Which three dimensional figures could be used

Answer:

a. (3x² - 2x - 5) units²

b. (x² - x) units²

c. (2x² - x - 5) units²

Step-by-step explanation:

a. Area of the frame = L*W

L = (x + 1) units

W = (3x - 5) units

Area of the frame = (x + 1)(3x - 5)

Apply distributive property

x(3x - 5) +1(3x - 5)

3x² - 5x + 3x - 5

Area of the frame = (3x² - 2x - 5) units²

b. Area of the picture = L*W

L = x units

W = (x - 1) units

Area of the picture = x(x - 1)

Apply distributive property

= x² - x

Area of picture = (x² - x) units²

c. Area of the frame that surrounds the picture = area of frame - area of picture

= (3x² - 2x - 5) - (x² - x)

= 3x² - 2x - 5 - x² + x (distributive property)

Add like terms

= 3x² - x² - 2x + x - 5

= 2x² - x - 5

Area of the frame that surrounds the picture = (2x² - x - 5) units²

Answer:

Step-by-step explanation:

20=3x-4y, add 4y to each side

4y+20=3x, subtract 20 from each side

4y=3x-20, divide each side by 4

y=(3x-20)/4 or if you prefer

y=0.75x-5

Answer:8.99 cm

Step-by-step explanation:

Answer:

[tex]8.995[/tex]cm

Step-by-step explanation:

The circumference formula is: [tex]C=2\pi r[/tex]

We are given the circumference, which is 56.52cm.

The question wants us to find the radius, r.

To achieve this, we must solve for r.

Plugging in 56.52 for C we get:

[tex]56.52=2\pi r[/tex]

Dividing both sides by [tex]2\pi[/tex], we find r:[tex]8.995[/tex]

[tex]\frac{56.52}{2\pi } =r[/tex]

[tex]8.995[/tex]≈[tex]r[/tex]

If you want to round it up, you can round it to 9cm.

Answer:

b cuz yea its correc

Step-by-step explanation:

its b just b I know

Answer:

B he is correct

Step-by-step explanation:

Answer: Circle

Step-by-step explanation:

Answer:

Its perpendicular

Step-by-step explanation:

Because the slopes are recipricles of eachother

Answer:

if t=60, then 6(60)/9-23. (360-198)/9

=18

Answer:

12 + 4x

Step-by-step explanation:

To solve this you would have to use the distributive property.

The problem would basically go like this.

4 (3+x)

(Distribute)

(4x3) (4 x X)

4x3 = 12, 4 x x = 4x

So the answer would be 12 +4x

Hope this helps :)

Answer:

12+4x

Step-by-step explanation:

4(3+x)

1️⃣Expand by distributing terms.

4*3+4x

2️⃣Simplify 4*3 to 12

12+4x

Answer: 12+4x

Done ✔

Answer:

53

Step-by-step explanation:

4ft x 12 = 48 in

48 in+ 5 in= 53

4 feet and inches will be equal to 53 inches .

Given,

4 feet 5 inches

Now conversion of inches to feet,

Few unit conversions,

Conversion Factors:

1 mile = 5280 feet

1 foot = 12 inches

1 inch = 2.54 cm

1 cm = 10 mm

1 second = 1 s

1 feet = 12 inches

Here we need to convert feet into inches,

So,

1 feet = 12 inches

4 feet = 48 inches

Hence the height will be,

48 inches + 5 inches = 53 inches

Learn more about conversions,

brainly.com/question/28600662

#SPJ6

Answer:

suppose: the age of the man now is x

the sum of the ages of his two sons now is y

(x, y > 0, x, y € N)

so the age of the man 10 years ago is x - 10

the sum of the ages of his 2 sons ten years ago is

y - 20

because now, The age of a man is twice the sum of the ages of his two sons => x = 2y

because Ten years ago, his age was five times

the sum of their ages

=> x - 10 = 5( y - 20)

<=> x - 10 = 5y - 100

<=> 2x - 20 = 10y - 200

<=> 2x = 2y.5 - 180

but x = 2y => 2x = 5x - 180

<=> 3x = 180

<=> x = 60

=> his present age is 60

Answer:

show more picture pls!

Step-by-step explanation:

Answer:

I think is the 3rd one but I am not sure

Answer:

0.5 = 50% probability that he or she is not in any of the language classes.

Step-by-step explanation:

We treat the number of students in each class as Venn sets.

I am going to say that:

Set A: Spanish class

Set B: French class

Set C: German class

We start building these sets from the intersection of the three.

In addition, there are 2 students taking all 3 classes.

This means that:

[tex](A \cap B \cap C) = 2[/tex]

6 that are in both French and German

This means that:

[tex](B \cap C) + (A \cap B \cap C) = 6[/tex]

So

[tex](B \cap C) = 4[/tex]

4 French and German, but not Spanish.

4 that are in both Spanish and German

This means that:

[tex](A \cap C) + (A \cap B \cap C) = 4[/tex]

So

[tex](A \cap C) = 2[/tex]

2 Spanish and German, but not French

12 students that are in both Spanish and French

This means that:

[tex](A \cap B) + (A \cap B \cap C) = 12[/tex]

So

[tex](A \cap B) = 10[/tex]

10 Spanish and French, but not German

16 in the German class.

This means that:

[tex](C - B - A) + (A \cap C) + (B \cap C) + (A \cap B \cap C) = 16[/tex]

[tex](C - B - A) + 2 + 4 + 2 = 16[/tex]

[tex](C - B - A) = 8[/tex]

8 in only German.

26 in the French class

[tex](B - C - A) + (A \cap B) + (B \cap C) + (A \cap B \cap C) = 26[/tex]

[tex](B - C - A) + 10 + 4 + 2 = 26[/tex]

[tex](B - C - A) = 10[/tex]

10 only French

28 students in the Spanish class

[tex](A - B - C) + (A \cap B) + (A \cap C) + (A \cap B \cap C) = 16[/tex]

[tex](A - B - C) + 10 + 2 + 2 = 28[/tex]

[tex](A - B - C) = 14[/tex]

14 only Spanish

At least one of them:

The sum of all the above values. So

[tex](A \cup B \cup B) = 14 + 10 + 8 + 10 + 2 + 4 + 2 = 50[/tex]

None of them:

100 total students, so:

[tex]100 - (A \cup B \cup B) = 100 - 50 = 50[/tex]

(a) If a student is chosen randomly, what is the probability that he or she is not in any of the language classes?

50 out of 100. So

50/100 = 0.5 = 50% probability that he or she is not in any of the language classes.

Answer:

-4x^9

Step-by-step explanation:

Answer:

Uhh I just want the points

Answer:

[tex]y = -x -1[/tex]

Step-by-step explanation:

Given

Passed through (-5,4)

Parallel to: y=-x + 6

Required

Determine the line equation

If it is parallel to: y=-x + 6, then it means that they have the same slope.

A linear equation y = mx + b has the slope m.

So, by comparison of y = mx + b  to y = -x + 6

[tex]m = -1[/tex]

The line equation is then calculated as:

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

Where

[tex]m = -1[/tex]

[tex](x_1,y_1) = (-5,4)[/tex]

So:

[tex]y = -1(x - (-5)) + 4[/tex]

[tex]y = -1(x +5) + 4[/tex]

[tex]y = -x -5 + 4[/tex]

[tex]y = -x -1[/tex]

Answer:

B) 144°

Step-by-step explanation:

<AEC=108

<EDG= 180-108=72

<DEF=180-72=108

<AEF=360-108-108=144

Answer:33.6

Step-by-step explanation:

Answer:

32.6

Step-by-step explanation:

9514 1404 393

Answer:

  1. 6.1 to 10.3

  2. 9.6 hours

  3. 7.5 hours

Step-by-step explanation:

1. The empirical rule or the supplied chart will tell you that μ ±3σ of the distribution is within 99.7% of the mean. Here, that is ...

  8.2 ±3(0.7) = 8.2 ±2.1 = [6.1, 10.3]

The range of hours is 6.1 to 10.3 hours.

__

2. 2.5% of the distribution is above μ +2σ, or ...

  8.2 +2(0.7) = 9.6 . . . hours

__

3. The bottom 16% of the distribution is below μ -σ, or ...

  8.2 -0.7 = 7.5 . . . hours

Answer:

divide 31 by 49 and multiply the result by 100

(31÷49 ) × 100

Answer: i dont know trie asking linder0917

Step-by-step explanation:

ok

Answer:

8x + 33

Solution:

13 + 4 (2x+5)

4 • 2x = 8x

4 • 5 = 20

20 + 15 = 33

8x + 33 Is your answer

Answer:

1.25

Step-by-step explanation:

Answer:

I just did it its 1/3n - 5

Step-by-step explanation: