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Alex17521 [72]
2 years ago
11

8.5 A Circumference of 44 A circle’s circumference is approximately 44 cm. Complete each statement using one of these values: 7,

11, 14, 22, 88, 138, 154, 196, 380, 616.
The circle’s diameter is approximately ________ cm.

. The circle’s radius is approximately ________ cm.

The circle’s area is approximately ________ cm2
Mathematics
2 answers:
KengaRu [80]2 years ago
7 0
I believe this is the answer
Diameter= 14cm
Radius=7cm
Area=154cm2
Hope this helps
Airida [17]2 years ago
5 0

Answer:

diameter: 14

radius: 7

area: 154

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Holly and 2 her best friends went to dinner. Their total bill was $32.20. They use a coupon for 15% off the total. If they split
V125BC [204]

Answer:

$9.12 each

Step-by-step explanation:

15 percent of 32.20 = 4.83. 32.20 - 4.83 = 27.37.

27.37/3 friends = about $9.12 each

7 0
3 years ago
1-69.
timofeeve [1]

The question above was not written properly

Complete Question

Lacey and Haley are rewriting expressions in an equivalent, simpler form.

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

Answer:

a) Haley is correct, Lacey simplified wrongly.

b) Haley is incorrect

Step-by-step explanation:

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

For Question a, when it comes to simplifying algebraic expression that has to do with powers, there are certain rules that should be followed.

For example

x^a × x^b = x^(a + b)

For Haley, she simplified x³⋅ x² and got

x⁵

She is correct because this follows the product rule of powers or exponents above

= x³⋅ x² = x³+² = x⁵

For Lacey she is wrong because:

x³ + x² ≠ x⁵

x³ + x² when simplified as quadratic equation = x²(x + 1)

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

For question b, when we have two distinct or different numbers with the same power(exponents) the rule states that:

x^a × y^a = (x × y)^a = (xy)^a

Haley is simplified wrongly. She did not apply the rule above

Haley simplified 3⁵⋅ 4⁵ = (3 × 4) ⁵+⁵

= 12^10, this is wrong.

The correct answer according to the rule =

3⁵⋅ 4⁵ = (3 × 4) ⁵ = 12⁵

Therefore,

3⁵⋅ 4⁵ ≠ 12^10

3⁵⋅ 4⁵ = 12⁵

Haley is wrong.

3 0
3 years ago
Please help me with all three! 25 Points!!
Gnoma [55]

a. 28 * 63

28 (60) + 28 (3) or 20 (60) +20 (3) + 8 (60) + 8 (3)

1680 + 84=1764     1200 / 60 +480 +24=1764


b. 17(59)

17 (50) + 17 (9)   or  10 (50) + 10 (9) + 7 (50) +7 (3)

850 + 153=1003         500 + 90 + 63 =1003


c.458 (15)

458 (10) +458 (5)   or  10 (400) + 10 (50) + 10 (8) + 5 (400) +5 (50) + 5 (8)

4580 +2290 = 6870       400 + 500 + 80 + 2000 + 250 + 40 = 6870

My work is kinda confusing but hope it helped

8 0
3 years ago
A particular brand of dishwasher soap is sold in three sizes: 25 oz, 40 oz, and 60 oz. Twenty percent of all purchasers select a
ss7ja [257]

Answer:

Please find solution in the picture attached

Step-by-step explanation:

4 0
3 years ago
Express the following in exponential notation: (-4) x ... x (-4) 11 times
Anni [7]

Given:

The expression is:

(-4)\times ...\times (-4) (11\text{ times})

To find:

The exponential notation for the given expression.

Solution:

We know that

a\times a\times ...\times a(n\text{ times})=a^n         ...(i)

We have,

(-4)\times ...\times (-4) (11\text{ times})

Using (i), the given expression can be written as:

(-4)\times ...\times (-4) (11\text{ times})=(-4)^{11}

Therefore, the exponential notation of the given expression is (-4)^{11}.

4 0
2 years ago
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