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
chubhunter [2.5K]
2 years ago
9

If Melinda wanted to build a patio in her backyard that was 14 feet long, 6 feet wide

Mathematics
1 answer:
JulsSmile [24]2 years ago
6 0

The volume of aggregate that she needs to build the patio is 13.18 ft^3

<h3>How many cubic feet of aggregate would she need to build the walkway?</h3>

We know that the backyard is 14ft long, 6 feet wide and 4 inches deep.

Rememeber that:

1ft = 12 in

Then:

4 in = (4/12) ft = (1/3) ft

Then the volume of the backyard is:

V = (14ft)*(6ft)*(1/3 ft) = 28ft^3

Now we know that we have a mix of 4 parts aggregate to 4.5 parts loose cement that need to fill these 28 cubic feet.

Note that:

4 + 4.5 = 8.5

How many times we have 8.5 in 28?

28/8.5 = 3.294

Now for each of these we have 4 parts of aggregate, then the volume of aggregate that we need is:

4*3.294 ft^3 = 13.18 ft^3

The volume of aggregate that she needs to build the patio is 13.18 ft^3

If you want to learn more about volumes:

brainly.com/question/1972490

#SPJ1

You might be interested in
I need graph help plz ​
Likurg_2 [28]

Answer:

Step-by-step explanation:

Part A

x-intercepts of the graph → x = 0, 6

Maximum value of the graph → f(x) = 120

Part B

Increasing in the interval → 0 ≤ x ≤ 3

Decreasing in the interval → 3 < x ≤ 6

As the price of goods increase in the interval [0, 3], profit increases.

But in the price interval of (3, 6] profit of the company decreases.

Part C

Average rate of change of a function 'f' in the interval of x = a and x = b is given by,

Average rate of change = \frac{f(b)-f(a)}{b-a}

Therefore, average rate of change of the function in the interval x = 1 and x = 3 will be,

Average rate of change = \frac{f(3)-f(1)}{3-1}

                                         = \frac{120-60}{3-1}

                                         = 30

6 0
3 years ago
To make cupcakes Leah uses 1/2 cup of chocolate chips for evry 1 1/3 cups of batter if Leah uses 3/4 cups of chocolate chips how
Kisachek [45]

Answer:

2

Step-by-step explanation:

Leah uses 1/4 cup of chocolate chips for 2/3 cups of batter, so if Leah uses 3/4 cup of chocolate chips, she should use 2 cups of batter.

3 0
2 years ago
Using the Law of Cosines, in triangle DEF, if e=18yd, d=10yd, f=22yd, find measurement of angle D
Ivahew [28]
Check the picture below.

\bf \textit{Law of Cosines}\\ \quad \\&#10;c^2 = {{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)\implies &#10;c = \sqrt{{{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)}&#10;\\\\\\&#10;\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}=cos(C)\implies cos^{-1}\left(\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}\right)=\measuredangle C\\\\&#10;-------------------------------\\\\&#10;\begin{cases}&#10;d=10\\&#10;e=18\\&#10;f=22&#10;\end{cases}\implies cos^{-1}\left(\cfrac{{{ 18}}^2+{{ 22}}^2-10^2}{2(18)(22)}\right)=\measuredangle D

\bf \implies cos^{-1}\left(0.893\overline{93}\right)=\measuredangle D\implies 26.63^o\approx \measuredangle D

7 0
3 years ago
24 students brought her permission slips to attend the class field trip is this represent at 8:10 to the class how many students
OlgaM077 [116]

Answer:

30 students

Step-by-step explanation:

24 over 80 is equal to x over 100

cross multiply and you get

80x =240

divide 80 on both sides

you get 3

add an extra sero

4 0
3 years ago
Mrs. Harrison borrows $600 to pay for a new phone. the simple intrest on the loan is 9% for one year
laila [671]

Answer:

$600

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • 5(x-10)=30-15x<br> Ox=1<br> Ox=4<br> Ox=5<br> Ox=8
    12·1 answer
  • How many vertices has a closed cone? a. 1 b. 2 c. 3 d. 4
    12·1 answer
  • The length of a rectangle is 5 centimeters less then twice it's width. The perimeter of the rectangle is 26 cm. What are the dim
    10·1 answer
  • Exclain why 0.32 with a line above it is greater than 0.32
    9·1 answer
  • What is 12 divided by 22
    11·2 answers
  • 2. Dilute hydrochloric acid reacts with zinc to form zinc chloride and hydrogen.
    8·1 answer
  • Which expression is equivalent to (8x - 1) (4x + 3) ?
    11·1 answer
  • Can you plz tell me what is -1-2.5=
    8·2 answers
  • Freddy’s savings account went from $520 to $321 after he purchased a new bike. What was the percent decrease? *
    10·1 answer
  • Pleasseeeee help !!!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!