BODMAS

B = Bracket

O = 0f

D = Division

M = Multiplication

A = Addition

S = Subtraction.

Check all options

A. 24 ÷ [6 − 2] × 5 + 6

= 24 ÷ (4) × 5 + 6

= 6 × 5 + 6

= 30 + 6

= 36

B. 24 ÷ 6 − [2 × 5 + 6]

= 4 - (10 + 6)

= 4 - 10 + 6

= 0

C. [24 ÷ 6] − 2 × 5 + 6

= 4 - 10 + 6

= 0

D. 24 ÷ 6 − 2 × [5 + 6]

= 4 - 2(11)

= 4 - 22

= -18

Option A is the correct answer

Answer:

Step-by-step explanation:

okkkkkkk

Answer:

6 kilometers

Step-by-step explanation:

2x3=6

please brainiest

Answer:

It explicitly states that 1cm represents a distance of 3km.

If the two places are 2cm apart...

it simply means that they're 6km apart!.

Answer: 7.785,7.476,7.293,8.37.7.9

Step-by-step explanation:

Answer:

Solution given:

Step-by-step explanation:

[note: sin²x+cos²x=1]

Answer:

(sinx+coax+sinx-cosx) ( sinx+cosx-sinx+cosx)

4sinxcosx

2sin2x

Answer:

D

Step-by-step explanation:

Stocks represent ownership in companies. Anyone can purchase publicly traded stock shares.

You had a better score relative to the rest of your class.

To compare the scores of you and your friend relative to the rest of their classes, we need to calculate the standard deviation of your score and your friend's score from the average of their respective classes.

A standard deviation of 2 means that 68% of the scores in the class fall within 1 standard deviation of the mean, or between 84 and 88 in the case of Mrs. Wilson's class. Since 88 is greater than 86 (the mean) and less than 2 standard deviations away (88-86 < 2*2=4) , so your score of 88 is better than the average score in your class.

On the other hand, 85 is less than 82 (the mean) and more than 1 standard deviation away (85-82 > 2) so your friend's score of 85 is less than the average score in their class.

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Answer:

if it says bit .ly etc don't click it

Answer:

2.5 gallons

Step-by-step explanation:

5-1.25=3.75

3.75/3=1.25

1.25*2=2.50

Answer:

2.5, or 2 1/2 gallons

Step-by-step explanation:

Answer:

Refer to the image attached. If you have ANY questions about what I did/how I did it, please ask in the comments. I will be happy to help you understand! :)

Step-by-step explanation: