HELP PLEASE. When finding the surface area of a composite figure, why is it often necessary to subtract sides common to each individual shape? Complete the explanation.


Identifiable shapes that are easy to find the (volume/surface area) of in composite figures will often have portions that overlap with each other. After finding the surface area of each individual shape, simply adding these surfaces areas together will result in a number (greater/less) than the real surface area. This means that after adding the surface areas of the individual shapes, it is necessary to (add/subtract) sides common to both shapes to get the true surface area.

your answer is 15 centimeters

48 and 81 basically you just have to multiply

Answer:

144 cubic inches

Step-by-step explanation:

We are given a diagram of a pyramid with length = 8 inches, height = 9 inches and width = 6 inches.

We are to find the volume of this pyramid.

We know that the formula of volume of a pyramid is given by:

[tex] \frac { l \times w \times h } { 3 } [/tex]

Substituting the given values in the above formula to get:

Volume of pyramid = [tex] \frac { 8 \times 6 \times 9 } { 3 } [/tex] [tex]=\frac{432}{3}[/tex] = 144 cubic inches

A decameter is the longest, as it has a length equal to 10 meters.

Hope this helps!

Answer:

Decameter

Step-by-step explanation:

A decameter = 10 meter

millimeter = 0.001 meter

meter = meter

centimeter = 0.01 meter

Best regars

Answer:

3X(5+7)

Step-by-step explanation:

Because correctly is of this way:

3X(5+7)

and not so:

(3X5) + 7

Best regards

➷ You have written it the incorrect way.

Following the rules of PEMDAS, the multiplication would be carried out before the addition. This is not what is wanted

The question would want 3 times the SUM of 5 and 7.

To make sure you get the correct answer, you would have to write the expression slightly different

The correct way would be:

3(5 + 7)

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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7 is the answer

Area =length *breadth

Area =length *length

Area=49=x *x

[tex]49 = {x}^{2} \\ \sqrt{49} = x \\ x = 7[/tex]

since triangles are similar

4/x = 7x/7

=》 4/x = x

=》x^2 = 4

=》 x = 2

for right triangles a^2 = b^2+c^2

DF^2 = 7^2+2^2 = 53

=》 DF = 7.28

perimeter of DEF = 7 +2+7.28 = 16.28

Answer:

(x - 15)(x + 3)

Step-by-step explanation:

Factors of 45 include 5 and 9, 3 and 15, 1 and 45, and so on.

Note that 3*15 =+45; this is not what we wanted.  Thus, try (-3)*15 = -45.

Do -3 and 15 combine to yield -12?  No.  Thus drop (-3)(15) and try (3)(-15).

Do 3 and -15 combine to yield -12?  YES

Therefore, the factored form of x² - 12x - 45 is (x - 15)(x + 3).

Answer:

$5.40

Step-by-step explanation:

To find the increase we need to consider our variables.

Current Rate = $4.50

Increase Percentage = 20% or 0.20

Now we can find the new rate by multiplying the Current Rate to the Increase Percentage and add it to the Current Rate again.

Total Price w/ Increase = ($4.50 x 0.20) + $4.50

Total Price w/ Increase = $0.90 + $4.50

Total Price w/ Increase = $5.40

Answer:

Dividend- The number that is divided is called the dividend

Divisor- a number that divides a integer ( It is the number that is divided by the Dividend)

Quotient- is the result when dividing.

Remainder-  is the amount that is left over after dividing

Step-by-step explanation:

Example

36 ÷ 6 = 6

36 is the Dividend

6 is the Divisor

6 is the Quotient

No remainder

Hopes this helps!

Answer:

y = -118 and x = 7

Step-by-step explanation:

I've attached a picture with my work.

Detailed steps on solving equations with variables y and x, including simplification and solving for the unknowns.

Solving the equation 64−(3y+8y+y)÷40=37:

Solving the equation 8,000÷(28x+4)−15 = 25:

The number that is in the millions place is 3

The value of each digit in a number is known as the place value. The correct option is C, 3.

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

The million in a digit is represented by the sixth digit from the right in a number. Therefore, In the number 3,657,892, the digit that is in the millions of places is 3.

Learn more about the Place Value:

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Answer:

D) 13

Step-by-step explanation:

3(-4)=-12+1=-11

2(-1)=-2+4=-2

11+2=13

Answer:

Step-by-step explanation:

The sqrt of 1/64 is 1/8, or 0.125.

1/4 is equivalent to 0.25.

0.2 repeating is 0.222222222222 ...

Least:  0.125

Middle:  0.25

Greatest:  0.222222222222 ...

The numbers from least to greatest are: square root of 1/64 (0.125), 0.2 repeating (0.222...), and 1/4 (0.25).

This problem requires an understanding of fractions and square roots to order the numbers correctly. Firstly, you have to calculate the square root of 1/64. The square root of 1/64 is 1/8 or 0.125. Then, let's consider the other numbers: 1/4 which is equal to 0.25, and 0.2 repeating which is actually equivalent to 0.222 continuing. Now we can order them from least to greatest: 1/8 (0.125), 0.2 repeating (0.222...), and 1/4 (0.25).

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Answer:

y=3(x-1)^2-12

Step-by-step explanation:

Answer:

X=2

Step-by-step explanation:

Answer:

center:(4,-2)

Radius: 3 units

Step-by-step explanation:

The standard equation of a circle is given as [tex](x-h)^2+(y-k)^2=r^2[/tex], where (h,k) is the center and r is the radius of the circle.

The given equation is [tex](x-4)^2+(y+2)^2=9[/tex].

We compare to the standard equation of the circle to get;

[tex]x-h=x-4[/tex]

[tex]\Rightarrow -h=-4[/tex]

[tex]\Rightarrow h=4[/tex]

and

[tex]y-k=y+2[/tex]

[tex]\Rightarrow -k=2[/tex]

[tex]\Rightarrow k=-2[/tex]

Hence the center of the circle is (4,-2).

Also, we have [tex]r^2=9[/tex]

Therefore [tex]r=\sqrt{9}[/tex]

[tex]r=3[/tex] units.

Answer:

Center at (4,-2); radius: 3

Step-by-step explanation:

To evaluate the expression, we follow the order of operations (PEMDAS). The result of the expression is 31.

To evaluate the expression 24 ÷ 3 + 7 ⋅ 2 – 15 ÷ 5 + 6 ⋅ 2, we need to follow the order of operations, also known as PEMDAS. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Therefore, the evaluated expression is equal to 31.

Answer:

Answer: I think 1 or 2

Answer:

4: 3 and 2

5: 1 and 4

52 divided by 4 then you’ll get 13

Answer:

46x^2 + 73x + 15

Step-by-step explanation:

Expand both equations

Wall = (6x + 7)(8x + 5) = 48x^2 + 56x + 30x + 35 = 48x^2 + 86x + 35

Mural = (x + 4)(2x + 5) = 2x^2 + 5x + 8x + 20 = 2x^2 + 13x + 20

Minus them.

Wall - Mural =

(48x^2 + 86x + 35) - (2x^2 + 13x + 20)

(48x^2 - 2x^2) + (86x - 13x) + (35 - 20)

46x^2 + 73x + 15

Answer:

46x^2 + 73x + 15

Step-by-step explanation:

Expand both equations

Wall = (6x + 7)(8x + 5) = 48x^2 + 56x + 30x + 35 = 48x^2 + 86x + 35

Mural = (x + 4)(2x + 5) = 2x^2 + 5x + 8x + 20 = 2x^2 + 13x + 20

Minus them.

Wall - Mural =

(48x^2 + 86x + 35) - (2x^2 + 13x + 20)

(48x^2 - 2x^2) + (86x - 13x) + (35 - 20)

46x^2 + 73x + 15

Answer:

Step-by-step explanation:

$300-$125=$175

Answer:

59062.50

Step-by-step explanation:

Is means equals

9450 = 16% of a number

9450 = .16 N

divide by .16

9450/.16 = .16N/.16

59062.50 = N

The number is 59062.50

We want 100% of the number which is all of it

59062.50

Answer:

64 inches

Step-by-step explanation:

12 x 3ft (1yard)=36in

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

[tex]sin(A + B) = sin A cos B + cos A sin B[/tex]

In this problem we have

[tex]sin(x + \pi)=sin (x)cos(\pi) + cos(x)sin(\pi)[/tex]

Remember that

[tex]sin(\pi) = 0[/tex]

[tex]cos(\pi) = -1[/tex]

substitute

[tex]sin(x + \pi) = sin(x)(-1) + cos(x)(0)[/tex]

[tex]sin(x + \pi) = -sin(x)[/tex]

Final answer:

To prove that sin (x + π) = -sin x, the trigonometric identity for the sine of a sum is used, and by considering the specific values for cos π and sin π, the identity simplifies to the required expression.

Explanation:

To show that sin (x + π) = -sin x, we can use the trigonometric identity for the sine of a sum:

sin (α + β) = sin α cos β + cos α sin β

Applying this identity to sin (x + π):

sin (x + π) = sin x cos π + cos x sin π

Since cos π = -1 and sin π = 0, we substitute these values:

sin (x + π) = sin x (−1) + cos x (0)

sin (x + π) = −sin x + 0

Hence, sin (x + π) = −sin x, demonstrating the original statement.

Answer:

[tex]4,151.25\ m^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the trapezoidal prism (swimming pool) is equal to

[tex]V=BL[/tex]

where

B is the area of the trapezoidal base

L is the length (distance between the two trapezoidal faces)

Find the area B

[tex]B=\frac{1}{2}(4+8)(30.75)=184.5\ m^{2}[/tex]

[tex]L=22.5\ m[/tex]

Find the volume

[tex]V=184.5(22.5)=4,151.25\ m^{3}[/tex]

Answer:

Step-by-step explanation:

The standard form of an equation of a line:

[tex]Ax+By=C[/tex]

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point

We have the points (-7, 2) and (-8, -9). Substitute:

[tex]m=\dfrac{-9-2}{-8-(-7)}=\dfrac{-11}{-1}=11[/tex]

[tex]y-2=11(x-(-7))\\\\y-2=11(x+7)[/tex]

Convert to the standard form:

[tex]y-2=11(x+7)[/tex]           use the distributive property a(b + c) = ab + ac

[tex]y-2=11x+77[/tex]            add 2 to both sides

[tex]y=11x+79[/tex]           subtract 11x from both sides

[tex]-11x+y=79[/tex]        change the signs

[tex]11x-y=-79[/tex]

Answer:

The concep of rectilinean line between point A and point B.

Search about euclidean laws.

Besr regards

The line between is point A and point B.