A regular heptagon has an apothem of approximately 6.7 cm and a perimeter of approximately 45.5 cm.
Find the area of the heptagon.

Answer:

Step-by-step explanation:

A) 4x + 6 = 2x - 12

Subtract 6 from both sides

4x + 6 - 6 = 2x - 12 -6

4x = 2x - 18

Subtract 2x form both sides

4x - 2x = 2x - 18 - 2x

2x = -18

B) 24 = 6x - 18

6x - 18 = 24

6x - 6*3 = 24

6(x - 3) = 24

Divide both sides by 6

[tex]\frac{6(x - 3)}{6}=\frac{24}{6}\\\\[/tex]

x - 3 = 4

Answer:

hope this is correct

Answer:

A.

Step-by-step explanation:

1 radian = 180/π

So

Multiplying both sides by 25π/18

We'll get,

25π/18 (r) = (180/π)×(25π/18)

= (180×25)/18

= 10×25

= 250 degrees

Answer:

3.400

Step-by-step explanation:

Cinema 25        Cinema 16  

   5+

2+ 5 =7

the people mostly pick Cinema 25

7/2 =  3.5

Answer: 3.40 x 10

Answer:

jxz

Step-by-step explanation:

just did the question on edge

Answer:

jxz

Step-by-step explanation:

Answers:

20%, 0.2

1/4, 0.25

50%, 0.5

2/3

Answer:

Step-by-step explanation:

Fraction: 1/4 since 25% is 25% of 100%

Fraction: 1/3

Percentage: 1/5 = 0.2 = 20%

Percentage: 1/2 = 0.5 = 50%

Decimal: 20% = 0.2

Decimal: 25% = 0.25

Decimal: 50% = 0.5

Answer:

One of the most important differences between the sine and cosine functions is that sine is an odd function (i.e. while cosine is an even function (i.e. . Sine and cosine are periodic functions; that is, the above is repeated for preceding and following intervals with length .

Step-by-step explanation:

Hope that helps

Answer:

A). Surface area = 222 cm²

Volume = 180 cm³

B). Surface area = 375 cm²

Volume = 360 cm³

C). % increase in surface area = 67.57%

% increase in volume = 100%

Step-by-step explanation:

In the figure attached base of a prism has been given.

A). Surface area of the prism = (Perimeter of the base of the prism) × height + 2(area of the base)

Perimeter of the base = 5 + 3 + 2 + 2 + 2 + 3 + 5 + 8

                                       = 30

Area of the base = 8×5 - 2×2 = 36 cm²

Surface area of the prism = 30×5 + 2×(36)= 222 cm²

Volume of the prism = volume of the bigger prism - volume of the smaller prism cut off

                                  = 8×5×5 - 2×2×5

                                  = 200 - 20

                                  = 180 cm³

B). Surface area of the prism if it's height is 10 cm,

Surface area = 30×10 + 2×(36) = 372 cm²

Volume of the prism = 8×5×10 - 2×2×10

                                   = 400 - 40

                                   = 360 cm³                                      

C). Increase in surface area = 372 - 222 = 150 cm²

% increase in the surface area = [tex]\frac{150}{222}\times 100[/tex] = 67.57%

Increase in volume = 360 - 180 = 180 cm³

% increase in volume = [tex]\frac{180}{180}\times 100[/tex] = 100%

Answer: i would say no there not always negative

Answer:

Step-by-step explanation:

Answer:

104

Step-by-step explanation:

2x^2+8x−5=0

This is written in the form

ax^2 + bx+c

a =2  b = 8   c=-5

The discriminant is

b^2 -4ac

8^2 - 4(2)(-5)

64 + 40

104

The discriminant is 104

Answer:

6.63 ft

Step-by-step explanation:

In this case we use pythagora's theorem which is

[tex]hyp^{2}[/tex] = [tex]adj^{2}[/tex] + [tex]opp^{2}[/tex]

in this case, the hypotenuse (hyp) is the length of the ladder, the opposite (opp) is the height of the tree house and, the adjacent (adj) is the distance of the ladder's bottom to the base of the tree.

hpy = 12 ft

opp = 10 ft

adj = ?

substituting into the equation above, we have

[tex]12^{2}[/tex] = [tex]adj^{2}[/tex] + [tex]10^{2}[/tex]

144 = [tex]adj^{2}[/tex] + 100

144 - 100 = 44 = [tex]adj^{2}[/tex]

the image is shown below

adj = [tex]\sqrt{44}[/tex] = 6.63 ft

Answer:

60

Step-by-step explanation:

Sum the parts of the ratio, 5 + 9 + 13 = 27 parts

Divide the amount of concrete by 27 to find the value of one part of the ratio.

324 ÷ 27 = 12 ← value of 1 part of the ratio , thus

5 parts = 5 × 12 = 60 ← cement

9 parts = 9 × 12 = 108 ← sand

13 parts = 13 × 12 = 156 ← gravel

To make 324 ft of concrete, we would need 60 ft of cement.

We have,

Given the ratio of cement, sand, and gravel as 5:9:13, we can consider the total number of parts in the mixture as 5 + 9 + 13 = 27 parts.

Now,

27 parts = 324 ft

Divide both sides with 27.

1 part = 324/27 ft

1 part = 12 ft

Now,

1 part = 12 ft

Multiply 5 on both sides.

5 parts = 5 x 12 ft

5 parts = 60 ft

Therefore,

To make 324 ft of concrete, we would need 60 ft of cement.

Learn more about ratios here:

https://brainly.com/question/2462048

#SPJ4

Answer:

Probably A, or 1

Step-by-step explanation:

You see, a square root function actually looks like a sideways parabola, just missing one side because of the domain of a square root. Now, the reason I can tell them apart is because our vertex is below the y-axis, and the only equation that has a negative y-intercept is the first one, or A.

Hope this helps!

Answer:

Kevin is buying water for his camping trip. He knows he needs at least 20 gallons of water for the trip. He already has five and a half gallons. The water comes in 32-fluid ounce (quarter-gallon) containers.

Which algebraic inequality represents this situation?

(correct) One-fourth x + 5 and one-half greater-than-or-equal-to 20

One-fourth x + 5 and one-half less-than-or-equal-to 20

One-fourth x + 5 and one-half greater-than 20

One-fourth x minus 5 and one-half greater-than 20

Step-by-step explanation:

The first one is correct.

Answer:

it's A :P

One-fourth x + 5 and one-half greater-than-or-equal-to 20

Step-by-step explanation:

Answer:

124(cm)^2

Step-by-step explanation:

total surface area of a cuboid=[tex]2(LB+BH+HL)[/tex]

length=7cm

Breadth=5cm

Height=4cm

2{(2*7)+(5*4)+(4*7)}

2{14+20+28}

2*62

124(cm)^2

Answer:

https://brainly.com/question/14691406

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

You have to use Pythogorean Theorem, c² = a² + b² where c is the hypotenuse and a,b is the side lengths :

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

Let a = 40,

Let b = 9,

[tex] {c}^{2} = {40}^{2} + {9}^{2} [/tex]

[tex] {c}^{2} = 1600 + 81[/tex]

[tex] {c}^{2} = 1681[/tex]

[tex]c = \sqrt{1681} [/tex]

[tex]c = 41 \: units[/tex]

*Take note, hypotenuse will always be the longest length among the 3 lengths.

*Pythogorean Theorem can only applied in a right-angle triangle.

Answer:

1. 1:4

2. 4:1

3. 3:5

4. 2:3

5. 1:3

6. 1:10

7. 1:2

8. 3:2

Answer:

Step-by-step explanation:

[tex]\frac{10}{\sqrt{2}+\sqrt{7}}=\frac{10*(\sqrt{2}-\sqrt{7})}{(\sqrt{2}+\sqrt{7})*(\sqrt{2}-\sqrt{7})}\\\\=\frac{10*(\sqrt{2}-\sqrt{7})}{(\sqrt{2})^{2}-(\sqrt{7})^{2}}\\\\=\frac{10*(\sqrt{2}-\sqrt{7})}{2-7}\\\\=\frac{10*(\sqrt{2}-\sqrt{7})}{-5}\\\\=-2*(\sqrt{2}-\sqrt{7})\\\\= -2\sqrt{2}+2\sqrt{7}[/tex]

Hint: (a + b)(a -b)= a² - b²

(√2+√7)(√2-√7)=(√2)²-(√7²) = 2 - 7 = -5

Solution,

x°=105°( being corresponding angles)

Hope it helps

Good luck on your assignment

Answer:

Step-by-step explanation:

x=105 degrees corresponding angles are equal

Answer:

(-infinity, 1)

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

1. add 7/3x and 1/3x

2. subtract 5/3x because its the lowest number with a variable and you'll get 3/3x = 1

3. divide 3/3 from both sides (3/3) equals 1, so its 1/1 which is 1

4. x=1

Answer:

It's not listed precisely, but basically, it would be 1 foot / 12 inches

Step-by-step explanation:

The key word is "identical." If all students received identical packages, then Dr. Stein could have handed out 30 packages. He has a maximum of 30 notebooks to hand out, so if each package has one notebook, he can hand out 30 packages. Each of those 30 packages will also have 2 pencils and 10 erasers.

ANSWER: There are 30 packages maximum so he can have a maximum of 30 students.

Hope this helps! :)

Please give me brainly

Thankyou!