Find the domain and range for the function shown in the
graph given below.

The total surface area of the figure will be 1968.85 square meters.

To determine  the surface area of the figure, we need to find the area of each face and then add them together.

Surface Area of the rectangular prism = 2(lb + bh + hl)

= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)

= 2(152 + 133 + 224) = 2(509)

= 1018 m²

Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:

Surface Area of the triangular prism;

= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)

= (154 + 350.35 + 445.5)

= 950.85 m²

Therefore, the total surface area of the figure will be;

Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism

= 1018 m² + 950.85 m²

= 1968.85 m²

So, the surface area of the figure is 1968.85 square meters.

Learn more about a rectangular prism;

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Answer:

31/1000

Step-by-step explanation:

Equivalent fraction would be 31/1000

Approximate value would be 4/129 or 3/97

2nd X..

I hope that this is correct

Based on the information given, we know that the two triangles have two pairs of congruent angles. This is sufficient to prove that the two triangles are congruent using the AAS (Angle-Angle-Side) postulate. Therefore, the method I would use to prove the two triangles congruent is **AAS**.

Answer:

x=4.47213

I hope it's helps you

9514 1404 393

Answer:

  b.  5

Step-by-step explanation:

For the trinomial to be factorable using integers, the value of b will be the difference of two factors of 24.

  24 = 1×24 = 2×12 = 3×8 = 4×6

Differences of these factors are 23, 10, 5, 2. Of these, only 5 is listed as a choice.

  b = 5 will make the expression factorable.

Step-by-step explanation:

Height of tower - 80m

Distance between foot of tower and boat 1 = x

Distance between boat 1 and boat 2 =y

Tan 45 = 1 = 80/x

x = 80

Tan 30 = 1 / root 3 = 80 / 80 + y

y = 80 root 3 + 80

Answer:

Add all the values up and then divide by 2

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

The midpoint (x,y)=(6,9)

Step-by-step explanation:

We need to find midpoints(x,y) of the line segment having endpoints S(8, 8) and T(4, 10)

The formula to find midpoint is:

\(Midpoint(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\\)

We are given: \(x_1=8, y_1=8, x_2=4 , y_2=10\)

Putting values and finding midpoint

\(Midpoint(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\Midpoint(x,y)=(\frac{8+4}{2},\frac{8+10}{2})\\Midpoint(x,y)=(\frac{12}{2},\frac{18}{2})\\Midpoint(x,y)=(6,9)\)

So, the midpoint (x,y)=(6,9)

Answer:

your teacher get all her answer from quizlet

Answer:

39 3/8 ft ^2

Step-by-step explanation:

To find the area of a rectangle, multiply the length times the width.

A = l*w

  = 7 1/2  * 5 1/4

Change the mixed numbers to improper fractions.

A = 15/2 * 21/4

    =315/8

Change back to a mixed number.

8 goes into 315 39 times with 3 left over.

 = 39 3/8

Answer:

(you can round to 39.4)

Step-by-step explanation:

Find the area of the rectangle shown

7 1/2 ft

5 1/4ft

7 1/2 = 7.5 ft

5 1/4 = 5.25 ft

Area = L x W

Area = 7.5 x 5.25

Area = 39.375

Answer

its scale factor is ​4/3 and 0.75

Step-by-step explanation:

However, I can still give you some general steps to solve a math problem in 200 words.

Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.

Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.

Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.

Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.

Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.

For such more question on constraints

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Answer:

Step-by-step explanation:

At least 9 means more than 9 and includes 9

x ≥ 9     and    [9,  +∞)

At most 9 means numbers less than 9

x≤9       and  (-∞, 9]

more than 9 means bigger than 9 but not including 9

x > 9     and    (9,  +∞)

fewer than 9 means less than 9 but not including 9

x<9       and  (-∞, 9)

strictly between 7 and 9   means between 7 and 9 but not including

7<x<9      and    (7,9)       (This is the only one I'm unsure of.  Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)

between 7 and 7 inclusive.   means it's just =7  There's no boundaries

x=7

no more than 7 means less than 7 and includes 7

x ≤ 7   and   (-∞, 7]

Answer:

8

Step-by-step explanation:

It would be 5 to the 8th power since there are 8 fives being multiplied

Answer:

5 = 5^1

5x5 = 5^2

5x5x5 = 5^3

see a pattern here?

exponents are just a shorthand way of writing multiplication, just as multiplication is a short way of writing addition:

2*2 + 2+2

3*2 = 2+2+2

etc.

Step-by-step explanation:

To write the equation of a circle centered at (h, k) with a diameter of d, we can use the standard form of the equation:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) represents the center of the circle and r represents the radius.

In this case, the center of the circle is (-4, 4), and the diameter is 14. The radius is half of the diameter, so the radius would be 14 / 2 = 7.

Substituting the values into the equation, we have:

(x - (-4))^2 + (y - 4)^2 = 7^2

Simplifying further:

(x + 4)^2 + (y - 4)^2 = 49

Therefore, the equation of the circle centered at (-4, 4) with a diameter of 14 is:

(x + 4)^2 + (y - 4)^2 = 49

Answer:

10

Step-by-step explanation:

8 + 6 - (8 ÷ 4) × 2

8 + 6 - 2 × 2

8 + 6 - 4

14 - 4

10

The Formula:

t = cn + 42

Answer:

The Pythagorean theorem states that a2 + b2 = c2 in a right triangle where c is the longest side. You can use this equation to figure out the length of one side if you have the lengths of the other two.

Answer:

0

Step-by-step explanation:

-14+22=8

8+-16=-8

-8+8=0

Answer:

0

Step-by-step explanation:

(-14) + 22 + 8 + (-16)

0

So 0is the answer

Answer:

B

Step-by-step explanation:

a prime polynomial is one which does not factor into 2 binomials.

its only factors are 1 and itself

attempt to factorise the given polynomials

3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )

= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(3x² - 2) ← in factored form

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

3x³ - 2x² + 3x - 4 ( factor the first/second terms

= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored

thus this polynomial is prime

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

4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )

= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term

= (2x + 1)(2x² + 3) ← in factored form

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

4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )

= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(4x² - 3) ← in factored form

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

the only polynomial which does not factorise is

3x³ - 2x² + 3x - 4

Answer:  141 °

Step-by-step explanation:

we know sum of angles of a triangle is always 180°.(Angle sum property)

then,

∠E+∠F+∠G=180°

8x+5+2x-1+x-11=180°

11x-7=180C

x=187/11

x=17°

m∠E=8x+15=8*17+5=141°

Answer:

3lb 4oz and .5T=1000lbs

Step-by-step explanation:

1 lb = 16 oz 3×16=48 then +4 = 52 and 1T=2000lbs 2000 ÷ 2=1000

Answer:

\(\huge\boxed{\sf 38}\)

Step-by-step explanation:

= a³ + b (6 + c)

Put a = 2, b = 3 and c = 4

= (2)³ + 3 (6 + 4)

= 8 + 3(10)

= 8 + 30

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

the requied answer is 38.

according to the question the value of a=2,b=3,c=4.

here,

to find the value of   a³ + b (6 + c)we have to do it in steps:

step 1: solve the bracket (6+4) =10.

step 2:  solve the value of a³ =8.

now put these values ,

=8+3(10)

=38.

Answer:

Step-by-step explanation:

When the data set has odd number of elements, the median is the middle value.

When a data set has an even number of elements, the median is calculated by averaging the middle two values.

Answer:

4/9 or 44%

Step-by-step explanation:

4 + 5 = 9

Probability: 4/9 or 44%

Answer:

x = 8

Step-by-step explanation:

Step 1: Write out the expression

x + 2x = 24

Step 2: Combine like terms

3x = 24

Step 3: Isolate x

x = 8

And we have our final answer!

Answer:

X=8

Step-by-step explanation:

SOLUTION

The correct option is A (the first option)

We are asked to find the measure of the angle at the center.

Circle theorem:

The angle at the center of a circle = 2 x Angle at the circumference

The angle at the center of the circle = 2 x = 2 x 91 degrees

=182 degrees

The value for the angle at the center (?) of this circle is

The correct option is A (the first option)

Check the picture below.

\(\textit{Law of Sines} \\\\ \cfrac{a}{\sin(\measuredangle A)}=\cfrac{b}{\sin(\measuredangle B)}=\cfrac{c}{\sin(\measuredangle C)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{h}{\sin(157^o)}=\cfrac{240}{\sin(6^o)}\implies h\sin(6^o)=240\sin(157^o) \\\\\\ h=\cfrac{240\sin(157^o)}{\sin(6^o)}\implies h\approx 897.1~cm\)

Make sure your calculator is in Degree mode.