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DIA [1.3K]
3 years ago
10

What constant do you need to add to each of the following quadratic equations to complete the square?

Mathematics
1 answer:
Ghella [55]3 years ago
5 0
Where are the quadratic equations?
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The circumference of the inner circle is 66 ft. The distance between the inner circle and the outer circle is 44 ft. By how many
Ray Of Light [21]

Answer:

  276 4/7 ft

Step-by-step explanation:

Let r1 represent the radius of the inner circle. Then its circumference in feet is ...

  C = 2πr

  66 = 2π(r1)

If the radius of the outer circle is (r1 +44), then its circumference is ...

  C = 2π(r1 +44) = 2π(r1) +2π(44)

  C = 66 +88π

Then the difference in the circumferences is ...

  (66 +88π) - (66) = 88π

Using the given value of π, the difference in circumferences is ...

  (88 ft)(22/7) = 1936/7 ft = 276 4/7 ft

6 0
2 years ago
What is f if the equation is -3/4f=5/4?​
Lilit [14]

Answer:

Exact Form:

f=-5/3

Decimal Form:

f= -1.6

Mixed Number form:

f= -1 2/3

Step-by-step explanation:

Solve for f by simplifying both sides of the equation , then isolating the variable .

Exact Form:

f=-5/3

Decimal Form:

f= -1.6

Mixed Number form:

f= -1 2/3

8 0
2 years ago
What is 39 squared? A. 39 B. 1,482 C. 1,521 D. 78
iogann1982 [59]
Hey There!

The answer to you're question is C, because squared means to the power of two. So, 39 * 39 is 1,521.

Have A Brainly Day!
5 0
2 years ago
Beth had 1 yard of ribbon she used 1/4 yard for a project she wants to divide the rest into 1/8 yard pieces
Lesechka [4]
She'll have 6/8 yard of ribbon left
3 0
2 years ago
Read 2 more answers
Find the volume and surface area of the prism below
Nata [24]

Answer:

a) The volume of the prism is 660 mm³

b) The surface area of the prism is 514 mm²

Step-by-step explanation:

The given prism for which we are to find the volume and the surface area shows the dimensions of the sides

a) To find the volume, we can consider the prism as a composite figure as follows;

The topmost cuboid with dimensions (15 - 2×3) mm, 3 mm, and 9 mm

Therefore, the volume of the topmost cuboid, V₁, is given as follows;

V₁ = 5 mm × 3 mm × 9 mm = 135 mm³

The volume of the cuboid on which the top cuboid rest, V₂, is given as follows;

V₂ = 15 mm × 5 mm × 7 mm = 525 mm³

The volume of the prism, V = V₁ + V₂

Therefore, we have;

V =135 mm³ + 525 mm³ = 660 mm³

The volume of the prism, V = 660 mm³

b) The surface area of the prism is given as follows;

The surface area of the top cuboid, SA₁, is given as follows;

SA₁ = 9 mm × 5 mm + 2 × 3 mm × 9 mm + 2 × 3 mm × 5 mm = 129 mm²

The surface area of the larger cuboid, SA₂, is given as follows;

SA₂ = 2 × 15 mm × 7 mm + 2 × 5 mm × 7 mm + 2 × 3 mm × 5 mm + 15 mm × 5 mm = 385 mm²

The surface area of the prism, SA = SA₁ + SA₂

∴ The surface area of the prism, SA = 129 mm² + 385 mm² = 514 mm²

4 0
2 years ago
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