mack used this model to find the quotient of 588 ÷ 14

what equation shows the final step in finding the quotient?​

Answer: Shorter leg = 6 inches

Longer leg = 6+2 = 8 inches

Step-by-step explanation:

Let the shorter leg bw represented by x.

Therefore, the longer leg will be x+2.

The hypothenuse is 10inches

We should note that in Pythagoras theorem, the square of the longer and shorter side equals the square of the hypothenuse. This will be:

x² + (x+2)² = 10²

x² + x² + 4x + 4 = 100

2x² + 4x = 100 - 4

2x² + 4x = 96

2x² + 4x - 96 = 0

x² + 2x - 48 = 0

x² + 8x - 6x - 48 = 0

x(x + 8) -6(x + 8) = 0

x - 6 = 0

x = 0+6.

x = 6

Shorter leg = 6 inches

Longer leg = 6+2 = 8 inches

Answer:

A = length * width

A = 5 (x+2)

A = 5x+10

I'm SO SORRY

Answer:

x=−4/5 or x=−3

Step-by-step explanation:

Step 1: Factor left side of equation.

(5x+4)(x+3)=0

Step 2: Set factors equal to 0.

5x+4=0 or x+3=0

x=−4/5 or x=−3

Answer: m is the slope and b is the y-intercept.

Step-by-step explanation:

it is understandable that the x has a coefficient of 1, so the m is 1 . and the y-intercept( b ) is −4 .

Answer:

31

Step-by-step explanation:

62 / 2 = 31

Answer:

31

Step-by-step explanation:

angle is half of arc

Answer:

-30

Step-by-step explanation:

Answer:

10 feet

Step-by-step explanation:

a²+b²+=c²

a=8ft

b=6ft

look at png sorry i need to type 20 characters but the chart explains everything

simplify your answer but adding/subtracting like terms

Answer:

15x + 12

Step-by-step explanation:

3(5x + 4)

15x + 12

3 · 5x = 15x

3 · 4 = 12

Combine them:

15x + 12

Answer:

3(5x + 4)

15x + 12

3 · 5x = 15x

3 · 4 = 12

15x + 12

Answer: 287

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Answer:

287

Step-by-step explanation:

since we are rounding to a whole number, the number would be depending on .3

3 is less than 5 so round down

287

Answer:

Step-by-step explanation:It's c bestie ,;

Answer:

The answer is C

Step-by-step explanation:

I took the quiz and looked it up just to make sure

Step-by-step explanation:

Cumulative frequency can also defined as the sum of all previous frequencies up to the current point.

So, 48+24=72

So, the missing cumulative frequency is . 72

Answer:

the missing cumulative frequency is . 72

Step-by-step explanation:

Answer:

x = 4.5

Step-by-step explanation:

Given a segment joining the midpoints of 2 sides of a triangle, then

the segment is half the length of the 3rd side, that is

5x = 0.5 × 45 = 22.5 ( divide both sides by 5 )

x = 4.5

Answer:

To answer this question I need the values of the rhombus. like the p and the q.

Step-by-step explanation:

Answer:

-12 degrees

Step-by-step explanation:

the graph

Answer:

decomposer

Step-by-step explanation:

The justification (D) shading is to the left because (0, 0) does not satisfy the inequality option (D) is correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have inequality:

[tex]\rm x+3.5 < \dfrac{1}{10}(y-2)^2[/tex]

If plug (0, 0)

0 + 3.5 < 4/10

Which is not true.

Thus, the justification (D) shading is to the left because (0, 0) does not satisfy the inequality option (D) is correct.

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Answer:

Hopes this SS Helps you

Step-by-step explanation:

XOXO

KIT

Answer:

x = 2, x = 4

Step-by-step explanation:

Begin by letting f(x) = 0 , that is

x² - 6x + 8 = 0

Consider the factors of the constant term (+ 8) which sum to give the coefficient of the x- term (- 6)

The factors are - 2 and - 4 , since

- 2 × - 4 = + 8 and - 2 - 4 = - 6 , then

(x - 2)(x - 4) = 0

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 4 = 0 ⇒ x = 4

Answer: ummm... i think it is.. 3-2

Step-by-step explanation:

Answers of the quiz are as follows

A. 75

B. -50

C. 20

D. -12

We have been given that -

Number of questions= 25

Correct answers= x and score= 3

Incorrect answers= y and score= -2

Not answered= z and score= 0

We can calculate the score as:

A) What is the maximum score you could get on the quiz?

Maximum score one can get on the quiz if he / she correct all i.e. -

25 × 3 = 75.

B)  What is the minimum score you could get on the quiz?

Minimum score one can get on the quiz if he / she correct all i.e. -

25 ×-2 = -50.

C)  A student answers 15 questions.10 are correct. How many points does he score?

Scored points = (10 × 3) + (5 × -2)

= 30 -10

=20 points

D) Another student answers 21 questions. 6 are correct. How many points does she score?

= 6 × 3 + (15 × -2)

= 18-30

= - 12 points

Hence, the answer are a- 75 , b- -50 , c - 20, d- -12.

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Answer:

1) 4

2) 15/2

3) 75

Step-by-step explanation:

Answer:

1. If BD = 2, then CE = 2*BD = 2*2 = 4

2. If AC = 15, the AB = 1.2*15 = 7.5

3. If m∠ADB = 75°, then m∠AEC = m∠ADB = 75° as corresponding angles

4. If AE = 6x + 8 and BD = 18, then x is:

5. If BD = x + 1 and CE = x + 10 then:

Answer:

D.B

Step-by-step explanation

40+35= 75+105= 180

(edited)

Answer:2 yds and h

Step-by-step explanation:

The volume of the new cylinder will be equal to 40.96 cubic centimeters.

The amount of space inside a cylinder is its volume. You can find it by dividing the base area by the height.

The formula to calculate the volume of the cylinder is given below:-

V = πr²h

Given that volume of a cylinder is 80 cubic centimeters. The diameter and height of the cylinder is multiplied by 4/5. The new volume will be:-

Vi= πr²h = 80 cubic centimeters.

The new volume will be calculated as:-

Vn= π (4/5r)²(4/5)h

Vn = (64 / 125 )  πr²h

Vn = (64 / 125 ) x Vi

Vn = (64 / 125 ) x 80

Vn = 40.96 cubic centimeters.

Therefore, the volume of the new cylinder will be equal to 40.96 cubic centimeters.

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9514 1404 393

Answer:

  260π in²

Step-by-step explanation:

The slant height is the hypotenuse of a right triangle with legs 10 and 24. Using the Pythagorean theorem, we find it to be ...

  l² = 10² +24² = 100 +576 = 676

  l = √676 = 26

The given formula tells you the lateral area is ...

  A = πrl = π(10 in)(26 in)

  A = 260π in² . . . . . cone's lateral area

_____

Additional comment

The name of the constant relating diameter to circumference (π) is "pi". It is the 16th letter of the Greek alphabet. "Pie" is something else entirely.

Answer:

260[tex]\pi in^{2}[/tex]

Step-by-step explanation:

Option (C) is the correct option.

"In geometry, a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). If the sides are represented by arrows, then the side is parallel to each other. A quadrilateral with sides of different lengths, may not have the sides parallel to each other".

For the given situation,

From the definition, a quadrilateral with sides of different lengths has no parallel sides.

Hence, option (C) is the correct option.

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Answer:

i think the answer is A

Step-by-step explanation:

9/15 simplified is 3/5

Answer:

best represent the simplified relative frequency of winning 9 out 15 games:9/15=3/5

Answer:

C) 180

Step-by-step explanation:

y = 105 (because of alternate interior angles)

105 + x = 180

x = 75

x + y

105 + 75

180