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
mel-nik [20]
3 years ago
13

Kirima is building a wall for her snow fort. She first makes a firm base out of snow, and then piles uniformly sized blocks of s

now in a brick-like pattern. She has a maximum height for this wall in mind, and she wants to figure out how many blocks can be stacked vertically in her wall while remaining below this maximum. So, she constructs the expression 0.4x + 0.6 to measure the height of her wall, where all constants represent measurements in meters. Which of the following statements are true? Select all that apply. 0.4 represents the height of the wall. 0.4 represents the height of the base. 0.4 represents the height of each block. 0.6 represents the height of the wall. 0.6 represents the height of the base. 0.6 represents the height of each block.
Mathematics
1 answer:
makkiz [27]3 years ago
7 0

Answer:

The correct options are;

0.4 represents the height of each block

0.6 represents the height of the base

Step-by-step explanation:

The given information are;

The activity Kirima is engaged in = Building a wall

The process by which she is building the wall includes

1) Construction of a base on the floor

2) Piling blocks of uniform height to form the wall

3) Estimating the height of the wall she is constructing with the expression 0.4·x + 0.6 where the constants which are 0.4 and 0.6 are in meters;

From her procedure, we have the constants, which are the values that do not change as follows;

1) The firm base

2) The uniformly sized blocks

Of the two constants, the one that consists of multiple items is the uniform sized blocks as they are laid in brick pattern

There is only one firm base

Therefore, the constant that has a variable is the uniform sized blocks

Which gives in the expression 0.4·x + 0.6, we have;

0.4 = The dimension of the uniform sized blocks

∴ 0.6 = The dimension of the firm base.

You might be interested in
There are 15 girls and 25 boys in a science club what percent of the members were girls
otez555 [7]
   15      /      40             =    .375
total #      total #
of girls      of students

.375 = 37.5%

15/40 as a fraction ---> simplify ---> 3/8
3 0
3 years ago
Karen has 10 cups of apple juice she uses 2/3 of it to make fruit punch
Sveta_85 [38]

Answer:

3.33 or 3

Step-by-step explanation:

10 divided by 3 = 3.33 (it goes on) Or maybe you can't pour a third of a cup so maybe 3 or 4.

7 0
3 years ago
Pls show full working out
sweet-ann [11.9K]

Answer:

  • Question 1a. i) x=1.8m

  • Question 1a. ii)   Volume=27.6m^3

  • Question 1b) Volume=65.9m^3

Explanation:

<u><em>Question 1 a. i) Find the value of x.</em></u>

         tan(\theta )=\dfrac{opposite\text{ }leg}{adjacent\text{ }leg}

For the smalll triangle you can write:

        tan(\theta )=\dfrac{x}{1m}

For tthe big triangle:

      tan(\theta )=\dfrac{x+2.7m}{2.5m}

Substitute:

        \dfrac{x}{1m}=\dfrac{x+2.7m}{2.5m}

Solve for x:

        2.5x=x+2.7m\\\\2.5x-x=2.7m\\\\1.5x=2.7m\\\\x=2.7m/1.5\\\\x=1.8m

<u><em>Question 1a ii) Find the volume of the frustrum</em></u>

  • Find the volume of a cone with height = 2.7m + 1.8m = 4.5m, and radius = 2.5m

Formula:

         Volume=(1/3)\pi \times radius^2\times height

Substitute:

         Volume=(1/3)\pi \times (2.5m)^2\times 4.5m=9.375\pi m^3

  • Find the volume of a cone with heigth = 1.8m and radius = 1m

        Volume=(1/3)\pi \times (1m)^2\times 1.8m=0.6\pi m^3

  • Subtract the volume of the small cone from the volume of the big cone

        Volume\text{ }of\text{ }frustrum=9.375\pi m^3-0.6\pi m^3=8.775\pi m^3\approx 27.6m^3

<u><em>Question 1b. Calculate the volume of the bin</em></u>

<u>i) Upper frustrum</u>

This is the same frustrum from the equation of above, thus ist volume is 27.6m³.

<u>ii) Lower frustrum</u>

            \dfrac{x}{2.0m}=\dfrac{x+2.4m}{2.5m}

           2.5x=2(x+2.4m)\\\\2.5x=2x+4.8m\\\\0.5x=4.8m\\\\x=9.6m

        Volume=(1/3)\pi \times (2.5m)^2\times (9.6m+2.4m)-(2.0m)^2\times (9.6m)

       Volume=38.3m^3

<u>iii) Add the volume of the two frustrums</u>

  • Volume=27.6m^3+38.3m^3=65.9m^3

6 0
3 years ago
Can anyone plz help me asap with Part B and C.?
creativ13 [48]

Answer:

Please post a clearer screenshot...

Step-by-step explanation:

5 0
2 years ago
If (m, 2) is on a circle with center (−3, 2) and radius 8, what is a value of m?
Talja [164]
\bf \textit{distance between 2 points}\\ \quad \\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%  (a,b)&#10;&({{ -3}}\quad ,&{{ 2}})\quad &#10;%  (c,d)&#10;&({{ m}}\quad ,&{{ 2}})&#10;\end{array}\qquad &#10;%  distance value&#10;d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}

\bf \textit{we know the distance from m,2 and -3,2(center) is the radius}&#10;\\\\\\&#10;d=8\implies 8=\sqrt{[m-(-3)]^2+[2-2]^2}&#10;\\\\\\&#10;8=\sqrt{(m+3)^2+(0)^2}\implies 8=\sqrt{(m+3)^2}\implies 8^2=(m+3)^2&#10;\\\\\\&#10;64=(m+3)^2\implies \sqrt{64}=\sqrt{(m+3)^2}\implies 8=m+3&#10;\\\\\\&#10;8-3=m
4 0
3 years ago
Other questions:
  • A rectangle’s width is one-fourth of its length. Its area is 9 square units. The equation l(l) =1/4 9 can be used to find l, the
    9·1 answer
  • Is this right or not.
    8·1 answer
  • Last year alvina contributed 85$ per month toward her 401k account if her employer matched 20% of her contributions, what was th
    7·1 answer
  • Vignesh owns a cottage in the shape of a cube with each edge of length 26 feet. The roof is in the shape of a square pyramid and
    9·1 answer
  • Farah rolls a fair dice and flips a fair coin. What is the probability of obtaining a 5 and a head? Give your answer in its simp
    10·1 answer
  • Hey uh guys i need help pls thanks
    12·1 answer
  • Evaluate the expression 4 ÷ 2 + 52.
    7·2 answers
  • Well happy New Year everyone. I've been thinking about the upcoming year "2021" and found something interesting. Reduced to its
    6·1 answer
  • ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!!
    9·1 answer
  • Given the inequalities y &lt; 2x+2 and y&gt;-3x+2 graphed on the same
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!