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
lidiya [134]
2 years ago
7

3 times the sum of r and s squared minus 2 times the sum of r and d square

Mathematics
1 answer:
coldgirl [10]2 years ago
7 0

Answer:

r^2 + 6rs  - 4rd - 2d^2 + 3s^2

Step-by-step explanation:

3(r+s)^2 - 2(r+d)^2

PEMDAS

parenthesis, exponents, multiplication, division, addition, subtraction

in that order

3( r^2 + 2rs + s^2 ) - 2(r^2+ 2rd + d^2)

3r^2 + 6rs + 3s^2 - 2r^2 - 4rd - 2d^2

r^2 + 6rs  - 4rd - 2d^2 + 3s^2

You might be interested in
Identify the domain of the function shown in the graph.
lubasha [3.4K]

Answer:

C. x is all real numbers

Step-by-step explanation:

Think of domain as how far the graph expands on the x-axis as asymptotes as the limits. So in this case, the graph extends infinitely on the x-axis; so it should be all real numbers.

3 0
2 years ago
What expression is equivalent to -3(4x - 2) - 2x
bearhunter [10]

Answer:

<em>-14x+6</em>

Step-by-step explanation:

first, we distribute the -3.

-3(4x - 2) - 2x=-12x+6-2x

than, we conbide like terms

-12x+6-2x=-14x+6

4 0
3 years ago
I have 8 slices of pizza in a box, all 8 are triangle shaped, my perimeter is 43.98 Octagon with each edge 5.49 inches. So, I ne
kondor19780726 [428]

Answer:

1) The area of the circle pizza is approximately 161.64 in.²

2) The area of the octagon shaped pizza is approximately 145.52 square inches

Step-by-step explanation:

The 8 slices of pizza combine to form the composite octagon

The parameters of the pizza are;

The perimeter of the octagon = 43.98 inches

The length of each (outer) edge of the octagon = 5.49 inches

The outer edge of the octagon = The base of the triangle shaped pizza

Let θ represent the vertex angle of the triangle shaped pizza

Therefore, we have;

θ = (The angle at the center point of the pizza)/8 = 360°/8 = 45°

The vertex angle of the triangle shaped pizza, θ = 45°

We note that a triangle shaped pizza is isosceles shaped, therefore, the base angles are given as follows;

The base angles of a piece of pizza = (180° - (angle at vertex))/2

∴ The base angles of a piece of pizza = (180° - 45°)/2 = 67.5°

The length, 'l', of the other sides of the triangle shaped pizza is given by sine rule as follows;

l/(sin 67.5°) = 5.49/(sin(45°)

∴ l = (sin 67.5°) × 5.49/(sin(45°)

l = (sin 67.5°) × 5.49/(sin(45°) ≈ 7.173

The length of the other sides of the triangle shaped pizza, l ≈ 7.173 inches

1) The length of the other sides of the triangle shaped pizza, l = The radius of the circle, r

The area of the circle = π·l²

∴ The area of the circle ≈ π × (7.173 in.)² ≈ 161.64 in.²

2) The area of each triangle piece of pizza is given as follows;

The area of a triangle, A = 1/2×l·b·sin(C)

∴ A = 1/2× 5.49 × 7.173 × sin(67.5°) ≈ 18.19

The area of each triangle piece of pizza, A ≈ 18.19 inches²

The total area of 8 slices of octagon shaped pizza, TA ≈ 8 × A

∴ TA ≈ 8 × 18.19 inches² ≈ 145.52 inches²

The total area of 8 slices of octagon shaped pizza, TA ≈ 145.52 inches²

4 0
2 years ago
Please I need help with some geometry. An image with the question is attached.
Vladimir [108]

Answer:

Not enough information

Step-by-step explanation:

You gave the height, but there is no length. You need both the height and length because the area of a triangle is 1/2bh

4 0
3 years ago
Substitute r=3 and h=5 into the formula V=piR^2h then evaluate
nikitadnepr [17]

To evaluate when plugging in numerical values for variables, simply put the numerical values in the place of the corresponding variables:

V = \pi \cdot 3^2 \cdot 5

\boxed{V = 45\pi \approx 141.37}

4 0
3 years ago
Read 2 more answers
Other questions:
  • You construct a​ 95% confidence interval for a population mean using a random sample. the confidence interval is 24.9less thanmu
    7·1 answer
  • Can you help me..Pls work it out
    10·1 answer
  • On a quiz there are four multiple-choice questions worth 3 points each and two true/false questions
    11·2 answers
  • According to the order of operations, which of the following should be evaluated first? exponents multiplication or division exp
    8·2 answers
  • Write the pair of fractions as a pair of fractions with a common denominator 1/4 and 5/12
    8·1 answer
  • Is it a b c or d I need to know that
    13·2 answers
  • The mean and standard deviation for the heights of men in the U.S. are 70 inches and 4 inches respectively and are normally dist
    5·1 answer
  • Evaluate w + 2w + 1
    13·1 answer
  • Plz help guys I need help
    11·1 answer
  • 2.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!