Which expressions have a value between 7 and 8 ? Choose all that apply.
A.
B.
C.
D.
E.

Ask by Luna Barnett. in the United States

Nov 05,2024

Question

Which expressions have a value between 7 and 8 ? Choose all that apply. A. $$ 2 \pi $$ B. $$ \pi+4 $$ $$ \square $$ C. $$ \sqrt{48} $$ D. $$ \sqrt{56} $$ E. $$ \sqrt{62} $$

UpStudy AI · Accepted Answer

To determine which expressions have a value between 7 and 8, we will evaluate each expression.

A. $$ 2 \pi $$
$$
2 \pi \approx 2 \times 3.14 = 6.28
$$
This is not between 7 and 8.

B. $$ \pi + 4 $$
$$
\pi + 4 \approx 3.14 + 4 = 7.14
$$
This is between 7 and 8.

C. $$ \sqrt{48} $$
$$
\sqrt{48} = \sqrt{16 \times 3} = 4\sqrt{3} \approx 4 \times 1.73 = 6.92
$$
This is not between 7 and 8.

D. $$ \sqrt{56} $$
$$
\sqrt{56} = \sqrt{16 \times 3.5} = 4\sqrt{3.5} \approx 4 \times 1.87 = 7.48
$$
This is between 7 and 8.

E. $$ \sqrt{62} $$
$$
\sqrt{62} \approx 7.87
$$
This is also between 7 and 8.

Now, summarizing the results:
- A: Not between 7 and 8
- B: Between 7 and 8
- C: Not between 7 and 8
- D: Between 7 and 8
- E: Between 7 and 8

Thus, the expressions that have a value between 7 and 8 are:
- B. $$ \pi + 4 $$
- D. $$ \sqrt{56} $$
- E. $$ \sqrt{62} $$

The final answer is:
B, D, E.
B, D, E.

Which expressions have a value between 7 and 8 ? Choose all that apply.
A.
B.
C.
D.
E.

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Which expressions have a value between 7 and 8 ? Choose all that apply. A. B. C. D. E.