1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pishuonlain [190]
3 years ago
9

Martina estimates that the lateral surface area of a rectangular prism with the length of 13.2 feet, a width of 6 feet, and a he

ight of 8 feet is about 304 square feet. is her estimate reasonable? explain your reasoning.
Mathematics
1 answer:
exis [7]3 years ago
8 0
To determine the lateral surface area of the rectangular prism, the equation would be, 
                        Lateral area = 2 x (HxL + HxW)
where H is height, L is length, and W is width. Substituting,
                    lateral area = 2 x (8x13.2 + 8x6) = 307.2 ft²
Martina's estimation is quite near to the calculated value which means that her estimation should have been really reasonable. 
You might be interested in
What is the unit rate of 180 miles in 3 hours
Tems11 [23]
The unit rate would be:

180 mi/3h

=60 mi/h

Therefore the unit rate would be 60 miles per hour
4 0
3 years ago
Read 2 more answers
What is the solution of the system of equations?<br> 4x-8y=0<br> 5x+2y=6
katrin [286]

Answer:

x=1,

y=1/2

Step-by-step explanation:

    4x-8y=0

 so     4x=8y

            x=2y

   5x+2y=6

because x=2y

so:

  5x+x=6

      6x=6

         x=1;

then

        x=2y

        1=2y

       y=1/2

7 0
4 years ago
Using the Fundamental Theorem of Algebra. Complete the following exercises. Show your work.
svp [43]

Answer:

A) - Quartic polynomial

- has four roots

- roots are; f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)

B) - Cubic polynomial

- has 3 roots

- roots are; f(x) = (x - 5)²(x + 5)

Step-by-step explanation:

A) f(x) = x⁴ + 21x² − 100

The highest power in this polynomial is 4 and thus, it is called a quartic polynomial. This means that it will have 4 roots.

Factorizing this polynomial gives;

f(x) = (x² + 25)(x² - 4)

Equating to zero, we can find the roots. Thus, the roots are;

x = 5i

x = -5i

x = 2

x = -2

Thus, the completely factorized polynomial is;

f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)

B) f(x) = x³ − 5x² − 25x + 125

The highest power in this polynomial is 3. It is therefore a cubic polynomial with 3 roots.

Factorizing this polynomial gives;

f(x) = (x² - 25)(x - 5)

Equating to zero and Factorizing gives;

x = 5

x = -5

x = 5

Thus, completely factorized with the roots is;

f(x) = (x - 5)²(x + 5)

4 0
3 years ago
Calculate the area of triangle ABC with altitude, CD, given
defon

Answer:

37.5 square units

Step-by-step explanation:

Given:

A(-6,-4), B(6,5), C(-1,6), and D(2, 2), where CD is the altitude if ∆ABC

Required:

Area of ∆ABC

SOLUTION:

Area of a ∆ABC =½*AB*CD

✍️AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{6 -(-6))^2 + (5 -(-4))^2

AB = \sqrt{12^2 + 9^2}

AB = \sqrt{144 + 81}

AB = \sqrt{225} = 15

✍️CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{2 -(-1))^2 + (2 - 6)^2

CD = \sqrt{(3)^2 + (-4)^2}

CD = \sqrt{9 + 16}

CD = \sqrt{25} = 5

✍️Area of a ∆ABC =½*AB*CD

= ½*15*5

✅ Area = 37.5 square units

5 0
3 years ago
A grocery store bought milk for $2.80 $⁢2.80 per half gallon and stored it in two refrigerators. During the night, one refrigera
harkovskaia [24]

Let x represent the number of half-gallons purchased by the store. Then x-13 is the number sold, and 2.80x is the store's cost. The revenue is 4.06(x-13) and the difference between that and cost is the profit.

... 4.06(x -13) -2.80x = 63.14

... 1.26x - 52.78 = 63.14 . .  . . eliminate parentheses, collect terms

... 1.26x = 115.92 . . . . . . . . . . add 52.78

... x = 115.92/1.26 = 92 . . . . . divide by the coefficient of x

The store purchased 92 half-gallons of milk.

5 0
3 years ago
Other questions:
  • HELP PLEASE. correct answers only
    13·1 answer
  • College Board
    13·1 answer
  • You have exactly $120 to spend on a new outfit. If your state has 8% sales tax, what is the highest pre-price tax you can pay wi
    12·1 answer
  • A rectangle table is two times as long as it is wide. If the area is 50ft^2. Find the length and width of the table.
    13·1 answer
  • What is the answer to this problem
    8·1 answer
  • Which list of elements is arranged in order of increasing atomic number?
    7·1 answer
  • Need help asap
    15·1 answer
  • If f(x) = 10 + 2x and g(x) = 6x + 5, then (f+ g)(x) =
    9·2 answers
  • ANSWER THE QUESTION FOR BRAINLIEST<br> ANSWER THE QUESTION FOR BRAINLIEST
    7·2 answers
  • Answer<br> this now plsz
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!