Leo made the following container to store his camping gear. This container is the shape of a rectangular prism. It has material covering the outside of all six sides.

Answer:

1 < n

Step-by-step explanation:

3(3 - 4n) + 6n < -2n + 5

9 - 12n + 6n < -2n + 5

9 - 6n < -2n + 5

9 < 4n + 5

4 < 4n

1 < n

I hope this is accurate and helpful. Please let me know if it’s correct! It’s been a while since I’ve done inequalities.

Answer:

68 in^2

Step-by-step explanation:

the shape is a trapezoid

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

It has 4 vertices and edges

If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram

Area of a trapezoid =   x (sum of the lengths of the parallel sides) x height

the dimension of the height is not given. We have to determine the value of the height using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

10² = 6² + height²

100 = 36 + height²

height = 64

the square root of 64 is 8

the height is 8

1/2 x (8 + 9) x 8 = 68in^2

9514 1404 393

Answer:

  E  none of the above

Step-by-step explanation:

"Triples in size" means the growth factor is 3, so we expect to see that as the base of the exponent. That growth factor applies to a period of 6 minutes, or 1/10 hours. The number of 6-minute intervals in t hours is 10t, so we expect to see that as the exponent. The appropriate model could be written ...

  n(t) = 3·3^(10t) . . . . . matches no offered answer choice

Answer:

hhuhhuhhhuhh

Step-by-step explanation:

Answer:

15 mph

Step-by-step explanation:

Before traffic cleared:

distance = 30 miles

average speed = s

time = t

d = st

30 = st

After traffic cleared:

distance = 176 miles

average speed = s + 29

time = 6 - t

d = st

176 = (s + 29)(6 - t)

30 = st

s = 30/t

176 = (30/t + 29)(6 - t)

176t = (30 + 29t)(6 - t)

176t = 180 - 30t + 174t - 29t^2

29t^2 + 32t - 180 = 0

(29t + 90)(t - 2) = 0

t = -90/29 or t = 2

Time must be a positive number, so we discard the solution t = -90/29.

t = 2

30 = st

30 = s * 2

s = 15

Answer: 15 mph

Answer:

6.612175434403215

Step-by-step explanation:

This one is quite easy to solve, depending on your calculator click shift over the log function and then natural log will pull up and then you just put in 744.1

Answer:

cot θ = [tex]\frac{7\sqrt{51} }{51}[/tex]

sin θ = [tex]\frac{\sqrt{51} }{10}[/tex]

csc θ = [tex]\frac{10\sqrt{51} }{51}[/tex]

Step-by-step explanation:

First find the opposite side of angle θ by using the Pythagorean Theorem:

10² - 7² = (opposite side)²

100 - 49 = 51 => opposite side = √51

Use SohCahToa to find the values:

cot θ = adjacent/opposite = 7/√51 = [tex]\frac{7\sqrt{51} }{51}[/tex] (rationalize)

sin θ = opposite/hypotenuse = [tex]\frac{\sqrt{51} }{10}[/tex]

csc θ = hypotenuse/opposite = 10/√51 = [tex]\frac{10\sqrt{51} }{51}[/tex] (rationalize)

Hope this helps!

By the fundamental theorem of algebra, we can write the given quadratic in terms of its roots a and b as

3x ² - 5x + k = 3 (x - a) (x - b)

and upon expanding, we have

3x ² - 5x + k = 3x ² - (a + b) x + ab

Two polynomials are equivalent if their coefficients are equal, so

a + b = 5

ab = k

We're given that |a - b| = 2. If we assume a > b (that is, a is the larger root) then |a - b| = a - b = 2, or b = a - 2. Substitute this for b in the first equation above and solve for a :

a + (a - 2) = 5

2a - 2 = 5

2a = 7

a = 7/2

Solve for b :

b = 7/2 - 2

b = 3/2

Solve for k :

k = 7/2 × 3/2 = 21/4

Answer:

8/10 is greater than 63/100, it is grater because when u change them into a percentage 8/10 is higher

Step-by-step explanation:

Answer:

true :D

8/10 = 80/100 which is greater than 63/100

Answer:

rewrite the whole expression;

X+Y =2

-6x + 2y = 8

divide the 2nd expression by 2 on both sides we get

-3x + y = 4

substract the 1st expression from the newly found 2nd expression

-3x-x + y-y = 8-2

-4x = 6; x= 3/2

y = 2-(3/2) = 1/2

x= 3/2 , y= 1/2

Answer:

I have to know what you need help with, maybe post a picture or type the question next time?

Answer:

4cm

Step-by-step explanation:

Each of the other sides of the regular decagon is (√19/4) cm long, or approximately 1.861 cm to three decimal places.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

A regular decagon is a polygon with ten sides of equal length and ten angles of equal measure.

To find the length of each of the other sides, we can use the fact that a regular decagon can be divided into ten congruent isosceles triangles.

The isosceles triangle can be split into two right triangles by drawing an altitude from the vertex opposite the base to the midpoint of the base.

Let's call the length of one of the equal sides of the isosceles triangle "s", and let's call the length of the altitude "h".

Then we can use the Pythagorean theorem to find the length of the other side:

s² = h² + (s/2)²

We can solve for "h" in terms of "s" as follows:

h² = s² - (s/2)²

h² = (4s²)/4 - s²/4

h² = (15s²)/16

h = (s√15)/4

Since the altitude divides the isosceles triangle into two congruent right triangles, each with a hypotenuse of "s",

We can use the Pythagorean theorem again to find the length of each of the other sides of the regular decagon:

s² = h² + (s/2)²

s² = [(s√15)/4]² + (s/2)²

s² = (15s²)/16 + (s²)/4

s² = (15s² + 4s²)/16

s^2 = (19s²)/16

s = √(19/16) s

s = (√19/4) cm

Therefore,

Each of the other sides of the regular decagon is (√19/4) cm long, or approximately 1.861 cm to three decimal places.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ3

Answer:

[tex]\frac{6}{5}[/tex]

Step-by-step explanation:

Answer:

6/5

Step-by-step explanation:

Its 6/5..

1 = 20%

Please give brainliest

Answer:

Step-by-step explanation:

y = a(x-h)² + k, where (h,k) is the vertex.

vertex is clearly (0,0), so y = ax².

Plug in (3,3)  and solve for a:

3 = a3²

a = ⅓

y = ⅓x²

Answer:

96 ft²

Step-by-step explanation:

Area of triangle + area of square

Area of triangle = (base × height)/2

= 120/2=60

Area of square = 6 × 6=36

60 + 36= 96

Answer:

60

Step-by-step explanation:

if it has a square in the center of the angle it means it is 90 degrees

so a straight line adds up to 180b

90 +30+x=180

x=60

Answer:

number 2 - x=50, y =69

Step-by-step explanation:

Angles in a polygon of a pentagon add up to 540

so 180 +125+98+98 = 429

540 - 429 = 111

now you do x = 50 so

2 times 50 which is 100

then plus 11 which is 111

Answer:

10 times x is 10 x and 10 times -2 is -20 so now we have 10x-20=-20

now we move the 20 over so that 10x=0 so now we can move the ten over so now we just have x=0

Given:

Consider the below figure attached with this question.

The given data set is:

66, 65, 66, 70, 66, 68, 63, 60, 66, 68, 63, 65

To find:

The correct box plot for the given data set.

Solution:

We have,

66, 65, 66, 70, 66, 68, 63, 60, 66, 68, 63, 65

Arrange the data set in ascending order.

60, 63, 63, 65, 65, 66, 66, 66, 66, 68, 68, 70

Divide the data set in 4 equal parts by using the parenthesis.

(60, 63, 63), (65, 65, 66), (66, 66, 66), (68, 68, 70)

Minimum value = 60

First quartile: [tex]Q_1=\dfrac{63+65}{2}[/tex]

[tex]Q_1=64[/tex]

Median: [tex]M=\dfrac{66+66}{2}[/tex]

[tex]M=66[/tex]

Third quartile: [tex]Q_3=\dfrac{66+68}{2}[/tex]

[tex]Q_3=67[/tex]

Maximum value = 70

It means the end points of the box plot are 60 and 70. The box lies between 64 and 67. Line inside the box at 66.

The box plot in option A is the only box plot that satisfy the above conditions.

Therefore, the correct option is A.

Answer:

(3/10)x or if you didn’t undertsand that

[tex]\frac{3}{10}x\\[/tex]

Step-by-step explanation:

So multiplynormally, if theres an x in the numerator or denominator , it doesn’t matter since the variable is going to end up in the middle. Multiply it normally, simplify and then you would have (3/10)x

Answer:

129 degrees

Step-by-step explanation:

When we add a right angle (90 degrees) to an acute 39 degree angle we get 129 degrees.

azb = 129 degrees

The area of a circle with a radius of r is [tex]pi r^2[/tex]

Answer:

y=55+15x

Step-by-step explanation:

Answer:

The answer is (C) y = 55 + 15 x

Step-by-step explanation:

This is because the cost of the plan must be added to the cost of the lines to find the total cost. The equation for option (C) correctly depicts that y the plan, needs to be added to x the lines. This equation correctly shows the relationship between the two numbers.

Answer:

44°

Step-by-step explanation:

180-30-14=136

180-136

44

Answer:

oh thats easy thats 7

Step-by-step explanation:

i guess

Answer:

Step-by-step explanation:

Answer:

24 is awnser

Step-by-step explanation:

Pls mark me as brainliest

Answer:

radius of semi circle is 16mm.

diameter of semi circle is 32mm.

perimeter of triangle=sum of all sides.

perimeter of triangle = 20mm+20mm+32mm

perimeter of triangle =72mm

perimeter of semi circle=pi×r

perimeter of semicircle = 3.14×16mm

perimeter of semicircle =50.24mm

perimeter of the figure= 72mm+50.24mm=122.24mm

Answer:

(x+8)^2

Step-by-step explanation:

x^2 +16x+64

What two numbers multiply to 64 and add to 16

8*8 = 64

8+8 = 16

(x+8)(x+8)

(x+8)^2