Find the surface area
8in
3in
6in

Answer:

Step-by-step explanation:

This is a trapezium.

The formula od an area of a trapezium:

A = 1/2(a + b) · h

We have:

a = 10, b = 6, h = 8

substitute:

A = 1/2 · (10 + 6) · 8 = 1/2 · 16 · 8 = 8 · 8 = 64

Answer:

A = 64 sq. un

Step-by-step explanation:

6 * 8 + (4 * 8)/2 =

48 + 4 * 4 =

48 + 16 =

64

Answer:

a) four friends bought each ticket for $80 and also

bought a Jersey for $15

b) 4(95)

= 380

c) 8.95 - the answer is in decimal

Step-by-step explanation:

Judge A: 41  (0.20 x 40)+(0.35 x 45)+(0.20 x 30)+(0.25 x 45)

Judge B: 42.75 (0.20 x 45)+(0.35 x 45)+(0.20 x 40)+(0.25 x 40)

Judge C: 38 (0.20 x 35)+(0.35 x 40)+(0.20 x 35)+(0.25 x 40)

Total score: 40.6

The calculated areas of both are the same instead of using the different formulas that are 43. 5 squared unit.

The area of the polygon is the product of half of the apothem of the triangle and perimeter.

The area of the polygon = [tex]\frac{1}{2} \times h \times p[/tex]

The side of the triangle is 10 units.

Apothem of an equilateral triangle

[tex]s = \frac{\sqrt{3} a}{6}[/tex]

s= [tex]\sqrt{3} \times 10/6[/tex]

s = 2.88

Here, a is the side of the triangle.

Thus the apothem of the triangle is 2.9 units.

The perimeter of the equilateral triangle is equal to the three times the sides.

Perimeter of the equilateral triangle ,

P = 3(10)

P = 30

Therefore, the perimeter of the equilateral triangle is 30 units.

The area of the equilateral triangle-

The area of the polygon = [tex]\frac{1}{2} \times h \times p[/tex]

A = [tex]1/2 \times 2.9 \times 30[/tex]

A = 43.5

Thus the area of the equilateral triangle is 43.5 squared units.

Therefore, The calculated areas of both are the same instead of using the different formulas.

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Answer:

(A) 2.9

(C)30

(A)1/2(2.9)(30)

(D)The same despite using different formulas

Step-by-step explanation:

I did it

Answer:

Step-by-step explanation:

Sin(A) = 5/7

Sin(A) = 0.7143

A = sin-1(0.7143

A = 45.58

B = 180 - 45.58 - 90

B =  44.43

C = 90

c = 7

a = 5

b^2 = c^2 - a^2

b^2 = 7^2 - 5^2

b^2 = 49 - 25

b^2 = 24

b = 4.899

Answer:

Step-by-step explanation:

Answer:

Your equation would be:
(x + 6)² + (y - 5)² = 29

Step-by-step explanation:

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Answer:

12ft

Step-by-step explanation:

A prism is a 3D shape which has the same 2D shape repeated along its length (this is sometimes called the cross section).

The 2D shape at the ends of the prism is the base of the prism, so for this shape, the bases are the triangles.

The height of the prism is actually the length of the prism, so for this prism the height is 12 ft.

Answer:

Step-by-step explanation:

When the population drops by 4.5%, there will be (1 - 4.5%) = 0.955 portion of the original population staying.  When it happens 3 years in a row with an original population of 937, there will be:

937*0.955*0.955*0.955 = 816.11

~816 people staying in Bloom Falls.

this should be the answer

the domain is simply the values that "t" or the independent variable can safely take whilst not producing any extraneous values.

well, the context from the table is that it starts at time of 10 days and goes on to the 40th day, so "t" starts off at 10 and ends at 40, well, that is the domain in context, [10 , 40].

The inequalities x≤2 or x<5 are unequal expressions

The common points of both inequalities are {.......0,1,2}

Inequalities are expressions that have unequal values

Number lines are lines that are used to represent numbers and expressions at regular intervals

The inequalities are given as;

x≤2 or x<5

This means that:

x is less than or equal to 2

And

x is less than 5

So, we have:

x≤2 = {.......0,1,2}

x<5 = {.......0,1,2,3,4}

The common points of both inequalities are:

x≤2 or x<5 = {.......0,1,2}

See attachment for the number line

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Answer:

9

Step-by-step explanation:

12 divided by 4 is 3

3 multiplied by 3 is 3

The maximum area of the rectangle that has a perimeter of 12 meters would be equal to 6x - x^2.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Let x be the length of the rectangle and y be the width of the rectangle

The perimeter of a rectangle = 2( l + b)

                                         12   =   2(x + y)

                                         (x +y) = 6

                                             y = 6- x

The area of the rectangle = length × Width

                                          = x × y

                                          = x ( 6- x)

                                          = 6x - x^2

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Answer: X-axis

Step-by-step explanation: The arrow is pointing to the horizontal line on the on the graph. That horizontal line is the x-axis.

Answer:

Your answer would be:
A.) (36 × 6) + (c × 4) = 232

Step-by-step explanation:

Have a great rest of your day
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Answer:

cups =15.99994. according to the holy bible.

Step-by-step explanation:

Answer:

(-5,-1)

Step-by-step explanation:

Answer: D

Step-by-step explanation:

It’s really obvious just circle D

Answer:

[tex]\frac{5}{6}:1[/tex]

Step-by-step explanation:

[tex]10:12[/tex] divide both sides of this ratio by 12 to give a ratio in the form [tex]n:1[/tex]

[tex]\frac{10}{12}:1[/tex] which simplifies to [tex]\frac{5}{6}:1[/tex]

Answer:

{x,y} = {7,-5}

Step-by-step explanation:

Solve equation [2] for the variable  y

  [2]    10y = -7x - 1

[2]    y = -7x/10 - 1/10

Plug this in for variable  y  in equation [1]

  [1]    5x + 9•(-7x/10-1/10) = -10

  [1]    -13x/10 = -91/10

  [1]    -13x = -91

Solve equation [1] for the variable  x

[1]    13x = 91

[1]    x = 7

By now we know this much :

x = 7

y = -7x/10-1/10

Use the  x  value to solve for  y

  y = -(7/10)(7)-1/10 = -5

Answer:

(x , y) = (7 , -5)

Step-by-step explanation:

{x, y} = {7, -5}

System of Linear Equations entered :  

1. 5x + 9y = -10

2. 7x + 10y = -1

(Shown on graph below)

Solve equation 3 for the variable the y    

10y = -7x - 1

y = -7x/10 - 1/10

Plug this in for variable  y  in equation 1    

5x + 9•(-7x/10-1/10) = -10

-13x/10 = -91/10

 -13x = -91

Solve equation 1 for the variable  x   
 13x = 91 

  x = 7 

By now we know this much :  

  x = 7

  y = -7x/10-1/10

Use the  x  value to solve for  y    

 y = -(7/10)(7)-1/10 = -5 

Hence, (x , y) = (7 , -5)

Answer:

see explanation

Step-by-step explanation:

look at the photo

Answer:

180 miles

Step-by-step explanation:

Base rate

5 gallons

Answer:

180

Step-by-step explanation:

288:8=36 means with 1 gallon can drive 36 km

5 gallon used last week so 5*36 =180 km

The trigonometry identity sin(x + y) = sinx cosy + cosx siny.

sin(x + y) is one of the identities in trigonometry for compound angles.

The angle (x + y) represents the compound angles.

sin(x + y) = sinx cosy + cosx siny

To prove

sin(x + y) = sinx cosy + cosx siny

Consider OX as a rotating line anti-clockwise. Let angle XOY = a

the making of an acute angle b the rotation in the same direction is

angleYOZ = b , angle XOZ = a + b

From triangle PTR,

∠TPR = 90 - ∠PRT , ∠ROX = a

From the right-angled triangle PQO

sin(a + b) = PQ/OP

= (PT + TQ) / OP

= PT/OP + TQ/OP

= PT/PR × PR/OP + RS/OR × OR/OP

= cos (∠TPR ) sinb + sina cosb

= sina cosb + cosa sinb

if we replace a=x and b=y

Therefore, sin(x + y) = sinx cosy + cosx siny.

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Answer:

11,682 the answer is that hope you get a A!

531

×22

+1062

+1062  

=11682

Therefore:

531 × 22 = 11,682

Answer:

-47

Step-by-step explanation:

you don't you use the calcaulator

Answer:

AB = 18 m . Thus, the original height of the tree = 18 m.

Step-by-step explanation:

The functions I(x) and E(x) of the theatre's income and expenses are illustrations of linear functions.

The theatre charges $4.50 per student.

Assume the number of students is x, the equation of the theatre's income would be:

I(x) = 4.5x

The theatre expense per student is $1.25, and the operating cost on the staff is $130

The equation of the theatre's expenses would be:

E(x) = 1.25x + 130

Using the formulas I(x) = 4.5x and E(x) = 1.25x + 130, the complete table is:

Students, x  0       10        20     30      40      50      60    70

Income, I      0      45        90     135     180    225    270   315

Expenses, E 130  142.5   155    167.5   180   192.5   205  217.5

See attachment

The functions I(x) and E(x) are linear functions.

So, the pattern with which the functions increase is a linear pattern.

This means that:

I(x) = E(x)

So, we have:

4.5x = 1.25x + 130

Subtract 1.25 from both sides

3.25x = 130

Divide both sides by 3.25

x = 40

Hence, the number of students is 40

This is the difference between the theatre expenses and their income.

So, we have:

P(x) = E(x) - I(x)

This gives

P(x) = 1.25x + 130 - 4.5x

Simplify

P(x) = 130 - 3.25x

We have:

E(x) < 255

This gives

1.25x + 130 < 255

Subtract 130 from both sides and divide by 1.25

x < 100 students

Also, we have:

I(x) > 675

This gives

4.5x > 657

Solve for x

x > 146 students

Hence, the number of students for the inequalities are less than 100 and greater than 146

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Answer:

1. The equation isn't balanced because there aren't equal numbers of hydrogen or chlorine atoms on both sides of the equation. To correct this, a coefficient of 2 must be placed in front of HCl on the left-hand side of the equation.

Zn+2HCl→ZnCl2+H2

Zn and 2HCl are the reactants; ZnCl2 and H2 are the products. This is a substitution reaction because a free element (Zn) replaces another element (H) in a compound.

2. This is a balanced equation because the same types of atoms and the same numbers of each atom are present on both sides of the equation. 8 S atoms are found on both sides of the equation, and 48 F atoms are found on both sides of the equation. S8 and 24F2 are the reactants; 8SF6 is the product. This is a combination reaction because two substances (S8 and 24F2) undergo a chemical union to form a more complex substance (8SF6).

S8+24F2→8SF6

3. In ferric oxide (Fe3O4), there are 3 atoms of iron (Fe) and 4 atoms of oxygen (O). From the Periodic Table of Elements, we know that the atomic mass of iron is 55.8457 and the atomic mass of oxygen is 15.9994.

Fe3 = 55.8457 × 3 = 167.5371

O4 = 15.9994 × 4 = 63.9976

167.5371 + 63.9976 = 231.5347 (231.535 rounded)

Therefore, the molecular mass of ferric oxide is 231.535.

4. The percentage composition of chlorine in CaCl2 is derived as follows:

The molecular mass of the entire compound is:

Ca = 40.078 × 1 = 40.078

Cl2 = 35.4527 × 2 = 70.9054

40.078 + 70.9054 = 110.9834 (110.983 rounded)

The atomic mass of each element (or its multiple) is divided by the molecular mass of the compound:

Ca = 40.078 ÷ 110.983 = 0.361

Cl2 = 70.9054 ÷ 110.983 = 0.639

Multiplying each by 100 will turn these into percents. Therefore, the percentage composition of chlorine is 63.9%.

5. i. a, c, f, h

ii. e

iii. b, d, g, i

iv. i

Step-by-step explanation:

PENN FOSTER

The given chemical equation represents a type of reaction known as a single replacement (or displacement) reaction. In this reaction, zinc (Zn) displaces hydrogen (H) from hydrochloric acid (HCl) to form zinc chloride ([tex]ZnCl_2[/tex]) and hydrogen gas ([tex]H_2[/tex]).

The given chemical equation is:

[tex]Zn + HCl \rightarrow ZnCl_2 + H_2[/tex]

To determine if the equation is balanced, we need to check if the number of atoms of each element is the same on both sides of the equation.

On the left side (reactant side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 1

Chlorine (Cl) atoms: 1

On the right side (product side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 2 (from[tex]ZnCl_2 + H_2[/tex])

Chlorine (Cl) atoms: 2 (from [tex]ZnCl_2[/tex])

The number of hydrogen (H) and chlorine (Cl) atoms is not balanced between the reactants and products. To balance the equation, we need to have the same number of atoms on both sides.

Balanced equation:

[tex]Zn + 2HCl → ZnCl_2 + H_2[/tex]

Now, the equation is balanced with the following number of atoms on both sides:

On the left side (reactant side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 2

Chlorine (Cl) atoms: 2 (2 from HCl)

On the right side (product side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 2 (from H2)

Chlorine (Cl) atoms: 2 (from ZnCl2)

Identification of reactants and products:

Reactants: Zn (zinc) and HCl (hydrochloric acid)

Products: [tex]ZnCl_2[/tex] (zinc chloride) and [tex]H_2[/tex] (hydrogen gas)

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Answer:

number is either 5600 or 5550 or 5560 or 5570 or 5580 or 5590

Step-by-step explanation:

Do mark BRAINLIEST

Answer:

480 in^3

Step-by-step explanation:

Multiplying the length of each of the sides together gives the volume, so [tex]12*4*10=480[/tex]