Find the surface area of the rectangular prism below.

Answer:

D.

Step-by-step explanation:

According to converse of the Pythagorean Theorem, that if the square of the third side (longest side) of a triangle equals the sum of the other two shorter sides, therefore, the triangle formed must be a right triangle.

From the side lengths given, the following satisfies the Pythagorean triple:

5² + 12² = 13².

Therefore, the procedure to use to confirm the converse of the Pythagorean Theorem would be to draw the two shortest side, 5 cm and 12 cm, so that a right angle will be between them. The side measuring 13 cm should therefore fit in to form a right triangle.

Answer:

[tex]3.7[/tex]

Step-by-step explanation:

[tex]3.9 < 3.7[/tex]

Answer:

answer is A

3.7

Step-by-step explanation:

Answer:

x ≈ 5.89

General Formulas and Concepts:

Pre-Algebra

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

0.77 = log(x)

Step 2: Solve for x

Answer:

x >2

Step-by-step explanation:

x/2 +3 > 4

Subtract 3 from each side

x/2 +3-3 > 4-3

x/2 >1

Multiply each side by 2

x/2*2 >1*2

x >2

Answer:

x > 2

Step-by-step explanation:

A linear inequality is given to us and we need to find the interval of x. The given inequality is

⇒ x/2 + 3 > 4

Subtract 3 to both sides,

⇒ x/2 + 3 - 3 > 4 -3

⇒ x/2 > 1

Multiply both sides by 2 ,

⇒ x > 2

Hence x can have all values more than 2 .

Answer:

B

Step-by-step explanation:

The equation represented in the question is the parent absolute value question. If you know the different parent functions, then the answer is obvious because absolute value equations always form a V. However, if you do not do this then you can create a table and plugin values. Plugin numbers like 0, -1, and 1 for X and solve for Y. Finally, graph these points and see what graph best fits. If needed you can also plug in more points.

Answer:

B.

Step-by-step explanation:

I got it correct on the warm up

Answer:

The complete question and its solution in the attached file please find it.

Step-by-step explanation:

Answer:

just make a 120 angle and divide it by 2, 60.

Answer:

y = 3/4 x + 4

y equals 0.75 x plus 4

Step-by-step explanation:

y = 3/4 x + b

1 = 3/4 (-4) + b

1 = -3 + b

b = 4

Answer:

Step-by-step explanation:

Another way to solve this to use the point-slope form:

Substitute the values of m, x₁, y₁ and convert this into slope-intercept form:

Correct choice is A

Answer:

There are 51 boxes all together.

Step-by-step explanation:

Since there are three separate, equal-size boxes, and inside each box there are four separate small boxes, and inside each of the small boxes there are three even smaller boxes, to determine how many boxes are there all together, the following calculation must be done:

3 + 3 x 4 + 3 x 4 x 3 = X

3 + 12 + 36 = X

51 = X

Therefore, there are 51 boxes all together.

Answer:

k = - 4

Step-by-step explanation:

The equation representing direct variation is

y = kx ← k is the constant of variation

Given

4x = - y ( multiply both sides by - 1 )

- 4x = y , that is

y = - 4x ← in standard form

with k = - 4

Answer:

a. -1

e. 5/4

Step-by-step explanation:

Hi there!

The quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex] where the given quadratic is in the form [tex]ax^2+bx+c=0[/tex]

From the given equation [tex]4x^2-x-5 = 0[/tex], we can identify the values of a, b, and c:

a=4

b=-1

c=-5

Plug these values into the quadratic formula:

[tex]x=\frac{-(-1)\pm\sqrt{(-1)^2-4(4)(-5)}}{2(4)}\\x=\frac{1\pm\sqrt{81}}{8}[/tex]

[tex]x=\frac{1\pm9}{8}[/tex]

[tex]x=\frac{1+9}{8}= \frac{5}{4} \\x=\frac{1-9}{8} = -1[/tex]

Therefore, the solutions to the quadratic are 5/4 or 1.

I hope this helps!

Answer:

1000

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

[tex]5 \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \sqrt{5} \times \sqrt{10} \\ = \sqrt{5} \times \sqrt[]{5} \times \sqrt{2} \\ = 5\sqrt{2} [/tex]

Answer: p >-17/5

Step-by-step explanation:

Answer:

P = [tex]\frac{-17}{5}[/tex]

Step-by-step explanation:

Substract 3P from both sides:

5P  + 2 >  - 15

Subtract 2 from both sides:

5P > -17

Divide both sides by 5:

P = [tex]\frac{-17}{5}[/tex]

Answer:

[tex]\boxed{\sf A) ( 1,0) }[/tex]

Step-by-step explanation:

A quadratic function is given to us and we need to find the x Intercept of the graph of the given function . The function is ,

[tex]\sf \implies f(x) = x^2 -2x + 1 [/tex]

For finding the x intercept , equate the given function with 0, we have ;

[tex]\sf \implies x^2 -2x + 1 = 0 [/tex]

Split the middle term ,

[tex]\sf \implies x^2-x-x+1=0[/tex]

Take out common terms ,

[tex]\sf \implies x( x -1) -1( x -1) = 0[/tex]

Take out (x - 1 )as common ,

[tex]\sf \implies (x - 1 )(x-1) = 0[/tex]

Equate with 0 ,

[tex]\sf \implies x = 1,1 [/tex]

Therefore the root of the function is 1. Hence the x Intercept is (1,0)

Hence the x Intercept is (1,0) .

Step-by-step explanation:

x² - 2x + 1 = 0

x² - (x + x) + 1 = 0

x² - x - x + 1 = 0

x(x - 1) - 1(x - 1) = 0

(x - 1)(x - 1) = 0

x = 1

Hence,

Option A

Answer:

hope it helps

Step-by-step explanation:

The given inequality is

The sign of inequality is ≤, it means the points on relation line lie in the solution set.

The related equation of the inequality is

At x=0,

At x=1,

Plot the points (0,0) and (1,-2) on a coordinate plane.

The sign of inequality is ≤, it means we have shade below the line.

The point (-2,4) and (3,-6) are in solution set because,

    (True)

     (True)

Therefore option A is correct.

The points (1,2) and (1,3) are not in the solution set because,

   (False)

  (False)

The correct answer for the inequality is,

⇒ (-2, 4) (3,- 6)

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ y ≤ - 2x

Now, We can find the solution of the inequality as;

We know that;

The points are satisfy the inequality are called solution of the inequality.

Hence, By option A;

Points are,

(-2, 4) and (3,- 6)

Put x = - 2, y = 4;

⇒ y ≤ - 2x

⇒ 4 ≤ - 2 x - 2

⇒ 4 ≤ 4

Which is true.

Put x = 3, y =  - 6;

⇒ y ≤ - 2x

⇒ -6 ≤ - 2 x 3

⇒ - 6 ≤ - 6

Which is true.

Hence, The correct answer for the inequality is,

⇒ (-2, 4) (3,- 6)

Learn more about the inequality visit:

https://brainly.com/question/25944814

#SPJ7

Complete question is,

On a piece of paper, graph y≤ -2x.Then determine which answer matches the graph you drew.

A.(-2,4) (3,-6)

B.(-2,4) (1,2)

C.(-2,-6) (1,3)

D.(-2,-6) (1,3)

Answer:

A.

Step-by-step explanation:

Twust me n' dwont doubt me

A is for apple

And cause A looks like ABC

DWUHHH

Step-by-step explanation:

hey guys how do you put a picture like you did ?

Answer:

A

Step-by-step explanation:

[tex]\sqrt{3-2*\sqrt2}=\sqrt{(\sqrt2)^2-2\sqrt2*1+1^2}=\sqrt{(\sqrt2-1)^2}=\sqrt2-1[/tex]

Answer:

QR = sqrt(147)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

7^2 + QR^2 = 14^2

49 + QR^2 = 196

QR^2 = 196-49

QR^2 = 147

Taking the square root of each side

QR = sqrt(147)

Answer:

The polygons are not similar..

Step-by-step explanation:

We have given the two polygons which are parallelogram with the opposite sides 10.4 units, 3.74 units, 4 units and 1.7 units

For the polygons to be similar, ratios of both the polygons must be equal.

Lets check whether the two polygons are equal or not.

10.4/3.74 = 2.78

4/1.7 = 2.35

Therefore it is proved that both the polygons are not similar because both these ratios are not equal....

Answer:

270 m

Step-by-step explanation:

Add up all the sides

P = 19 +18.8+18.8 +18.8+18.8+40.8+19+40.8+18.8+18.8+18.8+18.8

P = 270 m

odd numbers more than 100 are infinite.

Answer:

2/12 = 1/6

Step-by-step explanation:

To find the probability of something with an equal chance of each outcome, we can apply the formula (number of favorable outcomes)/(number of total outcomes). Because there is an equal chance for each side of the die to be landed on, we can apply this.

On a 12 sided die, there are 12 sides. Two of those sides are 3 and 9. Therefore, there are two favorable outcomes (3 and 9). There are 12 sides to choose from, so there are 12 total outcomes, making the probability 2/12 = 1/6

Answer:

There are 45,697,600 different possible license plates. If no letters or numbers are repeated, there are 32,292,000 possible license plates.

Step-by-step explanation:

For the first question, we can repeat letters and digits.

Let [tex]\ell[/tex] represent a letter and [tex]#[/tex][tex]\#[/tex] represent a digit. The license plate format given is:

[tex]\underline{\ell}\:\:\underline{\ell}\:\:\underline{\ell}\:\:\underline{\ell}\:\:\underline{n}\:\:{\underline {n}[/tex]

For each letter, there are 26 letters to choose from (alphabet). For each digit, there are 10 numbers to choose from (0-9).

Since we're choosing 4 letters and 2 numbers, the number of possible license plates is:

[tex]26\cdot 26\cdot 26\cdot 26\cdot 10\cdot 10=\boxed{45,697,600}[/tex]

If we stipulate that no letter or digit may be repeated, then we'll still have 26 choices for the first letter, but for the second letter, we'll only have 25. Then 24, 23, and so on. Similarly, for the first digit, there will be 10 choices, then 9, 8, and so on.

Therefore, the desired answer for the second part of the question is:

[tex]26\cdot 25\cdot 24\cdot 23\cdot 10\cdot 9=\boxed{32,292,000}[/tex]

*Note that we don't need to account for rearrangements as [tex]HOCL67[/tex] and [tex]CLHO76[/tex] are considered different license plates (order matters).

Answer:

WZY=170°

XYZ=60°

Step-by-step explanation:

Straight line, so WZY=180-10=170

Angles in a quadrilateral add to 360°, so:

100+30+170=300

360-300=60

XYZ=60°

Answer:

170° and 52°

Step-by-step explanation:

∠ WZY and ∠ YZA are adjacent angles and sum to 180° , that is

∠ WZY + 10° = 180° ( subtract 10° from both sides )

∠ WZY = 170°

The sum of the angles in a quadrilateral = 360°

sum the angles and equate to 360

∠ XYZ + 170° + 38° + 100° = 360°

∠ XYZ + 308° = 360° ( subtract 308° from both sides )

∠ XYZ = 52°

Answer:

????????????

I don't know