Solve each of the following problems. Draw an illustration of each solid figure described in the problem, then write your solution and final answer on a piece of paper.

1. The base of a pyramidal tent is a square. If the tent is 2 meters long and 1 ½ meters high. How many cubic meters of space can it hold inside?

2. A cone hat has a radius of 1.3 dm and a height 4 dm. What is its volume?

3. Find the volume of a sphere whose diameter is 234 m.

4. How much space is occupied by a cylindrical capsule with a radius of 10 m and a height of 30 m.

Answer:

∠X = 48°

∠Y = 96°

∠Z = 36°

Step-by-step explanation:

   All angles of a triangle are equal to 180.

(3.2n) + (6.4n) + (2.4n) = 180

12n = 180

n = 15

   Now, we will solve for each angle.

∠X = 48°

3.2n

3.2(15)

48°

∠Y = 96°

6.4n

6.4(15)

96°

∠Z = 36°

2.4n

2.4(15)

36°

If the answers I provided are not in your drop-down menus, let me know.

Answer:

n = r - 2.5

Step-by-step explanation:

The discount Khalid is giving is $2.5 off, so the equation represents the neighbors' price equals the regular price minus 2.5.

Answer:i think that means Harry is equal to steves age plus 3 years

Step-by-step explanation:

Answer:

per day: approx. $2,327,747.3

per hour: approx. $96989.5

Step-by-step explanation:

(assuming the amount of money you make per month is $69,832,420)

Divide the given amount by 30 (or 31/28 if the specific month is given) for the amount of money made per day, since there are about 30 days in a month. Ans: $2,327,747.3 (cor. to the nearest tenth digit)

Further divide the amount by 24, since there are 24 hours in a day. Ans: $96989.5 (cor. to the nearest tenth digit)

Answer:

answer= 9x2 + 36x + 30

Step-by-step explanation:

cuz it is lol

Answer:

4(4x+3y)

Step-by-step explanation:

1 Find the Greatest Common Factor (GCF).

GCF = 44

2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

4(4/16x+4/12y)

3 Simplify each term in parentheses.

4(4x+3y)

Answer:

$115.5

Step-by-step explanation:

11*6=66

66*1.75=115.5

Answer:

3.75

Step-by-step explanation:

3/4=0.75

5x0.75

=3.75

Answer:

3.75

Step-by-step explanation:

its obvious duh

Answer:

9

Step-by-step explanation:

9/1 x 1/2 = 9/2

Answer:

see below

Step-by-step explanation:

9/2= ?x1/2

As 9/2 is on the other side of the equal sign and you want to combine like terms, you divide 9/2 by 1/2

9/2 x 2/1

(Flip the second term)

Cancel out the 2's

9/1 x 1/1

This equals 9

9/2= 9 x 1/2

Answer: The surface area is 21,274.4 square feet.

Step-by-step explanation:

The total surface area is 4 (0.5bh). Although you would multiply it by 4 because there 4 triangular faces, b is the base & h is the height. It’d change to A = 4(0.5) (116 ft) (91.7 ft) so your answer ends up as A = 21274.4 square feet.

Answer:

big bird driving slow

Step-by-step explanation:

like 4mph Sorry if its wrong! ~Bread

Answer:

72% because you add 36 + 14 to get 50 and then you divide 36 by 50 to get 72%

I hope it's right

Answer:

72%

Step-by-step explanation:

had the same ixl

Answer:

jesse's mistake is in Step 1

Step-by-step explanation:

She had to subtract 9 from 11, which would have got her 2, for the part after the equal sign. However, she put 3, and 11-9 is not 3, so she is wrong.

Hope this helps!

Answer:

2(5a+3b)+5a+2b

=10a+6b+5a+2b

=15a+8b

6y+2(3x+5)+2y+3

=6y+6x+10+2y+3

=8y+6x+13

8r+8r^2+6r^2+2r+r

=9r+14r^2

Answer:

1,530[tex]cm^{3}[/tex]

Step-by-step explanation:

The formula to find a the volume of a rectangular prism :

Volume (V) = length x height x width

Your image has two rectangular prism put together

First rectangular prism (on the left):

Volume (V) = length x height x width

length = 10cm

width = 9cm

height = 9cm

Volume (V) = 10cm x 9cm x 9cm

Volume (V) = 810[tex]cm^{2}[/tex]

Second rectangular prism (on the right):

Volume (V) = length x height x width

length = 18cm

width = 10cm

height = 4cm

Volume (V) = 18cm x 10cm x 4cm

Volume (V) = 720[tex]cm^{2}[/tex]

Now to get the total of the figure.

Add both the first and second rectangular prism volume:

Volume (V) = 810[tex]cm^{2}[/tex]

Volume (V) = 720[tex]cm^{2}[/tex]

720 + 810 = 1530

Volume of the left cuboid

Volume of the right cuboid

Total

The correct answers to the given graph/number line:  " x > -6 " ;

are: Answer choices:  [A]: ​" 3(4 − x) < 30​ " ;
                             and:   [B]: " [tex]\frac{2}{3}[/tex] x + 9 > 5 " .
______________

Step-by-step explanation:
______________

Note:  The "given graph" is a "number line" that represents:
 " x > - 6 " .  

The "negative 6"; that is: "-6" is "circled"; which means "does not equal: ("-6");  there is a line, or geometrically speaking, a "ray" ; that continues to the side going forward to all value greater the "-6" .

_____

The question asks:
What inequalities describe the given {graph—in our case, number line.}.

So, there are 4 (four) answer choices.
We are to determine which Answer choice(s) are equal to:
      " x > - 6 " .
_____

Choice [A]:  " 3(4 − x) < 30 " ;
To simplify:
First, let us divide each side of this 'inequality; by "3":
       " [3(4 − x)] / 3 < [30/3] " to get:  " 4 − x  < 10 " ;
_____
We can multiply each side of this inequality by "-1" ;
 " -1(4 − x) < 10(-1) " ;

Note:  - 1(x − y) = y − x ;

and when each side of an Inequality, specifically, is multiplied or divided by a 'negative number'; we change the 'direction' of the inequality ;

So we simplify our inequality:
" x − 4 > -10 " ;  Add "4" to both sides of this inequality:

" x − 4 + 4 > -10 + 4 " ;  to get:  " x > -6 " ;  which is a correct answer.
_____
Choice: [B]:  " [tex]\frac{2}{3}[/tex] x + 9 > 5 " ;  To simplify:
Subtract "9" from each side:
  " [tex]\frac{2}{3}[/tex] x + 9 − 9 > 5 − 9 " ; to get:  " [tex]\frac{2}{3}[/tex] x > -4 ";  
Now, multiply the entire inequality by "3";
⇒  3*[[tex]\frac{2}{3}[/tex] x] > 3*(-4) ";  
to get:  " 2x > -12 ";  Now, divide Each side by "2" :
 " 2x /2 > -12 / 2 ";  to get:  " x > -6 " ; which is a correct answer!
_____
Choice [C]:  " -2(9 − x) < -6 " ; To simplify: Divide each side by "-2" ;

→ " [-2(9 − x)] /-2] < -6/-2 " ;
Note: When multiplying and dividing both sides of an 'inequality' by a 'negative number; the "sign/direction" of the inequality changes.

 → to get:  " 9 − x > 3 "; Now, multiply  each side by "(-1)";
→ " -1(9 − x) > (3*-1); Note, we are multiplying by a negative number, so we shall reverse the direction/sign of the inequality.  
Also: Note:  " -(x − y) = y − x) " ;  
→  So, we can simplify:
    " x − 9 < -3 " ;
Now, add "9" to each side:  
" x − 9 + 9 < -3 + 9 "; to get:  " x < -6 " ; which is not a correct answer.
_____
Choice: [D]: " 2x − 5 > 7 ";  Add "5" to each side of the inequality:
" 2x − 5 + 5 > 7 + 5 " ;  to get:  
   2x > 12 ;  Now divide each side of the inequality by "2" ;
       to isolate "x" on one side of the equation; & to solve for "x" ;
   2x / 2 > 12/2 ;  
   to get:  "x > 6 " ; which is not a correct answer.
______________
The correct answers to the given graph/number line:  " x > -6 " ;

are: Answer choices:  [A]: ​" 3(4 − x) < 30​ " ;
                             and:  [B]: " [tex]\frac{2}{3}[/tex] x + 9 > 5 " .

Hope this is helpful.  Best wishes to you in your academic endeavors!
______________

Answer:

The mean is the most accurate as it shows the average of television sets

Another possible one is the mode, it shows the most frequent one

Answer: Mode

Step-by-step explanation: You can see that the number 4 appears a lot. Mode finds the most frequesnt value.

Answer:

D

Step-by-step explanation:

Options A & B are multiplied by improper fractions. Therefore,

54 × (5/3) > 54 not < 54

28 × (3/2) > 28 not < 28

Option C should be 49 × (3/7) < 49 not > 49

Whole numbers multiplied by fractions should be smaller.

Hence, option D is the right answer.

Note: Try multiplying like this

(54×5)/3 _ 54

(28×3)/2 _ 28

(49×3)/7 _ 49

(140×2)/5 _ 140

Answer:

d

Step-by-step explanation:

Answer:

49/12 4 1/12

Step-by-step explanation:

Step 1: 7/4+7/3

4×3=12

Step 2:

3 ×7=21

4×7=28

Step 3:

21/12+28/12

21 +28=49

49/12

Step 4:

Simplify

49/12= 4 1/12

Answer:

Step-by-step 49/12 4 1/12Step-by-step explanation:Step 1: 7/4+7/34×3=12Step 2: 3 ×7=214×7=28Step 3: 21/12+28/1221 +28=4949/12Step 4: Simplify49/12= 4 1/12

Answer:

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h. Hence, to find the area of a tri-sided polygon, we have to know the base (b) and height (h) of it. It is applicable to all types of triangles, whether it is scalene, isosceles or equilateral. To be noted, the base and height of the triangle are perpendicular to each other. The unit of area is measured in square units (m2, cm2).

Step-by-step explanation:

hope this helps if not let me know

Answer:

80 cm

Step-by-step explanation:

1 cm = 10 mm

8 x 10 =80

Answer:

likely

Step-by-step explanation:

the moon circles the world (i think) meaning it will show to at least one side of earth unless there is a very rare thing where it either crashes into earth or goes off somewhere... but that's very unlikely :)

Answer:

1232 m^2.

Step-by-step explanation:

The net consists of 2 triangles and 3 rectangles.

Area of each triangle = 1/2 * 24*7 .

Area of 1 rectangle =  25 * 19.

The other 2 have areas 24*19 and 7 * 19.

Therefore the surface area of the prism

=  2 * 1/2 * 24 * 7 + 25*19 + 24*19 + 7*19

= 1232 m^2.

HOPE THIS HELPS:)