answer.
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
nignag [31]
1 year ago
7

12. A cereal company decided to make an odd-shaped box for a promotion they are doing. The new design is a rectangular prism wit

h length of 10 cm, width of 8 cm, and height of 4 cm. and attached to the rectangular prism is a cylinder with a radius of 2 cm. and a height of 10 cm. How much cereal (in L) will fit in the box?
Mathematics
1 answer:
yaroslaw [1]1 year ago
7 0
This one odd cereal box. We are asked to find the volume of the "box". This can be answered in 2 parts. The total volume is the sum of the rectangular prism volume and the volume of the cylinder. The volume of the rectangular prism is 8x4x10 = 320 cm^3. Then the volume of the cylinder is \pi  r^{2} h = V. The volume of the cylinder is then 125.66. The total volume is then 445.66 ml (Note: ml = cm^3). Then V = 0.45L
You might be interested in
Which equation is y = 3(x – 2)2 – (x – 5)2 rewritten in vertex form? Y = 3 (x minus seven-halves) squared minus StartFraction 27
densk [106]

Answer: y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction

or

y=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}

Step-by-step explanation:

Vertex form of equation : f (x) = a(x - h)^2 + k,where (h, k) is the vertex of the parabola.

y=3(x-2)^2-(x-5)^2\\\\=3(x^2+4-4x)-(x^2+25-10x)\\\\=3x^2+12-12x-x^2-25+10x\\\\=2x^2-2x-13\\\\=2(x^2-x-\dfrac{13}{2})\\\\=2(x^2-x+\dfrac{1}{4}-\dfrac{1}{4}-\dfrac{13}{2})\\\\=2((x-\dfrac{1}{2})^2-\dfrac{1+26}{4})\\\\=2((x-\dfrac{1}{2})^2-\dfrac{27}{4})=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}

Hence, the vertex form of the equation is y=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}

8 0
2 years ago
Read 2 more answers
A 250-kVA, three-phase, 480-volt transformer requires 75 gallons of insulating oil to keep it properly cooled. How many liters i
Dennis_Churaev [7]

This problem can be directly solved by using a conversion factor. Simple research will tell us that 1 gallon contains about 3.78 Liter. Therefore the volume in Liter is:

volume = 75 gallons * (3.78 Liter / gallon)

<span>volume = 283.5 Liters</span>

7 0
1 year ago
Joshua is 25 years old and has a high risk job making $72,000 a year. The insurance company charges him an extra 20% on top of h
aleksandrvk [35]
The premium will cover 14,400 dollars over the course of 5 years.
7 0
2 years ago
Read 2 more answers
Farid is baking muffins, The recipe calls for 3/4 cup of sugar for a full batch. Farid is making 1/2 of a batch. Write an expres
Tems11 [23]

Answer:

y = 3/8x

or

3/8 cups of sugar for every 1/2 batch of muffins

Step-by-step explanation:

Since we are only making 1/2 of the full batch of muffins, we only need to use 1/2 the cups of sugar:

\frac{3}{4} (\frac{1}{2} )= \frac{3}{8} cups of sugar.

8 0
2 years ago
Read 2 more answers
Consider the incomplete paragraph proof. Given: Isosceles right triangle XYZ (45°–45°–90° triangle) Prove: In a 45°–45°–90° tria
Norma-Jean [14]

Answer:

(C)Determine the principal square root of both sides of the equation.

Step-by-step explanation:

Given: Isosceles right triangle XYZ (45°–45°–90° triangle)

To Prove: In a 45°–45°–90° triangle, the hypotenuse is \sqrt{2} times the length of each leg.

Proof:

\angle XYZ$ is 90^\circ$ and the other 2 angles are 45^\circ. \\\overline{XY} = a, \overline{YZ}= a, \overline{XZ}= c.\\

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a^2 + b^2 = c^2

Since a=b in an isosceles triangle:

a^2 + a^2 = c^2\\$Combining like terms\\2a^2 = c^2\\$Determine the principal square root of both sides of the equation.\\\sqrt{c^2}=\sqrt{2a^2}  \\\\c=a\sqrt{2} \\

Therefore, the next step is to Determine the principal square root of both sides of the equation.

8 0
1 year ago
Read 2 more answers
Other questions:
  • What is the value of 3 in 630
    8·1 answer
  • The basketball game had 500 people in attendance. If the ratio of hawk fans to cyclone fans is 2:10, how many more cyclone fans
    14·1 answer
  • The sum of the first 15 terms of the sequence an=10n+21
    12·1 answer
  • A ride at an amusement park moves the riders in a circle at a rate of 6.0 m/s. The radius of the ride is 9.0 meters. Which of th
    7·1 answer
  • The sample variance of hourly wages was 10. what is the sample standard deviation?
    7·1 answer
  • A right triangle (triangle 1) has a hypotenuse length of 115 mm and α = 31.2°. What are the measurements for a, b, and β? 2. A r
    14·1 answer
  • C) Your parents have been advised to save 5% of their income for your college education
    10·2 answers
  • Sasha says that she drew an acute isosceles triangle with side lengths of 6 cm, 9 cm, and 12 cm and angles of 30°, 50°, and 100°
    8·1 answer
  • Select all the expressions that could represent the volume of a box, which is a fourth degree polynomial in variables x and y.
    11·1 answer
  • What kinds of quadrilateral is the shape shown ?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!