All categories

2 years ago

5. Which is closest in value to √42? A 5.5 (B) 6 C) 6.5 D 7 How do I solve this

Mathematics

2 answers:

xxTIMURxx [149]2 years ago

7 0

Step-by-step explanation:

first of all, you could use a calculator and see and compare.

but let's look at this logically :

what fully squared numbers are closest to 42 ?

there is 36 (6²) below, and 49 (7²) above.

so, the solution must be between 6 and 7.

now is 6, 6.5 or 7 closest to the real solution ?

the difference of 6² or 36 to 42 is 6, and the difference of 7² or 49 to 42 is 7.

42 is more or less in the middle.

that means that also the square root will be relatively close to the middle between 6 and 7.

so, 6.5 is the answer.

igomit [66]2 years ago

3 0

The closest number to √42 is the option C, 6.5

You might be interested in

£1800 is invested at4% compound interest per year.

deff fn [24]

2000=1800(1.04)^t,,log(1.11)/log(1.04)=t use the calculator,,,hope it helps :-)

3 0

3 years ago

An archaeologist at a dig sets up a coordinate system using string. Two similar artifacts are found one at position (1, 4) and t

myrzilka [38]

Given:

Positions of two artifacts are at points (1, 4) and (5, 2).

To find:

The distance between these two artifacts.

Solution:

Distance formula: The distance between two points is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, the distance between two points (1, 4) and (5, 2) is

$d=\sqrt{(5-1)^2+(2-4)^2}$

$d=\sqrt{(4)^2+(-2)^2}$

$d=\sqrt{16+4}$

$d=\sqrt{20}$

$d=4.4721359$

Round to the nearest tenth of a unit.

$d\approx 4.5$

Therefore, the distance between two artifacts is 4.5 units.

4 0

3 years ago

If cot theta= 4/3, find csc theta

Marrrta [24]

Answer: Option d.

Step-by-step explanation:

The trigonometric identity needed is:

$csc^2\theta=cot^2\theta+1$

Knowing that $cot\theta=\frac{4}{3}$ :

Substitute it into $csc^2\theta=cot^2\theta+1$ :

$csc^2\theta=(\frac{4}{3})^2+1$

Simplify the expression:

$csc^2\theta=(\frac{4}{3})^2+1\\\\csc^2\theta=\frac{16}{9}+1\\\\csc^2\theta=\frac{25}{9}$

Solve for $csc\theta$ . Apply square root at both sides of the expression:

$\sqrt{csc^2\theta}=\±\sqrt{\frac{25}{9}}$

$csc\theta=\frac{5}{3}$

8 0

3 years ago

Carlos drunk 2740 milliliters after football practice how much liters does he drink

Anni [7]

2.74 liters since 1000mL is a liter.

7 0

3 years ago

PLEASE SEE PIC BELOW

marysya [2.9K]

Answer:

They have the same domain and range

Step-by-step explanation:

Although they are different equations, they both have a domain of

[0,∞)

and a range of

[0,∞)

5 0

3 years ago