A slice is made perpendicular to the base of a right rectangular prism, as shown.

What is the area of the resulting two-dimensional cross-section?

168, 280, 140, 20, and 240 are the options given

Answer:

The height the kite is flying above the ground level to the nearest meter is 42m.

Step-by-step explanation:

this is not drown to scale:

  |\

  |  \

x |   \   43m

  |    \

  |___\

         Angle is 72º

sine = opposite / hypotenuse

sin 72 = x / 43

0.9510565 = x / 43

therefore x = 40.9m

Brisa is holding the kite 1.2 m off the ground, we also need to add 1.2 m to our calculated height of the kite. Thus, the answer is  

           40.9 m + 1.2 m = 42.1 m to the nearest meter is 42m.

Answer:

-48

Step-by-step explanation:

order of operations

7.5^12

[tex].916666666666[/tex]

Answer:

Step-by-step explanation:

8x - 9 - 12x + 5 = 8x - 12x - 9 +5

                         = -4x - 4

Add the like terms

Answer:

C

Step-by-step explanation:

if you expand, C is the only option that is equivalent

Answer:

C.  (n^15k^35)^2.

Step-by-step explanation:

(n^6k^14)^5

= (n^6)^5 * k^14)^5

= n^30k^70

= (n^15k^35)^2.

Answer:

1/3

Step-by-step explanation:

12/36

Divide the top and bottom by 12

1/3

Answer:

5. V

6. S

7. V

8. S

9. C

Step-by-step explanation:

Vertical angles: Angles facing each other vertically.

Supplementary angles: Angles that add up to 180 degrees, making a straight line.

Complementary angles: Angles that add up to 90 degrees, making a right angle.

Answer:

36 apples

Step-by-step explanation

Step 1  = he dropped 1/4  and was left with 9  

Finding 1/3 one third of 9 = 3.

Then 9 +3 = 12

Step 2 He parted with 1/2 and was left with 12

12x2=24

Step 3 He parted with 1/3 and was left with 24

= 12+ 12 + 12  = 36    Where 1/3 of 36 = 24

Answer = 36

Answer:

36

Step-by-step explanation:

Carson had x number of apples to start with.

He gave 1/3 to Nathan. Now Carson has (2/3)x apples left.

He gave 1/2 of what was left to Nikki. Now Carson has (1/2)(2/3)x = (2/6)x = (1/3)x apples.

On the way home, he dropped 1/4, so he has 3/4 of the last amount he had, and the number is 9.

(3/4) * (1/3)x = 9

3/12 x = 9

1/4 x = 9

x = 36

Answer: He picked 36 apples.

Check:

Start with 36 apples.

Give 1/3 to Nathan. Now Carson has 24 apples.

Give 1/2 to Nikki. Now Carson has 12 apples.

Drop 1/4. 1/4 of 12 is 3. 12 - 3 = 9.

Hew only had 9 apples left, so 36 is correct.

[tex]\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{9})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{2}) \\\\\\ y-9=\cfrac{3}{2}x-3\implies y=\cfrac{3}{2}x+6[/tex]

Answer:

yes A is a SUBSET of U and U is a SUPERSET of A.

Explanation: use curly braces for the elements.

A is a subset of U since U has the elements {1,2,3,4,5,6,7,8,9}, and A has the elements {1,2,3}

U contains the elements listed in set A, so a is a SUBSET of U

Answer:

Below

Step-by-step explanation:

A is a subset of U because 1,2,3 is in set U.

U is a superset of A as U contains 1,2,3 and other elements.

Solution:

The volume of a container varies jointly with the square of its radius, r, and its height, h

Therefore,

[tex]v \propto r^2 h\\\\v = k \times r^2h -------- eqn\ 1[/tex]

The  container has a height of 10 centimeters, and radius of 6 centimeters, and a volume of 377 cubic  centimeters

Substitute v = 377 and h = 10 and r = 6 in eqn 1

[tex]377 = k \times 6^2 \times 10\\\\377 = k \times 360\\\\k = 1.047 \approx 1.05[/tex]

What is the volume of a container with a radius of 4 centimeters and a height of 4  centimeters?

Substitute k = 1.05 and r = 4 and h = 4 in eqn 1

[tex]v = 1.05 \times 4^2 \times 4\\\\v = 1.05 \times 16 \times 4\\\\v = 67.2[/tex]

Thus volume of a container with a radius of 4 centimeters and a height of 4 centimeters is 67.2 cubic centimeter

The area of the figure is A. 216 cm².

Step-by-step explanation:

Step 1:

To calculate the value of the composite shape we first divide it into shapes that we know.

In this case, the composite figure consists of a rectangle and a triangle attached to it.

If we can calculate the individual areas of the two shapes we should be able to calculate the area of the composite shape.

Step 2:

The triangle has a base length of 8 cm and a height of 12 cm. The area of the triangle [tex]=\frac{1}{2} (b)(h)=\frac{1}{2} (8)(12) = 48.[/tex]

The area of the triangle is 48 cm².

Step 3:

The area of a rectangle is the product of its length and its width.

The given rectangle has a length of 14 cm and a width of 12 cm.

The area of the rectangle [tex]= (l)(w) = (14)(12) = 168.[/tex]

The area of the rectangle is 168 cm².

Step 4:

Now we calculate the area of the entire figure by adding the areas of the triangle and the rectangle.

Area of the figure [tex]=48+168 = 216.[/tex]

So the area of the figure is 216 cm² which is option A.

Answer:

This is incomplete you can edit and report this answer as not the answer you was looking for. 125-70 is 55 stamps among 5 friends this is either 11 stamps each but some have two together so if it is an odd number like 13 or 17 together then you type in T = 17  O=55-17= ? and you have your answer for the other three.

Step-by-step explanation:

Answer:

17.1 kgs

Step-by-step explanation:

There are 52.6 kgs of Rice. 26.3 + 26.3 = 52.6

Take 52.6 and minus 35.5 out of it 52.6 – 35.5 = 17.1

there were 17.1 kgs of rice sold

Answer:

-7

Step-by-step explanation:

8⁷ in the denominator becomes a negative power in the numerator

Answer:

12z -32

Step-by-step explanation:

-4(z+3)-4(5-4z)

Distribute

-4z -12 -20 +16z

Combine like terms

12z -32

Answer:

Mode: 33     Mean: 35.5

Step-by-step explanation:

The mode of a data set is the number that appears most often.

So the mode of this set would be 33, since it appears twice.

The mean of a data set is the average of the numbers.

To find the mean (average), add all eight numbers together, then divide by eight...

31 + 29 + 33 + 37 + 43 + 38 + 33 + 40 = 284

284 / 8 = 35.5

So, the mean of the numbers is 35.5!

Answer:

Atleast 13

Step-by-step explanation: If you divide 200 by 15 you get 13.33333333 so 13 is the answer!

A.) f(4) = -5 + 3(4) = 7

B.) g(-3) = -2(-3)^2 + 5(-3) - 1 = -2(9) - 15 - 1 = -25

C.) f(x) - f(4) = (-5 + 3x) - (-5 + 3(4)) = -5 + 3x + 5 - 12 = 3x - 12

D.) f(x - 4) = -5 + 3(x - 4) = -5 + 3x - 12 = 3x - 17

E.) g(x + 1) = -2(x + 1)^2 + 5(x + 1) - 1 = -2(x^2 + 2x + 1) + 5x + 5 - 1 = -2x^2 - 4x - 2 + 5x + 4 = -2x^2 + x + 2

Answer:

is there options for the answer?

Answer:

The answer is b^1/2

Step-by-step explanation:

Answer:

No, the point (273, 2) does not lie on the circle that is centered at the origin and contains the point (0, -4)

Step-by-step explanation:

The circle centered at the origin that contains the point (0,-4) has equation:

[tex] {x}^{2} + {y}^{2} = 16[/tex]

If the point (273,2) lies on this circle , then it must satisfy this equation:

[tex] {273}^{2} + {2}^{2} = 74533[/tex]

Since

[tex]16 \ne74533[/tex]

The point does not lie on this circle.

Answer:

The equation is, A =30,000 + 1875n.

He sold 9 cars the year he made that amount of money.

Step-by-step explanation:

Before calculating, let's assign letters to certain variables:-

✓ let "A" be used to represent the total amount earned after adding his base salary to the amount he earned as commission per car he sells.

✓ "P" will be used to represent his base salary (a constant = 30,000)

✓ "n" will represent the number of cars sold within a given year.

✓ "B" will be used to represent his commission per car he sells.

Fixing them into a formula, we have:

A = P + n(B)

Since "P" and "B" are constants of 30000 and 1875 respectively, we substitute the letters for their actual amount in the formula:-

A = 30,000 + n(1875)

A = 30,000 + 1875n +This is now the equation that can be used to calculate the number of cars he sold in the year he earned 46,875).

So, since "A" is now $46,875, we substitute accordingly to find the number of cars he sold in the year he earned such amount.

46,875 = 30,000 + 1875b

1875n = 46,875 - 30,000

1875n = 16875

n = 16875/1875

n = 9 cars

Therefore the equation to be used to determine how many cars he sold when he earned $46,875 is:

A = 30,000 + 1875n

He sold 9 cars the year he earned $46,875.

Answer:

see below

Step-by-step explanation:

y=ax^2+bx+c

Let a=0

y=0*x^2+bx+c

y = bx+c

This is the equation of a line.  It is no longer quadratic, but linear.  a cannot equal zero

Answer:

33%

Step-by-step explanation:

(1.20-0.80)

=0.40 dollars

(0.40/1.20)x100

0.33x 100

=33%

Hope this helps and can I get a brainliest if you want to. That would be nice thanks!

Answer:

75 months is 6.25001 calendar years.

Step-by-step explanation:

Answer:1/8

Step-by-step explanation:

To find the unit rate: multiply the numerator by the reciprocal of the denominator.

unit rate =  

1

4

2

3

=  

1

4

×  

3

2

=  

3

8

pounds per gallon

Therefore,  

1

3

the recipe:  

3

8

×  

1

3

=  

1

8

pounds of chocolate

Answer: The tv had dropped 20%

Step-by-step explanation: $160 is 80% of $200. So 100%- 80%= 20%

Its 20%.................................................                                                           .

Answer:

n=16

Step-by-step explanation:

Let's solve your equation step-by-step.

8

9

=

n

18

Step 1: Cross-multiply.

8

9

=

n

18

(8)*(18)=n*(9)

144=9n

Step 2: Flip the equation.

9n=144

Step 3: Divide both sides by 9.

9n

9

=

144

9

n=16

Answer: 16

Step-by-step explanation:

8/9 = ?/18

Let the missing value be c

8/9 = c/18

Cross multiply

9c = 18 x 8

9c = 144

Divide both sides by 9

c = 144/9

c = 16.