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

Ask by Brewer Adkins. in the United States

Nov 05,2024

Question

Which expressions have a value between 7 and 8 ? Choose all that apply. B. A. $$ 2 \pi $$ B. $$ \pi+4 $$ 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.

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

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

3. **Expression 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.

4. **Expression D: $$ \sqrt{56} $$**
   $$
   \sqrt{56} = \sqrt{4 \times 14} = 2\sqrt{14} \approx 2 \times 3.74 = 7.48
   $$
   This is between 7 and 8.

5. **Expression E: $$ \sqrt{62} $$**
   $$
   \sqrt{62} \approx 7.87 \quad (\text{since } 7.87^2 \approx 62)
   $$
   This is also between 7 and 8.

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

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

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

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