Instructions to the teacher:
You can give partial credit for partial solutions. The total is 36 points, so divide the student's score by 36 and
multiply by 100 to get a percent score. For example, if the student scores 30, divide 30 = 36 to get 0.8333. The
percent score is 83%.
Question Max. points Student score
1
2 points
2 1 point
3
4 points
Question Max. points Student score
8 1 point
9 3 points
10
3 points
11 4 points
12
3 points
13
3 points
TOTAL 36 points
36
4
4 points
5
2 points
6
2 points
4 points
7

Given:

The volume of a cube-shaped box is [tex]\dfrac{1}{8}[/tex] cubic meter.

To find:

The perimeter of each of its faces.

Solution:

Let "a" be the side length of the cube shaped box. Then the volume of the box is:

[tex]V=(side)^3[/tex]

[tex]V=a^3[/tex]

It is given that the volume of a cube-shaped box is [tex]\dfrac{1}{8}[/tex]  cubic meter.

[tex]a^3=\dfrac{1}{8}[/tex]

Taking cube root on both sides, we get

[tex]a=\dfrac{1}{2}[/tex]

Now, the perimeter of each face of a cube is:

[tex]P=4a[/tex]

Where, a is the side length of the cube.

Putting [tex]a=\dfrac{1}{2}[/tex], we get

[tex]P=4\times \dfrac{1}{2}[/tex]

[tex]P=2[/tex]

Therefore, the perimeter of each face of a cube-shaped box is 2 meters.

Answer: It's 2 meters

Answer:

A. The area is [tex]78.54m^2[/tex]

B. She needs to cover 1661.9 square feet of tiles for the base of the swimming pool

Step-by-step explanation:

Question A:

Let us assume that the leash is pegged to the ground using a stake. as a result, the dog can move around the stake. The path that the motion of the dog would trace is a circle, and the radius of the circle will be the length of the leash.

Since we know this, we can easily find the area of the circle using [tex]\pi r^2[/tex]

Area of the circle = [tex]\pi \times 5 \times 5 = 78.54m^2[/tex]

Question B

Dulce wants to cover the whole surface area of the floor of the circular swimming pool with tiles.

We already know that the swimming pool is circular, hence, the surface area of the base of the swimming pool will be the same as the area of a circle, with the same radius.

The area of the circle can be calculated using [tex]\pi r^2[/tex]

Area of circle = [tex]\pi \times 23 \times 23 = 1661.9ft^2[/tex]

Answer:

bob=4

tim=6

john=4x6=24

stephaine:24

jimmy=4

sid=1296

Step-by-step explanation:

so final answer 1358

Answer:

2x + 3x + 5x = 180

10x = 180

x = 18

2x = 36, 3x = 54, 5x = 90

They add up to 180 (definition of sum of angles of a triangle.)

Step-by-step explanation:

#g o o g l e

Answer: 1

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

One investor should make ABOUT $28714.29 while the other will make about $38285.71

Step-by-step explanation:

67000 x 3/7 =28714.285...

67000 x 4/7 = 38285.714....

Answer:

i think base. i might be wrong.

Step-by-step explanation:

Answer:

Its period................

Answer:

complementary angle

Step-by-step explanation:

hope this helps u

Answer:

x = 103

Step-by-step explanation:

In my opinion, because x and 77 are the supplementary angles, so 180-77 = x or x+77=180. The answer should be 103......even though it's not in the options (I'm sorry).

Answer:103 degrees

Step-by-step explanation:

Straight line equals 180 degrees

180 degrees minus 77 degrees = 103 degrees

Answer:

77

Step-by-step explanation:

3x^2-y^1

3(-5)^2-(-2)^1

3(25)-(-2)

75+2

77

If this helps please mark as brainliest

Answer:

A = 148.92 sq in

Step-by-step explanation:

A = bh/2

A = 20.4(14.6) ÷ 2

A = 297.84 ÷ 2

A = 148.92 sq in

Answer:

A(b) = 145,34 m²

Step-by-step explanation:

Area of the square of side l = 26 m    A(s) = l²      A(s) = (26)²

A(s) = 676 m²

Areaof the circle of radius r = 13  A(c) = π*(r)²  A(c) = π*(13)²

A(c) = 169*π  m²

Then the area outside the circle and inside the square  A(b), is the difference between the area of the square minus the area of the circle, that is:

A(b) = A(s)  -  A(c)  =  676  - 169*π    m²

A(b) = 676  -  530,66  m²

A(b) = 145,34 m²

Answer:

Option (3)

Step-by-step explanation:

"If two triangles are similar, their corresponding sides are proportional."

We will check each proportionality ratio given in the options for the given property,

Option (1),

[tex]\frac{QB}{DM}=\frac{DF}{QL}=\frac{LB}{MF}[/tex]

[tex]\frac{3.5}{2}=\frac{5}{8.75}=\frac{10.5}{6}[/tex]

[tex]\frac{7}{4}=\frac{4}{7}=\frac{7}{4}[/tex]

But [tex]\frac{7}{4}\neq \frac{4}{7}[/tex].

Therefore, this option is not the answer.

Option (2),

[tex]\frac{FM}{LB}=\frac{BQ}{MD}=\frac{QL}{DF}[/tex]

[tex]\frac{6}{10.5}=\frac{3.5}{2}=\frac{8.75}{5}[/tex]

[tex]\frac{4}{7}=\frac{7}{4}=\frac{7}{4}[/tex]

But [tex]\frac{4}{7}\neq \frac{7}{4}[/tex],

Therefore, this option is not the option.

Option (3),

[tex]\frac{BQ}{MD}=\frac{QL}{DF}=\frac{BL}{MF}[/tex]

[tex]\frac{3.5}{2}=\frac{8.75}{5}=\frac{10.5}{6}[/tex]

[tex]\frac{7}{4}=\frac{7}{4}=\frac{7}{4}[/tex]

Therefore, this option is the answer.

Option (4),

[tex]\frac{6}{10.5}=\frac{2}{3.5}=\frac{5}{10.5}[/tex]

[tex]\frac{4}{7}=\frac{4}{7}=\frac{10}{21}[/tex]

But, [tex]\frac{4}{7}\neq \frac{10}{21}[/tex]

Therefore, this is not the correct option.

Question:

A fly is standing on a boulder which is rolling down a hill. The forward torque the fly exerts on the boulder when it has rolled 'x' meters, in Newton meters is given by

[tex]\tau(x) = \dfrac{2}{1,000} \cdot sin \left(\dfrac{2 \cdot \pi \cdot (x + 0.2)}{4} \right )[/tex]

Answer:

y = 0

Step-by-step explanation:

The general form of the sine function is presented as follows;

y = A·sin[B·(x - C)] + D

Where;

A = The amplitude

C = The horizontal shift

D = The vertical shift above the generic midline of y = 0 = Constant

By comparison with the general equation for torque, we have that the constant D = 0, therefore, the vertical shift = 0, and the midline of the the given function = The midline of the generic sine function which is y = 0.

Answer:

1 1/3 or 4/3

Step-by-step explanation:

7 10/12 - 6 6/12 = 1 4/12

simplify.

1 1/3

Answer:

4/3 or 1 and 1/3

Step-by-step explanation:

First we need to make the fractions normal. We multiply 7 times 6 to get 42, then add 42 to 5 to get 47/6. Then we multiply 6 times 2 to get 12, then add 1 to that to get 13/2. Then we multiply both the 13 and the 2 by 3 to get 39/6. Then subtract 39 from 47, this gives us 8/6, we can then simplify this to get 4/3 or 1 and 1/3.

Answer:

option 1 n<4

Step-by-step explanation:

Answer:

the packers fan is right, it's option 1: n<4

Step-by-step explanation:

Answer:

n

Step-by-step explanation:

Answer:

3,799.4in³

Step-by-step explanation:

Find the diagram attached;

Volume of the cylinder = πr²h

From the given figure;

radius r = 11in

height = 10in

Substitute

V = π(11)²((10)

V = 3.14 * 121 * 10

V = 31.4*121

V = 3,799.4 cubic inches

Hence the volume of the cylinder is 3,799.4in³

Answer:

s = 33/8 or 4 1/8

Step-by-step explanation:

find 'k', constant of proportionality first:

8 = 3k

k = 8/3

11 = 8/3s

s = 11/1 ÷ 8/3

s = 11/1 x 3/8

s = 33/8 or 4 1/8

Answer:

$3.66

Step-by-step explanation:

I divided 33 by 9

Answer:

Step-by-step explanation:

it becomes lighter  :P   or maybe you could say  "bouncier"   :P  

Answer:

It decreaases

Step-by-step explanation:

If the gravity of a planet decreases, there is less pull to the center of said planet, making the object weigh less.

Answer:$36.40

Step-by-step explanation

16 ounces in 1 pound

0.65 x 16 = $10.40

Peanuts

0.65 x 8 = $5.2 (you do this to get the extra 8 ounces)

$10.40 + $5.2 = $15.6

Pecans

$10.40 + $10.40 = 20.8

Total

$15.6 + 20.8 = $36.40

Answer:

m

Step-by-step explanation: