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3 years ago

How many 1/2 foot pieces can be cut from 6 foot ribbon?

1 answer:

8 0

Number of ribbons that can be cut = 6 ÷ 1/2
Number of ribbons that can be cut = 6 x 2/1
Number of ribbons that can be cut = 12

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Answer: 12 1/2 foot pieces can be cut from 6 feet ribbon
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The height of a triangle is 8ft greater than the base. The area of the triangle is 136.5 square ft. Find the length of the base

mixer [17]

Answer:

the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

Step-by-step explanation:

Note that the formula for the area of a triangle is A = (1/2)(base)(height). Let's abbreviate that to A = (1/2)(b)(h). We are told that h = b + 8.

Then A = 136.5 = (1/2)(b)(b + 8), or

(after multiplying both sides by 2)

A = 273 = b^2 + 8b

which, when put into standard quadratic form, becomes:

b^2 + 8b - 273 = 0

The coefficients of this quadratic are a = 1, b = 8 and c = -273.

Thus, the discriminant is b^2 - 4ac, or 64 - 4(1)(-273) = 1156 = 17^2.

The roots are then

-8 ± √1156 -8 ± 17

x = -------------------- = ------------ = 9/2 and -25/2

2 2

Only the root 9/2 makes sense here, because measurements of length are positive.

Thus, the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

3 0

3 years ago

Please someone help with my math

Pepsi [2]

Answer:

1. .31

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3. .08

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6. .75

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8. .09

9. 4.55

10 .10

11. 9.33

12. .92

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Step-by-step explanation:

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6 0

3 years ago

How many centimeters is my bag If IT was 9 centimeters and lost 3 centimeters

geniusboy [140]

Your answer is 6 centimeters because you would have to subtract 3 from 9. Hence, your answer is 6.

Hope I helped!

4 0

3 years ago

Read 2 more answers

list the pair of congruent angles and the extended proportion that relations the corresponding sides for the similar polygons KL

kherson [118]

Answer:

In Polygons KLMNP and HGFDC,

Angles K, L, M, N and P are corresponding to H, G, F, D and C,

And, Sides KL, LM, MN, NP and PK are corresponding to sides HG, GF, FD, DC and CH

If the two figures are similar then their corresponding sides and angles are congruent.

Therefore, If Polygon KLMNP is similar to HGFDC,

Then, ∠ K ≅ ∠ H, ∠ L ≅ ∠ G, ∠ M ≅ ∠ F, ∠ N ≅ ∠ D, ∠ P ≅ ∠ C

And, KL ≅ HG, LM ≅ GF, MN≅FD, NP≅DC, PK≅CH

7 0

3 years ago

Explain why the function y=1-cosx is an even function

Oksanka [162]

A function is said to even if it returns the same output when given two opposite inputs:

$f(x) = f(-x)$

In your case, you have

$f(x) = 1-\cos(x), \quad f(-x) = 1-\cos(-x)$

And since $\cos(x) = \cos(-x)$ , the proof is concluded.

8 0

3 years ago